TSTP Solution File: SWW394+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SWW394+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n027.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 : Mon Mar 25 14:40:31 EDT 2024
% Result : Theorem 19.49s 19.67s
% Output : Proof 19.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWW394+1 : TPTP v8.1.2. Released v5.2.0.
% 0.04/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Mar 21 01:56:31 EDT 2024
% 0.13/0.34 % CPUTime :
% 19.49/19.67 % SZS status Theorem for theBenchmark
% 19.49/19.67 % SZS output start Proof for theBenchmark
% 19.49/19.67
% 19.49/19.67 % Formula: fact_ext ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_ext-1, axiom, ( ( hAPP(_u1, skolem1(_u2, _u1)) != hAPP(_u2, skolem1(_u2, _u1))) | ( _u1 = _u2) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_empty ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_empty-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u3, _u4, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u3), tc_HOL_Obool))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_hoare__derivs_Oequations_I1_J ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_hoare__derivs_Oequations_I1_J-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u5, _u6, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u5), tc_HOL_Obool))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_cut ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_cut-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u7, _u8, _u9) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u7, _u10, _u8) | c_Hoare__Mirabelle_Ohoare__derivs(_u7, _u10, _u9) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_hoare__derivs_Oinsert ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_hoare__derivs_Oinsert-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u11, _u12, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u11)), _u13), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u11), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u11, _u12, _u14) | c_Hoare__Mirabelle_Ohoare__derivs(_u11, _u12, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u11)), _u13), _u14)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_derivs__insertD ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_derivs__insertD-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u15, _u16, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u15)), _u17), _u18)) | c_Hoare__Mirabelle_Ohoare__derivs(_u15, _u16, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u15)), _u17), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u15), tc_HOL_Obool)))) )).
% 19.49/19.67 cnf(fact_derivs__insertD-2, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u15, _u16, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u15)), _u17), _u18)) | c_Hoare__Mirabelle_Ohoare__derivs(_u15, _u16, _u18) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_empty__not__insert ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_empty__not__insert-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u19, tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(_u19), _u20), _u21)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_insert__not__empty ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_insert__not__empty-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u22), _u23), _u24) != c_Orderings_Obot__class_Obot(tc_fun(_u22, tc_HOL_Obool))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_doubleton__eq__iff ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_doubleton__eq__iff-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u30), _u32), hAPP(hAPP(c_Set_Oinsert(_u30), _u34), c_Orderings_Obot__class_Obot(tc_fun(_u30, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u30), _u36), hAPP(hAPP(c_Set_Oinsert(_u30), _u38), c_Orderings_Obot__class_Obot(tc_fun(_u30, tc_HOL_Obool))))) | ( _u32 = _u36) | ( _u32 = _u38) )).
% 19.49/19.67 cnf(fact_doubleton__eq__iff-2, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u30), _u32), hAPP(hAPP(c_Set_Oinsert(_u30), _u34), c_Orderings_Obot__class_Obot(tc_fun(_u30, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u30), _u36), hAPP(hAPP(c_Set_Oinsert(_u30), _u38), c_Orderings_Obot__class_Obot(tc_fun(_u30, tc_HOL_Obool))))) | ( _u32 = _u36) | ( _u34 = _u36) )).
% 19.49/19.67 cnf(fact_doubleton__eq__iff-3, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u30), _u32), hAPP(hAPP(c_Set_Oinsert(_u30), _u34), c_Orderings_Obot__class_Obot(tc_fun(_u30, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u30), _u36), hAPP(hAPP(c_Set_Oinsert(_u30), _u38), c_Orderings_Obot__class_Obot(tc_fun(_u30, tc_HOL_Obool))))) | ( _u34 = _u38) | ( _u32 = _u38) )).
% 19.49/19.67 cnf(fact_doubleton__eq__iff-4, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u30), _u32), hAPP(hAPP(c_Set_Oinsert(_u30), _u34), c_Orderings_Obot__class_Obot(tc_fun(_u30, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u30), _u36), hAPP(hAPP(c_Set_Oinsert(_u30), _u38), c_Orderings_Obot__class_Obot(tc_fun(_u30, tc_HOL_Obool))))) | ( _u34 = _u38) | ( _u34 = _u36) )).
% 19.49/19.67 cnf(fact_doubleton__eq__iff-5, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u31), _u33), hAPP(hAPP(c_Set_Oinsert(_u31), _u35), c_Orderings_Obot__class_Obot(tc_fun(_u31, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u31), _u37), hAPP(hAPP(c_Set_Oinsert(_u31), _u39), c_Orderings_Obot__class_Obot(tc_fun(_u31, tc_HOL_Obool))))) | ( _u33 != _u37) | ( _u35 != _u39) )).
% 19.49/19.67 cnf(fact_doubleton__eq__iff-6, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u31), _u33), hAPP(hAPP(c_Set_Oinsert(_u31), _u35), c_Orderings_Obot__class_Obot(tc_fun(_u31, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u31), _u37), hAPP(hAPP(c_Set_Oinsert(_u31), _u39), c_Orderings_Obot__class_Obot(tc_fun(_u31, tc_HOL_Obool))))) | ( _u33 != _u39) | ( _u35 != _u37) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_singleton__inject ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_singleton__inject-1, axiom, ( ( _u41 = _u42) | ( hAPP(hAPP(c_Set_Oinsert(_u40), _u41), c_Orderings_Obot__class_Obot(tc_fun(_u40, tc_HOL_Obool))) != hAPP(hAPP(c_Set_Oinsert(_u40), _u42), c_Orderings_Obot__class_Obot(tc_fun(_u40, tc_HOL_Obool)))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_bot__apply ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_bot__apply-1, axiom, ( ~class_Orderings_Obot(_u43) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u44, _u43)), _u45) = c_Orderings_Obot__class_Obot(_u43)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_the__elem__eq ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_the__elem__eq-1, axiom, ( ( c_Set_Othe__elem(_u46, hAPP(hAPP(c_Set_Oinsert(_u46), _u47), c_Orderings_Obot__class_Obot(tc_fun(_u46, tc_HOL_Obool)))) = _u47) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_insert__absorb2 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_insert__absorb2-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u48), _u49), hAPP(hAPP(c_Set_Oinsert(_u48), _u49), _u50)) = hAPP(hAPP(c_Set_Oinsert(_u48), _u49), _u50)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_insert__commute ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_insert__commute-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u51), _u52), hAPP(hAPP(c_Set_Oinsert(_u51), _u53), _u54)) = hAPP(hAPP(c_Set_Oinsert(_u51), _u53), hAPP(hAPP(c_Set_Oinsert(_u51), _u52), _u54))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_insert__code ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_insert__code-1, axiom, ( ( _u61 = _u65) | hBOOL(hAPP(_u63, _u65)) | ~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u59), _u61), _u63), _u65)) )).
% 19.49/19.67 cnf(fact_insert__code-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u60), _u62), _u64), _u66)) | ( _u62 != _u66) )).
% 19.49/19.67 cnf(fact_insert__code-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u60), _u62), _u64), _u66)) | ~hBOOL(hAPP(_u64, _u66)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_hoare__sound ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_hoare__sound-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u67, _u68, _u69) | c_Hoare__Mirabelle_Ohoare__valids(_u67, _u68, _u69) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_fold1Set__sing ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_fold1Set__sing-1, axiom, ( ( _u78 = _u80) | ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u74, _u76, hAPP(hAPP(c_Set_Oinsert(_u74), _u78), c_Orderings_Obot__class_Obot(tc_fun(_u74, tc_HOL_Obool)))), _u80)) )).
% 19.49/19.67 cnf(fact_fold1Set__sing-2, axiom, ( ( _u79 != _u81) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u75, _u77, hAPP(hAPP(c_Set_Oinsert(_u75), _u79), c_Orderings_Obot__class_Obot(tc_fun(_u75, tc_HOL_Obool)))), _u81)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_folding__one_Osingleton ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_folding__one_Osingleton-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u82, _u83, _u84) | ( hAPP(_u84, hAPP(hAPP(c_Set_Oinsert(_u82), _u85), c_Orderings_Obot__class_Obot(tc_fun(_u82, tc_HOL_Obool)))) = _u85) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_fold1Set__nonempty ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_fold1Set__nonempty-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u86, _u87, _u88), _u89)) | ( _u88 != c_Orderings_Obot__class_Obot(tc_fun(_u86, tc_HOL_Obool))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_empty__fold1SetE ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_empty__fold1SetE-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u90, _u91, c_Orderings_Obot__class_Obot(tc_fun(_u90, tc_HOL_Obool))), _u92)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_fold1__singleton__def ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_fold1__singleton__def-1, axiom, ( ( _u93 != c_Finite__Set_Ofold1(_u94, _u95)) | ( hAPP(_u93, hAPP(hAPP(c_Set_Oinsert(_u94), _u96), c_Orderings_Obot__class_Obot(tc_fun(_u94, tc_HOL_Obool)))) = _u96) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_fold1__singleton ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_fold1__singleton-1, axiom, ( ( hAPP(c_Finite__Set_Ofold1(_u97, _u98), hAPP(hAPP(c_Set_Oinsert(_u97), _u99), c_Orderings_Obot__class_Obot(tc_fun(_u97, tc_HOL_Obool)))) = _u99) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_subset__singletonD ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_subset__singletonD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u100, tc_HOL_Obool)), _u101), hAPP(hAPP(c_Set_Oinsert(_u100), _u102), c_Orderings_Obot__class_Obot(tc_fun(_u100, tc_HOL_Obool))))) | ( _u101 = c_Orderings_Obot__class_Obot(tc_fun(_u100, tc_HOL_Obool))) | ( _u101 = hAPP(hAPP(c_Set_Oinsert(_u100), _u102), c_Orderings_Obot__class_Obot(tc_fun(_u100, tc_HOL_Obool)))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_singletonE ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_singletonE-1, axiom, ( ( _u104 = _u105) | ~hBOOL(hAPP(hAPP(c_member(_u103), _u104), hAPP(hAPP(c_Set_Oinsert(_u103), _u105), c_Orderings_Obot__class_Obot(tc_fun(_u103, tc_HOL_Obool))))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_singleton__iff ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_singleton__iff-1, axiom, ( ( _u111 = _u113) | ~hBOOL(hAPP(hAPP(c_member(_u109), _u111), hAPP(hAPP(c_Set_Oinsert(_u109), _u113), c_Orderings_Obot__class_Obot(tc_fun(_u109, tc_HOL_Obool))))) )).
% 19.49/19.67 cnf(fact_singleton__iff-2, axiom, ( ( _u112 != _u114) | hBOOL(hAPP(hAPP(c_member(_u110), _u112), hAPP(hAPP(c_Set_Oinsert(_u110), _u114), c_Orderings_Obot__class_Obot(tc_fun(_u110, tc_HOL_Obool))))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_folding__image__simple_Oempty ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_folding__image__simple_Oempty-1, axiom, ( ( hAPP(_u120, c_Orderings_Obot__class_Obot(tc_fun(_u116, tc_HOL_Obool))) = _u118) | ~c_Finite__Set_Ofolding__image__simple(_u115, _u116, _u117, _u118, _u119, _u120) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_insert__is__Un ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_insert__is__Un-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u121), _u122), _u123) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u121, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u121), _u122), c_Orderings_Obot__class_Obot(tc_fun(_u121, tc_HOL_Obool)))), _u123)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_insert__Diff__single ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_insert__Diff__single-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u124), _u125), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u124, tc_HOL_Obool)), _u126), hAPP(hAPP(c_Set_Oinsert(_u124), _u125), c_Orderings_Obot__class_Obot(tc_fun(_u124, tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(_u124), _u125), _u126)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Diff__insert2 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Diff__insert2-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u127, tc_HOL_Obool)), _u128), hAPP(hAPP(c_Set_Oinsert(_u127), _u129), _u130)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u127, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u127, tc_HOL_Obool)), _u128), hAPP(hAPP(c_Set_Oinsert(_u127), _u129), c_Orderings_Obot__class_Obot(tc_fun(_u127, tc_HOL_Obool))))), _u130)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Diff__insert ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Diff__insert-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u131, tc_HOL_Obool)), _u132), hAPP(hAPP(c_Set_Oinsert(_u131), _u133), _u134)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u131, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u131, tc_HOL_Obool)), _u132), _u134)), hAPP(hAPP(c_Set_Oinsert(_u131), _u133), c_Orderings_Obot__class_Obot(tc_fun(_u131, tc_HOL_Obool))))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_folding__image__idem_Oidem ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_folding__image__idem_Oidem-1, axiom, ( ( hAPP(hAPP(_u137, _u140), _u140) = _u140) | ~c_Finite__Set_Ofolding__image__idem(_u135, _u136, _u137, _u138, _u139) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_fun__left__comm__idem__insert ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_fun__left__comm__idem__insert-1, axiom, ( c_Finite__Set_Ofun__left__comm__idem(_u141, tc_fun(_u141, tc_HOL_Obool), c_Set_Oinsert(_u141)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_order__refl ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_order__refl-1, axiom, ( ~class_Orderings_Opreorder(_u142) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u142), _u143), _u143)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_equalityCE ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_equalityCE-1, axiom, ( ( _u144 != _u145) | hBOOL(hAPP(hAPP(c_member(_u146), _u147), _u144)) | ~hBOOL(hAPP(hAPP(c_member(_u146), _u147), _u145)) )).
% 19.49/19.67 cnf(fact_equalityCE-2, axiom, ( ( _u144 != _u145) | hBOOL(hAPP(hAPP(c_member(_u146), _u147), _u145)) | ~hBOOL(hAPP(hAPP(c_member(_u146), _u147), _u144)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_equalityI ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_equalityI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u148, tc_HOL_Obool)), _u149), _u150)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u148, tc_HOL_Obool)), _u150), _u149)) | ( _u149 = _u150) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_emptyE ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_emptyE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u151), _u152), c_Orderings_Obot__class_Obot(tc_fun(_u151, tc_HOL_Obool)))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_insertE ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_insertE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u153), _u154), hAPP(hAPP(c_Set_Oinsert(_u153), _u155), _u156))) | ( _u154 = _u155) | hBOOL(hAPP(hAPP(c_member(_u153), _u154), _u156)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_insertCI ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_insertCI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u157), _u158), hAPP(hAPP(c_Set_Oinsert(_u157), _u160), _u159))) | ~hBOOL(hAPP(hAPP(c_member(_u157), _u158), _u159)) )).
% 19.49/19.67 cnf(fact_insertCI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u157), _u158), hAPP(hAPP(c_Set_Oinsert(_u157), _u160), _u159))) | ( _u158 != _u160) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_subsetD ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_subsetD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u161, tc_HOL_Obool)), _u162), _u163)) | ~hBOOL(hAPP(hAPP(c_member(_u161), _u164), _u162)) | hBOOL(hAPP(hAPP(c_member(_u161), _u164), _u163)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_UnE ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_UnE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u165), _u166), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u165, tc_HOL_Obool)), _u167), _u168))) | hBOOL(hAPP(hAPP(c_member(_u165), _u166), _u167)) | hBOOL(hAPP(hAPP(c_member(_u165), _u166), _u168)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_UnCI ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_UnCI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u169), _u170), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u169, tc_HOL_Obool)), _u172), _u171))) | ~hBOOL(hAPP(hAPP(c_member(_u169), _u170), _u171)) )).
% 19.49/19.67 cnf(fact_UnCI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u169), _u170), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u169, tc_HOL_Obool)), _u172), _u171))) | ~hBOOL(hAPP(hAPP(c_member(_u169), _u170), _u172)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_empty__subsetI ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_empty__subsetI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u173, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u173, tc_HOL_Obool))), _u174)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_DiffI ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_DiffI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u175), _u176), _u177)) | hBOOL(hAPP(hAPP(c_member(_u175), _u176), _u178)) | hBOOL(hAPP(hAPP(c_member(_u175), _u176), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u175, tc_HOL_Obool)), _u177), _u178))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_DiffE ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_DiffE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u179), _u180), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u179, tc_HOL_Obool)), _u181), _u182))) | hBOOL(hAPP(hAPP(c_member(_u179), _u180), _u181)) )).
% 19.49/19.67 cnf(fact_DiffE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u179), _u180), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u179, tc_HOL_Obool)), _u181), _u182))) | ~hBOOL(hAPP(hAPP(c_member(_u179), _u180), _u182)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_fun__left__comm__idem__sup ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_fun__left__comm__idem__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u183) | c_Finite__Set_Ofun__left__comm__idem(_u183, _u183, c_Lattices_Osemilattice__sup__class_Osup(_u183)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_subset__refl ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_subset__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u184, tc_HOL_Obool)), _u185), _u185)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Un__upper1 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Un__upper1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u186, tc_HOL_Obool)), _u187), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u186, tc_HOL_Obool)), _u187), _u188))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Un__upper2 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Un__upper2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u189, tc_HOL_Obool)), _u190), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u189, tc_HOL_Obool)), _u191), _u190))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Un__absorb ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Un__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u192, tc_HOL_Obool)), _u193), _u193) = _u193) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Diff__subset ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u194, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u194, tc_HOL_Obool)), _u195), _u196)), _u195)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_le__fun__def ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_le__fun__def-1, axiom, ( ~class_Orderings_Oord(_u199) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u200, _u199)), _u201), _u202)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u199), hAPP(_u201, _u197)), hAPP(_u202, _u197))) )).
% 19.49/19.67 cnf(fact_le__fun__def-2, axiom, ( ~class_Orderings_Oord(_u199) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u199), hAPP(_u201, skolem2(_u202, _u201, _u200, _u199))), hAPP(_u202, skolem2(_u202, _u201, _u200, _u199)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u200, _u199)), _u201), _u202)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_mem__def ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_mem__def-1, axiom, ( hBOOL(hAPP(_u210, _u208)) | ~hBOOL(hAPP(hAPP(c_member(_u206), _u208), _u210)) )).
% 19.49/19.67 cnf(fact_mem__def-2, axiom, ( ~hBOOL(hAPP(_u211, _u209)) | hBOOL(hAPP(hAPP(c_member(_u207), _u209), _u211)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Un__commute ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Un__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u212, tc_HOL_Obool)), _u213), _u214) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u212, tc_HOL_Obool)), _u214), _u213)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_linorder__linear ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_linorder__linear-1, axiom, ( ~class_Orderings_Olinorder(_u215) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u215), _u216), _u217)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u215), _u217), _u216)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_subset__Un__eq ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_subset__Un__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u221, tc_HOL_Obool)), _u223), _u225)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u221, tc_HOL_Obool)), _u223), _u225) = _u225) )).
% 19.49/19.67 cnf(fact_subset__Un__eq-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u222, tc_HOL_Obool)), _u224), _u226) != _u226) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u222, tc_HOL_Obool)), _u224), _u226)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_set__eq__subset ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_set__eq__subset-1, axiom, ( ( _u230 != _u232) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u234, tc_HOL_Obool)), _u230), _u232)) )).
% 19.49/19.67 cnf(fact_set__eq__subset-2, axiom, ( ( _u230 != _u232) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u234, tc_HOL_Obool)), _u232), _u230)) )).
% 19.49/19.67 cnf(fact_set__eq__subset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u235, tc_HOL_Obool)), _u231), _u233)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u235, tc_HOL_Obool)), _u233), _u231)) | ( _u231 = _u233) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_order__eq__iff ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_order__eq__iff-1, axiom, ( ~class_Orderings_Oorder(_u236) | ( _u237 != _u238) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u236), _u237), _u238)) )).
% 19.49/19.67 cnf(fact_order__eq__iff-2, axiom, ( ~class_Orderings_Oorder(_u236) | ( _u237 != _u238) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u236), _u238), _u237)) )).
% 19.49/19.67 cnf(fact_order__eq__iff-3, axiom, ( ~class_Orderings_Oorder(_u236) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u236), _u237), _u238)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u236), _u238), _u237)) | ( _u237 = _u238) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Un__Diff__cancel ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Un__Diff__cancel-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u239, tc_HOL_Obool)), _u240), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u239, tc_HOL_Obool)), _u241), _u240)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u239, tc_HOL_Obool)), _u240), _u241)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Un__left__absorb ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Un__left__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u242, tc_HOL_Obool)), _u243), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u242, tc_HOL_Obool)), _u243), _u244)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u242, tc_HOL_Obool)), _u243), _u244)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Un__left__commute ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Un__left__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u245, tc_HOL_Obool)), _u246), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u245, tc_HOL_Obool)), _u247), _u248)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u245, tc_HOL_Obool)), _u247), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u245, tc_HOL_Obool)), _u246), _u248))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Diff__iff ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u253), _u255), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u253, tc_HOL_Obool)), _u257), _u259))) | hBOOL(hAPP(hAPP(c_member(_u253), _u255), _u257)) )).
% 19.49/19.67 cnf(fact_Diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u253), _u255), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u253, tc_HOL_Obool)), _u257), _u259))) | ~hBOOL(hAPP(hAPP(c_member(_u253), _u255), _u259)) )).
% 19.49/19.67 cnf(fact_Diff__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u254), _u256), _u258)) | hBOOL(hAPP(hAPP(c_member(_u254), _u256), _u260)) | hBOOL(hAPP(hAPP(c_member(_u254), _u256), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u254, tc_HOL_Obool)), _u258), _u260))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Un__iff ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Un__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u265), _u267), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u265, tc_HOL_Obool)), _u269), _u271))) | hBOOL(hAPP(hAPP(c_member(_u265), _u267), _u269)) | hBOOL(hAPP(hAPP(c_member(_u265), _u267), _u271)) )).
% 19.49/19.67 cnf(fact_Un__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u266), _u268), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u266, tc_HOL_Obool)), _u270), _u272))) | ~hBOOL(hAPP(hAPP(c_member(_u266), _u268), _u270)) )).
% 19.49/19.67 cnf(fact_Un__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u266), _u268), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u266, tc_HOL_Obool)), _u270), _u272))) | ~hBOOL(hAPP(hAPP(c_member(_u266), _u268), _u272)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Diff__idemp ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Diff__idemp-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u273, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u273, tc_HOL_Obool)), _u274), _u275)), _u275) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u273, tc_HOL_Obool)), _u274), _u275)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Un__Diff__cancel2 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Un__Diff__cancel2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u276, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u276, tc_HOL_Obool)), _u277), _u278)), _u278) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u276, tc_HOL_Obool)), _u277), _u278)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Diff__subset__conv ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Diff__subset__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u283, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u283, tc_HOL_Obool)), _u285), _u287)), _u289)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u283, tc_HOL_Obool)), _u285), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u283, tc_HOL_Obool)), _u287), _u289))) )).
% 19.49/19.67 cnf(fact_Diff__subset__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u284, tc_HOL_Obool)), _u286), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u284, tc_HOL_Obool)), _u288), _u290))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u284, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u284, tc_HOL_Obool)), _u286), _u288)), _u290)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Un__assoc ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Un__assoc-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u291, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u291, tc_HOL_Obool)), _u292), _u293)), _u294) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u291, tc_HOL_Obool)), _u292), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u291, tc_HOL_Obool)), _u293), _u294))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Un__Diff ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Un__Diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u295, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u295, tc_HOL_Obool)), _u296), _u297)), _u298) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u295, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u295, tc_HOL_Obool)), _u296), _u298)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u295, tc_HOL_Obool)), _u297), _u298))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_bex__Un ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_bex__Un-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u309), _u299), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u309, tc_HOL_Obool)), _u311), _u313))) | ~hBOOL(hAPP(_u315, _u299)) | hBOOL(hAPP(hAPP(c_member(_u309), skolem3(_u315, _u313, _u311, _u309)), _u311)) | hBOOL(hAPP(hAPP(c_member(_u309), skolem4(_u315, _u313, _u311, _u309)), _u313)) )).
% 19.49/19.67 cnf(fact_bex__Un-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u309), _u299), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u309, tc_HOL_Obool)), _u311), _u313))) | ~hBOOL(hAPP(_u315, _u299)) | hBOOL(hAPP(hAPP(c_member(_u309), skolem3(_u315, _u313, _u311, _u309)), _u311)) | hBOOL(hAPP(_u315, skolem4(_u315, _u313, _u311, _u309))) )).
% 19.49/19.67 cnf(fact_bex__Un-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u309), _u299), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u309, tc_HOL_Obool)), _u311), _u313))) | ~hBOOL(hAPP(_u315, _u299)) | hBOOL(hAPP(_u315, skolem3(_u315, _u313, _u311, _u309))) | hBOOL(hAPP(hAPP(c_member(_u309), skolem4(_u315, _u313, _u311, _u309)), _u313)) )).
% 19.49/19.67 cnf(fact_bex__Un-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u309), _u299), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u309, tc_HOL_Obool)), _u311), _u313))) | ~hBOOL(hAPP(_u315, _u299)) | hBOOL(hAPP(_u315, skolem3(_u315, _u313, _u311, _u309))) | hBOOL(hAPP(_u315, skolem4(_u315, _u313, _u311, _u309))) )).
% 19.49/19.67 cnf(fact_bex__Un-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u310), _u302), _u312)) | ~hBOOL(hAPP(_u316, _u302)) | hBOOL(hAPP(hAPP(c_member(_u310), skolem5(_u316, _u314, _u312, _u310)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u310, tc_HOL_Obool)), _u312), _u314))) )).
% 19.49/19.67 cnf(fact_bex__Un-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u310), _u302), _u312)) | ~hBOOL(hAPP(_u316, _u302)) | hBOOL(hAPP(_u316, skolem5(_u316, _u314, _u312, _u310))) )).
% 19.49/19.67 cnf(fact_bex__Un-7, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u310), _u303), _u314)) | ~hBOOL(hAPP(_u316, _u303)) | hBOOL(hAPP(hAPP(c_member(_u310), skolem5(_u316, _u314, _u312, _u310)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u310, tc_HOL_Obool)), _u312), _u314))) )).
% 19.49/19.67 cnf(fact_bex__Un-8, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u310), _u303), _u314)) | ~hBOOL(hAPP(_u316, _u303)) | hBOOL(hAPP(_u316, skolem5(_u316, _u314, _u312, _u310))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_ball__Un ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_ball__Un-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u327), skolem6(_u333, _u331, _u329, _u327)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u327, tc_HOL_Obool)), _u329), _u331))) | ~hBOOL(hAPP(hAPP(c_member(_u327), _u318), _u329)) | hBOOL(hAPP(_u333, _u318)) )).
% 19.49/19.67 cnf(fact_ball__Un-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u327), skolem6(_u333, _u331, _u329, _u327)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u327, tc_HOL_Obool)), _u329), _u331))) | ~hBOOL(hAPP(hAPP(c_member(_u327), _u319), _u331)) | hBOOL(hAPP(_u333, _u319)) )).
% 19.49/19.67 cnf(fact_ball__Un-3, axiom, ( ~hBOOL(hAPP(_u333, skolem6(_u333, _u331, _u329, _u327))) | ~hBOOL(hAPP(hAPP(c_member(_u327), _u318), _u329)) | hBOOL(hAPP(_u333, _u318)) )).
% 19.49/19.67 cnf(fact_ball__Un-4, axiom, ( ~hBOOL(hAPP(_u333, skolem6(_u333, _u331, _u329, _u327))) | ~hBOOL(hAPP(hAPP(c_member(_u327), _u319), _u331)) | hBOOL(hAPP(_u333, _u319)) )).
% 19.49/19.67 cnf(fact_ball__Un-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u328), _u322), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u328, tc_HOL_Obool)), _u330), _u332))) | hBOOL(hAPP(_u334, _u322)) | hBOOL(hAPP(hAPP(c_member(_u328), skolem7(_u334, _u332, _u330, _u328)), _u330)) | hBOOL(hAPP(hAPP(c_member(_u328), skolem8(_u334, _u332, _u330, _u328)), _u332)) )).
% 19.49/19.67 cnf(fact_ball__Un-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u328), _u322), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u328, tc_HOL_Obool)), _u330), _u332))) | hBOOL(hAPP(_u334, _u322)) | hBOOL(hAPP(hAPP(c_member(_u328), skolem7(_u334, _u332, _u330, _u328)), _u330)) | ~hBOOL(hAPP(_u334, skolem8(_u334, _u332, _u330, _u328))) )).
% 19.49/19.67 cnf(fact_ball__Un-7, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u328), _u322), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u328, tc_HOL_Obool)), _u330), _u332))) | hBOOL(hAPP(_u334, _u322)) | ~hBOOL(hAPP(_u334, skolem7(_u334, _u332, _u330, _u328))) | hBOOL(hAPP(hAPP(c_member(_u328), skolem8(_u334, _u332, _u330, _u328)), _u332)) )).
% 19.49/19.67 cnf(fact_ball__Un-8, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u328), _u322), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u328, tc_HOL_Obool)), _u330), _u332))) | hBOOL(hAPP(_u334, _u322)) | ~hBOOL(hAPP(_u334, skolem7(_u334, _u332, _u330, _u328))) | ~hBOOL(hAPP(_u334, skolem8(_u334, _u332, _u330, _u328))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_equalityD1 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_equalityD1-1, axiom, ( ( _u335 != _u336) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u337, tc_HOL_Obool)), _u335), _u336)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_equalityD2 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_equalityD2-1, axiom, ( ( _u338 != _u339) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u340, tc_HOL_Obool)), _u339), _u338)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_order__eq__refl ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_order__eq__refl-1, axiom, ( ~class_Orderings_Opreorder(_u341) | ( _u342 != _u343) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u341), _u342), _u343)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_UnI1 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_UnI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u344), _u345), _u346)) | hBOOL(hAPP(hAPP(c_member(_u344), _u345), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u344, tc_HOL_Obool)), _u346), _u347))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_UnI2 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_UnI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u348), _u349), _u350)) | hBOOL(hAPP(hAPP(c_member(_u348), _u349), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u348, tc_HOL_Obool)), _u351), _u350))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_le__funD ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_le__funD-1, axiom, ( ~class_Orderings_Oord(_u352) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u353, _u352)), _u354), _u355)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u352), hAPP(_u354, _u356)), hAPP(_u355, _u356))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Un__absorb1 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Un__absorb1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u357, tc_HOL_Obool)), _u358), _u359)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u357, tc_HOL_Obool)), _u358), _u359) = _u359) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Un__absorb2 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Un__absorb2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u360, tc_HOL_Obool)), _u361), _u362)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u360, tc_HOL_Obool)), _u362), _u361) = _u362) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_eqset__imp__iff ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_eqset__imp__iff-1, axiom, ( ( _u363 != _u364) | ~hBOOL(hAPP(hAPP(c_member(_u365), _u366), _u363)) | hBOOL(hAPP(hAPP(c_member(_u365), _u366), _u364)) )).
% 19.49/19.67 cnf(fact_eqset__imp__iff-2, axiom, ( ( _u363 != _u364) | ~hBOOL(hAPP(hAPP(c_member(_u365), _u366), _u364)) | hBOOL(hAPP(hAPP(c_member(_u365), _u366), _u363)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_eqelem__imp__iff ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_eqelem__imp__iff-1, axiom, ( ( _u367 != _u368) | ~hBOOL(hAPP(hAPP(c_member(_u369), _u367), _u370)) | hBOOL(hAPP(hAPP(c_member(_u369), _u368), _u370)) )).
% 19.49/19.67 cnf(fact_eqelem__imp__iff-2, axiom, ( ( _u367 != _u368) | ~hBOOL(hAPP(hAPP(c_member(_u369), _u368), _u370)) | hBOOL(hAPP(hAPP(c_member(_u369), _u367), _u370)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_in__mono ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_in__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u371, tc_HOL_Obool)), _u372), _u373)) | ~hBOOL(hAPP(hAPP(c_member(_u371), _u374), _u372)) | hBOOL(hAPP(hAPP(c_member(_u371), _u374), _u373)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_order__antisym__conv ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_order__antisym__conv-1, axiom, ( ~class_Orderings_Oorder(_u375) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u375), _u376), _u377)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u375), _u377), _u376)) | ( _u377 = _u376) )).
% 19.49/19.67 cnf(fact_order__antisym__conv-2, axiom, ( ~class_Orderings_Oorder(_u375) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u375), _u376), _u377)) | ( _u377 != _u376) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u375), _u377), _u376)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Diff__partition ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Diff__partition-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u378, tc_HOL_Obool)), _u379), _u380)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u378, tc_HOL_Obool)), _u379), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u378, tc_HOL_Obool)), _u380), _u379)) = _u380) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_eq__mem__trans ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_eq__mem__trans-1, axiom, ( ( _u381 != _u382) | ~hBOOL(hAPP(hAPP(c_member(_u383), _u382), _u384)) | hBOOL(hAPP(hAPP(c_member(_u383), _u381), _u384)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_ord__eq__le__trans ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_ord__eq__le__trans-1, axiom, ( ~class_Orderings_Oord(_u385) | ( _u386 != _u387) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u385), _u387), _u388)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u385), _u386), _u388)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_xt1_I3_J ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_xt1_I3_J-1, axiom, ( ~class_Orderings_Oorder(_u389) | ( _u390 != _u391) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u389), _u392), _u391)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u389), _u392), _u390)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_set__rev__mp ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_set__rev__mp-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u393), _u394), _u395)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u393, tc_HOL_Obool)), _u395), _u396)) | hBOOL(hAPP(hAPP(c_member(_u393), _u394), _u396)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_set__mp ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_set__mp-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u397, tc_HOL_Obool)), _u398), _u399)) | ~hBOOL(hAPP(hAPP(c_member(_u397), _u400), _u398)) | hBOOL(hAPP(hAPP(c_member(_u397), _u400), _u399)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_subset__trans ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_subset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u401, tc_HOL_Obool)), _u402), _u403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u401, tc_HOL_Obool)), _u403), _u404)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u401, tc_HOL_Obool)), _u402), _u404)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_ord__le__eq__trans ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_ord__le__eq__trans-1, axiom, ( ~class_Orderings_Oord(_u405) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u405), _u406), _u407)) | ( _u407 != _u408) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u405), _u406), _u408)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_xt1_I4_J ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_xt1_I4_J-1, axiom, ( ~class_Orderings_Oorder(_u409) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u409), _u410), _u411)) | ( _u410 != _u412) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u409), _u412), _u411)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_order__antisym ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_order__antisym-1, axiom, ( ~class_Orderings_Oorder(_u413) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u413), _u414), _u415)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u413), _u415), _u414)) | ( _u414 = _u415) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_order__trans ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_order__trans-1, axiom, ( ~class_Orderings_Opreorder(_u416) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u416), _u417), _u418)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u416), _u418), _u419)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u416), _u417), _u419)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_xt1_I5_J ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_xt1_I5_J-1, axiom, ( ~class_Orderings_Oorder(_u420) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u420), _u421), _u422)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u420), _u422), _u421)) | ( _u422 = _u421) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_xt1_I6_J ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_xt1_I6_J-1, axiom, ( ~class_Orderings_Oorder(_u423) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u423), _u424), _u425)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u423), _u426), _u424)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u423), _u426), _u425)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Un__least ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Un__least-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u427, tc_HOL_Obool)), _u428), _u429)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u427, tc_HOL_Obool)), _u430), _u429)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u427, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u427, tc_HOL_Obool)), _u428), _u430)), _u429)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Un__mono ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Un__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u431, tc_HOL_Obool)), _u432), _u433)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u431, tc_HOL_Obool)), _u434), _u435)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u431, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u431, tc_HOL_Obool)), _u432), _u434)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u431, tc_HOL_Obool)), _u433), _u435))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Diff__mono ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Diff__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u436, tc_HOL_Obool)), _u437), _u438)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u436, tc_HOL_Obool)), _u439), _u440)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u436, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u436, tc_HOL_Obool)), _u437), _u440)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u436, tc_HOL_Obool)), _u438), _u439))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_double__diff ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_double__diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u441, tc_HOL_Obool)), _u442), _u443)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u441, tc_HOL_Obool)), _u443), _u444)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u441, tc_HOL_Obool)), _u443), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u441, tc_HOL_Obool)), _u444), _u442)) = _u442) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_equalityE ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_equalityE-1, axiom, ( ( _u445 != _u446) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u447, tc_HOL_Obool)), _u445), _u446)) )).
% 19.49/19.67 cnf(fact_equalityE-2, axiom, ( ( _u445 != _u446) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u447, tc_HOL_Obool)), _u446), _u445)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_le__funE ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_le__funE-1, axiom, ( ~class_Orderings_Oord(_u448) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u449, _u448)), _u450), _u451)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u448), hAPP(_u450, _u452)), hAPP(_u451, _u452))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_DiffD1 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_DiffD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u453), _u454), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u453, tc_HOL_Obool)), _u455), _u456))) | hBOOL(hAPP(hAPP(c_member(_u453), _u454), _u455)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_DiffD2 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_DiffD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u457), _u458), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u457, tc_HOL_Obool)), _u459), _u460))) | ~hBOOL(hAPP(hAPP(c_member(_u457), _u458), _u460)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_linorder__le__cases ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_linorder__le__cases-1, axiom, ( ~class_Orderings_Olinorder(_u461) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u461), _u462), _u463)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u461), _u463), _u462)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_fun__left__comm__idem_Ofun__left__idem ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_fun__left__comm__idem_Ofun__left__idem-1, axiom, ( ( hAPP(hAPP(_u466, _u467), hAPP(hAPP(_u466, _u467), _u468)) = hAPP(hAPP(_u466, _u467), _u468)) | ~c_Finite__Set_Ofun__left__comm__idem(_u464, _u465, _u466) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_insert__Diff1 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_insert__Diff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u469), _u470), _u471)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u469, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u469), _u470), _u472)), _u471) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u469, tc_HOL_Obool)), _u472), _u471)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_insert__Diff__if ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_insert__Diff__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u477), _u479), _u481)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u477, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u477), _u479), _u483)), _u481) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u477, tc_HOL_Obool)), _u483), _u481)) )).
% 19.49/19.67 cnf(fact_insert__Diff__if-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u478), _u480), _u482)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u478, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u478), _u480), _u484)), _u482) = hAPP(hAPP(c_Set_Oinsert(_u478), _u480), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u478, tc_HOL_Obool)), _u484), _u482))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_subset__insert ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_subset__insert-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u485), _u486), _u487)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u485, tc_HOL_Obool)), _u487), hAPP(hAPP(c_Set_Oinsert(_u485), _u486), _u488))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u485, tc_HOL_Obool)), _u487), _u488)) )).
% 19.49/19.67 cnf(fact_subset__insert-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u485), _u486), _u487)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u485, tc_HOL_Obool)), _u487), _u488)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u485, tc_HOL_Obool)), _u487), hAPP(hAPP(c_Set_Oinsert(_u485), _u486), _u488))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_insert__subset ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_insert__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u493, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u493), _u495), _u497)), _u499)) | hBOOL(hAPP(hAPP(c_member(_u493), _u495), _u499)) )).
% 19.49/19.67 cnf(fact_insert__subset-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u493, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u493), _u495), _u497)), _u499)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u493, tc_HOL_Obool)), _u497), _u499)) )).
% 19.49/19.67 cnf(fact_insert__subset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u494), _u496), _u500)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u494, tc_HOL_Obool)), _u498), _u500)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u494, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u494), _u496), _u498)), _u500)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_subset__insert__iff ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_subset__insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u505, tc_HOL_Obool)), _u507), hAPP(hAPP(c_Set_Oinsert(_u505), _u509), _u511))) | ~hBOOL(hAPP(hAPP(c_member(_u505), _u509), _u507)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u505, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u505, tc_HOL_Obool)), _u507), hAPP(hAPP(c_Set_Oinsert(_u505), _u509), c_Orderings_Obot__class_Obot(tc_fun(_u505, tc_HOL_Obool))))), _u511)) )).
% 19.49/19.67 cnf(fact_subset__insert__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u505, tc_HOL_Obool)), _u507), hAPP(hAPP(c_Set_Oinsert(_u505), _u509), _u511))) | hBOOL(hAPP(hAPP(c_member(_u505), _u509), _u507)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u505, tc_HOL_Obool)), _u507), _u511)) )).
% 19.49/19.67 cnf(fact_subset__insert__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u506, tc_HOL_Obool)), _u508), hAPP(hAPP(c_Set_Oinsert(_u506), _u510), _u512))) | hBOOL(hAPP(hAPP(c_member(_u506), _u510), _u508)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u506, tc_HOL_Obool)), _u508), _u512)) )).
% 19.49/19.67 cnf(fact_subset__insert__iff-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u506, tc_HOL_Obool)), _u508), hAPP(hAPP(c_Set_Oinsert(_u506), _u510), _u512))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u506, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u506, tc_HOL_Obool)), _u508), hAPP(hAPP(c_Set_Oinsert(_u506), _u510), c_Orderings_Obot__class_Obot(tc_fun(_u506, tc_HOL_Obool))))), _u512)) | ~hBOOL(hAPP(hAPP(c_member(_u506), _u510), _u508)) )).
% 19.49/19.67 cnf(fact_subset__insert__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u506, tc_HOL_Obool)), _u508), hAPP(hAPP(c_Set_Oinsert(_u506), _u510), _u512))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u506, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u506, tc_HOL_Obool)), _u508), hAPP(hAPP(c_Set_Oinsert(_u506), _u510), c_Orderings_Obot__class_Obot(tc_fun(_u506, tc_HOL_Obool))))), _u512)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u506, tc_HOL_Obool)), _u508), _u512)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_diff__single__insert ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_diff__single__insert-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u513, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u513, tc_HOL_Obool)), _u514), hAPP(hAPP(c_Set_Oinsert(_u513), _u515), c_Orderings_Obot__class_Obot(tc_fun(_u513, tc_HOL_Obool))))), _u516)) | ~hBOOL(hAPP(hAPP(c_member(_u513), _u515), _u514)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u513, tc_HOL_Obool)), _u514), hAPP(hAPP(c_Set_Oinsert(_u513), _u515), _u516))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Diff__insert__absorb ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Diff__insert__absorb-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u517), _u518), _u519)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u517, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u517), _u518), _u519)), hAPP(hAPP(c_Set_Oinsert(_u517), _u518), c_Orderings_Obot__class_Obot(tc_fun(_u517, tc_HOL_Obool)))) = _u519) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_insert__Diff ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_insert__Diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u520), _u521), _u522)) | ( hAPP(hAPP(c_Set_Oinsert(_u520), _u521), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u520, tc_HOL_Obool)), _u522), hAPP(hAPP(c_Set_Oinsert(_u520), _u521), c_Orderings_Obot__class_Obot(tc_fun(_u520, tc_HOL_Obool))))) = _u522) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_empty__Diff ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_empty__Diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u523, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u523, tc_HOL_Obool))), _u524) = c_Orderings_Obot__class_Obot(tc_fun(_u523, tc_HOL_Obool))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Diff__empty ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Diff__empty-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u525, tc_HOL_Obool)), _u526), c_Orderings_Obot__class_Obot(tc_fun(_u525, tc_HOL_Obool))) = _u526) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Diff__cancel ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Diff__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u527, tc_HOL_Obool)), _u528), _u528) = c_Orderings_Obot__class_Obot(tc_fun(_u527, tc_HOL_Obool))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Un__empty__left ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Un__empty__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u529, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u529, tc_HOL_Obool))), _u530) = _u530) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Un__empty__right ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Un__empty__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u531, tc_HOL_Obool)), _u532), c_Orderings_Obot__class_Obot(tc_fun(_u531, tc_HOL_Obool))) = _u532) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Un__empty ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Un__empty-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u536, tc_HOL_Obool)), _u538), _u540) != c_Orderings_Obot__class_Obot(tc_fun(_u536, tc_HOL_Obool))) | ( _u538 = c_Orderings_Obot__class_Obot(tc_fun(_u536, tc_HOL_Obool))) )).
% 19.49/19.67 cnf(fact_Un__empty-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u536, tc_HOL_Obool)), _u538), _u540) != c_Orderings_Obot__class_Obot(tc_fun(_u536, tc_HOL_Obool))) | ( _u540 = c_Orderings_Obot__class_Obot(tc_fun(_u536, tc_HOL_Obool))) )).
% 19.49/19.67 cnf(fact_Un__empty-3, axiom, ( ( _u539 != c_Orderings_Obot__class_Obot(tc_fun(_u537, tc_HOL_Obool))) | ( _u541 != c_Orderings_Obot__class_Obot(tc_fun(_u537, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u537, tc_HOL_Obool)), _u539), _u541) = c_Orderings_Obot__class_Obot(tc_fun(_u537, tc_HOL_Obool))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Un__insert__right ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Un__insert__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u542, tc_HOL_Obool)), _u543), hAPP(hAPP(c_Set_Oinsert(_u542), _u544), _u545)) = hAPP(hAPP(c_Set_Oinsert(_u542), _u544), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u542, tc_HOL_Obool)), _u543), _u545))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Un__insert__left ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Un__insert__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u546, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u546), _u547), _u548)), _u549) = hAPP(hAPP(c_Set_Oinsert(_u546), _u547), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u546, tc_HOL_Obool)), _u548), _u549))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_bot__least ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_bot__least-1, axiom, ( ~class_Orderings_Obot(_u550) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u550), c_Orderings_Obot__class_Obot(_u550)), _u551)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_all__not__in__conv ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_all__not__in__conv-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u556), skolem9(_u558, _u556)), _u558)) | ( _u558 = c_Orderings_Obot__class_Obot(tc_fun(_u556, tc_HOL_Obool))) )).
% 19.49/19.67 cnf(fact_all__not__in__conv-2, axiom, ( ( _u559 != c_Orderings_Obot__class_Obot(tc_fun(_u557, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u557), _u553), _u559)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_ex__in__conv ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_ex__in__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u564), _u560), _u566)) | ( _u566 != c_Orderings_Obot__class_Obot(tc_fun(_u564, tc_HOL_Obool))) )).
% 19.49/19.67 cnf(fact_ex__in__conv-2, axiom, ( ( _u567 = c_Orderings_Obot__class_Obot(tc_fun(_u565, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u565), skolem10(_u567, _u565)), _u567)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_empty__iff ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_empty__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u568), _u569), c_Orderings_Obot__class_Obot(tc_fun(_u568, tc_HOL_Obool)))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_equals0D ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_equals0D-1, axiom, ( ( _u570 != c_Orderings_Obot__class_Obot(tc_fun(_u571, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u571), _u572), _u570)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_subset__empty ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_subset__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u575, tc_HOL_Obool)), _u577), c_Orderings_Obot__class_Obot(tc_fun(_u575, tc_HOL_Obool)))) | ( _u577 = c_Orderings_Obot__class_Obot(tc_fun(_u575, tc_HOL_Obool))) )).
% 19.49/19.67 cnf(fact_subset__empty-2, axiom, ( ( _u578 != c_Orderings_Obot__class_Obot(tc_fun(_u576, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u576, tc_HOL_Obool)), _u578), c_Orderings_Obot__class_Obot(tc_fun(_u576, tc_HOL_Obool)))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_insertI1 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_insertI1-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u579), _u580), hAPP(hAPP(c_Set_Oinsert(_u579), _u580), _u581))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_insert__iff ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u586), _u588), hAPP(hAPP(c_Set_Oinsert(_u586), _u590), _u592))) | ( _u588 = _u590) | hBOOL(hAPP(hAPP(c_member(_u586), _u588), _u592)) )).
% 19.49/19.67 cnf(fact_insert__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u587), _u589), hAPP(hAPP(c_Set_Oinsert(_u587), _u591), _u593))) | ( _u589 != _u591) )).
% 19.49/19.67 cnf(fact_insert__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u587), _u589), hAPP(hAPP(c_Set_Oinsert(_u587), _u591), _u593))) | ~hBOOL(hAPP(hAPP(c_member(_u587), _u589), _u593)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_insert__ident ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_insert__ident-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u594), _u595), _u596)) | hBOOL(hAPP(hAPP(c_member(_u594), _u595), _u597)) | ( hAPP(hAPP(c_Set_Oinsert(_u594), _u595), _u596) != hAPP(hAPP(c_Set_Oinsert(_u594), _u595), _u597)) | ( _u596 = _u597) )).
% 19.49/19.67 cnf(fact_insert__ident-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u594), _u595), _u596)) | hBOOL(hAPP(hAPP(c_member(_u594), _u595), _u597)) | ( _u596 != _u597) | ( hAPP(hAPP(c_Set_Oinsert(_u594), _u595), _u596) = hAPP(hAPP(c_Set_Oinsert(_u594), _u595), _u597)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_insertI2 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_insertI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u598), _u599), _u600)) | hBOOL(hAPP(hAPP(c_member(_u598), _u599), hAPP(hAPP(c_Set_Oinsert(_u598), _u601), _u600))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_insert__absorb ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_insert__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u602), _u603), _u604)) | ( hAPP(hAPP(c_Set_Oinsert(_u602), _u603), _u604) = _u604) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_subset__insertI ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_subset__insertI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u605, tc_HOL_Obool)), _u606), hAPP(hAPP(c_Set_Oinsert(_u605), _u607), _u606))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_subset__insertI2 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_subset__insertI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u608, tc_HOL_Obool)), _u609), _u610)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u608, tc_HOL_Obool)), _u609), hAPP(hAPP(c_Set_Oinsert(_u608), _u611), _u610))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_insert__mono ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_insert__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u612, tc_HOL_Obool)), _u613), _u614)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u612, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u612), _u615), _u613)), hAPP(hAPP(c_Set_Oinsert(_u612), _u615), _u614))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_asm ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_asm-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u616), tc_HOL_Obool)), _u617), _u618)) | c_Hoare__Mirabelle_Ohoare__derivs(_u616, _u618, _u617) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_weaken ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_weaken-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u619, _u620, _u621) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u619), tc_HOL_Obool)), _u622), _u621)) | c_Hoare__Mirabelle_Ohoare__derivs(_u619, _u620, _u622) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_thin ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_thin-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u623, _u624, _u625) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u623), tc_HOL_Obool)), _u624), _u626)) | c_Hoare__Mirabelle_Ohoare__derivs(_u623, _u626, _u625) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_sup1CI ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_sup1CI-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u630, tc_HOL_Obool)), _u629), _u627), _u628)) | ~hBOOL(hAPP(_u627, _u628)) )).
% 19.49/19.67 cnf(fact_sup1CI-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u630, tc_HOL_Obool)), _u629), _u627), _u628)) | ~hBOOL(hAPP(_u629, _u628)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_sup1E ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_sup1E-1, axiom, ( hBOOL(hAPP(_u632, _u634)) | hBOOL(hAPP(_u633, _u634)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u631, tc_HOL_Obool)), _u632), _u633), _u634)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_minus__apply ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_minus__apply-1, axiom, ( ~class_Groups_Ominus(_u635) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u636, _u635)), _u637), _u638), _u639) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u635), hAPP(_u637, _u639)), hAPP(_u638, _u639))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_sup__apply ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_sup__apply-1, axiom, ( ~class_Lattices_Olattice(_u640) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u641, _u640)), _u642), _u643), _u644) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u640), hAPP(_u642, _u644)), hAPP(_u643, _u644))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_sup__bot__left ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_sup__bot__left-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u645) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u645), c_Orderings_Obot__class_Obot(_u645)), _u646) = _u646) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_sup__bot__right ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_sup__bot__right-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u647) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u647), _u648), c_Orderings_Obot__class_Obot(_u647)) = _u648) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_sup__eq__bot__iff ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_sup__eq__bot__iff-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u649) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u649), _u650), _u651) != c_Orderings_Obot__class_Obot(_u649)) | ( _u650 = c_Orderings_Obot__class_Obot(_u649)) )).
% 19.49/19.67 cnf(fact_sup__eq__bot__iff-2, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u649) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u649), _u650), _u651) != c_Orderings_Obot__class_Obot(_u649)) | ( _u651 = c_Orderings_Obot__class_Obot(_u649)) )).
% 19.49/19.67 cnf(fact_sup__eq__bot__iff-3, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u649) | ( _u650 != c_Orderings_Obot__class_Obot(_u649)) | ( _u651 != c_Orderings_Obot__class_Obot(_u649)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u649), _u650), _u651) = c_Orderings_Obot__class_Obot(_u649)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_le__supE ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_le__supE-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u652) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u652), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u652), _u653), _u654)), _u655)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u652), _u653), _u655)) )).
% 19.49/19.67 cnf(fact_le__supE-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u652) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u652), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u652), _u653), _u654)), _u655)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u652), _u654), _u655)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_sup__mono ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_sup__mono-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u656) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u656), _u657), _u658)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u656), _u659), _u660)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u656), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u656), _u657), _u659)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u656), _u658), _u660))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_sup__least ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_sup__least-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u661), _u662), _u663)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u661), _u664), _u663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u661), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u661), _u662), _u664)), _u663)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_le__supI ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_le__supI-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u665) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u665), _u666), _u667)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u665), _u668), _u667)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u665), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u665), _u666), _u668)), _u667)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_sup__absorb1 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_sup__absorb1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u669) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u669), _u670), _u671)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u669), _u671), _u670) = _u671) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_eq__mem ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_eq__mem-1, axiom, ( ( _u677 = _u679) | ~hBOOL(hAPP(hAPP(c_member(_u675), _u677), hAPP(c_fequal, _u679))) )).
% 19.49/19.67 cnf(fact_eq__mem-2, axiom, ( ( _u678 != _u680) | hBOOL(hAPP(hAPP(c_member(_u676), _u678), hAPP(c_fequal, _u680))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_sup_Oidem ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_sup_Oidem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u681) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u681), _u682), _u682) = _u682) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_sup__idem ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_sup__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u683) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u683), _u684), _u684) = _u684) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_sup_Ocommute ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_sup_Ocommute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u685) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u685), _u686), _u687) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u685), _u687), _u686)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf__sup__aci_I5_J ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf__sup__aci_I5_J-1, axiom, ( ~class_Lattices_Olattice(_u688) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u688), _u689), _u690) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u688), _u690), _u689)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_sup__commute ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_sup__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u691) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u691), _u692), _u693) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u691), _u693), _u692)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_sup_Oleft__idem ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_sup_Oleft__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u694) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u694), _u695), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u694), _u695), _u696)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u694), _u695), _u696)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf__sup__aci_I8_J ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf__sup__aci_I8_J-1, axiom, ( ~class_Lattices_Olattice(_u697) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u697), _u698), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u697), _u698), _u699)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u697), _u698), _u699)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_sup__left__idem ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_sup__left__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u700) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u700), _u701), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u700), _u701), _u702)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u700), _u701), _u702)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_sup_Oleft__commute ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_sup_Oleft__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u703) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u703), _u704), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u703), _u705), _u706)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u703), _u705), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u703), _u704), _u706))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf__sup__aci_I7_J ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf__sup__aci_I7_J-1, axiom, ( ~class_Lattices_Olattice(_u707) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u707), _u708), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u707), _u709), _u710)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u707), _u709), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u707), _u708), _u710))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_sup__left__commute ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_sup__left__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u711) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u711), _u712), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u711), _u713), _u714)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u711), _u713), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u711), _u712), _u714))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_sup_Oassoc ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_sup_Oassoc-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u715) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u715), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u715), _u716), _u717)), _u718) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u715), _u716), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u715), _u717), _u718))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf__sup__aci_I6_J ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf__sup__aci_I6_J-1, axiom, ( ~class_Lattices_Olattice(_u719) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u719), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u719), _u720), _u721)), _u722) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u719), _u720), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u719), _u721), _u722))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_sup__assoc ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_sup__assoc-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u723) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u723), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u723), _u724), _u725)), _u726) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u723), _u724), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u723), _u725), _u726))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_rev__predicate1D ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_rev__predicate1D-1, axiom, ( ~hBOOL(hAPP(_u727, _u728)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u729, tc_HOL_Obool)), _u727), _u730)) | hBOOL(hAPP(_u730, _u728)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_predicate1D ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_predicate1D-1, axiom, ( ~hBOOL(hAPP(_u732, _u734)) | hBOOL(hAPP(_u733, _u734)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u731, tc_HOL_Obool)), _u732), _u733)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_sup1I1 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_sup1I1-1, axiom, ( ~hBOOL(hAPP(_u735, _u736)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u737, tc_HOL_Obool)), _u735), _u738), _u736)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_sup1I2 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_sup1I2-1, axiom, ( ~hBOOL(hAPP(_u739, _u740)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u741, tc_HOL_Obool)), _u742), _u739), _u740)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf__sup__ord_I3_J ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf__sup__ord_I3_J-1, axiom, ( ~class_Lattices_Olattice(_u743) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u743), _u744), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u743), _u744), _u745))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_sup__ge1 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_sup__ge1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u746) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u746), _u747), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u746), _u747), _u748))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf__sup__ord_I4_J ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf__sup__ord_I4_J-1, axiom, ( ~class_Lattices_Olattice(_u749) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u749), _u750), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u749), _u751), _u750))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_sup__ge2 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_sup__ge2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u752) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u752), _u753), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u752), _u754), _u753))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_le__iff__sup ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_le__iff__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u755) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u755), _u756), _u757)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u755), _u756), _u757) = _u757) )).
% 19.49/19.67 cnf(fact_le__iff__sup-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u755) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u755), _u756), _u757) != _u757) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u755), _u756), _u757)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_le__sup__iff ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_le__sup__iff-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u758) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u758), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u758), _u759), _u760)), _u761)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u758), _u759), _u761)) )).
% 19.49/19.67 cnf(fact_le__sup__iff-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u758) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u758), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u758), _u759), _u760)), _u761)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u758), _u760), _u761)) )).
% 19.49/19.67 cnf(fact_le__sup__iff-3, axiom, ( ~class_Lattices_Osemilattice__sup(_u758) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u758), _u759), _u761)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u758), _u760), _u761)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u758), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u758), _u759), _u760)), _u761)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_le__supI1 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_le__supI1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u762) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u762), _u763), _u764)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u762), _u763), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u762), _u764), _u765))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_le__supI2 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_le__supI2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u766) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u766), _u767), _u768)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u766), _u767), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u766), _u769), _u768))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_sup__absorb2 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_sup__absorb2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u770) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u770), _u771), _u772)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u770), _u771), _u772) = _u772) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_diff__eq__diff__less__eq ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_diff__eq__diff__less__eq-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u773) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u773), _u774), _u775) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u773), _u776), _u777)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u773), _u774), _u775)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u773), _u776), _u777)) )).
% 19.49/19.67 cnf(fact_diff__eq__diff__less__eq-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u773) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u773), _u774), _u775) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u773), _u776), _u777)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u773), _u776), _u777)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u773), _u774), _u775)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_folding__one_Oremove ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_folding__one_Oremove-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u778, _u779, _u780) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u778), _u781)) | ~hBOOL(hAPP(hAPP(c_member(_u778), _u782), _u781)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u778, tc_HOL_Obool)), _u781), hAPP(hAPP(c_Set_Oinsert(_u778), _u782), c_Orderings_Obot__class_Obot(tc_fun(_u778, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u778, tc_HOL_Obool))) | ( hAPP(_u780, _u781) = _u782) )).
% 19.49/19.67 cnf(fact_folding__one_Oremove-2, axiom, ( ~c_Finite__Set_Ofolding__one(_u778, _u779, _u780) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u778), _u781)) | ~hBOOL(hAPP(hAPP(c_member(_u778), _u782), _u781)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u778, tc_HOL_Obool)), _u781), hAPP(hAPP(c_Set_Oinsert(_u778), _u782), c_Orderings_Obot__class_Obot(tc_fun(_u778, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u778, tc_HOL_Obool))) | ( hAPP(_u780, _u781) = hAPP(hAPP(_u779, _u782), hAPP(_u780, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u778, tc_HOL_Obool)), _u781), hAPP(hAPP(c_Set_Oinsert(_u778), _u782), c_Orderings_Obot__class_Obot(tc_fun(_u778, tc_HOL_Obool))))))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_folding__image__simple_Oremove ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_folding__image__simple_Oremove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u784), _u789)) | ~hBOOL(hAPP(hAPP(c_member(_u784), _u790), _u789)) | ( hAPP(_u788, _u789) = hAPP(hAPP(_u785, hAPP(_u787, _u790)), hAPP(_u788, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u784, tc_HOL_Obool)), _u789), hAPP(hAPP(c_Set_Oinsert(_u784), _u790), c_Orderings_Obot__class_Obot(tc_fun(_u784, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u783, _u784, _u785, _u786, _u787, _u788) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_fold1Set_Ointros ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_fold1Set_Ointros-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u791, _u791, _u792, _u793, _u794), _u795)) | hBOOL(hAPP(hAPP(c_member(_u791), _u793), _u794)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u791, _u792, hAPP(hAPP(c_Set_Oinsert(_u791), _u793), _u794)), _u795)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_psubset__insert__iff ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_psubset__insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u800, tc_HOL_Obool)), _u802), hAPP(hAPP(c_Set_Oinsert(_u800), _u804), _u806))) | ~hBOOL(hAPP(hAPP(c_member(_u800), _u804), _u806)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u800, tc_HOL_Obool)), _u802), _u806)) )).
% 19.49/19.67 cnf(fact_psubset__insert__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u800, tc_HOL_Obool)), _u802), hAPP(hAPP(c_Set_Oinsert(_u800), _u804), _u806))) | hBOOL(hAPP(hAPP(c_member(_u800), _u804), _u806)) | ~hBOOL(hAPP(hAPP(c_member(_u800), _u804), _u802)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u800, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u800, tc_HOL_Obool)), _u802), hAPP(hAPP(c_Set_Oinsert(_u800), _u804), c_Orderings_Obot__class_Obot(tc_fun(_u800, tc_HOL_Obool))))), _u806)) )).
% 19.49/19.67 cnf(fact_psubset__insert__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u800, tc_HOL_Obool)), _u802), hAPP(hAPP(c_Set_Oinsert(_u800), _u804), _u806))) | hBOOL(hAPP(hAPP(c_member(_u800), _u804), _u806)) | hBOOL(hAPP(hAPP(c_member(_u800), _u804), _u802)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u800, tc_HOL_Obool)), _u802), _u806)) )).
% 19.49/19.67 cnf(fact_psubset__insert__iff-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u801, tc_HOL_Obool)), _u803), hAPP(hAPP(c_Set_Oinsert(_u801), _u805), _u807))) | hBOOL(hAPP(hAPP(c_member(_u801), _u805), _u807)) | hBOOL(hAPP(hAPP(c_member(_u801), _u805), _u803)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u801, tc_HOL_Obool)), _u803), _u807)) )).
% 19.49/19.67 cnf(fact_psubset__insert__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u801, tc_HOL_Obool)), _u803), hAPP(hAPP(c_Set_Oinsert(_u801), _u805), _u807))) | hBOOL(hAPP(hAPP(c_member(_u801), _u805), _u807)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u801, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u801, tc_HOL_Obool)), _u803), hAPP(hAPP(c_Set_Oinsert(_u801), _u805), c_Orderings_Obot__class_Obot(tc_fun(_u801, tc_HOL_Obool))))), _u807)) | ~hBOOL(hAPP(hAPP(c_member(_u801), _u805), _u803)) )).
% 19.49/19.67 cnf(fact_psubset__insert__iff-6, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u801, tc_HOL_Obool)), _u803), hAPP(hAPP(c_Set_Oinsert(_u801), _u805), _u807))) | hBOOL(hAPP(hAPP(c_member(_u801), _u805), _u807)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u801, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u801, tc_HOL_Obool)), _u803), hAPP(hAPP(c_Set_Oinsert(_u801), _u805), c_Orderings_Obot__class_Obot(tc_fun(_u801, tc_HOL_Obool))))), _u807)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u801, tc_HOL_Obool)), _u803), _u807)) )).
% 19.49/19.67 cnf(fact_psubset__insert__iff-7, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u801, tc_HOL_Obool)), _u803), hAPP(hAPP(c_Set_Oinsert(_u801), _u805), _u807))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u801, tc_HOL_Obool)), _u803), _u807)) | ~hBOOL(hAPP(hAPP(c_member(_u801), _u805), _u807)) )).
% 19.49/19.67 cnf(fact_psubset__insert__iff-8, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u801, tc_HOL_Obool)), _u803), hAPP(hAPP(c_Set_Oinsert(_u801), _u805), _u807))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u801, tc_HOL_Obool)), _u803), _u807)) | hBOOL(hAPP(hAPP(c_member(_u801), _u805), _u803)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u801, tc_HOL_Obool)), _u803), _u807)) )).
% 19.49/19.67 cnf(fact_psubset__insert__iff-9, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u801, tc_HOL_Obool)), _u803), hAPP(hAPP(c_Set_Oinsert(_u801), _u805), _u807))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u801, tc_HOL_Obool)), _u803), _u807)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u801, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u801, tc_HOL_Obool)), _u803), hAPP(hAPP(c_Set_Oinsert(_u801), _u805), c_Orderings_Obot__class_Obot(tc_fun(_u801, tc_HOL_Obool))))), _u807)) | ~hBOOL(hAPP(hAPP(c_member(_u801), _u805), _u803)) )).
% 19.49/19.67 cnf(fact_psubset__insert__iff-10, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u801, tc_HOL_Obool)), _u803), hAPP(hAPP(c_Set_Oinsert(_u801), _u805), _u807))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u801, tc_HOL_Obool)), _u803), _u807)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u801, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u801, tc_HOL_Obool)), _u803), hAPP(hAPP(c_Set_Oinsert(_u801), _u805), c_Orderings_Obot__class_Obot(tc_fun(_u801, tc_HOL_Obool))))), _u807)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u801, tc_HOL_Obool)), _u803), _u807)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_fold__graph_H_Ointros_I2_J ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_fold__graph_H_Ointros_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u808), _u809), _u810)) | ~c_Nitpick_Ofold__graph_H(_u808, _u811, _u812, _u813, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u808, tc_HOL_Obool)), _u810), hAPP(hAPP(c_Set_Oinsert(_u808), _u809), c_Orderings_Obot__class_Obot(tc_fun(_u808, tc_HOL_Obool)))), _u814) | c_Nitpick_Ofold__graph_H(_u808, _u811, _u812, _u813, _u810, hAPP(hAPP(_u812, _u809), _u814)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Diff1__fold__graph ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Diff1__fold__graph-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u815, _u816, _u817, _u818, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u815, tc_HOL_Obool)), _u819), hAPP(hAPP(c_Set_Oinsert(_u815), _u820), c_Orderings_Obot__class_Obot(tc_fun(_u815, tc_HOL_Obool))))), _u821)) | ~hBOOL(hAPP(hAPP(c_member(_u815), _u820), _u819)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u815, _u816, _u817, _u818, _u819), hAPP(hAPP(_u817, _u820), _u821))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_folding__one_Oinsert__remove ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_folding__one_Oinsert__remove-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u822, _u823, _u824) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u822), _u825)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u822, tc_HOL_Obool)), _u825), hAPP(hAPP(c_Set_Oinsert(_u822), _u826), c_Orderings_Obot__class_Obot(tc_fun(_u822, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u822, tc_HOL_Obool))) | ( hAPP(_u824, hAPP(hAPP(c_Set_Oinsert(_u822), _u826), _u825)) = _u826) )).
% 19.49/19.67 cnf(fact_folding__one_Oinsert__remove-2, axiom, ( ~c_Finite__Set_Ofolding__one(_u822, _u823, _u824) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u822), _u825)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u822, tc_HOL_Obool)), _u825), hAPP(hAPP(c_Set_Oinsert(_u822), _u826), c_Orderings_Obot__class_Obot(tc_fun(_u822, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u822, tc_HOL_Obool))) | ( hAPP(_u824, hAPP(hAPP(c_Set_Oinsert(_u822), _u826), _u825)) = hAPP(hAPP(_u823, _u826), hAPP(_u824, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u822, tc_HOL_Obool)), _u825), hAPP(hAPP(c_Set_Oinsert(_u822), _u826), c_Orderings_Obot__class_Obot(tc_fun(_u822, tc_HOL_Obool))))))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_folding__image__simple_Oinsert__remove ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_folding__image__simple_Oinsert__remove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u828), _u833)) | ( hAPP(_u832, hAPP(hAPP(c_Set_Oinsert(_u828), _u834), _u833)) = hAPP(hAPP(_u829, hAPP(_u831, _u834)), hAPP(_u832, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u828, tc_HOL_Obool)), _u833), hAPP(hAPP(c_Set_Oinsert(_u828), _u834), c_Orderings_Obot__class_Obot(tc_fun(_u828, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u827, _u828, _u829, _u830, _u831, _u832) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_folding__one_Oinsert ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_folding__one_Oinsert-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u835, _u836, _u837) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u835), _u838)) | hBOOL(hAPP(hAPP(c_member(_u835), _u839), _u838)) | ( _u838 = c_Orderings_Obot__class_Obot(tc_fun(_u835, tc_HOL_Obool))) | ( hAPP(_u837, hAPP(hAPP(c_Set_Oinsert(_u835), _u839), _u838)) = hAPP(hAPP(_u836, _u839), hAPP(_u837, _u838))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_nonempty__iff ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_nonempty__iff-1, axiom, ( ( _u846 = c_Orderings_Obot__class_Obot(tc_fun(_u848, tc_HOL_Obool))) | ( _u846 = hAPP(hAPP(c_Set_Oinsert(_u848), skolem11(_u848, _u846)), skolem12(_u848, _u846))) )).
% 19.49/19.67 cnf(fact_nonempty__iff-2, axiom, ( ( _u846 = c_Orderings_Obot__class_Obot(tc_fun(_u848, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u848), skolem11(_u848, _u846)), skolem12(_u848, _u846))) )).
% 19.49/19.67 cnf(fact_nonempty__iff-3, axiom, ( ( _u847 != hAPP(hAPP(c_Set_Oinsert(_u849), _u843), _u842)) | hBOOL(hAPP(hAPP(c_member(_u849), _u843), _u842)) | ( _u847 != c_Orderings_Obot__class_Obot(tc_fun(_u849, tc_HOL_Obool))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_finite_OemptyI ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_finite_OemptyI-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u850), c_Orderings_Obot__class_Obot(tc_fun(_u850, tc_HOL_Obool)))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_finite_OinsertI ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_finite_OinsertI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u851), _u852)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u851), hAPP(hAPP(c_Set_Oinsert(_u851), _u853), _u852))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_finite__Diff ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_finite__Diff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u854), _u855)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u854), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u854, tc_HOL_Obool)), _u855), _u856))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_finite ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_finite-1, axiom, ( ~class_Finite__Set_Ofinite(_u857) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u857), _u858)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_order__less__irrefl ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_order__less__irrefl-1, axiom, ( ~class_Orderings_Opreorder(_u859) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u859), _u860), _u860)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_finite__code ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_finite__code-1, axiom, ( ~class_Finite__Set_Ofinite(_u861) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u861), _u862)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_linorder__neq__iff ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_linorder__neq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u863) | ( _u864 = _u865) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u863), _u864), _u865)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u863), _u865), _u864)) )).
% 19.49/19.67 cnf(fact_linorder__neq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u863) | ( _u864 != _u865) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u863), _u864), _u865)) )).
% 19.49/19.67 cnf(fact_linorder__neq__iff-3, axiom, ( ~class_Orderings_Olinorder(_u863) | ( _u864 != _u865) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u863), _u865), _u864)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_not__less__iff__gr__or__eq ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_not__less__iff__gr__or__eq-1, axiom, ( ~class_Orderings_Olinorder(_u866) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u866), _u867), _u868)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u866), _u868), _u867)) | ( _u867 = _u868) )).
% 19.49/19.67 cnf(fact_not__less__iff__gr__or__eq-2, axiom, ( ~class_Orderings_Olinorder(_u866) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u866), _u867), _u868)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u866), _u868), _u867)) )).
% 19.49/19.67 cnf(fact_not__less__iff__gr__or__eq-3, axiom, ( ~class_Orderings_Olinorder(_u866) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u866), _u867), _u868)) | ( _u867 != _u868) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_linorder__less__linear ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_linorder__less__linear-1, axiom, ( ~class_Orderings_Olinorder(_u869) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u869), _u870), _u871)) | ( _u870 = _u871) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u869), _u871), _u870)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_linorder__antisym__conv3 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_linorder__antisym__conv3-1, axiom, ( ~class_Orderings_Olinorder(_u872) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u872), _u873), _u874)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u872), _u874), _u873)) | ( _u874 = _u873) )).
% 19.49/19.67 cnf(fact_linorder__antisym__conv3-2, axiom, ( ~class_Orderings_Olinorder(_u872) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u872), _u873), _u874)) | ( _u874 != _u873) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u872), _u874), _u873)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_linorder__neqE ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_linorder__neqE-1, axiom, ( ~class_Orderings_Olinorder(_u875) | ( _u876 = _u877) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u875), _u876), _u877)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u875), _u877), _u876)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_less__imp__neq ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_less__imp__neq-1, axiom, ( ~class_Orderings_Oorder(_u878) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u878), _u879), _u880)) | ( _u879 != _u880) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_order__less__not__sym ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_order__less__not__sym-1, axiom, ( ~class_Orderings_Opreorder(_u881) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u881), _u882), _u883)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u881), _u883), _u882)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_order__less__imp__not__less ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_order__less__imp__not__less-1, axiom, ( ~class_Orderings_Opreorder(_u884) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u884), _u885), _u886)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u884), _u886), _u885)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_order__less__imp__not__eq ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_order__less__imp__not__eq-1, axiom, ( ~class_Orderings_Oorder(_u887) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u887), _u888), _u889)) | ( _u888 != _u889) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_order__less__imp__not__eq2 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_order__less__imp__not__eq2-1, axiom, ( ~class_Orderings_Oorder(_u890) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u890), _u891), _u892)) | ( _u892 != _u891) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_order__less__asym_H ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_order__less__asym_H-1, axiom, ( ~class_Orderings_Opreorder(_u893) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u893), _u894), _u895)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u893), _u895), _u894)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_xt1_I9_J ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_xt1_I9_J-1, axiom, ( ~class_Orderings_Oorder(_u896) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u896), _u897), _u898)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u896), _u898), _u897)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_ord__eq__less__trans ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_ord__eq__less__trans-1, axiom, ( ~class_Orderings_Oord(_u899) | ( _u900 != _u901) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u899), _u901), _u902)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u899), _u900), _u902)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_xt1_I1_J ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_xt1_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u903) | ( _u904 != _u905) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u903), _u906), _u905)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u903), _u906), _u904)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_psubset__trans ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_psubset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u907, tc_HOL_Obool)), _u908), _u909)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u907, tc_HOL_Obool)), _u909), _u910)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u907, tc_HOL_Obool)), _u908), _u910)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_ord__less__eq__trans ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_ord__less__eq__trans-1, axiom, ( ~class_Orderings_Oord(_u911) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u911), _u912), _u913)) | ( _u913 != _u914) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u911), _u912), _u914)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_xt1_I2_J ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_xt1_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u915) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u915), _u916), _u917)) | ( _u916 != _u918) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u915), _u918), _u917)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_order__less__trans ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_order__less__trans-1, axiom, ( ~class_Orderings_Opreorder(_u919) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u919), _u920), _u921)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u919), _u921), _u922)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u919), _u920), _u922)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_xt1_I10_J ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_xt1_I10_J-1, axiom, ( ~class_Orderings_Oorder(_u923) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u923), _u924), _u925)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u923), _u926), _u924)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u923), _u926), _u925)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_order__less__asym ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_order__less__asym-1, axiom, ( ~class_Orderings_Opreorder(_u927) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u927), _u928), _u929)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u927), _u929), _u928)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_fold__graph__imp__finite ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_fold__graph__imp__finite-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u930, _u931, _u932, _u933, _u934), _u935)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u930), _u934)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_linorder__cases ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_linorder__cases-1, axiom, ( ~class_Orderings_Olinorder(_u936) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u936), _u937), _u938)) | ( _u937 = _u938) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u936), _u938), _u937)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_diff__eq__diff__less ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_diff__eq__diff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u939) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u939), _u940), _u941) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u939), _u942), _u943)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u939), _u940), _u941)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u939), _u942), _u943)) )).
% 19.49/19.67 cnf(fact_diff__eq__diff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u939) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u939), _u940), _u941) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u939), _u942), _u943)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u939), _u942), _u943)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u939), _u940), _u941)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_fold__graph_H_Oequations_I1_J ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_fold__graph_H_Oequations_I1_J-1, axiom, ( c_Nitpick_Ofold__graph_H(_u944, _u945, _u946, _u947, c_Orderings_Obot__class_Obot(tc_fun(_u944, tc_HOL_Obool)), _u947) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_fold__graph_H_Ointros_I1_J ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_fold__graph_H_Ointros_I1_J-1, axiom, ( c_Nitpick_Ofold__graph_H(_u948, _u949, _u950, _u951, c_Orderings_Obot__class_Obot(tc_fun(_u948, tc_HOL_Obool)), _u951) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_less__fun__def ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_less__fun__def-1, axiom, ( ~class_Orderings_Oord(_u952) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u953, _u952)), _u954), _u955)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u953, _u952)), _u954), _u955)) )).
% 19.49/19.67 cnf(fact_less__fun__def-2, axiom, ( ~class_Orderings_Oord(_u952) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u953, _u952)), _u954), _u955)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u953, _u952)), _u955), _u954)) )).
% 19.49/19.67 cnf(fact_less__fun__def-3, axiom, ( ~class_Orderings_Oord(_u952) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u953, _u952)), _u954), _u955)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u953, _u952)), _u955), _u954)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u953, _u952)), _u954), _u955)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_linorder__not__less ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_linorder__not__less-1, axiom, ( ~class_Orderings_Olinorder(_u956) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u956), _u957), _u958)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u956), _u958), _u957)) )).
% 19.49/19.67 cnf(fact_linorder__not__less-2, axiom, ( ~class_Orderings_Olinorder(_u956) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u956), _u958), _u957)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u956), _u957), _u958)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_linorder__not__le ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_linorder__not__le-1, axiom, ( ~class_Orderings_Olinorder(_u959) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u959), _u960), _u961)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u959), _u961), _u960)) )).
% 19.49/19.67 cnf(fact_linorder__not__le-2, axiom, ( ~class_Orderings_Olinorder(_u959) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u959), _u961), _u960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u959), _u960), _u961)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_linorder__le__less__linear ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_linorder__le__less__linear-1, axiom, ( ~class_Orderings_Olinorder(_u962) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u962), _u963), _u964)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u962), _u964), _u963)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_order__less__le ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_order__less__le-1, axiom, ( ~class_Orderings_Oorder(_u965) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u965), _u966), _u967)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u965), _u966), _u967)) )).
% 19.49/19.67 cnf(fact_order__less__le-2, axiom, ( ~class_Orderings_Oorder(_u965) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u965), _u966), _u967)) | ( _u966 != _u967) )).
% 19.49/19.67 cnf(fact_order__less__le-3, axiom, ( ~class_Orderings_Oorder(_u965) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u965), _u966), _u967)) | ( _u966 = _u967) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u965), _u966), _u967)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_less__le__not__le ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_less__le__not__le-1, axiom, ( ~class_Orderings_Opreorder(_u968) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u968), _u969), _u970)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u968), _u969), _u970)) )).
% 19.49/19.67 cnf(fact_less__le__not__le-2, axiom, ( ~class_Orderings_Opreorder(_u968) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u968), _u969), _u970)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u968), _u970), _u969)) )).
% 19.49/19.67 cnf(fact_less__le__not__le-3, axiom, ( ~class_Orderings_Opreorder(_u968) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u968), _u969), _u970)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u968), _u970), _u969)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u968), _u969), _u970)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_order__le__less ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_order__le__less-1, axiom, ( ~class_Orderings_Oorder(_u971) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u971), _u972), _u973)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u971), _u972), _u973)) | ( _u972 = _u973) )).
% 19.49/19.67 cnf(fact_order__le__less-2, axiom, ( ~class_Orderings_Oorder(_u971) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u971), _u972), _u973)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u971), _u972), _u973)) )).
% 19.49/19.67 cnf(fact_order__le__less-3, axiom, ( ~class_Orderings_Oorder(_u971) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u971), _u972), _u973)) | ( _u972 != _u973) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_leI ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_leI-1, axiom, ( ~class_Orderings_Olinorder(_u974) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u974), _u975), _u976)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u974), _u976), _u975)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_not__leE ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_not__leE-1, axiom, ( ~class_Orderings_Olinorder(_u977) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u977), _u978), _u979)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u977), _u979), _u978)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_linorder__antisym__conv1 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_linorder__antisym__conv1-1, axiom, ( ~class_Orderings_Olinorder(_u980) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u980), _u981), _u982)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u980), _u981), _u982)) | ( _u981 = _u982) )).
% 19.49/19.67 cnf(fact_linorder__antisym__conv1-2, axiom, ( ~class_Orderings_Olinorder(_u980) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u980), _u981), _u982)) | ( _u981 != _u982) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u980), _u981), _u982)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_order__neq__le__trans ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_order__neq__le__trans-1, axiom, ( ~class_Orderings_Oorder(_u983) | ( _u984 = _u985) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u983), _u984), _u985)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u983), _u984), _u985)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_xt1_I12_J ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_xt1_I12_J-1, axiom, ( ~class_Orderings_Oorder(_u986) | ( _u987 = _u988) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u986), _u988), _u987)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u986), _u988), _u987)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_leD ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_leD-1, axiom, ( ~class_Orderings_Olinorder(_u989) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u989), _u990), _u991)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u989), _u991), _u990)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_order__less__imp__le ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_order__less__imp__le-1, axiom, ( ~class_Orderings_Opreorder(_u992) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u992), _u993), _u994)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u992), _u993), _u994)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_linorder__antisym__conv2 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_linorder__antisym__conv2-1, axiom, ( ~class_Orderings_Olinorder(_u995) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u995), _u996), _u997)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u995), _u996), _u997)) | ( _u996 = _u997) )).
% 19.49/19.67 cnf(fact_linorder__antisym__conv2-2, axiom, ( ~class_Orderings_Olinorder(_u995) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u995), _u996), _u997)) | ( _u996 != _u997) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u995), _u996), _u997)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_order__le__imp__less__or__eq ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_order__le__imp__less__or__eq-1, axiom, ( ~class_Orderings_Oorder(_u998) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u998), _u999), _u1000)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u998), _u999), _u1000)) | ( _u999 = _u1000) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_order__le__neq__trans ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_order__le__neq__trans-1, axiom, ( ~class_Orderings_Oorder(_u1001) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1001), _u1002), _u1003)) | ( _u1002 = _u1003) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1001), _u1002), _u1003)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_xt1_I11_J ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_xt1_I11_J-1, axiom, ( ~class_Orderings_Oorder(_u1004) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1004), _u1005), _u1006)) | ( _u1006 = _u1005) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1004), _u1005), _u1006)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_order__less__le__trans ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_order__less__le__trans-1, axiom, ( ~class_Orderings_Opreorder(_u1007) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1007), _u1008), _u1009)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1007), _u1009), _u1010)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1007), _u1008), _u1010)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_xt1_I7_J ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_xt1_I7_J-1, axiom, ( ~class_Orderings_Oorder(_u1011) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1011), _u1012), _u1013)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1011), _u1014), _u1012)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1011), _u1014), _u1013)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_order__le__less__trans ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_order__le__less__trans-1, axiom, ( ~class_Orderings_Opreorder(_u1015) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1015), _u1016), _u1017)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1015), _u1017), _u1018)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1015), _u1016), _u1018)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_xt1_I8_J ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_xt1_I8_J-1, axiom, ( ~class_Orderings_Oorder(_u1019) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1019), _u1020), _u1021)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1019), _u1022), _u1020)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1019), _u1022), _u1021)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_psubsetD ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_psubsetD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1023, tc_HOL_Obool)), _u1024), _u1025)) | ~hBOOL(hAPP(hAPP(c_member(_u1023), _u1026), _u1024)) | hBOOL(hAPP(hAPP(c_member(_u1023), _u1026), _u1025)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_not__psubset__empty ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_not__psubset__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1027, tc_HOL_Obool)), _u1028), c_Orderings_Obot__class_Obot(tc_fun(_u1027, tc_HOL_Obool)))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_less__supI2 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_less__supI2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1029) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1029), _u1030), _u1031)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1029), _u1030), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1029), _u1032), _u1031))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_less__supI1 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_less__supI1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1033) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1033), _u1034), _u1035)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1033), _u1034), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1033), _u1035), _u1036))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_psubset__eq ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_psubset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1040, tc_HOL_Obool)), _u1042), _u1044)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1040, tc_HOL_Obool)), _u1042), _u1044)) )).
% 19.49/19.67 cnf(fact_psubset__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1040, tc_HOL_Obool)), _u1042), _u1044)) | ( _u1042 != _u1044) )).
% 19.49/19.67 cnf(fact_psubset__eq-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1041, tc_HOL_Obool)), _u1043), _u1045)) | ( _u1043 = _u1045) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1041, tc_HOL_Obool)), _u1043), _u1045)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_subset__iff__psubset__eq ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_subset__iff__psubset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1049, tc_HOL_Obool)), _u1051), _u1053)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1049, tc_HOL_Obool)), _u1051), _u1053)) | ( _u1051 = _u1053) )).
% 19.49/19.67 cnf(fact_subset__iff__psubset__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1050, tc_HOL_Obool)), _u1052), _u1054)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1050, tc_HOL_Obool)), _u1052), _u1054)) )).
% 19.49/19.67 cnf(fact_subset__iff__psubset__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1050, tc_HOL_Obool)), _u1052), _u1054)) | ( _u1052 != _u1054) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_psubset__imp__subset ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_psubset__imp__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1055, tc_HOL_Obool)), _u1056), _u1057)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1055, tc_HOL_Obool)), _u1056), _u1057)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_psubset__subset__trans ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_psubset__subset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1058, tc_HOL_Obool)), _u1059), _u1060)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1058, tc_HOL_Obool)), _u1060), _u1061)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1058, tc_HOL_Obool)), _u1059), _u1061)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_subset__psubset__trans ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_subset__psubset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1062, tc_HOL_Obool)), _u1063), _u1064)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1062, tc_HOL_Obool)), _u1064), _u1065)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1062, tc_HOL_Obool)), _u1063), _u1065)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_finite_Oequations_I1_J ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_finite_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u1066), c_Orderings_Obot__class_Obot(tc_fun(_u1066, tc_HOL_Obool)))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_finite__insert ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_finite__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1070), hAPP(hAPP(c_Set_Oinsert(_u1070), _u1072), _u1074))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1070), _u1074)) )).
% 19.49/19.67 cnf(fact_finite__insert-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1071), _u1075)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1071), hAPP(hAPP(c_Set_Oinsert(_u1071), _u1073), _u1075))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_rev__finite__subset ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_rev__finite__subset-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1076), _u1077)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1076, tc_HOL_Obool)), _u1078), _u1077)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1076), _u1078)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_finite__subset ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_finite__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1079, tc_HOL_Obool)), _u1080), _u1081)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1079), _u1081)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1079), _u1080)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_finite__Un ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_finite__Un-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1085), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1085, tc_HOL_Obool)), _u1087), _u1089))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1085), _u1087)) )).
% 19.49/19.67 cnf(fact_finite__Un-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1085), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1085, tc_HOL_Obool)), _u1087), _u1089))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1085), _u1089)) )).
% 19.49/19.67 cnf(fact_finite__Un-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1086), _u1088)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1086), _u1090)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1086), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1086, tc_HOL_Obool)), _u1088), _u1090))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_finite__UnI ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_finite__UnI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1091), _u1092)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1091), _u1093)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1091), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1091, tc_HOL_Obool)), _u1092), _u1093))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_finite__Diff2 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_finite__Diff2-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1094), _u1095)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1094), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1094, tc_HOL_Obool)), _u1096), _u1095))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1094), _u1096)) )).
% 19.49/19.67 cnf(fact_finite__Diff2-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1094), _u1095)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1094), _u1096)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1094), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1094, tc_HOL_Obool)), _u1096), _u1095))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_fold__graph_Oequations_I1_J ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_fold__graph_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1097, _u1098, _u1099, _u1100, c_Orderings_Obot__class_Obot(tc_fun(_u1097, tc_HOL_Obool))), _u1100)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_fold__graph_OemptyI ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_fold__graph_OemptyI-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1101, _u1102, _u1103, _u1104, c_Orderings_Obot__class_Obot(tc_fun(_u1101, tc_HOL_Obool))), _u1104)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_empty__fold__graphE ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_empty__fold__graphE-1, axiom, ( ( _u1109 = _u1108) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1105, _u1106, _u1107, _u1108, c_Orderings_Obot__class_Obot(tc_fun(_u1105, tc_HOL_Obool))), _u1109)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_finite__Diff__insert ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_finite__Diff__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1114), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1114, tc_HOL_Obool)), _u1116), hAPP(hAPP(c_Set_Oinsert(_u1114), _u1118), _u1120)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1114), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1114, tc_HOL_Obool)), _u1116), _u1120))) )).
% 19.49/19.67 cnf(fact_finite__Diff__insert-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1115), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1115, tc_HOL_Obool)), _u1117), _u1121))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1115), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1115, tc_HOL_Obool)), _u1117), hAPP(hAPP(c_Set_Oinsert(_u1115), _u1119), _u1121)))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_fold__graph_OinsertI ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_fold__graph_OinsertI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1122), _u1123), _u1124)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1122, _u1125, _u1126, _u1127, _u1124), _u1128)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1122, _u1125, _u1126, _u1127, hAPP(hAPP(c_Set_Oinsert(_u1122), _u1123), _u1124)), hAPP(hAPP(_u1126, _u1123), _u1128))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_folding__one_Oeq__fold ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_folding__one_Oeq__fold-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u1129, _u1130, _u1131) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1129), _u1132)) | ( hAPP(_u1131, _u1132) = hAPP(c_Finite__Set_Ofold1(_u1129, _u1130), _u1132)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_diff__eq__diff__eq ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_diff__eq__diff__eq-1, axiom, ( ~class_Groups_Oab__group__add(_u1133) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1133), _u1134), _u1135) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1133), _u1136), _u1137)) | ( _u1134 != _u1135) | ( _u1136 = _u1137) )).
% 19.49/19.67 cnf(fact_diff__eq__diff__eq-2, axiom, ( ~class_Groups_Oab__group__add(_u1133) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1133), _u1134), _u1135) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1133), _u1136), _u1137)) | ( _u1136 != _u1137) | ( _u1134 = _u1135) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_folding__image__simple_Oinsert ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_folding__image__simple_Oinsert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1139), _u1144)) | hBOOL(hAPP(hAPP(c_member(_u1139), _u1145), _u1144)) | ( hAPP(_u1143, hAPP(hAPP(c_Set_Oinsert(_u1139), _u1145), _u1144)) = hAPP(hAPP(_u1140, hAPP(_u1142, _u1145)), hAPP(_u1143, _u1144))) | ~c_Finite__Set_Ofolding__image__simple(_u1138, _u1139, _u1140, _u1141, _u1142, _u1143) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_fold__graph_H_Oequations_I2_J ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_fold__graph_H_Oequations_I2_J-1, axiom, ( ~c_Nitpick_Ofold__graph_H(_u1157, _u1159, _u1161, _u1163, _u1165, hAPP(hAPP(_u1161, _u1167), _u1169)) | ( _u1165 = c_Orderings_Obot__class_Obot(tc_fun(_u1157, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1157), skolem13(_u1169, _u1167, _u1165, _u1163, _u1161, _u1159, _u1157)), _u1165)) )).
% 19.49/19.67 cnf(fact_fold__graph_H_Oequations_I2_J-2, axiom, ( ~c_Nitpick_Ofold__graph_H(_u1157, _u1159, _u1161, _u1163, _u1165, hAPP(hAPP(_u1161, _u1167), _u1169)) | ( _u1165 = c_Orderings_Obot__class_Obot(tc_fun(_u1157, tc_HOL_Obool))) | ( hAPP(hAPP(_u1161, _u1167), _u1169) = hAPP(hAPP(_u1161, skolem13(_u1169, _u1167, _u1165, _u1163, _u1161, _u1159, _u1157)), skolem14(_u1169, _u1167, _u1165, _u1163, _u1161, _u1159, _u1157))) )).
% 19.49/19.67 cnf(fact_fold__graph_H_Oequations_I2_J-3, axiom, ( ~c_Nitpick_Ofold__graph_H(_u1157, _u1159, _u1161, _u1163, _u1165, hAPP(hAPP(_u1161, _u1167), _u1169)) | ( _u1165 = c_Orderings_Obot__class_Obot(tc_fun(_u1157, tc_HOL_Obool))) | c_Nitpick_Ofold__graph_H(_u1157, _u1159, _u1161, _u1163, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1157, tc_HOL_Obool)), _u1165), hAPP(hAPP(c_Set_Oinsert(_u1157), skolem13(_u1169, _u1167, _u1165, _u1163, _u1161, _u1159, _u1157)), c_Orderings_Obot__class_Obot(tc_fun(_u1157, tc_HOL_Obool)))), skolem14(_u1169, _u1167, _u1165, _u1163, _u1161, _u1159, _u1157)) )).
% 19.49/19.67 cnf(fact_fold__graph_H_Oequations_I2_J-4, axiom, ( ~c_Nitpick_Ofold__graph_H(_u1157, _u1159, _u1161, _u1163, _u1165, hAPP(hAPP(_u1161, _u1167), _u1169)) | ( hAPP(hAPP(_u1161, _u1167), _u1169) = _u1163) | hBOOL(hAPP(hAPP(c_member(_u1157), skolem13(_u1169, _u1167, _u1165, _u1163, _u1161, _u1159, _u1157)), _u1165)) )).
% 19.49/19.67 cnf(fact_fold__graph_H_Oequations_I2_J-5, axiom, ( ~c_Nitpick_Ofold__graph_H(_u1157, _u1159, _u1161, _u1163, _u1165, hAPP(hAPP(_u1161, _u1167), _u1169)) | ( hAPP(hAPP(_u1161, _u1167), _u1169) = _u1163) | ( hAPP(hAPP(_u1161, _u1167), _u1169) = hAPP(hAPP(_u1161, skolem13(_u1169, _u1167, _u1165, _u1163, _u1161, _u1159, _u1157)), skolem14(_u1169, _u1167, _u1165, _u1163, _u1161, _u1159, _u1157))) )).
% 19.49/19.67 cnf(fact_fold__graph_H_Oequations_I2_J-6, axiom, ( ~c_Nitpick_Ofold__graph_H(_u1157, _u1159, _u1161, _u1163, _u1165, hAPP(hAPP(_u1161, _u1167), _u1169)) | ( hAPP(hAPP(_u1161, _u1167), _u1169) = _u1163) | c_Nitpick_Ofold__graph_H(_u1157, _u1159, _u1161, _u1163, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1157, tc_HOL_Obool)), _u1165), hAPP(hAPP(c_Set_Oinsert(_u1157), skolem13(_u1169, _u1167, _u1165, _u1163, _u1161, _u1159, _u1157)), c_Orderings_Obot__class_Obot(tc_fun(_u1157, tc_HOL_Obool)))), skolem14(_u1169, _u1167, _u1165, _u1163, _u1161, _u1159, _u1157)) )).
% 19.49/19.67 cnf(fact_fold__graph_H_Oequations_I2_J-7, axiom, ( c_Nitpick_Ofold__graph_H(_u1158, _u1160, _u1162, _u1164, _u1166, hAPP(hAPP(_u1162, _u1168), _u1170)) | ( _u1166 != c_Orderings_Obot__class_Obot(tc_fun(_u1158, tc_HOL_Obool))) | ( hAPP(hAPP(_u1162, _u1168), _u1170) != _u1164) )).
% 19.49/19.67 cnf(fact_fold__graph_H_Oequations_I2_J-8, axiom, ( c_Nitpick_Ofold__graph_H(_u1158, _u1160, _u1162, _u1164, _u1166, hAPP(hAPP(_u1162, _u1168), _u1170)) | ~hBOOL(hAPP(hAPP(c_member(_u1158), _u1149), _u1166)) | ( hAPP(hAPP(_u1162, _u1168), _u1170) != hAPP(hAPP(_u1162, _u1149), _u1148)) | ~c_Nitpick_Ofold__graph_H(_u1158, _u1160, _u1162, _u1164, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1158, tc_HOL_Obool)), _u1166), hAPP(hAPP(c_Set_Oinsert(_u1158), _u1149), c_Orderings_Obot__class_Obot(tc_fun(_u1158, tc_HOL_Obool)))), _u1148) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_folding__one_Oclosed ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_folding__one_Oclosed-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u1173, _u1174, _u1175) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1173), _u1176)) | ( _u1176 = c_Orderings_Obot__class_Obot(tc_fun(_u1173, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u1173), hAPP(hAPP(_u1174, skolem15(_u1176, _u1175, _u1174, _u1173)), skolem16(_u1176, _u1175, _u1174, _u1173))), hAPP(hAPP(c_Set_Oinsert(_u1173), skolem15(_u1176, _u1175, _u1174, _u1173)), hAPP(hAPP(c_Set_Oinsert(_u1173), skolem16(_u1176, _u1175, _u1174, _u1173)), c_Orderings_Obot__class_Obot(tc_fun(_u1173, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u1173), hAPP(_u1175, _u1176)), _u1176)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_finite__empty__induct ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_finite__empty__induct-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1179), _u1180)) | ~hBOOL(hAPP(_u1181, _u1180)) | hBOOL(hAPP(_u1181, c_Orderings_Obot__class_Obot(tc_fun(_u1179, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1179), skolem18(_u1181, _u1180, _u1179))) )).
% 19.49/19.67 cnf(fact_finite__empty__induct-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1179), _u1180)) | ~hBOOL(hAPP(_u1181, _u1180)) | hBOOL(hAPP(_u1181, c_Orderings_Obot__class_Obot(tc_fun(_u1179, tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_member(_u1179), skolem17(_u1181, _u1180, _u1179)), skolem18(_u1181, _u1180, _u1179))) )).
% 19.49/19.67 cnf(fact_finite__empty__induct-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1179), _u1180)) | ~hBOOL(hAPP(_u1181, _u1180)) | hBOOL(hAPP(_u1181, c_Orderings_Obot__class_Obot(tc_fun(_u1179, tc_HOL_Obool)))) | hBOOL(hAPP(_u1181, skolem18(_u1181, _u1180, _u1179))) )).
% 19.49/19.67 cnf(fact_finite__empty__induct-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1179), _u1180)) | ~hBOOL(hAPP(_u1181, _u1180)) | hBOOL(hAPP(_u1181, c_Orderings_Obot__class_Obot(tc_fun(_u1179, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u1181, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1179, tc_HOL_Obool)), skolem18(_u1181, _u1180, _u1179)), hAPP(hAPP(c_Set_Oinsert(_u1179), skolem17(_u1181, _u1180, _u1179)), c_Orderings_Obot__class_Obot(tc_fun(_u1179, tc_HOL_Obool)))))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_folding__one__idem_Ounion__idem ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_folding__one__idem_Ounion__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u1182, _u1183, _u1184) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1182), _u1185)) | ( _u1185 = c_Orderings_Obot__class_Obot(tc_fun(_u1182, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1182), _u1186)) | ( _u1186 = c_Orderings_Obot__class_Obot(tc_fun(_u1182, tc_HOL_Obool))) | ( hAPP(_u1184, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1182, tc_HOL_Obool)), _u1185), _u1186)) = hAPP(hAPP(_u1183, hAPP(_u1184, _u1185)), hAPP(_u1184, _u1186))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_folding__one__idem_Osubset__idem ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_folding__one__idem_Osubset__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u1187, _u1188, _u1189) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1187), _u1190)) | ( _u1191 = c_Orderings_Obot__class_Obot(tc_fun(_u1187, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1187, tc_HOL_Obool)), _u1191), _u1190)) | ( hAPP(hAPP(_u1188, hAPP(_u1189, _u1191)), hAPP(_u1189, _u1190)) = hAPP(_u1189, _u1190)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_finite__subset__induct ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_finite__subset__induct-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1194), _u1195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1194, tc_HOL_Obool)), _u1195), _u1196)) | ~hBOOL(hAPP(_u1197, c_Orderings_Obot__class_Obot(tc_fun(_u1194, tc_HOL_Obool)))) | hBOOL(hAPP(_u1197, _u1195)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1194), skolem20(_u1197, _u1196, _u1195, _u1194))) )).
% 19.49/19.67 cnf(fact_finite__subset__induct-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1194), _u1195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1194, tc_HOL_Obool)), _u1195), _u1196)) | ~hBOOL(hAPP(_u1197, c_Orderings_Obot__class_Obot(tc_fun(_u1194, tc_HOL_Obool)))) | hBOOL(hAPP(_u1197, _u1195)) | hBOOL(hAPP(hAPP(c_member(_u1194), skolem19(_u1197, _u1196, _u1195, _u1194)), _u1196)) )).
% 19.49/19.67 cnf(fact_finite__subset__induct-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1194), _u1195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1194, tc_HOL_Obool)), _u1195), _u1196)) | ~hBOOL(hAPP(_u1197, c_Orderings_Obot__class_Obot(tc_fun(_u1194, tc_HOL_Obool)))) | hBOOL(hAPP(_u1197, _u1195)) | ~hBOOL(hAPP(hAPP(c_member(_u1194), skolem19(_u1197, _u1196, _u1195, _u1194)), skolem20(_u1197, _u1196, _u1195, _u1194))) )).
% 19.49/19.67 cnf(fact_finite__subset__induct-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1194), _u1195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1194, tc_HOL_Obool)), _u1195), _u1196)) | ~hBOOL(hAPP(_u1197, c_Orderings_Obot__class_Obot(tc_fun(_u1194, tc_HOL_Obool)))) | hBOOL(hAPP(_u1197, _u1195)) | hBOOL(hAPP(_u1197, skolem20(_u1197, _u1196, _u1195, _u1194))) )).
% 19.49/19.67 cnf(fact_finite__subset__induct-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1194), _u1195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1194, tc_HOL_Obool)), _u1195), _u1196)) | ~hBOOL(hAPP(_u1197, c_Orderings_Obot__class_Obot(tc_fun(_u1194, tc_HOL_Obool)))) | hBOOL(hAPP(_u1197, _u1195)) | ~hBOOL(hAPP(_u1197, hAPP(hAPP(c_Set_Oinsert(_u1194), skolem19(_u1197, _u1196, _u1195, _u1194)), skolem20(_u1197, _u1196, _u1195, _u1194)))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_folding__one__idem_Oinsert__idem ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_folding__one__idem_Oinsert__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u1198, _u1199, _u1200) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1198), _u1201)) | ( _u1201 = c_Orderings_Obot__class_Obot(tc_fun(_u1198, tc_HOL_Obool))) | ( hAPP(_u1200, hAPP(hAPP(c_Set_Oinsert(_u1198), _u1202), _u1201)) = hAPP(hAPP(_u1199, _u1202), hAPP(_u1200, _u1201))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_insert__fold1SetE ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_insert__fold1SetE-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1205, _u1206, hAPP(hAPP(c_Set_Oinsert(_u1205), _u1207), _u1208)), _u1209)) | ( hAPP(hAPP(c_Set_Oinsert(_u1205), _u1207), _u1208) = hAPP(hAPP(c_Set_Oinsert(_u1205), skolem21(_u1209, _u1208, _u1207, _u1206, _u1205)), skolem22(_u1209, _u1208, _u1207, _u1206, _u1205))) )).
% 19.49/19.67 cnf(fact_insert__fold1SetE-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1205, _u1206, hAPP(hAPP(c_Set_Oinsert(_u1205), _u1207), _u1208)), _u1209)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1205, _u1205, _u1206, skolem21(_u1209, _u1208, _u1207, _u1206, _u1205), skolem22(_u1209, _u1208, _u1207, _u1206, _u1205)), _u1209)) )).
% 19.49/19.67 cnf(fact_insert__fold1SetE-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1205, _u1206, hAPP(hAPP(c_Set_Oinsert(_u1205), _u1207), _u1208)), _u1209)) | ~hBOOL(hAPP(hAPP(c_member(_u1205), skolem21(_u1209, _u1208, _u1207, _u1206, _u1205)), skolem22(_u1209, _u1208, _u1207, _u1206, _u1205))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_fold1Set_Oequations ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_fold1Set_Oequations-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1219, _u1221, hAPP(hAPP(c_Set_Oinsert(_u1219), _u1223), _u1225)), _u1227)) | ( hAPP(hAPP(c_Set_Oinsert(_u1219), _u1223), _u1225) = hAPP(hAPP(c_Set_Oinsert(_u1219), skolem23(_u1227, _u1225, _u1223, _u1221, _u1219)), skolem24(_u1227, _u1225, _u1223, _u1221, _u1219))) )).
% 19.49/19.67 cnf(fact_fold1Set_Oequations-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1219, _u1221, hAPP(hAPP(c_Set_Oinsert(_u1219), _u1223), _u1225)), _u1227)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1219, _u1219, _u1221, skolem23(_u1227, _u1225, _u1223, _u1221, _u1219), skolem24(_u1227, _u1225, _u1223, _u1221, _u1219)), _u1227)) )).
% 19.49/19.67 cnf(fact_fold1Set_Oequations-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1219, _u1221, hAPP(hAPP(c_Set_Oinsert(_u1219), _u1223), _u1225)), _u1227)) | ~hBOOL(hAPP(hAPP(c_member(_u1219), skolem23(_u1227, _u1225, _u1223, _u1221, _u1219)), skolem24(_u1227, _u1225, _u1223, _u1221, _u1219))) )).
% 19.49/19.67 cnf(fact_fold1Set_Oequations-4, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u1220), _u1224), _u1226) != hAPP(hAPP(c_Set_Oinsert(_u1220), _u1213), _u1212)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1220, _u1220, _u1222, _u1213, _u1212), _u1228)) | hBOOL(hAPP(hAPP(c_member(_u1220), _u1213), _u1212)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1220, _u1222, hAPP(hAPP(c_Set_Oinsert(_u1220), _u1224), _u1226)), _u1228)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_fold__graph__permute__diff ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_fold__graph__permute__diff-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u1229) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1229, _u1229, c_Groups_Otimes__class_Otimes(_u1229), _u1230, _u1231), _u1232)) | ~hBOOL(hAPP(hAPP(c_member(_u1229), _u1233), _u1231)) | hBOOL(hAPP(hAPP(c_member(_u1229), _u1230), _u1231)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1229, _u1229, c_Groups_Otimes__class_Otimes(_u1229), _u1233, hAPP(hAPP(c_Set_Oinsert(_u1229), _u1230), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1229, tc_HOL_Obool)), _u1231), hAPP(hAPP(c_Set_Oinsert(_u1229), _u1233), c_Orderings_Obot__class_Obot(tc_fun(_u1229, tc_HOL_Obool)))))), _u1232)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_fold1__insert ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_fold1__insert-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u1234) | ( _u1235 = c_Orderings_Obot__class_Obot(tc_fun(_u1234, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1234), _u1235)) | hBOOL(hAPP(hAPP(c_member(_u1234), _u1236), _u1235)) | ( hAPP(c_Finite__Set_Ofold1(_u1234, c_Groups_Otimes__class_Otimes(_u1234)), hAPP(hAPP(c_Set_Oinsert(_u1234), _u1236), _u1235)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1234), _u1236), hAPP(c_Finite__Set_Ofold1(_u1234, c_Groups_Otimes__class_Otimes(_u1234)), _u1235))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_ab__semigroup__mult__class_Omult__ac_I1_J ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_ab__semigroup__mult__class_Omult__ac_I1_J-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u1237) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1237), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1237), _u1238), _u1239)), _u1240) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1237), _u1238), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1237), _u1239), _u1240))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_mult__left__idem ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_mult__left__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u1241) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1241), _u1242), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1241), _u1242), _u1243)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1241), _u1242), _u1243)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_mult__idem ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_mult__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u1244) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1244), _u1245), _u1245) = _u1245) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_times_Oidem ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_times_Oidem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u1246) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1246), _u1247), _u1247) = _u1247) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_folding__one__idem_Oidem ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_folding__one__idem_Oidem-1, axiom, ( ( hAPP(hAPP(_u1249, _u1251), _u1251) = _u1251) | ~c_Finite__Set_Ofolding__one__idem(_u1248, _u1249, _u1250) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_fun__left__comm__idem ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_fun__left__comm__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u1252) | c_Finite__Set_Ofun__left__comm__idem(_u1252, _u1252, c_Groups_Otimes__class_Otimes(_u1252)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_fold__graph__insert__swap ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_fold__graph__insert__swap-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u1253) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1253, _u1253, c_Groups_Otimes__class_Otimes(_u1253), _u1254, _u1255), _u1256)) | hBOOL(hAPP(hAPP(c_member(_u1253), _u1254), _u1255)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1253, _u1253, c_Groups_Otimes__class_Otimes(_u1253), _u1257, hAPP(hAPP(c_Set_Oinsert(_u1253), _u1254), _u1255)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1253), _u1257), _u1256))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_folding__one__idem_Oin__idem ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_folding__one__idem_Oin__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u1258, _u1259, _u1260) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1258), _u1261)) | ~hBOOL(hAPP(hAPP(c_member(_u1258), _u1262), _u1261)) | ( hAPP(hAPP(_u1259, _u1262), hAPP(_u1260, _u1261)) = hAPP(_u1260, _u1261)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_fold1__insert__idem ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_fold1__insert__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u1263) | ( _u1264 = c_Orderings_Obot__class_Obot(tc_fun(_u1263, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1263), _u1264)) | ( hAPP(c_Finite__Set_Ofold1(_u1263, c_Groups_Otimes__class_Otimes(_u1263)), hAPP(hAPP(c_Set_Oinsert(_u1263), _u1265), _u1264)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1263), _u1265), hAPP(c_Finite__Set_Ofold1(_u1263, c_Groups_Otimes__class_Otimes(_u1263)), _u1264))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_fold1__Un2 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_fold1__Un2-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u1266) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1266), _u1267)) | ( _u1267 = c_Orderings_Obot__class_Obot(tc_fun(_u1266, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1266), _u1268)) | ( _u1268 = c_Orderings_Obot__class_Obot(tc_fun(_u1266, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u1266, c_Groups_Otimes__class_Otimes(_u1266)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1266, tc_HOL_Obool)), _u1267), _u1268)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1266), hAPP(c_Finite__Set_Ofold1(_u1266, c_Groups_Otimes__class_Otimes(_u1266)), _u1267)), hAPP(c_Finite__Set_Ofold1(_u1266, c_Groups_Otimes__class_Otimes(_u1266)), _u1268))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_fold1__in ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_fold1__in-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u1271) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1271), _u1272)) | ( _u1272 = c_Orderings_Obot__class_Obot(tc_fun(_u1271, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u1271), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1271), skolem25(_u1272, _u1271)), skolem26(_u1272, _u1271))), hAPP(hAPP(c_Set_Oinsert(_u1271), skolem25(_u1272, _u1271)), hAPP(hAPP(c_Set_Oinsert(_u1271), skolem26(_u1272, _u1271)), c_Orderings_Obot__class_Obot(tc_fun(_u1271, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u1271), hAPP(c_Finite__Set_Ofold1(_u1271, c_Groups_Otimes__class_Otimes(_u1271)), _u1272)), _u1272)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_fold1__Un ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_fold1__Un-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u1273) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1273), _u1274)) | ( _u1274 = c_Orderings_Obot__class_Obot(tc_fun(_u1273, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1273), _u1275)) | ( _u1275 = c_Orderings_Obot__class_Obot(tc_fun(_u1273, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1273, tc_HOL_Obool)), _u1274), _u1275) != c_Orderings_Obot__class_Obot(tc_fun(_u1273, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u1273, c_Groups_Otimes__class_Otimes(_u1273)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1273, tc_HOL_Obool)), _u1274), _u1275)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1273), hAPP(c_Finite__Set_Ofold1(_u1273, c_Groups_Otimes__class_Otimes(_u1273)), _u1274)), hAPP(c_Finite__Set_Ofold1(_u1273, c_Groups_Otimes__class_Otimes(_u1273)), _u1275))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_folding__image__simple__idem_Ounion__idem ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_folding__image__simple__idem_Ounion__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1277), _u1282)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1277), _u1283)) | ( hAPP(_u1281, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1277, tc_HOL_Obool)), _u1282), _u1283)) = hAPP(hAPP(_u1278, hAPP(_u1281, _u1282)), hAPP(_u1281, _u1283))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u1276, _u1277, _u1278, _u1279, _u1280, _u1281) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_folding__image__simple__idem_Osubset__idem ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_folding__image__simple__idem_Osubset__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1285), _u1290)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1285, tc_HOL_Obool)), _u1291), _u1290)) | ( hAPP(hAPP(_u1286, hAPP(_u1289, _u1291)), hAPP(_u1289, _u1290)) = hAPP(_u1289, _u1290)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u1284, _u1285, _u1286, _u1287, _u1288, _u1289) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_fold1__eq__fold ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_fold1__eq__fold-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u1292) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1292), _u1293)) | hBOOL(hAPP(hAPP(c_member(_u1292), _u1294), _u1293)) | ( hAPP(c_Finite__Set_Ofold1(_u1292, c_Groups_Otimes__class_Otimes(_u1292)), hAPP(hAPP(c_Set_Oinsert(_u1292), _u1294), _u1293)) = hAPP(hAPP(c_Finite__Set_Ofold(_u1292, _u1292, c_Groups_Otimes__class_Otimes(_u1292)), _u1294), _u1293)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_folding__image__simple__idem_Oinsert__idem ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_folding__image__simple__idem_Oinsert__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1296), _u1301)) | ( hAPP(_u1300, hAPP(hAPP(c_Set_Oinsert(_u1296), _u1302), _u1301)) = hAPP(hAPP(_u1297, hAPP(_u1299, _u1302)), hAPP(_u1300, _u1301))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u1295, _u1296, _u1297, _u1298, _u1299, _u1300) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_finite__induct ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_finite__induct-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1305), _u1306)) | ~hBOOL(hAPP(_u1307, c_Orderings_Obot__class_Obot(tc_fun(_u1305, tc_HOL_Obool)))) | hBOOL(hAPP(_u1307, _u1306)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1305), skolem28(_u1307, _u1306, _u1305))) )).
% 19.49/19.67 cnf(fact_finite__induct-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1305), _u1306)) | ~hBOOL(hAPP(_u1307, c_Orderings_Obot__class_Obot(tc_fun(_u1305, tc_HOL_Obool)))) | hBOOL(hAPP(_u1307, _u1306)) | ~hBOOL(hAPP(hAPP(c_member(_u1305), skolem27(_u1307, _u1306, _u1305)), skolem28(_u1307, _u1306, _u1305))) )).
% 19.49/19.67 cnf(fact_finite__induct-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1305), _u1306)) | ~hBOOL(hAPP(_u1307, c_Orderings_Obot__class_Obot(tc_fun(_u1305, tc_HOL_Obool)))) | hBOOL(hAPP(_u1307, _u1306)) | hBOOL(hAPP(_u1307, skolem28(_u1307, _u1306, _u1305))) )).
% 19.49/19.67 cnf(fact_finite__induct-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1305), _u1306)) | ~hBOOL(hAPP(_u1307, c_Orderings_Obot__class_Obot(tc_fun(_u1305, tc_HOL_Obool)))) | hBOOL(hAPP(_u1307, _u1306)) | ~hBOOL(hAPP(_u1307, hAPP(hAPP(c_Set_Oinsert(_u1305), skolem27(_u1307, _u1306, _u1305)), skolem28(_u1307, _u1306, _u1305)))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_folding__image__simple__idem_Oin__idem ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_folding__image__simple__idem_Oin__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1309), _u1314)) | ~hBOOL(hAPP(hAPP(c_member(_u1309), _u1315), _u1314)) | ( hAPP(hAPP(_u1310, hAPP(_u1312, _u1315)), hAPP(_u1313, _u1314)) = hAPP(_u1313, _u1314)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u1308, _u1309, _u1310, _u1311, _u1312, _u1313) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Sup__fin_Oremove ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Sup__fin_Oremove-1, axiom, ( ~class_Lattices_Olattice(_u1316) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1316), _u1317)) | ~hBOOL(hAPP(hAPP(c_member(_u1316), _u1318), _u1317)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1316, tc_HOL_Obool)), _u1317), hAPP(hAPP(c_Set_Oinsert(_u1316), _u1318), c_Orderings_Obot__class_Obot(tc_fun(_u1316, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u1316, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1316, _u1317) = _u1318) )).
% 19.49/19.67 cnf(fact_Sup__fin_Oremove-2, axiom, ( ~class_Lattices_Olattice(_u1316) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1316), _u1317)) | ~hBOOL(hAPP(hAPP(c_member(_u1316), _u1318), _u1317)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1316, tc_HOL_Obool)), _u1317), hAPP(hAPP(c_Set_Oinsert(_u1316), _u1318), c_Orderings_Obot__class_Obot(tc_fun(_u1316, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u1316, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1316, _u1317) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1316), _u1318), c_Big__Operators_Olattice__class_OSup__fin(_u1316, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1316, tc_HOL_Obool)), _u1317), hAPP(hAPP(c_Set_Oinsert(_u1316), _u1318), c_Orderings_Obot__class_Obot(tc_fun(_u1316, tc_HOL_Obool))))))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_card__Diff2__less ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_card__Diff2__less-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1319), _u1320)) | ~hBOOL(hAPP(hAPP(c_member(_u1319), _u1321), _u1320)) | ~hBOOL(hAPP(hAPP(c_member(_u1319), _u1322), _u1320)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u1319), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1319, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1319, tc_HOL_Obool)), _u1320), hAPP(hAPP(c_Set_Oinsert(_u1319), _u1321), c_Orderings_Obot__class_Obot(tc_fun(_u1319, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u1319), _u1322), c_Orderings_Obot__class_Obot(tc_fun(_u1319, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u1319), _u1320))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_card__Diff1__less ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_card__Diff1__less-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1323), _u1324)) | ~hBOOL(hAPP(hAPP(c_member(_u1323), _u1325), _u1324)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u1323), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1323, tc_HOL_Obool)), _u1324), hAPP(hAPP(c_Set_Oinsert(_u1323), _u1325), c_Orderings_Obot__class_Obot(tc_fun(_u1323, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u1323), _u1324))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf1I ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf1I-1, axiom, ( ~hBOOL(hAPP(_u1326, _u1327)) | ~hBOOL(hAPP(_u1328, _u1327)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1329, tc_HOL_Obool)), _u1326), _u1328), _u1327)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf1E ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf1E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1330, tc_HOL_Obool)), _u1331), _u1332), _u1333)) | hBOOL(hAPP(_u1331, _u1333)) )).
% 19.49/19.67 cnf(fact_inf1E-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1330, tc_HOL_Obool)), _u1331), _u1332), _u1333)) | hBOOL(hAPP(_u1332, _u1333)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_IntI ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_IntI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1334), _u1335), _u1336)) | ~hBOOL(hAPP(hAPP(c_member(_u1334), _u1335), _u1337)) | hBOOL(hAPP(hAPP(c_member(_u1334), _u1335), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1334, tc_HOL_Obool)), _u1336), _u1337))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_IntE ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_IntE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1338), _u1339), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1338, tc_HOL_Obool)), _u1340), _u1341))) | hBOOL(hAPP(hAPP(c_member(_u1338), _u1339), _u1340)) )).
% 19.49/19.67 cnf(fact_IntE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1338), _u1339), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1338, tc_HOL_Obool)), _u1340), _u1341))) | hBOOL(hAPP(hAPP(c_member(_u1338), _u1339), _u1341)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_finite__Int ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_finite__Int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u1342), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1342, tc_HOL_Obool)), _u1343), _u1344))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1342), _u1343)) )).
% 19.49/19.67 cnf(fact_finite__Int-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u1342), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1342, tc_HOL_Obool)), _u1343), _u1344))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1342), _u1344)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf_Oidem ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf_Oidem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1345) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1345), _u1346), _u1346) = _u1346) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf__idem ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1347) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1347), _u1348), _u1348) = _u1348) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf_Ocommute ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf_Ocommute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1349) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1349), _u1350), _u1351) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1349), _u1351), _u1350)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf__sup__aci_I1_J ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf__sup__aci_I1_J-1, axiom, ( ~class_Lattices_Olattice(_u1352) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1352), _u1353), _u1354) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1352), _u1354), _u1353)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf__commute ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1355) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1355), _u1356), _u1357) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1355), _u1357), _u1356)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf_Oleft__idem ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf_Oleft__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1358) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1358), _u1359), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1358), _u1359), _u1360)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1358), _u1359), _u1360)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf__sup__aci_I4_J ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf__sup__aci_I4_J-1, axiom, ( ~class_Lattices_Olattice(_u1361) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1361), _u1362), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1361), _u1362), _u1363)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1361), _u1362), _u1363)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf__left__idem ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf__left__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1364) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1364), _u1365), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1364), _u1365), _u1366)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1364), _u1365), _u1366)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf_Oleft__commute ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf_Oleft__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1367) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1367), _u1368), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1367), _u1369), _u1370)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1367), _u1369), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1367), _u1368), _u1370))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf__sup__aci_I3_J ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf__sup__aci_I3_J-1, axiom, ( ~class_Lattices_Olattice(_u1371) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1371), _u1372), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1371), _u1373), _u1374)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1371), _u1373), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1371), _u1372), _u1374))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf__left__commute ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf__left__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1375) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1375), _u1376), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1375), _u1377), _u1378)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1375), _u1377), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1375), _u1376), _u1378))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf_Oassoc ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf_Oassoc-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1379) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1379), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1379), _u1380), _u1381)), _u1382) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1379), _u1380), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1379), _u1381), _u1382))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf__sup__aci_I2_J ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf__sup__aci_I2_J-1, axiom, ( ~class_Lattices_Olattice(_u1383) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1383), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1383), _u1384), _u1385)), _u1386) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1383), _u1384), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1383), _u1385), _u1386))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf__assoc ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf__assoc-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1387) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1387), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1387), _u1388), _u1389)), _u1390) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1387), _u1388), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1387), _u1389), _u1390))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf__apply ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf__apply-1, axiom, ( ~class_Lattices_Olattice(_u1391) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1392, _u1391)), _u1393), _u1394), _u1395) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1391), hAPP(_u1393, _u1395)), hAPP(_u1394, _u1395))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf1D1 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf1D1-1, axiom, ( hBOOL(hAPP(_u1397, _u1399)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1396, tc_HOL_Obool)), _u1397), _u1398), _u1399)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf1D2 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf1D2-1, axiom, ( hBOOL(hAPP(_u1402, _u1403)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1400, tc_HOL_Obool)), _u1401), _u1402), _u1403)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Int__absorb ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Int__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1404, tc_HOL_Obool)), _u1405), _u1405) = _u1405) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Int__commute ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Int__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1406, tc_HOL_Obool)), _u1407), _u1408) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1406, tc_HOL_Obool)), _u1408), _u1407)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Int__left__absorb ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Int__left__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1409, tc_HOL_Obool)), _u1410), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1409, tc_HOL_Obool)), _u1410), _u1411)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1409, tc_HOL_Obool)), _u1410), _u1411)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Int__left__commute ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Int__left__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1412, tc_HOL_Obool)), _u1413), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1412, tc_HOL_Obool)), _u1414), _u1415)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1412, tc_HOL_Obool)), _u1414), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1412, tc_HOL_Obool)), _u1413), _u1415))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Int__assoc ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Int__assoc-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1416, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1416, tc_HOL_Obool)), _u1417), _u1418)), _u1419) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1416, tc_HOL_Obool)), _u1417), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1416, tc_HOL_Obool)), _u1418), _u1419))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Inf__fin_Oidem ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Inf__fin_Oidem-1, axiom, ( ~class_Lattices_Olattice(_u1420) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1420), _u1421), _u1421) = _u1421) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_fold__inf__insert ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_fold__inf__insert-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1422) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1422), _u1423)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u1422, _u1422, c_Lattices_Osemilattice__inf__class_Oinf(_u1422)), _u1424), hAPP(hAPP(c_Set_Oinsert(_u1422), _u1425), _u1423)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1422), _u1425), hAPP(hAPP(c_Finite__Set_Ofold(_u1422, _u1422, c_Lattices_Osemilattice__inf__class_Oinf(_u1422)), _u1424), _u1423))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_folding__image__simple__idem_Oidem ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_folding__image__simple__idem_Oidem-1, axiom, ( ( hAPP(hAPP(_u1428, _u1432), _u1432) = _u1432) | ~c_Finite__Set_Ofolding__image__simple__idem(_u1426, _u1427, _u1428, _u1429, _u1430, _u1431) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf__Sup__absorb ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf__Sup__absorb-1, axiom, ( ~class_Lattices_Olattice(_u1433) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1433), _u1434)) | ~hBOOL(hAPP(hAPP(c_member(_u1433), _u1435), _u1434)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1433), _u1435), c_Big__Operators_Olattice__class_OSup__fin(_u1433, _u1434)) = _u1435) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_card__Diff__subset__Int ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_card__Diff__subset__Int-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1436), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1436, tc_HOL_Obool)), _u1437), _u1438))) | ( hAPP(c_Finite__Set_Ocard(_u1436), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1436, tc_HOL_Obool)), _u1437), _u1438)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u1436), _u1437)), hAPP(c_Finite__Set_Ocard(_u1436), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1436, tc_HOL_Obool)), _u1437), _u1438)))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_fold__inf__le__inf ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_fold__inf__le__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1439) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1439), _u1440)) | ~hBOOL(hAPP(hAPP(c_member(_u1439), _u1441), _u1440)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1439), hAPP(hAPP(c_Finite__Set_Ofold(_u1439, _u1439, c_Lattices_Osemilattice__inf__class_Oinf(_u1439)), _u1442), _u1440)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1439), _u1441), _u1442))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_le__infE ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_le__infE-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1443), _u1444), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1443), _u1445), _u1446))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1443), _u1444), _u1445)) )).
% 19.49/19.67 cnf(fact_le__infE-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u1443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1443), _u1444), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1443), _u1445), _u1446))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1443), _u1444), _u1446)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf__mono ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf__mono-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1447) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1447), _u1448), _u1449)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1447), _u1450), _u1451)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1447), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1447), _u1448), _u1450)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1447), _u1449), _u1451))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf__greatest ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf__greatest-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1452) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1452), _u1453), _u1454)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1452), _u1453), _u1455)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1452), _u1453), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1452), _u1454), _u1455))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_le__infI ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_le__infI-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1456) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1456), _u1457), _u1458)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1456), _u1457), _u1459)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1456), _u1457), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1456), _u1458), _u1459))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf__absorb2 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf__absorb2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1460) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1460), _u1461), _u1462)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1460), _u1462), _u1461) = _u1461) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf__absorb1 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf__absorb1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1463) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1463), _u1464), _u1465)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1463), _u1464), _u1465) = _u1464) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_le__infI2 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_le__infI2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1466) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1466), _u1467), _u1468)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1466), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1466), _u1469), _u1467)), _u1468)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_le__infI1 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_le__infI1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1470) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1470), _u1471), _u1472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1470), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1470), _u1471), _u1473)), _u1472)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_le__inf__iff ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_le__inf__iff-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1474) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1474), _u1475), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1474), _u1476), _u1477))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1474), _u1475), _u1476)) )).
% 19.49/19.67 cnf(fact_le__inf__iff-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u1474) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1474), _u1475), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1474), _u1476), _u1477))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1474), _u1475), _u1477)) )).
% 19.49/19.67 cnf(fact_le__inf__iff-3, axiom, ( ~class_Lattices_Osemilattice__inf(_u1474) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1474), _u1475), _u1476)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1474), _u1475), _u1477)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1474), _u1475), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1474), _u1476), _u1477))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_le__iff__inf ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_le__iff__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1478) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1478), _u1479), _u1480)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1478), _u1479), _u1480) = _u1479) )).
% 19.49/19.67 cnf(fact_le__iff__inf-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u1478) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1478), _u1479), _u1480) != _u1479) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1478), _u1479), _u1480)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf__le2 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf__le2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1481) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1481), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1481), _u1482), _u1483)), _u1483)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf__sup__ord_I2_J ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf__sup__ord_I2_J-1, axiom, ( ~class_Lattices_Olattice(_u1484) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1484), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1484), _u1485), _u1486)), _u1486)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf__le1 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf__le1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1487) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1487), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1487), _u1488), _u1489)), _u1488)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf__sup__ord_I1_J ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf__sup__ord_I1_J-1, axiom, ( ~class_Lattices_Olattice(_u1490) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1490), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1490), _u1491), _u1492)), _u1491)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_less__infI1 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_less__infI1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1493) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1493), _u1494), _u1495)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1493), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1493), _u1494), _u1496)), _u1495)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_less__infI2 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_less__infI2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1497) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1497), _u1498), _u1499)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1497), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1497), _u1500), _u1498)), _u1499)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf__bot__left ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf__bot__left-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u1501) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1501), c_Orderings_Obot__class_Obot(_u1501)), _u1502) = c_Orderings_Obot__class_Obot(_u1501)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf__bot__right ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf__bot__right-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u1503) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1503), _u1504), c_Orderings_Obot__class_Obot(_u1503)) = c_Orderings_Obot__class_Obot(_u1503)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_sup__inf__distrib2 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_sup__inf__distrib2-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u1505) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1505), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1505), _u1506), _u1507)), _u1508) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1505), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1505), _u1506), _u1508)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1505), _u1507), _u1508))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf__sup__distrib2 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf__sup__distrib2-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u1509) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1509), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1509), _u1510), _u1511)), _u1512) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1509), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1509), _u1510), _u1512)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1509), _u1511), _u1512))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_sup__inf__distrib1 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_sup__inf__distrib1-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u1513) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1513), _u1514), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1513), _u1515), _u1516)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1513), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1513), _u1514), _u1515)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1513), _u1514), _u1516))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf__sup__distrib1 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf__sup__distrib1-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u1517) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1517), _u1518), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1517), _u1519), _u1520)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1517), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1517), _u1518), _u1519)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1517), _u1518), _u1520))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_sup__inf__absorb ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_sup__inf__absorb-1, axiom, ( ~class_Lattices_Olattice(_u1521) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1521), _u1522), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1521), _u1522), _u1523)) = _u1522) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_inf__sup__absorb ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_inf__sup__absorb-1, axiom, ( ~class_Lattices_Olattice(_u1524) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1524), _u1525), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1524), _u1525), _u1526)) = _u1525) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Int__iff ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Int__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1531), _u1533), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1531, tc_HOL_Obool)), _u1535), _u1537))) | hBOOL(hAPP(hAPP(c_member(_u1531), _u1533), _u1535)) )).
% 19.49/19.67 cnf(fact_Int__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1531), _u1533), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1531, tc_HOL_Obool)), _u1535), _u1537))) | hBOOL(hAPP(hAPP(c_member(_u1531), _u1533), _u1537)) )).
% 19.49/19.67 cnf(fact_Int__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1532), _u1534), _u1536)) | ~hBOOL(hAPP(hAPP(c_member(_u1532), _u1534), _u1538)) | hBOOL(hAPP(hAPP(c_member(_u1532), _u1534), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1532, tc_HOL_Obool)), _u1536), _u1538))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_IntD1 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_IntD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1539), _u1540), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1539, tc_HOL_Obool)), _u1541), _u1542))) | hBOOL(hAPP(hAPP(c_member(_u1539), _u1540), _u1541)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_IntD2 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_IntD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1543), _u1544), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1543, tc_HOL_Obool)), _u1545), _u1546))) | hBOOL(hAPP(hAPP(c_member(_u1543), _u1544), _u1546)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_fold__empty ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_fold__empty-1, axiom, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u1547, _u1548, _u1549), _u1550), c_Orderings_Obot__class_Obot(tc_fun(_u1547, tc_HOL_Obool))) = _u1550) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Int__empty__left ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Int__empty__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1551, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u1551, tc_HOL_Obool))), _u1552) = c_Orderings_Obot__class_Obot(tc_fun(_u1551, tc_HOL_Obool))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Int__empty__right ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Int__empty__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1553, tc_HOL_Obool)), _u1554), c_Orderings_Obot__class_Obot(tc_fun(_u1553, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u1553, tc_HOL_Obool))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_disjoint__iff__not__equal ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_disjoint__iff__not__equal-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1562, tc_HOL_Obool)), _u1564), _u1566) != c_Orderings_Obot__class_Obot(tc_fun(_u1562, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u1562), _u1556), _u1564)) | ~hBOOL(hAPP(hAPP(c_member(_u1562), _u1555), _u1566)) | ( _u1556 != _u1555) )).
% 19.49/19.67 cnf(fact_disjoint__iff__not__equal-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1563, tc_HOL_Obool)), _u1565), _u1567) = c_Orderings_Obot__class_Obot(tc_fun(_u1563, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1563), skolem29(_u1567, _u1565, _u1563)), _u1565)) )).
% 19.49/19.67 cnf(fact_disjoint__iff__not__equal-3, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1563, tc_HOL_Obool)), _u1565), _u1567) = c_Orderings_Obot__class_Obot(tc_fun(_u1563, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1563), skolem30(_u1567, _u1565, _u1563)), _u1567)) )).
% 19.49/19.67 cnf(fact_disjoint__iff__not__equal-4, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1563, tc_HOL_Obool)), _u1565), _u1567) = c_Orderings_Obot__class_Obot(tc_fun(_u1563, tc_HOL_Obool))) | ( skolem29(_u1567, _u1565, _u1563) = skolem30(_u1567, _u1565, _u1563)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_insert__inter__insert ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_insert__inter__insert-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1568, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1568), _u1569), _u1570)), hAPP(hAPP(c_Set_Oinsert(_u1568), _u1569), _u1571)) = hAPP(hAPP(c_Set_Oinsert(_u1568), _u1569), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1568, tc_HOL_Obool)), _u1570), _u1571))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Sup__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Sup__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Lattices_Olattice(_u1572) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1572), _u1573)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1572, hAPP(hAPP(c_Set_Oinsert(_u1572), _u1574), _u1573)) = hAPP(hAPP(c_Finite__Set_Ofold(_u1572, _u1572, c_Lattices_Osemilattice__sup__class_Osup(_u1572)), _u1574), _u1573)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Int__lower1 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Int__lower1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1575, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1575, tc_HOL_Obool)), _u1576), _u1577)), _u1576)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Int__lower2 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Int__lower2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1578, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1578, tc_HOL_Obool)), _u1579), _u1580)), _u1580)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Int__absorb2 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Int__absorb2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1581, tc_HOL_Obool)), _u1582), _u1583)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1581, tc_HOL_Obool)), _u1582), _u1583) = _u1582) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Int__absorb1 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Int__absorb1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1584, tc_HOL_Obool)), _u1585), _u1586)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1584, tc_HOL_Obool)), _u1586), _u1585) = _u1585) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Int__greatest ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Int__greatest-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1587, tc_HOL_Obool)), _u1588), _u1589)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1587, tc_HOL_Obool)), _u1588), _u1590)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1587, tc_HOL_Obool)), _u1588), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1587, tc_HOL_Obool)), _u1589), _u1590))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Int__mono ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Int__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1591, tc_HOL_Obool)), _u1592), _u1593)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1591, tc_HOL_Obool)), _u1594), _u1595)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1591, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1591, tc_HOL_Obool)), _u1592), _u1594)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1591, tc_HOL_Obool)), _u1593), _u1595))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Int__Un__distrib ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Int__Un__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1596, tc_HOL_Obool)), _u1597), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1596, tc_HOL_Obool)), _u1598), _u1599)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1596, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1596, tc_HOL_Obool)), _u1597), _u1598)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1596, tc_HOL_Obool)), _u1597), _u1599))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Un__Int__distrib ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Un__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1600, tc_HOL_Obool)), _u1601), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1600, tc_HOL_Obool)), _u1602), _u1603)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1600, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1600, tc_HOL_Obool)), _u1601), _u1602)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1600, tc_HOL_Obool)), _u1601), _u1603))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Int__Un__distrib2 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Int__Un__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1604, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1604, tc_HOL_Obool)), _u1605), _u1606)), _u1607) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1604, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1604, tc_HOL_Obool)), _u1605), _u1607)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1604, tc_HOL_Obool)), _u1606), _u1607))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Un__Int__distrib2 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Un__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1608, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1608, tc_HOL_Obool)), _u1609), _u1610)), _u1611) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1608, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1608, tc_HOL_Obool)), _u1609), _u1611)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1608, tc_HOL_Obool)), _u1610), _u1611))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Un__Int__crazy ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Un__Int__crazy-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1612, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1612, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1612, tc_HOL_Obool)), _u1613), _u1614)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1612, tc_HOL_Obool)), _u1614), _u1615))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1612, tc_HOL_Obool)), _u1615), _u1613)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1612, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1612, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1612, tc_HOL_Obool)), _u1613), _u1614)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1612, tc_HOL_Obool)), _u1614), _u1615))), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1612, tc_HOL_Obool)), _u1615), _u1613))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Diff__Int__distrib ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Diff__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1616, tc_HOL_Obool)), _u1617), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1616, tc_HOL_Obool)), _u1618), _u1619)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1616, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1616, tc_HOL_Obool)), _u1617), _u1618)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1616, tc_HOL_Obool)), _u1617), _u1619))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Int__Diff ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Int__Diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1620, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1620, tc_HOL_Obool)), _u1621), _u1622)), _u1623) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1620, tc_HOL_Obool)), _u1621), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1620, tc_HOL_Obool)), _u1622), _u1623))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Diff__Int__distrib2 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Diff__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1624, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1624, tc_HOL_Obool)), _u1625), _u1626)), _u1627) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1624, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1624, tc_HOL_Obool)), _u1625), _u1627)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1624, tc_HOL_Obool)), _u1626), _u1627))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Diff__Int2 ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Diff__Int2-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1628, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1628, tc_HOL_Obool)), _u1629), _u1630)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1628, tc_HOL_Obool)), _u1631), _u1630)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1628, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1628, tc_HOL_Obool)), _u1629), _u1630)), _u1631)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_fun__left__comm__idem__inf ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_fun__left__comm__idem__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1632) | c_Finite__Set_Ofun__left__comm__idem(_u1632, _u1632, c_Lattices_Osemilattice__inf__class_Oinf(_u1632)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Sup__fin_Osingleton ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Sup__fin_Osingleton-1, axiom, ( ~class_Lattices_Olattice(_u1633) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1633, hAPP(hAPP(c_Set_Oinsert(_u1633), _u1634), c_Orderings_Obot__class_Obot(tc_fun(_u1633, tc_HOL_Obool)))) = _u1634) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Sup__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Sup__fin_Oeq__fold_H-1, axiom, ( ~class_Lattices_Olattice(_u1635) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1635), _u1636)) | hBOOL(hAPP(hAPP(c_member(_u1635), _u1637), _u1636)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1635, hAPP(hAPP(c_Set_Oinsert(_u1635), _u1637), _u1636)) = hAPP(hAPP(c_Finite__Set_Ofold(_u1635, _u1635, c_Lattices_Osemilattice__sup__class_Osup(_u1635)), _u1637), _u1636)) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Sup__fin_Ounion__inter ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Sup__fin_Ounion__inter-1, axiom, ( ~class_Lattices_Olattice(_u1638) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1638), _u1639)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1638), _u1640)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1638, tc_HOL_Obool)), _u1639), _u1640) = c_Orderings_Obot__class_Obot(tc_fun(_u1638, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1638), c_Big__Operators_Olattice__class_OSup__fin(_u1638, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1638, tc_HOL_Obool)), _u1639), _u1640))), c_Big__Operators_Olattice__class_OSup__fin(_u1638, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1638, tc_HOL_Obool)), _u1639), _u1640))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1638), c_Big__Operators_Olattice__class_OSup__fin(_u1638, _u1639)), c_Big__Operators_Olattice__class_OSup__fin(_u1638, _u1640))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_Sup__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_Sup__fin_Ounion__disjoint-1, axiom, ( ~class_Lattices_Olattice(_u1641) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1641), _u1642)) | ( _u1642 = c_Orderings_Obot__class_Obot(tc_fun(_u1641, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1641), _u1643)) | ( _u1643 = c_Orderings_Obot__class_Obot(tc_fun(_u1641, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1641, tc_HOL_Obool)), _u1642), _u1643) != c_Orderings_Obot__class_Obot(tc_fun(_u1641, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1641, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1641, tc_HOL_Obool)), _u1642), _u1643)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1641), c_Big__Operators_Olattice__class_OSup__fin(_u1641, _u1642)), c_Big__Operators_Olattice__class_OSup__fin(_u1641, _u1643))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_distrib__inf__le ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_distrib__inf__le-1, axiom, ( ~class_Lattices_Olattice(_u1644) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1644), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1644), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1644), _u1645), _u1646)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1644), _u1645), _u1647))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1644), _u1645), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1644), _u1646), _u1647)))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_distrib__sup__le ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_distrib__sup__le-1, axiom, ( ~class_Lattices_Olattice(_u1648) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1648), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1648), _u1649), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1648), _u1650), _u1651))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1648), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1648), _u1649), _u1650)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1648), _u1649), _u1651)))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_card__insert__le ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_card__insert__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1652), _u1653)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u1652), _u1653)), hAPP(c_Finite__Set_Ocard(_u1652), hAPP(hAPP(c_Set_Oinsert(_u1652), _u1654), _u1653)))) )).
% 19.49/19.67
% 19.49/19.67 % Formula: fact_card__seteq ( axiom ) converted to clauses:
% 19.49/19.67 cnf(fact_card__seteq-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1655), _u1656)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1655, tc_HOL_Obool)), _u1657), _u1656)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u1655), _u1656)), hAPP(c_Finite__Set_Ocard(_u1655), _u1657))) | ( _u1657 = _u1656) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_card__mono ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_card__mono-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1658), _u1659)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1658, tc_HOL_Obool)), _u1660), _u1659)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u1658), _u1660)), hAPP(c_Finite__Set_Ocard(_u1658), _u1659))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__card__le__card__Diff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__card__le__card__Diff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1661), _u1662)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u1661), _u1663)), hAPP(c_Finite__Set_Ocard(_u1661), _u1662))), hAPP(c_Finite__Set_Ocard(_u1661), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1661, tc_HOL_Obool)), _u1663), _u1662)))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_fold__sup__insert ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_fold__sup__insert-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1664) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1664), _u1665)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u1664, _u1664, c_Lattices_Osemilattice__sup__class_Osup(_u1664)), _u1666), hAPP(hAPP(c_Set_Oinsert(_u1664), _u1667), _u1665)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1664), _u1667), hAPP(hAPP(c_Finite__Set_Ofold(_u1664, _u1664, c_Lattices_Osemilattice__sup__class_Osup(_u1664)), _u1666), _u1665))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Int__insert__left__if1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Int__insert__left__if1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1668), _u1669), _u1670)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1668, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1668), _u1669), _u1671)), _u1670) = hAPP(hAPP(c_Set_Oinsert(_u1668), _u1669), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1668, tc_HOL_Obool)), _u1671), _u1670))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Int__insert__right__if1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Int__insert__right__if1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1672), _u1673), _u1674)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1672, tc_HOL_Obool)), _u1674), hAPP(hAPP(c_Set_Oinsert(_u1672), _u1673), _u1675)) = hAPP(hAPP(c_Set_Oinsert(_u1672), _u1673), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1672, tc_HOL_Obool)), _u1674), _u1675))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Int__insert__left__if0 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Int__insert__left__if0-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1676), _u1677), _u1678)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1676, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1676), _u1677), _u1679)), _u1678) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1676, tc_HOL_Obool)), _u1679), _u1678)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Int__insert__right__if0 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Int__insert__right__if0-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1680), _u1681), _u1682)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1680, tc_HOL_Obool)), _u1682), hAPP(hAPP(c_Set_Oinsert(_u1680), _u1681), _u1683)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1680, tc_HOL_Obool)), _u1682), _u1683)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Int__insert__left ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Int__insert__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1688), _u1690), _u1692)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1688, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1688), _u1690), _u1694)), _u1692) = hAPP(hAPP(c_Set_Oinsert(_u1688), _u1690), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1688, tc_HOL_Obool)), _u1694), _u1692))) )).
% 19.49/19.68 cnf(fact_Int__insert__left-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1689), _u1691), _u1693)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1689, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1689), _u1691), _u1695)), _u1693) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1689, tc_HOL_Obool)), _u1695), _u1693)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Int__insert__right ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Int__insert__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1700), _u1702), _u1704)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1700, tc_HOL_Obool)), _u1704), hAPP(hAPP(c_Set_Oinsert(_u1700), _u1702), _u1706)) = hAPP(hAPP(c_Set_Oinsert(_u1700), _u1702), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1700, tc_HOL_Obool)), _u1704), _u1706))) )).
% 19.49/19.68 cnf(fact_Int__insert__right-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1701), _u1703), _u1705)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1701, tc_HOL_Obool)), _u1705), hAPP(hAPP(c_Set_Oinsert(_u1701), _u1703), _u1707)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1701, tc_HOL_Obool)), _u1705), _u1707)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Diff__triv ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Diff__triv-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1708, tc_HOL_Obool)), _u1709), _u1710) != c_Orderings_Obot__class_Obot(tc_fun(_u1708, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1708, tc_HOL_Obool)), _u1709), _u1710) = _u1709) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Diff__disjoint ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Diff__disjoint-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1711, tc_HOL_Obool)), _u1712), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1711, tc_HOL_Obool)), _u1713), _u1712)) = c_Orderings_Obot__class_Obot(tc_fun(_u1711, tc_HOL_Obool))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Un__Int__assoc__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Un__Int__assoc__eq-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1718, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1718, tc_HOL_Obool)), _u1720), _u1722)), _u1724) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1718, tc_HOL_Obool)), _u1720), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1718, tc_HOL_Obool)), _u1722), _u1724))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1718, tc_HOL_Obool)), _u1724), _u1720)) )).
% 19.49/19.68 cnf(fact_Un__Int__assoc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1719, tc_HOL_Obool)), _u1725), _u1721)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1719, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1719, tc_HOL_Obool)), _u1721), _u1723)), _u1725) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1719, tc_HOL_Obool)), _u1721), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1719, tc_HOL_Obool)), _u1723), _u1725))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_psubset__card__mono ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_psubset__card__mono-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1726), _u1727)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1726, tc_HOL_Obool)), _u1728), _u1727)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u1726), _u1728)), hAPP(c_Finite__Set_Ocard(_u1726), _u1727))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Diff__Int ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Diff__Int-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1729, tc_HOL_Obool)), _u1730), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1729, tc_HOL_Obool)), _u1731), _u1732)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1729, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1729, tc_HOL_Obool)), _u1730), _u1731)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1729, tc_HOL_Obool)), _u1730), _u1732))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Diff__Un ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Diff__Un-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1733, tc_HOL_Obool)), _u1734), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1733, tc_HOL_Obool)), _u1735), _u1736)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1733, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1733, tc_HOL_Obool)), _u1734), _u1735)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1733, tc_HOL_Obool)), _u1734), _u1736))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Un__Diff__Int ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Un__Diff__Int-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1737, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1737, tc_HOL_Obool)), _u1738), _u1739)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1737, tc_HOL_Obool)), _u1738), _u1739)) = _u1738) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Sup__fin_Oin__idem ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Sup__fin_Oin__idem-1, axiom, ( ~class_Lattices_Olattice(_u1740) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1740), _u1741)) | ~hBOOL(hAPP(hAPP(c_member(_u1740), _u1742), _u1741)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1740), _u1742), c_Big__Operators_Olattice__class_OSup__fin(_u1740, _u1741)) = c_Big__Operators_Olattice__class_OSup__fin(_u1740, _u1741)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Sup__fin_OF__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Sup__fin_OF__eq-1, axiom, ( ~class_Lattices_Olattice(_u1743) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1743), _u1744)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1743, _u1744) = hAPP(c_Finite__Set_Ofold1(_u1743, c_Lattices_Osemilattice__sup__class_Osup(_u1743)), _u1744)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_sup__le__fold__sup ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_sup__le__fold__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1745) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1745), _u1746)) | ~hBOOL(hAPP(hAPP(c_member(_u1745), _u1747), _u1746)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1745), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1745), _u1747), _u1748)), hAPP(hAPP(c_Finite__Set_Ofold(_u1745, _u1745, c_Lattices_Osemilattice__sup__class_Osup(_u1745)), _u1748), _u1746))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_fold1__belowI ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_fold1__belowI-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1749) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1749), _u1750)) | ~hBOOL(hAPP(hAPP(c_member(_u1749), _u1751), _u1750)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1749), hAPP(c_Finite__Set_Ofold1(_u1749, c_Lattices_Osemilattice__inf__class_Oinf(_u1749)), _u1750)), _u1751)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_below__fold1__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_below__fold1__iff-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u1754) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1754), _u1755)) | ( _u1755 = c_Orderings_Obot__class_Obot(tc_fun(_u1754, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1754), _u1756), hAPP(c_Finite__Set_Ofold1(_u1754, c_Lattices_Osemilattice__inf__class_Oinf(_u1754)), _u1755))) | ~hBOOL(hAPP(hAPP(c_member(_u1754), _u1752), _u1755)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1754), _u1756), _u1752)) )).
% 19.49/19.68 cnf(fact_below__fold1__iff-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u1754) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1754), _u1755)) | ( _u1755 = c_Orderings_Obot__class_Obot(tc_fun(_u1754, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1754), _u1756), hAPP(c_Finite__Set_Ofold1(_u1754, c_Lattices_Osemilattice__inf__class_Oinf(_u1754)), _u1755))) | hBOOL(hAPP(hAPP(c_member(_u1754), skolem31(_u1756, _u1755, _u1754)), _u1755)) )).
% 19.49/19.68 cnf(fact_below__fold1__iff-3, axiom, ( ~class_Lattices_Osemilattice__inf(_u1754) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1754), _u1755)) | ( _u1755 = c_Orderings_Obot__class_Obot(tc_fun(_u1754, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1754), _u1756), hAPP(c_Finite__Set_Ofold1(_u1754, c_Lattices_Osemilattice__inf__class_Oinf(_u1754)), _u1755))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1754), _u1756), skolem31(_u1756, _u1755, _u1754))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_card__Diff__subset ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_card__Diff__subset-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1757), _u1758)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1757, tc_HOL_Obool)), _u1758), _u1759)) | ( hAPP(c_Finite__Set_Ocard(_u1757), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1757, tc_HOL_Obool)), _u1759), _u1758)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u1757), _u1759)), hAPP(c_Finite__Set_Ocard(_u1757), _u1758))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_union__fold__insert ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_union__fold__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1760), _u1761)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1760, tc_HOL_Obool)), _u1761), _u1762) = hAPP(hAPP(c_Finite__Set_Ofold(_u1760, tc_fun(_u1760, tc_HOL_Obool), c_Set_Oinsert(_u1760)), _u1762), _u1761)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_card__psubset ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_card__psubset-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1763), _u1764)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1763, tc_HOL_Obool)), _u1765), _u1764)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u1763), _u1765)), hAPP(c_Finite__Set_Ocard(_u1763), _u1764))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1763, tc_HOL_Obool)), _u1765), _u1764)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Sup__fin_Oinsert__idem ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Sup__fin_Oinsert__idem-1, axiom, ( ~class_Lattices_Olattice(_u1766) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1766), _u1767)) | ( _u1767 = c_Orderings_Obot__class_Obot(tc_fun(_u1766, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1766, hAPP(hAPP(c_Set_Oinsert(_u1766), _u1768), _u1767)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1766), _u1768), c_Big__Operators_Olattice__class_OSup__fin(_u1766, _u1767))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Sup__fin_Osubset__idem ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Sup__fin_Osubset__idem-1, axiom, ( ~class_Lattices_Olattice(_u1769) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1769), _u1770)) | ( _u1771 = c_Orderings_Obot__class_Obot(tc_fun(_u1769, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1769, tc_HOL_Obool)), _u1771), _u1770)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1769), c_Big__Operators_Olattice__class_OSup__fin(_u1769, _u1771)), c_Big__Operators_Olattice__class_OSup__fin(_u1769, _u1770)) = c_Big__Operators_Olattice__class_OSup__fin(_u1769, _u1770)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Sup__fin_Ounion__idem ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Sup__fin_Ounion__idem-1, axiom, ( ~class_Lattices_Olattice(_u1772) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1772), _u1773)) | ( _u1773 = c_Orderings_Obot__class_Obot(tc_fun(_u1772, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1772), _u1774)) | ( _u1774 = c_Orderings_Obot__class_Obot(tc_fun(_u1772, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1772, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1772, tc_HOL_Obool)), _u1773), _u1774)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1772), c_Big__Operators_Olattice__class_OSup__fin(_u1772, _u1773)), c_Big__Operators_Olattice__class_OSup__fin(_u1772, _u1774))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_fun__left__comm__idem_Ofold__insert__idem ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_fun__left__comm__idem_Ofold__insert__idem-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u1775, _u1776, _u1777) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1775), _u1778)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u1775, _u1776, _u1777), _u1779), hAPP(hAPP(c_Set_Oinsert(_u1775), _u1780), _u1778)) = hAPP(hAPP(_u1777, _u1780), hAPP(hAPP(c_Finite__Set_Ofold(_u1775, _u1776, _u1777), _u1779), _u1778))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_fun__left__comm__idem_Ofold__insert__idem2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_fun__left__comm__idem_Ofold__insert__idem2-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u1781, _u1782, _u1783) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1781), _u1784)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u1781, _u1782, _u1783), _u1785), hAPP(hAPP(c_Set_Oinsert(_u1781), _u1786), _u1784)) = hAPP(hAPP(c_Finite__Set_Ofold(_u1781, _u1782, _u1783), hAPP(hAPP(_u1783, _u1786), _u1785)), _u1784)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Sup__fin_Oidem ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Sup__fin_Oidem-1, axiom, ( ~class_Lattices_Olattice(_u1787) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1787), _u1788), _u1788) = _u1788) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_folding__one__idem_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_folding__one__idem_Oeq__fold__idem_H-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u1789, _u1790, _u1791) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1789), _u1792)) | ( hAPP(_u1791, hAPP(hAPP(c_Set_Oinsert(_u1789), _u1793), _u1792)) = hAPP(hAPP(c_Finite__Set_Ofold(_u1789, _u1789, _u1790), _u1793), _u1792)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_folding__image__simple_Ounion__inter ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_folding__image__simple_Ounion__inter-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1795), _u1800)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1795), _u1801)) | ( hAPP(hAPP(_u1796, hAPP(_u1799, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1795, tc_HOL_Obool)), _u1800), _u1801))), hAPP(_u1799, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1795, tc_HOL_Obool)), _u1800), _u1801))) = hAPP(hAPP(_u1796, hAPP(_u1799, _u1800)), hAPP(_u1799, _u1801))) | ~c_Finite__Set_Ofolding__image__simple(_u1794, _u1795, _u1796, _u1797, _u1798, _u1799) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_card__Diff1__le ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_card__Diff1__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1802), _u1803)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u1802), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1802, tc_HOL_Obool)), _u1803), hAPP(hAPP(c_Set_Oinsert(_u1802), _u1804), c_Orderings_Obot__class_Obot(tc_fun(_u1802, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u1802), _u1803))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Sup__fin_Oinsert ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Sup__fin_Oinsert-1, axiom, ( ~class_Lattices_Olattice(_u1805) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1805), _u1806)) | hBOOL(hAPP(hAPP(c_member(_u1805), _u1807), _u1806)) | ( _u1806 = c_Orderings_Obot__class_Obot(tc_fun(_u1805, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1805, hAPP(hAPP(c_Set_Oinsert(_u1805), _u1807), _u1806)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1805), _u1807), c_Big__Operators_Olattice__class_OSup__fin(_u1805, _u1806))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Sup__fin_Oinsert__remove ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Sup__fin_Oinsert__remove-1, axiom, ( ~class_Lattices_Olattice(_u1808) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1808), _u1809)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1808, tc_HOL_Obool)), _u1809), hAPP(hAPP(c_Set_Oinsert(_u1808), _u1810), c_Orderings_Obot__class_Obot(tc_fun(_u1808, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u1808, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1808, hAPP(hAPP(c_Set_Oinsert(_u1808), _u1810), _u1809)) = _u1810) )).
% 19.49/19.68 cnf(fact_Sup__fin_Oinsert__remove-2, axiom, ( ~class_Lattices_Olattice(_u1808) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1808), _u1809)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1808, tc_HOL_Obool)), _u1809), hAPP(hAPP(c_Set_Oinsert(_u1808), _u1810), c_Orderings_Obot__class_Obot(tc_fun(_u1808, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u1808, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1808, hAPP(hAPP(c_Set_Oinsert(_u1808), _u1810), _u1809)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1808), _u1810), c_Big__Operators_Olattice__class_OSup__fin(_u1808, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1808, tc_HOL_Obool)), _u1809), hAPP(hAPP(c_Set_Oinsert(_u1808), _u1810), c_Orderings_Obot__class_Obot(tc_fun(_u1808, tc_HOL_Obool))))))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_fold1__eq__fold__idem ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_fold1__eq__fold__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u1811) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1811), _u1812)) | ( hAPP(c_Finite__Set_Ofold1(_u1811, c_Groups_Otimes__class_Otimes(_u1811)), hAPP(hAPP(c_Set_Oinsert(_u1811), _u1813), _u1812)) = hAPP(hAPP(c_Finite__Set_Ofold(_u1811, _u1811, c_Groups_Otimes__class_Otimes(_u1811)), _u1813), _u1812)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_folding__one_Oeq__fold_H ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_folding__one_Oeq__fold_H-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u1814, _u1815, _u1816) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1814), _u1817)) | hBOOL(hAPP(hAPP(c_member(_u1814), _u1818), _u1817)) | ( hAPP(_u1816, hAPP(hAPP(c_Set_Oinsert(_u1814), _u1818), _u1817)) = hAPP(hAPP(c_Finite__Set_Ofold(_u1814, _u1814, _u1815), _u1818), _u1817)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_folding__image__simple_Ounion__disjoint ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_folding__image__simple_Ounion__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1820), _u1825)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1820), _u1826)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1820, tc_HOL_Obool)), _u1825), _u1826) != c_Orderings_Obot__class_Obot(tc_fun(_u1820, tc_HOL_Obool))) | ( hAPP(_u1824, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1820, tc_HOL_Obool)), _u1825), _u1826)) = hAPP(hAPP(_u1821, hAPP(_u1824, _u1825)), hAPP(_u1824, _u1826))) | ~c_Finite__Set_Ofolding__image__simple(_u1819, _u1820, _u1821, _u1822, _u1823, _u1824) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_folding__one_Ounion__disjoint ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_folding__one_Ounion__disjoint-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u1827, _u1828, _u1829) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1827), _u1830)) | ( _u1830 = c_Orderings_Obot__class_Obot(tc_fun(_u1827, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1827), _u1831)) | ( _u1831 = c_Orderings_Obot__class_Obot(tc_fun(_u1827, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1827, tc_HOL_Obool)), _u1830), _u1831) != c_Orderings_Obot__class_Obot(tc_fun(_u1827, tc_HOL_Obool))) | ( hAPP(_u1829, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1827, tc_HOL_Obool)), _u1830), _u1831)) = hAPP(hAPP(_u1828, hAPP(_u1829, _u1830)), hAPP(_u1829, _u1831))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_folding__one_Ounion__inter ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_folding__one_Ounion__inter-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u1832, _u1833, _u1834) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1832), _u1835)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1832), _u1836)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1832, tc_HOL_Obool)), _u1835), _u1836) = c_Orderings_Obot__class_Obot(tc_fun(_u1832, tc_HOL_Obool))) | ( hAPP(hAPP(_u1833, hAPP(_u1834, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1832, tc_HOL_Obool)), _u1835), _u1836))), hAPP(_u1834, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1832, tc_HOL_Obool)), _u1835), _u1836))) = hAPP(hAPP(_u1833, hAPP(_u1834, _u1835)), hAPP(_u1834, _u1836))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_semilattice__big_OF__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_semilattice__big_OF__eq-1, axiom, ( ~c_Big__Operators_Osemilattice__big(_u1837, _u1838, _u1839) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1837), _u1840)) | ( hAPP(_u1839, _u1840) = hAPP(c_Finite__Set_Ofold1(_u1837, _u1838), _u1840)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_fun__left__comm_Ofold__rec ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_fun__left__comm_Ofold__rec-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u1841, _u1842, _u1843) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1841), _u1844)) | ~hBOOL(hAPP(hAPP(c_member(_u1841), _u1845), _u1844)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u1841, _u1842, _u1843), _u1846), _u1844) = hAPP(hAPP(_u1843, _u1845), hAPP(hAPP(c_Finite__Set_Ofold(_u1841, _u1842, _u1843), _u1846), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1841, tc_HOL_Obool)), _u1844), hAPP(hAPP(c_Set_Oinsert(_u1841), _u1845), c_Orderings_Obot__class_Obot(tc_fun(_u1841, tc_HOL_Obool))))))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_fun__left__comm_Ofold__insert__remove ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_fun__left__comm_Ofold__insert__remove-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u1847, _u1848, _u1849) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1847), _u1850)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u1847, _u1848, _u1849), _u1851), hAPP(hAPP(c_Set_Oinsert(_u1847), _u1852), _u1850)) = hAPP(hAPP(_u1849, _u1852), hAPP(hAPP(c_Finite__Set_Ofold(_u1847, _u1848, _u1849), _u1851), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1847, tc_HOL_Obool)), _u1850), hAPP(hAPP(c_Set_Oinsert(_u1847), _u1852), c_Orderings_Obot__class_Obot(tc_fun(_u1847, tc_HOL_Obool))))))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Sup__fin_Oclosed ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Sup__fin_Oclosed-1, axiom, ( ~class_Lattices_Olattice(_u1855) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1855), _u1856)) | ( _u1856 = c_Orderings_Obot__class_Obot(tc_fun(_u1855, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u1855), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1855), skolem32(_u1856, _u1855)), skolem33(_u1856, _u1855))), hAPP(hAPP(c_Set_Oinsert(_u1855), skolem32(_u1856, _u1855)), hAPP(hAPP(c_Set_Oinsert(_u1855), skolem33(_u1856, _u1855)), c_Orderings_Obot__class_Obot(tc_fun(_u1855, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u1855), c_Big__Operators_Olattice__class_OSup__fin(_u1855, _u1856)), _u1856)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Inf__fin_Oremove ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Inf__fin_Oremove-1, axiom, ( ~class_Lattices_Olattice(_u1857) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1857), _u1858)) | ~hBOOL(hAPP(hAPP(c_member(_u1857), _u1859), _u1858)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1857, tc_HOL_Obool)), _u1858), hAPP(hAPP(c_Set_Oinsert(_u1857), _u1859), c_Orderings_Obot__class_Obot(tc_fun(_u1857, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u1857, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1857, _u1858) = _u1859) )).
% 19.49/19.68 cnf(fact_Inf__fin_Oremove-2, axiom, ( ~class_Lattices_Olattice(_u1857) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1857), _u1858)) | ~hBOOL(hAPP(hAPP(c_member(_u1857), _u1859), _u1858)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1857, tc_HOL_Obool)), _u1858), hAPP(hAPP(c_Set_Oinsert(_u1857), _u1859), c_Orderings_Obot__class_Obot(tc_fun(_u1857, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u1857, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1857, _u1858) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1857), _u1859), c_Big__Operators_Olattice__class_OInf__fin(_u1857, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1857, tc_HOL_Obool)), _u1858), hAPP(hAPP(c_Set_Oinsert(_u1857), _u1859), c_Orderings_Obot__class_Obot(tc_fun(_u1857, tc_HOL_Obool))))))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_fun__left__comm_Ofold__insert ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_fun__left__comm_Ofold__insert-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u1860, _u1861, _u1862) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1860), _u1863)) | hBOOL(hAPP(hAPP(c_member(_u1860), _u1864), _u1863)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u1860, _u1861, _u1862), _u1865), hAPP(hAPP(c_Set_Oinsert(_u1860), _u1864), _u1863)) = hAPP(hAPP(_u1862, _u1864), hAPP(hAPP(c_Finite__Set_Ofold(_u1860, _u1861, _u1862), _u1865), _u1863))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_fun__left__comm_Ofold__insert2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_fun__left__comm_Ofold__insert2-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u1866, _u1867, _u1868) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1866), _u1869)) | hBOOL(hAPP(hAPP(c_member(_u1866), _u1870), _u1869)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u1866, _u1867, _u1868), _u1871), hAPP(hAPP(c_Set_Oinsert(_u1866), _u1870), _u1869)) = hAPP(hAPP(c_Finite__Set_Ofold(_u1866, _u1867, _u1868), hAPP(hAPP(_u1868, _u1870), _u1871)), _u1869)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_card__Diff__singleton__if ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_card__Diff__singleton__if-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1872), _u1873)) | ~hBOOL(hAPP(hAPP(c_member(_u1872), _u1874), _u1873)) | ( hAPP(c_Finite__Set_Ocard(_u1872), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1872, tc_HOL_Obool)), _u1873), hAPP(hAPP(c_Set_Oinsert(_u1872), _u1874), c_Orderings_Obot__class_Obot(tc_fun(_u1872, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u1872), _u1873)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 19.49/19.68 cnf(fact_card__Diff__singleton__if-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1872), _u1873)) | hBOOL(hAPP(hAPP(c_member(_u1872), _u1874), _u1873)) | ( hAPP(c_Finite__Set_Ocard(_u1872), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1872, tc_HOL_Obool)), _u1873), hAPP(hAPP(c_Set_Oinsert(_u1872), _u1874), c_Orderings_Obot__class_Obot(tc_fun(_u1872, tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(_u1872), _u1873)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_card__Diff__singleton ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_card__Diff__singleton-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1875), _u1876)) | ~hBOOL(hAPP(hAPP(c_member(_u1875), _u1877), _u1876)) | ( hAPP(c_Finite__Set_Ocard(_u1875), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1875, tc_HOL_Obool)), _u1876), hAPP(hAPP(c_Set_Oinsert(_u1875), _u1877), c_Orderings_Obot__class_Obot(tc_fun(_u1875, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u1875), _u1876)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_card__Suc__Diff1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_card__Suc__Diff1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1878), _u1879)) | ~hBOOL(hAPP(hAPP(c_member(_u1878), _u1880), _u1879)) | ( hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u1878), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1878, tc_HOL_Obool)), _u1879), hAPP(hAPP(c_Set_Oinsert(_u1878), _u1880), c_Orderings_Obot__class_Obot(tc_fun(_u1878, tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(_u1878), _u1879)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_one__reorient ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_one__reorient-1, axiom, ( ~class_Groups_Oone(_u1881) | ( c_Groups_Oone__class_Oone(_u1881) != _u1882) | ( _u1882 = c_Groups_Oone__class_Oone(_u1881)) )).
% 19.49/19.68 cnf(fact_one__reorient-2, axiom, ( ~class_Groups_Oone(_u1881) | ( _u1882 != c_Groups_Oone__class_Oone(_u1881)) | ( c_Groups_Oone__class_Oone(_u1881) = _u1882) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_fun__left__comm_Ofun__left__comm ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_fun__left__comm_Ofun__left__comm-1, axiom, ( ( hAPP(hAPP(_u1885, _u1886), hAPP(hAPP(_u1885, _u1887), _u1888)) = hAPP(hAPP(_u1885, _u1887), hAPP(hAPP(_u1885, _u1886), _u1888))) | ~c_Finite__Set_Ofun__left__comm(_u1883, _u1884, _u1885) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult_Ocomm__neutral ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult_Ocomm__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u1889) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1889), _u1890), c_Groups_Oone__class_Oone(_u1889)) = _u1890) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__1__right ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__1__right-1, axiom, ( ~class_Groups_Omonoid__mult(_u1891) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1891), _u1892), c_Groups_Oone__class_Oone(_u1891)) = _u1892) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u1893) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1893), c_Groups_Oone__class_Oone(_u1893)), _u1894) = _u1894) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__1__left ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__1__left-1, axiom, ( ~class_Groups_Omonoid__mult(_u1895) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1895), c_Groups_Oone__class_Oone(_u1895)), _u1896) = _u1896) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_fun__left__comm ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_fun__left__comm-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u1897) | c_Finite__Set_Ofun__left__comm(_u1897, _u1897, c_Groups_Otimes__class_Otimes(_u1897)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_fun__left__comm_Ofold__graph__determ ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_fun__left__comm_Ofold__graph__determ-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u1898, _u1899, _u1900) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1898, _u1899, _u1900, _u1901, _u1902), _u1903)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1898, _u1899, _u1900, _u1901, _u1902), _u1904)) | ( _u1904 = _u1903) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Inf__fin_Osingleton ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Inf__fin_Osingleton-1, axiom, ( ~class_Lattices_Olattice(_u1905) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1905, hAPP(hAPP(c_Set_Oinsert(_u1905), _u1906), c_Orderings_Obot__class_Obot(tc_fun(_u1905, tc_HOL_Obool)))) = _u1906) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_fun__left__comm_Ofold__fun__comm ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_fun__left__comm_Ofold__fun__comm-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u1907, _u1908, _u1909) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1907), _u1910)) | ( hAPP(hAPP(_u1909, _u1911), hAPP(hAPP(c_Finite__Set_Ofold(_u1907, _u1908, _u1909), _u1912), _u1910)) = hAPP(hAPP(c_Finite__Set_Ofold(_u1907, _u1908, _u1909), hAPP(hAPP(_u1909, _u1911), _u1912)), _u1910)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_sup__Inf__absorb ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_sup__Inf__absorb-1, axiom, ( ~class_Lattices_Olattice(_u1913) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1913), _u1914)) | ~hBOOL(hAPP(hAPP(c_member(_u1913), _u1915), _u1914)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1913), _u1915), c_Big__Operators_Olattice__class_OInf__fin(_u1913, _u1914)) = _u1915) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Inf__fin_Oin__idem ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Inf__fin_Oin__idem-1, axiom, ( ~class_Lattices_Olattice(_u1916) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1916), _u1917)) | ~hBOOL(hAPP(hAPP(c_member(_u1916), _u1918), _u1917)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1916), _u1918), c_Big__Operators_Olattice__class_OInf__fin(_u1916, _u1917)) = c_Big__Operators_Olattice__class_OInf__fin(_u1916, _u1917)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_fun__left__comm_Ofold__equality ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_fun__left__comm_Ofold__equality-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u1919, _u1920, _u1921) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1919, _u1920, _u1921, _u1922, _u1923), _u1924)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u1919, _u1920, _u1921), _u1922), _u1923) = _u1924) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Inf__fin_OF__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Inf__fin_OF__eq-1, axiom, ( ~class_Lattices_Olattice(_u1925) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1925), _u1926)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1925, _u1926) = hAPP(c_Finite__Set_Ofold1(_u1925, c_Lattices_Osemilattice__inf__class_Oinf(_u1925)), _u1926)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_card__insert__disjoint ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_card__insert__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1927), _u1928)) | hBOOL(hAPP(hAPP(c_member(_u1927), _u1929), _u1928)) | ( hAPP(c_Finite__Set_Ocard(_u1927), hAPP(hAPP(c_Set_Oinsert(_u1927), _u1929), _u1928)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u1927), _u1928))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_card__insert__if ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_card__insert__if-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1930), _u1931)) | ~hBOOL(hAPP(hAPP(c_member(_u1930), _u1932), _u1931)) | ( hAPP(c_Finite__Set_Ocard(_u1930), hAPP(hAPP(c_Set_Oinsert(_u1930), _u1932), _u1931)) = hAPP(c_Finite__Set_Ocard(_u1930), _u1931)) )).
% 19.49/19.68 cnf(fact_card__insert__if-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1930), _u1931)) | hBOOL(hAPP(hAPP(c_member(_u1930), _u1932), _u1931)) | ( hAPP(c_Finite__Set_Ocard(_u1930), hAPP(hAPP(c_Set_Oinsert(_u1930), _u1932), _u1931)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u1930), _u1931))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Inf__fin_Oinsert__idem ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Inf__fin_Oinsert__idem-1, axiom, ( ~class_Lattices_Olattice(_u1933) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1933), _u1934)) | ( _u1934 = c_Orderings_Obot__class_Obot(tc_fun(_u1933, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1933, hAPP(hAPP(c_Set_Oinsert(_u1933), _u1935), _u1934)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1933), _u1935), c_Big__Operators_Olattice__class_OInf__fin(_u1933, _u1934))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Inf__fin_Osubset__idem ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Inf__fin_Osubset__idem-1, axiom, ( ~class_Lattices_Olattice(_u1936) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1936), _u1937)) | ( _u1938 = c_Orderings_Obot__class_Obot(tc_fun(_u1936, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1936, tc_HOL_Obool)), _u1938), _u1937)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1936), c_Big__Operators_Olattice__class_OInf__fin(_u1936, _u1938)), c_Big__Operators_Olattice__class_OInf__fin(_u1936, _u1937)) = c_Big__Operators_Olattice__class_OInf__fin(_u1936, _u1937)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Inf__fin_Ounion__idem ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Inf__fin_Ounion__idem-1, axiom, ( ~class_Lattices_Olattice(_u1939) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1939), _u1940)) | ( _u1940 = c_Orderings_Obot__class_Obot(tc_fun(_u1939, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1939), _u1941)) | ( _u1941 = c_Orderings_Obot__class_Obot(tc_fun(_u1939, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1939, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1939, tc_HOL_Obool)), _u1940), _u1941)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1939), c_Big__Operators_Olattice__class_OInf__fin(_u1939, _u1940)), c_Big__Operators_Olattice__class_OInf__fin(_u1939, _u1941))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Inf__le__Sup ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Inf__le__Sup-1, axiom, ( ~class_Lattices_Olattice(_u1942) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1942), _u1943)) | ( _u1943 = c_Orderings_Obot__class_Obot(tc_fun(_u1942, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1942), c_Big__Operators_Olattice__class_OInf__fin(_u1942, _u1943)), c_Big__Operators_Olattice__class_OSup__fin(_u1942, _u1943))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Inf__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Inf__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Lattices_Olattice(_u1944) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1944), _u1945)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1944, hAPP(hAPP(c_Set_Oinsert(_u1944), _u1946), _u1945)) = hAPP(hAPP(c_Finite__Set_Ofold(_u1944, _u1944, c_Lattices_Osemilattice__inf__class_Oinf(_u1944)), _u1946), _u1945)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_card__insert ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_card__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1947), _u1948)) | ( hAPP(c_Finite__Set_Ocard(_u1947), hAPP(hAPP(c_Set_Oinsert(_u1947), _u1949), _u1948)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u1947), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1947, tc_HOL_Obool)), _u1948), hAPP(hAPP(c_Set_Oinsert(_u1947), _u1949), c_Orderings_Obot__class_Obot(tc_fun(_u1947, tc_HOL_Obool))))))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_fun__left__comm_Ofold__graph__fold ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_fun__left__comm_Ofold__graph__fold-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u1950, _u1951, _u1952) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1950), _u1953)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1950, _u1951, _u1952, _u1954, _u1953), hAPP(hAPP(c_Finite__Set_Ofold(_u1950, _u1951, _u1952), _u1954), _u1953))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_card__Diff__insert ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_card__Diff__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1955), _u1956)) | ~hBOOL(hAPP(hAPP(c_member(_u1955), _u1957), _u1956)) | hBOOL(hAPP(hAPP(c_member(_u1955), _u1957), _u1958)) | ( hAPP(c_Finite__Set_Ocard(_u1955), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1955, tc_HOL_Obool)), _u1956), hAPP(hAPP(c_Set_Oinsert(_u1955), _u1957), _u1958))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u1955), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1955, tc_HOL_Obool)), _u1956), _u1958))), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Inf__fin_Oinsert ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Inf__fin_Oinsert-1, axiom, ( ~class_Lattices_Olattice(_u1959) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1959), _u1960)) | hBOOL(hAPP(hAPP(c_member(_u1959), _u1961), _u1960)) | ( _u1960 = c_Orderings_Obot__class_Obot(tc_fun(_u1959, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1959, hAPP(hAPP(c_Set_Oinsert(_u1959), _u1961), _u1960)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1959), _u1961), c_Big__Operators_Olattice__class_OInf__fin(_u1959, _u1960))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Inf__fin_Oinsert__remove ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Inf__fin_Oinsert__remove-1, axiom, ( ~class_Lattices_Olattice(_u1962) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1962), _u1963)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1962, tc_HOL_Obool)), _u1963), hAPP(hAPP(c_Set_Oinsert(_u1962), _u1964), c_Orderings_Obot__class_Obot(tc_fun(_u1962, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u1962, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1962, hAPP(hAPP(c_Set_Oinsert(_u1962), _u1964), _u1963)) = _u1964) )).
% 19.49/19.68 cnf(fact_Inf__fin_Oinsert__remove-2, axiom, ( ~class_Lattices_Olattice(_u1962) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1962), _u1963)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1962, tc_HOL_Obool)), _u1963), hAPP(hAPP(c_Set_Oinsert(_u1962), _u1964), c_Orderings_Obot__class_Obot(tc_fun(_u1962, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u1962, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1962, hAPP(hAPP(c_Set_Oinsert(_u1962), _u1964), _u1963)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1962), _u1964), c_Big__Operators_Olattice__class_OInf__fin(_u1962, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1962, tc_HOL_Obool)), _u1963), hAPP(hAPP(c_Set_Oinsert(_u1962), _u1964), c_Orderings_Obot__class_Obot(tc_fun(_u1962, tc_HOL_Obool))))))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Inf__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Inf__fin_Ounion__disjoint-1, axiom, ( ~class_Lattices_Olattice(_u1965) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1965), _u1966)) | ( _u1966 = c_Orderings_Obot__class_Obot(tc_fun(_u1965, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1965), _u1967)) | ( _u1967 = c_Orderings_Obot__class_Obot(tc_fun(_u1965, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1965, tc_HOL_Obool)), _u1966), _u1967) != c_Orderings_Obot__class_Obot(tc_fun(_u1965, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1965, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1965, tc_HOL_Obool)), _u1966), _u1967)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1965), c_Big__Operators_Olattice__class_OInf__fin(_u1965, _u1966)), c_Big__Operators_Olattice__class_OInf__fin(_u1965, _u1967))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Inf__fin_Ounion__inter ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Inf__fin_Ounion__inter-1, axiom, ( ~class_Lattices_Olattice(_u1968) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1968), _u1969)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1968), _u1970)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1968, tc_HOL_Obool)), _u1969), _u1970) = c_Orderings_Obot__class_Obot(tc_fun(_u1968, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1968), c_Big__Operators_Olattice__class_OInf__fin(_u1968, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1968, tc_HOL_Obool)), _u1969), _u1970))), c_Big__Operators_Olattice__class_OInf__fin(_u1968, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1968, tc_HOL_Obool)), _u1969), _u1970))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1968), c_Big__Operators_Olattice__class_OInf__fin(_u1968, _u1969)), c_Big__Operators_Olattice__class_OInf__fin(_u1968, _u1970))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Inf__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Inf__fin_Oeq__fold_H-1, axiom, ( ~class_Lattices_Olattice(_u1971) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1971), _u1972)) | hBOOL(hAPP(hAPP(c_member(_u1971), _u1973), _u1972)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1971, hAPP(hAPP(c_Set_Oinsert(_u1971), _u1973), _u1972)) = hAPP(hAPP(c_Finite__Set_Ofold(_u1971, _u1971, c_Lattices_Osemilattice__inf__class_Oinf(_u1971)), _u1973), _u1972)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_lessI ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_lessI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1974), hAPP(c_Nat_OSuc, _u1974))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Suc__mono ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Suc__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1975), _u1976)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1975)), hAPP(c_Nat_OSuc, _u1976))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__Suc__eq__diff__pred ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__Suc__eq__diff__pred-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1977), hAPP(c_Nat_OSuc, _u1978)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1977), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u1978)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__Suc__1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__Suc__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1979)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u1979) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__less__mono ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__less__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1980), _u1981)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1982), _u1980)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1980), _u1982)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1981), _u1982))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_less__diff__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_less__diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1983), _u1984)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1983), _u1985)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1984), _u1983)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1985), _u1983))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1984), _u1985)) )).
% 19.49/19.68 cnf(fact_less__diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1983), _u1984)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1983), _u1985)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1984), _u1985)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1984), _u1983)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1985), _u1983))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Suc__diff__le ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Suc__diff__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1986), _u1987)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1987)), _u1986) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1987), _u1986))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__less__Suc ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__less__Suc-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1988), _u1989)), hAPP(c_Nat_OSuc, _u1988))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_less__eq__Suc__le ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_less__eq__Suc__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1992), _u1994)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1992)), _u1994)) )).
% 19.49/19.68 cnf(fact_less__eq__Suc__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1993)), _u1995)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1993), _u1995)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_less__Suc__eq__le ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_less__Suc__eq__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1998), hAPP(c_Nat_OSuc, _u2000))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1998), _u2000)) )).
% 19.49/19.68 cnf(fact_less__Suc__eq__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1999), _u2001)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1999), hAPP(c_Nat_OSuc, _u2001))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Suc__mult__cancel1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Suc__mult__cancel1-1, axiom, ( ( _u2007 = _u2009) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2005)), _u2007) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2005)), _u2009)) )).
% 19.49/19.68 cnf(fact_Suc__mult__cancel1-2, axiom, ( ( _u2008 != _u2010) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2006)), _u2008) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2006)), _u2010)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Suc__inject ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Suc__inject-1, axiom, ( ( hAPP(c_Nat_OSuc, _u2011) != hAPP(c_Nat_OSuc, _u2012)) | ( _u2011 = _u2012) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nat_Oinject ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nat_Oinject-1, axiom, ( ( hAPP(c_Nat_OSuc, _u2015) != hAPP(c_Nat_OSuc, _u2017)) | ( _u2015 = _u2017) )).
% 19.49/19.68 cnf(fact_nat_Oinject-2, axiom, ( ( _u2016 != _u2018) | ( hAPP(c_Nat_OSuc, _u2016) = hAPP(c_Nat_OSuc, _u2018)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Suc__n__not__n ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Suc__n__not__n-1, axiom, ( ( hAPP(c_Nat_OSuc, _u2019) != _u2019) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_n__not__Suc__n ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_n__not__Suc__n-1, axiom, ( ( _u2020 != hAPP(c_Nat_OSuc, _u2020)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nat__less__cases ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nat__less__cases-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2021), _u2022)) | ( _u2021 = _u2022) | hBOOL(hAPP(hAPP(_u2023, _u2022), _u2021)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2022), _u2021)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_less__not__refl3 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_less__not__refl3-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2024), _u2025)) | ( _u2024 != _u2025) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_less__not__refl2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_less__not__refl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2026), _u2027)) | ( _u2027 != _u2026) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_less__irrefl__nat ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_less__irrefl__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2028), _u2028)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_linorder__neqE__nat ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_linorder__neqE__nat-1, axiom, ( ( _u2029 = _u2030) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2029), _u2030)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2030), _u2029)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nat__neq__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nat__neq__iff-1, axiom, ( ( _u2033 = _u2035) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2033), _u2035)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2035), _u2033)) )).
% 19.49/19.68 cnf(fact_nat__neq__iff-2, axiom, ( ( _u2034 != _u2036) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2034), _u2036)) )).
% 19.49/19.68 cnf(fact_nat__neq__iff-3, axiom, ( ( _u2034 != _u2036) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2036), _u2034)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_less__not__refl ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_less__not__refl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2037), _u2037)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_le__square ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_le__square-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2038), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2038), _u2038))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_le__cube ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_le__cube-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2039), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2039), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2039), _u2039)))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__le__mono1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__le__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2040), _u2041)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2040), _u2042)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2041), _u2042))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__le__mono2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__le__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2043), _u2044)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2045), _u2043)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2045), _u2044))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__le__mono ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2046), _u2047)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2048), _u2049)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2046), _u2048)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2047), _u2049))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_le__antisym ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_le__antisym-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2050), _u2051)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2051), _u2050)) | ( _u2050 = _u2051) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_le__trans ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_le__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2052), _u2053)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2053), _u2054)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2052), _u2054)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_eq__imp__le ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_eq__imp__le-1, axiom, ( ( _u2055 != _u2056) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2055), _u2056)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nat__le__linear ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nat__le__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2057), _u2058)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2058), _u2057)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_le__refl ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_le__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2059), _u2059)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__mult__distrib2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2060), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2061), _u2062)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2060), _u2061)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2060), _u2062))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__mult__distrib ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__mult__distrib-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2063), _u2064)), _u2065) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2063), _u2065)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2064), _u2065))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__commute ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2066), _u2067)), _u2068) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2066), _u2068)), _u2067)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nat__mult__1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nat__mult__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u2069) = _u2069) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nat__1__eq__mult__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nat__1__eq__mult__iff-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2072), _u2074)) | ( _u2072 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 19.49/19.68 cnf(fact_nat__1__eq__mult__iff-2, axiom, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2072), _u2074)) | ( _u2074 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 19.49/19.68 cnf(fact_nat__1__eq__mult__iff-3, axiom, ( ( _u2073 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2075 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2073), _u2075)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nat__mult__1__right ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nat__mult__1__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2076), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u2076) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nat__mult__eq__1__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nat__mult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2079), _u2081) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2079 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 19.49/19.68 cnf(fact_nat__mult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2079), _u2081) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2081 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 19.49/19.68 cnf(fact_nat__mult__eq__1__iff-3, axiom, ( ( _u2080 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2082 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2080), _u2082) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Suc__less__SucD ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Suc__less__SucD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2083)), hAPP(c_Nat_OSuc, _u2084))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2083), _u2084)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Suc__lessD ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Suc__lessD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2085)), _u2086)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2085), _u2086)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_less__SucE ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_less__SucE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2087), hAPP(c_Nat_OSuc, _u2088))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2087), _u2088)) | ( _u2087 = _u2088) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_less__trans__Suc ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_less__trans__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2089), _u2090)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2090), _u2091)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2089)), _u2091)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Suc__lessI ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Suc__lessI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2092), _u2093)) | ( hAPP(c_Nat_OSuc, _u2092) = _u2093) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2092)), _u2093)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_less__SucI ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_less__SucI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2094), _u2095)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2094), hAPP(c_Nat_OSuc, _u2095))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_less__antisym ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_less__antisym-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2096), _u2097)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2096), hAPP(c_Nat_OSuc, _u2097))) | ( _u2097 = _u2096) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_not__less__less__Suc__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_not__less__less__Suc__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2098), _u2099)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2098), hAPP(c_Nat_OSuc, _u2099))) | ( _u2098 = _u2099) )).
% 19.49/19.68 cnf(fact_not__less__less__Suc__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2098), _u2099)) | ( _u2098 != _u2099) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2098), hAPP(c_Nat_OSuc, _u2099))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Suc__mult__less__cancel1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Suc__mult__less__cancel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2105), _u2107)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2103)), _u2105)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2103)), _u2107))) )).
% 19.49/19.68 cnf(fact_Suc__mult__less__cancel1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2106), _u2108)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2104)), _u2106)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2104)), _u2108))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Suc__less__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Suc__less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2111)), hAPP(c_Nat_OSuc, _u2113))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2111), _u2113)) )).
% 19.49/19.68 cnf(fact_Suc__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2112), _u2114)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2112)), hAPP(c_Nat_OSuc, _u2114))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_less__Suc__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_less__Suc__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2117), hAPP(c_Nat_OSuc, _u2119))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2117), _u2119)) | ( _u2117 = _u2119) )).
% 19.49/19.68 cnf(fact_less__Suc__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2118), hAPP(c_Nat_OSuc, _u2120))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2118), _u2120)) )).
% 19.49/19.68 cnf(fact_less__Suc__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2118), hAPP(c_Nat_OSuc, _u2120))) | ( _u2118 != _u2120) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_not__less__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_not__less__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2123), _u2125)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2125), hAPP(c_Nat_OSuc, _u2123))) )).
% 19.49/19.68 cnf(fact_not__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2126), hAPP(c_Nat_OSuc, _u2124))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2124), _u2126)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Suc__mult__le__cancel1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Suc__mult__le__cancel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2132), _u2134)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2130)), _u2132)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2130)), _u2134))) )).
% 19.49/19.68 cnf(fact_Suc__mult__le__cancel1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2133), _u2135)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2131)), _u2133)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2131)), _u2135))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Suc__leD ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Suc__leD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2136)), _u2137)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2136), _u2137)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_le__SucE ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_le__SucE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2138), hAPP(c_Nat_OSuc, _u2139))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2138), _u2139)) | ( _u2138 = hAPP(c_Nat_OSuc, _u2139)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_le__SucI ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_le__SucI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2140), _u2141)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2140), hAPP(c_Nat_OSuc, _u2141))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Suc__le__mono ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Suc__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2144)), hAPP(c_Nat_OSuc, _u2146))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2144), _u2146)) )).
% 19.49/19.68 cnf(fact_Suc__le__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2145), _u2147)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2145)), hAPP(c_Nat_OSuc, _u2147))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_le__Suc__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_le__Suc__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2150), hAPP(c_Nat_OSuc, _u2152))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2150), _u2152)) | ( _u2150 = hAPP(c_Nat_OSuc, _u2152)) )).
% 19.49/19.68 cnf(fact_le__Suc__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2151), hAPP(c_Nat_OSuc, _u2153))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2151), _u2153)) )).
% 19.49/19.68 cnf(fact_le__Suc__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2151), hAPP(c_Nat_OSuc, _u2153))) | ( _u2151 != hAPP(c_Nat_OSuc, _u2153)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_not__less__eq__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_not__less__eq__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2156), _u2158)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2158)), _u2156)) )).
% 19.49/19.68 cnf(fact_not__less__eq__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2159)), _u2157)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2157), _u2159)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Suc__n__not__le__n ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Suc__n__not__le__n-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2160)), _u2160)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_less__or__eq__imp__le ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_less__or__eq__imp__le-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2161), _u2162)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2161), _u2162)) )).
% 19.49/19.68 cnf(fact_less__or__eq__imp__le-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2161), _u2162)) | ( _u2161 != _u2162) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_le__neq__implies__less ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_le__neq__implies__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2163), _u2164)) | ( _u2163 = _u2164) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2163), _u2164)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_less__imp__le__nat ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_less__imp__le__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2165), _u2166)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2165), _u2166)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_le__eq__less__or__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_le__eq__less__or__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2169), _u2171)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2169), _u2171)) | ( _u2169 = _u2171) )).
% 19.49/19.68 cnf(fact_le__eq__less__or__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2170), _u2172)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2170), _u2172)) )).
% 19.49/19.68 cnf(fact_le__eq__less__or__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2170), _u2172)) | ( _u2170 != _u2172) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nat__less__le ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nat__less__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2175), _u2177)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2175), _u2177)) )).
% 19.49/19.68 cnf(fact_nat__less__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2175), _u2177)) | ( _u2175 != _u2177) )).
% 19.49/19.68 cnf(fact_nat__less__le-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2176), _u2178)) | ( _u2176 = _u2178) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2176), _u2178)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Suc__diff__diff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Suc__diff__diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2179)), _u2180)), hAPP(c_Nat_OSuc, _u2181)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2179), _u2180)), _u2181)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__Suc__Suc ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__Suc__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2182)), hAPP(c_Nat_OSuc, _u2183)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2182), _u2183)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__less__mono2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__less__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2184), _u2185)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2184), _u2186)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2186), _u2185)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2186), _u2184))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_less__imp__diff__less ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_less__imp__diff__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2187), _u2188)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2187), _u2189)), _u2188)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_le__diff__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_le__diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2190), _u2191)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2190), _u2192)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2191), _u2190)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2192), _u2190))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2191), _u2192)) )).
% 19.49/19.68 cnf(fact_le__diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2190), _u2191)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2190), _u2192)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2191), _u2192)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2191), _u2190)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2192), _u2190))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Nat_Odiff__diff__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Nat_Odiff__diff__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2193), _u2194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2193), _u2195)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2194), _u2193)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2195), _u2193)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2194), _u2195)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_eq__diff__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_eq__diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2196), _u2197)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2196), _u2198)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2197), _u2196) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2198), _u2196)) | ( _u2197 = _u2198) )).
% 19.49/19.68 cnf(fact_eq__diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2196), _u2197)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2196), _u2198)) | ( _u2197 != _u2198) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2197), _u2196) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2198), _u2196)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__diff__cancel ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__diff__cancel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2199), _u2200)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2200), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2200), _u2199)) = _u2199) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__le__mono ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2201), _u2202)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2201), _u2203)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2202), _u2203))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__le__mono2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__le__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2204), _u2205)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2206), _u2205)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2206), _u2204))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__le__self ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__le__self-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2207), _u2208)), _u2207)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Suc__le__lessD ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Suc__le__lessD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2209)), _u2210)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2209), _u2210)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_le__less__Suc__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_le__less__Suc__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2211), _u2212)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2212), hAPP(c_Nat_OSuc, _u2211))) | ( _u2212 = _u2211) )).
% 19.49/19.68 cnf(fact_le__less__Suc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2211), _u2212)) | ( _u2212 != _u2211) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2212), hAPP(c_Nat_OSuc, _u2211))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Suc__leI ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Suc__leI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2213), _u2214)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2213)), _u2214)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_le__imp__less__Suc ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_le__imp__less__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2215), _u2216)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2215), hAPP(c_Nat_OSuc, _u2216))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Suc__le__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Suc__le__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2219)), _u2221)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2219), _u2221)) )).
% 19.49/19.68 cnf(fact_Suc__le__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2220), _u2222)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2220)), _u2222)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_less__1__mult ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_less__1__mult-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2223) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2223), c_Groups_Oone__class_Oone(_u2223)), _u2224)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2223), c_Groups_Oone__class_Oone(_u2223)), _u2225)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2223), c_Groups_Oone__class_Oone(_u2223)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2223), _u2224), _u2225))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_fun__left__comm_Ofold__graph__insertE__aux ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_fun__left__comm_Ofold__graph__insertE__aux-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u2227, _u2228, _u2229) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2227, _u2228, _u2229, _u2230, _u2231), _u2232)) | ~hBOOL(hAPP(hAPP(c_member(_u2227), _u2233), _u2231)) | ( _u2232 = hAPP(hAPP(_u2229, _u2233), skolem34(_u2233, _u2232, _u2231, _u2230, _u2229, _u2228, _u2227))) )).
% 19.49/19.68 cnf(fact_fun__left__comm_Ofold__graph__insertE__aux-2, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u2227, _u2228, _u2229) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2227, _u2228, _u2229, _u2230, _u2231), _u2232)) | ~hBOOL(hAPP(hAPP(c_member(_u2227), _u2233), _u2231)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2227, _u2228, _u2229, _u2230, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2227, tc_HOL_Obool)), _u2231), hAPP(hAPP(c_Set_Oinsert(_u2227), _u2233), c_Orderings_Obot__class_Obot(tc_fun(_u2227, tc_HOL_Obool))))), skolem34(_u2233, _u2232, _u2231, _u2230, _u2229, _u2228, _u2227))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Inf__fin_Oclosed ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Inf__fin_Oclosed-1, axiom, ( ~class_Lattices_Olattice(_u2236) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2236), _u2237)) | ( _u2237 = c_Orderings_Obot__class_Obot(tc_fun(_u2236, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2236), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2236), skolem35(_u2237, _u2236)), skolem36(_u2237, _u2236))), hAPP(hAPP(c_Set_Oinsert(_u2236), skolem35(_u2237, _u2236)), hAPP(hAPP(c_Set_Oinsert(_u2236), skolem36(_u2237, _u2236)), c_Orderings_Obot__class_Obot(tc_fun(_u2236, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u2236), c_Big__Operators_Olattice__class_OInf__fin(_u2236, _u2237)), _u2237)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_card_Oremove ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_card_Oremove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2238), _u2239)) | ~hBOOL(hAPP(hAPP(c_member(_u2238), _u2240), _u2239)) | ( hAPP(c_Finite__Set_Ocard(_u2238), _u2239) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u2238), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2238, tc_HOL_Obool)), _u2239), hAPP(hAPP(c_Set_Oinsert(_u2238), _u2240), c_Orderings_Obot__class_Obot(tc_fun(_u2238, tc_HOL_Obool))))))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_termination__basic__simps_I5_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_termination__basic__simps_I5_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2241), _u2242)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2241), _u2242)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2243) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2243), _u2244), c_Groups_Oone__class_Oone(_u2243)) = _u2244) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2245) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2245), c_Groups_Oone__class_Oone(_u2245)), _u2246) = _u2246) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_fold__Un__disjoint ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_fold__Un__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u2247) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2248), _u2249)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2248), _u2250)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2248, tc_HOL_Obool)), _u2249), _u2250) != c_Orderings_Obot__class_Obot(tc_fun(_u2248, tc_HOL_Obool))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2247, _u2248, c_Groups_Otimes__class_Otimes(_u2247)), _u2251), c_Groups_Oone__class_Oone(_u2247)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2248, tc_HOL_Obool)), _u2249), _u2250)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2247), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2247, _u2248, c_Groups_Otimes__class_Otimes(_u2247)), _u2251), c_Groups_Oone__class_Oone(_u2247)), _u2249)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2247, _u2248, c_Groups_Otimes__class_Otimes(_u2247)), _u2251), c_Groups_Oone__class_Oone(_u2247)), _u2250))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_card_Oinsert__remove ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_card_Oinsert__remove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2252), _u2253)) | ( hAPP(c_Finite__Set_Ocard(_u2252), hAPP(hAPP(c_Set_Oinsert(_u2252), _u2254), _u2253)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u2252), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2252, tc_HOL_Obool)), _u2253), hAPP(hAPP(c_Set_Oinsert(_u2252), _u2254), c_Orderings_Obot__class_Obot(tc_fun(_u2252, tc_HOL_Obool))))))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Sup__fold__sup ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Sup__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2255) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2255), _u2256)) | ( c_Complete__Lattice_OSup__class_OSup(_u2255, _u2256) = hAPP(hAPP(c_Finite__Set_Ofold(_u2255, _u2255, c_Lattices_Osemilattice__sup__class_Osup(_u2255)), c_Orderings_Obot__class_Obot(_u2255)), _u2256)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nat__mult__commute ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nat__mult__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2257), _u2258) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2258), _u2257)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__mult__distrib2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2259), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2260), _u2261)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2259), _u2260)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2259), _u2261))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nat__mult__assoc ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nat__mult__assoc-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2262), _u2263)), _u2264) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2262), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2263), _u2264))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__mult__distrib ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__mult__distrib-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2265), _u2266)), _u2267) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2265), _u2267)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2266), _u2267))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nat__add__right__cancel ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nat__add__right__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2271), _u2273) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2275), _u2273)) | ( _u2271 = _u2275) )).
% 19.49/19.68 cnf(fact_nat__add__right__cancel-2, axiom, ( ( _u2272 != _u2276) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2272), _u2274) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2276), _u2274)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nat__add__left__cancel ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nat__add__left__cancel-1, axiom, ( ( _u2282 = _u2284) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2280), _u2282) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2280), _u2284)) )).
% 19.49/19.68 cnf(fact_nat__add__left__cancel-2, axiom, ( ( _u2283 != _u2285) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2281), _u2283) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2281), _u2285)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nat__add__assoc ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nat__add__assoc-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2286), _u2287)), _u2288) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2286), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2287), _u2288))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nat__add__left__commute ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nat__add__left__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2289), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2290), _u2291)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2290), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2289), _u2291))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nat__add__commute ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nat__add__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2292), _u2293) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2293), _u2292)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__right__imp__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__right__imp__eq-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u2294) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2294), _u2295), _u2296) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2294), _u2297), _u2296)) | ( _u2295 = _u2297) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__imp__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__imp__eq-1, axiom, ( ~class_Groups_Ocancel__ab__semigroup__add(_u2298) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2298), _u2299), _u2300) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2298), _u2299), _u2301)) | ( _u2300 = _u2301) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__left__imp__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__left__imp__eq-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u2302) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2302), _u2303), _u2304) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2302), _u2303), _u2305)) | ( _u2304 = _u2305) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__right__cancel ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__right__cancel-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u2306) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2306), _u2307), _u2308) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2306), _u2309), _u2308)) | ( _u2307 = _u2309) )).
% 19.49/19.68 cnf(fact_add__right__cancel-2, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u2306) | ( _u2307 != _u2309) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2306), _u2307), _u2308) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2306), _u2309), _u2308)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__left__cancel ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__left__cancel-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u2310) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2310), _u2311), _u2312) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2310), _u2311), _u2313)) | ( _u2312 = _u2313) )).
% 19.49/19.68 cnf(fact_add__left__cancel-2, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u2310) | ( _u2312 != _u2313) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2310), _u2311), _u2312) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2310), _u2311), _u2313)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_ab__semigroup__add__class_Oadd__ac_I1_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_ab__semigroup__add__class_Oadd__ac_I1_J-1, axiom, ( ~class_Groups_Oab__semigroup__add(_u2314) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2314), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2314), _u2315), _u2316)), _u2317) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2314), _u2315), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2314), _u2316), _u2317))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2318) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2318), _u2319), _u2320) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2318), _u2320), _u2319)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2321) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2321), _u2322), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2321), _u2323), _u2324)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2321), _u2323), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2321), _u2322), _u2324))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2325) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2325), _u2326), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2325), _u2327), _u2328)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2325), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2325), _u2326), _u2327)), _u2328)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2329) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2329), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2329), _u2330), _u2331)), _u2332) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2329), _u2330), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2329), _u2331), _u2332))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2333) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2333), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2333), _u2334), _u2335)), _u2336) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2333), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2333), _u2334), _u2336)), _u2335)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2337) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2337), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2337), _u2338), _u2339)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2337), _u2340), _u2341)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2337), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2337), _u2338), _u2340)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2337), _u2339), _u2341))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2342) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2342), _u2343), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2342), _u2344), _u2345)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2342), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2342), _u2343), _u2344)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2342), _u2343), _u2345))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_crossproduct__noteq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_crossproduct__noteq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2346) | ( _u2347 = _u2348) | ( _u2349 = _u2350) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2346), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2346), _u2347), _u2349)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2346), _u2348), _u2350)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2346), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2346), _u2347), _u2350)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2346), _u2348), _u2349))) )).
% 19.49/19.68 cnf(fact_crossproduct__noteq-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2346) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2346), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2346), _u2347), _u2349)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2346), _u2348), _u2350)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2346), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2346), _u2347), _u2350)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2346), _u2348), _u2349))) | ( _u2347 != _u2348) )).
% 19.49/19.68 cnf(fact_crossproduct__noteq-3, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2346) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2346), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2346), _u2347), _u2349)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2346), _u2348), _u2350)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2346), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2346), _u2347), _u2350)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2346), _u2348), _u2349))) | ( _u2349 != _u2350) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_comm__semiring__class_Odistrib ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_comm__semiring__class_Odistrib-1, axiom, ( ~class_Rings_Ocomm__semiring(_u2351) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2351), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2351), _u2352), _u2353)), _u2354) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2351), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2351), _u2352), _u2354)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2351), _u2353), _u2354))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2355) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2355), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2355), _u2356), _u2357)), _u2358) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2355), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2355), _u2356), _u2358)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2355), _u2357), _u2358))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2359) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2359), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2359), _u2360), _u2361)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2359), _u2362), _u2361)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2359), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2359), _u2360), _u2362)), _u2361)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_combine__common__factor ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_combine__common__factor-1, axiom, ( ~class_Rings_Osemiring(_u2363) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2363), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2363), _u2364), _u2365)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2363), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2363), _u2366), _u2365)), _u2367)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2363), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2363), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2363), _u2364), _u2366)), _u2365)), _u2367)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_crossproduct__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_crossproduct__eq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2368) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2368), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2368), _u2369), _u2370)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2368), _u2371), _u2372)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2368), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2368), _u2369), _u2372)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2368), _u2371), _u2370))) | ( _u2369 = _u2371) | ( _u2370 = _u2372) )).
% 19.49/19.68 cnf(fact_crossproduct__eq-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2368) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2368), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2368), _u2369), _u2370)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2368), _u2371), _u2372)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2368), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2368), _u2369), _u2372)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2368), _u2371), _u2370))) | ( _u2369 != _u2371) )).
% 19.49/19.68 cnf(fact_crossproduct__eq-3, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2368) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2368), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2368), _u2369), _u2370)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2368), _u2371), _u2372)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2368), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2368), _u2369), _u2372)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2368), _u2371), _u2370))) | ( _u2370 != _u2372) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_termination__basic__simps_I1_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_termination__basic__simps_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2373), _u2374)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2373), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2374), _u2375))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_termination__basic__simps_I2_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_termination__basic__simps_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2376), _u2377)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2376), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2378), _u2377))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_termination__basic__simps_I3_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_termination__basic__simps_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2379), _u2380)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2379), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2380), _u2381))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_termination__basic__simps_I4_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_termination__basic__simps_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2382), _u2383)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2382), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2384), _u2383))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__le__cancel__right ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__le__cancel__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2385) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2385), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2385), _u2386), _u2387)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2385), _u2388), _u2387))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2385), _u2386), _u2388)) )).
% 19.49/19.68 cnf(fact_add__le__cancel__right-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2385) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2385), _u2386), _u2388)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2385), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2385), _u2386), _u2387)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2385), _u2388), _u2387))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__le__cancel__left ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__le__cancel__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2389) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2389), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2389), _u2390), _u2391)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2389), _u2390), _u2392))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2389), _u2391), _u2392)) )).
% 19.49/19.68 cnf(fact_add__le__cancel__left-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2389) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2389), _u2391), _u2392)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2389), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2389), _u2390), _u2391)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2389), _u2390), _u2392))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__right__mono ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__right__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u2393) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2393), _u2394), _u2395)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2393), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2393), _u2394), _u2396)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2393), _u2395), _u2396))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__left__mono ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__left__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u2397) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2397), _u2398), _u2399)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2397), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2397), _u2400), _u2398)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2397), _u2400), _u2399))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__mono ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u2401) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2401), _u2402), _u2403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2401), _u2404), _u2405)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2401), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2401), _u2402), _u2404)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2401), _u2403), _u2405))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__le__imp__le__right ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__le__imp__le__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2406) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2406), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2406), _u2407), _u2408)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2406), _u2409), _u2408))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2406), _u2407), _u2409)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__le__imp__le__left ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__le__imp__le__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2410) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2410), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2410), _u2411), _u2412)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2410), _u2411), _u2413))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2410), _u2412), _u2413)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__less__cancel__right ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__less__cancel__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2414) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2414), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2414), _u2415), _u2416)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2414), _u2417), _u2416))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2414), _u2415), _u2417)) )).
% 19.49/19.68 cnf(fact_add__less__cancel__right-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2414) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2414), _u2415), _u2417)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2414), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2414), _u2415), _u2416)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2414), _u2417), _u2416))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__less__cancel__left ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__less__cancel__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2418) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2418), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2418), _u2419), _u2420)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2418), _u2419), _u2421))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2418), _u2420), _u2421)) )).
% 19.49/19.68 cnf(fact_add__less__cancel__left-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2418) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2418), _u2420), _u2421)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2418), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2418), _u2419), _u2420)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2418), _u2419), _u2421))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__strict__right__mono ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__strict__right__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2422) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2422), _u2423), _u2424)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2422), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2422), _u2423), _u2425)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2422), _u2424), _u2425))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__strict__left__mono ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__strict__left__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2426) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2426), _u2427), _u2428)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2426), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2426), _u2429), _u2427)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2426), _u2429), _u2428))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__strict__mono ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__strict__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2430) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2430), _u2431), _u2432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2430), _u2433), _u2434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2430), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2430), _u2431), _u2433)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2430), _u2432), _u2434))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__less__imp__less__right ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__less__imp__less__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2435) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2435), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2435), _u2436), _u2437)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2435), _u2438), _u2437))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2435), _u2436), _u2438)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__less__imp__less__left ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__less__imp__less__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2439) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2439), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2439), _u2440), _u2441)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2439), _u2440), _u2442))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2439), _u2441), _u2442)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_finite__UnionD ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_finite__UnionD-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2443), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2443, tc_HOL_Obool), _u2444))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2443, tc_HOL_Obool)), _u2444)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__add__cancel ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__add__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u2445) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2445), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2445), _u2446), _u2447)), _u2447) = _u2446) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__diff__cancel ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__diff__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u2448) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2448), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2448), _u2449), _u2450)), _u2450) = _u2449) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__Suc__right ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__Suc__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2451), hAPP(c_Nat_OSuc, _u2452)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2451), _u2452))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__Suc ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2453)), _u2454) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2453), _u2454))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__Suc__shift ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__Suc__shift-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2455)), _u2456) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2455), hAPP(c_Nat_OSuc, _u2456))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__Suc ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2457)), _u2458) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2458), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2457), _u2458))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__Suc__right ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__Suc__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2459), hAPP(c_Nat_OSuc, _u2460)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2459), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2459), _u2460))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_not__add__less1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_not__add__less1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2461), _u2462)), _u2461)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_not__add__less2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_not__add__less2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2463), _u2464)), _u2464)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nat__add__left__cancel__less ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nat__add__left__cancel__less-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2470), _u2472)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2468), _u2470)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2468), _u2472))) )).
% 19.49/19.68 cnf(fact_nat__add__left__cancel__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2471), _u2473)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2469), _u2471)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2469), _u2473))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_trans__less__add1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_trans__less__add1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2474), _u2475)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2474), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2475), _u2476))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_trans__less__add2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_trans__less__add2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2477), _u2478)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2477), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2479), _u2478))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__less__mono1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__less__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2480), _u2481)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2480), _u2482)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2481), _u2482))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__less__mono ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__less__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2483), _u2484)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2485), _u2486)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2483), _u2485)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2484), _u2486))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_less__add__eq__less ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_less__add__eq__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2487), _u2488)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2489), _u2488) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2487), _u2490)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2489), _u2490)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__lessD1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__lessD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2491), _u2492)), _u2493)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2491), _u2493)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_le__add2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_le__add2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2494), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2495), _u2494))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_le__add1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_le__add1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2496), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2496), _u2497))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_le__iff__add ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_le__iff__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2502), _u2504)) | ( _u2504 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2502), skolem37(_u2504, _u2502))) )).
% 19.49/19.68 cnf(fact_le__iff__add-2, axiom, ( ( _u2505 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2503), _u2499)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2503), _u2505)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nat__add__left__cancel__le ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nat__add__left__cancel__le-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2511), _u2513)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2509), _u2511)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2509), _u2513))) )).
% 19.49/19.68 cnf(fact_nat__add__left__cancel__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2512), _u2514)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2510), _u2512)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2510), _u2514))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_trans__le__add1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_trans__le__add1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2515), _u2516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2515), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2516), _u2517))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_trans__le__add2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_trans__le__add2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2518), _u2519)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2518), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2520), _u2519))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__le__mono1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__le__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2521), _u2522)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2521), _u2523)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2522), _u2523))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__le__mono ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2524), _u2525)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2526), _u2527)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2524), _u2526)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2525), _u2527))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__leD2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__leD2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2529), _u2530)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2528), _u2529)), _u2530)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__leD1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__leD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2531), _u2532)), _u2533)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2531), _u2533)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__leE ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__leE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2534), _u2535)), _u2536)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2534), _u2536)) )).
% 19.49/19.68 cnf(fact_add__leE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2534), _u2535)), _u2536)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2535), _u2536)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__add__inverse2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__add__inverse2-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2537), _u2538)), _u2538) = _u2537) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__add__inverse ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__add__inverse-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2539), _u2540)), _u2539) = _u2540) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__diff__left ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__diff__left-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2541), _u2542)), _u2543) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2541), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2542), _u2543))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__cancel ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2544), _u2545)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2544), _u2546)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2545), _u2546)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__cancel2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__cancel2-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2547), _u2548)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2549), _u2548)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2547), _u2549)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_fold__image__empty ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_fold__image__empty-1, axiom, ( ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2550, _u2551, _u2552), _u2553), _u2554), c_Orderings_Obot__class_Obot(tc_fun(_u2551, tc_HOL_Obool))) = _u2554) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_less__add__one ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_less__add__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2555) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2555), _u2556), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2555), _u2556), c_Groups_Oone__class_Oone(_u2555)))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_eq__add__iff2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_eq__add__iff2-1, axiom, ( ~class_Rings_Oring(_u2557) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2557), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2557), _u2558), _u2559)), _u2560) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2557), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2557), _u2561), _u2559)), _u2562)) | ( _u2560 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2557), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2557), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2557), _u2561), _u2558)), _u2559)), _u2562)) )).
% 19.49/19.68 cnf(fact_eq__add__iff2-2, axiom, ( ~class_Rings_Oring(_u2557) | ( _u2560 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2557), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2557), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2557), _u2561), _u2558)), _u2559)), _u2562)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2557), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2557), _u2558), _u2559)), _u2560) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2557), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2557), _u2561), _u2559)), _u2562)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_eq__add__iff1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_eq__add__iff1-1, axiom, ( ~class_Rings_Oring(_u2563) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2563), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2563), _u2564), _u2565)), _u2566) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2563), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2563), _u2567), _u2565)), _u2568)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2563), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2563), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2563), _u2564), _u2567)), _u2565)), _u2566) = _u2568) )).
% 19.49/19.68 cnf(fact_eq__add__iff1-2, axiom, ( ~class_Rings_Oring(_u2563) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2563), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2563), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2563), _u2564), _u2567)), _u2565)), _u2566) != _u2568) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2563), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2563), _u2564), _u2565)), _u2566) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2563), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2563), _u2567), _u2565)), _u2568)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2569) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2569), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2569), _u2570), _u2571)), _u2571) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2569), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2569), _u2570), c_Groups_Oone__class_Oone(_u2569))), _u2571)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2572) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2572), _u2573), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2572), _u2574), _u2573)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2572), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2572), _u2574), c_Groups_Oone__class_Oone(_u2572))), _u2573)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2575) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2575), _u2576), _u2576) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2575), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2575), c_Groups_Oone__class_Oone(_u2575)), c_Groups_Oone__class_Oone(_u2575))), _u2576)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__less__le__mono ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__less__le__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2577) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2577), _u2578), _u2579)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2577), _u2580), _u2581)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2577), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2577), _u2578), _u2580)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2577), _u2579), _u2581))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__le__less__mono ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__le__less__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2582) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2582), _u2583), _u2584)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2582), _u2585), _u2586)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2582), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2582), _u2583), _u2585)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2582), _u2584), _u2586))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_le__add__iff2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_le__add__iff2-1, axiom, ( ~class_Rings_Oordered__ring(_u2587) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2587), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2587), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2587), _u2588), _u2589)), _u2590)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2587), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2587), _u2591), _u2589)), _u2592))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2587), _u2590), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2587), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2587), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2587), _u2591), _u2588)), _u2589)), _u2592))) )).
% 19.49/19.68 cnf(fact_le__add__iff2-2, axiom, ( ~class_Rings_Oordered__ring(_u2587) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2587), _u2590), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2587), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2587), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2587), _u2591), _u2588)), _u2589)), _u2592))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2587), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2587), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2587), _u2588), _u2589)), _u2590)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2587), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2587), _u2591), _u2589)), _u2592))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_le__add__iff1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_le__add__iff1-1, axiom, ( ~class_Rings_Oordered__ring(_u2593) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2593), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2593), _u2594), _u2595)), _u2596)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2593), _u2597), _u2595)), _u2598))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2593), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2593), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2593), _u2594), _u2597)), _u2595)), _u2596)), _u2598)) )).
% 19.49/19.68 cnf(fact_le__add__iff1-2, axiom, ( ~class_Rings_Oordered__ring(_u2593) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2593), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2593), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2593), _u2594), _u2597)), _u2595)), _u2596)), _u2598)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2593), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2593), _u2594), _u2595)), _u2596)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2593), _u2597), _u2595)), _u2598))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_less__add__iff2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_less__add__iff2-1, axiom, ( ~class_Rings_Oordered__ring(_u2599) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2599), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2599), _u2600), _u2601)), _u2602)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2599), _u2603), _u2601)), _u2604))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2599), _u2602), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2599), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2599), _u2603), _u2600)), _u2601)), _u2604))) )).
% 19.49/19.68 cnf(fact_less__add__iff2-2, axiom, ( ~class_Rings_Oordered__ring(_u2599) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2599), _u2602), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2599), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2599), _u2603), _u2600)), _u2601)), _u2604))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2599), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2599), _u2600), _u2601)), _u2602)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2599), _u2603), _u2601)), _u2604))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_less__add__iff1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_less__add__iff1-1, axiom, ( ~class_Rings_Oordered__ring(_u2605) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2605), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2605), _u2606), _u2607)), _u2608)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2605), _u2609), _u2607)), _u2610))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2605), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2605), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2605), _u2606), _u2609)), _u2607)), _u2608)), _u2610)) )).
% 19.49/19.68 cnf(fact_less__add__iff1-2, axiom, ( ~class_Rings_Oordered__ring(_u2605) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2605), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2605), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2605), _u2606), _u2609)), _u2607)), _u2608)), _u2610)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2605), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2605), _u2606), _u2607)), _u2608)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2605), _u2609), _u2607)), _u2610))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_less__iff__Suc__add ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_less__iff__Suc__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2615), _u2617)) | ( _u2617 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2615), skolem38(_u2617, _u2615)))) )).
% 19.49/19.68 cnf(fact_less__iff__Suc__add-2, axiom, ( ( _u2618 != hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2616), _u2612))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2616), _u2618)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_less__add__Suc2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_less__add__Suc2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2619), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2620), _u2619)))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_less__add__Suc1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_less__add__Suc1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2621), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2621), _u2622)))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_less__diff__conv ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_less__diff__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2626), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2628), _u2630))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2626), _u2630)), _u2628)) )).
% 19.49/19.68 cnf(fact_less__diff__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2627), _u2631)), _u2629)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2627), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2629), _u2631))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__diff__inverse ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__diff__inverse-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2632), _u2633)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2633), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2632), _u2633)) = _u2632) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__diff__right ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__diff__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2634), _u2635)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2636), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2635), _u2634)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2636), _u2634)), _u2635)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_le__diff__conv ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_le__diff__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2640), _u2642)), _u2644)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2640), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2644), _u2642))) )).
% 19.49/19.68 cnf(fact_le__diff__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2641), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2645), _u2643))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2641), _u2643)), _u2645)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_le__add__diff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_le__add__diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2646), _u2647)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2648), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2647), _u2648)), _u2646))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_le__add__diff__inverse ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_le__add__diff__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2649), _u2650)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2649), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2650), _u2649)) = _u2650) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__diff__assoc ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__diff__assoc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2651), _u2652)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2653), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2652), _u2651)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2653), _u2652)), _u2651)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_le__diff__conv2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_le__diff__conv2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2654), _u2655)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2656), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2655), _u2654))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2656), _u2654)), _u2655)) )).
% 19.49/19.68 cnf(fact_le__diff__conv2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2654), _u2655)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2656), _u2654)), _u2655)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2656), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2655), _u2654))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_le__add__diff__inverse2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_le__add__diff__inverse2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2657), _u2658)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2658), _u2657)), _u2657) = _u2658) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_le__imp__diff__is__add ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_le__imp__diff__is__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2659), _u2660)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2660), _u2659) != _u2661) | ( _u2660 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2661), _u2659)) )).
% 19.49/19.68 cnf(fact_le__imp__diff__is__add-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2659), _u2660)) | ( _u2660 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2661), _u2659)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2660), _u2659) = _u2661) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__add__assoc ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__add__assoc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2662), _u2663)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2664), _u2663)), _u2662) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2664), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2663), _u2662))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__diff__assoc2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__diff__assoc2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2665), _u2666)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2666), _u2665)), _u2667) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2666), _u2667)), _u2665)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__add__assoc2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__add__assoc2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2668), _u2669)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2669), _u2670)), _u2668) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2669), _u2668)), _u2670)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Suc__eq__plus1__left ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Suc__eq__plus1__left-1, axiom, ( ( hAPP(c_Nat_OSuc, _u2671) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u2671)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Suc__eq__plus1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Suc__eq__plus1-1, axiom, ( ( hAPP(c_Nat_OSuc, _u2672) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2672), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_folding__image__simple_Oeq__fold__g ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_folding__image__simple_Oeq__fold__g-1, axiom, ( ~c_Finite__Set_Ofolding__image__simple(_u2673, _u2674, _u2675, _u2676, _u2677, _u2678) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2674), _u2679)) | ( hAPP(_u2678, _u2679) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2673, _u2674, _u2675), _u2677), _u2676), _u2679)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__Suc__diff__eq1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__Suc__diff__eq1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2680), _u2681)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2682), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2681), _u2680))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2682), _u2680)), hAPP(c_Nat_OSuc, _u2681))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__Suc__diff__eq2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__Suc__diff__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2683), _u2684)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2684), _u2683))), _u2685) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2684)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2683), _u2685))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_linorder__neqE__linordered__idom ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_linorder__neqE__linordered__idom-1, axiom, ( ~class_Rings_Olinordered__idom(_u2686) | ( _u2687 = _u2688) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2686), _u2687), _u2688)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2686), _u2688), _u2687)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2689) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2689), _u2690), _u2691) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2689), _u2691), _u2690)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2692) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2692), _u2693), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2692), _u2694), _u2695)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2692), _u2694), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2692), _u2693), _u2695))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2696) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2696), _u2697), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2696), _u2698), _u2699)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2696), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2696), _u2697), _u2698)), _u2699)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2700) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2700), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2700), _u2701), _u2702)), _u2703) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2700), _u2701), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2700), _u2702), _u2703))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2704) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2704), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2704), _u2705), _u2706)), _u2707) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2704), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2704), _u2705), _u2707)), _u2706)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2708) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2708), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2708), _u2709), _u2710)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2708), _u2711), _u2712)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2708), _u2709), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2708), _u2710), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2708), _u2711), _u2712)))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2713) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2713), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2713), _u2714), _u2715)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2713), _u2716), _u2717)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2713), _u2716), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2713), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2713), _u2714), _u2715)), _u2717))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2718) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2718), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2718), _u2719), _u2720)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2718), _u2721), _u2722)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2718), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2718), _u2719), _u2721)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2718), _u2720), _u2722))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_card_Ounion__inter ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_card_Ounion__inter-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2723), _u2724)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2723), _u2725)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2723), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2723, tc_HOL_Obool)), _u2724), _u2725))), hAPP(c_Finite__Set_Ocard(_u2723), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2723, tc_HOL_Obool)), _u2724), _u2725))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2723), _u2724)), hAPP(c_Finite__Set_Ocard(_u2723), _u2725))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_card__Un__Int ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_card__Un__Int-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2726), _u2727)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2726), _u2728)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2726), _u2727)), hAPP(c_Finite__Set_Ocard(_u2726), _u2728)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2726), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2726, tc_HOL_Obool)), _u2727), _u2728))), hAPP(c_Finite__Set_Ocard(_u2726), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2726, tc_HOL_Obool)), _u2727), _u2728)))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_fold__image__insert ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_fold__image__insert-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u2729) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2730), _u2731)) | hBOOL(hAPP(hAPP(c_member(_u2730), _u2732), _u2731)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2729, _u2730, c_Groups_Otimes__class_Otimes(_u2729)), _u2733), _u2734), hAPP(hAPP(c_Set_Oinsert(_u2730), _u2732), _u2731)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2729), hAPP(_u2733, _u2732)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2729, _u2730, c_Groups_Otimes__class_Otimes(_u2729)), _u2733), _u2734), _u2731))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_sup__Sup__fold__sup ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_sup__Sup__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2735) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2735), _u2736)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2735), _u2737), c_Complete__Lattice_OSup__class_OSup(_u2735, _u2736)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2735, _u2735, c_Lattices_Osemilattice__sup__class_Osup(_u2735)), _u2737), _u2736)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Sup__fin__Sup ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Sup__fin__Sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2738) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2738), _u2739)) | ( _u2739 = c_Orderings_Obot__class_Obot(tc_fun(_u2738, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u2738, _u2739) = c_Complete__Lattice_OSup__class_OSup(_u2738, _u2739)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_card__Un__disjoint ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_card__Un__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2740), _u2741)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2740), _u2742)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2740, tc_HOL_Obool)), _u2741), _u2742) != c_Orderings_Obot__class_Obot(tc_fun(_u2740, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ocard(_u2740), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2740, tc_HOL_Obool)), _u2741), _u2742)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2740), _u2741)), hAPP(c_Finite__Set_Ocard(_u2740), _u2742))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_card_Oinsert ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_card_Oinsert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2743), _u2744)) | hBOOL(hAPP(hAPP(c_member(_u2743), _u2745), _u2744)) | ( hAPP(c_Finite__Set_Ocard(_u2743), hAPP(hAPP(c_Set_Oinsert(_u2743), _u2745), _u2744)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u2743), _u2744))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_fold__image__Un__Int ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_fold__image__Un__Int-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u2746) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2747), _u2748)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2747), _u2749)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2746), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2746, _u2747, c_Groups_Otimes__class_Otimes(_u2746)), _u2750), c_Groups_Oone__class_Oone(_u2746)), _u2748)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2746, _u2747, c_Groups_Otimes__class_Otimes(_u2746)), _u2750), c_Groups_Oone__class_Oone(_u2746)), _u2749)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2746), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2746, _u2747, c_Groups_Otimes__class_Otimes(_u2746)), _u2750), c_Groups_Oone__class_Oone(_u2746)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2747, tc_HOL_Obool)), _u2748), _u2749))), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2746, _u2747, c_Groups_Otimes__class_Otimes(_u2746)), _u2750), c_Groups_Oone__class_Oone(_u2746)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2747, tc_HOL_Obool)), _u2748), _u2749)))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nat__less__add__iff2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nat__less__add__iff2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2751), _u2752)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2751), _u2753)), _u2754)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2752), _u2753)), _u2755))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2754), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2752), _u2751)), _u2753)), _u2755))) )).
% 19.49/19.68 cnf(fact_nat__less__add__iff2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2751), _u2752)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2754), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2752), _u2751)), _u2753)), _u2755))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2751), _u2753)), _u2754)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2752), _u2753)), _u2755))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nat__less__add__iff1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nat__less__add__iff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2756), _u2757)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2757), _u2758)), _u2759)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2756), _u2758)), _u2760))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2757), _u2756)), _u2758)), _u2759)), _u2760)) )).
% 19.49/19.68 cnf(fact_nat__less__add__iff1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2756), _u2757)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2757), _u2756)), _u2758)), _u2759)), _u2760)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2757), _u2758)), _u2759)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2756), _u2758)), _u2760))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nat__le__add__iff1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nat__le__add__iff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2761), _u2762)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2762), _u2763)), _u2764)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2761), _u2763)), _u2765))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2762), _u2761)), _u2763)), _u2764)), _u2765)) )).
% 19.49/19.68 cnf(fact_nat__le__add__iff1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2761), _u2762)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2762), _u2761)), _u2763)), _u2764)), _u2765)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2762), _u2763)), _u2764)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2761), _u2763)), _u2765))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nat__diff__add__eq1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nat__diff__add__eq1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2766), _u2767)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2767), _u2768)), _u2769)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2766), _u2768)), _u2770)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2767), _u2766)), _u2768)), _u2769)), _u2770)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nat__eq__add__iff1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nat__eq__add__iff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2771), _u2772)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2772), _u2773)), _u2774) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2771), _u2773)), _u2775)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2772), _u2771)), _u2773)), _u2774) = _u2775) )).
% 19.49/19.68 cnf(fact_nat__eq__add__iff1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2771), _u2772)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2772), _u2771)), _u2773)), _u2774) != _u2775) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2772), _u2773)), _u2774) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2771), _u2773)), _u2775)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nat__le__add__iff2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nat__le__add__iff2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2776), _u2777)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2776), _u2778)), _u2779)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2777), _u2778)), _u2780))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2779), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2777), _u2776)), _u2778)), _u2780))) )).
% 19.49/19.68 cnf(fact_nat__le__add__iff2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2776), _u2777)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2779), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2777), _u2776)), _u2778)), _u2780))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2776), _u2778)), _u2779)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2777), _u2778)), _u2780))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nat__diff__add__eq2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nat__diff__add__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2781), _u2782)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2781), _u2783)), _u2784)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2782), _u2783)), _u2785)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2784), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2782), _u2781)), _u2783)), _u2785))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nat__eq__add__iff2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nat__eq__add__iff2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2786), _u2787)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2786), _u2788)), _u2789) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2787), _u2788)), _u2790)) | ( _u2789 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2787), _u2786)), _u2788)), _u2790)) )).
% 19.49/19.68 cnf(fact_nat__eq__add__iff2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2786), _u2787)) | ( _u2789 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2787), _u2786)), _u2788)), _u2790)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2786), _u2788)), _u2789) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2787), _u2788)), _u2790)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Sup__binary ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Sup__binary-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2791) | ( c_Complete__Lattice_OSup__class_OSup(_u2791, hAPP(hAPP(c_Set_Oinsert(_u2791), _u2792), hAPP(hAPP(c_Set_Oinsert(_u2791), _u2793), c_Orderings_Obot__class_Obot(tc_fun(_u2791, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2791), _u2792), _u2793)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_UnionI ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_UnionI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2794, tc_HOL_Obool)), _u2795), _u2796)) | ~hBOOL(hAPP(hAPP(c_member(_u2794), _u2797), _u2795)) | hBOOL(hAPP(hAPP(c_member(_u2794), _u2797), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2794, tc_HOL_Obool), _u2796))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Union__empty ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Union__empty-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2798, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2798, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u2798, tc_HOL_Obool))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Union__mono ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Union__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u2799, tc_HOL_Obool), tc_HOL_Obool)), _u2800), _u2801)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2799, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2799, tc_HOL_Obool), _u2800)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2799, tc_HOL_Obool), _u2801))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Union__upper ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Union__upper-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2802, tc_HOL_Obool)), _u2803), _u2804)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2802, tc_HOL_Obool)), _u2803), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2802, tc_HOL_Obool), _u2804))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Union__insert ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Union__insert-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2805, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u2805, tc_HOL_Obool)), _u2806), _u2807)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2805, tc_HOL_Obool)), _u2806), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2805, tc_HOL_Obool), _u2807))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Un__eq__Union ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Un__eq__Union-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2808, tc_HOL_Obool)), _u2809), _u2810) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2808, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u2808, tc_HOL_Obool)), _u2809), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u2808, tc_HOL_Obool)), _u2810), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2808, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Union__Un__distrib ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Union__Un__distrib-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2811, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u2811, tc_HOL_Obool), tc_HOL_Obool)), _u2812), _u2813)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2811, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2811, tc_HOL_Obool), _u2812)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2811, tc_HOL_Obool), _u2813))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Union__disjoint ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Union__disjoint-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2819, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2819, tc_HOL_Obool), _u2821)), _u2823) != c_Orderings_Obot__class_Obot(tc_fun(_u2819, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2819, tc_HOL_Obool)), _u2814), _u2821)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2819, tc_HOL_Obool)), _u2814), _u2823) = c_Orderings_Obot__class_Obot(tc_fun(_u2819, tc_HOL_Obool))) )).
% 19.49/19.68 cnf(fact_Union__disjoint-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2820, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2820, tc_HOL_Obool), _u2822)), _u2824) = c_Orderings_Obot__class_Obot(tc_fun(_u2820, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u2820, tc_HOL_Obool)), skolem39(_u2824, _u2822, _u2820)), _u2822)) )).
% 19.49/19.68 cnf(fact_Union__disjoint-3, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2820, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2820, tc_HOL_Obool), _u2822)), _u2824) = c_Orderings_Obot__class_Obot(tc_fun(_u2820, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2820, tc_HOL_Obool)), skolem39(_u2824, _u2822, _u2820)), _u2824) != c_Orderings_Obot__class_Obot(tc_fun(_u2820, tc_HOL_Obool))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Union__Int__subset ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Union__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2825, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2825, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u2825, tc_HOL_Obool), tc_HOL_Obool)), _u2826), _u2827))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2825, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2825, tc_HOL_Obool), _u2826)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2825, tc_HOL_Obool), _u2827)))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Sup__le__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Sup__le__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2830) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2830), c_Complete__Lattice_OSup__class_OSup(_u2830, _u2831)), _u2832)) | ~hBOOL(hAPP(hAPP(c_member(_u2830), _u2828), _u2831)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2830), _u2828), _u2832)) )).
% 19.49/19.68 cnf(fact_Sup__le__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2830) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2830), c_Complete__Lattice_OSup__class_OSup(_u2830, _u2831)), _u2832)) | hBOOL(hAPP(hAPP(c_member(_u2830), skolem40(_u2832, _u2831, _u2830)), _u2831)) )).
% 19.49/19.68 cnf(fact_Sup__le__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2830) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2830), c_Complete__Lattice_OSup__class_OSup(_u2830, _u2831)), _u2832)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2830), skolem40(_u2832, _u2831, _u2830)), _u2832)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_left__add__mult__distrib ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_left__add__mult__distrib-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2833), _u2834)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2835), _u2834)), _u2836)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2833), _u2835)), _u2834)), _u2836)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_less__Sup__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_less__Sup__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2839) | ~class_Orderings_Olinorder(_u2839) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2839), _u2840), c_Complete__Lattice_OSup__class_OSup(_u2839, _u2841))) | hBOOL(hAPP(hAPP(c_member(_u2839), skolem41(_u2841, _u2840, _u2839)), _u2841)) )).
% 19.49/19.68 cnf(fact_less__Sup__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2839) | ~class_Orderings_Olinorder(_u2839) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2839), _u2840), c_Complete__Lattice_OSup__class_OSup(_u2839, _u2841))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2839), _u2840), skolem41(_u2841, _u2840, _u2839))) )).
% 19.49/19.68 cnf(fact_less__Sup__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2839) | ~class_Orderings_Olinorder(_u2839) | ~hBOOL(hAPP(hAPP(c_member(_u2839), _u2838), _u2841)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2839), _u2840), _u2838)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2839), _u2840), c_Complete__Lattice_OSup__class_OSup(_u2839, _u2841))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Sup__upper ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Sup__upper-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2842) | ~hBOOL(hAPP(hAPP(c_member(_u2842), _u2843), _u2844)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2842), _u2843), c_Complete__Lattice_OSup__class_OSup(_u2842, _u2844))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Sup__empty ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Sup__empty-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2845) | ( c_Complete__Lattice_OSup__class_OSup(_u2845, c_Orderings_Obot__class_Obot(tc_fun(_u2845, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u2845)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Sup__singleton ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Sup__singleton-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2846) | ( c_Complete__Lattice_OSup__class_OSup(_u2846, hAPP(hAPP(c_Set_Oinsert(_u2846), _u2847), c_Orderings_Obot__class_Obot(tc_fun(_u2846, tc_HOL_Obool)))) = _u2847) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Sup__insert ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Sup__insert-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2848) | ( c_Complete__Lattice_OSup__class_OSup(_u2848, hAPP(hAPP(c_Set_Oinsert(_u2848), _u2849), _u2850)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2848), _u2849), c_Complete__Lattice_OSup__class_OSup(_u2848, _u2850))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_comm__monoid__big_OF__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_comm__monoid__big_OF__eq-1, axiom, ( ~c_Big__Operators_Ocomm__monoid__big(_u2851, _u2852, _u2853, _u2854, _u2855) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2852), _u2856)) | ( hAPP(hAPP(_u2855, _u2857), _u2856) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2851, _u2852, _u2853), _u2857), _u2854), _u2856)) )).
% 19.49/19.68 cnf(fact_comm__monoid__big_OF__eq-2, axiom, ( ~c_Big__Operators_Ocomm__monoid__big(_u2851, _u2852, _u2853, _u2854, _u2855) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2852), _u2856)) | ( hAPP(hAPP(_u2855, _u2857), _u2856) = _u2854) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_fold__image__Un__one ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_fold__image__Un__one-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u2859) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2860), _u2861)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2860), _u2862)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2859, _u2860, c_Groups_Otimes__class_Otimes(_u2859)), _u2863), c_Groups_Oone__class_Oone(_u2859)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2860, tc_HOL_Obool)), _u2861), _u2862)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2859), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2859, _u2860, c_Groups_Otimes__class_Otimes(_u2859)), _u2863), c_Groups_Oone__class_Oone(_u2859)), _u2861)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2859, _u2860, c_Groups_Otimes__class_Otimes(_u2859)), _u2863), c_Groups_Oone__class_Oone(_u2859)), _u2862))) | hBOOL(hAPP(hAPP(c_member(_u2860), skolem42(_u2863, _u2862, _u2861, _u2860, _u2859)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2860, tc_HOL_Obool)), _u2861), _u2862))) )).
% 19.49/19.68 cnf(fact_fold__image__Un__one-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u2859) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2860), _u2861)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2860), _u2862)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2859, _u2860, c_Groups_Otimes__class_Otimes(_u2859)), _u2863), c_Groups_Oone__class_Oone(_u2859)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2860, tc_HOL_Obool)), _u2861), _u2862)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2859), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2859, _u2860, c_Groups_Otimes__class_Otimes(_u2859)), _u2863), c_Groups_Oone__class_Oone(_u2859)), _u2861)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2859, _u2860, c_Groups_Otimes__class_Otimes(_u2859)), _u2863), c_Groups_Oone__class_Oone(_u2859)), _u2862))) | ( hAPP(_u2863, skolem42(_u2863, _u2862, _u2861, _u2860, _u2859)) != c_Groups_Oone__class_Oone(_u2859)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_finite__Union ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_finite__Union-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2865, tc_HOL_Obool)), _u2866)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2865), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2865, tc_HOL_Obool), _u2866))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u2865, tc_HOL_Obool)), skolem43(_u2866, _u2865)), _u2866)) )).
% 19.49/19.68 cnf(fact_finite__Union-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2865, tc_HOL_Obool)), _u2866)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2865), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2865, tc_HOL_Obool), _u2866))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2865), skolem43(_u2866, _u2865))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_folding__image__simple_Ounion__inter__neutral ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_folding__image__simple_Ounion__inter__neutral-1, axiom, ( ~c_Finite__Set_Ofolding__image__simple(_u2868, _u2869, _u2870, _u2871, _u2872, _u2873) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2869), _u2874)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2869), _u2875)) | ( hAPP(_u2873, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2869, tc_HOL_Obool)), _u2874), _u2875)) = hAPP(hAPP(_u2870, hAPP(_u2873, _u2874)), hAPP(_u2873, _u2875))) | hBOOL(hAPP(hAPP(c_member(_u2869), skolem44(_u2875, _u2874, _u2873, _u2872, _u2871, _u2870, _u2869)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2869, tc_HOL_Obool)), _u2874), _u2875))) )).
% 19.49/19.68 cnf(fact_folding__image__simple_Ounion__inter__neutral-2, axiom, ( ~c_Finite__Set_Ofolding__image__simple(_u2868, _u2869, _u2870, _u2871, _u2872, _u2873) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2869), _u2874)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2869), _u2875)) | ( hAPP(_u2873, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2869, tc_HOL_Obool)), _u2874), _u2875)) = hAPP(hAPP(_u2870, hAPP(_u2873, _u2874)), hAPP(_u2873, _u2875))) | ( hAPP(_u2872, skolem44(_u2875, _u2874, _u2873, _u2872, _u2871, _u2870, _u2869)) != _u2871) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_fun__left__comm_Ofold__graph__insertE ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_fun__left__comm_Ofold__graph__insertE-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u2877, _u2878, _u2879) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2877, _u2878, _u2879, _u2880, hAPP(hAPP(c_Set_Oinsert(_u2877), _u2881), _u2882)), _u2883)) | hBOOL(hAPP(hAPP(c_member(_u2877), _u2881), _u2882)) | ( _u2883 = hAPP(hAPP(_u2879, _u2881), skolem45(_u2883, _u2882, _u2881, _u2880, _u2879, _u2878, _u2877))) )).
% 19.49/19.68 cnf(fact_fun__left__comm_Ofold__graph__insertE-2, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u2877, _u2878, _u2879) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2877, _u2878, _u2879, _u2880, hAPP(hAPP(c_Set_Oinsert(_u2877), _u2881), _u2882)), _u2883)) | hBOOL(hAPP(hAPP(c_member(_u2877), _u2881), _u2882)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2877, _u2878, _u2879, _u2880, _u2882), skolem45(_u2883, _u2882, _u2881, _u2880, _u2879, _u2878, _u2877))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setsum__diff1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setsum__diff1-1, axiom, ( ~class_Groups_Oab__group__add(_u2884) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2885), _u2886)) | ~hBOOL(hAPP(hAPP(c_member(_u2885), _u2887), _u2886)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2885, _u2884), _u2888), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2885, tc_HOL_Obool)), _u2886), hAPP(hAPP(c_Set_Oinsert(_u2885), _u2887), c_Orderings_Obot__class_Obot(tc_fun(_u2885, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2884), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2885, _u2884), _u2888), _u2886)), hAPP(_u2888, _u2887))) )).
% 19.49/19.68 cnf(fact_setsum__diff1-2, axiom, ( ~class_Groups_Oab__group__add(_u2884) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2885), _u2886)) | hBOOL(hAPP(hAPP(c_member(_u2885), _u2887), _u2886)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2885, _u2884), _u2888), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2885, tc_HOL_Obool)), _u2886), hAPP(hAPP(c_Set_Oinsert(_u2885), _u2887), c_Orderings_Obot__class_Obot(tc_fun(_u2885, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2885, _u2884), _u2888), _u2886)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setsum__diff1__ring ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setsum__diff1__ring-1, axiom, ( ~class_Rings_Oring(_u2889) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2890), _u2891)) | ~hBOOL(hAPP(hAPP(c_member(_u2890), _u2892), _u2891)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2890, _u2889), _u2893), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2890, tc_HOL_Obool)), _u2891), hAPP(hAPP(c_Set_Oinsert(_u2890), _u2892), c_Orderings_Obot__class_Obot(tc_fun(_u2890, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2889), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2890, _u2889), _u2893), _u2891)), hAPP(_u2893, _u2892))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setsum__diff1_H ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setsum__diff1_H-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2894) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2895), _u2896)) | ~hBOOL(hAPP(hAPP(c_member(_u2895), _u2897), _u2896)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2895, _u2894), _u2898), _u2896) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2894), hAPP(_u2898, _u2897)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2895, _u2894), _u2898), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2895, tc_HOL_Obool)), _u2896), hAPP(hAPP(c_Set_Oinsert(_u2895), _u2897), c_Orderings_Obot__class_Obot(tc_fun(_u2895, tc_HOL_Obool))))))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setsum_Oremove ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setsum_Oremove-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2899) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2900), _u2901)) | ~hBOOL(hAPP(hAPP(c_member(_u2900), _u2902), _u2901)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2900, _u2899), _u2903), _u2901) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2899), hAPP(_u2903, _u2902)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2900, _u2899), _u2903), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2900, tc_HOL_Obool)), _u2901), hAPP(hAPP(c_Set_Oinsert(_u2900), _u2902), c_Orderings_Obot__class_Obot(tc_fun(_u2900, tc_HOL_Obool))))))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setsum_Oinsert ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setsum_Oinsert-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2904) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2905), _u2906)) | hBOOL(hAPP(hAPP(c_member(_u2905), _u2907), _u2906)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2905, _u2904), _u2908), hAPP(hAPP(c_Set_Oinsert(_u2905), _u2907), _u2906)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2904), hAPP(_u2908, _u2907)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2905, _u2904), _u2908), _u2906))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setsum__insert ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setsum__insert-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2909) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2910), _u2911)) | hBOOL(hAPP(hAPP(c_member(_u2910), _u2912), _u2911)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2910, _u2909), _u2913), hAPP(hAPP(c_Set_Oinsert(_u2910), _u2912), _u2911)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2909), hAPP(_u2913, _u2912)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2910, _u2909), _u2913), _u2911))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setsum__Un__Int ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setsum__Un__Int-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2914) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2915), _u2916)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2915), _u2917)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2914), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2915, _u2914), _u2918), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2915, tc_HOL_Obool)), _u2916), _u2917))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2915, _u2914), _u2918), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2915, tc_HOL_Obool)), _u2916), _u2917))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2914), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2915, _u2914), _u2918), _u2916)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2915, _u2914), _u2918), _u2917))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setsum__diff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setsum__diff-1, axiom, ( ~class_Groups_Oab__group__add(_u2919) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2920), _u2921)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2920, tc_HOL_Obool)), _u2922), _u2921)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2920, _u2919), _u2923), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2920, tc_HOL_Obool)), _u2921), _u2922)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2919), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2920, _u2919), _u2923), _u2921)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2920, _u2919), _u2923), _u2922))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setsum__diff__nat ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setsum__diff__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2924), _u2925)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2924, tc_HOL_Obool)), _u2925), _u2926)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2924, tc_Nat_Onat), _u2927), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2924, tc_HOL_Obool)), _u2926), _u2925)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2924, tc_Nat_Onat), _u2927), _u2926)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2924, tc_Nat_Onat), _u2927), _u2925))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setsum_Oinsert__remove ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setsum_Oinsert__remove-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2928) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2929), _u2930)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2929, _u2928), _u2931), hAPP(hAPP(c_Set_Oinsert(_u2929), _u2932), _u2930)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2928), hAPP(_u2931, _u2932)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2929, _u2928), _u2931), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2929, tc_HOL_Obool)), _u2930), hAPP(hAPP(c_Set_Oinsert(_u2929), _u2932), c_Orderings_Obot__class_Obot(tc_fun(_u2929, tc_HOL_Obool))))))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setsum__Un__disjoint ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setsum__Un__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2933) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2934), _u2935)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2934), _u2936)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2934, tc_HOL_Obool)), _u2935), _u2936) != c_Orderings_Obot__class_Obot(tc_fun(_u2934, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2934, _u2933), _u2937), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2934, tc_HOL_Obool)), _u2935), _u2936)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2933), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2934, _u2933), _u2937), _u2935)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2934, _u2933), _u2937), _u2936))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setsum__Un ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setsum__Un-1, axiom, ( ~class_Groups_Oab__group__add(_u2938) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2939), _u2940)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2939), _u2941)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2939, _u2938), _u2942), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2939, tc_HOL_Obool)), _u2940), _u2941)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2938), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2938), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2939, _u2938), _u2942), _u2940)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2939, _u2938), _u2942), _u2941))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2939, _u2938), _u2942), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2939, tc_HOL_Obool)), _u2940), _u2941)))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setsum__diff1__nat ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setsum__diff1__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2947), _u2949), _u2951)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2947, tc_Nat_Onat), _u2953), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2947, tc_HOL_Obool)), _u2951), hAPP(hAPP(c_Set_Oinsert(_u2947), _u2949), c_Orderings_Obot__class_Obot(tc_fun(_u2947, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2947, tc_Nat_Onat), _u2953), _u2951)), hAPP(_u2953, _u2949))) )).
% 19.49/19.68 cnf(fact_setsum__diff1__nat-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2948), _u2950), _u2952)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2948, tc_Nat_Onat), _u2954), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2948, tc_HOL_Obool)), _u2952), hAPP(hAPP(c_Set_Oinsert(_u2948), _u2950), c_Orderings_Obot__class_Obot(tc_fun(_u2948, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2948, tc_Nat_Onat), _u2954), _u2952)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setsum__Un__nat ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setsum__Un__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2955), _u2956)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2955), _u2957)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2955, tc_Nat_Onat), _u2958), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2955, tc_HOL_Obool)), _u2956), _u2957)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2955, tc_Nat_Onat), _u2958), _u2956)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2955, tc_Nat_Onat), _u2958), _u2957))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2955, tc_Nat_Onat), _u2958), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2955, tc_HOL_Obool)), _u2956), _u2957)))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_comm__monoid__big_Oinfinite ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_comm__monoid__big_Oinfinite-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u2960), _u2964)) | ( hAPP(hAPP(_u2963, _u2965), _u2964) = _u2962) | ~c_Big__Operators_Ocomm__monoid__big(_u2959, _u2960, _u2961, _u2962, _u2963) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_insert__partition ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_insert__partition-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u2968, tc_HOL_Obool)), _u2969), _u2970)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2968, tc_HOL_Obool)), _u2969), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2968, tc_HOL_Obool), _u2970)) = c_Orderings_Obot__class_Obot(tc_fun(_u2968, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u2968, tc_HOL_Obool)), skolem46(_u2970, _u2969, _u2968)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u2968, tc_HOL_Obool)), _u2969), _u2970))) )).
% 19.49/19.68 cnf(fact_insert__partition-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u2968, tc_HOL_Obool)), _u2969), _u2970)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2968, tc_HOL_Obool)), _u2969), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2968, tc_HOL_Obool), _u2970)) = c_Orderings_Obot__class_Obot(tc_fun(_u2968, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u2968, tc_HOL_Obool)), skolem47(_u2970, _u2969, _u2968)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u2968, tc_HOL_Obool)), _u2969), _u2970))) )).
% 19.49/19.68 cnf(fact_insert__partition-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u2968, tc_HOL_Obool)), _u2969), _u2970)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2968, tc_HOL_Obool)), _u2969), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2968, tc_HOL_Obool), _u2970)) = c_Orderings_Obot__class_Obot(tc_fun(_u2968, tc_HOL_Obool))) | ( skolem46(_u2970, _u2969, _u2968) != skolem47(_u2970, _u2969, _u2968)) )).
% 19.49/19.68 cnf(fact_insert__partition-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u2968, tc_HOL_Obool)), _u2969), _u2970)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2968, tc_HOL_Obool)), _u2969), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2968, tc_HOL_Obool), _u2970)) = c_Orderings_Obot__class_Obot(tc_fun(_u2968, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2968, tc_HOL_Obool)), skolem46(_u2970, _u2969, _u2968)), skolem47(_u2970, _u2969, _u2968)) != c_Orderings_Obot__class_Obot(tc_fun(_u2968, tc_HOL_Obool))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Powp__mono ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Powp__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2971, tc_HOL_Obool)), _u2972), _u2973)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u2971, tc_HOL_Obool), tc_HOL_Obool)), c_Predicate_OPowp(_u2971, _u2972)), c_Predicate_OPowp(_u2971, _u2973))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setsum__strict__mono ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setsum__strict__mono-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2975) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2975) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2976), _u2977)) | ( _u2977 = c_Orderings_Obot__class_Obot(tc_fun(_u2976, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2975), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2976, _u2975), _u2978), _u2977)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2976, _u2975), _u2979), _u2977))) | hBOOL(hAPP(hAPP(c_member(_u2976), skolem48(_u2979, _u2978, _u2977, _u2976, _u2975)), _u2977)) )).
% 19.49/19.68 cnf(fact_setsum__strict__mono-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2975) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2975) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2976), _u2977)) | ( _u2977 = c_Orderings_Obot__class_Obot(tc_fun(_u2976, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2975), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2976, _u2975), _u2978), _u2977)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2976, _u2975), _u2979), _u2977))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2975), hAPP(_u2978, skolem48(_u2979, _u2978, _u2977, _u2976, _u2975))), hAPP(_u2979, skolem48(_u2979, _u2978, _u2977, _u2976, _u2975)))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setprod_Oremove ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setprod_Oremove-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u2980) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2981), _u2982)) | ~hBOOL(hAPP(hAPP(c_member(_u2981), _u2983), _u2982)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2981, _u2980), _u2984), _u2982) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2980), hAPP(_u2984, _u2983)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2981, _u2980), _u2984), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2981, tc_HOL_Obool)), _u2982), hAPP(hAPP(c_Set_Oinsert(_u2981), _u2983), c_Orderings_Obot__class_Obot(tc_fun(_u2981, tc_HOL_Obool))))))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_convex__bound__lt ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_convex__bound__lt-1, axiom, ( ~class_Rings_Olinordered__semiring__1__strict(_u2985) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2985), _u2986), _u2987)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2985), _u2988), _u2987)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2985), c_Groups_Ozero__class_Ozero(_u2985)), _u2989)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2985), c_Groups_Ozero__class_Ozero(_u2985)), _u2990)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2985), _u2989), _u2990) != c_Groups_Oone__class_Oone(_u2985)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2985), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2985), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2985), _u2989), _u2986)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2985), _u2990), _u2988))), _u2987)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_card__partition ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_card__partition-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2994, tc_HOL_Obool)), _u2995)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2994), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2994, tc_HOL_Obool), _u2995))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u2994, tc_HOL_Obool)), skolem49(_u2996, _u2995, _u2994)), _u2995)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2996), hAPP(c_Finite__Set_Ocard(tc_fun(_u2994, tc_HOL_Obool)), _u2995)) = hAPP(c_Finite__Set_Ocard(_u2994), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2994, tc_HOL_Obool), _u2995))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u2994, tc_HOL_Obool)), skolem50(_u2996, _u2995, _u2994)), _u2995)) )).
% 19.49/19.68 cnf(fact_card__partition-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2994, tc_HOL_Obool)), _u2995)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2994), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2994, tc_HOL_Obool), _u2995))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u2994, tc_HOL_Obool)), skolem49(_u2996, _u2995, _u2994)), _u2995)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2996), hAPP(c_Finite__Set_Ocard(tc_fun(_u2994, tc_HOL_Obool)), _u2995)) = hAPP(c_Finite__Set_Ocard(_u2994), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2994, tc_HOL_Obool), _u2995))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u2994, tc_HOL_Obool)), skolem51(_u2996, _u2995, _u2994)), _u2995)) )).
% 19.49/19.68 cnf(fact_card__partition-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2994, tc_HOL_Obool)), _u2995)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2994), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2994, tc_HOL_Obool), _u2995))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u2994, tc_HOL_Obool)), skolem49(_u2996, _u2995, _u2994)), _u2995)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2996), hAPP(c_Finite__Set_Ocard(tc_fun(_u2994, tc_HOL_Obool)), _u2995)) = hAPP(c_Finite__Set_Ocard(_u2994), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2994, tc_HOL_Obool), _u2995))) | ( skolem50(_u2996, _u2995, _u2994) != skolem51(_u2996, _u2995, _u2994)) )).
% 19.49/19.68 cnf(fact_card__partition-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2994, tc_HOL_Obool)), _u2995)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2994), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2994, tc_HOL_Obool), _u2995))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u2994, tc_HOL_Obool)), skolem49(_u2996, _u2995, _u2994)), _u2995)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2996), hAPP(c_Finite__Set_Ocard(tc_fun(_u2994, tc_HOL_Obool)), _u2995)) = hAPP(c_Finite__Set_Ocard(_u2994), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2994, tc_HOL_Obool), _u2995))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2994, tc_HOL_Obool)), skolem50(_u2996, _u2995, _u2994)), skolem51(_u2996, _u2995, _u2994)) != c_Orderings_Obot__class_Obot(tc_fun(_u2994, tc_HOL_Obool))) )).
% 19.49/19.68 cnf(fact_card__partition-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2994, tc_HOL_Obool)), _u2995)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2994), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2994, tc_HOL_Obool), _u2995))) | ( hAPP(c_Finite__Set_Ocard(_u2994), skolem49(_u2996, _u2995, _u2994)) != _u2996) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2996), hAPP(c_Finite__Set_Ocard(tc_fun(_u2994, tc_HOL_Obool)), _u2995)) = hAPP(c_Finite__Set_Ocard(_u2994), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2994, tc_HOL_Obool), _u2995))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u2994, tc_HOL_Obool)), skolem50(_u2996, _u2995, _u2994)), _u2995)) )).
% 19.49/19.68 cnf(fact_card__partition-6, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2994, tc_HOL_Obool)), _u2995)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2994), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2994, tc_HOL_Obool), _u2995))) | ( hAPP(c_Finite__Set_Ocard(_u2994), skolem49(_u2996, _u2995, _u2994)) != _u2996) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2996), hAPP(c_Finite__Set_Ocard(tc_fun(_u2994, tc_HOL_Obool)), _u2995)) = hAPP(c_Finite__Set_Ocard(_u2994), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2994, tc_HOL_Obool), _u2995))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u2994, tc_HOL_Obool)), skolem51(_u2996, _u2995, _u2994)), _u2995)) )).
% 19.49/19.68 cnf(fact_card__partition-7, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2994, tc_HOL_Obool)), _u2995)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2994), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2994, tc_HOL_Obool), _u2995))) | ( hAPP(c_Finite__Set_Ocard(_u2994), skolem49(_u2996, _u2995, _u2994)) != _u2996) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2996), hAPP(c_Finite__Set_Ocard(tc_fun(_u2994, tc_HOL_Obool)), _u2995)) = hAPP(c_Finite__Set_Ocard(_u2994), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2994, tc_HOL_Obool), _u2995))) | ( skolem50(_u2996, _u2995, _u2994) != skolem51(_u2996, _u2995, _u2994)) )).
% 19.49/19.68 cnf(fact_card__partition-8, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2994, tc_HOL_Obool)), _u2995)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2994), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2994, tc_HOL_Obool), _u2995))) | ( hAPP(c_Finite__Set_Ocard(_u2994), skolem49(_u2996, _u2995, _u2994)) != _u2996) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2996), hAPP(c_Finite__Set_Ocard(tc_fun(_u2994, tc_HOL_Obool)), _u2995)) = hAPP(c_Finite__Set_Ocard(_u2994), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2994, tc_HOL_Obool), _u2995))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2994, tc_HOL_Obool)), skolem50(_u2996, _u2995, _u2994)), skolem51(_u2996, _u2995, _u2994)) != c_Orderings_Obot__class_Obot(tc_fun(_u2994, tc_HOL_Obool))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_fold__image__1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_fold__image__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u2998) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2999), _u3000)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2998, _u2999, c_Groups_Otimes__class_Otimes(_u2998)), _u3001), c_Groups_Oone__class_Oone(_u2998)), _u3000) = c_Groups_Oone__class_Oone(_u2998)) | hBOOL(hAPP(hAPP(c_member(_u2999), skolem52(_u3001, _u3000, _u2999, _u2998)), _u3000)) )).
% 19.49/19.68 cnf(fact_fold__image__1-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u2998) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2999), _u3000)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2998, _u2999, c_Groups_Otimes__class_Otimes(_u2998)), _u3001), c_Groups_Oone__class_Oone(_u2998)), _u3000) = c_Groups_Oone__class_Oone(_u2998)) | ( hAPP(_u3001, skolem52(_u3001, _u3000, _u2999, _u2998)) != c_Groups_Oone__class_Oone(_u2998)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_card__Plus ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_card__Plus-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3002), _u3003)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3004), _u3005)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u3002, _u3004)), c_Sum__Type_OPlus(_u3002, _u3004, _u3003, _u3005)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3002), _u3003)), hAPP(c_Finite__Set_Ocard(_u3004), _u3005))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_fold__image__cong ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_fold__image__cong-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u3007) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3008), _u3009)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3007, _u3008, c_Groups_Otimes__class_Otimes(_u3007)), _u3010), _u3012), _u3009) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3007, _u3008, c_Groups_Otimes__class_Otimes(_u3007)), _u3011), _u3012), _u3009)) | hBOOL(hAPP(hAPP(c_member(_u3008), skolem53(_u3012, _u3011, _u3010, _u3009, _u3008, _u3007)), _u3009)) )).
% 19.49/19.68 cnf(fact_fold__image__cong-2, axiom, ( ~class_Groups_Oab__semigroup__mult(_u3007) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3008), _u3009)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3007, _u3008, c_Groups_Otimes__class_Otimes(_u3007)), _u3010), _u3012), _u3009) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3007, _u3008, c_Groups_Otimes__class_Otimes(_u3007)), _u3011), _u3012), _u3009)) | ( hAPP(_u3010, skolem53(_u3012, _u3011, _u3010, _u3009, _u3008, _u3007)) != hAPP(_u3011, skolem53(_u3012, _u3011, _u3010, _u3009, _u3008, _u3007))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_less__zeroE ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_less__zeroE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3013), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_le0 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_le0-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3014)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_zero__less__Suc ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_zero__less__Suc-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Nat_OSuc, _u3015))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_zero__reorient ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_zero__reorient-1, axiom, ( ~class_Groups_Ozero(_u3016) | ( c_Groups_Ozero__class_Ozero(_u3016) != _u3017) | ( _u3017 = c_Groups_Ozero__class_Ozero(_u3016)) )).
% 19.49/19.68 cnf(fact_zero__reorient-2, axiom, ( ~class_Groups_Ozero(_u3016) | ( _u3017 != c_Groups_Ozero__class_Ozero(_u3016)) | ( c_Groups_Ozero__class_Ozero(_u3016) = _u3017) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setprod__zero__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setprod__zero__iff-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3020) | ~class_Rings_Ono__zero__divisors(_u3020) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3021), _u3022)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3021, _u3020), _u3023), _u3022) != c_Groups_Ozero__class_Ozero(_u3020)) | hBOOL(hAPP(hAPP(c_member(_u3021), skolem54(_u3023, _u3022, _u3021, _u3020)), _u3022)) )).
% 19.49/19.68 cnf(fact_setprod__zero__iff-2, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3020) | ~class_Rings_Ono__zero__divisors(_u3020) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3021), _u3022)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3021, _u3020), _u3023), _u3022) != c_Groups_Ozero__class_Ozero(_u3020)) | ( hAPP(_u3023, skolem54(_u3023, _u3022, _u3021, _u3020)) = c_Groups_Ozero__class_Ozero(_u3020)) )).
% 19.49/19.68 cnf(fact_setprod__zero__iff-3, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3020) | ~class_Rings_Ono__zero__divisors(_u3020) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3021), _u3022)) | ~hBOOL(hAPP(hAPP(c_member(_u3021), _u3019), _u3022)) | ( hAPP(_u3023, _u3019) != c_Groups_Ozero__class_Ozero(_u3020)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3021, _u3020), _u3023), _u3022) = c_Groups_Ozero__class_Ozero(_u3020)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setprod__zero ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setprod__zero-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3025) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3026), _u3027)) | ~hBOOL(hAPP(hAPP(c_member(_u3026), _u3024), _u3027)) | ( hAPP(_u3028, _u3024) != c_Groups_Ozero__class_Ozero(_u3025)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3026, _u3025), _u3028), _u3027) = c_Groups_Ozero__class_Ozero(_u3025)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setprod__pos__nat__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setprod__pos__nat__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3031), _u3032)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3031, tc_Nat_Onat), _u3033), _u3032))) | ~hBOOL(hAPP(hAPP(c_member(_u3031), _u3029), _u3032)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u3033, _u3029))) )).
% 19.49/19.68 cnf(fact_setprod__pos__nat__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3031), _u3032)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3031, tc_Nat_Onat), _u3033), _u3032))) | hBOOL(hAPP(hAPP(c_member(_u3031), skolem55(_u3033, _u3032, _u3031)), _u3032)) )).
% 19.49/19.68 cnf(fact_setprod__pos__nat__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3031), _u3032)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3031, tc_Nat_Onat), _u3033), _u3032))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u3033, skolem55(_u3033, _u3032, _u3031)))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__0__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__0__iff-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u3034) | ( _u3035 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3034), _u3035), _u3036)) | ( _u3036 = c_Groups_Ozero__class_Ozero(_u3034)) )).
% 19.49/19.68 cnf(fact_add__0__iff-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u3034) | ( _u3036 != c_Groups_Ozero__class_Ozero(_u3034)) | ( _u3035 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3034), _u3035), _u3036)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3037) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3037), _u3038), c_Groups_Ozero__class_Ozero(_u3037)) = _u3038) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3039) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3039), c_Groups_Ozero__class_Ozero(_u3039)), _u3040) = _u3040) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__0__left ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__0__left-1, axiom, ( ~class_Groups_Omonoid__add(_u3041) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3041), c_Groups_Ozero__class_Ozero(_u3041)), _u3042) = _u3042) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__0 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__0-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3043) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3043), c_Groups_Ozero__class_Ozero(_u3043)), _u3044) = _u3044) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_double__zero__sym ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_double__zero__sym-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u3045) | ( c_Groups_Ozero__class_Ozero(_u3045) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3045), _u3046), _u3046)) | ( _u3046 = c_Groups_Ozero__class_Ozero(_u3045)) )).
% 19.49/19.68 cnf(fact_double__zero__sym-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u3045) | ( _u3046 != c_Groups_Ozero__class_Ozero(_u3045)) | ( c_Groups_Ozero__class_Ozero(_u3045) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3045), _u3046), _u3046)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__0__right ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__0__right-1, axiom, ( ~class_Groups_Omonoid__add(_u3047) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3047), _u3048), c_Groups_Ozero__class_Ozero(_u3047)) = _u3048) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add_Ocomm__neutral ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add_Ocomm__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3049) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3049), _u3050), c_Groups_Ozero__class_Ozero(_u3049)) = _u3050) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_divisors__zero ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_divisors__zero-1, axiom, ( ~class_Rings_Ono__zero__divisors(_u3051) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3051), _u3052), _u3053) != c_Groups_Ozero__class_Ozero(_u3051)) | ( _u3052 = c_Groups_Ozero__class_Ozero(_u3051)) | ( _u3053 = c_Groups_Ozero__class_Ozero(_u3051)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_no__zero__divisors ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_no__zero__divisors-1, axiom, ( ~class_Rings_Ono__zero__divisors(_u3054) | ( _u3055 = c_Groups_Ozero__class_Ozero(_u3054)) | ( _u3056 = c_Groups_Ozero__class_Ozero(_u3054)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3054), _u3055), _u3056) != c_Groups_Ozero__class_Ozero(_u3054)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__eq__0__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__eq__0__iff-1, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u3057) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3057), _u3058), _u3059) != c_Groups_Ozero__class_Ozero(_u3057)) | ( _u3058 = c_Groups_Ozero__class_Ozero(_u3057)) | ( _u3059 = c_Groups_Ozero__class_Ozero(_u3057)) )).
% 19.49/19.68 cnf(fact_mult__eq__0__iff-2, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u3057) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3057), _u3058), _u3059) = c_Groups_Ozero__class_Ozero(_u3057)) | ( _u3058 != c_Groups_Ozero__class_Ozero(_u3057)) )).
% 19.49/19.68 cnf(fact_mult__eq__0__iff-3, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u3057) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3057), _u3058), _u3059) = c_Groups_Ozero__class_Ozero(_u3057)) | ( _u3059 != c_Groups_Ozero__class_Ozero(_u3057)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3060) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3060), _u3061), c_Groups_Ozero__class_Ozero(_u3060)) = c_Groups_Ozero__class_Ozero(_u3060)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__zero__right ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__zero__right-1, axiom, ( ~class_Rings_Omult__zero(_u3062) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3062), _u3063), c_Groups_Ozero__class_Ozero(_u3062)) = c_Groups_Ozero__class_Ozero(_u3062)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3064) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3064), c_Groups_Ozero__class_Ozero(_u3064)), _u3065) = c_Groups_Ozero__class_Ozero(_u3064)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__zero__left ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__zero__left-1, axiom, ( ~class_Rings_Omult__zero(_u3066) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3066), c_Groups_Ozero__class_Ozero(_u3066)), _u3067) = c_Groups_Ozero__class_Ozero(_u3066)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_right__minus__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_right__minus__eq-1, axiom, ( ~class_Groups_Ogroup__add(_u3068) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3068), _u3069), _u3070) != c_Groups_Ozero__class_Ozero(_u3068)) | ( _u3069 = _u3070) )).
% 19.49/19.68 cnf(fact_right__minus__eq-2, axiom, ( ~class_Groups_Ogroup__add(_u3068) | ( _u3069 != _u3070) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3068), _u3069), _u3070) = c_Groups_Ozero__class_Ozero(_u3068)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_eq__iff__diff__eq__0 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_eq__iff__diff__eq__0-1, axiom, ( ~class_Groups_Oab__group__add(_u3071) | ( _u3072 != _u3073) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3071), _u3072), _u3073) = c_Groups_Ozero__class_Ozero(_u3071)) )).
% 19.49/19.68 cnf(fact_eq__iff__diff__eq__0-2, axiom, ( ~class_Groups_Oab__group__add(_u3071) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3071), _u3072), _u3073) != c_Groups_Ozero__class_Ozero(_u3071)) | ( _u3072 = _u3073) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__self ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__self-1, axiom, ( ~class_Groups_Ogroup__add(_u3074) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3074), _u3075), _u3075) = c_Groups_Ozero__class_Ozero(_u3074)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__0__right ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__0__right-1, axiom, ( ~class_Groups_Ogroup__add(_u3076) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3076), _u3077), c_Groups_Ozero__class_Ozero(_u3076)) = _u3077) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_zero__neq__one ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_zero__neq__one-1, axiom, ( ~class_Rings_Ozero__neq__one(_u3078) | ( c_Groups_Ozero__class_Ozero(_u3078) != c_Groups_Oone__class_Oone(_u3078)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_one__neq__zero ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_one__neq__zero-1, axiom, ( ~class_Rings_Ozero__neq__one(_u3079) | ( c_Groups_Oone__class_Oone(_u3079) != c_Groups_Ozero__class_Ozero(_u3079)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setsum__eq__0__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setsum__eq__0__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3082), _u3083)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3082, tc_Nat_Onat), _u3084), _u3083) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u3082), _u3080), _u3083)) | ( hAPP(_u3084, _u3080) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68 cnf(fact_setsum__eq__0__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3082), _u3083)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3082, tc_Nat_Onat), _u3084), _u3083) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u3082), skolem56(_u3084, _u3083, _u3082)), _u3083)) )).
% 19.49/19.68 cnf(fact_setsum__eq__0__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3082), _u3083)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3082, tc_Nat_Onat), _u3084), _u3083) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(_u3084, skolem56(_u3084, _u3083, _u3082)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Suc__neq__Zero ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Suc__neq__Zero-1, axiom, ( ( hAPP(c_Nat_OSuc, _u3085) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Zero__neq__Suc ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Zero__neq__Suc-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u3086)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nat_Osimps_I3_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nat_Osimps_I3_J-1, axiom, ( ( hAPP(c_Nat_OSuc, _u3087) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Suc__not__Zero ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Suc__not__Zero-1, axiom, ( ( hAPP(c_Nat_OSuc, _u3088) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nat_Osimps_I2_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nat_Osimps_I2_J-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u3089)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Zero__not__Suc ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Zero__not__Suc-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u3090)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_gr0I ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_gr0I-1, axiom, ( ( _u3091 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3091)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_gr__implies__not0 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_gr__implies__not0-1, axiom, ( ( _u3093 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3092), _u3093)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_less__nat__zero__code ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_less__nat__zero__code-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3094), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_neq0__conv ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_neq0__conv-1, axiom, ( ( _u3096 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3096)) )).
% 19.49/19.68 cnf(fact_neq0__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3097)) | ( _u3097 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_not__less0 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_not__less0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3098), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_plus__nat_Oadd__0 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_plus__nat_Oadd__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3099) = _u3099) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Nat_Oadd__0__right ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Nat_Oadd__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3100), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u3100) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__is__0 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__is__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3103), _u3105) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3103 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68 cnf(fact_add__is__0-2, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3103), _u3105) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3105 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68 cnf(fact_add__is__0-3, axiom, ( ( _u3104 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3106 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3104), _u3106) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__eq__self__zero ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__eq__self__zero-1, axiom, ( ( _u3108 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3107), _u3108) != _u3107) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_le__0__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_le__0__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3110), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3110 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68 cnf(fact_le__0__eq-2, axiom, ( ( _u3111 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3111), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_less__eq__nat_Osimps_I1_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_less__eq__nat_Osimps_I1_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3112)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diffs0__imp__equal ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diffs0__imp__equal-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3113), _u3114) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3114), _u3113) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3113 = _u3114) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__self__eq__0 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__self__eq__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3115), _u3115) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_minus__nat_Odiff__0 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_minus__nat_Odiff__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3116), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u3116) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__0__eq__0 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__0__eq__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3117) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nat__mult__eq__cancel__disj ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nat__mult__eq__cancel__disj-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3121), _u3123) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3121), _u3125)) | ( _u3121 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3123 = _u3125) )).
% 19.49/19.68 cnf(fact_nat__mult__eq__cancel__disj-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3122), _u3124) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3122), _u3126)) | ( _u3122 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68 cnf(fact_nat__mult__eq__cancel__disj-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3122), _u3124) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3122), _u3126)) | ( _u3124 != _u3126) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__cancel2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__cancel2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3130), _u3132) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3134), _u3132)) | ( _u3130 = _u3134) | ( _u3132 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68 cnf(fact_mult__cancel2-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3131), _u3133) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3135), _u3133)) | ( _u3131 != _u3135) )).
% 19.49/19.68 cnf(fact_mult__cancel2-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3131), _u3133) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3135), _u3133)) | ( _u3133 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__cancel1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__cancel1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3139), _u3141) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3139), _u3143)) | ( _u3141 = _u3143) | ( _u3139 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68 cnf(fact_mult__cancel1-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3140), _u3142) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3140), _u3144)) | ( _u3142 != _u3144) )).
% 19.49/19.68 cnf(fact_mult__cancel1-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3140), _u3142) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3140), _u3144)) | ( _u3140 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__is__0 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__is__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3147), _u3149) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3147 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3149 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68 cnf(fact_mult__is__0-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3148), _u3150) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3148 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68 cnf(fact_mult__is__0-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3148), _u3150) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3150 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__0__right ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3151), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__0 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3152) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setprod_Oempty ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setprod_Oempty-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3153) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3154, _u3153), _u3155), c_Orderings_Obot__class_Obot(tc_fun(_u3154, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u3153)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setprod__empty ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setprod__empty-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3156) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3157, _u3156), _u3158), c_Orderings_Obot__class_Obot(tc_fun(_u3157, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u3156)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setprod_Oinfinite ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setprod_Oinfinite-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3159) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3160), _u3161)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3160, _u3159), _u3162), _u3161) = c_Groups_Oone__class_Oone(_u3159)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setprod__infinite ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setprod__infinite-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3163) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3164), _u3165)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3164, _u3163), _u3166), _u3165) = c_Groups_Oone__class_Oone(_u3163)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setprod__eq__1__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setprod__eq__1__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3169), _u3170)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3169, tc_Nat_Onat), _u3171), _u3170) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u3169), _u3167), _u3170)) | ( hAPP(_u3171, _u3167) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 19.49/19.68 cnf(fact_setprod__eq__1__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3169), _u3170)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3169, tc_Nat_Onat), _u3171), _u3170) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u3169), skolem57(_u3171, _u3170, _u3169)), _u3170)) )).
% 19.49/19.68 cnf(fact_setprod__eq__1__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3169), _u3170)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3169, tc_Nat_Onat), _u3171), _u3170) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u3171, skolem57(_u3171, _u3170, _u3169)) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_finite__Plus__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_finite__Plus__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u3176, _u3178)), c_Sum__Type_OPlus(_u3176, _u3178, _u3180, _u3182))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3176), _u3180)) )).
% 19.49/19.68 cnf(fact_finite__Plus__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u3176, _u3178)), c_Sum__Type_OPlus(_u3176, _u3178, _u3180, _u3182))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3178), _u3182)) )).
% 19.49/19.68 cnf(fact_finite__Plus__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3177), _u3181)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3179), _u3183)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u3177, _u3179)), c_Sum__Type_OPlus(_u3177, _u3179, _u3181, _u3183))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_finite__Plus ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_finite__Plus-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3184), _u3185)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3186), _u3187)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u3184, _u3186)), c_Sum__Type_OPlus(_u3184, _u3186, _u3185, _u3187))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_finite__PlusD_I1_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_finite__PlusD_I1_J-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u3188, _u3189)), c_Sum__Type_OPlus(_u3188, _u3189, _u3190, _u3191))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3188), _u3190)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_finite__PlusD_I2_J ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_finite__PlusD_I2_J-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u3193), _u3195)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u3192, _u3193)), c_Sum__Type_OPlus(_u3192, _u3193, _u3194, _u3195))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_card__Plus__conv__if ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_card__Plus__conv__if-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3200), _u3202)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3204), _u3206)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u3200, _u3204)), c_Sum__Type_OPlus(_u3200, _u3204, _u3202, _u3206)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3200), _u3202)), hAPP(c_Finite__Set_Ocard(_u3204), _u3206))) )).
% 19.49/19.68 cnf(fact_card__Plus__conv__if-2, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u3201, _u3205)), c_Sum__Type_OPlus(_u3201, _u3205, _u3203, _u3207)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3201), _u3203)) )).
% 19.49/19.68 cnf(fact_card__Plus__conv__if-3, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u3201, _u3205)), c_Sum__Type_OPlus(_u3201, _u3205, _u3203, _u3207)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3205), _u3207)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_zero__le__double__add__iff__zero__le__single__add ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_zero__le__double__add__iff__zero__le__single__add-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u3208) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3208), c_Groups_Ozero__class_Ozero(_u3208)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3208), _u3209), _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3208), c_Groups_Ozero__class_Ozero(_u3208)), _u3209)) )).
% 19.49/19.68 cnf(fact_zero__le__double__add__iff__zero__le__single__add-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u3208) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3208), c_Groups_Ozero__class_Ozero(_u3208)), _u3209)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3208), c_Groups_Ozero__class_Ozero(_u3208)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3208), _u3209), _u3209))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_double__add__le__zero__iff__single__add__le__zero ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_double__add__le__zero__iff__single__add__le__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u3210) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3210), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3210), _u3211), _u3211)), c_Groups_Ozero__class_Ozero(_u3210))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3210), _u3211), c_Groups_Ozero__class_Ozero(_u3210))) )).
% 19.49/19.68 cnf(fact_double__add__le__zero__iff__single__add__le__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u3210) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3210), _u3211), c_Groups_Ozero__class_Ozero(_u3210))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3210), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3210), _u3211), _u3211)), c_Groups_Ozero__class_Ozero(_u3210))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__nonneg__nonneg ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__nonneg__nonneg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3212) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3212), c_Groups_Ozero__class_Ozero(_u3212)), _u3213)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3212), c_Groups_Ozero__class_Ozero(_u3212)), _u3214)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3212), c_Groups_Ozero__class_Ozero(_u3212)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3212), _u3213), _u3214))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__nonneg__eq__0__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__nonneg__eq__0__iff-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3215) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3215), c_Groups_Ozero__class_Ozero(_u3215)), _u3216)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3215), c_Groups_Ozero__class_Ozero(_u3215)), _u3217)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3215), _u3216), _u3217) != c_Groups_Ozero__class_Ozero(_u3215)) | ( _u3216 = c_Groups_Ozero__class_Ozero(_u3215)) )).
% 19.49/19.68 cnf(fact_add__nonneg__eq__0__iff-2, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3215) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3215), c_Groups_Ozero__class_Ozero(_u3215)), _u3216)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3215), c_Groups_Ozero__class_Ozero(_u3215)), _u3217)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3215), _u3216), _u3217) != c_Groups_Ozero__class_Ozero(_u3215)) | ( _u3217 = c_Groups_Ozero__class_Ozero(_u3215)) )).
% 19.49/19.68 cnf(fact_add__nonneg__eq__0__iff-3, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3215) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3215), c_Groups_Ozero__class_Ozero(_u3215)), _u3216)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3215), c_Groups_Ozero__class_Ozero(_u3215)), _u3217)) | ( _u3216 != c_Groups_Ozero__class_Ozero(_u3215)) | ( _u3217 != c_Groups_Ozero__class_Ozero(_u3215)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3215), _u3216), _u3217) = c_Groups_Ozero__class_Ozero(_u3215)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__increasing ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__increasing-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3218) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3218), c_Groups_Ozero__class_Ozero(_u3218)), _u3219)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3218), _u3220), _u3221)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3218), _u3220), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3218), _u3219), _u3221))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__increasing2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__increasing2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3222) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3222), c_Groups_Ozero__class_Ozero(_u3222)), _u3223)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3222), _u3224), _u3225)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3222), _u3224), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3222), _u3225), _u3223))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__nonpos__nonpos ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__nonpos__nonpos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3226) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3226), _u3227), c_Groups_Ozero__class_Ozero(_u3226))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3226), _u3228), c_Groups_Ozero__class_Ozero(_u3226))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3226), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3226), _u3227), _u3228)), c_Groups_Ozero__class_Ozero(_u3226))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_split__mult__neg__le ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_split__mult__neg__le-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u3229) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3229), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3229), _u3230), _u3231)), c_Groups_Ozero__class_Ozero(_u3229))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3229), c_Groups_Ozero__class_Ozero(_u3229)), _u3230)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3229), _u3231), c_Groups_Ozero__class_Ozero(_u3229))) )).
% 19.49/19.68 cnf(fact_split__mult__neg__le-2, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u3229) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3229), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3229), _u3230), _u3231)), c_Groups_Ozero__class_Ozero(_u3229))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3229), _u3230), c_Groups_Ozero__class_Ozero(_u3229))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3229), c_Groups_Ozero__class_Ozero(_u3229)), _u3231)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_split__mult__pos__le ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_split__mult__pos__le-1, axiom, ( ~class_Rings_Oordered__ring(_u3232) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3232), c_Groups_Ozero__class_Ozero(_u3232)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3232), _u3233), _u3234))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3232), c_Groups_Ozero__class_Ozero(_u3232)), _u3233)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3232), c_Groups_Ozero__class_Ozero(_u3232)), _u3234)) )).
% 19.49/19.68 cnf(fact_split__mult__pos__le-2, axiom, ( ~class_Rings_Oordered__ring(_u3232) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3232), c_Groups_Ozero__class_Ozero(_u3232)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3232), _u3233), _u3234))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3232), _u3233), c_Groups_Ozero__class_Ozero(_u3232))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3232), _u3234), c_Groups_Ozero__class_Ozero(_u3232))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__mono ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u3235) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3235), _u3236), _u3237)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3235), _u3238), _u3239)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3235), c_Groups_Ozero__class_Ozero(_u3235)), _u3237)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3235), c_Groups_Ozero__class_Ozero(_u3235)), _u3238)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3235), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3235), _u3236), _u3238)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3235), _u3237), _u3239))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__mono_H ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__mono_H-1, axiom, ( ~class_Rings_Oordered__semiring(_u3240) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3240), _u3241), _u3242)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3240), _u3243), _u3244)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3240), c_Groups_Ozero__class_Ozero(_u3240)), _u3241)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3240), c_Groups_Ozero__class_Ozero(_u3240)), _u3243)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3240), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3240), _u3241), _u3243)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3240), _u3242), _u3244))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__left__mono__neg ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__left__mono__neg-1, axiom, ( ~class_Rings_Oordered__ring(_u3245) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3245), _u3246), _u3247)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3245), _u3248), c_Groups_Ozero__class_Ozero(_u3245))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3245), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3245), _u3248), _u3247)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3245), _u3248), _u3246))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__right__mono__neg ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__right__mono__neg-1, axiom, ( ~class_Rings_Oordered__ring(_u3249) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3249), _u3250), _u3251)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3249), _u3252), c_Groups_Ozero__class_Ozero(_u3249))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3249), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3249), _u3251), _u3252)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3249), _u3250), _u3252))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_comm__mult__left__mono ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_comm__mult__left__mono-1, axiom, ( ~class_Rings_Oordered__comm__semiring(_u3253) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3253), _u3254), _u3255)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3253), c_Groups_Ozero__class_Ozero(_u3253)), _u3256)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3253), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3253), _u3256), _u3254)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3253), _u3256), _u3255))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__left__mono ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__left__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u3257) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3257), _u3258), _u3259)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3257), c_Groups_Ozero__class_Ozero(_u3257)), _u3260)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3257), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3257), _u3260), _u3258)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3257), _u3260), _u3259))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__right__mono ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__right__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u3261) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3261), _u3262), _u3263)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3261), c_Groups_Ozero__class_Ozero(_u3261)), _u3264)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3261), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3261), _u3262), _u3264)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3261), _u3263), _u3264))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__nonpos__nonpos ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__nonpos__nonpos-1, axiom, ( ~class_Rings_Oordered__ring(_u3265) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3265), _u3266), c_Groups_Ozero__class_Ozero(_u3265))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3265), _u3267), c_Groups_Ozero__class_Ozero(_u3265))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3265), c_Groups_Ozero__class_Ozero(_u3265)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3265), _u3266), _u3267))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__nonpos__nonneg ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__nonpos__nonneg-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u3268) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3268), _u3269), c_Groups_Ozero__class_Ozero(_u3268))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3268), c_Groups_Ozero__class_Ozero(_u3268)), _u3270)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3268), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3268), _u3269), _u3270)), c_Groups_Ozero__class_Ozero(_u3268))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__nonneg__nonpos2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__nonneg__nonpos2-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u3271) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3271), c_Groups_Ozero__class_Ozero(_u3271)), _u3272)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3271), _u3273), c_Groups_Ozero__class_Ozero(_u3271))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3271), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3271), _u3273), _u3272)), c_Groups_Ozero__class_Ozero(_u3271))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__nonneg__nonpos ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__nonneg__nonpos-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u3274) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3274), c_Groups_Ozero__class_Ozero(_u3274)), _u3275)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3274), _u3276), c_Groups_Ozero__class_Ozero(_u3274))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3274), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3274), _u3275), _u3276)), c_Groups_Ozero__class_Ozero(_u3274))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__nonneg__nonneg ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__nonneg__nonneg-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u3277) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3277), c_Groups_Ozero__class_Ozero(_u3277)), _u3278)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3277), c_Groups_Ozero__class_Ozero(_u3277)), _u3279)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3277), c_Groups_Ozero__class_Ozero(_u3277)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3277), _u3278), _u3279))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__le__0__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__le__0__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3280) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3280), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3280), _u3281), _u3282)), c_Groups_Ozero__class_Ozero(_u3280))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3280), c_Groups_Ozero__class_Ozero(_u3280)), _u3281)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3280), _u3281), c_Groups_Ozero__class_Ozero(_u3280))) )).
% 19.49/19.68 cnf(fact_mult__le__0__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3280) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3280), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3280), _u3281), _u3282)), c_Groups_Ozero__class_Ozero(_u3280))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3280), c_Groups_Ozero__class_Ozero(_u3280)), _u3281)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3280), c_Groups_Ozero__class_Ozero(_u3280)), _u3282)) )).
% 19.49/19.68 cnf(fact_mult__le__0__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3280) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3280), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3280), _u3281), _u3282)), c_Groups_Ozero__class_Ozero(_u3280))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3280), _u3282), c_Groups_Ozero__class_Ozero(_u3280))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3280), _u3281), c_Groups_Ozero__class_Ozero(_u3280))) )).
% 19.49/19.68 cnf(fact_mult__le__0__iff-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3280) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3280), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3280), _u3281), _u3282)), c_Groups_Ozero__class_Ozero(_u3280))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3280), _u3282), c_Groups_Ozero__class_Ozero(_u3280))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3280), c_Groups_Ozero__class_Ozero(_u3280)), _u3282)) )).
% 19.49/19.68 cnf(fact_mult__le__0__iff-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3280) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3280), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3280), _u3281), _u3282)), c_Groups_Ozero__class_Ozero(_u3280))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3280), c_Groups_Ozero__class_Ozero(_u3280)), _u3281)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3280), _u3282), c_Groups_Ozero__class_Ozero(_u3280))) )).
% 19.49/19.68 cnf(fact_mult__le__0__iff-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3280) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3280), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3280), _u3281), _u3282)), c_Groups_Ozero__class_Ozero(_u3280))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3280), _u3281), c_Groups_Ozero__class_Ozero(_u3280))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3280), c_Groups_Ozero__class_Ozero(_u3280)), _u3282)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_zero__le__mult__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_zero__le__mult__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3283) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3283), c_Groups_Ozero__class_Ozero(_u3283)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3283), _u3284), _u3285))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3283), c_Groups_Ozero__class_Ozero(_u3283)), _u3284)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3283), _u3284), c_Groups_Ozero__class_Ozero(_u3283))) )).
% 19.49/19.68 cnf(fact_zero__le__mult__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3283) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3283), c_Groups_Ozero__class_Ozero(_u3283)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3283), _u3284), _u3285))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3283), c_Groups_Ozero__class_Ozero(_u3283)), _u3284)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3283), _u3285), c_Groups_Ozero__class_Ozero(_u3283))) )).
% 19.49/19.68 cnf(fact_zero__le__mult__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3283) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3283), c_Groups_Ozero__class_Ozero(_u3283)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3283), _u3284), _u3285))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3283), c_Groups_Ozero__class_Ozero(_u3283)), _u3285)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3283), _u3284), c_Groups_Ozero__class_Ozero(_u3283))) )).
% 19.49/19.68 cnf(fact_zero__le__mult__iff-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3283) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3283), c_Groups_Ozero__class_Ozero(_u3283)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3283), _u3284), _u3285))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3283), c_Groups_Ozero__class_Ozero(_u3283)), _u3285)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3283), _u3285), c_Groups_Ozero__class_Ozero(_u3283))) )).
% 19.49/19.68 cnf(fact_zero__le__mult__iff-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3283) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3283), c_Groups_Ozero__class_Ozero(_u3283)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3283), _u3284), _u3285))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3283), c_Groups_Ozero__class_Ozero(_u3283)), _u3284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3283), c_Groups_Ozero__class_Ozero(_u3283)), _u3285)) )).
% 19.49/19.68 cnf(fact_zero__le__mult__iff-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3283) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3283), c_Groups_Ozero__class_Ozero(_u3283)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3283), _u3284), _u3285))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3283), _u3284), c_Groups_Ozero__class_Ozero(_u3283))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3283), _u3285), c_Groups_Ozero__class_Ozero(_u3283))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_zero__le__square ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_zero__le__square-1, axiom, ( ~class_Rings_Olinordered__ring(_u3286) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3286), c_Groups_Ozero__class_Ozero(_u3286)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3286), _u3287), _u3287))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_zero__less__double__add__iff__zero__less__single__add ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_zero__less__double__add__iff__zero__less__single__add-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u3288) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3288), c_Groups_Ozero__class_Ozero(_u3288)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3288), _u3289), _u3289))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3288), c_Groups_Ozero__class_Ozero(_u3288)), _u3289)) )).
% 19.49/19.68 cnf(fact_zero__less__double__add__iff__zero__less__single__add-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u3288) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3288), c_Groups_Ozero__class_Ozero(_u3288)), _u3289)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3288), c_Groups_Ozero__class_Ozero(_u3288)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3288), _u3289), _u3289))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_double__add__less__zero__iff__single__add__less__zero ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_double__add__less__zero__iff__single__add__less__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u3290) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3290), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3290), _u3291), _u3291)), c_Groups_Ozero__class_Ozero(_u3290))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3290), _u3291), c_Groups_Ozero__class_Ozero(_u3290))) )).
% 19.49/19.68 cnf(fact_double__add__less__zero__iff__single__add__less__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u3290) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3290), _u3291), c_Groups_Ozero__class_Ozero(_u3290))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3290), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3290), _u3291), _u3291)), c_Groups_Ozero__class_Ozero(_u3290))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__pos__pos ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__pos__pos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3292) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3292), c_Groups_Ozero__class_Ozero(_u3292)), _u3293)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3292), c_Groups_Ozero__class_Ozero(_u3292)), _u3294)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3292), c_Groups_Ozero__class_Ozero(_u3292)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3292), _u3293), _u3294))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__neg__neg ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__neg__neg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3295) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3295), _u3296), c_Groups_Ozero__class_Ozero(_u3295))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3295), _u3297), c_Groups_Ozero__class_Ozero(_u3295))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3295), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3295), _u3296), _u3297)), c_Groups_Ozero__class_Ozero(_u3295))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_pos__add__strict ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_pos__add__strict-1, axiom, ( ~class_Rings_Olinordered__semidom(_u3298) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3298), c_Groups_Ozero__class_Ozero(_u3298)), _u3299)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3298), _u3300), _u3301)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3298), _u3300), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3298), _u3299), _u3301))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_not__square__less__zero ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_not__square__less__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u3302) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3302), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3302), _u3303), _u3303)), c_Groups_Ozero__class_Ozero(_u3302))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__less__cancel__right__disj ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__less__cancel__right__disj-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3304) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3304), _u3305), _u3306)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3304), _u3307), _u3306))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), c_Groups_Ozero__class_Ozero(_u3304)), _u3306)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), _u3306), c_Groups_Ozero__class_Ozero(_u3304))) )).
% 19.49/19.68 cnf(fact_mult__less__cancel__right__disj-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3304) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3304), _u3305), _u3306)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3304), _u3307), _u3306))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), c_Groups_Ozero__class_Ozero(_u3304)), _u3306)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), _u3307), _u3305)) )).
% 19.49/19.68 cnf(fact_mult__less__cancel__right__disj-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3304) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3304), _u3305), _u3306)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3304), _u3307), _u3306))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), _u3305), _u3307)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), _u3306), c_Groups_Ozero__class_Ozero(_u3304))) )).
% 19.49/19.68 cnf(fact_mult__less__cancel__right__disj-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3304) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3304), _u3305), _u3306)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3304), _u3307), _u3306))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), _u3305), _u3307)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), _u3307), _u3305)) )).
% 19.49/19.68 cnf(fact_mult__less__cancel__right__disj-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3304) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3304), _u3305), _u3306)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3304), _u3307), _u3306))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), c_Groups_Ozero__class_Ozero(_u3304)), _u3306)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), _u3305), _u3307)) )).
% 19.49/19.68 cnf(fact_mult__less__cancel__right__disj-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3304) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3304), _u3305), _u3306)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3304), _u3307), _u3306))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), _u3306), c_Groups_Ozero__class_Ozero(_u3304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), _u3307), _u3305)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__less__cancel__left__disj ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__less__cancel__left__disj-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3308) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3308), _u3309), _u3310)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3308), _u3309), _u3311))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), c_Groups_Ozero__class_Ozero(_u3308)), _u3309)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), _u3309), c_Groups_Ozero__class_Ozero(_u3308))) )).
% 19.49/19.68 cnf(fact_mult__less__cancel__left__disj-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3308) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3308), _u3309), _u3310)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3308), _u3309), _u3311))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), c_Groups_Ozero__class_Ozero(_u3308)), _u3309)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), _u3311), _u3310)) )).
% 19.49/19.68 cnf(fact_mult__less__cancel__left__disj-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3308) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3308), _u3309), _u3310)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3308), _u3309), _u3311))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), _u3310), _u3311)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), _u3309), c_Groups_Ozero__class_Ozero(_u3308))) )).
% 19.49/19.68 cnf(fact_mult__less__cancel__left__disj-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3308) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3308), _u3309), _u3310)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3308), _u3309), _u3311))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), _u3310), _u3311)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), _u3311), _u3310)) )).
% 19.49/19.68 cnf(fact_mult__less__cancel__left__disj-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3308) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3308), _u3309), _u3310)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3308), _u3309), _u3311))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), c_Groups_Ozero__class_Ozero(_u3308)), _u3309)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), _u3310), _u3311)) )).
% 19.49/19.68 cnf(fact_mult__less__cancel__left__disj-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3308) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3308), _u3309), _u3310)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3308), _u3309), _u3311))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), _u3309), c_Groups_Ozero__class_Ozero(_u3308))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), _u3311), _u3310)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__less__cancel__left__pos ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__less__cancel__left__pos-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3312) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3312), c_Groups_Ozero__class_Ozero(_u3312)), _u3313)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3312), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3312), _u3313), _u3314)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3312), _u3313), _u3315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3312), _u3314), _u3315)) )).
% 19.49/19.68 cnf(fact_mult__less__cancel__left__pos-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3312) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3312), c_Groups_Ozero__class_Ozero(_u3312)), _u3313)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3312), _u3314), _u3315)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3312), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3312), _u3313), _u3314)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3312), _u3313), _u3315))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__pos__pos ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__pos__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u3316) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3316), c_Groups_Ozero__class_Ozero(_u3316)), _u3317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3316), c_Groups_Ozero__class_Ozero(_u3316)), _u3318)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3316), c_Groups_Ozero__class_Ozero(_u3316)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3316), _u3317), _u3318))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__pos__neg ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__pos__neg-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u3319) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3319), c_Groups_Ozero__class_Ozero(_u3319)), _u3320)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3319), _u3321), c_Groups_Ozero__class_Ozero(_u3319))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3319), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3319), _u3320), _u3321)), c_Groups_Ozero__class_Ozero(_u3319))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__pos__neg2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__pos__neg2-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u3322) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3322), c_Groups_Ozero__class_Ozero(_u3322)), _u3323)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3322), _u3324), c_Groups_Ozero__class_Ozero(_u3322))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3322), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3322), _u3324), _u3323)), c_Groups_Ozero__class_Ozero(_u3322))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_zero__less__mult__pos ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_zero__less__mult__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u3325) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3325), c_Groups_Ozero__class_Ozero(_u3325)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3325), _u3326), _u3327))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3325), c_Groups_Ozero__class_Ozero(_u3325)), _u3326)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3325), c_Groups_Ozero__class_Ozero(_u3325)), _u3327)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_zero__less__mult__pos2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_zero__less__mult__pos2-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u3328) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3328), c_Groups_Ozero__class_Ozero(_u3328)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3328), _u3329), _u3330))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3328), c_Groups_Ozero__class_Ozero(_u3328)), _u3330)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3328), c_Groups_Ozero__class_Ozero(_u3328)), _u3329)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__less__cancel__left__neg ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__less__cancel__left__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3331) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3331), _u3332), c_Groups_Ozero__class_Ozero(_u3331))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3331), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3331), _u3332), _u3333)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3331), _u3332), _u3334))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3331), _u3334), _u3333)) )).
% 19.49/19.68 cnf(fact_mult__less__cancel__left__neg-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3331) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3331), _u3332), c_Groups_Ozero__class_Ozero(_u3331))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3331), _u3334), _u3333)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3331), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3331), _u3332), _u3333)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3331), _u3332), _u3334))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__neg__pos ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__neg__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u3335) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3335), _u3336), c_Groups_Ozero__class_Ozero(_u3335))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3335), c_Groups_Ozero__class_Ozero(_u3335)), _u3337)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3335), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3335), _u3336), _u3337)), c_Groups_Ozero__class_Ozero(_u3335))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__neg__neg ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__neg__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3338) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3338), _u3339), c_Groups_Ozero__class_Ozero(_u3338))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3338), _u3340), c_Groups_Ozero__class_Ozero(_u3338))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3338), c_Groups_Ozero__class_Ozero(_u3338)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3338), _u3339), _u3340))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__strict__right__mono ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__strict__right__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u3341) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3341), _u3342), _u3343)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3341), c_Groups_Ozero__class_Ozero(_u3341)), _u3344)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3341), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3341), _u3342), _u3344)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3341), _u3343), _u3344))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__strict__left__mono ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__strict__left__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u3345) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3345), _u3346), _u3347)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3345), c_Groups_Ozero__class_Ozero(_u3345)), _u3348)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3345), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3345), _u3348), _u3346)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3345), _u3348), _u3347))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_comm__mult__strict__left__mono ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_comm__mult__strict__left__mono-1, axiom, ( ~class_Rings_Olinordered__comm__semiring__strict(_u3349) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3349), _u3350), _u3351)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3349), c_Groups_Ozero__class_Ozero(_u3349)), _u3352)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3349), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3349), _u3352), _u3350)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3349), _u3352), _u3351))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__strict__right__mono__neg ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__strict__right__mono__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3353) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3353), _u3354), _u3355)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3353), _u3356), c_Groups_Ozero__class_Ozero(_u3353))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3353), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3353), _u3355), _u3356)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3353), _u3354), _u3356))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__strict__left__mono__neg ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__strict__left__mono__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3357) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3357), _u3358), _u3359)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3357), _u3360), c_Groups_Ozero__class_Ozero(_u3357))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3357), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3357), _u3360), _u3359)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3357), _u3360), _u3358))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_le__iff__diff__le__0 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_le__iff__diff__le__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3361) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3361), _u3362), _u3363)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3361), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3361), _u3362), _u3363)), c_Groups_Ozero__class_Ozero(_u3361))) )).
% 19.49/19.68 cnf(fact_le__iff__diff__le__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3361) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3361), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3361), _u3362), _u3363)), c_Groups_Ozero__class_Ozero(_u3361))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3361), _u3362), _u3363)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_less__iff__diff__less__0 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_less__iff__diff__less__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3364) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3364), _u3365), _u3366)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3364), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3364), _u3365), _u3366)), c_Groups_Ozero__class_Ozero(_u3364))) )).
% 19.49/19.68 cnf(fact_less__iff__diff__less__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3364) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3364), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3364), _u3365), _u3366)), c_Groups_Ozero__class_Ozero(_u3364))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3364), _u3365), _u3366)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__scale__eq__noteq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__scale__eq__noteq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u3367) | ( _u3368 = c_Groups_Ozero__class_Ozero(_u3367)) | ( _u3369 != _u3370) | ( _u3371 = _u3372) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3367), _u3369), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3367), _u3368), _u3371)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3367), _u3370), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3367), _u3368), _u3372))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_sum__squares__eq__zero__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_sum__squares__eq__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3373) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3373), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3373), _u3374), _u3374)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3373), _u3375), _u3375)) != c_Groups_Ozero__class_Ozero(_u3373)) | ( _u3374 = c_Groups_Ozero__class_Ozero(_u3373)) )).
% 19.49/19.68 cnf(fact_sum__squares__eq__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3373) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3373), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3373), _u3374), _u3374)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3373), _u3375), _u3375)) != c_Groups_Ozero__class_Ozero(_u3373)) | ( _u3375 = c_Groups_Ozero__class_Ozero(_u3373)) )).
% 19.49/19.68 cnf(fact_sum__squares__eq__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3373) | ( _u3374 != c_Groups_Ozero__class_Ozero(_u3373)) | ( _u3375 != c_Groups_Ozero__class_Ozero(_u3373)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3373), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3373), _u3374), _u3374)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3373), _u3375), _u3375)) = c_Groups_Ozero__class_Ozero(_u3373)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_zero__le__one ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_zero__le__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u3376) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3376), c_Groups_Ozero__class_Ozero(_u3376)), c_Groups_Oone__class_Oone(_u3376))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_not__one__le__zero ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_not__one__le__zero-1, axiom, ( ~class_Rings_Olinordered__semidom(_u3377) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3377), c_Groups_Oone__class_Oone(_u3377)), c_Groups_Ozero__class_Ozero(_u3377))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_not__one__less__zero ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_not__one__less__zero-1, axiom, ( ~class_Rings_Olinordered__semidom(_u3378) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3378), c_Groups_Oone__class_Oone(_u3378)), c_Groups_Ozero__class_Ozero(_u3378))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_zero__less__one ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_zero__less__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u3379) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3379), c_Groups_Ozero__class_Ozero(_u3379)), c_Groups_Oone__class_Oone(_u3379))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setsum_Oempty ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setsum_Oempty-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3380) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3381, _u3380), _u3382), c_Orderings_Obot__class_Obot(tc_fun(_u3381, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u3380)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setsum__empty ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setsum__empty-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3383) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3384, _u3383), _u3385), c_Orderings_Obot__class_Obot(tc_fun(_u3384, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u3383)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setsum__infinite ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setsum__infinite-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3386) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3387), _u3388)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3387, _u3386), _u3389), _u3388) = c_Groups_Ozero__class_Ozero(_u3386)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setsum_Oinfinite ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setsum_Oinfinite-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3390) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3391), _u3392)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3391, _u3390), _u3393), _u3392) = c_Groups_Ozero__class_Ozero(_u3390)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setsum__eq__Suc0__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setsum__eq__Suc0__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3398), _u3399)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3398, tc_Nat_Onat), _u3400), _u3399) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u3398), skolem58(_u3400, _u3399, _u3398)), _u3399)) )).
% 19.49/19.68 cnf(fact_setsum__eq__Suc0__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3398), _u3399)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3398, tc_Nat_Onat), _u3400), _u3399) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u3400, skolem58(_u3400, _u3399, _u3398)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.49/19.68 cnf(fact_setsum__eq__Suc0__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3398), _u3399)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3398, tc_Nat_Onat), _u3400), _u3399) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u3398), _u3394), _u3399)) | ( skolem58(_u3400, _u3399, _u3398) = _u3394) | ( hAPP(_u3400, _u3394) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68 cnf(fact_setsum__eq__Suc0__iff-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3398), _u3399)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3398, tc_Nat_Onat), _u3400), _u3399) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u3398), _u3397), _u3399)) | ( hAPP(_u3400, _u3397) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u3398), skolem59(_u3400, _u3399, _u3398, _u3397)), _u3399)) )).
% 19.49/19.68 cnf(fact_setsum__eq__Suc0__iff-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3398), _u3399)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3398, tc_Nat_Onat), _u3400), _u3399) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u3398), _u3397), _u3399)) | ( hAPP(_u3400, _u3397) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3397 != skolem59(_u3400, _u3399, _u3398, _u3397)) )).
% 19.49/19.68 cnf(fact_setsum__eq__Suc0__iff-6, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3398), _u3399)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3398, tc_Nat_Onat), _u3400), _u3399) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u3398), _u3397), _u3399)) | ( hAPP(_u3400, _u3397) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u3400, skolem59(_u3400, _u3399, _u3398, _u3397)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_gr0__conv__Suc ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_gr0__conv__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3404)) | ( _u3404 = hAPP(c_Nat_OSuc, skolem60(_u3404))) )).
% 19.49/19.68 cnf(fact_gr0__conv__Suc-2, axiom, ( ( _u3405 != hAPP(c_Nat_OSuc, _u3402)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3405)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_less__Suc0 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_less__Suc0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3407), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u3407 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68 cnf(fact_less__Suc0-2, axiom, ( ( _u3408 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3408), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_less__Suc__eq__0__disj ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_less__Suc__eq__0__disj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3413), hAPP(c_Nat_OSuc, _u3415))) | ( _u3413 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3413 = hAPP(c_Nat_OSuc, skolem61(_u3415, _u3413))) )).
% 19.49/19.68 cnf(fact_less__Suc__eq__0__disj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3413), hAPP(c_Nat_OSuc, _u3415))) | ( _u3413 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem61(_u3415, _u3413)), _u3415)) )).
% 19.49/19.68 cnf(fact_less__Suc__eq__0__disj-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3414), hAPP(c_Nat_OSuc, _u3416))) | ( _u3414 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68 cnf(fact_less__Suc__eq__0__disj-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3414), hAPP(c_Nat_OSuc, _u3416))) | ( _u3414 != hAPP(c_Nat_OSuc, _u3410)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3410), _u3416)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__is__1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__is__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3419), _u3421) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3419 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3419 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68 cnf(fact_add__is__1-2, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3419), _u3421) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3419 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3421 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.49/19.68 cnf(fact_add__is__1-3, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3419), _u3421) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3421 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3419 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68 cnf(fact_add__is__1-4, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3419), _u3421) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3421 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3421 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.49/19.68 cnf(fact_add__is__1-5, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3420), _u3422) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3420 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3422 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68 cnf(fact_add__is__1-6, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3420), _u3422) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3420 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3422 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_one__is__add ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_one__is__add-1, axiom, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3425), _u3427)) | ( _u3425 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3425 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68 cnf(fact_one__is__add-2, axiom, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3425), _u3427)) | ( _u3425 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3427 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.49/19.68 cnf(fact_one__is__add-3, axiom, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3425), _u3427)) | ( _u3427 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3425 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68 cnf(fact_one__is__add-4, axiom, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3425), _u3427)) | ( _u3427 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3427 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.49/19.68 cnf(fact_one__is__add-5, axiom, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3426), _u3428)) | ( _u3426 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3428 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68 cnf(fact_one__is__add-6, axiom, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3426), _u3428)) | ( _u3426 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3428 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__gr__0 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__gr__0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3431)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3433)) )).
% 19.49/19.68 cnf(fact_add__gr__0-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3432), _u3434))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3432)) )).
% 19.49/19.68 cnf(fact_add__gr__0-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3432), _u3434))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3434)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_card_Oempty ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_card_Oempty-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u3435), c_Orderings_Obot__class_Obot(tc_fun(_u3435, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_card__infinite ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_card__infinite-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u3436), _u3437)) | ( hAPP(c_Finite__Set_Ocard(_u3436), _u3437) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__eq__1__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3440), _u3442) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3440 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.49/19.68 cnf(fact_mult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3440), _u3442) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3442 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.49/19.68 cnf(fact_mult__eq__1__iff-3, axiom, ( ( _u3441 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3443 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3441), _u3443) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__less ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3444)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3445)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3445), _u3444)), _u3445)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_zero__less__diff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_zero__less__diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3448), _u3450))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3450), _u3448)) )).
% 19.49/19.68 cnf(fact_zero__less__diff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3451), _u3449)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3449), _u3451))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nat__mult__less__cancel1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nat__mult__less__cancel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3452)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3452), _u3453)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3452), _u3454))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3453), _u3454)) )).
% 19.49/19.68 cnf(fact_nat__mult__less__cancel1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3452)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3453), _u3454)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3452), _u3453)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3452), _u3454))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nat__mult__eq__cancel1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nat__mult__eq__cancel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3455)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3455), _u3456) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3455), _u3457)) | ( _u3456 = _u3457) )).
% 19.49/19.68 cnf(fact_nat__mult__eq__cancel1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3455)) | ( _u3456 != _u3457) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3455), _u3456) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3455), _u3457)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__less__mono2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__less__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3458), _u3459)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3460)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3460), _u3458)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3460), _u3459))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__less__mono1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__less__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3461), _u3462)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3463)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3461), _u3463)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3462), _u3463))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__less__cancel2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__less__cancel2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3467), _u3469)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3471), _u3469))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3469)) )).
% 19.49/19.68 cnf(fact_mult__less__cancel2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3467), _u3469)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3471), _u3469))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3467), _u3471)) )).
% 19.49/19.68 cnf(fact_mult__less__cancel2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3470)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3468), _u3472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3468), _u3470)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3472), _u3470))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__less__cancel1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__less__cancel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3476), _u3478)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3476), _u3480))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3476)) )).
% 19.49/19.68 cnf(fact_mult__less__cancel1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3476), _u3478)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3476), _u3480))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3478), _u3480)) )).
% 19.49/19.68 cnf(fact_mult__less__cancel1-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3477)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3479), _u3481)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3477), _u3479)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3477), _u3481))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nat__0__less__mult__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nat__0__less__mult__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3484), _u3486))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3484)) )).
% 19.49/19.68 cnf(fact_nat__0__less__mult__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3484), _u3486))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3486)) )).
% 19.49/19.68 cnf(fact_nat__0__less__mult__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3485)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3487)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3485), _u3487))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__add__0 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__add__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3488), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3488), _u3489)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__is__0__eq_H ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__is__0__eq_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3490), _u3491)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3490), _u3491) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__is__0__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__is__0__eq-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3494), _u3496) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3494), _u3496)) )).
% 19.49/19.68 cnf(fact_diff__is__0__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3495), _u3497)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3495), _u3497) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setsum__eq__1__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setsum__eq__1__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3502), _u3503)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3502, tc_Nat_Onat), _u3504), _u3503) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u3502), skolem62(_u3504, _u3503, _u3502)), _u3503)) )).
% 19.49/19.68 cnf(fact_setsum__eq__1__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3502), _u3503)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3502, tc_Nat_Onat), _u3504), _u3503) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u3504, skolem62(_u3504, _u3503, _u3502)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 19.49/19.68 cnf(fact_setsum__eq__1__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3502), _u3503)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3502, tc_Nat_Onat), _u3504), _u3503) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u3502), _u3498), _u3503)) | ( skolem62(_u3504, _u3503, _u3502) = _u3498) | ( hAPP(_u3504, _u3498) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68 cnf(fact_setsum__eq__1__iff-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3502), _u3503)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3502, tc_Nat_Onat), _u3504), _u3503) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u3502), _u3501), _u3503)) | ( hAPP(_u3504, _u3501) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u3502), skolem63(_u3504, _u3503, _u3502, _u3501)), _u3503)) )).
% 19.49/19.68 cnf(fact_setsum__eq__1__iff-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3502), _u3503)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3502, tc_Nat_Onat), _u3504), _u3503) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u3502), _u3501), _u3503)) | ( hAPP(_u3504, _u3501) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u3501 != skolem63(_u3504, _u3503, _u3502, _u3501)) )).
% 19.49/19.68 cnf(fact_setsum__eq__1__iff-6, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3502), _u3503)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3502, tc_Nat_Onat), _u3504), _u3503) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u3502), _u3501), _u3503)) | ( hAPP(_u3504, _u3501) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u3504, skolem63(_u3504, _u3503, _u3502, _u3501)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_One__nat__def ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_One__nat__def-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__eq__self__implies__10 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__eq__self__implies__10-1, axiom, ( ( _u3505 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3505), _u3506)) | ( _u3506 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u3505 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__nonpos__neg ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__nonpos__neg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3507) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3507), _u3508), c_Groups_Ozero__class_Ozero(_u3507))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3507), _u3509), c_Groups_Ozero__class_Ozero(_u3507))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3507), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3507), _u3508), _u3509)), c_Groups_Ozero__class_Ozero(_u3507))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__neg__nonpos ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__neg__nonpos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3510) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3510), _u3511), c_Groups_Ozero__class_Ozero(_u3510))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3510), _u3512), c_Groups_Ozero__class_Ozero(_u3510))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3510), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3510), _u3511), _u3512)), c_Groups_Ozero__class_Ozero(_u3510))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__strict__increasing2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__strict__increasing2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3513) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3513), c_Groups_Ozero__class_Ozero(_u3513)), _u3514)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3513), _u3515), _u3516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3513), _u3515), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3513), _u3514), _u3516))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__strict__increasing ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__strict__increasing-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3517) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3517), c_Groups_Ozero__class_Ozero(_u3517)), _u3518)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3517), _u3519), _u3520)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3517), _u3519), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3517), _u3518), _u3520))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__nonneg__pos ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__nonneg__pos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3521) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3521), c_Groups_Ozero__class_Ozero(_u3521)), _u3522)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3521), c_Groups_Ozero__class_Ozero(_u3521)), _u3523)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3521), c_Groups_Ozero__class_Ozero(_u3521)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3521), _u3522), _u3523))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__pos__nonneg ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__pos__nonneg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3524) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3524), c_Groups_Ozero__class_Ozero(_u3524)), _u3525)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3524), c_Groups_Ozero__class_Ozero(_u3524)), _u3526)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3524), c_Groups_Ozero__class_Ozero(_u3524)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3524), _u3525), _u3526))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__left__le__imp__le ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__left__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u3527) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3527), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3527), _u3528), _u3529)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3527), _u3528), _u3530))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3527), c_Groups_Ozero__class_Ozero(_u3527)), _u3528)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3527), _u3529), _u3530)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__right__le__imp__le ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__right__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u3531) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3531), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3531), _u3532), _u3533)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3531), _u3534), _u3533))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3531), c_Groups_Ozero__class_Ozero(_u3531)), _u3533)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3531), _u3532), _u3534)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__less__imp__less__left ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__less__imp__less__left-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u3535) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3535), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3535), _u3536), _u3537)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3535), _u3536), _u3538))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3535), c_Groups_Ozero__class_Ozero(_u3535)), _u3536)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3535), _u3537), _u3538)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__left__less__imp__less ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__left__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring(_u3539) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3539), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3539), _u3540), _u3541)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3539), _u3540), _u3542))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3539), c_Groups_Ozero__class_Ozero(_u3539)), _u3540)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3539), _u3541), _u3542)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__less__imp__less__right ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__less__imp__less__right-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u3543) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3543), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3543), _u3544), _u3545)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3543), _u3546), _u3545))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3543), c_Groups_Ozero__class_Ozero(_u3543)), _u3545)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3543), _u3544), _u3546)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__right__less__imp__less ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__right__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring(_u3547) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3547), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3547), _u3548), _u3549)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3547), _u3550), _u3549))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3547), c_Groups_Ozero__class_Ozero(_u3547)), _u3549)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3547), _u3548), _u3550)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__le__less__imp__less ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__le__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u3551) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3551), _u3552), _u3553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3551), _u3554), _u3555)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3551), c_Groups_Ozero__class_Ozero(_u3551)), _u3552)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3551), c_Groups_Ozero__class_Ozero(_u3551)), _u3554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3551), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3551), _u3552), _u3554)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3551), _u3553), _u3555))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__less__le__imp__less ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__less__le__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u3556) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3556), _u3557), _u3558)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3556), _u3559), _u3560)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3556), c_Groups_Ozero__class_Ozero(_u3556)), _u3557)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3556), c_Groups_Ozero__class_Ozero(_u3556)), _u3559)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3556), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3556), _u3557), _u3559)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3556), _u3558), _u3560))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__strict__mono_H ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__strict__mono_H-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u3561) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3561), _u3562), _u3563)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3561), _u3564), _u3565)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3561), c_Groups_Ozero__class_Ozero(_u3561)), _u3562)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3561), c_Groups_Ozero__class_Ozero(_u3561)), _u3564)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3561), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3561), _u3562), _u3564)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3561), _u3563), _u3565))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__strict__mono ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__strict__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u3566) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3566), _u3567), _u3568)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3566), _u3569), _u3570)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3566), c_Groups_Ozero__class_Ozero(_u3566)), _u3568)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3566), c_Groups_Ozero__class_Ozero(_u3566)), _u3569)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3566), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3566), _u3567), _u3569)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3566), _u3568), _u3570))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__le__cancel__left__neg ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__le__cancel__left__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3571) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3571), _u3572), c_Groups_Ozero__class_Ozero(_u3571))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3571), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3571), _u3572), _u3573)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3571), _u3572), _u3574))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3571), _u3574), _u3573)) )).
% 19.49/19.68 cnf(fact_mult__le__cancel__left__neg-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3571) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3571), _u3572), c_Groups_Ozero__class_Ozero(_u3571))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3571), _u3574), _u3573)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3571), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3571), _u3572), _u3573)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3571), _u3572), _u3574))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__le__cancel__left__pos ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__le__cancel__left__pos-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3575) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3575), c_Groups_Ozero__class_Ozero(_u3575)), _u3576)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3575), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3575), _u3576), _u3577)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3575), _u3576), _u3578))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3575), _u3577), _u3578)) )).
% 19.49/19.68 cnf(fact_mult__le__cancel__left__pos-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3575) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3575), c_Groups_Ozero__class_Ozero(_u3575)), _u3576)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3575), _u3577), _u3578)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3575), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3575), _u3576), _u3577)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3575), _u3576), _u3578))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_sum__squares__le__zero__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_sum__squares__le__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3579) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3579), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3579), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3579), _u3580), _u3580)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3579), _u3581), _u3581))), c_Groups_Ozero__class_Ozero(_u3579))) | ( _u3580 = c_Groups_Ozero__class_Ozero(_u3579)) )).
% 19.49/19.68 cnf(fact_sum__squares__le__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3579) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3579), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3579), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3579), _u3580), _u3580)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3579), _u3581), _u3581))), c_Groups_Ozero__class_Ozero(_u3579))) | ( _u3581 = c_Groups_Ozero__class_Ozero(_u3579)) )).
% 19.49/19.68 cnf(fact_sum__squares__le__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3579) | ( _u3580 != c_Groups_Ozero__class_Ozero(_u3579)) | ( _u3581 != c_Groups_Ozero__class_Ozero(_u3579)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3579), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3579), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3579), _u3580), _u3580)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3579), _u3581), _u3581))), c_Groups_Ozero__class_Ozero(_u3579))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_sum__squares__ge__zero ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_sum__squares__ge__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u3582) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3582), c_Groups_Ozero__class_Ozero(_u3582)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3582), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3582), _u3583), _u3583)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3582), _u3584), _u3584)))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_not__sum__squares__lt__zero ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_not__sum__squares__lt__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u3585) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3585), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3585), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3585), _u3586), _u3586)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3585), _u3587), _u3587))), c_Groups_Ozero__class_Ozero(_u3585))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_sum__squares__gt__zero__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_sum__squares__gt__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3588) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3588), c_Groups_Ozero__class_Ozero(_u3588)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3588), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3588), _u3589), _u3589)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3588), _u3590), _u3590)))) | ( _u3589 != c_Groups_Ozero__class_Ozero(_u3588)) | ( _u3590 != c_Groups_Ozero__class_Ozero(_u3588)) )).
% 19.49/19.68 cnf(fact_sum__squares__gt__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3588) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3588), c_Groups_Ozero__class_Ozero(_u3588)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3588), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3588), _u3589), _u3589)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3588), _u3590), _u3590)))) | ( _u3589 = c_Groups_Ozero__class_Ozero(_u3588)) )).
% 19.49/19.68 cnf(fact_sum__squares__gt__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u3588) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3588), c_Groups_Ozero__class_Ozero(_u3588)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3588), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3588), _u3589), _u3589)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3588), _u3590), _u3590)))) | ( _u3590 = c_Groups_Ozero__class_Ozero(_u3588)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__left__le__one__le ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__left__le__one__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u3591) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3591), c_Groups_Ozero__class_Ozero(_u3591)), _u3592)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3591), c_Groups_Ozero__class_Ozero(_u3591)), _u3593)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3591), _u3593), c_Groups_Oone__class_Oone(_u3591))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3591), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3591), _u3593), _u3592)), _u3592)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__right__le__one__le ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__right__le__one__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u3594) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3594), c_Groups_Ozero__class_Ozero(_u3594)), _u3595)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3594), c_Groups_Ozero__class_Ozero(_u3594)), _u3596)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3594), _u3596), c_Groups_Oone__class_Oone(_u3594))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3594), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3594), _u3595), _u3596)), _u3595)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_zero__less__two ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_zero__less__two-1, axiom, ( ~class_Rings_Olinordered__semidom(_u3597) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3597), c_Groups_Ozero__class_Ozero(_u3597)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3597), c_Groups_Oone__class_Oone(_u3597)), c_Groups_Oone__class_Oone(_u3597)))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_card__eq__0__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_card__eq__0__iff-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u3600), _u3602) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3602 = c_Orderings_Obot__class_Obot(tc_fun(_u3600, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3600), _u3602)) )).
% 19.49/19.68 cnf(fact_card__eq__0__iff-2, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u3601), _u3603) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3603 != c_Orderings_Obot__class_Obot(tc_fun(_u3601, tc_HOL_Obool))) )).
% 19.49/19.68 cnf(fact_card__eq__0__iff-3, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u3601), _u3603) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3601), _u3603)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_card__ge__0__finite ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_card__ge__0__finite-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u3604), _u3605))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3604), _u3605)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Suc__pred ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Suc__pred-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3606)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3606), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = _u3606) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__Suc__less ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__Suc__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3607)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3607), hAPP(c_Nat_OSuc, _u3608))), _u3607)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_n__less__m__mult__n ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_n__less__m__mult__n-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u3609)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u3610)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3609), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3610), _u3609))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_n__less__n__mult__m ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_n__less__n__mult__m-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u3611)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u3612)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3611), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3611), _u3612))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_one__less__mult ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_one__less__mult-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u3613)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u3614)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3614), _u3613))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nat__diff__split__asm ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nat__diff__split__asm-1, axiom, ( ~hBOOL(hAPP(_u3620, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3622), _u3624))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3622), _u3624)) | hBOOL(hAPP(_u3620, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.49/19.68 cnf(fact_nat__diff__split__asm-2, axiom, ( ~hBOOL(hAPP(_u3620, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3622), _u3624))) | ( _u3622 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3624), _u3615)) | hBOOL(hAPP(_u3620, _u3615)) )).
% 19.49/19.68 cnf(fact_nat__diff__split__asm-3, axiom, ( hBOOL(hAPP(_u3621, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3623), _u3625))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3623), _u3625)) | ( _u3623 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3625), skolem64(_u3625, _u3623, _u3621))) )).
% 19.49/19.68 cnf(fact_nat__diff__split__asm-4, axiom, ( hBOOL(hAPP(_u3621, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3623), _u3625))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3623), _u3625)) | ~hBOOL(hAPP(_u3621, skolem64(_u3625, _u3623, _u3621))) )).
% 19.49/19.68 cnf(fact_nat__diff__split__asm-5, axiom, ( hBOOL(hAPP(_u3621, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3623), _u3625))) | ~hBOOL(hAPP(_u3621, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3623 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3625), skolem64(_u3625, _u3623, _u3621))) )).
% 19.49/19.68 cnf(fact_nat__diff__split__asm-6, axiom, ( hBOOL(hAPP(_u3621, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3623), _u3625))) | ~hBOOL(hAPP(_u3621, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3621, skolem64(_u3625, _u3623, _u3621))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nat__diff__split ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nat__diff__split-1, axiom, ( ~hBOOL(hAPP(_u3631, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3633), _u3635))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3633), _u3635)) | hBOOL(hAPP(_u3631, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.49/19.68 cnf(fact_nat__diff__split-2, axiom, ( ~hBOOL(hAPP(_u3631, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3633), _u3635))) | ( _u3633 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3635), _u3626)) | hBOOL(hAPP(_u3631, _u3626)) )).
% 19.49/19.68 cnf(fact_nat__diff__split-3, axiom, ( hBOOL(hAPP(_u3632, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3634), _u3636))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3634), _u3636)) | ( _u3634 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3636), skolem65(_u3636, _u3634, _u3632))) )).
% 19.49/19.68 cnf(fact_nat__diff__split-4, axiom, ( hBOOL(hAPP(_u3632, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3634), _u3636))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3634), _u3636)) | ~hBOOL(hAPP(_u3632, skolem65(_u3636, _u3634, _u3632))) )).
% 19.49/19.68 cnf(fact_nat__diff__split-5, axiom, ( hBOOL(hAPP(_u3632, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3634), _u3636))) | ~hBOOL(hAPP(_u3632, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3634 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3636), skolem65(_u3636, _u3634, _u3632))) )).
% 19.49/19.68 cnf(fact_nat__diff__split-6, axiom, ( hBOOL(hAPP(_u3632, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3634), _u3636))) | ~hBOOL(hAPP(_u3632, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3632, skolem65(_u3636, _u3634, _u3632))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_one__le__mult__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_one__le__mult__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3639), _u3641))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u3639)) )).
% 19.49/19.68 cnf(fact_one__le__mult__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3639), _u3641))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u3641)) )).
% 19.49/19.68 cnf(fact_one__le__mult__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u3640)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u3642)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3640), _u3642))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nat__mult__le__cancel1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nat__mult__le__cancel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3643)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3643), _u3644)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3643), _u3645))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3644), _u3645)) )).
% 19.49/19.68 cnf(fact_nat__mult__le__cancel1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3643)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3644), _u3645)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3643), _u3644)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3643), _u3645))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__le__cancel2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__le__cancel2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3649), _u3651)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3653), _u3651))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3651)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3649), _u3653)) )).
% 19.49/19.68 cnf(fact_mult__le__cancel2-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3650), _u3652)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3654), _u3652))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3652)) )).
% 19.49/19.68 cnf(fact_mult__le__cancel2-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3650), _u3652)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3654), _u3652))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3650), _u3654)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__le__cancel1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__le__cancel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3658), _u3660)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3658), _u3662))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3658)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3660), _u3662)) )).
% 19.49/19.68 cnf(fact_mult__le__cancel1-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3659), _u3661)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3659), _u3663))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3659)) )).
% 19.49/19.68 cnf(fact_mult__le__cancel1-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3659), _u3661)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3659), _u3663))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3661), _u3663)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setprod_Oinsert ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setprod_Oinsert-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3664) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3665), _u3666)) | hBOOL(hAPP(hAPP(c_member(_u3665), _u3667), _u3666)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3665, _u3664), _u3668), hAPP(hAPP(c_Set_Oinsert(_u3665), _u3667), _u3666)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3664), hAPP(_u3668, _u3667)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3665, _u3664), _u3668), _u3666))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setprod__insert ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setprod__insert-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3669) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3670), _u3671)) | hBOOL(hAPP(hAPP(c_member(_u3670), _u3672), _u3671)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3670, _u3669), _u3673), hAPP(hAPP(c_Set_Oinsert(_u3670), _u3672), _u3671)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3669), hAPP(_u3673, _u3672)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3670, _u3669), _u3673), _u3671))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setprod__Un__Int ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setprod__Un__Int-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3674) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3675), _u3676)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3675), _u3677)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3674), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3675, _u3674), _u3678), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3675, tc_HOL_Obool)), _u3676), _u3677))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3675, _u3674), _u3678), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3675, tc_HOL_Obool)), _u3676), _u3677))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3674), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3675, _u3674), _u3678), _u3676)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3675, _u3674), _u3678), _u3677))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setprod_Ounion__inter ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setprod_Ounion__inter-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3679) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3680), _u3681)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3680), _u3682)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3679), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3680, _u3679), _u3683), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3680, tc_HOL_Obool)), _u3681), _u3682))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3680, _u3679), _u3683), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3680, tc_HOL_Obool)), _u3681), _u3682))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3679), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3680, _u3679), _u3683), _u3681)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3680, _u3679), _u3683), _u3682))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setprod_Oeq__fold ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setprod_Oeq__fold-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3684) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3685), _u3686)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3685, _u3684), _u3687), _u3686) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3684, _u3685, c_Groups_Otimes__class_Otimes(_u3684)), _u3687), c_Groups_Oone__class_Oone(_u3684)), _u3686)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setprod_OF__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setprod_OF__eq-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3688) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3689), _u3690)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3689, _u3688), _u3691), _u3690) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3688, _u3689, c_Groups_Otimes__class_Otimes(_u3688)), _u3691), c_Groups_Oone__class_Oone(_u3688)), _u3690)) )).
% 19.49/19.68 cnf(fact_setprod_OF__eq-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3688) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3689), _u3690)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3689, _u3688), _u3691), _u3690) = c_Groups_Oone__class_Oone(_u3688)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_convex__bound__le ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_convex__bound__le-1, axiom, ( ~class_Rings_Olinordered__semiring__1(_u3692) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3692), _u3693), _u3694)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3692), _u3695), _u3694)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3692), c_Groups_Ozero__class_Ozero(_u3692)), _u3696)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3692), c_Groups_Ozero__class_Ozero(_u3692)), _u3697)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3692), _u3696), _u3697) != c_Groups_Oone__class_Oone(_u3692)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3692), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3692), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3692), _u3696), _u3693)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3692), _u3697), _u3695))), _u3694)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setprod_Oinsert__remove ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setprod_Oinsert__remove-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3698) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3699), _u3700)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3699, _u3698), _u3701), hAPP(hAPP(c_Set_Oinsert(_u3699), _u3702), _u3700)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3698), hAPP(_u3701, _u3702)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3699, _u3698), _u3701), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3699, tc_HOL_Obool)), _u3700), hAPP(hAPP(c_Set_Oinsert(_u3699), _u3702), c_Orderings_Obot__class_Obot(tc_fun(_u3699, tc_HOL_Obool))))))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setprod__Un__disjoint ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setprod__Un__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3703) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3704), _u3705)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3704), _u3706)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3704, tc_HOL_Obool)), _u3705), _u3706) != c_Orderings_Obot__class_Obot(tc_fun(_u3704, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3704, _u3703), _u3707), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3704, tc_HOL_Obool)), _u3705), _u3706)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3703), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3704, _u3703), _u3707), _u3705)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3704, _u3703), _u3707), _u3706))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setprod_Ounion__disjoint ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setprod_Ounion__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3708) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3709), _u3710)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3709), _u3711)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3709, tc_HOL_Obool)), _u3710), _u3711) != c_Orderings_Obot__class_Obot(tc_fun(_u3709, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3709, _u3708), _u3712), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3709, tc_HOL_Obool)), _u3710), _u3711)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3708), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3709, _u3708), _u3712), _u3710)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3709, _u3708), _u3712), _u3711))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_card__gt__0__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_card__gt__0__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u3715), _u3717))) | ( _u3717 != c_Orderings_Obot__class_Obot(tc_fun(_u3715, tc_HOL_Obool))) )).
% 19.49/19.68 cnf(fact_card__gt__0__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u3715), _u3717))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3715), _u3717)) )).
% 19.49/19.68 cnf(fact_card__gt__0__iff-3, axiom, ( ( _u3718 = c_Orderings_Obot__class_Obot(tc_fun(_u3716, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3716), _u3718)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u3716), _u3718))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setsum_Oeq__fold ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setsum_Oeq__fold-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3719) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3720), _u3721)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3720, _u3719), _u3722), _u3721) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3719, _u3720, c_Groups_Oplus__class_Oplus(_u3719)), _u3722), c_Groups_Ozero__class_Ozero(_u3719)), _u3721)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setsum_OF__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setsum_OF__eq-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3723) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3724), _u3725)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3724, _u3723), _u3726), _u3725) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3723, _u3724, c_Groups_Oplus__class_Oplus(_u3723)), _u3726), c_Groups_Ozero__class_Ozero(_u3723)), _u3725)) )).
% 19.49/19.68 cnf(fact_setsum_OF__eq-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3723) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3724), _u3725)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3724, _u3723), _u3726), _u3725) = c_Groups_Ozero__class_Ozero(_u3723)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Suc__pred_H ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Suc__pred_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3727)) | ( _u3727 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3727), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Suc__diff__1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Suc__diff__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3728)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3728), c_Groups_Oone__class_Oone(tc_Nat_Onat))) = _u3728) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__eq__if ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__eq__if-1, axiom, ( ( _u3731 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3731), _u3733) = _u3733) )).
% 19.49/19.68 cnf(fact_add__eq__if-2, axiom, ( ( _u3732 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3732), _u3734) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3732), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u3734))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__eq__if ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__eq__if-1, axiom, ( ( _u3737 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3737), _u3739) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68 cnf(fact_mult__eq__if-2, axiom, ( ( _u3738 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3738), _u3740) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3740), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3738), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u3740))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_even__less__0__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_even__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u3741) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3741), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3741), _u3742), _u3742)), c_Groups_Ozero__class_Ozero(_u3741))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3741), _u3742), c_Groups_Ozero__class_Ozero(_u3741))) )).
% 19.49/19.68 cnf(fact_even__less__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u3741) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3741), _u3742), c_Groups_Ozero__class_Ozero(_u3741))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3741), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3741), _u3742), _u3742)), c_Groups_Ozero__class_Ozero(_u3741))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setsum__mono2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setsum__mono2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3744) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3745), _u3746)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3745, tc_HOL_Obool)), _u3747), _u3746)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3744), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3745, _u3744), _u3748), _u3747)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3745, _u3744), _u3748), _u3746))) | hBOOL(hAPP(hAPP(c_member(_u3745), skolem66(_u3748, _u3747, _u3746, _u3745, _u3744)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3745, tc_HOL_Obool)), _u3746), _u3747))) )).
% 19.49/19.68 cnf(fact_setsum__mono2-2, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3744) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3745), _u3746)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3745, tc_HOL_Obool)), _u3747), _u3746)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3744), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3745, _u3744), _u3748), _u3747)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3745, _u3744), _u3748), _u3746))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3744), c_Groups_Ozero__class_Ozero(_u3744)), hAPP(_u3748, skolem66(_u3748, _u3747, _u3746, _u3745, _u3744)))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Plus__eq__empty__conv ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Plus__eq__empty__conv-1, axiom, ( ( c_Sum__Type_OPlus(_u3753, _u3755, _u3757, _u3759) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u3753, _u3755), tc_HOL_Obool))) | ( _u3757 = c_Orderings_Obot__class_Obot(tc_fun(_u3753, tc_HOL_Obool))) )).
% 19.49/19.68 cnf(fact_Plus__eq__empty__conv-2, axiom, ( ( c_Sum__Type_OPlus(_u3753, _u3755, _u3757, _u3759) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u3753, _u3755), tc_HOL_Obool))) | ( _u3759 = c_Orderings_Obot__class_Obot(tc_fun(_u3755, tc_HOL_Obool))) )).
% 19.49/19.68 cnf(fact_Plus__eq__empty__conv-3, axiom, ( ( _u3758 != c_Orderings_Obot__class_Obot(tc_fun(_u3754, tc_HOL_Obool))) | ( _u3760 != c_Orderings_Obot__class_Obot(tc_fun(_u3756, tc_HOL_Obool))) | ( c_Sum__Type_OPlus(_u3754, _u3756, _u3758, _u3760) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u3754, _u3756), tc_HOL_Obool))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_card_Ounion__inter__neutral ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_card_Ounion__inter__neutral-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3762), _u3763)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3762), _u3764)) | ( hAPP(c_Finite__Set_Ocard(_u3762), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3762, tc_HOL_Obool)), _u3763), _u3764)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3762), _u3763)), hAPP(c_Finite__Set_Ocard(_u3762), _u3764))) | hBOOL(hAPP(hAPP(c_member(_u3762), skolem67(_u3764, _u3763, _u3762)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3762, tc_HOL_Obool)), _u3763), _u3764))) )).
% 19.49/19.68 cnf(fact_card_Ounion__inter__neutral-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3762), _u3763)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3762), _u3764)) | ( hAPP(c_Finite__Set_Ocard(_u3762), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3762, tc_HOL_Obool)), _u3763), _u3764)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3762), _u3763)), hAPP(c_Finite__Set_Ocard(_u3762), _u3764))) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setprod_Ounion__inter__neutral ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setprod_Ounion__inter__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3766) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3767), _u3768)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3767), _u3769)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3767, _u3766), _u3770), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3767, tc_HOL_Obool)), _u3768), _u3769)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3766), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3767, _u3766), _u3770), _u3768)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3767, _u3766), _u3770), _u3769))) | hBOOL(hAPP(hAPP(c_member(_u3767), skolem68(_u3770, _u3769, _u3768, _u3767, _u3766)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3767, tc_HOL_Obool)), _u3768), _u3769))) )).
% 19.49/19.68 cnf(fact_setprod_Ounion__inter__neutral-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3766) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3767), _u3768)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3767), _u3769)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3767, _u3766), _u3770), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3767, tc_HOL_Obool)), _u3768), _u3769)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3766), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3767, _u3766), _u3770), _u3768)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3767, _u3766), _u3770), _u3769))) | ( hAPP(_u3770, skolem68(_u3770, _u3769, _u3768, _u3767, _u3766)) != c_Groups_Oone__class_Oone(_u3766)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setprod__Un__one ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setprod__Un__one-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3772) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3773), _u3774)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3773), _u3775)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3773, _u3772), _u3776), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3773, tc_HOL_Obool)), _u3774), _u3775)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3772), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3773, _u3772), _u3776), _u3774)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3773, _u3772), _u3776), _u3775))) | hBOOL(hAPP(hAPP(c_member(_u3773), skolem69(_u3776, _u3775, _u3774, _u3773, _u3772)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3773, tc_HOL_Obool)), _u3774), _u3775))) )).
% 19.49/19.68 cnf(fact_setprod__Un__one-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3772) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3773), _u3774)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3773), _u3775)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3773, _u3772), _u3776), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3773, tc_HOL_Obool)), _u3774), _u3775)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3772), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3773, _u3772), _u3776), _u3774)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3773, _u3772), _u3776), _u3775))) | ( hAPP(_u3776, skolem69(_u3776, _u3775, _u3774, _u3773, _u3772)) != c_Groups_Oone__class_Oone(_u3772)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setsum_Ounion__inter__neutral ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setsum_Ounion__inter__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3778) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3779), _u3780)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3779), _u3781)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3779, _u3778), _u3782), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3779, tc_HOL_Obool)), _u3780), _u3781)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3778), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3779, _u3778), _u3782), _u3780)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3779, _u3778), _u3782), _u3781))) | hBOOL(hAPP(hAPP(c_member(_u3779), skolem70(_u3782, _u3781, _u3780, _u3779, _u3778)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3779, tc_HOL_Obool)), _u3780), _u3781))) )).
% 19.49/19.68 cnf(fact_setsum_Ounion__inter__neutral-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3778) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3779), _u3780)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3779), _u3781)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3779, _u3778), _u3782), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3779, tc_HOL_Obool)), _u3780), _u3781)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3778), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3779, _u3778), _u3782), _u3780)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3779, _u3778), _u3782), _u3781))) | ( hAPP(_u3782, skolem70(_u3782, _u3781, _u3780, _u3779, _u3778)) != c_Groups_Ozero__class_Ozero(_u3778)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setsum__Un__zero ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setsum__Un__zero-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3784) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3785), _u3786)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3785), _u3787)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3785, _u3784), _u3788), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3785, tc_HOL_Obool)), _u3786), _u3787)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3784), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3785, _u3784), _u3788), _u3786)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3785, _u3784), _u3788), _u3787))) | hBOOL(hAPP(hAPP(c_member(_u3785), skolem71(_u3788, _u3787, _u3786, _u3785, _u3784)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3785, tc_HOL_Obool)), _u3786), _u3787))) )).
% 19.49/19.68 cnf(fact_setsum__Un__zero-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3784) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3785), _u3786)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3785), _u3787)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3785, _u3784), _u3788), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3785, tc_HOL_Obool)), _u3786), _u3787)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3784), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3785, _u3784), _u3788), _u3786)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3785, _u3784), _u3788), _u3787))) | ( hAPP(_u3788, skolem71(_u3788, _u3787, _u3786, _u3785, _u3784)) != c_Groups_Ozero__class_Ozero(_u3784)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_bot__nat__def ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_bot__nat__def-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_double__eq__0__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_double__eq__0__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u3789) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3789), _u3790), _u3790) != c_Groups_Ozero__class_Ozero(_u3789)) | ( _u3790 = c_Groups_Ozero__class_Ozero(_u3789)) )).
% 19.49/19.68 cnf(fact_double__eq__0__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u3789) | ( _u3790 != c_Groups_Ozero__class_Ozero(_u3789)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3789), _u3790), _u3790) = c_Groups_Ozero__class_Ozero(_u3789)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_card__Suc__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_card__Suc__eq-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u3798), _u3800) != hAPP(c_Nat_OSuc, _u3802)) | ( _u3800 = hAPP(hAPP(c_Set_Oinsert(_u3798), skolem72(_u3802, _u3800, _u3798)), skolem73(_u3802, _u3800, _u3798))) )).
% 19.49/19.68 cnf(fact_card__Suc__eq-2, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u3798), _u3800) != hAPP(c_Nat_OSuc, _u3802)) | ~hBOOL(hAPP(hAPP(c_member(_u3798), skolem72(_u3802, _u3800, _u3798)), skolem73(_u3802, _u3800, _u3798))) )).
% 19.49/19.68 cnf(fact_card__Suc__eq-3, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u3798), _u3800) != hAPP(c_Nat_OSuc, _u3802)) | ( hAPP(c_Finite__Set_Ocard(_u3798), skolem73(_u3802, _u3800, _u3798)) = _u3802) )).
% 19.49/19.68 cnf(fact_card__Suc__eq-4, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u3798), _u3800) != hAPP(c_Nat_OSuc, _u3802)) | ( _u3802 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem73(_u3802, _u3800, _u3798) = c_Orderings_Obot__class_Obot(tc_fun(_u3798, tc_HOL_Obool))) )).
% 19.49/19.68 cnf(fact_card__Suc__eq-5, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u3799), _u3801) = hAPP(c_Nat_OSuc, _u3803)) | ( _u3801 != hAPP(hAPP(c_Set_Oinsert(_u3799), _u3794), _u3793)) | hBOOL(hAPP(hAPP(c_member(_u3799), _u3794), _u3793)) | ( hAPP(c_Finite__Set_Ocard(_u3799), _u3793) != _u3803) | ( _u3803 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68 cnf(fact_card__Suc__eq-6, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u3799), _u3801) = hAPP(c_Nat_OSuc, _u3803)) | ( _u3801 != hAPP(hAPP(c_Set_Oinsert(_u3799), _u3794), _u3793)) | hBOOL(hAPP(hAPP(c_member(_u3799), _u3794), _u3793)) | ( hAPP(c_Finite__Set_Ocard(_u3799), _u3793) != _u3803) | ( _u3793 != c_Orderings_Obot__class_Obot(tc_fun(_u3799, tc_HOL_Obool))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setsum__mono3 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setsum__mono3-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3805) | ~class_Groups_Oordered__ab__semigroup__add(_u3805) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3806), _u3807)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3806, tc_HOL_Obool)), _u3808), _u3807)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3805), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3806, _u3805), _u3809), _u3808)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3806, _u3805), _u3809), _u3807))) | hBOOL(hAPP(hAPP(c_member(_u3806), skolem74(_u3809, _u3808, _u3807, _u3806, _u3805)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3806, tc_HOL_Obool)), _u3807), _u3808))) )).
% 19.49/19.68 cnf(fact_setsum__mono3-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3805) | ~class_Groups_Oordered__ab__semigroup__add(_u3805) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3806), _u3807)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3806, tc_HOL_Obool)), _u3808), _u3807)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3805), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3806, _u3805), _u3809), _u3808)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3806, _u3805), _u3809), _u3807))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3805), c_Groups_Ozero__class_Ozero(_u3805)), hAPP(_u3809, skolem74(_u3809, _u3808, _u3807, _u3806, _u3805)))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Ints__odd__less__0 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Ints__odd__less__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u3810) | ~hBOOL(hAPP(hAPP(c_member(_u3810), _u3811), c_Int_Oring__1__class_OInts(_u3810))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3810), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3810), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3810), c_Groups_Oone__class_Oone(_u3810)), _u3811)), _u3811)), c_Groups_Ozero__class_Ozero(_u3810))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3810), _u3811), c_Groups_Ozero__class_Ozero(_u3810))) )).
% 19.49/19.68 cnf(fact_Ints__odd__less__0-2, axiom, ( ~class_Rings_Olinordered__idom(_u3810) | ~hBOOL(hAPP(hAPP(c_member(_u3810), _u3811), c_Int_Oring__1__class_OInts(_u3810))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3810), _u3811), c_Groups_Ozero__class_Ozero(_u3810))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3810), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3810), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3810), c_Groups_Oone__class_Oone(_u3810)), _u3811)), _u3811)), c_Groups_Ozero__class_Ozero(_u3810))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setprod__diff1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setprod__diff1-1, axiom, ( ~class_Fields_Ofield(_u3812) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3813), _u3814)) | ( hAPP(_u3815, _u3816) = c_Groups_Ozero__class_Ozero(_u3812)) | ~hBOOL(hAPP(hAPP(c_member(_u3813), _u3816), _u3814)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3813, _u3812), _u3815), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3813, tc_HOL_Obool)), _u3814), hAPP(hAPP(c_Set_Oinsert(_u3813), _u3816), c_Orderings_Obot__class_Obot(tc_fun(_u3813, tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3812), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3813, _u3812), _u3815), _u3814)), hAPP(_u3815, _u3816))) )).
% 19.49/19.68 cnf(fact_setprod__diff1-2, axiom, ( ~class_Fields_Ofield(_u3812) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3813), _u3814)) | ( hAPP(_u3815, _u3816) = c_Groups_Ozero__class_Ozero(_u3812)) | hBOOL(hAPP(hAPP(c_member(_u3813), _u3816), _u3814)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3813, _u3812), _u3815), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3813, tc_HOL_Obool)), _u3814), hAPP(hAPP(c_Set_Oinsert(_u3813), _u3816), c_Orderings_Obot__class_Obot(tc_fun(_u3813, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3813, _u3812), _u3815), _u3814)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_ex__least__nat__less ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_ex__least__nat__less-1, axiom, ( hBOOL(hAPP(_u3819, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3819, _u3820)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem75(_u3820, _u3819)), _u3820)) )).
% 19.49/19.68 cnf(fact_ex__least__nat__less-2, axiom, ( hBOOL(hAPP(_u3819, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3819, _u3820)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3817), skolem75(_u3820, _u3819))) | ~hBOOL(hAPP(_u3819, _u3817)) )).
% 19.49/19.68 cnf(fact_ex__least__nat__less-3, axiom, ( hBOOL(hAPP(_u3819, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3819, _u3820)) | hBOOL(hAPP(_u3819, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem75(_u3820, _u3819)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setprod__mono__one__left ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setprod__mono__one__left-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3822) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3823), _u3824)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3823, tc_HOL_Obool)), _u3825), _u3824)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3823, _u3822), _u3826), _u3825) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3823, _u3822), _u3826), _u3824)) | hBOOL(hAPP(hAPP(c_member(_u3823), skolem76(_u3826, _u3825, _u3824, _u3823, _u3822)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3823, tc_HOL_Obool)), _u3824), _u3825))) )).
% 19.49/19.68 cnf(fact_setprod__mono__one__left-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3822) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3823), _u3824)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3823, tc_HOL_Obool)), _u3825), _u3824)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3823, _u3822), _u3826), _u3825) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3823, _u3822), _u3826), _u3824)) | ( hAPP(_u3826, skolem76(_u3826, _u3825, _u3824, _u3823, _u3822)) != c_Groups_Oone__class_Oone(_u3822)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setprod__mono__one__right ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setprod__mono__one__right-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3828) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3829), _u3830)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3829, tc_HOL_Obool)), _u3831), _u3830)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3829, _u3828), _u3832), _u3830) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3829, _u3828), _u3832), _u3831)) | hBOOL(hAPP(hAPP(c_member(_u3829), skolem77(_u3832, _u3831, _u3830, _u3829, _u3828)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3829, tc_HOL_Obool)), _u3830), _u3831))) )).
% 19.49/19.68 cnf(fact_setprod__mono__one__right-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u3828) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3829), _u3830)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3829, tc_HOL_Obool)), _u3831), _u3830)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3829, _u3828), _u3832), _u3830) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3829, _u3828), _u3832), _u3831)) | ( hAPP(_u3832, skolem77(_u3832, _u3831, _u3830, _u3829, _u3828)) != c_Groups_Oone__class_Oone(_u3828)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setsum__mono__zero__left ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setsum__mono__zero__left-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3834) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3835), _u3836)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3835, tc_HOL_Obool)), _u3837), _u3836)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3835, _u3834), _u3838), _u3837) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3835, _u3834), _u3838), _u3836)) | hBOOL(hAPP(hAPP(c_member(_u3835), skolem78(_u3838, _u3837, _u3836, _u3835, _u3834)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3835, tc_HOL_Obool)), _u3836), _u3837))) )).
% 19.49/19.68 cnf(fact_setsum__mono__zero__left-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3834) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3835), _u3836)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3835, tc_HOL_Obool)), _u3837), _u3836)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3835, _u3834), _u3838), _u3837) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3835, _u3834), _u3838), _u3836)) | ( hAPP(_u3838, skolem78(_u3838, _u3837, _u3836, _u3835, _u3834)) != c_Groups_Ozero__class_Ozero(_u3834)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_divide__zero__left ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_divide__zero__left-1, axiom, ( ~class_Rings_Odivision__ring(_u3839) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3839), c_Groups_Ozero__class_Ozero(_u3839)), _u3840) = c_Groups_Ozero__class_Ozero(_u3839)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_divide__zero ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_divide__zero-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u3841) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3841), _u3842), c_Groups_Ozero__class_Ozero(_u3841)) = c_Groups_Ozero__class_Ozero(_u3841)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__divide__distrib ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__divide__distrib-1, axiom, ( ~class_Rings_Odivision__ring(_u3843) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3843), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3843), _u3844), _u3845)), _u3846) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3843), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3843), _u3844), _u3846)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3843), _u3845), _u3846))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_times__divide__eq__right ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_times__divide__eq__right-1, axiom, ( ~class_Rings_Odivision__ring(_u3847) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3847), _u3848), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3847), _u3849), _u3850)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3847), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3847), _u3848), _u3849)), _u3850)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__divide__distrib ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__divide__distrib-1, axiom, ( ~class_Rings_Odivision__ring(_u3851) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3851), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3851), _u3852), _u3853)), _u3854) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3851), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3851), _u3852), _u3854)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3851), _u3853), _u3854))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_divide__1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_divide__1-1, axiom, ( ~class_Rings_Odivision__ring(_u3855) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3855), _u3856), c_Groups_Oone__class_Oone(_u3855)) = _u3856) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_eq__divide__imp ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_eq__divide__imp-1, axiom, ( ~class_Rings_Odivision__ring(_u3857) | ( _u3858 = c_Groups_Ozero__class_Ozero(_u3857)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3857), _u3859), _u3858) != _u3860) | ( _u3859 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3857), _u3860), _u3858)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_divide__eq__imp ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_divide__eq__imp-1, axiom, ( ~class_Rings_Odivision__ring(_u3861) | ( _u3862 = c_Groups_Ozero__class_Ozero(_u3861)) | ( _u3863 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3861), _u3864), _u3862)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3861), _u3863), _u3862) = _u3864) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nonzero__divide__eq__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nonzero__divide__eq__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u3865) | ( _u3866 = c_Groups_Ozero__class_Ozero(_u3865)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3865), _u3867), _u3866) != _u3868) | ( _u3867 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3865), _u3868), _u3866)) )).
% 19.49/19.68 cnf(fact_nonzero__divide__eq__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u3865) | ( _u3866 = c_Groups_Ozero__class_Ozero(_u3865)) | ( _u3867 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3865), _u3868), _u3866)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3865), _u3867), _u3866) = _u3868) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_nonzero__eq__divide__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_nonzero__eq__divide__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u3869) | ( _u3870 = c_Groups_Ozero__class_Ozero(_u3869)) | ( _u3871 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3869), _u3872), _u3870)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3869), _u3871), _u3870) = _u3872) )).
% 19.49/19.68 cnf(fact_nonzero__eq__divide__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u3869) | ( _u3870 = c_Groups_Ozero__class_Ozero(_u3869)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3869), _u3871), _u3870) != _u3872) | ( _u3871 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3869), _u3872), _u3870)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_divide__self__if ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_divide__self__if-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u3873) | ( _u3874 != c_Groups_Ozero__class_Ozero(_u3873)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3873), _u3874), _u3874) = c_Groups_Ozero__class_Ozero(_u3873)) )).
% 19.49/19.68 cnf(fact_divide__self__if-2, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u3873) | ( _u3874 = c_Groups_Ozero__class_Ozero(_u3873)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3873), _u3874), _u3874) = c_Groups_Oone__class_Oone(_u3873)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_divide__self ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_divide__self-1, axiom, ( ~class_Rings_Odivision__ring(_u3875) | ( _u3876 = c_Groups_Ozero__class_Ozero(_u3875)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3875), _u3876), _u3876) = c_Groups_Oone__class_Oone(_u3875)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_right__inverse__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_right__inverse__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u3877) | ( _u3878 = c_Groups_Ozero__class_Ozero(_u3877)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3877), _u3879), _u3878) != c_Groups_Oone__class_Oone(_u3877)) | ( _u3879 = _u3878) )).
% 19.49/19.68 cnf(fact_right__inverse__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u3877) | ( _u3878 = c_Groups_Ozero__class_Ozero(_u3877)) | ( _u3879 != _u3878) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3877), _u3879), _u3878) = c_Groups_Oone__class_Oone(_u3877)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Ints__0 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Ints__0-1, axiom, ( ~class_Rings_Oring__1(_u3880) | hBOOL(hAPP(hAPP(c_member(_u3880), c_Groups_Ozero__class_Ozero(_u3880)), c_Int_Oring__1__class_OInts(_u3880))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Ints__add ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Ints__add-1, axiom, ( ~class_Rings_Oring__1(_u3881) | ~hBOOL(hAPP(hAPP(c_member(_u3881), _u3882), c_Int_Oring__1__class_OInts(_u3881))) | ~hBOOL(hAPP(hAPP(c_member(_u3881), _u3883), c_Int_Oring__1__class_OInts(_u3881))) | hBOOL(hAPP(hAPP(c_member(_u3881), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3881), _u3882), _u3883)), c_Int_Oring__1__class_OInts(_u3881))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Ints__mult ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Ints__mult-1, axiom, ( ~class_Rings_Oring__1(_u3884) | ~hBOOL(hAPP(hAPP(c_member(_u3884), _u3885), c_Int_Oring__1__class_OInts(_u3884))) | ~hBOOL(hAPP(hAPP(c_member(_u3884), _u3886), c_Int_Oring__1__class_OInts(_u3884))) | hBOOL(hAPP(hAPP(c_member(_u3884), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3884), _u3885), _u3886)), c_Int_Oring__1__class_OInts(_u3884))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Ints__diff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Ints__diff-1, axiom, ( ~class_Rings_Oring__1(_u3887) | ~hBOOL(hAPP(hAPP(c_member(_u3887), _u3888), c_Int_Oring__1__class_OInts(_u3887))) | ~hBOOL(hAPP(hAPP(c_member(_u3887), _u3889), c_Int_Oring__1__class_OInts(_u3887))) | hBOOL(hAPP(hAPP(c_member(_u3887), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3887), _u3888), _u3889)), c_Int_Oring__1__class_OInts(_u3887))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Ints__1 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Ints__1-1, axiom, ( ~class_Rings_Oring__1(_u3890) | hBOOL(hAPP(hAPP(c_member(_u3890), c_Groups_Oone__class_Oone(_u3890)), c_Int_Oring__1__class_OInts(_u3890))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Ints__double__eq__0__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Ints__double__eq__0__iff-1, axiom, ( ~class_Int_Oring__char__0(_u3891) | ~hBOOL(hAPP(hAPP(c_member(_u3891), _u3892), c_Int_Oring__1__class_OInts(_u3891))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3891), _u3892), _u3892) != c_Groups_Ozero__class_Ozero(_u3891)) | ( _u3892 = c_Groups_Ozero__class_Ozero(_u3891)) )).
% 19.49/19.68 cnf(fact_Ints__double__eq__0__iff-2, axiom, ( ~class_Int_Oring__char__0(_u3891) | ~hBOOL(hAPP(hAPP(c_member(_u3891), _u3892), c_Int_Oring__1__class_OInts(_u3891))) | ( _u3892 != c_Groups_Ozero__class_Ozero(_u3891)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3891), _u3892), _u3892) = c_Groups_Ozero__class_Ozero(_u3891)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_Ints__odd__nonzero ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_Ints__odd__nonzero-1, axiom, ( ~class_Int_Oring__char__0(_u3893) | ~hBOOL(hAPP(hAPP(c_member(_u3893), _u3894), c_Int_Oring__1__class_OInts(_u3893))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3893), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3893), c_Groups_Oone__class_Oone(_u3893)), _u3894)), _u3894) != c_Groups_Ozero__class_Ozero(_u3893)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_le__divide__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3895) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3896), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3895), _u3897), _u3898))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3895), c_Groups_Ozero__class_Ozero(_u3895)), _u3898)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3895), _u3896), _u3898)), _u3897)) )).
% 19.49/19.68 cnf(fact_le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3895) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3896), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3895), _u3897), _u3898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3895), c_Groups_Ozero__class_Ozero(_u3895)), _u3898)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3895), _u3898), c_Groups_Ozero__class_Ozero(_u3895))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3897), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3895), _u3896), _u3898))) )).
% 19.49/19.68 cnf(fact_le__divide__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3895) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3896), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3895), _u3897), _u3898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3895), c_Groups_Ozero__class_Ozero(_u3895)), _u3898)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3895), _u3898), c_Groups_Ozero__class_Ozero(_u3895))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3896), c_Groups_Ozero__class_Ozero(_u3895))) )).
% 19.49/19.68 cnf(fact_le__divide__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3895) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3896), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3895), _u3897), _u3898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3895), c_Groups_Ozero__class_Ozero(_u3895)), _u3898)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3895), _u3898), c_Groups_Ozero__class_Ozero(_u3895))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3896), c_Groups_Ozero__class_Ozero(_u3895))) )).
% 19.49/19.68 cnf(fact_le__divide__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3895) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3896), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3895), _u3897), _u3898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3895), c_Groups_Ozero__class_Ozero(_u3895)), _u3898)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3897), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3895), _u3896), _u3898))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3895), _u3898), c_Groups_Ozero__class_Ozero(_u3895))) )).
% 19.49/19.68 cnf(fact_le__divide__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3895) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3896), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3895), _u3897), _u3898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3895), c_Groups_Ozero__class_Ozero(_u3895)), _u3898)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3897), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3895), _u3896), _u3898))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3896), c_Groups_Ozero__class_Ozero(_u3895))) )).
% 19.49/19.68 cnf(fact_le__divide__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3895) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3896), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3895), _u3897), _u3898))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3895), _u3896), _u3898)), _u3897)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3895), c_Groups_Ozero__class_Ozero(_u3895)), _u3898)) )).
% 19.49/19.68 cnf(fact_le__divide__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3895) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3896), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3895), _u3897), _u3898))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3895), _u3896), _u3898)), _u3897)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3895), _u3898), c_Groups_Ozero__class_Ozero(_u3895))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3896), c_Groups_Ozero__class_Ozero(_u3895))) )).
% 19.49/19.68 cnf(fact_le__divide__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3895) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3896), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3895), _u3897), _u3898))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3895), _u3896), _u3898)), _u3897)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3897), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3895), _u3896), _u3898))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3895), _u3898), c_Groups_Ozero__class_Ozero(_u3895))) )).
% 19.49/19.68 cnf(fact_le__divide__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3895) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3896), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3895), _u3897), _u3898))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3895), _u3896), _u3898)), _u3897)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3897), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3895), _u3896), _u3898))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3896), c_Groups_Ozero__class_Ozero(_u3895))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_divide__le__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3899) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3899), _u3900), _u3901)), _u3902)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3899), c_Groups_Ozero__class_Ozero(_u3899)), _u3901)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), _u3900), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3899), _u3902), _u3901))) )).
% 19.49/19.68 cnf(fact_divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3899) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3899), _u3900), _u3901)), _u3902)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3899), c_Groups_Ozero__class_Ozero(_u3899)), _u3901)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3899), _u3901), c_Groups_Ozero__class_Ozero(_u3899))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3899), _u3902), _u3901)), _u3900)) )).
% 19.49/19.68 cnf(fact_divide__le__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3899) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3899), _u3900), _u3901)), _u3902)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3899), c_Groups_Ozero__class_Ozero(_u3899)), _u3901)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3899), _u3901), c_Groups_Ozero__class_Ozero(_u3899))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), c_Groups_Ozero__class_Ozero(_u3899)), _u3902)) )).
% 19.49/19.68 cnf(fact_divide__le__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3899) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3899), _u3900), _u3901)), _u3902)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3899), c_Groups_Ozero__class_Ozero(_u3899)), _u3901)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3899), _u3901), c_Groups_Ozero__class_Ozero(_u3899))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), c_Groups_Ozero__class_Ozero(_u3899)), _u3902)) )).
% 19.49/19.68 cnf(fact_divide__le__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3899) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3899), _u3900), _u3901)), _u3902)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3899), c_Groups_Ozero__class_Ozero(_u3899)), _u3901)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3899), _u3902), _u3901)), _u3900)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3899), _u3901), c_Groups_Ozero__class_Ozero(_u3899))) )).
% 19.49/19.68 cnf(fact_divide__le__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3899) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3899), _u3900), _u3901)), _u3902)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3899), c_Groups_Ozero__class_Ozero(_u3899)), _u3901)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3899), _u3902), _u3901)), _u3900)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), c_Groups_Ozero__class_Ozero(_u3899)), _u3902)) )).
% 19.49/19.68 cnf(fact_divide__le__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3899) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3899), _u3900), _u3901)), _u3902)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), _u3900), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3899), _u3902), _u3901))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3899), c_Groups_Ozero__class_Ozero(_u3899)), _u3901)) )).
% 19.49/19.68 cnf(fact_divide__le__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3899) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3899), _u3900), _u3901)), _u3902)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), _u3900), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3899), _u3902), _u3901))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3899), _u3901), c_Groups_Ozero__class_Ozero(_u3899))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), c_Groups_Ozero__class_Ozero(_u3899)), _u3902)) )).
% 19.49/19.68 cnf(fact_divide__le__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3899) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3899), _u3900), _u3901)), _u3902)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), _u3900), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3899), _u3902), _u3901))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3899), _u3902), _u3901)), _u3900)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3899), _u3901), c_Groups_Ozero__class_Ozero(_u3899))) )).
% 19.49/19.68 cnf(fact_divide__le__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3899) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3899), _u3900), _u3901)), _u3902)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), _u3900), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3899), _u3902), _u3901))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3899), _u3902), _u3901)), _u3900)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), c_Groups_Ozero__class_Ozero(_u3899)), _u3902)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_pos__le__divide__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_pos__le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u3903) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3903), c_Groups_Ozero__class_Ozero(_u3903)), _u3904)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3903), _u3905), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3903), _u3906), _u3904))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3903), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3903), _u3905), _u3904)), _u3906)) )).
% 19.49/19.68 cnf(fact_pos__le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u3903) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3903), c_Groups_Ozero__class_Ozero(_u3903)), _u3904)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3903), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3903), _u3905), _u3904)), _u3906)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3903), _u3905), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3903), _u3906), _u3904))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_pos__divide__le__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_pos__divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u3907) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3907), c_Groups_Ozero__class_Ozero(_u3907)), _u3908)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3907), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3907), _u3909), _u3908)), _u3910)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3907), _u3909), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3907), _u3910), _u3908))) )).
% 19.49/19.68 cnf(fact_pos__divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u3907) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3907), c_Groups_Ozero__class_Ozero(_u3907)), _u3908)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3907), _u3909), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3907), _u3910), _u3908))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3907), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3907), _u3909), _u3908)), _u3910)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__imp__div__pos__le ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__imp__div__pos__le-1, axiom, ( ~class_Fields_Olinordered__field(_u3911) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3911), c_Groups_Ozero__class_Ozero(_u3911)), _u3912)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3911), _u3913), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3911), _u3914), _u3912))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3911), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3911), _u3913), _u3912)), _u3914)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__imp__le__div__pos ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__imp__le__div__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u3915) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3915), c_Groups_Ozero__class_Ozero(_u3915)), _u3916)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3915), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3915), _u3917), _u3916)), _u3918)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3915), _u3917), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3915), _u3918), _u3916))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_neg__le__divide__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_neg__le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u3919) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3919), _u3920), c_Groups_Ozero__class_Ozero(_u3919))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3919), _u3921), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3919), _u3922), _u3920))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3919), _u3922), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3919), _u3921), _u3920))) )).
% 19.49/19.68 cnf(fact_neg__le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u3919) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3919), _u3920), c_Groups_Ozero__class_Ozero(_u3919))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3919), _u3922), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3919), _u3921), _u3920))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3919), _u3921), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3919), _u3922), _u3920))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_neg__divide__le__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_neg__divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u3923) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3923), _u3924), c_Groups_Ozero__class_Ozero(_u3923))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3923), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3923), _u3925), _u3924)), _u3926)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3923), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3923), _u3926), _u3924)), _u3925)) )).
% 19.49/19.68 cnf(fact_neg__divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u3923) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3923), _u3924), c_Groups_Ozero__class_Ozero(_u3923))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3923), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3923), _u3926), _u3924)), _u3925)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3923), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3923), _u3925), _u3924)), _u3926)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_times__divide__times__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_times__divide__times__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u3927) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3927), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3927), _u3928), _u3929)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3927), _u3930), _u3931)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3927), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3927), _u3928), _u3930)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3927), _u3929), _u3931))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_zero__le__divide__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_zero__le__divide__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3932) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3932), c_Groups_Ozero__class_Ozero(_u3932)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3932), _u3933), _u3934))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3932), c_Groups_Ozero__class_Ozero(_u3932)), _u3933)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3932), _u3933), c_Groups_Ozero__class_Ozero(_u3932))) )).
% 19.49/19.68 cnf(fact_zero__le__divide__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3932) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3932), c_Groups_Ozero__class_Ozero(_u3932)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3932), _u3933), _u3934))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3932), c_Groups_Ozero__class_Ozero(_u3932)), _u3933)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3932), _u3934), c_Groups_Ozero__class_Ozero(_u3932))) )).
% 19.49/19.68 cnf(fact_zero__le__divide__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3932) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3932), c_Groups_Ozero__class_Ozero(_u3932)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3932), _u3933), _u3934))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3932), c_Groups_Ozero__class_Ozero(_u3932)), _u3934)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3932), _u3933), c_Groups_Ozero__class_Ozero(_u3932))) )).
% 19.49/19.68 cnf(fact_zero__le__divide__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3932) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3932), c_Groups_Ozero__class_Ozero(_u3932)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3932), _u3933), _u3934))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3932), c_Groups_Ozero__class_Ozero(_u3932)), _u3934)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3932), _u3934), c_Groups_Ozero__class_Ozero(_u3932))) )).
% 19.49/19.68 cnf(fact_zero__le__divide__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3932) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3932), c_Groups_Ozero__class_Ozero(_u3932)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3932), _u3933), _u3934))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3932), c_Groups_Ozero__class_Ozero(_u3932)), _u3933)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3932), c_Groups_Ozero__class_Ozero(_u3932)), _u3934)) )).
% 19.49/19.68 cnf(fact_zero__le__divide__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3932) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3932), c_Groups_Ozero__class_Ozero(_u3932)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3932), _u3933), _u3934))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3932), _u3933), c_Groups_Ozero__class_Ozero(_u3932))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3932), _u3934), c_Groups_Ozero__class_Ozero(_u3932))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_divide__le__0__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_divide__le__0__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3935) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3935), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3935), _u3936), _u3937)), c_Groups_Ozero__class_Ozero(_u3935))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3935), c_Groups_Ozero__class_Ozero(_u3935)), _u3936)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3935), _u3936), c_Groups_Ozero__class_Ozero(_u3935))) )).
% 19.49/19.68 cnf(fact_divide__le__0__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3935) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3935), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3935), _u3936), _u3937)), c_Groups_Ozero__class_Ozero(_u3935))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3935), c_Groups_Ozero__class_Ozero(_u3935)), _u3936)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3935), c_Groups_Ozero__class_Ozero(_u3935)), _u3937)) )).
% 19.49/19.68 cnf(fact_divide__le__0__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3935) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3935), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3935), _u3936), _u3937)), c_Groups_Ozero__class_Ozero(_u3935))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3935), _u3937), c_Groups_Ozero__class_Ozero(_u3935))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3935), _u3936), c_Groups_Ozero__class_Ozero(_u3935))) )).
% 19.49/19.68 cnf(fact_divide__le__0__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3935) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3935), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3935), _u3936), _u3937)), c_Groups_Ozero__class_Ozero(_u3935))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3935), _u3937), c_Groups_Ozero__class_Ozero(_u3935))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3935), c_Groups_Ozero__class_Ozero(_u3935)), _u3937)) )).
% 19.49/19.68 cnf(fact_divide__le__0__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3935) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3935), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3935), _u3936), _u3937)), c_Groups_Ozero__class_Ozero(_u3935))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3935), c_Groups_Ozero__class_Ozero(_u3935)), _u3936)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3935), _u3937), c_Groups_Ozero__class_Ozero(_u3935))) )).
% 19.49/19.68 cnf(fact_divide__le__0__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3935) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3935), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3935), _u3936), _u3937)), c_Groups_Ozero__class_Ozero(_u3935))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3935), _u3936), c_Groups_Ozero__class_Ozero(_u3935))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3935), c_Groups_Ozero__class_Ozero(_u3935)), _u3937)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_divide__right__mono ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_divide__right__mono-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3938) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3938), _u3939), _u3940)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3938), c_Groups_Ozero__class_Ozero(_u3938)), _u3941)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3938), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3938), _u3939), _u3941)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3938), _u3940), _u3941))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_divide__right__mono__neg ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_divide__right__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3942) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3942), _u3943), _u3944)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3942), _u3945), c_Groups_Ozero__class_Ozero(_u3942))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3942), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3942), _u3944), _u3945)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3942), _u3943), _u3945))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_divide__strict__right__mono__neg ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_divide__strict__right__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u3946) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3946), _u3947), _u3948)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3946), _u3949), c_Groups_Ozero__class_Ozero(_u3946))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3946), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3946), _u3948), _u3949)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3946), _u3947), _u3949))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_divide__strict__right__mono ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_divide__strict__right__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u3950) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3950), _u3951), _u3952)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3950), c_Groups_Ozero__class_Ozero(_u3950)), _u3953)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3950), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3950), _u3951), _u3953)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3950), _u3952), _u3953))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_divide__neg__neg ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_divide__neg__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u3954) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3954), _u3955), c_Groups_Ozero__class_Ozero(_u3954))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3954), _u3956), c_Groups_Ozero__class_Ozero(_u3954))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3954), c_Groups_Ozero__class_Ozero(_u3954)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3954), _u3955), _u3956))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_divide__neg__pos ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_divide__neg__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u3957) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3957), _u3958), c_Groups_Ozero__class_Ozero(_u3957))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3957), c_Groups_Ozero__class_Ozero(_u3957)), _u3959)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3957), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3957), _u3958), _u3959)), c_Groups_Ozero__class_Ozero(_u3957))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_divide__pos__neg ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_divide__pos__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u3960) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3960), c_Groups_Ozero__class_Ozero(_u3960)), _u3961)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3960), _u3962), c_Groups_Ozero__class_Ozero(_u3960))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3960), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3960), _u3961), _u3962)), c_Groups_Ozero__class_Ozero(_u3960))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_divide__pos__pos ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_divide__pos__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u3963) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3963), c_Groups_Ozero__class_Ozero(_u3963)), _u3964)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3963), c_Groups_Ozero__class_Ozero(_u3963)), _u3965)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3963), c_Groups_Ozero__class_Ozero(_u3963)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3963), _u3964), _u3965))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_divide__less__0__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_divide__less__0__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3966) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3966), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3966), _u3967), _u3968)), c_Groups_Ozero__class_Ozero(_u3966))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3966), c_Groups_Ozero__class_Ozero(_u3966)), _u3967)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3966), _u3967), c_Groups_Ozero__class_Ozero(_u3966))) )).
% 19.49/19.68 cnf(fact_divide__less__0__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3966) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3966), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3966), _u3967), _u3968)), c_Groups_Ozero__class_Ozero(_u3966))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3966), c_Groups_Ozero__class_Ozero(_u3966)), _u3967)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3966), c_Groups_Ozero__class_Ozero(_u3966)), _u3968)) )).
% 19.49/19.68 cnf(fact_divide__less__0__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3966) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3966), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3966), _u3967), _u3968)), c_Groups_Ozero__class_Ozero(_u3966))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3966), _u3968), c_Groups_Ozero__class_Ozero(_u3966))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3966), _u3967), c_Groups_Ozero__class_Ozero(_u3966))) )).
% 19.49/19.68 cnf(fact_divide__less__0__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3966) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3966), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3966), _u3967), _u3968)), c_Groups_Ozero__class_Ozero(_u3966))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3966), _u3968), c_Groups_Ozero__class_Ozero(_u3966))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3966), c_Groups_Ozero__class_Ozero(_u3966)), _u3968)) )).
% 19.49/19.68 cnf(fact_divide__less__0__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3966) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3966), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3966), _u3967), _u3968)), c_Groups_Ozero__class_Ozero(_u3966))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3966), c_Groups_Ozero__class_Ozero(_u3966)), _u3967)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3966), _u3968), c_Groups_Ozero__class_Ozero(_u3966))) )).
% 19.49/19.68 cnf(fact_divide__less__0__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3966) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3966), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3966), _u3967), _u3968)), c_Groups_Ozero__class_Ozero(_u3966))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3966), _u3967), c_Groups_Ozero__class_Ozero(_u3966))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3966), c_Groups_Ozero__class_Ozero(_u3966)), _u3968)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_zero__less__divide__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_zero__less__divide__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3969) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), c_Groups_Ozero__class_Ozero(_u3969)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3969), _u3970), _u3971))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), c_Groups_Ozero__class_Ozero(_u3969)), _u3970)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), _u3970), c_Groups_Ozero__class_Ozero(_u3969))) )).
% 19.49/19.68 cnf(fact_zero__less__divide__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3969) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), c_Groups_Ozero__class_Ozero(_u3969)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3969), _u3970), _u3971))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), c_Groups_Ozero__class_Ozero(_u3969)), _u3970)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), _u3971), c_Groups_Ozero__class_Ozero(_u3969))) )).
% 19.49/19.68 cnf(fact_zero__less__divide__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3969) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), c_Groups_Ozero__class_Ozero(_u3969)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3969), _u3970), _u3971))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), c_Groups_Ozero__class_Ozero(_u3969)), _u3971)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), _u3970), c_Groups_Ozero__class_Ozero(_u3969))) )).
% 19.49/19.68 cnf(fact_zero__less__divide__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3969) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), c_Groups_Ozero__class_Ozero(_u3969)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3969), _u3970), _u3971))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), c_Groups_Ozero__class_Ozero(_u3969)), _u3971)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), _u3971), c_Groups_Ozero__class_Ozero(_u3969))) )).
% 19.49/19.68 cnf(fact_zero__less__divide__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3969) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), c_Groups_Ozero__class_Ozero(_u3969)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3969), _u3970), _u3971))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), c_Groups_Ozero__class_Ozero(_u3969)), _u3970)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), c_Groups_Ozero__class_Ozero(_u3969)), _u3971)) )).
% 19.49/19.68 cnf(fact_zero__less__divide__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u3969) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), c_Groups_Ozero__class_Ozero(_u3969)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3969), _u3970), _u3971))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), _u3970), c_Groups_Ozero__class_Ozero(_u3969))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), _u3971), c_Groups_Ozero__class_Ozero(_u3969))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_eq__divide__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_eq__divide__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u3972) | ( _u3973 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3972), _u3974), _u3975)) | ( _u3975 = c_Groups_Ozero__class_Ozero(_u3972)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3972), _u3973), _u3975) = _u3974) )).
% 19.49/19.68 cnf(fact_eq__divide__eq-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u3972) | ( _u3973 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3972), _u3974), _u3975)) | ( _u3975 != c_Groups_Ozero__class_Ozero(_u3972)) | ( _u3973 = c_Groups_Ozero__class_Ozero(_u3972)) )).
% 19.49/19.68 cnf(fact_eq__divide__eq-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u3972) | ( _u3973 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3972), _u3974), _u3975)) | ( _u3975 != c_Groups_Ozero__class_Ozero(_u3972)) | ( _u3973 != c_Groups_Ozero__class_Ozero(_u3972)) )).
% 19.49/19.68 cnf(fact_eq__divide__eq-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u3972) | ( _u3973 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3972), _u3974), _u3975)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3972), _u3973), _u3975) != _u3974) | ( _u3975 = c_Groups_Ozero__class_Ozero(_u3972)) )).
% 19.49/19.68 cnf(fact_eq__divide__eq-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u3972) | ( _u3973 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3972), _u3974), _u3975)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3972), _u3973), _u3975) != _u3974) | ( _u3973 != c_Groups_Ozero__class_Ozero(_u3972)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_divide__eq__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_divide__eq__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u3976) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3976), _u3977), _u3978) != _u3979) | ( _u3978 = c_Groups_Ozero__class_Ozero(_u3976)) | ( _u3977 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3976), _u3979), _u3978)) )).
% 19.49/19.68 cnf(fact_divide__eq__eq-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u3976) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3976), _u3977), _u3978) != _u3979) | ( _u3978 != c_Groups_Ozero__class_Ozero(_u3976)) | ( _u3979 = c_Groups_Ozero__class_Ozero(_u3976)) )).
% 19.49/19.68 cnf(fact_divide__eq__eq-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u3976) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3976), _u3977), _u3978) = _u3979) | ( _u3978 != c_Groups_Ozero__class_Ozero(_u3976)) | ( _u3979 != c_Groups_Ozero__class_Ozero(_u3976)) )).
% 19.49/19.68 cnf(fact_divide__eq__eq-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u3976) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3976), _u3977), _u3978) = _u3979) | ( _u3977 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3976), _u3979), _u3978)) | ( _u3978 = c_Groups_Ozero__class_Ozero(_u3976)) )).
% 19.49/19.68 cnf(fact_divide__eq__eq-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u3976) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3976), _u3977), _u3978) = _u3979) | ( _u3977 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3976), _u3979), _u3978)) | ( _u3979 != c_Groups_Ozero__class_Ozero(_u3976)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__divide__mult__cancel__right ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__divide__mult__cancel__right-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u3980) | ( _u3981 = c_Groups_Ozero__class_Ozero(_u3980)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3980), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3980), _u3982), _u3981)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3980), _u3983), _u3981)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3980), _u3982), _u3983)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__divide__mult__cancel__left ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__divide__mult__cancel__left-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u3984) | ( _u3985 = c_Groups_Ozero__class_Ozero(_u3984)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3984), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3984), _u3985), _u3986)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3984), _u3985), _u3987)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3984), _u3986), _u3987)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_frac__eq__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_frac__eq__eq-1, axiom, ( ~class_Fields_Ofield(_u3988) | ( _u3989 = c_Groups_Ozero__class_Ozero(_u3988)) | ( _u3990 = c_Groups_Ozero__class_Ozero(_u3988)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3988), _u3991), _u3989) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3988), _u3992), _u3990)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3988), _u3991), _u3990) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3988), _u3992), _u3989)) )).
% 19.49/19.68 cnf(fact_frac__eq__eq-2, axiom, ( ~class_Fields_Ofield(_u3988) | ( _u3989 = c_Groups_Ozero__class_Ozero(_u3988)) | ( _u3990 = c_Groups_Ozero__class_Ozero(_u3988)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3988), _u3991), _u3990) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3988), _u3992), _u3989)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3988), _u3991), _u3989) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3988), _u3992), _u3990)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_divide__nonneg__pos ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_divide__nonneg__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u3993) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3993), c_Groups_Ozero__class_Ozero(_u3993)), _u3994)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3993), c_Groups_Ozero__class_Ozero(_u3993)), _u3995)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3993), c_Groups_Ozero__class_Ozero(_u3993)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3993), _u3994), _u3995))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_divide__nonneg__neg ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_divide__nonneg__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u3996) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3996), c_Groups_Ozero__class_Ozero(_u3996)), _u3997)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3996), _u3998), c_Groups_Ozero__class_Ozero(_u3996))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3996), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3996), _u3997), _u3998)), c_Groups_Ozero__class_Ozero(_u3996))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_frac__less2 ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_frac__less2-1, axiom, ( ~class_Fields_Olinordered__field(_u3999) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3999), c_Groups_Ozero__class_Ozero(_u3999)), _u4000)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3999), _u4000), _u4001)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3999), c_Groups_Ozero__class_Ozero(_u3999)), _u4002)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3999), _u4002), _u4003)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3999), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3999), _u4000), _u4003)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3999), _u4001), _u4002))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_frac__less ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_frac__less-1, axiom, ( ~class_Fields_Olinordered__field(_u4004) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4004), c_Groups_Ozero__class_Ozero(_u4004)), _u4005)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4004), _u4005), _u4006)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4004), c_Groups_Ozero__class_Ozero(_u4004)), _u4007)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4004), _u4007), _u4008)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4004), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4004), _u4005), _u4008)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4004), _u4006), _u4007))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_frac__le ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_frac__le-1, axiom, ( ~class_Fields_Olinordered__field(_u4009) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4009), c_Groups_Ozero__class_Ozero(_u4009)), _u4010)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4009), _u4010), _u4011)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4009), c_Groups_Ozero__class_Ozero(_u4009)), _u4012)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4009), _u4012), _u4013)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4009), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4009), _u4010), _u4013)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4009), _u4011), _u4012))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_divide__nonpos__pos ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_divide__nonpos__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u4014) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4014), _u4015), c_Groups_Ozero__class_Ozero(_u4014))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4014), c_Groups_Ozero__class_Ozero(_u4014)), _u4016)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4014), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4014), _u4015), _u4016)), c_Groups_Ozero__class_Ozero(_u4014))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_divide__nonpos__neg ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_divide__nonpos__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u4017) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4017), _u4018), c_Groups_Ozero__class_Ozero(_u4017))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4017), _u4019), c_Groups_Ozero__class_Ozero(_u4017))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4017), c_Groups_Ozero__class_Ozero(_u4017)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4017), _u4018), _u4019))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_divide__strict__left__mono__neg ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_divide__strict__left__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u4020) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4020), _u4021), _u4022)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4020), _u4023), c_Groups_Ozero__class_Ozero(_u4020))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4020), c_Groups_Ozero__class_Ozero(_u4020)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4020), _u4021), _u4022))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4020), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4020), _u4023), _u4021)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4020), _u4023), _u4022))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_divide__strict__left__mono ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_divide__strict__left__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u4024) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4024), _u4025), _u4026)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4024), c_Groups_Ozero__class_Ozero(_u4024)), _u4027)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4024), c_Groups_Ozero__class_Ozero(_u4024)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4024), _u4026), _u4025))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4024), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4024), _u4027), _u4026)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4024), _u4027), _u4025))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_neg__divide__less__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_neg__divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u4028) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4028), _u4029), c_Groups_Ozero__class_Ozero(_u4028))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4028), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4028), _u4030), _u4029)), _u4031)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4028), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4028), _u4031), _u4029)), _u4030)) )).
% 19.49/19.68 cnf(fact_neg__divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u4028) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4028), _u4029), c_Groups_Ozero__class_Ozero(_u4028))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4028), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4028), _u4031), _u4029)), _u4030)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4028), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4028), _u4030), _u4029)), _u4031)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_neg__less__divide__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_neg__less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u4032) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4032), _u4033), c_Groups_Ozero__class_Ozero(_u4032))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4032), _u4034), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4032), _u4035), _u4033))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4032), _u4035), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4032), _u4034), _u4033))) )).
% 19.49/19.68 cnf(fact_neg__less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u4032) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4032), _u4033), c_Groups_Ozero__class_Ozero(_u4032))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4032), _u4035), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4032), _u4034), _u4033))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4032), _u4034), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4032), _u4035), _u4033))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__imp__less__div__pos ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__imp__less__div__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u4036) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4036), c_Groups_Ozero__class_Ozero(_u4036)), _u4037)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4036), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4036), _u4038), _u4037)), _u4039)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4036), _u4038), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4036), _u4039), _u4037))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_mult__imp__div__pos__less ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_mult__imp__div__pos__less-1, axiom, ( ~class_Fields_Olinordered__field(_u4040) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4040), c_Groups_Ozero__class_Ozero(_u4040)), _u4041)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4040), _u4042), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4040), _u4043), _u4041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4040), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4040), _u4042), _u4041)), _u4043)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_pos__divide__less__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_pos__divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u4044) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4044), c_Groups_Ozero__class_Ozero(_u4044)), _u4045)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4044), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4044), _u4046), _u4045)), _u4047)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4044), _u4046), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4044), _u4047), _u4045))) )).
% 19.49/19.68 cnf(fact_pos__divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u4044) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4044), c_Groups_Ozero__class_Ozero(_u4044)), _u4045)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4044), _u4046), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4044), _u4047), _u4045))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4044), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4044), _u4046), _u4045)), _u4047)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_pos__less__divide__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_pos__less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u4048) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4048), c_Groups_Ozero__class_Ozero(_u4048)), _u4049)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4048), _u4050), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4048), _u4051), _u4049))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4048), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4048), _u4050), _u4049)), _u4051)) )).
% 19.49/19.68 cnf(fact_pos__less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u4048) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4048), c_Groups_Ozero__class_Ozero(_u4048)), _u4049)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4048), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4048), _u4050), _u4049)), _u4051)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4048), _u4050), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4048), _u4051), _u4049))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_divide__less__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4052) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4052), _u4053), _u4054)), _u4055)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), c_Groups_Ozero__class_Ozero(_u4052)), _u4054)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), _u4053), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4052), _u4055), _u4054))) )).
% 19.49/19.68 cnf(fact_divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4052) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4052), _u4053), _u4054)), _u4055)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), c_Groups_Ozero__class_Ozero(_u4052)), _u4054)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), _u4054), c_Groups_Ozero__class_Ozero(_u4052))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4052), _u4055), _u4054)), _u4053)) )).
% 19.49/19.68 cnf(fact_divide__less__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4052) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4052), _u4053), _u4054)), _u4055)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), c_Groups_Ozero__class_Ozero(_u4052)), _u4054)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), _u4054), c_Groups_Ozero__class_Ozero(_u4052))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), c_Groups_Ozero__class_Ozero(_u4052)), _u4055)) )).
% 19.49/19.68 cnf(fact_divide__less__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4052) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4052), _u4053), _u4054)), _u4055)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), c_Groups_Ozero__class_Ozero(_u4052)), _u4054)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), _u4054), c_Groups_Ozero__class_Ozero(_u4052))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), c_Groups_Ozero__class_Ozero(_u4052)), _u4055)) )).
% 19.49/19.68 cnf(fact_divide__less__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4052) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4052), _u4053), _u4054)), _u4055)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), c_Groups_Ozero__class_Ozero(_u4052)), _u4054)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4052), _u4055), _u4054)), _u4053)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), _u4054), c_Groups_Ozero__class_Ozero(_u4052))) )).
% 19.49/19.68 cnf(fact_divide__less__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4052) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4052), _u4053), _u4054)), _u4055)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), c_Groups_Ozero__class_Ozero(_u4052)), _u4054)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4052), _u4055), _u4054)), _u4053)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), c_Groups_Ozero__class_Ozero(_u4052)), _u4055)) )).
% 19.49/19.68 cnf(fact_divide__less__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4052) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4052), _u4053), _u4054)), _u4055)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), _u4053), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4052), _u4055), _u4054))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), c_Groups_Ozero__class_Ozero(_u4052)), _u4054)) )).
% 19.49/19.68 cnf(fact_divide__less__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4052) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4052), _u4053), _u4054)), _u4055)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), _u4053), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4052), _u4055), _u4054))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), _u4054), c_Groups_Ozero__class_Ozero(_u4052))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), c_Groups_Ozero__class_Ozero(_u4052)), _u4055)) )).
% 19.49/19.68 cnf(fact_divide__less__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4052) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4052), _u4053), _u4054)), _u4055)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), _u4053), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4052), _u4055), _u4054))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4052), _u4055), _u4054)), _u4053)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), _u4054), c_Groups_Ozero__class_Ozero(_u4052))) )).
% 19.49/19.68 cnf(fact_divide__less__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4052) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4052), _u4053), _u4054)), _u4055)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), _u4053), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4052), _u4055), _u4054))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4052), _u4055), _u4054)), _u4053)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), c_Groups_Ozero__class_Ozero(_u4052)), _u4055)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_less__divide__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4056) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4057), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4056), _u4058), _u4059))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), c_Groups_Ozero__class_Ozero(_u4056)), _u4059)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4056), _u4057), _u4059)), _u4058)) )).
% 19.49/19.68 cnf(fact_less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4056) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4057), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4056), _u4058), _u4059))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), c_Groups_Ozero__class_Ozero(_u4056)), _u4059)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4059), c_Groups_Ozero__class_Ozero(_u4056))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4058), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4056), _u4057), _u4059))) )).
% 19.49/19.68 cnf(fact_less__divide__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4056) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4057), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4056), _u4058), _u4059))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), c_Groups_Ozero__class_Ozero(_u4056)), _u4059)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4059), c_Groups_Ozero__class_Ozero(_u4056))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4057), c_Groups_Ozero__class_Ozero(_u4056))) )).
% 19.49/19.68 cnf(fact_less__divide__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4056) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4057), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4056), _u4058), _u4059))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), c_Groups_Ozero__class_Ozero(_u4056)), _u4059)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4059), c_Groups_Ozero__class_Ozero(_u4056))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4057), c_Groups_Ozero__class_Ozero(_u4056))) )).
% 19.49/19.68 cnf(fact_less__divide__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4056) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4057), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4056), _u4058), _u4059))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), c_Groups_Ozero__class_Ozero(_u4056)), _u4059)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4058), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4056), _u4057), _u4059))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4059), c_Groups_Ozero__class_Ozero(_u4056))) )).
% 19.49/19.68 cnf(fact_less__divide__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4056) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4057), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4056), _u4058), _u4059))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), c_Groups_Ozero__class_Ozero(_u4056)), _u4059)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4058), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4056), _u4057), _u4059))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4057), c_Groups_Ozero__class_Ozero(_u4056))) )).
% 19.49/19.68 cnf(fact_less__divide__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4056) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4057), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4056), _u4058), _u4059))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4056), _u4057), _u4059)), _u4058)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), c_Groups_Ozero__class_Ozero(_u4056)), _u4059)) )).
% 19.49/19.68 cnf(fact_less__divide__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4056) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4057), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4056), _u4058), _u4059))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4056), _u4057), _u4059)), _u4058)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4059), c_Groups_Ozero__class_Ozero(_u4056))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4057), c_Groups_Ozero__class_Ozero(_u4056))) )).
% 19.49/19.68 cnf(fact_less__divide__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4056) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4057), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4056), _u4058), _u4059))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4056), _u4057), _u4059)), _u4058)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4058), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4056), _u4057), _u4059))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4059), c_Groups_Ozero__class_Ozero(_u4056))) )).
% 19.49/19.68 cnf(fact_less__divide__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4056) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4057), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4056), _u4058), _u4059))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4056), _u4057), _u4059)), _u4058)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4058), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4056), _u4057), _u4059))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4057), c_Groups_Ozero__class_Ozero(_u4056))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__frac__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__frac__eq-1, axiom, ( ~class_Fields_Ofield(_u4060) | ( _u4061 = c_Groups_Ozero__class_Ozero(_u4060)) | ( _u4062 = c_Groups_Ozero__class_Ozero(_u4060)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4060), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4060), _u4063), _u4061)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4060), _u4064), _u4062)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4060), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4060), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4060), _u4063), _u4062)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4060), _u4064), _u4061))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4060), _u4061), _u4062))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_divide__add__eq__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_divide__add__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u4065) | ( _u4066 = c_Groups_Ozero__class_Ozero(_u4065)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4065), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4065), _u4067), _u4066)), _u4068) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4065), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4065), _u4067), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4065), _u4066), _u4068))), _u4066)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__frac__num ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__frac__num-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4069) | ( _u4070 = c_Groups_Ozero__class_Ozero(_u4069)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4069), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4069), _u4071), _u4070)), _u4072) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4069), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4069), _u4071), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4069), _u4072), _u4070))), _u4070)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__divide__eq__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__divide__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u4073) | ( _u4074 = c_Groups_Ozero__class_Ozero(_u4073)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4073), _u4075), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4073), _u4076), _u4074)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4073), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4073), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4073), _u4074), _u4075)), _u4076)), _u4074)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_add__num__frac ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_add__num__frac-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4077) | ( _u4078 = c_Groups_Ozero__class_Ozero(_u4077)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4077), _u4079), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4077), _u4080), _u4078)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4077), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4077), _u4080), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4077), _u4079), _u4078))), _u4078)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__divide__eq__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__divide__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u4081) | ( _u4082 = c_Groups_Ozero__class_Ozero(_u4081)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4081), _u4083), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4081), _u4084), _u4082)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4081), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4081), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4081), _u4082), _u4083)), _u4084)), _u4082)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_divide__diff__eq__iff ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_divide__diff__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u4085) | ( _u4086 = c_Groups_Ozero__class_Ozero(_u4085)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4085), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4085), _u4087), _u4086)), _u4088) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4085), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4085), _u4087), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4085), _u4086), _u4088))), _u4086)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_diff__frac__eq ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_diff__frac__eq-1, axiom, ( ~class_Fields_Ofield(_u4089) | ( _u4090 = c_Groups_Ozero__class_Ozero(_u4089)) | ( _u4091 = c_Groups_Ozero__class_Ozero(_u4089)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4089), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4089), _u4092), _u4090)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4089), _u4093), _u4091)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4089), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4089), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4089), _u4092), _u4091)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4089), _u4093), _u4090))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4089), _u4090), _u4091))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_gt__half__sum ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_gt__half__sum-1, axiom, ( ~class_Fields_Olinordered__field(_u4094) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4094), _u4095), _u4096)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4094), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4094), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4094), _u4095), _u4096)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4094), c_Groups_Oone__class_Oone(_u4094)), c_Groups_Oone__class_Oone(_u4094)))), _u4096)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_less__half__sum ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_less__half__sum-1, axiom, ( ~class_Fields_Olinordered__field(_u4097) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4097), _u4098), _u4099)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4097), _u4098), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4097), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4097), _u4098), _u4099)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4097), c_Groups_Oone__class_Oone(_u4097)), c_Groups_Oone__class_Oone(_u4097))))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_divide__left__mono__neg ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_divide__left__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4100) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4100), _u4101), _u4102)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4100), _u4103), c_Groups_Ozero__class_Ozero(_u4100))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4100), c_Groups_Ozero__class_Ozero(_u4100)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4100), _u4101), _u4102))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4100), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4100), _u4103), _u4101)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4100), _u4103), _u4102))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_divide__left__mono ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_divide__left__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u4104) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4104), _u4105), _u4106)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4104), c_Groups_Ozero__class_Ozero(_u4104)), _u4107)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4104), c_Groups_Ozero__class_Ozero(_u4104)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4104), _u4106), _u4105))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4104), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4104), _u4107), _u4106)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4104), _u4107), _u4105))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setprod__Un ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setprod__Un-1, axiom, ( ~class_Fields_Ofield(_u4109) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4110), _u4111)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4110), _u4112)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4110, _u4109), _u4113), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4110, tc_HOL_Obool)), _u4111), _u4112)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4109), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4109), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4110, _u4109), _u4113), _u4111)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4110, _u4109), _u4113), _u4112))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4110, _u4109), _u4113), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4110, tc_HOL_Obool)), _u4111), _u4112)))) | hBOOL(hAPP(hAPP(c_member(_u4110), skolem79(_u4113, _u4112, _u4111, _u4110, _u4109)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4110, tc_HOL_Obool)), _u4111), _u4112))) )).
% 19.49/19.68 cnf(fact_setprod__Un-2, axiom, ( ~class_Fields_Ofield(_u4109) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4110), _u4111)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4110), _u4112)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4110, _u4109), _u4113), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4110, tc_HOL_Obool)), _u4111), _u4112)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4109), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4109), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4110, _u4109), _u4113), _u4111)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4110, _u4109), _u4113), _u4112))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4110, _u4109), _u4113), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4110, tc_HOL_Obool)), _u4111), _u4112)))) | ( hAPP(_u4113, skolem79(_u4113, _u4112, _u4111, _u4110, _u4109)) = c_Groups_Ozero__class_Ozero(_u4109)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setsum__mono__zero__right ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setsum__mono__zero__right-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4115) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4116), _u4117)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4116, tc_HOL_Obool)), _u4118), _u4117)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4116, _u4115), _u4119), _u4117) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4116, _u4115), _u4119), _u4118)) | hBOOL(hAPP(hAPP(c_member(_u4116), skolem80(_u4119, _u4118, _u4117, _u4116, _u4115)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4116, tc_HOL_Obool)), _u4117), _u4118))) )).
% 19.49/19.68 cnf(fact_setsum__mono__zero__right-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4115) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4116), _u4117)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4116, tc_HOL_Obool)), _u4118), _u4117)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4116, _u4115), _u4119), _u4117) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4116, _u4115), _u4119), _u4118)) | ( hAPP(_u4119, skolem80(_u4119, _u4118, _u4117, _u4116, _u4115)) != c_Groups_Ozero__class_Ozero(_u4115)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_field__le__mult__one__interval ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_field__le__mult__one__interval-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4121) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4121), _u4122), _u4123)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4121), c_Groups_Ozero__class_Ozero(_u4121)), skolem81(_u4123, _u4122, _u4121))) )).
% 19.49/19.68 cnf(fact_field__le__mult__one__interval-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4121) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4121), _u4122), _u4123)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4121), skolem81(_u4123, _u4122, _u4121)), c_Groups_Oone__class_Oone(_u4121))) )).
% 19.49/19.68 cnf(fact_field__le__mult__one__interval-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4121) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4121), _u4122), _u4123)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4121), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4121), skolem81(_u4123, _u4122, _u4121)), _u4122)), _u4123)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setprod__pos__nat ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setprod__pos__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4125), _u4126)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4125, tc_Nat_Onat), _u4127), _u4126))) | hBOOL(hAPP(hAPP(c_member(_u4125), skolem82(_u4127, _u4126, _u4125)), _u4126)) )).
% 19.49/19.68 cnf(fact_setprod__pos__nat-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4125), _u4126)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4125, tc_Nat_Onat), _u4127), _u4126))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u4127, skolem82(_u4127, _u4126, _u4125)))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_setsum__SucD ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_setsum__SucD-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4129, tc_Nat_Onat), _u4130), _u4131) != hAPP(c_Nat_OSuc, _u4132)) | hBOOL(hAPP(hAPP(c_member(_u4129), skolem83(_u4132, _u4131, _u4130, _u4129)), _u4131)) )).
% 19.49/19.68 cnf(fact_setsum__SucD-2, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4129, tc_Nat_Onat), _u4130), _u4131) != hAPP(c_Nat_OSuc, _u4132)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u4130, skolem83(_u4132, _u4131, _u4130, _u4129)))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_card_Oneutral ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_card_Oneutral-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4134), _u4135)) | ( hAPP(c_Finite__Set_Ocard(_u4134), _u4135) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u4134), skolem84(_u4135, _u4134)), _u4135)) )).
% 19.49/19.68 cnf(fact_card_Oneutral-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4134), _u4135)) | ( hAPP(c_Finite__Set_Ocard(_u4134), _u4135) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_inf__le__fold__inf ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_inf__le__fold__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u4137) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4137), _u4138)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4137), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4137), _u4139), _u4140)), hAPP(hAPP(c_Finite__Set_Ofold(_u4137, _u4137, c_Lattices_Osemilattice__inf__class_Oinf(_u4137)), _u4140), _u4138))) | hBOOL(hAPP(hAPP(c_member(_u4137), skolem85(_u4140, _u4139, _u4138, _u4137)), _u4138)) )).
% 19.49/19.68 cnf(fact_inf__le__fold__inf-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u4137) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4137), _u4138)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4137), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4137), _u4139), _u4140)), hAPP(hAPP(c_Finite__Set_Ofold(_u4137, _u4137, c_Lattices_Osemilattice__inf__class_Oinf(_u4137)), _u4140), _u4138))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4137), _u4139), skolem85(_u4140, _u4139, _u4138, _u4137))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_fold__sup__le__sup ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_fold__sup__le__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u4142) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4142), _u4143)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4142), hAPP(hAPP(c_Finite__Set_Ofold(_u4142, _u4142, c_Lattices_Osemilattice__sup__class_Osup(_u4142)), _u4145), _u4143)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4142), _u4144), _u4145))) | hBOOL(hAPP(hAPP(c_member(_u4142), skolem86(_u4145, _u4144, _u4143, _u4142)), _u4143)) )).
% 19.49/19.68 cnf(fact_fold__sup__le__sup-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u4142) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4142), _u4143)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4142), hAPP(hAPP(c_Finite__Set_Ofold(_u4142, _u4142, c_Lattices_Osemilattice__sup__class_Osup(_u4142)), _u4145), _u4143)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4142), _u4144), _u4145))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4142), skolem86(_u4145, _u4144, _u4143, _u4142)), _u4144)) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_expand__Suc ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_expand__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4146))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4146) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4146)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 19.49/19.68
% 19.49/19.68 % Formula: fact_UnionE ( axiom ) converted to clauses:
% 19.49/19.68 cnf(fact_UnionE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4148), _u4149), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u4148, tc_HOL_Obool), _u4150))) | hBOOL(hAPP(hAPP(c_member(_u4148), _u4149), skolem87(_u4150, _u4149, _u4148))) )).
% 19.49/19.69 cnf(fact_UnionE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u4148), _u4149), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u4148, tc_HOL_Obool), _u4150))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u4148, tc_HOL_Obool)), skolem87(_u4150, _u4149, _u4148)), _u4150)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_setprod__pos ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_setprod__pos-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4152) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4152), c_Groups_Ozero__class_Ozero(_u4152)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4153, _u4152), _u4155), _u4154))) | hBOOL(hAPP(hAPP(c_member(_u4153), skolem88(_u4155, _u4154, _u4153, _u4152)), _u4154)) )).
% 19.49/19.69 cnf(fact_setprod__pos-2, axiom, ( ~class_Rings_Olinordered__semidom(_u4152) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4152), c_Groups_Ozero__class_Ozero(_u4152)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4153, _u4152), _u4155), _u4154))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4152), c_Groups_Ozero__class_Ozero(_u4152)), hAPP(_u4155, skolem88(_u4155, _u4154, _u4153, _u4152)))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_setprod__nonneg ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_setprod__nonneg-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4157) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4157), c_Groups_Ozero__class_Ozero(_u4157)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4158, _u4157), _u4160), _u4159))) | hBOOL(hAPP(hAPP(c_member(_u4158), skolem89(_u4160, _u4159, _u4158, _u4157)), _u4159)) )).
% 19.49/19.69 cnf(fact_setprod__nonneg-2, axiom, ( ~class_Rings_Olinordered__semidom(_u4157) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4157), c_Groups_Ozero__class_Ozero(_u4157)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4158, _u4157), _u4160), _u4159))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4157), c_Groups_Ozero__class_Ozero(_u4157)), hAPP(_u4160, skolem89(_u4160, _u4159, _u4158, _u4157)))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_fold1__antimono ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_fold1__antimono-1, axiom, ( ~class_Orderings_Olinorder(_u4161) | ( _u4162 = c_Orderings_Obot__class_Obot(tc_fun(_u4161, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4161, tc_HOL_Obool)), _u4162), _u4163)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4161), _u4163)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4161), hAPP(c_Finite__Set_Ofold1(_u4161, c_Orderings_Oord__class_Omin(_u4161)), _u4163)), hAPP(c_Finite__Set_Ofold1(_u4161, c_Orderings_Oord__class_Omin(_u4161)), _u4162))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_field__le__epsilon ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_field__le__epsilon-1, axiom, ( ~class_Fields_Olinordered__field(_u4165) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4165), _u4166), _u4167)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4165), c_Groups_Ozero__class_Ozero(_u4165)), skolem90(_u4167, _u4166, _u4165))) )).
% 19.49/19.69 cnf(fact_field__le__epsilon-2, axiom, ( ~class_Fields_Olinordered__field(_u4165) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4165), _u4166), _u4167)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4165), _u4166), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4165), _u4167), skolem90(_u4167, _u4166, _u4165)))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_pair__box_Osize_I1_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_pair__box_Osize_I1_J-1, axiom, ( ( c_Nitpick_Opair__box_Opair__box__size(_u4168, _u4169, _u4170, _u4171, c_Nitpick_Opair__box_OPairBox(_u4168, _u4169, _u4172, _u4173)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u4170, _u4172)), hAPP(_u4171, _u4173))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_pair__box_Oinject ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_pair__box_Oinject-1, axiom, ( ( c_Nitpick_Opair__box_OPairBox(_u4180, _u4182, _u4184, _u4186) != c_Nitpick_Opair__box_OPairBox(_u4180, _u4182, _u4188, _u4190)) | ( _u4184 = _u4188) )).
% 19.49/19.69 cnf(fact_pair__box_Oinject-2, axiom, ( ( c_Nitpick_Opair__box_OPairBox(_u4180, _u4182, _u4184, _u4186) != c_Nitpick_Opair__box_OPairBox(_u4180, _u4182, _u4188, _u4190)) | ( _u4186 = _u4190) )).
% 19.49/19.69 cnf(fact_pair__box_Oinject-3, axiom, ( ( _u4185 != _u4189) | ( _u4187 != _u4191) | ( c_Nitpick_Opair__box_OPairBox(_u4181, _u4183, _u4185, _u4187) = c_Nitpick_Opair__box_OPairBox(_u4181, _u4183, _u4189, _u4191)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Min_Oidem ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Min_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u4192) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4192), _u4193), _u4193) = _u4193) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_Oinf__assoc ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_Oinf__assoc-1, axiom, ( ~class_Orderings_Olinorder(_u4194) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4194), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4194), _u4195), _u4196)), _u4197) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4194), _u4195), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4194), _u4196), _u4197))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_Oinf_Oassoc ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_Oinf_Oassoc-1, axiom, ( ~class_Orderings_Olinorder(_u4198) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4198), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4198), _u4199), _u4200)), _u4201) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4198), _u4199), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4198), _u4200), _u4201))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_Oinf__left__commute ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_Oinf__left__commute-1, axiom, ( ~class_Orderings_Olinorder(_u4202) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4202), _u4203), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4202), _u4204), _u4205)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4202), _u4204), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4202), _u4203), _u4205))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_Oinf_Oleft__commute ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_Oinf_Oleft__commute-1, axiom, ( ~class_Orderings_Olinorder(_u4206) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4206), _u4207), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4206), _u4208), _u4209)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4206), _u4208), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4206), _u4207), _u4209))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_Oinf__left__idem ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_Oinf__left__idem-1, axiom, ( ~class_Orderings_Olinorder(_u4210) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4210), _u4211), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4210), _u4211), _u4212)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4210), _u4211), _u4212)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_Oinf_Oleft__idem ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_Oinf_Oleft__idem-1, axiom, ( ~class_Orderings_Olinorder(_u4213) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4213), _u4214), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4213), _u4214), _u4215)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4213), _u4214), _u4215)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_Oinf__commute ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_Oinf__commute-1, axiom, ( ~class_Orderings_Olinorder(_u4216) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4216), _u4217), _u4218) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4216), _u4218), _u4217)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_Oinf_Ocommute ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_Oinf_Ocommute-1, axiom, ( ~class_Orderings_Olinorder(_u4219) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4219), _u4220), _u4221) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4219), _u4221), _u4220)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_Oinf_Oidem ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_Oinf_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u4222) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4222), _u4223), _u4223) = _u4223) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__number__of ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__number__of-1, axiom, ( ~class_Int_Onumber(_u4224) | ~class_Orderings_Oord(_u4224) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4224), hAPP(c_Int_Onumber__class_Onumber__of(_u4224), _u4225)), hAPP(c_Int_Onumber__class_Onumber__of(_u4224), _u4226))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4224), hAPP(c_Int_Onumber__class_Onumber__of(_u4224), _u4225)), hAPP(c_Int_Onumber__class_Onumber__of(_u4224), _u4226)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4224), _u4225)) )).
% 19.49/19.69 cnf(fact_min__number__of-2, axiom, ( ~class_Int_Onumber(_u4224) | ~class_Orderings_Oord(_u4224) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4224), hAPP(c_Int_Onumber__class_Onumber__of(_u4224), _u4225)), hAPP(c_Int_Onumber__class_Onumber__of(_u4224), _u4226))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4224), hAPP(c_Int_Onumber__class_Onumber__of(_u4224), _u4225)), hAPP(c_Int_Onumber__class_Onumber__of(_u4224), _u4226)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4224), _u4226)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_eq__number__of ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_eq__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u4227) | ~class_Int_Oring__char__0(_u4227) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4227), _u4228) != hAPP(c_Int_Onumber__class_Onumber__of(_u4227), _u4229)) | ( _u4228 = _u4229) )).
% 19.49/19.69 cnf(fact_eq__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u4227) | ~class_Int_Oring__char__0(_u4227) | ( _u4228 != _u4229) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4227), _u4228) = hAPP(c_Int_Onumber__class_Onumber__of(_u4227), _u4229)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_number__of__reorient ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_number__of__reorient-1, axiom, ( ~class_Int_Onumber(_u4230) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4230), _u4231) != _u4232) | ( _u4232 = hAPP(c_Int_Onumber__class_Onumber__of(_u4230), _u4231)) )).
% 19.49/19.69 cnf(fact_number__of__reorient-2, axiom, ( ~class_Int_Onumber(_u4230) | ( _u4232 != hAPP(c_Int_Onumber__class_Onumber__of(_u4230), _u4231)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4230), _u4231) = _u4232) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_Oinf__le1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_Oinf__le1-1, axiom, ( ~class_Orderings_Olinorder(_u4233) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4233), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4233), _u4234), _u4235)), _u4234)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_Oinf__le2 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_Oinf__le2-1, axiom, ( ~class_Orderings_Olinorder(_u4236) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4236), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4236), _u4237), _u4238)), _u4238)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_Ole__iff__inf ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_Ole__iff__inf-1, axiom, ( ~class_Orderings_Olinorder(_u4239) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4239), _u4240), _u4241)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4239), _u4240), _u4241) = _u4240) )).
% 19.49/19.69 cnf(fact_min__max_Ole__iff__inf-2, axiom, ( ~class_Orderings_Olinorder(_u4239) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4239), _u4240), _u4241) != _u4240) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4239), _u4240), _u4241)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_Ole__inf__iff ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_Ole__inf__iff-1, axiom, ( ~class_Orderings_Olinorder(_u4242) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4242), _u4243), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4242), _u4244), _u4245))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4242), _u4243), _u4244)) )).
% 19.49/19.69 cnf(fact_min__max_Ole__inf__iff-2, axiom, ( ~class_Orderings_Olinorder(_u4242) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4242), _u4243), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4242), _u4244), _u4245))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4242), _u4243), _u4245)) )).
% 19.49/19.69 cnf(fact_min__max_Ole__inf__iff-3, axiom, ( ~class_Orderings_Olinorder(_u4242) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4242), _u4243), _u4244)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4242), _u4243), _u4245)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4242), _u4243), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4242), _u4244), _u4245))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_Ole__infI1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_Ole__infI1-1, axiom, ( ~class_Orderings_Olinorder(_u4246) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4246), _u4247), _u4248)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4246), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4246), _u4247), _u4249)), _u4248)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_Ole__infI2 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_Ole__infI2-1, axiom, ( ~class_Orderings_Olinorder(_u4250) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4250), _u4251), _u4252)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4250), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4250), _u4253), _u4251)), _u4252)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_Oinf__absorb1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_Oinf__absorb1-1, axiom, ( ~class_Orderings_Olinorder(_u4254) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4254), _u4255), _u4256)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4254), _u4255), _u4256) = _u4255) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_Oinf__absorb2 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_Oinf__absorb2-1, axiom, ( ~class_Orderings_Olinorder(_u4257) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4257), _u4258), _u4259)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4257), _u4259), _u4258) = _u4258) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_Ole__infI ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_Ole__infI-1, axiom, ( ~class_Orderings_Olinorder(_u4260) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4260), _u4261), _u4262)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4260), _u4261), _u4263)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4260), _u4261), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4260), _u4262), _u4263))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_Oinf__greatest ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_Oinf__greatest-1, axiom, ( ~class_Orderings_Olinorder(_u4264) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4264), _u4265), _u4266)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4264), _u4265), _u4267)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4264), _u4265), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4264), _u4266), _u4267))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_Oinf__mono ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_Oinf__mono-1, axiom, ( ~class_Orderings_Olinorder(_u4268) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4268), _u4269), _u4270)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4268), _u4271), _u4272)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4268), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4268), _u4269), _u4271)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4268), _u4270), _u4272))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_Ole__infE ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_Ole__infE-1, axiom, ( ~class_Orderings_Olinorder(_u4273) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4273), _u4274), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4273), _u4275), _u4276))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4273), _u4274), _u4275)) )).
% 19.49/19.69 cnf(fact_min__max_Ole__infE-2, axiom, ( ~class_Orderings_Olinorder(_u4273) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4273), _u4274), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4273), _u4275), _u4276))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4273), _u4274), _u4276)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__le__iff__disj ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__le__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u4277) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4277), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4277), _u4278), _u4279)), _u4280)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4277), _u4278), _u4280)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4277), _u4279), _u4280)) )).
% 19.49/19.69 cnf(fact_min__le__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u4277) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4277), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4277), _u4278), _u4279)), _u4280)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4277), _u4278), _u4280)) )).
% 19.49/19.69 cnf(fact_min__le__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u4277) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4277), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4277), _u4278), _u4279)), _u4280)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4277), _u4279), _u4280)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__less__iff__disj ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__less__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u4281) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4281), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4281), _u4282), _u4283)), _u4284)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4281), _u4282), _u4284)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4281), _u4283), _u4284)) )).
% 19.49/19.69 cnf(fact_min__less__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u4281) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4281), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4281), _u4282), _u4283)), _u4284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4281), _u4282), _u4284)) )).
% 19.49/19.69 cnf(fact_min__less__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u4281) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4281), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4281), _u4282), _u4283)), _u4284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4281), _u4283), _u4284)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__less__iff__conj ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__less__iff__conj-1, axiom, ( ~class_Orderings_Olinorder(_u4285) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4285), _u4286), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4285), _u4287), _u4288))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4285), _u4286), _u4287)) )).
% 19.49/19.69 cnf(fact_min__less__iff__conj-2, axiom, ( ~class_Orderings_Olinorder(_u4285) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4285), _u4286), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4285), _u4287), _u4288))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4285), _u4286), _u4288)) )).
% 19.49/19.69 cnf(fact_min__less__iff__conj-3, axiom, ( ~class_Orderings_Olinorder(_u4285) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4285), _u4286), _u4287)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4285), _u4286), _u4288)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4285), _u4286), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4285), _u4287), _u4288))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_Oless__infI2 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_Oless__infI2-1, axiom, ( ~class_Orderings_Olinorder(_u4289) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4289), _u4290), _u4291)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4289), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4289), _u4292), _u4290)), _u4291)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_Oless__infI1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_Oless__infI1-1, axiom, ( ~class_Orderings_Olinorder(_u4293) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4293), _u4294), _u4295)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4293), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4293), _u4294), _u4296)), _u4295)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_le__number__of ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_le__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u4297) | ~class_Rings_Olinordered__idom(_u4297) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4297), hAPP(c_Int_Onumber__class_Onumber__of(_u4297), _u4298)), hAPP(c_Int_Onumber__class_Onumber__of(_u4297), _u4299))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4298), _u4299)) )).
% 19.49/19.69 cnf(fact_le__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u4297) | ~class_Rings_Olinordered__idom(_u4297) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4298), _u4299)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4297), hAPP(c_Int_Onumber__class_Onumber__of(_u4297), _u4298)), hAPP(c_Int_Onumber__class_Onumber__of(_u4297), _u4299))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_less__number__of ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_less__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u4300) | ~class_Rings_Olinordered__idom(_u4300) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4300), hAPP(c_Int_Onumber__class_Onumber__of(_u4300), _u4301)), hAPP(c_Int_Onumber__class_Onumber__of(_u4300), _u4302))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4301), _u4302)) )).
% 19.49/19.69 cnf(fact_less__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u4300) | ~class_Rings_Olinordered__idom(_u4300) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4301), _u4302)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4300), hAPP(c_Int_Onumber__class_Onumber__of(_u4300), _u4301)), hAPP(c_Int_Onumber__class_Onumber__of(_u4300), _u4302))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__add__distrib__left ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__add__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u4303) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4303), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4303), _u4304), _u4305)), _u4306) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4303), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4303), _u4304), _u4306)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4303), _u4305), _u4306))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__diff__distrib__left ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__diff__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u4307) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4307), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4307), _u4308), _u4309)), _u4310) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4307), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4307), _u4308), _u4310)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4307), _u4309), _u4310))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_number__of__add ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_number__of__add-1, axiom, ( ~class_Int_Onumber__ring(_u4311) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4311), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4312), _u4313)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4311), hAPP(c_Int_Onumber__class_Onumber__of(_u4311), _u4312)), hAPP(c_Int_Onumber__class_Onumber__of(_u4311), _u4313))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_add__number__of__eq ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_add__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u4314) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4314), hAPP(c_Int_Onumber__class_Onumber__of(_u4314), _u4315)), hAPP(c_Int_Onumber__class_Onumber__of(_u4314), _u4316)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4314), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4315), _u4316))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_add__number__of__left ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_add__number__of__left-1, axiom, ( ~class_Int_Onumber__ring(_u4317) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4317), hAPP(c_Int_Onumber__class_Onumber__of(_u4317), _u4318)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4317), hAPP(c_Int_Onumber__class_Onumber__of(_u4317), _u4319)), _u4320)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4317), hAPP(c_Int_Onumber__class_Onumber__of(_u4317), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4318), _u4319))), _u4320)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_mult__number__of__left ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_mult__number__of__left-1, axiom, ( ~class_Int_Onumber__ring(_u4321) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4321), hAPP(c_Int_Onumber__class_Onumber__of(_u4321), _u4322)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4321), hAPP(c_Int_Onumber__class_Onumber__of(_u4321), _u4323)), _u4324)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4321), hAPP(c_Int_Onumber__class_Onumber__of(_u4321), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4322), _u4323))), _u4324)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_arith__simps_I32_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_arith__simps_I32_J-1, axiom, ( ~class_Int_Onumber__ring(_u4325) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4325), hAPP(c_Int_Onumber__class_Onumber__of(_u4325), _u4326)), hAPP(c_Int_Onumber__class_Onumber__of(_u4325), _u4327)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4325), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4326), _u4327))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_number__of__mult ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_number__of__mult-1, axiom, ( ~class_Int_Onumber__ring(_u4328) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4328), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4329), _u4330)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4328), hAPP(c_Int_Onumber__class_Onumber__of(_u4328), _u4329)), hAPP(c_Int_Onumber__class_Onumber__of(_u4328), _u4330))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_number__of__diff ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_number__of__diff-1, axiom, ( ~class_Int_Onumber__ring(_u4331) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4331), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4332), _u4333)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4331), hAPP(c_Int_Onumber__class_Onumber__of(_u4331), _u4332)), hAPP(c_Int_Onumber__class_Onumber__of(_u4331), _u4333))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_inf__min ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_inf__min-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u4334) | ~class_Orderings_Olinorder(_u4334) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u4334) = c_Orderings_Oord__class_Omin(_u4334)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__0L ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__0L-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4335) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__0R ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__0R-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u4336), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__Suc__Suc ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__Suc__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4337)), hAPP(c_Nat_OSuc, _u4338)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u4337), _u4338))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__diff ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__diff-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4339), _u4340)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4341), _u4340)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u4339), _u4341)), _u4340)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_Ofun__left__comm__idem__inf ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_Ofun__left__comm__idem__inf-1, axiom, ( ~class_Orderings_Olinorder(_u4342) | c_Finite__Set_Ofun__left__comm__idem(_u4342, _u4342, c_Orderings_Oord__class_Omin(_u4342)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_le__number__of__eq__not__less ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_le__number__of__eq__not__less-1, axiom, ( ~class_Int_Onumber(_u4343) | ~class_Orderings_Olinorder(_u4343) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4343), hAPP(c_Int_Onumber__class_Onumber__of(_u4343), _u4344)), hAPP(c_Int_Onumber__class_Onumber__of(_u4343), _u4345))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4343), hAPP(c_Int_Onumber__class_Onumber__of(_u4343), _u4345)), hAPP(c_Int_Onumber__class_Onumber__of(_u4343), _u4344))) )).
% 19.49/19.69 cnf(fact_le__number__of__eq__not__less-2, axiom, ( ~class_Int_Onumber(_u4343) | ~class_Orderings_Olinorder(_u4343) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4343), hAPP(c_Int_Onumber__class_Onumber__of(_u4343), _u4345)), hAPP(c_Int_Onumber__class_Onumber__of(_u4343), _u4344))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4343), hAPP(c_Int_Onumber__class_Onumber__of(_u4343), _u4344)), hAPP(c_Int_Onumber__class_Onumber__of(_u4343), _u4345))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_left__distrib__number__of ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_left__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u4346) | ~class_Rings_Osemiring(_u4346) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4346), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4346), _u4347), _u4348)), hAPP(c_Int_Onumber__class_Onumber__of(_u4346), _u4349)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4346), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4346), _u4347), hAPP(c_Int_Onumber__class_Onumber__of(_u4346), _u4349))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4346), _u4348), hAPP(c_Int_Onumber__class_Onumber__of(_u4346), _u4349)))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_right__distrib__number__of ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_right__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u4350) | ~class_Rings_Osemiring(_u4350) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4350), hAPP(c_Int_Onumber__class_Onumber__of(_u4350), _u4351)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4350), _u4352), _u4353)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4350), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4350), hAPP(c_Int_Onumber__class_Onumber__of(_u4350), _u4351)), _u4352)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4350), hAPP(c_Int_Onumber__class_Onumber__of(_u4350), _u4351)), _u4353))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_add__number__of__diff1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_add__number__of__diff1-1, axiom, ( ~class_Int_Onumber__ring(_u4354) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4354), hAPP(c_Int_Onumber__class_Onumber__of(_u4354), _u4355)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4354), hAPP(c_Int_Onumber__class_Onumber__of(_u4354), _u4356)), _u4357)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4354), hAPP(c_Int_Onumber__class_Onumber__of(_u4354), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4355), _u4356))), _u4357)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_right__diff__distrib__number__of ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_right__diff__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u4358) | ~class_Rings_Oring(_u4358) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4358), hAPP(c_Int_Onumber__class_Onumber__of(_u4358), _u4359)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4358), _u4360), _u4361)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4358), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4358), hAPP(c_Int_Onumber__class_Onumber__of(_u4358), _u4359)), _u4360)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4358), hAPP(c_Int_Onumber__class_Onumber__of(_u4358), _u4359)), _u4361))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_left__diff__distrib__number__of ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_left__diff__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u4362) | ~class_Rings_Oring(_u4362) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4362), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4362), _u4363), _u4364)), hAPP(c_Int_Onumber__class_Onumber__of(_u4362), _u4365)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4362), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4362), _u4363), hAPP(c_Int_Onumber__class_Onumber__of(_u4362), _u4365))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4362), _u4364), hAPP(c_Int_Onumber__class_Onumber__of(_u4362), _u4365)))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Ints__number__of ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Ints__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u4366) | hBOOL(hAPP(hAPP(c_member(_u4366), hAPP(c_Int_Onumber__class_Onumber__of(_u4366), _u4367)), c_Int_Oring__1__class_OInts(_u4366))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_divide__eq__eq__number__of1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_divide__eq__eq__number__of1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4368) | ~class_Int_Onumber(_u4368) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4368), _u4369), hAPP(c_Int_Onumber__class_Onumber__of(_u4368), _u4370)) != _u4371) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4368), _u4370) = c_Groups_Ozero__class_Ozero(_u4368)) | ( _u4369 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4368), _u4371), hAPP(c_Int_Onumber__class_Onumber__of(_u4368), _u4370))) )).
% 19.49/19.69 cnf(fact_divide__eq__eq__number__of1-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4368) | ~class_Int_Onumber(_u4368) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4368), _u4369), hAPP(c_Int_Onumber__class_Onumber__of(_u4368), _u4370)) != _u4371) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4368), _u4370) != c_Groups_Ozero__class_Ozero(_u4368)) | ( _u4371 = c_Groups_Ozero__class_Ozero(_u4368)) )).
% 19.49/19.69 cnf(fact_divide__eq__eq__number__of1-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4368) | ~class_Int_Onumber(_u4368) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4368), _u4369), hAPP(c_Int_Onumber__class_Onumber__of(_u4368), _u4370)) = _u4371) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4368), _u4370) != c_Groups_Ozero__class_Ozero(_u4368)) | ( _u4371 != c_Groups_Ozero__class_Ozero(_u4368)) )).
% 19.49/19.69 cnf(fact_divide__eq__eq__number__of1-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4368) | ~class_Int_Onumber(_u4368) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4368), _u4369), hAPP(c_Int_Onumber__class_Onumber__of(_u4368), _u4370)) = _u4371) | ( _u4369 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4368), _u4371), hAPP(c_Int_Onumber__class_Onumber__of(_u4368), _u4370))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4368), _u4370) = c_Groups_Ozero__class_Ozero(_u4368)) )).
% 19.49/19.69 cnf(fact_divide__eq__eq__number__of1-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4368) | ~class_Int_Onumber(_u4368) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4368), _u4369), hAPP(c_Int_Onumber__class_Onumber__of(_u4368), _u4370)) = _u4371) | ( _u4369 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4368), _u4371), hAPP(c_Int_Onumber__class_Onumber__of(_u4368), _u4370))) | ( _u4371 != c_Groups_Ozero__class_Ozero(_u4368)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_divide__eq__eq__number__of ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_divide__eq__eq__number__of-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4372) | ~class_Int_Onumber(_u4372) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4372), _u4373), _u4374) != hAPP(c_Int_Onumber__class_Onumber__of(_u4372), _u4375)) | ( _u4374 = c_Groups_Ozero__class_Ozero(_u4372)) | ( _u4373 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4372), hAPP(c_Int_Onumber__class_Onumber__of(_u4372), _u4375)), _u4374)) )).
% 19.49/19.69 cnf(fact_divide__eq__eq__number__of-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4372) | ~class_Int_Onumber(_u4372) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4372), _u4373), _u4374) != hAPP(c_Int_Onumber__class_Onumber__of(_u4372), _u4375)) | ( _u4374 != c_Groups_Ozero__class_Ozero(_u4372)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4372), _u4375) = c_Groups_Ozero__class_Ozero(_u4372)) )).
% 19.49/19.69 cnf(fact_divide__eq__eq__number__of-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4372) | ~class_Int_Onumber(_u4372) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4372), _u4373), _u4374) = hAPP(c_Int_Onumber__class_Onumber__of(_u4372), _u4375)) | ( _u4374 != c_Groups_Ozero__class_Ozero(_u4372)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4372), _u4375) != c_Groups_Ozero__class_Ozero(_u4372)) )).
% 19.49/19.69 cnf(fact_divide__eq__eq__number__of-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4372) | ~class_Int_Onumber(_u4372) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4372), _u4373), _u4374) = hAPP(c_Int_Onumber__class_Onumber__of(_u4372), _u4375)) | ( _u4373 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4372), hAPP(c_Int_Onumber__class_Onumber__of(_u4372), _u4375)), _u4374)) | ( _u4374 = c_Groups_Ozero__class_Ozero(_u4372)) )).
% 19.49/19.69 cnf(fact_divide__eq__eq__number__of-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4372) | ~class_Int_Onumber(_u4372) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4372), _u4373), _u4374) = hAPP(c_Int_Onumber__class_Onumber__of(_u4372), _u4375)) | ( _u4373 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4372), hAPP(c_Int_Onumber__class_Onumber__of(_u4372), _u4375)), _u4374)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4372), _u4375) != c_Groups_Ozero__class_Ozero(_u4372)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_eq__divide__eq__number__of ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_eq__divide__eq__number__of-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4376) | ~class_Int_Onumber(_u4376) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4376), _u4377) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4376), _u4378), _u4379)) | ( _u4379 = c_Groups_Ozero__class_Ozero(_u4376)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4376), hAPP(c_Int_Onumber__class_Onumber__of(_u4376), _u4377)), _u4379) = _u4378) )).
% 19.49/19.69 cnf(fact_eq__divide__eq__number__of-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4376) | ~class_Int_Onumber(_u4376) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4376), _u4377) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4376), _u4378), _u4379)) | ( _u4379 != c_Groups_Ozero__class_Ozero(_u4376)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4376), _u4377) = c_Groups_Ozero__class_Ozero(_u4376)) )).
% 19.49/19.69 cnf(fact_eq__divide__eq__number__of-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4376) | ~class_Int_Onumber(_u4376) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4376), _u4377) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4376), _u4378), _u4379)) | ( _u4379 != c_Groups_Ozero__class_Ozero(_u4376)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4376), _u4377) != c_Groups_Ozero__class_Ozero(_u4376)) )).
% 19.49/19.69 cnf(fact_eq__divide__eq__number__of-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4376) | ~class_Int_Onumber(_u4376) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4376), _u4377) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4376), _u4378), _u4379)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4376), hAPP(c_Int_Onumber__class_Onumber__of(_u4376), _u4377)), _u4379) != _u4378) | ( _u4379 = c_Groups_Ozero__class_Ozero(_u4376)) )).
% 19.49/19.69 cnf(fact_eq__divide__eq__number__of-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4376) | ~class_Int_Onumber(_u4376) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4376), _u4377) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4376), _u4378), _u4379)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4376), hAPP(c_Int_Onumber__class_Onumber__of(_u4376), _u4377)), _u4379) != _u4378) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4376), _u4377) != c_Groups_Ozero__class_Ozero(_u4376)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_eq__divide__eq__number__of1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_eq__divide__eq__number__of1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4380) | ~class_Int_Onumber(_u4380) | ( _u4381 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4380), _u4382), hAPP(c_Int_Onumber__class_Onumber__of(_u4380), _u4383))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4380), _u4383) = c_Groups_Ozero__class_Ozero(_u4380)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4380), _u4381), hAPP(c_Int_Onumber__class_Onumber__of(_u4380), _u4383)) = _u4382) )).
% 19.49/19.69 cnf(fact_eq__divide__eq__number__of1-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4380) | ~class_Int_Onumber(_u4380) | ( _u4381 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4380), _u4382), hAPP(c_Int_Onumber__class_Onumber__of(_u4380), _u4383))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4380), _u4383) != c_Groups_Ozero__class_Ozero(_u4380)) | ( _u4381 = c_Groups_Ozero__class_Ozero(_u4380)) )).
% 19.49/19.69 cnf(fact_eq__divide__eq__number__of1-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4380) | ~class_Int_Onumber(_u4380) | ( _u4381 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4380), _u4382), hAPP(c_Int_Onumber__class_Onumber__of(_u4380), _u4383))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4380), _u4383) != c_Groups_Ozero__class_Ozero(_u4380)) | ( _u4381 != c_Groups_Ozero__class_Ozero(_u4380)) )).
% 19.49/19.69 cnf(fact_eq__divide__eq__number__of1-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4380) | ~class_Int_Onumber(_u4380) | ( _u4381 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4380), _u4382), hAPP(c_Int_Onumber__class_Onumber__of(_u4380), _u4383))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4380), _u4381), hAPP(c_Int_Onumber__class_Onumber__of(_u4380), _u4383)) != _u4382) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4380), _u4383) = c_Groups_Ozero__class_Ozero(_u4380)) )).
% 19.49/19.69 cnf(fact_eq__divide__eq__number__of1-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4380) | ~class_Int_Onumber(_u4380) | ( _u4381 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4380), _u4382), hAPP(c_Int_Onumber__class_Onumber__of(_u4380), _u4383))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4380), _u4381), hAPP(c_Int_Onumber__class_Onumber__of(_u4380), _u4383)) != _u4382) | ( _u4381 != c_Groups_Ozero__class_Ozero(_u4380)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_Ofold__inf__insert ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_Ofold__inf__insert-1, axiom, ( ~class_Orderings_Olinorder(_u4384) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4384), _u4385)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u4384, _u4384, c_Orderings_Oord__class_Omin(_u4384)), _u4386), hAPP(hAPP(c_Set_Oinsert(_u4384), _u4387), _u4385)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4384), _u4387), hAPP(hAPP(c_Finite__Set_Ofold(_u4384, _u4384, c_Orderings_Oord__class_Omin(_u4384)), _u4386), _u4385))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_less__divide__eq__number__of1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_less__divide__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4388) | ~class_Int_Onumber(_u4388) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4389), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4388), _u4390), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), c_Groups_Ozero__class_Ozero(_u4388)), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4388), _u4389), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391))), _u4390)) )).
% 19.49/19.69 cnf(fact_less__divide__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4388) | ~class_Int_Onumber(_u4388) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4389), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4388), _u4390), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), c_Groups_Ozero__class_Ozero(_u4388)), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)), c_Groups_Ozero__class_Ozero(_u4388))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4390), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4388), _u4389), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)))) )).
% 19.49/19.69 cnf(fact_less__divide__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4388) | ~class_Int_Onumber(_u4388) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4389), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4388), _u4390), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), c_Groups_Ozero__class_Ozero(_u4388)), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)), c_Groups_Ozero__class_Ozero(_u4388))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4389), c_Groups_Ozero__class_Ozero(_u4388))) )).
% 19.49/19.69 cnf(fact_less__divide__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4388) | ~class_Int_Onumber(_u4388) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4389), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4388), _u4390), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), c_Groups_Ozero__class_Ozero(_u4388)), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)), c_Groups_Ozero__class_Ozero(_u4388))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4389), c_Groups_Ozero__class_Ozero(_u4388))) )).
% 19.49/19.69 cnf(fact_less__divide__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4388) | ~class_Int_Onumber(_u4388) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4389), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4388), _u4390), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), c_Groups_Ozero__class_Ozero(_u4388)), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4390), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4388), _u4389), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)), c_Groups_Ozero__class_Ozero(_u4388))) )).
% 19.49/19.69 cnf(fact_less__divide__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4388) | ~class_Int_Onumber(_u4388) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4389), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4388), _u4390), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), c_Groups_Ozero__class_Ozero(_u4388)), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4390), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4388), _u4389), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4389), c_Groups_Ozero__class_Ozero(_u4388))) )).
% 19.49/19.69 cnf(fact_less__divide__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4388) | ~class_Int_Onumber(_u4388) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4389), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4388), _u4390), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4388), _u4389), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391))), _u4390)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), c_Groups_Ozero__class_Ozero(_u4388)), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391))) )).
% 19.49/19.69 cnf(fact_less__divide__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4388) | ~class_Int_Onumber(_u4388) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4389), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4388), _u4390), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4388), _u4389), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391))), _u4390)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)), c_Groups_Ozero__class_Ozero(_u4388))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4389), c_Groups_Ozero__class_Ozero(_u4388))) )).
% 19.49/19.69 cnf(fact_less__divide__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4388) | ~class_Int_Onumber(_u4388) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4389), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4388), _u4390), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4388), _u4389), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391))), _u4390)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4390), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4388), _u4389), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)), c_Groups_Ozero__class_Ozero(_u4388))) )).
% 19.49/19.69 cnf(fact_less__divide__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4388) | ~class_Int_Onumber(_u4388) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4389), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4388), _u4390), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4388), _u4389), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391))), _u4390)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4390), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4388), _u4389), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4389), c_Groups_Ozero__class_Ozero(_u4388))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_less__divide__eq__number__of ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_less__divide__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4392) | ~class_Int_Onumber(_u4392) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4392), _u4394), _u4395))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), c_Groups_Ozero__class_Ozero(_u4392)), _u4395)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), _u4395)), _u4394)) )).
% 19.49/19.69 cnf(fact_less__divide__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4392) | ~class_Int_Onumber(_u4392) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4392), _u4394), _u4395))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), c_Groups_Ozero__class_Ozero(_u4392)), _u4395)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), _u4395), c_Groups_Ozero__class_Ozero(_u4392))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), _u4394), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), _u4395))) )).
% 19.49/19.69 cnf(fact_less__divide__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4392) | ~class_Int_Onumber(_u4392) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4392), _u4394), _u4395))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), c_Groups_Ozero__class_Ozero(_u4392)), _u4395)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), _u4395), c_Groups_Ozero__class_Ozero(_u4392))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), c_Groups_Ozero__class_Ozero(_u4392))) )).
% 19.49/19.69 cnf(fact_less__divide__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4392) | ~class_Int_Onumber(_u4392) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4392), _u4394), _u4395))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), c_Groups_Ozero__class_Ozero(_u4392)), _u4395)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), _u4395), c_Groups_Ozero__class_Ozero(_u4392))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), c_Groups_Ozero__class_Ozero(_u4392))) )).
% 19.49/19.69 cnf(fact_less__divide__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4392) | ~class_Int_Onumber(_u4392) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4392), _u4394), _u4395))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), c_Groups_Ozero__class_Ozero(_u4392)), _u4395)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), _u4394), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), _u4395))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), _u4395), c_Groups_Ozero__class_Ozero(_u4392))) )).
% 19.49/19.69 cnf(fact_less__divide__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4392) | ~class_Int_Onumber(_u4392) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4392), _u4394), _u4395))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), c_Groups_Ozero__class_Ozero(_u4392)), _u4395)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), _u4394), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), _u4395))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), c_Groups_Ozero__class_Ozero(_u4392))) )).
% 19.49/19.69 cnf(fact_less__divide__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4392) | ~class_Int_Onumber(_u4392) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4392), _u4394), _u4395))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), _u4395)), _u4394)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), c_Groups_Ozero__class_Ozero(_u4392)), _u4395)) )).
% 19.49/19.69 cnf(fact_less__divide__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4392) | ~class_Int_Onumber(_u4392) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4392), _u4394), _u4395))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), _u4395)), _u4394)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), _u4395), c_Groups_Ozero__class_Ozero(_u4392))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), c_Groups_Ozero__class_Ozero(_u4392))) )).
% 19.49/19.69 cnf(fact_less__divide__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4392) | ~class_Int_Onumber(_u4392) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4392), _u4394), _u4395))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), _u4395)), _u4394)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), _u4394), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), _u4395))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), _u4395), c_Groups_Ozero__class_Ozero(_u4392))) )).
% 19.49/19.69 cnf(fact_less__divide__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4392) | ~class_Int_Onumber(_u4392) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4392), _u4394), _u4395))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), _u4395)), _u4394)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), _u4394), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), _u4395))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), c_Groups_Ozero__class_Ozero(_u4392))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_divide__less__eq__number__of ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_divide__less__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4396) | ~class_Int_Onumber(_u4396) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4396), _u4397), _u4398)), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), c_Groups_Ozero__class_Ozero(_u4396)), _u4398)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), _u4397), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4396), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399)), _u4398))) )).
% 19.49/19.69 cnf(fact_divide__less__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4396) | ~class_Int_Onumber(_u4396) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4396), _u4397), _u4398)), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), c_Groups_Ozero__class_Ozero(_u4396)), _u4398)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), _u4398), c_Groups_Ozero__class_Ozero(_u4396))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4396), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399)), _u4398)), _u4397)) )).
% 19.49/19.69 cnf(fact_divide__less__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4396) | ~class_Int_Onumber(_u4396) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4396), _u4397), _u4398)), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), c_Groups_Ozero__class_Ozero(_u4396)), _u4398)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), _u4398), c_Groups_Ozero__class_Ozero(_u4396))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), c_Groups_Ozero__class_Ozero(_u4396)), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399))) )).
% 19.49/19.69 cnf(fact_divide__less__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4396) | ~class_Int_Onumber(_u4396) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4396), _u4397), _u4398)), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), c_Groups_Ozero__class_Ozero(_u4396)), _u4398)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), _u4398), c_Groups_Ozero__class_Ozero(_u4396))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), c_Groups_Ozero__class_Ozero(_u4396)), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399))) )).
% 19.49/19.69 cnf(fact_divide__less__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4396) | ~class_Int_Onumber(_u4396) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4396), _u4397), _u4398)), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), c_Groups_Ozero__class_Ozero(_u4396)), _u4398)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4396), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399)), _u4398)), _u4397)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), _u4398), c_Groups_Ozero__class_Ozero(_u4396))) )).
% 19.49/19.69 cnf(fact_divide__less__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4396) | ~class_Int_Onumber(_u4396) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4396), _u4397), _u4398)), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), c_Groups_Ozero__class_Ozero(_u4396)), _u4398)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4396), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399)), _u4398)), _u4397)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), c_Groups_Ozero__class_Ozero(_u4396)), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399))) )).
% 19.49/19.69 cnf(fact_divide__less__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4396) | ~class_Int_Onumber(_u4396) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4396), _u4397), _u4398)), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), _u4397), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4396), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399)), _u4398))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), c_Groups_Ozero__class_Ozero(_u4396)), _u4398)) )).
% 19.49/19.69 cnf(fact_divide__less__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4396) | ~class_Int_Onumber(_u4396) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4396), _u4397), _u4398)), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), _u4397), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4396), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399)), _u4398))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), _u4398), c_Groups_Ozero__class_Ozero(_u4396))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), c_Groups_Ozero__class_Ozero(_u4396)), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399))) )).
% 19.49/19.69 cnf(fact_divide__less__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4396) | ~class_Int_Onumber(_u4396) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4396), _u4397), _u4398)), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), _u4397), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4396), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399)), _u4398))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4396), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399)), _u4398)), _u4397)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), _u4398), c_Groups_Ozero__class_Ozero(_u4396))) )).
% 19.49/19.69 cnf(fact_divide__less__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4396) | ~class_Int_Onumber(_u4396) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4396), _u4397), _u4398)), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), _u4397), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4396), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399)), _u4398))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4396), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399)), _u4398)), _u4397)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), c_Groups_Ozero__class_Ozero(_u4396)), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_divide__less__eq__number__of1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_divide__less__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4400) | ~class_Int_Onumber(_u4400) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4400), _u4401), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))), _u4403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), c_Groups_Ozero__class_Ozero(_u4400)), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), _u4401), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4400), _u4403), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402)))) )).
% 19.49/19.69 cnf(fact_divide__less__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4400) | ~class_Int_Onumber(_u4400) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4400), _u4401), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))), _u4403)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), c_Groups_Ozero__class_Ozero(_u4400)), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402)), c_Groups_Ozero__class_Ozero(_u4400))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4400), _u4403), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))), _u4401)) )).
% 19.49/19.69 cnf(fact_divide__less__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4400) | ~class_Int_Onumber(_u4400) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4400), _u4401), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))), _u4403)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), c_Groups_Ozero__class_Ozero(_u4400)), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402)), c_Groups_Ozero__class_Ozero(_u4400))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), c_Groups_Ozero__class_Ozero(_u4400)), _u4403)) )).
% 19.49/19.69 cnf(fact_divide__less__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4400) | ~class_Int_Onumber(_u4400) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4400), _u4401), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))), _u4403)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), c_Groups_Ozero__class_Ozero(_u4400)), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402)), c_Groups_Ozero__class_Ozero(_u4400))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), c_Groups_Ozero__class_Ozero(_u4400)), _u4403)) )).
% 19.49/19.69 cnf(fact_divide__less__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4400) | ~class_Int_Onumber(_u4400) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4400), _u4401), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))), _u4403)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), c_Groups_Ozero__class_Ozero(_u4400)), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4400), _u4403), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))), _u4401)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402)), c_Groups_Ozero__class_Ozero(_u4400))) )).
% 19.49/19.69 cnf(fact_divide__less__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4400) | ~class_Int_Onumber(_u4400) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4400), _u4401), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))), _u4403)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), c_Groups_Ozero__class_Ozero(_u4400)), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4400), _u4403), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))), _u4401)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), c_Groups_Ozero__class_Ozero(_u4400)), _u4403)) )).
% 19.49/19.69 cnf(fact_divide__less__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4400) | ~class_Int_Onumber(_u4400) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4400), _u4401), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))), _u4403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), _u4401), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4400), _u4403), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), c_Groups_Ozero__class_Ozero(_u4400)), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))) )).
% 19.49/19.69 cnf(fact_divide__less__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4400) | ~class_Int_Onumber(_u4400) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4400), _u4401), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))), _u4403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), _u4401), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4400), _u4403), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402)), c_Groups_Ozero__class_Ozero(_u4400))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), c_Groups_Ozero__class_Ozero(_u4400)), _u4403)) )).
% 19.49/19.69 cnf(fact_divide__less__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4400) | ~class_Int_Onumber(_u4400) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4400), _u4401), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))), _u4403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), _u4401), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4400), _u4403), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4400), _u4403), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))), _u4401)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402)), c_Groups_Ozero__class_Ozero(_u4400))) )).
% 19.49/19.69 cnf(fact_divide__less__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4400) | ~class_Int_Onumber(_u4400) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4400), _u4401), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))), _u4403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), _u4401), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4400), _u4403), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4400), _u4403), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))), _u4401)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), c_Groups_Ozero__class_Ozero(_u4400)), _u4403)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_Ofold__inf__le__inf ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_Ofold__inf__le__inf-1, axiom, ( ~class_Orderings_Olinorder(_u4404) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4404), _u4405)) | ~hBOOL(hAPP(hAPP(c_member(_u4404), _u4406), _u4405)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4404), hAPP(hAPP(c_Finite__Set_Ofold(_u4404, _u4404, c_Orderings_Oord__class_Omin(_u4404)), _u4407), _u4405)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4404), _u4406), _u4407))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_Ofold1__belowI ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_Ofold1__belowI-1, axiom, ( ~class_Orderings_Olinorder(_u4408) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4408), _u4409)) | ~hBOOL(hAPP(hAPP(c_member(_u4408), _u4410), _u4409)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4408), hAPP(c_Finite__Set_Ofold1(_u4408, c_Orderings_Oord__class_Omin(_u4408)), _u4409)), _u4410)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_fold1__below__iff ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_fold1__below__iff-1, axiom, ( ~class_Orderings_Olinorder(_u4413) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4413), _u4414)) | ( _u4414 = c_Orderings_Obot__class_Obot(tc_fun(_u4413, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4413), hAPP(c_Finite__Set_Ofold1(_u4413, c_Orderings_Oord__class_Omin(_u4413)), _u4414)), _u4415)) | hBOOL(hAPP(hAPP(c_member(_u4413), skolem91(_u4415, _u4414, _u4413)), _u4414)) )).
% 19.49/19.69 cnf(fact_fold1__below__iff-2, axiom, ( ~class_Orderings_Olinorder(_u4413) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4413), _u4414)) | ( _u4414 = c_Orderings_Obot__class_Obot(tc_fun(_u4413, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4413), hAPP(c_Finite__Set_Ofold1(_u4413, c_Orderings_Oord__class_Omin(_u4413)), _u4414)), _u4415)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4413), skolem91(_u4415, _u4414, _u4413)), _u4415)) )).
% 19.49/19.69 cnf(fact_fold1__below__iff-3, axiom, ( ~class_Orderings_Olinorder(_u4413) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4413), _u4414)) | ( _u4414 = c_Orderings_Obot__class_Obot(tc_fun(_u4413, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u4413), _u4412), _u4414)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4413), _u4412), _u4415)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4413), hAPP(c_Finite__Set_Ofold1(_u4413, c_Orderings_Oord__class_Omin(_u4413)), _u4414)), _u4415)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_Obelow__fold1__iff ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_Obelow__fold1__iff-1, axiom, ( ~class_Orderings_Olinorder(_u4418) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4418), _u4419)) | ( _u4419 = c_Orderings_Obot__class_Obot(tc_fun(_u4418, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4418), _u4420), hAPP(c_Finite__Set_Ofold1(_u4418, c_Orderings_Oord__class_Omin(_u4418)), _u4419))) | ~hBOOL(hAPP(hAPP(c_member(_u4418), _u4416), _u4419)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4418), _u4420), _u4416)) )).
% 19.49/19.69 cnf(fact_min__max_Obelow__fold1__iff-2, axiom, ( ~class_Orderings_Olinorder(_u4418) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4418), _u4419)) | ( _u4419 = c_Orderings_Obot__class_Obot(tc_fun(_u4418, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4418), _u4420), hAPP(c_Finite__Set_Ofold1(_u4418, c_Orderings_Oord__class_Omin(_u4418)), _u4419))) | hBOOL(hAPP(hAPP(c_member(_u4418), skolem92(_u4420, _u4419, _u4418)), _u4419)) )).
% 19.49/19.69 cnf(fact_min__max_Obelow__fold1__iff-3, axiom, ( ~class_Orderings_Olinorder(_u4418) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4418), _u4419)) | ( _u4419 = c_Orderings_Obot__class_Obot(tc_fun(_u4418, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4418), _u4420), hAPP(c_Finite__Set_Ofold1(_u4418, c_Orderings_Oord__class_Omin(_u4418)), _u4419))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4418), _u4420), skolem92(_u4420, _u4419, _u4418))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_fold1__strict__below__iff ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_fold1__strict__below__iff-1, axiom, ( ~class_Orderings_Olinorder(_u4423) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4423), _u4424)) | ( _u4424 = c_Orderings_Obot__class_Obot(tc_fun(_u4423, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4423), hAPP(c_Finite__Set_Ofold1(_u4423, c_Orderings_Oord__class_Omin(_u4423)), _u4424)), _u4425)) | hBOOL(hAPP(hAPP(c_member(_u4423), skolem93(_u4425, _u4424, _u4423)), _u4424)) )).
% 19.49/19.69 cnf(fact_fold1__strict__below__iff-2, axiom, ( ~class_Orderings_Olinorder(_u4423) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4423), _u4424)) | ( _u4424 = c_Orderings_Obot__class_Obot(tc_fun(_u4423, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4423), hAPP(c_Finite__Set_Ofold1(_u4423, c_Orderings_Oord__class_Omin(_u4423)), _u4424)), _u4425)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4423), skolem93(_u4425, _u4424, _u4423)), _u4425)) )).
% 19.49/19.69 cnf(fact_fold1__strict__below__iff-3, axiom, ( ~class_Orderings_Olinorder(_u4423) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4423), _u4424)) | ( _u4424 = c_Orderings_Obot__class_Obot(tc_fun(_u4423, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u4423), _u4422), _u4424)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4423), _u4422), _u4425)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4423), hAPP(c_Finite__Set_Ofold1(_u4423, c_Orderings_Oord__class_Omin(_u4423)), _u4424)), _u4425)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_strict__below__fold1__iff ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_strict__below__fold1__iff-1, axiom, ( ~class_Orderings_Olinorder(_u4428) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4428), _u4429)) | ( _u4429 = c_Orderings_Obot__class_Obot(tc_fun(_u4428, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4428), _u4430), hAPP(c_Finite__Set_Ofold1(_u4428, c_Orderings_Oord__class_Omin(_u4428)), _u4429))) | ~hBOOL(hAPP(hAPP(c_member(_u4428), _u4426), _u4429)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4428), _u4430), _u4426)) )).
% 19.49/19.69 cnf(fact_strict__below__fold1__iff-2, axiom, ( ~class_Orderings_Olinorder(_u4428) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4428), _u4429)) | ( _u4429 = c_Orderings_Obot__class_Obot(tc_fun(_u4428, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4428), _u4430), hAPP(c_Finite__Set_Ofold1(_u4428, c_Orderings_Oord__class_Omin(_u4428)), _u4429))) | hBOOL(hAPP(hAPP(c_member(_u4428), skolem94(_u4430, _u4429, _u4428)), _u4429)) )).
% 19.49/19.69 cnf(fact_strict__below__fold1__iff-3, axiom, ( ~class_Orderings_Olinorder(_u4428) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4428), _u4429)) | ( _u4429 = c_Orderings_Obot__class_Obot(tc_fun(_u4428, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4428), _u4430), hAPP(c_Finite__Set_Ofold1(_u4428, c_Orderings_Oord__class_Omin(_u4428)), _u4429))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4428), _u4430), skolem94(_u4430, _u4429, _u4428))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_divide__le__eq__number__of1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_divide__le__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4431) | ~class_Int_Onumber(_u4431) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4431), _u4432), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))), _u4434)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4431), c_Groups_Ozero__class_Ozero(_u4431)), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), _u4432), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4431), _u4434), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433)))) )).
% 19.49/19.69 cnf(fact_divide__le__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4431) | ~class_Int_Onumber(_u4431) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4431), _u4432), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))), _u4434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4431), c_Groups_Ozero__class_Ozero(_u4431)), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4431), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433)), c_Groups_Ozero__class_Ozero(_u4431))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4431), _u4434), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))), _u4432)) )).
% 19.49/19.69 cnf(fact_divide__le__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4431) | ~class_Int_Onumber(_u4431) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4431), _u4432), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))), _u4434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4431), c_Groups_Ozero__class_Ozero(_u4431)), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4431), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433)), c_Groups_Ozero__class_Ozero(_u4431))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), c_Groups_Ozero__class_Ozero(_u4431)), _u4434)) )).
% 19.49/19.69 cnf(fact_divide__le__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4431) | ~class_Int_Onumber(_u4431) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4431), _u4432), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))), _u4434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4431), c_Groups_Ozero__class_Ozero(_u4431)), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4431), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433)), c_Groups_Ozero__class_Ozero(_u4431))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), c_Groups_Ozero__class_Ozero(_u4431)), _u4434)) )).
% 19.49/19.69 cnf(fact_divide__le__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4431) | ~class_Int_Onumber(_u4431) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4431), _u4432), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))), _u4434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4431), c_Groups_Ozero__class_Ozero(_u4431)), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4431), _u4434), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))), _u4432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4431), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433)), c_Groups_Ozero__class_Ozero(_u4431))) )).
% 19.49/19.69 cnf(fact_divide__le__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4431) | ~class_Int_Onumber(_u4431) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4431), _u4432), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))), _u4434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4431), c_Groups_Ozero__class_Ozero(_u4431)), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4431), _u4434), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))), _u4432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), c_Groups_Ozero__class_Ozero(_u4431)), _u4434)) )).
% 19.49/19.69 cnf(fact_divide__le__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4431) | ~class_Int_Onumber(_u4431) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4431), _u4432), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))), _u4434)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), _u4432), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4431), _u4434), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4431), c_Groups_Ozero__class_Ozero(_u4431)), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))) )).
% 19.49/19.69 cnf(fact_divide__le__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4431) | ~class_Int_Onumber(_u4431) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4431), _u4432), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))), _u4434)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), _u4432), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4431), _u4434), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4431), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433)), c_Groups_Ozero__class_Ozero(_u4431))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), c_Groups_Ozero__class_Ozero(_u4431)), _u4434)) )).
% 19.49/19.69 cnf(fact_divide__le__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4431) | ~class_Int_Onumber(_u4431) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4431), _u4432), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))), _u4434)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), _u4432), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4431), _u4434), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4431), _u4434), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))), _u4432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4431), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433)), c_Groups_Ozero__class_Ozero(_u4431))) )).
% 19.49/19.69 cnf(fact_divide__le__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4431) | ~class_Int_Onumber(_u4431) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4431), _u4432), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))), _u4434)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), _u4432), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4431), _u4434), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4431), _u4434), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))), _u4432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), c_Groups_Ozero__class_Ozero(_u4431)), _u4434)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_divide__le__eq__number__of ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_divide__le__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4435) | ~class_Int_Onumber(_u4435) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4435), _u4436), _u4437)), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4435), c_Groups_Ozero__class_Ozero(_u4435)), _u4437)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), _u4436), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4435), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438)), _u4437))) )).
% 19.49/19.69 cnf(fact_divide__le__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4435) | ~class_Int_Onumber(_u4435) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4435), _u4436), _u4437)), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4435), c_Groups_Ozero__class_Ozero(_u4435)), _u4437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4435), _u4437), c_Groups_Ozero__class_Ozero(_u4435))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4435), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438)), _u4437)), _u4436)) )).
% 19.49/19.69 cnf(fact_divide__le__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4435) | ~class_Int_Onumber(_u4435) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4435), _u4436), _u4437)), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4435), c_Groups_Ozero__class_Ozero(_u4435)), _u4437)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4435), _u4437), c_Groups_Ozero__class_Ozero(_u4435))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), c_Groups_Ozero__class_Ozero(_u4435)), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438))) )).
% 19.49/19.69 cnf(fact_divide__le__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4435) | ~class_Int_Onumber(_u4435) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4435), _u4436), _u4437)), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4435), c_Groups_Ozero__class_Ozero(_u4435)), _u4437)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4435), _u4437), c_Groups_Ozero__class_Ozero(_u4435))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), c_Groups_Ozero__class_Ozero(_u4435)), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438))) )).
% 19.49/19.69 cnf(fact_divide__le__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4435) | ~class_Int_Onumber(_u4435) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4435), _u4436), _u4437)), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4435), c_Groups_Ozero__class_Ozero(_u4435)), _u4437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4435), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438)), _u4437)), _u4436)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4435), _u4437), c_Groups_Ozero__class_Ozero(_u4435))) )).
% 19.49/19.69 cnf(fact_divide__le__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4435) | ~class_Int_Onumber(_u4435) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4435), _u4436), _u4437)), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4435), c_Groups_Ozero__class_Ozero(_u4435)), _u4437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4435), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438)), _u4437)), _u4436)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), c_Groups_Ozero__class_Ozero(_u4435)), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438))) )).
% 19.49/19.69 cnf(fact_divide__le__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4435) | ~class_Int_Onumber(_u4435) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4435), _u4436), _u4437)), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), _u4436), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4435), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438)), _u4437))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4435), c_Groups_Ozero__class_Ozero(_u4435)), _u4437)) )).
% 19.49/19.69 cnf(fact_divide__le__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4435) | ~class_Int_Onumber(_u4435) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4435), _u4436), _u4437)), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), _u4436), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4435), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438)), _u4437))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4435), _u4437), c_Groups_Ozero__class_Ozero(_u4435))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), c_Groups_Ozero__class_Ozero(_u4435)), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438))) )).
% 19.49/19.69 cnf(fact_divide__le__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4435) | ~class_Int_Onumber(_u4435) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4435), _u4436), _u4437)), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), _u4436), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4435), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438)), _u4437))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4435), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438)), _u4437)), _u4436)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4435), _u4437), c_Groups_Ozero__class_Ozero(_u4435))) )).
% 19.49/19.69 cnf(fact_divide__le__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4435) | ~class_Int_Onumber(_u4435) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4435), _u4436), _u4437)), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), _u4436), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4435), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438)), _u4437))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4435), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438)), _u4437)), _u4436)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), c_Groups_Ozero__class_Ozero(_u4435)), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_le__divide__eq__number__of ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_le__divide__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4439) | ~class_Int_Onumber(_u4439) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4439), _u4441), _u4442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4439), c_Groups_Ozero__class_Ozero(_u4439)), _u4442)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), _u4442)), _u4441)) )).
% 19.49/19.69 cnf(fact_le__divide__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4439) | ~class_Int_Onumber(_u4439) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4439), _u4441), _u4442))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4439), c_Groups_Ozero__class_Ozero(_u4439)), _u4442)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4439), _u4442), c_Groups_Ozero__class_Ozero(_u4439))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), _u4441), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), _u4442))) )).
% 19.49/19.69 cnf(fact_le__divide__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4439) | ~class_Int_Onumber(_u4439) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4439), _u4441), _u4442))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4439), c_Groups_Ozero__class_Ozero(_u4439)), _u4442)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4439), _u4442), c_Groups_Ozero__class_Ozero(_u4439))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), c_Groups_Ozero__class_Ozero(_u4439))) )).
% 19.49/19.69 cnf(fact_le__divide__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4439) | ~class_Int_Onumber(_u4439) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4439), _u4441), _u4442))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4439), c_Groups_Ozero__class_Ozero(_u4439)), _u4442)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4439), _u4442), c_Groups_Ozero__class_Ozero(_u4439))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), c_Groups_Ozero__class_Ozero(_u4439))) )).
% 19.49/19.69 cnf(fact_le__divide__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4439) | ~class_Int_Onumber(_u4439) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4439), _u4441), _u4442))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4439), c_Groups_Ozero__class_Ozero(_u4439)), _u4442)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), _u4441), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), _u4442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4439), _u4442), c_Groups_Ozero__class_Ozero(_u4439))) )).
% 19.49/19.69 cnf(fact_le__divide__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4439) | ~class_Int_Onumber(_u4439) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4439), _u4441), _u4442))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4439), c_Groups_Ozero__class_Ozero(_u4439)), _u4442)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), _u4441), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), _u4442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), c_Groups_Ozero__class_Ozero(_u4439))) )).
% 19.49/19.69 cnf(fact_le__divide__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4439) | ~class_Int_Onumber(_u4439) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4439), _u4441), _u4442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), _u4442)), _u4441)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4439), c_Groups_Ozero__class_Ozero(_u4439)), _u4442)) )).
% 19.49/19.69 cnf(fact_le__divide__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4439) | ~class_Int_Onumber(_u4439) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4439), _u4441), _u4442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), _u4442)), _u4441)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4439), _u4442), c_Groups_Ozero__class_Ozero(_u4439))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), c_Groups_Ozero__class_Ozero(_u4439))) )).
% 19.49/19.69 cnf(fact_le__divide__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4439) | ~class_Int_Onumber(_u4439) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4439), _u4441), _u4442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), _u4442)), _u4441)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), _u4441), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), _u4442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4439), _u4442), c_Groups_Ozero__class_Ozero(_u4439))) )).
% 19.49/19.69 cnf(fact_le__divide__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4439) | ~class_Int_Onumber(_u4439) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4439), _u4441), _u4442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), _u4442)), _u4441)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), _u4441), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), _u4442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), c_Groups_Ozero__class_Ozero(_u4439))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_le__divide__eq__number__of1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_le__divide__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4443) | ~class_Int_Onumber(_u4443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4444), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4443), _u4445), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4443), c_Groups_Ozero__class_Ozero(_u4443)), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4443), _u4444), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446))), _u4445)) )).
% 19.49/19.69 cnf(fact_le__divide__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4443) | ~class_Int_Onumber(_u4443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4444), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4443), _u4445), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4443), c_Groups_Ozero__class_Ozero(_u4443)), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4443), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)), c_Groups_Ozero__class_Ozero(_u4443))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4445), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4443), _u4444), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)))) )).
% 19.49/19.69 cnf(fact_le__divide__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4443) | ~class_Int_Onumber(_u4443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4444), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4443), _u4445), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4443), c_Groups_Ozero__class_Ozero(_u4443)), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4443), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)), c_Groups_Ozero__class_Ozero(_u4443))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4444), c_Groups_Ozero__class_Ozero(_u4443))) )).
% 19.49/19.69 cnf(fact_le__divide__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4443) | ~class_Int_Onumber(_u4443) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4444), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4443), _u4445), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4443), c_Groups_Ozero__class_Ozero(_u4443)), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4443), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)), c_Groups_Ozero__class_Ozero(_u4443))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4444), c_Groups_Ozero__class_Ozero(_u4443))) )).
% 19.49/19.69 cnf(fact_le__divide__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4443) | ~class_Int_Onumber(_u4443) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4444), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4443), _u4445), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4443), c_Groups_Ozero__class_Ozero(_u4443)), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4445), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4443), _u4444), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4443), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)), c_Groups_Ozero__class_Ozero(_u4443))) )).
% 19.49/19.69 cnf(fact_le__divide__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4443) | ~class_Int_Onumber(_u4443) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4444), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4443), _u4445), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4443), c_Groups_Ozero__class_Ozero(_u4443)), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4445), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4443), _u4444), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4444), c_Groups_Ozero__class_Ozero(_u4443))) )).
% 19.49/19.69 cnf(fact_le__divide__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4443) | ~class_Int_Onumber(_u4443) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4444), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4443), _u4445), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4443), _u4444), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446))), _u4445)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4443), c_Groups_Ozero__class_Ozero(_u4443)), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446))) )).
% 19.49/19.69 cnf(fact_le__divide__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4443) | ~class_Int_Onumber(_u4443) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4444), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4443), _u4445), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4443), _u4444), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446))), _u4445)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4443), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)), c_Groups_Ozero__class_Ozero(_u4443))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4444), c_Groups_Ozero__class_Ozero(_u4443))) )).
% 19.49/19.69 cnf(fact_le__divide__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4443) | ~class_Int_Onumber(_u4443) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4444), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4443), _u4445), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4443), _u4444), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446))), _u4445)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4445), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4443), _u4444), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4443), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)), c_Groups_Ozero__class_Ozero(_u4443))) )).
% 19.49/19.69 cnf(fact_le__divide__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u4443) | ~class_Int_Onumber(_u4443) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4444), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4443), _u4445), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4443), _u4444), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446))), _u4445)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4445), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4443), _u4444), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4444), c_Groups_Ozero__class_Ozero(_u4443))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_pair__box_Osize_I2_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_pair__box_Osize_I2_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nitpick_Opair__box(_u4447, _u4448)), c_Nitpick_Opair__box_OPairBox(_u4447, _u4448, _u4449, _u4450)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_pair__box_Osimps_I2_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_pair__box_Osimps_I2_J-1, axiom, ( ( c_Nitpick_Opair__box_Opair__box__case(_u4451, _u4452, _u4453, _u4454, c_Nitpick_Opair__box_OPairBox(_u4451, _u4452, _u4455, _u4456)) = hAPP(hAPP(_u4454, _u4455), _u4456)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_pair__box_Orecs ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_pair__box_Orecs-1, axiom, ( ( c_Nitpick_Opair__box_Opair__box__rec(_u4457, _u4458, _u4459, _u4460, c_Nitpick_Opair__box_OPairBox(_u4457, _u4458, _u4461, _u4462)) = hAPP(hAPP(_u4460, _u4461), _u4462)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__ord__min ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__ord__min-1, axiom, ( ~class_Orderings_Oord(_u4463) | ( c_Orderings_Oord__class_Omin(_u4463) = c_Orderings_Oord_Omin(_u4463, c_Orderings_Oord__class_Oless__eq(_u4463))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Min_Oremove ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Min_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u4464) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4464), _u4465)) | ~hBOOL(hAPP(hAPP(c_member(_u4464), _u4466), _u4465)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4464, tc_HOL_Obool)), _u4465), hAPP(hAPP(c_Set_Oinsert(_u4464), _u4466), c_Orderings_Obot__class_Obot(tc_fun(_u4464, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4464, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u4464, _u4465) = _u4466) )).
% 19.49/19.69 cnf(fact_Min_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u4464) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4464), _u4465)) | ~hBOOL(hAPP(hAPP(c_member(_u4464), _u4466), _u4465)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4464, tc_HOL_Obool)), _u4465), hAPP(hAPP(c_Set_Oinsert(_u4464), _u4466), c_Orderings_Obot__class_Obot(tc_fun(_u4464, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4464, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u4464, _u4465) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4464), _u4466), c_Big__Operators_Olinorder__class_OMin(_u4464, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4464, tc_HOL_Obool)), _u4465), hAPP(hAPP(c_Set_Oinsert(_u4464), _u4466), c_Orderings_Obot__class_Obot(tc_fun(_u4464, tc_HOL_Obool))))))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_OInf__fin_Oremove ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_OInf__fin_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u4467) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4467), _u4468)) | ~hBOOL(hAPP(hAPP(c_member(_u4467), _u4469), _u4468)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4467, tc_HOL_Obool)), _u4468), hAPP(hAPP(c_Set_Oinsert(_u4467), _u4469), c_Orderings_Obot__class_Obot(tc_fun(_u4467, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4467, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u4467, c_Orderings_Oord__class_Omin(_u4467), _u4468) = _u4469) )).
% 19.49/19.69 cnf(fact_min__max_OInf__fin_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u4467) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4467), _u4468)) | ~hBOOL(hAPP(hAPP(c_member(_u4467), _u4469), _u4468)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4467, tc_HOL_Obool)), _u4468), hAPP(hAPP(c_Set_Oinsert(_u4467), _u4469), c_Orderings_Obot__class_Obot(tc_fun(_u4467, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4467, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u4467, c_Orderings_Oord__class_Omin(_u4467), _u4468) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4467), _u4469), c_Big__Operators_Olattice_OInf__fin(_u4467, c_Orderings_Oord__class_Omin(_u4467), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4467, tc_HOL_Obool)), _u4468), hAPP(hAPP(c_Set_Oinsert(_u4467), _u4469), c_Orderings_Obot__class_Obot(tc_fun(_u4467, tc_HOL_Obool))))))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Min_Oeq__fold_H ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Min_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u4470) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4470), _u4471)) | hBOOL(hAPP(hAPP(c_member(_u4470), _u4472), _u4471)) | ( c_Big__Operators_Olinorder__class_OMin(_u4470, hAPP(hAPP(c_Set_Oinsert(_u4470), _u4472), _u4471)) = hAPP(hAPP(c_Finite__Set_Ofold(_u4470, _u4470, c_Orderings_Oord__class_Omin(_u4470)), _u4472), _u4471)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_inf__nat__def ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_inf__nat__def-1, axiom, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_less__eq__number__of__int__code ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_less__eq__number__of__int__code-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4475)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4477))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4475), _u4477)) )).
% 19.49/19.69 cnf(fact_less__eq__number__of__int__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4476), _u4478)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4476)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4478))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_times__numeral__code_I5_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_times__numeral__code_I5_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4479)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4480)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4479), _u4480))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_less__number__of__int__code ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_less__number__of__int__code-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4483)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4485))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4483), _u4485)) )).
% 19.49/19.69 cnf(fact_less__number__of__int__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4484), _u4486)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4484)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4486))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_plus__numeral__code_I9_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_plus__numeral__code_I9_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4487)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4488)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4487), _u4488))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_le__imp__0__less ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_le__imp__0__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4489)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u4489))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_int__one__le__iff__zero__less ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_int__one__le__iff__zero__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u4491)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4491)) )).
% 19.49/19.69 cnf(fact_int__one__le__iff__zero__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4492)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u4492)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_pos__zmult__eq__1__iff ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_pos__zmult__eq__1__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4493)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4493), _u4494) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4493 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 19.49/19.69 cnf(fact_pos__zmult__eq__1__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4493)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4493), _u4494) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4494 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 19.49/19.69 cnf(fact_pos__zmult__eq__1__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4493)) | ( _u4493 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4494 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4493), _u4494) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zmult__zless__mono2 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zmult__zless__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4495), _u4496)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4497)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4497), _u4495)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4497), _u4496))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_less__bin__lemma ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_less__bin__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4500), _u4502)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4500), _u4502)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.49/19.69 cnf(fact_less__bin__lemma-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4501), _u4503)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4501), _u4503)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_int__0__less__1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_int__0__less__1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zadd__0__right ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zadd__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4504), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u4504) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zadd__0 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zadd__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4505) = _u4505) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_odd__nonzero ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_odd__nonzero-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u4506)), _u4506) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_odd__less__0 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_odd__less__0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u4508)), _u4508)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4508), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.49/19.69 cnf(fact_odd__less__0-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4509), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u4509)), _u4509)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zless__add1__eq ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zless__add1__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4512), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4514), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4512), _u4514)) | ( _u4512 = _u4514) )).
% 19.49/19.69 cnf(fact_zless__add1__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4513), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4515), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4513), _u4515)) )).
% 19.49/19.69 cnf(fact_zless__add1__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4513), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4515), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ( _u4513 != _u4515) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zadd__strict__right__mono ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zadd__strict__right__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4516), _u4517)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4516), _u4518)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4517), _u4518))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zadd__commute ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zadd__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4519), _u4520) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4520), _u4519)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zadd__left__commute ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zadd__left__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4521), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4522), _u4523)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4522), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4521), _u4523))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zadd__assoc ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zadd__assoc-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4524), _u4525)), _u4526) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4524), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4525), _u4526))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zadd__zmult__distrib ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zadd__zmult__distrib-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4527), _u4528)), _u4529) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4527), _u4529)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4528), _u4529))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zadd__zmult__distrib2 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zadd__zmult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4530), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4531), _u4532)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4530), _u4531)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4530), _u4532))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zless__linear ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zless__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4533), _u4534)) | ( _u4533 = _u4534) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4534), _u4533)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zdiff__zmult__distrib ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zdiff__zmult__distrib-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4535), _u4536)), _u4537) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4535), _u4537)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4536), _u4537))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zdiff__zmult__distrib2 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zdiff__zmult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4538), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4539), _u4540)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4538), _u4539)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4538), _u4540))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zmult__commute ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zmult__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4541), _u4542) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4542), _u4541)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zmult__assoc ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zmult__assoc-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4543), _u4544)), _u4545) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4543), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4544), _u4545))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zmult__1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zmult__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u4546) = _u4546) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zmult__1__right ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zmult__1__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4547), c_Groups_Oone__class_Oone(tc_Int_Oint)) = _u4547) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zless__le ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zless__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4550), _u4552)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4550), _u4552)) )).
% 19.49/19.69 cnf(fact_zless__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4550), _u4552)) | ( _u4550 != _u4552) )).
% 19.49/19.69 cnf(fact_zless__le-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4551), _u4553)) | ( _u4551 = _u4553) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4551), _u4553)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zle__refl ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zle__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4554), _u4554)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zle__linear ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zle__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4555), _u4556)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4556), _u4555)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zle__trans ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zle__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4557), _u4558)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4558), _u4559)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4557), _u4559)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zle__antisym ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zle__antisym-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4560), _u4561)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4561), _u4560)) | ( _u4560 = _u4561) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zle__diff1__eq ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zle__diff1__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4564), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4566), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4564), _u4566)) )).
% 19.49/19.69 cnf(fact_zle__diff1__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4565), _u4567)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4565), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4567), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zadd__zless__mono ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zadd__zless__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4568), _u4569)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4570), _u4571)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4568), _u4570)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4569), _u4571))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zadd__left__mono ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zadd__left__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4572), _u4573)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4574), _u4572)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4574), _u4573))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zle__add1__eq__le ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zle__add1__eq__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4577), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4579), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4577), _u4579)) )).
% 19.49/19.69 cnf(fact_zle__add1__eq__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4578), _u4580)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4578), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4580), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_add1__zle__eq ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_add1__zle__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4583), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u4585)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4583), _u4585)) )).
% 19.49/19.69 cnf(fact_add1__zle__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4584), _u4586)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4584), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u4586)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zless__imp__add1__zle ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zless__imp__add1__zle-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4587), _u4588)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4587), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u4588)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Min_Osingleton ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Min_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u4589) | ( c_Big__Operators_Olinorder__class_OMin(_u4589, hAPP(hAPP(c_Set_Oinsert(_u4589), _u4590), c_Orderings_Obot__class_Obot(tc_fun(_u4589, tc_HOL_Obool)))) = _u4590) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_OInf__fin_Oin__idem ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_OInf__fin_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u4591) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4591), _u4592)) | ~hBOOL(hAPP(hAPP(c_member(_u4591), _u4593), _u4592)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4591), _u4593), c_Big__Operators_Olattice_OInf__fin(_u4591, c_Orderings_Oord__class_Omin(_u4591), _u4592)) = c_Big__Operators_Olattice_OInf__fin(_u4591, c_Orderings_Oord__class_Omin(_u4591), _u4592)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_OInf__fin_Osingleton ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_OInf__fin_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u4594) | ( c_Big__Operators_Olattice_OInf__fin(_u4594, c_Orderings_Oord__class_Omin(_u4594), hAPP(hAPP(c_Set_Oinsert(_u4594), _u4595), c_Orderings_Obot__class_Obot(tc_fun(_u4594, tc_HOL_Obool)))) = _u4595) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Min__le ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Min__le-1, axiom, ( ~class_Orderings_Olinorder(_u4596) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4596), _u4597)) | ~hBOOL(hAPP(hAPP(c_member(_u4596), _u4598), _u4597)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4596), c_Big__Operators_Olinorder__class_OMin(_u4596, _u4597)), _u4598)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Min__in ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Min__in-1, axiom, ( ~class_Orderings_Olinorder(_u4599) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4599), _u4600)) | ( _u4600 = c_Orderings_Obot__class_Obot(tc_fun(_u4599, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u4599), c_Big__Operators_Olinorder__class_OMin(_u4599, _u4600)), _u4600)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Min_Oin__idem ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Min_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u4601) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4601), _u4602)) | ~hBOOL(hAPP(hAPP(c_member(_u4601), _u4603), _u4602)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4601), _u4603), c_Big__Operators_Olinorder__class_OMin(_u4601, _u4602)) = c_Big__Operators_Olinorder__class_OMin(_u4601, _u4602)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_OInf__fin_OF__eq ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_OInf__fin_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u4604) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4604), _u4605)) | ( c_Big__Operators_Olattice_OInf__fin(_u4604, c_Orderings_Oord__class_Omin(_u4604), _u4605) = hAPP(c_Finite__Set_Ofold1(_u4604, c_Orderings_Oord__class_Omin(_u4604)), _u4605)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Min_OF__eq ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Min_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u4606) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4606), _u4607)) | ( c_Big__Operators_Olinorder__class_OMin(_u4606, _u4607) = hAPP(c_Finite__Set_Ofold1(_u4606, c_Orderings_Oord__class_Omin(_u4606)), _u4607)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_OInf__fin_Oinsert__idem ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_OInf__fin_Oinsert__idem-1, axiom, ( ~class_Orderings_Olinorder(_u4608) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4608), _u4609)) | ( _u4609 = c_Orderings_Obot__class_Obot(tc_fun(_u4608, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u4608, c_Orderings_Oord__class_Omin(_u4608), hAPP(hAPP(c_Set_Oinsert(_u4608), _u4610), _u4609)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4608), _u4610), c_Big__Operators_Olattice_OInf__fin(_u4608, c_Orderings_Oord__class_Omin(_u4608), _u4609))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_OInf__fin_Osubset__idem ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_OInf__fin_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u4611) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4611), _u4612)) | ( _u4613 = c_Orderings_Obot__class_Obot(tc_fun(_u4611, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4611, tc_HOL_Obool)), _u4613), _u4612)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4611), c_Big__Operators_Olattice_OInf__fin(_u4611, c_Orderings_Oord__class_Omin(_u4611), _u4613)), c_Big__Operators_Olattice_OInf__fin(_u4611, c_Orderings_Oord__class_Omin(_u4611), _u4612)) = c_Big__Operators_Olattice_OInf__fin(_u4611, c_Orderings_Oord__class_Omin(_u4611), _u4612)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_OInf__fin_Ounion__idem ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_OInf__fin_Ounion__idem-1, axiom, ( ~class_Orderings_Olinorder(_u4614) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4614), _u4615)) | ( _u4615 = c_Orderings_Obot__class_Obot(tc_fun(_u4614, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4614), _u4616)) | ( _u4616 = c_Orderings_Obot__class_Obot(tc_fun(_u4614, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u4614, c_Orderings_Oord__class_Omin(_u4614), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4614, tc_HOL_Obool)), _u4615), _u4616)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4614), c_Big__Operators_Olattice_OInf__fin(_u4614, c_Orderings_Oord__class_Omin(_u4614), _u4615)), c_Big__Operators_Olattice_OInf__fin(_u4614, c_Orderings_Oord__class_Omin(_u4614), _u4616))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Min__antimono ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Min__antimono-1, axiom, ( ~class_Orderings_Olinorder(_u4617) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4617, tc_HOL_Obool)), _u4618), _u4619)) | ( _u4618 = c_Orderings_Obot__class_Obot(tc_fun(_u4617, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4617), _u4619)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4617), c_Big__Operators_Olinorder__class_OMin(_u4617, _u4619)), c_Big__Operators_Olinorder__class_OMin(_u4617, _u4618))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_OInf__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_OInf__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u4620) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4620), _u4621)) | ( c_Big__Operators_Olattice_OInf__fin(_u4620, c_Orderings_Oord__class_Omin(_u4620), hAPP(hAPP(c_Set_Oinsert(_u4620), _u4622), _u4621)) = hAPP(hAPP(c_Finite__Set_Ofold(_u4620, _u4620, c_Orderings_Oord__class_Omin(_u4620)), _u4622), _u4621)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Min__insert ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Min__insert-1, axiom, ( ~class_Orderings_Olinorder(_u4623) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4623), _u4624)) | ( _u4624 = c_Orderings_Obot__class_Obot(tc_fun(_u4623, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u4623, hAPP(hAPP(c_Set_Oinsert(_u4623), _u4625), _u4624)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4623), _u4625), c_Big__Operators_Olinorder__class_OMin(_u4623, _u4624))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Min_Osubset__idem ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Min_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u4626) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4626), _u4627)) | ( _u4628 = c_Orderings_Obot__class_Obot(tc_fun(_u4626, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4626, tc_HOL_Obool)), _u4628), _u4627)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4626), c_Big__Operators_Olinorder__class_OMin(_u4626, _u4628)), c_Big__Operators_Olinorder__class_OMin(_u4626, _u4627)) = c_Big__Operators_Olinorder__class_OMin(_u4626, _u4627)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Min__Un ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Min__Un-1, axiom, ( ~class_Orderings_Olinorder(_u4629) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4629), _u4630)) | ( _u4630 = c_Orderings_Obot__class_Obot(tc_fun(_u4629, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4629), _u4631)) | ( _u4631 = c_Orderings_Obot__class_Obot(tc_fun(_u4629, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u4629, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4629, tc_HOL_Obool)), _u4630), _u4631)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4629), c_Big__Operators_Olinorder__class_OMin(_u4629, _u4630)), c_Big__Operators_Olinorder__class_OMin(_u4629, _u4631))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Min_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Min_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u4632) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4632), _u4633)) | ( c_Big__Operators_Olinorder__class_OMin(_u4632, hAPP(hAPP(c_Set_Oinsert(_u4632), _u4634), _u4633)) = hAPP(hAPP(c_Finite__Set_Ofold(_u4632, _u4632, c_Orderings_Oord__class_Omin(_u4632)), _u4634), _u4633)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_OInf__fin_Oinsert ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_OInf__fin_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u4635) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4635), _u4636)) | hBOOL(hAPP(hAPP(c_member(_u4635), _u4637), _u4636)) | ( _u4636 = c_Orderings_Obot__class_Obot(tc_fun(_u4635, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u4635, c_Orderings_Oord__class_Omin(_u4635), hAPP(hAPP(c_Set_Oinsert(_u4635), _u4637), _u4636)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4635), _u4637), c_Big__Operators_Olattice_OInf__fin(_u4635, c_Orderings_Oord__class_Omin(_u4635), _u4636))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_OInf__fin_Oinsert__remove ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_OInf__fin_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u4638) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4638), _u4639)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4638, tc_HOL_Obool)), _u4639), hAPP(hAPP(c_Set_Oinsert(_u4638), _u4640), c_Orderings_Obot__class_Obot(tc_fun(_u4638, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4638, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u4638, c_Orderings_Oord__class_Omin(_u4638), hAPP(hAPP(c_Set_Oinsert(_u4638), _u4640), _u4639)) = _u4640) )).
% 19.49/19.69 cnf(fact_min__max_OInf__fin_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u4638) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4638), _u4639)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4638, tc_HOL_Obool)), _u4639), hAPP(hAPP(c_Set_Oinsert(_u4638), _u4640), c_Orderings_Obot__class_Obot(tc_fun(_u4638, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4638, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u4638, c_Orderings_Oord__class_Omin(_u4638), hAPP(hAPP(c_Set_Oinsert(_u4638), _u4640), _u4639)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4638), _u4640), c_Big__Operators_Olattice_OInf__fin(_u4638, c_Orderings_Oord__class_Omin(_u4638), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4638, tc_HOL_Obool)), _u4639), hAPP(hAPP(c_Set_Oinsert(_u4638), _u4640), c_Orderings_Obot__class_Obot(tc_fun(_u4638, tc_HOL_Obool))))))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_OInf__fin_Ounion__inter ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_OInf__fin_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u4641) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4641), _u4642)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4641), _u4643)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4641, tc_HOL_Obool)), _u4642), _u4643) = c_Orderings_Obot__class_Obot(tc_fun(_u4641, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4641), c_Big__Operators_Olattice_OInf__fin(_u4641, c_Orderings_Oord__class_Omin(_u4641), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4641, tc_HOL_Obool)), _u4642), _u4643))), c_Big__Operators_Olattice_OInf__fin(_u4641, c_Orderings_Oord__class_Omin(_u4641), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4641, tc_HOL_Obool)), _u4642), _u4643))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4641), c_Big__Operators_Olattice_OInf__fin(_u4641, c_Orderings_Oord__class_Omin(_u4641), _u4642)), c_Big__Operators_Olattice_OInf__fin(_u4641, c_Orderings_Oord__class_Omin(_u4641), _u4643))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_OInf__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_OInf__fin_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u4644) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4644), _u4645)) | ( _u4645 = c_Orderings_Obot__class_Obot(tc_fun(_u4644, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4644), _u4646)) | ( _u4646 = c_Orderings_Obot__class_Obot(tc_fun(_u4644, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4644, tc_HOL_Obool)), _u4645), _u4646) != c_Orderings_Obot__class_Obot(tc_fun(_u4644, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u4644, c_Orderings_Oord__class_Omin(_u4644), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4644, tc_HOL_Obool)), _u4645), _u4646)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4644), c_Big__Operators_Olattice_OInf__fin(_u4644, c_Orderings_Oord__class_Omin(_u4644), _u4645)), c_Big__Operators_Olattice_OInf__fin(_u4644, c_Orderings_Oord__class_Omin(_u4644), _u4646))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_OInf__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_OInf__fin_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u4647) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4647), _u4648)) | hBOOL(hAPP(hAPP(c_member(_u4647), _u4649), _u4648)) | ( c_Big__Operators_Olattice_OInf__fin(_u4647, c_Orderings_Oord__class_Omin(_u4647), hAPP(hAPP(c_Set_Oinsert(_u4647), _u4649), _u4648)) = hAPP(hAPP(c_Finite__Set_Ofold(_u4647, _u4647, c_Orderings_Oord__class_Omin(_u4647)), _u4649), _u4648)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Min_Oinsert ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Min_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u4650) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4650), _u4651)) | hBOOL(hAPP(hAPP(c_member(_u4650), _u4652), _u4651)) | ( _u4651 = c_Orderings_Obot__class_Obot(tc_fun(_u4650, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u4650, hAPP(hAPP(c_Set_Oinsert(_u4650), _u4652), _u4651)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4650), _u4652), c_Big__Operators_Olinorder__class_OMin(_u4650, _u4651))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Min_Oinsert__remove ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Min_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u4653) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4653), _u4654)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4653, tc_HOL_Obool)), _u4654), hAPP(hAPP(c_Set_Oinsert(_u4653), _u4655), c_Orderings_Obot__class_Obot(tc_fun(_u4653, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4653, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u4653, hAPP(hAPP(c_Set_Oinsert(_u4653), _u4655), _u4654)) = _u4655) )).
% 19.49/19.69 cnf(fact_Min_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u4653) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4653), _u4654)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4653, tc_HOL_Obool)), _u4654), hAPP(hAPP(c_Set_Oinsert(_u4653), _u4655), c_Orderings_Obot__class_Obot(tc_fun(_u4653, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4653, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u4653, hAPP(hAPP(c_Set_Oinsert(_u4653), _u4655), _u4654)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4653), _u4655), c_Big__Operators_Olinorder__class_OMin(_u4653, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4653, tc_HOL_Obool)), _u4654), hAPP(hAPP(c_Set_Oinsert(_u4653), _u4655), c_Orderings_Obot__class_Obot(tc_fun(_u4653, tc_HOL_Obool))))))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Min_Ounion__inter ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Min_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u4656) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4656), _u4657)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4656), _u4658)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4656, tc_HOL_Obool)), _u4657), _u4658) = c_Orderings_Obot__class_Obot(tc_fun(_u4656, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4656), c_Big__Operators_Olinorder__class_OMin(_u4656, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4656, tc_HOL_Obool)), _u4657), _u4658))), c_Big__Operators_Olinorder__class_OMin(_u4656, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4656, tc_HOL_Obool)), _u4657), _u4658))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4656), c_Big__Operators_Olinorder__class_OMin(_u4656, _u4657)), c_Big__Operators_Olinorder__class_OMin(_u4656, _u4658))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Min_Ounion__disjoint ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Min_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u4659) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4659), _u4660)) | ( _u4660 = c_Orderings_Obot__class_Obot(tc_fun(_u4659, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4659), _u4661)) | ( _u4661 = c_Orderings_Obot__class_Obot(tc_fun(_u4659, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4659, tc_HOL_Obool)), _u4660), _u4661) != c_Orderings_Obot__class_Obot(tc_fun(_u4659, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u4659, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4659, tc_HOL_Obool)), _u4660), _u4661)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4659), c_Big__Operators_Olinorder__class_OMin(_u4659, _u4660)), c_Big__Operators_Olinorder__class_OMin(_u4659, _u4661))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_self__quotient__aux1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_self__quotient__aux1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4662)) | ( _u4662 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4663), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4662), _u4664))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4663), _u4662)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u4664)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_self__quotient__aux2 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_self__quotient__aux2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4665)) | ( _u4665 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4666), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4665), _u4667))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4666)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4667), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_q__pos__lemma ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_q__pos__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4668), _u4669)), _u4670))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4670), _u4668)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4668)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4669)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_q__neg__lemma ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_q__neg__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4671), _u4672)), _u4673)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4673)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4671)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4672), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_unique__quotient__lemma ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_unique__quotient__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4674), _u4675)), _u4676)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4674), _u4677)), _u4678))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4676)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4676), _u4674)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4678), _u4674)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4675), _u4677)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zdiv__mono2__lemma ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zdiv__mono2__lemma-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4679), _u4680)), _u4681) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4682), _u4683)), _u4684)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4682), _u4683)), _u4684))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4684), _u4682)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4681)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4682)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4682), _u4679)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4680), _u4683)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_unique__quotient__lemma__neg ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_unique__quotient__lemma__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4685), _u4686)), _u4687)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4685), _u4688)), _u4689))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4689), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4685), _u4689)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4685), _u4687)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4688), _u4686)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_number__of__is__id ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_number__of__is__id-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4690) = _u4690) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_int__0__neq__1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_int__0__neq__1-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zdiv__mono2__neg__lemma ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zdiv__mono2__neg__lemma-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4691), _u4692)), _u4693) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4694), _u4695)), _u4696)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4694), _u4695)), _u4696)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4693), _u4691)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4696)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4694)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4694), _u4691)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4695), _u4692)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4697)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4698)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4697), _u4698))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4699)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4700)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4699), _u4700))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_OInf__fin_Oclosed ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_OInf__fin_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u4703) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4703), _u4704)) | ( _u4704 = c_Orderings_Obot__class_Obot(tc_fun(_u4703, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u4703), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4703), skolem95(_u4704, _u4703)), skolem96(_u4704, _u4703))), hAPP(hAPP(c_Set_Oinsert(_u4703), skolem95(_u4704, _u4703)), hAPP(hAPP(c_Set_Oinsert(_u4703), skolem96(_u4704, _u4703)), c_Orderings_Obot__class_Obot(tc_fun(_u4703, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u4703), c_Big__Operators_Olattice_OInf__fin(_u4703, c_Orderings_Oord__class_Omin(_u4703), _u4704)), _u4704)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Min_Oclosed ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Min_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u4707) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4707), _u4708)) | ( _u4708 = c_Orderings_Obot__class_Obot(tc_fun(_u4707, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u4707), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4707), skolem97(_u4708, _u4707)), skolem98(_u4708, _u4707))), hAPP(hAPP(c_Set_Oinsert(_u4707), skolem97(_u4708, _u4707)), hAPP(hAPP(c_Set_Oinsert(_u4707), skolem98(_u4708, _u4707)), c_Orderings_Obot__class_Obot(tc_fun(_u4707, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u4707), c_Big__Operators_Olinorder__class_OMin(_u4707, _u4708)), _u4708)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_of__nat__number__of__lemma ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_of__nat__number__of__lemma-1, axiom, ( ~class_Int_Onumber__ring(_u4709) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4710))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4709), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4710)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4709), _u4710)) )).
% 19.49/19.69 cnf(fact_of__nat__number__of__lemma-2, axiom, ( ~class_Int_Onumber__ring(_u4709) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4710))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4709), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4710)) = c_Groups_Ozero__class_Ozero(_u4709)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_of__nat__eq__iff ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_of__nat__eq__iff-1, axiom, ( ~class_Nat_Osemiring__char__0(_u4711) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4711), _u4712) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4711), _u4713)) | ( _u4712 = _u4713) )).
% 19.49/19.69 cnf(fact_of__nat__eq__iff-2, axiom, ( ~class_Nat_Osemiring__char__0(_u4711) | ( _u4712 != _u4713) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4711), _u4712) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4711), _u4713)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_transfer__int__nat__numerals_I1_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_transfer__int__nat__numerals_I1_J-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4714))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_transfer__int__nat__quantifiers_I2_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_transfer__int__nat__quantifiers_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4715)) | ~hBOOL(hAPP(_u4720, _u4715)) | hBOOL(hAPP(_u4720, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem99(_u4720)))) )).
% 19.49/19.69 cnf(fact_transfer__int__nat__quantifiers_I2_J-2, axiom, ( ~hBOOL(hAPP(_u4721, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem100(_u4721))) )).
% 19.49/19.69 cnf(fact_transfer__int__nat__quantifiers_I2_J-3, axiom, ( ~hBOOL(hAPP(_u4721, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4717))) | hBOOL(hAPP(_u4721, skolem100(_u4721))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_transfer__int__nat__quantifiers_I1_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_transfer__int__nat__quantifiers_I1_J-1, axiom, ( hBOOL(hAPP(_u4727, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4723))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem101(_u4727))) )).
% 19.49/19.69 cnf(fact_transfer__int__nat__quantifiers_I1_J-2, axiom, ( hBOOL(hAPP(_u4727, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4723))) | ~hBOOL(hAPP(_u4727, skolem101(_u4727))) )).
% 19.49/19.69 cnf(fact_transfer__int__nat__quantifiers_I1_J-3, axiom, ( ~hBOOL(hAPP(_u4728, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem102(_u4728)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4725)) | hBOOL(hAPP(_u4728, _u4725)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_transfer__int__nat__relations_I2_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_transfer__int__nat__relations_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4731)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4733))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4731), _u4733)) )).
% 19.49/19.69 cnf(fact_transfer__int__nat__relations_I2_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4732), _u4734)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4732)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4734))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_transfer__int__nat__relations_I3_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_transfer__int__nat__relations_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4737)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4739))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4737), _u4739)) )).
% 19.49/19.69 cnf(fact_transfer__int__nat__relations_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4738), _u4740)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4738)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4740))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4741)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4742)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4741), _u4742))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4743)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4744)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4743), _u4744))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_transfer__int__nat__numerals_I2_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_transfer__int__nat__numerals_I2_J-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_int__0 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_int__0-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_int__eq__0__conv ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_int__eq__0__conv-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4746) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u4746 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.69 cnf(fact_int__eq__0__conv-2, axiom, ( ( _u4747 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4747) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zero__zle__int ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zero__zle__int-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4748))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_int__less__0__conv ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_int__less__0__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4749)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zless__int ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zless__int-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4752)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4754))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4752), _u4754)) )).
% 19.49/19.69 cnf(fact_zless__int-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4753), _u4755)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4753)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4755))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zle__int ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zle__int-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4758)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4760))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4758), _u4760)) )).
% 19.49/19.69 cnf(fact_zle__int-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4759), _u4761)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4759)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4761))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zadd__int__left ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zadd__int__left-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4762)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4763)), _u4764)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4762), _u4763))), _u4764)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zadd__int ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zadd__int-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4765)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4766)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4765), _u4766))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zle__iff__zadd ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zle__iff__zadd-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4771), _u4773)) | ( _u4773 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4771), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem103(_u4773, _u4771)))) )).
% 19.49/19.69 cnf(fact_zle__iff__zadd-2, axiom, ( ( _u4774 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4772), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4768))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4772), _u4774)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zero__le__imp__of__nat ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zero__le__imp__of__nat-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4775) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4775), c_Groups_Ozero__class_Ozero(_u4775)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4775), _u4776))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_of__nat__0__le__iff ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_of__nat__0__le__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4777) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4777), c_Groups_Ozero__class_Ozero(_u4777)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4777), _u4778))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_of__nat__less__0__iff ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_of__nat__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4779) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4779), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4779), _u4780)), c_Groups_Ozero__class_Ozero(_u4779))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zmult__int ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zmult__int-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4781)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4782)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4781), _u4782))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_int__mult ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_int__mult-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4783), _u4784)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4783)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4784))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_of__nat__0 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_of__nat__0-1, axiom, ( ~class_Rings_Osemiring__1(_u4785) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4785), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(_u4785)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_of__nat__less__imp__less ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_of__nat__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4786) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4786), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4786), _u4787)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4786), _u4788))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4787), _u4788)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_less__imp__of__nat__less ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_less__imp__of__nat__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4789) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4790), _u4791)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4789), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4789), _u4790)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4789), _u4791))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_of__nat__less__iff ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_of__nat__less__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4792) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4792), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4792), _u4793)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4792), _u4794))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4793), _u4794)) )).
% 19.49/19.69 cnf(fact_of__nat__less__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u4792) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4793), _u4794)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4792), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4792), _u4793)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4792), _u4794))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_int__1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_int__1-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_of__nat__le__iff ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_of__nat__le__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4795) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4795), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4795), _u4796)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4795), _u4797))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4796), _u4797)) )).
% 19.49/19.69 cnf(fact_of__nat__le__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u4795) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4796), _u4797)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4795), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4795), _u4796)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4795), _u4797))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_of__nat__add ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_of__nat__add-1, axiom, ( ~class_Rings_Osemiring__1(_u4798) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4798), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4799), _u4800)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4798), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4798), _u4799)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4798), _u4800))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_of__nat__mult ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_of__nat__mult-1, axiom, ( ~class_Rings_Osemiring__1(_u4801) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4801), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4802), _u4803)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4801), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4801), _u4802)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4801), _u4803))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_of__nat__1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_of__nat__1-1, axiom, ( ~class_Rings_Osemiring__1(_u4804) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4804), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u4804)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Ints__of__nat ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Ints__of__nat-1, axiom, ( ~class_Rings_Oring__1(_u4805) | hBOOL(hAPP(hAPP(c_member(_u4805), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4805), _u4806)), c_Int_Oring__1__class_OInts(_u4805))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_int__le__0__conv ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_int__le__0__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4808)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u4808 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.69 cnf(fact_int__le__0__conv-2, axiom, ( ( _u4809 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4809)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_int__Suc0__eq__1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_int__Suc0__eq__1-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zless__iff__Suc__zadd ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zless__iff__Suc__zadd-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4814), _u4816)) | ( _u4816 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4814), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem104(_u4816, _u4814))))) )).
% 19.49/19.69 cnf(fact_zless__iff__Suc__zadd-2, axiom, ( ( _u4817 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4815), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u4811)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4815), _u4817)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_int__Suc ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_int__Suc-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u4818)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4818))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zdiff__int ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zdiff__int-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4819), _u4820)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4820)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4819)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4820), _u4819))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_of__nat__Suc ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_of__nat__Suc-1, axiom, ( ~class_Rings_Osemiring__1(_u4821) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4821), hAPP(c_Nat_OSuc, _u4822)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4821), c_Groups_Oone__class_Oone(_u4821)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4821), _u4822))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_of__nat__diff ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_of__nat__diff-1, axiom, ( ~class_Rings_Oring__1(_u4823) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4824), _u4825)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4823), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4825), _u4824)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4823), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4823), _u4825)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4823), _u4824))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zero__less__int__conv ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zero__less__int__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4827))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4827)) )).
% 19.49/19.69 cnf(fact_zero__less__int__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4828)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4828))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zmult__zless__mono2__lemma ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zmult__zless__mono2__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4829), _u4830)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4831)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4831)), _u4829)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4831)), _u4830))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_of__nat__0__less__iff ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_of__nat__0__less__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4832) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4832), c_Groups_Ozero__class_Ozero(_u4832)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4832), _u4833))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4833)) )).
% 19.49/19.69 cnf(fact_of__nat__0__less__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u4832) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4833)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4832), c_Groups_Ozero__class_Ozero(_u4832)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4832), _u4833))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zdiff__int__split ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zdiff__int__split-1, axiom, ( ~hBOOL(hAPP(_u4837, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4839), _u4841)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4841), _u4839)) | hBOOL(hAPP(_u4837, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4839)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4841)))) )).
% 19.49/19.69 cnf(fact_zdiff__int__split-2, axiom, ( ~hBOOL(hAPP(_u4837, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4839), _u4841)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4839), _u4841)) | hBOOL(hAPP(_u4837, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.49/19.69 cnf(fact_zdiff__int__split-3, axiom, ( hBOOL(hAPP(_u4838, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4840), _u4842)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4842), _u4840)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4840), _u4842)) )).
% 19.49/19.69 cnf(fact_zdiff__int__split-4, axiom, ( hBOOL(hAPP(_u4838, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4840), _u4842)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4842), _u4840)) | ~hBOOL(hAPP(_u4838, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.49/19.69 cnf(fact_zdiff__int__split-5, axiom, ( hBOOL(hAPP(_u4838, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4840), _u4842)))) | ~hBOOL(hAPP(_u4838, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4840)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4842)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4840), _u4842)) )).
% 19.49/19.69 cnf(fact_zdiff__int__split-6, axiom, ( hBOOL(hAPP(_u4838, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4840), _u4842)))) | ~hBOOL(hAPP(_u4838, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4840)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4842)))) | ~hBOOL(hAPP(_u4838, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_setsum__bounded ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_setsum__bounded-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u4844) | ~class_Rings_Osemiring__1(_u4844) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4844), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4845, _u4844), _u4847), _u4846)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4844), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4844), hAPP(c_Finite__Set_Ocard(_u4845), _u4846))), _u4848))) | hBOOL(hAPP(hAPP(c_member(_u4845), skolem105(_u4848, _u4847, _u4846, _u4845, _u4844)), _u4846)) )).
% 19.49/19.69 cnf(fact_setsum__bounded-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u4844) | ~class_Rings_Osemiring__1(_u4844) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4844), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4845, _u4844), _u4847), _u4846)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4844), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4844), hAPP(c_Finite__Set_Ocard(_u4845), _u4846))), _u4848))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4844), hAPP(_u4847, skolem105(_u4848, _u4847, _u4846, _u4845, _u4844))), _u4848)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_tsub__def ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_tsub__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4851), _u4853)) | ( c_Nat__Transfer_Otsub(_u4853, _u4851) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4853), _u4851)) )).
% 19.49/19.69 cnf(fact_tsub__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4852), _u4854)) | ( c_Nat__Transfer_Otsub(_u4854, _u4852) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_of__nat__number__of__eq ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_of__nat__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u4855) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4856))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4855), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4856)) = c_Groups_Ozero__class_Ozero(_u4855)) )).
% 19.49/19.69 cnf(fact_of__nat__number__of__eq-2, axiom, ( ~class_Int_Onumber__ring(_u4855) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4856))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4855), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4856)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4855), _u4856)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_nat__number__of__mult__left ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_nat__number__of__mult__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4860), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4860)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4862)), _u4864)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.69 cnf(fact_nat__number__of__mult__left-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4861), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4861)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4863)), _u4865)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4861), _u4863))), _u4865)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_mult__nat__number__of ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_mult__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4868), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4868)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4870)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.69 cnf(fact_mult__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4869), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4869)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4871)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4869), _u4871))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_min__max_Oinf__le__fold__inf ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_min__max_Oinf__le__fold__inf-1, axiom, ( ~class_Orderings_Olinorder(_u4873) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4873), _u4874)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4873), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4873), _u4875), _u4876)), hAPP(hAPP(c_Finite__Set_Ofold(_u4873, _u4873, c_Orderings_Oord__class_Omin(_u4873)), _u4876), _u4874))) | hBOOL(hAPP(hAPP(c_member(_u4873), skolem106(_u4876, _u4875, _u4874, _u4873)), _u4874)) )).
% 19.49/19.69 cnf(fact_min__max_Oinf__le__fold__inf-2, axiom, ( ~class_Orderings_Olinorder(_u4873) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4873), _u4874)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4873), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4873), _u4875), _u4876)), hAPP(hAPP(c_Finite__Set_Ofold(_u4873, _u4873, c_Orderings_Oord__class_Omin(_u4873)), _u4876), _u4874))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4873), _u4875), skolem106(_u4876, _u4875, _u4874, _u4873))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_int__int__eq ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_int__int__eq-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4879) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4881)) | ( _u4879 = _u4881) )).
% 19.49/19.69 cnf(fact_int__int__eq-2, axiom, ( ( _u4880 != _u4882) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4880) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4882)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_transfer__int__nat__relations_I1_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_transfer__int__nat__relations_I1_J-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4885) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4887)) | ( _u4885 = _u4887) )).
% 19.49/19.69 cnf(fact_transfer__int__nat__relations_I1_J-2, axiom, ( ( _u4886 != _u4888) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4886) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4888)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_not__neg__int ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_not__neg__int-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4889))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_not__neg__number__of__Pls ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_not__neg__number__of__Pls-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Pls__def ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Pls__def-1, axiom, ( ( c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_rel__simps_I19_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_rel__simps_I19_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_rel__simps_I2_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_rel__simps_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_add__Pls__right ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_add__Pls__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4890), c_Int_OPls) = _u4890) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_add__Pls ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_add__Pls-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), _u4891) = _u4891) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_mult__Pls ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_mult__Pls-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OPls), _u4892) = c_Int_OPls) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_diff__bin__simps_I1_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_diff__bin__simps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4893), c_Int_OPls) = _u4893) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_not__neg__0 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_not__neg__0-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_not__neg__1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_not__neg__1-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_semiring__norm_I112_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_semiring__norm_I112_J-1, axiom, ( ~class_Int_Onumber__ring(_u4894) | ( c_Groups_Ozero__class_Ozero(_u4894) = hAPP(c_Int_Onumber__class_Onumber__of(_u4894), c_Int_OPls)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_number__of__Pls ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_number__of__Pls-1, axiom, ( ~class_Int_Onumber__ring(_u4895) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4895), c_Int_OPls) = c_Groups_Ozero__class_Ozero(_u4895)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_add__numeral__0 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_add__numeral__0-1, axiom, ( ~class_Int_Onumber__ring(_u4896) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4896), hAPP(c_Int_Onumber__class_Onumber__of(_u4896), c_Int_OPls)), _u4897) = _u4897) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_add__numeral__0__right ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_add__numeral__0__right-1, axiom, ( ~class_Int_Onumber__ring(_u4898) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4898), _u4899), hAPP(c_Int_Onumber__class_Onumber__of(_u4898), c_Int_OPls)) = _u4899) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_number__of2 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_number__of2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_bin__less__0__simps_I1_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_bin__less__0__simps_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_nat__number__of__Pls ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_nat__number__of__Pls-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_semiring__norm_I113_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_semiring__norm_I113_J-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zero__is__num__zero ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zero__is__num__zero-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_not__neg__eq__ge__0 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_not__neg__eq__ge__0-1, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4901)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4901)) )).
% 19.49/19.69 cnf(fact_not__neg__eq__ge__0-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4902)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4902)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_neg__def ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_neg__def-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4904)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4904), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.49/19.69 cnf(fact_neg__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4905), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4905)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J-1, axiom, ( ( c_Nat__Transfer_Otsub(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4906), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4907)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4906), _u4907))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_divide__Numeral0 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_divide__Numeral0-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u4908) | ~class_Int_Onumber__ring(_u4908) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4908), _u4909), hAPP(c_Int_Onumber__class_Onumber__of(_u4908), c_Int_OPls)) = c_Groups_Ozero__class_Ozero(_u4908)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_eq__number__of__0 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_eq__number__of__0-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4911) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4911), c_Int_OPls)) )).
% 19.49/19.69 cnf(fact_eq__number__of__0-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4912), c_Int_OPls)) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4912) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_eq__0__number__of ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_eq__0__number__of-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4914)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4914), c_Int_OPls)) )).
% 19.49/19.69 cnf(fact_eq__0__number__of-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4915), c_Int_OPls)) | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4915)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_less__nat__number__of ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_less__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4918)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4920))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4918), _u4920)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4920)) )).
% 19.49/19.69 cnf(fact_less__nat__number__of-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4918)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4920))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4918), _u4920)) )).
% 19.49/19.69 cnf(fact_less__nat__number__of-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4919)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4921))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4919), _u4921)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4921)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_le__nat__number__of ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_le__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4924)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4926))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4924), _u4926)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4924), c_Int_OPls)) )).
% 19.49/19.69 cnf(fact_le__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4925)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4927))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4925), _u4927)) )).
% 19.49/19.69 cnf(fact_le__nat__number__of-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4925)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4927))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4925), c_Int_OPls)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_neg__imp__number__of__eq__0 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_neg__imp__number__of__eq__0-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4928))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4928) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_int__nat__number__of ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_int__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4930))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4930)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.49/19.69 cnf(fact_int__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4931))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4931)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4931)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_le__special_I3_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_le__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u4932) | ~class_Rings_Olinordered__idom(_u4932) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4932), hAPP(c_Int_Onumber__class_Onumber__of(_u4932), _u4933)), c_Groups_Ozero__class_Ozero(_u4932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4933), c_Int_OPls)) )).
% 19.49/19.69 cnf(fact_le__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u4932) | ~class_Rings_Olinordered__idom(_u4932) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4933), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4932), hAPP(c_Int_Onumber__class_Onumber__of(_u4932), _u4933)), c_Groups_Ozero__class_Ozero(_u4932))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_le__special_I1_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_le__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u4934) | ~class_Rings_Olinordered__idom(_u4934) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4934), c_Groups_Ozero__class_Ozero(_u4934)), hAPP(c_Int_Onumber__class_Onumber__of(_u4934), _u4935))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4935)) )).
% 19.49/19.69 cnf(fact_le__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u4934) | ~class_Rings_Olinordered__idom(_u4934) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4935)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4934), c_Groups_Ozero__class_Ozero(_u4934)), hAPP(c_Int_Onumber__class_Onumber__of(_u4934), _u4935))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_less__special_I1_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_less__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u4936) | ~class_Rings_Olinordered__idom(_u4936) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4936), c_Groups_Ozero__class_Ozero(_u4936)), hAPP(c_Int_Onumber__class_Onumber__of(_u4936), _u4937))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4937)) )).
% 19.49/19.69 cnf(fact_less__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u4936) | ~class_Rings_Olinordered__idom(_u4936) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4937)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4936), c_Groups_Ozero__class_Ozero(_u4936)), hAPP(c_Int_Onumber__class_Onumber__of(_u4936), _u4937))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_less__special_I3_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_less__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u4938) | ~class_Rings_Olinordered__idom(_u4938) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4938), hAPP(c_Int_Onumber__class_Onumber__of(_u4938), _u4939)), c_Groups_Ozero__class_Ozero(_u4938))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4939), c_Int_OPls)) )).
% 19.49/19.69 cnf(fact_less__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u4938) | ~class_Rings_Olinordered__idom(_u4938) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4939), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4938), hAPP(c_Int_Onumber__class_Onumber__of(_u4938), _u4939)), c_Groups_Ozero__class_Ozero(_u4938))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_less__0__number__of ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_less__0__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4941))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4941)) )).
% 19.49/19.69 cnf(fact_less__0__number__of-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4942))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_add__nat__number__of ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_add__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4945), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4945)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4947)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4947)) )).
% 19.49/19.69 cnf(fact_add__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4946), c_Int_OPls)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4948), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4946)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4948)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4946)) )).
% 19.49/19.69 cnf(fact_add__nat__number__of-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4946), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4948), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4946)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4948)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4946), _u4948))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_eq__nat__number__of ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_eq__nat__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4951) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4953)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4951))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4953)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.49/19.69 cnf(fact_eq__nat__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4951) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4953)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4951))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4953))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4951) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.49/19.69 cnf(fact_eq__nat__number__of-3, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4951) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4953)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4951))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4953))) | ( _u4951 = _u4953) )).
% 19.49/19.69 cnf(fact_eq__nat__number__of-4, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4952) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4954)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4952))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4954))) | ( _u4952 != _u4954) )).
% 19.49/19.69 cnf(fact_eq__nat__number__of-5, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4952) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4954)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4952))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4952) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4954))) )).
% 19.49/19.69 cnf(fact_eq__nat__number__of-6, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4952) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4954)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4952))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4952) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u4952 != _u4954) )).
% 19.49/19.69 cnf(fact_eq__nat__number__of-7, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4952) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4954)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4954)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4952))) )).
% 19.49/19.69 cnf(fact_eq__nat__number__of-8, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4952) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4954)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4954)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4954))) | ( _u4952 != _u4954) )).
% 19.49/19.69 cnf(fact_eq__nat__number__of-9, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4952) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4954)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4954)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4952) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4954))) )).
% 19.49/19.69 cnf(fact_eq__nat__number__of-10, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4952) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4954)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4954)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4952) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u4952 != _u4954) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_nat__number__of__add__left ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_nat__number__of__add__left-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4958))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4958)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4960)), _u4962)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4960)), _u4962)) )).
% 19.49/19.69 cnf(fact_nat__number__of__add__left-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4959))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4961))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4959)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4961)), _u4963)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4959)), _u4963)) )).
% 19.49/19.69 cnf(fact_nat__number__of__add__left-3, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4959))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4961))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4959)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4961)), _u4963)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4959), _u4961))), _u4963)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4964)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4965)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Nat__Transfer_Otsub(_u4964, _u4965))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_tsub__eq ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_tsub__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4966), _u4967)) | ( c_Nat__Transfer_Otsub(_u4967, _u4966) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4967), _u4966)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Suc__nat__number__of__add ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Suc__nat__number__of__add-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4970))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4970)), _u4972)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u4972)) )).
% 19.49/19.69 cnf(fact_Suc__nat__number__of__add-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4971))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4971)), _u4973)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4971))), _u4973)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Suc__nat__number__of ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Suc__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4975))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4975)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 19.49/19.69 cnf(fact_Suc__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4976))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4976)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4976))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_nat__1__add__number__of ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_nat__1__add__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4978), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4978)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 19.49/19.69 cnf(fact_nat__1__add__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4979), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4979)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4979))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_nat__number__of__add__1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_nat__number__of__add__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4981), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4981)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 19.49/19.69 cnf(fact_nat__number__of__add__1-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4982), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4982)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4982))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_nat__number__of__diff__1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_nat__number__of__diff__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4984), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4984)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.69 cnf(fact_nat__number__of__diff__1-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4985), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4985)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u4985))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Nats__number__of ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Nats__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u4986) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4987)) | hBOOL(hAPP(hAPP(c_member(_u4986), hAPP(c_Int_Onumber__class_Onumber__of(_u4986), _u4987)), c_Nat_Osemiring__1__class_ONats(_u4986))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Suc__diff__number__of ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Suc__diff__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4988)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4989)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4988)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4989), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u4988)))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_succ__pred ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_succ__pred-1, axiom, ( ( c_Int_Osucc(c_Int_Opred(_u4990)) = _u4990) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_le__iff__pred__less ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_le__iff__pred__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4993), _u4995)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u4993)), _u4995)) )).
% 19.49/19.69 cnf(fact_le__iff__pred__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u4994)), _u4996)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4994), _u4996)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_pred__def ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_pred__def-1, axiom, ( ( c_Int_Opred(_u4997) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4997), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_succ__def ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_succ__def-1, axiom, ( ( c_Int_Osucc(_u4998) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4998), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Nats__0 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Nats__0-1, axiom, ( ~class_Rings_Osemiring__1(_u4999) | hBOOL(hAPP(hAPP(c_member(_u4999), c_Groups_Ozero__class_Ozero(_u4999)), c_Nat_Osemiring__1__class_ONats(_u4999))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Nats__add ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Nats__add-1, axiom, ( ~class_Rings_Osemiring__1(_u5000) | ~hBOOL(hAPP(hAPP(c_member(_u5000), _u5001), c_Nat_Osemiring__1__class_ONats(_u5000))) | ~hBOOL(hAPP(hAPP(c_member(_u5000), _u5002), c_Nat_Osemiring__1__class_ONats(_u5000))) | hBOOL(hAPP(hAPP(c_member(_u5000), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5000), _u5001), _u5002)), c_Nat_Osemiring__1__class_ONats(_u5000))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Nats__mult ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Nats__mult-1, axiom, ( ~class_Rings_Osemiring__1(_u5003) | ~hBOOL(hAPP(hAPP(c_member(_u5003), _u5004), c_Nat_Osemiring__1__class_ONats(_u5003))) | ~hBOOL(hAPP(hAPP(c_member(_u5003), _u5005), c_Nat_Osemiring__1__class_ONats(_u5003))) | hBOOL(hAPP(hAPP(c_member(_u5003), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5003), _u5004), _u5005)), c_Nat_Osemiring__1__class_ONats(_u5003))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Nats__1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Nats__1-1, axiom, ( ~class_Rings_Osemiring__1(_u5006) | hBOOL(hAPP(hAPP(c_member(_u5006), c_Groups_Oone__class_Oone(_u5006)), c_Nat_Osemiring__1__class_ONats(_u5006))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_of__nat__in__Nats ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_of__nat__in__Nats-1, axiom, ( ~class_Rings_Osemiring__1(_u5007) | hBOOL(hAPP(hAPP(c_member(_u5007), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5007), _u5008)), c_Nat_Osemiring__1__class_ONats(_u5007))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_number__of__succ ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_number__of__succ-1, axiom, ( ~class_Int_Onumber__ring(_u5009) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5009), c_Int_Osucc(_u5010)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5009), c_Groups_Oone__class_Oone(_u5009)), hAPP(c_Int_Onumber__class_Onumber__of(_u5009), _u5010))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_neg__number__of__pred__iff__0 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_neg__number__of__pred__iff__0-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u5012)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5012) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.69 cnf(fact_neg__number__of__pred__iff__0-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5013) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u5013)))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_decr__mult__lemma ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_decr__mult__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5016)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5018)) | ~hBOOL(hAPP(_u5017, _u5015)) | hBOOL(hAPP(_u5017, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5015), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5018), _u5016)))) | hBOOL(hAPP(_u5017, skolem107(_u5018, _u5017, _u5016))) )).
% 19.49/19.69 cnf(fact_decr__mult__lemma-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5016)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5018)) | ~hBOOL(hAPP(_u5017, _u5015)) | hBOOL(hAPP(_u5017, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5015), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5018), _u5016)))) | ~hBOOL(hAPP(_u5017, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem107(_u5018, _u5017, _u5016)), _u5016))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_incr__mult__lemma ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_incr__mult__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5021)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5023)) | ~hBOOL(hAPP(_u5022, _u5020)) | hBOOL(hAPP(_u5022, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5020), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5023), _u5021)))) | hBOOL(hAPP(_u5022, skolem108(_u5023, _u5022, _u5021))) )).
% 19.49/19.69 cnf(fact_incr__mult__lemma-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5021)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5023)) | ~hBOOL(hAPP(_u5022, _u5020)) | hBOOL(hAPP(_u5022, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5020), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5023), _u5021)))) | ~hBOOL(hAPP(_u5022, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem108(_u5023, _u5022, _u5021)), _u5021))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zero__less__imp__eq__int ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zero__less__imp__eq__int-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5025)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem109(_u5025))) )).
% 19.49/19.69 cnf(fact_zero__less__imp__eq__int-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5025)) | ( _u5025 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem109(_u5025))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_incr__lemma ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_incr__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5026)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5027), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5028), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5028), _u5027))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5026)))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_decr__lemma ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_decr__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5029)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5030), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5030), _u5031))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5029))), _u5031)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Min__eqI ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Min__eqI-1, axiom, ( ~class_Orderings_Olinorder(_u5033) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5033), _u5034)) | ~hBOOL(hAPP(hAPP(c_member(_u5033), _u5035), _u5034)) | ( c_Big__Operators_Olinorder__class_OMin(_u5033, _u5034) = _u5035) | hBOOL(hAPP(hAPP(c_member(_u5033), skolem110(_u5035, _u5034, _u5033)), _u5034)) )).
% 19.49/19.69 cnf(fact_Min__eqI-2, axiom, ( ~class_Orderings_Olinorder(_u5033) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5033), _u5034)) | ~hBOOL(hAPP(hAPP(c_member(_u5033), _u5035), _u5034)) | ( c_Big__Operators_Olinorder__class_OMin(_u5033, _u5034) = _u5035) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5033), _u5035), skolem110(_u5035, _u5034, _u5033))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Suc__diff__eq__diff__pred ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Suc__diff__eq__diff__pred-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls)), _u5036)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5037)), _u5036) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5037), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5036), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls))))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__idempotent ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__idempotent-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5038) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5038), hAPP(c_Groups_Oabs__class_Oabs(_u5038), _u5039)) = hAPP(c_Groups_Oabs__class_Oabs(_u5038), _u5039)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_rel__simps_I51_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_rel__simps_I51_J-1, axiom, ( ( c_Int_OBit1(_u5042) != c_Int_OBit1(_u5044)) | ( _u5042 = _u5044) )).
% 19.49/19.69 cnf(fact_rel__simps_I51_J-2, axiom, ( ( _u5043 != _u5045) | ( c_Int_OBit1(_u5043) = c_Int_OBit1(_u5045)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__ge__self ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__ge__self-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5046) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5046), _u5047), hAPP(c_Groups_Oabs__class_Oabs(_u5046), _u5047))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__le__D1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__le__D1-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5048) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5048), hAPP(c_Groups_Oabs__class_Oabs(_u5048), _u5049)), _u5050)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5048), _u5049), _u5050)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__eq__0 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__eq__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5051) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5051), _u5052) != c_Groups_Ozero__class_Ozero(_u5051)) | ( _u5052 = c_Groups_Ozero__class_Ozero(_u5051)) )).
% 19.49/19.69 cnf(fact_abs__eq__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5051) | ( _u5052 != c_Groups_Ozero__class_Ozero(_u5051)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5051), _u5052) = c_Groups_Ozero__class_Ozero(_u5051)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__zero ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5053) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5053), c_Groups_Ozero__class_Ozero(_u5053)) = c_Groups_Ozero__class_Ozero(_u5053)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__add__abs ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__add__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5054) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5054), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5054), hAPP(c_Groups_Oabs__class_Oabs(_u5054), _u5055)), hAPP(c_Groups_Oabs__class_Oabs(_u5054), _u5056))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5054), hAPP(c_Groups_Oabs__class_Oabs(_u5054), _u5055)), hAPP(c_Groups_Oabs__class_Oabs(_u5054), _u5056))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__mult__self ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__mult__self-1, axiom, ( ~class_Rings_Olinordered__idom(_u5057) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5057), hAPP(c_Groups_Oabs__class_Oabs(_u5057), _u5058)), hAPP(c_Groups_Oabs__class_Oabs(_u5057), _u5058)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5057), _u5058), _u5058)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__mult ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__mult-1, axiom, ( ~class_Rings_Olinordered__idom(_u5059) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5059), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5059), _u5060), _u5061)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5059), hAPP(c_Groups_Oabs__class_Oabs(_u5059), _u5060)), hAPP(c_Groups_Oabs__class_Oabs(_u5059), _u5061))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__minus__commute ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__minus__commute-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5062) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5062), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5062), _u5063), _u5064)) = hAPP(c_Groups_Oabs__class_Oabs(_u5062), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5062), _u5064), _u5063))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__one ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__one-1, axiom, ( ~class_Rings_Olinordered__idom(_u5065) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5065), c_Groups_Oone__class_Oone(_u5065)) = c_Groups_Oone__class_Oone(_u5065)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__of__nat ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__of__nat-1, axiom, ( ~class_Rings_Olinordered__idom(_u5066) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5066), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5066), _u5067)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5066), _u5067)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__divide ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__divide-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5068) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5068), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5068), _u5069), _u5070)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5068), hAPP(c_Groups_Oabs__class_Oabs(_u5068), _u5069)), hAPP(c_Groups_Oabs__class_Oabs(_u5068), _u5070))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__int__eq ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__int__eq-1, axiom, ( ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5071)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5071)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_less__eq__int__code_I16_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_less__eq__int__code_I16_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5074)), c_Int_OBit1(_u5076))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5074), _u5076)) )).
% 19.49/19.69 cnf(fact_less__eq__int__code_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5075), _u5077)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5075)), c_Int_OBit1(_u5077))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_rel__simps_I34_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_rel__simps_I34_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5080)), c_Int_OBit1(_u5082))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5080), _u5082)) )).
% 19.49/19.69 cnf(fact_rel__simps_I34_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5081), _u5083)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5081)), c_Int_OBit1(_u5083))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_rel__simps_I17_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_rel__simps_I17_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5086)), c_Int_OBit1(_u5088))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5086), _u5088)) )).
% 19.49/19.69 cnf(fact_rel__simps_I17_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5087), _u5089)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5087)), c_Int_OBit1(_u5089))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_less__int__code_I16_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_less__int__code_I16_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5092)), c_Int_OBit1(_u5094))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5092), _u5094)) )).
% 19.49/19.69 cnf(fact_less__int__code_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5093), _u5095)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5093)), c_Int_OBit1(_u5095))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_rel__simps_I46_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_rel__simps_I46_J-1, axiom, ( ( c_Int_OBit1(_u5096) != c_Int_OPls) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_rel__simps_I39_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_rel__simps_I39_J-1, axiom, ( ( c_Int_OPls != c_Int_OBit1(_u5097)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__of__nonneg ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__of__nonneg-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5098) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5098), c_Groups_Ozero__class_Ozero(_u5098)), _u5099)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5098), _u5099) = _u5099) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__le__zero__iff ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__le__zero__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5100) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5100), hAPP(c_Groups_Oabs__class_Oabs(_u5100), _u5101)), c_Groups_Ozero__class_Ozero(_u5100))) | ( _u5101 = c_Groups_Ozero__class_Ozero(_u5100)) )).
% 19.49/19.69 cnf(fact_abs__le__zero__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5100) | ( _u5101 != c_Groups_Ozero__class_Ozero(_u5100)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5100), hAPP(c_Groups_Oabs__class_Oabs(_u5100), _u5101)), c_Groups_Ozero__class_Ozero(_u5100))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__ge__zero ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__ge__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5102) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5102), c_Groups_Ozero__class_Ozero(_u5102)), hAPP(c_Groups_Oabs__class_Oabs(_u5102), _u5103))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__not__less__zero ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__not__less__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5104) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5104), hAPP(c_Groups_Oabs__class_Oabs(_u5104), _u5105)), c_Groups_Ozero__class_Ozero(_u5104))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zero__less__abs__iff ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zero__less__abs__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5106) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5106), c_Groups_Ozero__class_Ozero(_u5106)), hAPP(c_Groups_Oabs__class_Oabs(_u5106), _u5107))) | ( _u5107 != c_Groups_Ozero__class_Ozero(_u5106)) )).
% 19.49/19.69 cnf(fact_zero__less__abs__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5106) | ( _u5107 = c_Groups_Ozero__class_Ozero(_u5106)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5106), c_Groups_Ozero__class_Ozero(_u5106)), hAPP(c_Groups_Oabs__class_Oabs(_u5106), _u5107))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__of__pos ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__of__pos-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5108) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5108), c_Groups_Ozero__class_Ozero(_u5108)), _u5109)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5108), _u5109) = _u5109) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__triangle__ineq ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__triangle__ineq-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5110) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5110), hAPP(c_Groups_Oabs__class_Oabs(_u5110), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5110), _u5111), _u5112))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5110), hAPP(c_Groups_Oabs__class_Oabs(_u5110), _u5111)), hAPP(c_Groups_Oabs__class_Oabs(_u5110), _u5112)))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__mult__less ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__mult__less-1, axiom, ( ~class_Rings_Olinordered__idom(_u5113) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5113), hAPP(c_Groups_Oabs__class_Oabs(_u5113), _u5114)), _u5115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5113), hAPP(c_Groups_Oabs__class_Oabs(_u5113), _u5116)), _u5117)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5113), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5113), hAPP(c_Groups_Oabs__class_Oabs(_u5113), _u5114)), hAPP(c_Groups_Oabs__class_Oabs(_u5113), _u5116))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5113), _u5115), _u5117))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__triangle__ineq3 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__triangle__ineq3-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5118) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5118), hAPP(c_Groups_Oabs__class_Oabs(_u5118), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5118), hAPP(c_Groups_Oabs__class_Oabs(_u5118), _u5119)), hAPP(c_Groups_Oabs__class_Oabs(_u5118), _u5120)))), hAPP(c_Groups_Oabs__class_Oabs(_u5118), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5118), _u5119), _u5120)))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__triangle__ineq2 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__triangle__ineq2-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5121) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5121), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5121), hAPP(c_Groups_Oabs__class_Oabs(_u5121), _u5122)), hAPP(c_Groups_Oabs__class_Oabs(_u5121), _u5123))), hAPP(c_Groups_Oabs__class_Oabs(_u5121), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5121), _u5122), _u5123)))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__triangle__ineq2__sym ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__triangle__ineq2__sym-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5124) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5124), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5124), hAPP(c_Groups_Oabs__class_Oabs(_u5124), _u5125)), hAPP(c_Groups_Oabs__class_Oabs(_u5124), _u5126))), hAPP(c_Groups_Oabs__class_Oabs(_u5124), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5124), _u5126), _u5125)))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_nonzero__abs__divide ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_nonzero__abs__divide-1, axiom, ( ~class_Fields_Olinordered__field(_u5127) | ( _u5128 = c_Groups_Ozero__class_Ozero(_u5127)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5127), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5127), _u5129), _u5128)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5127), hAPP(c_Groups_Oabs__class_Oabs(_u5127), _u5129)), hAPP(c_Groups_Oabs__class_Oabs(_u5127), _u5128))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_bin__less__0__simps_I4_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_bin__less__0__simps_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5131)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5131), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.49/19.69 cnf(fact_bin__less__0__simps_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5132), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5132)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__zmult__eq__1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__zmult__eq__1-1, axiom, ( ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5133), _u5134)) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u5133) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_rel__simps_I22_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_rel__simps_I22_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u5136))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5136)) )).
% 19.49/19.69 cnf(fact_rel__simps_I22_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5137)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u5137))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_rel__simps_I12_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_rel__simps_I12_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5139)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5139), c_Int_OPls)) )).
% 19.49/19.69 cnf(fact_rel__simps_I12_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5140), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5140)), c_Int_OPls)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Bit1__def ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Bit1__def-1, axiom, ( ( c_Int_OBit1(_u5141) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u5141)), _u5141)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_neg__number__of__Bit1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_neg__number__of__Bit1-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u5143)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5143))) )).
% 19.49/19.69 cnf(fact_neg__number__of__Bit1-2, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5144))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u5144)))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_succ__Pls ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_succ__Pls-1, axiom, ( ( c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__mult__pos ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__mult__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u5145) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5145), c_Groups_Ozero__class_Ozero(_u5145)), _u5146)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5145), hAPP(c_Groups_Oabs__class_Oabs(_u5145), _u5147)), _u5146) = hAPP(c_Groups_Oabs__class_Oabs(_u5145), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5145), _u5147), _u5146))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__eq__mult ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__eq__mult-1, axiom, ( ~class_Rings_Oordered__ring__abs(_u5148) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5148), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5148), _u5149), _u5150)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5148), hAPP(c_Groups_Oabs__class_Oabs(_u5148), _u5149)), hAPP(c_Groups_Oabs__class_Oabs(_u5148), _u5150))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5148), c_Groups_Ozero__class_Ozero(_u5148)), _u5149)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5148), c_Groups_Ozero__class_Ozero(_u5148)), _u5150)) )).
% 19.49/19.69 cnf(fact_abs__eq__mult-2, axiom, ( ~class_Rings_Oordered__ring__abs(_u5148) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5148), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5148), _u5149), _u5150)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5148), hAPP(c_Groups_Oabs__class_Oabs(_u5148), _u5149)), hAPP(c_Groups_Oabs__class_Oabs(_u5148), _u5150))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5148), c_Groups_Ozero__class_Ozero(_u5148)), _u5149)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5148), _u5150), c_Groups_Ozero__class_Ozero(_u5148))) )).
% 19.49/19.69 cnf(fact_abs__eq__mult-3, axiom, ( ~class_Rings_Oordered__ring__abs(_u5148) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5148), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5148), _u5149), _u5150)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5148), hAPP(c_Groups_Oabs__class_Oabs(_u5148), _u5149)), hAPP(c_Groups_Oabs__class_Oabs(_u5148), _u5150))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5148), _u5149), c_Groups_Ozero__class_Ozero(_u5148))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5148), c_Groups_Ozero__class_Ozero(_u5148)), _u5150)) )).
% 19.49/19.69 cnf(fact_abs__eq__mult-4, axiom, ( ~class_Rings_Oordered__ring__abs(_u5148) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5148), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5148), _u5149), _u5150)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5148), hAPP(c_Groups_Oabs__class_Oabs(_u5148), _u5149)), hAPP(c_Groups_Oabs__class_Oabs(_u5148), _u5150))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5148), _u5149), c_Groups_Ozero__class_Ozero(_u5148))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5148), _u5150), c_Groups_Ozero__class_Ozero(_u5148))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__triangle__ineq4 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__triangle__ineq4-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5151) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5151), hAPP(c_Groups_Oabs__class_Oabs(_u5151), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5151), _u5152), _u5153))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5151), hAPP(c_Groups_Oabs__class_Oabs(_u5151), _u5152)), hAPP(c_Groups_Oabs__class_Oabs(_u5151), _u5153)))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__diff__triangle__ineq ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__diff__triangle__ineq-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5154) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5154), hAPP(c_Groups_Oabs__class_Oabs(_u5154), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5154), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5154), _u5155), _u5156)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5154), _u5157), _u5158)))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5154), hAPP(c_Groups_Oabs__class_Oabs(_u5154), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5154), _u5155), _u5157))), hAPP(c_Groups_Oabs__class_Oabs(_u5154), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5154), _u5156), _u5158))))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__div__pos ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__div__pos-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5159) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5159), c_Groups_Ozero__class_Ozero(_u5159)), _u5160)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5159), hAPP(c_Groups_Oabs__class_Oabs(_u5159), _u5161)), _u5160) = hAPP(c_Groups_Oabs__class_Oabs(_u5159), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5159), _u5161), _u5160))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_number__of__Bit1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_number__of__Bit1-1, axiom, ( ~class_Int_Onumber__ring(_u5162) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5162), c_Int_OBit1(_u5163)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5162), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5162), c_Groups_Oone__class_Oone(_u5162)), hAPP(c_Int_Onumber__class_Onumber__of(_u5162), _u5163))), hAPP(c_Int_Onumber__class_Onumber__of(_u5162), _u5163))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zabs__less__one__iff ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zabs__less__one__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u5165)), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u5165 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.49/19.69 cnf(fact_zabs__less__one__iff-2, axiom, ( ( _u5166 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u5166)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_mult__numeral__1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_mult__numeral__1-1, axiom, ( ~class_Int_Onumber__ring(_u5167) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5167), hAPP(c_Int_Onumber__class_Onumber__of(_u5167), c_Int_OBit1(c_Int_OPls))), _u5168) = _u5168) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_mult__numeral__1__right ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_mult__numeral__1__right-1, axiom, ( ~class_Int_Onumber__ring(_u5169) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5169), _u5170), hAPP(c_Int_Onumber__class_Onumber__of(_u5169), c_Int_OBit1(c_Int_OPls))) = _u5170) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_semiring__norm_I110_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_semiring__norm_I110_J-1, axiom, ( ~class_Int_Onumber__ring(_u5171) | ( c_Groups_Oone__class_Oone(_u5171) = hAPP(c_Int_Onumber__class_Onumber__of(_u5171), c_Int_OBit1(c_Int_OPls))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_numeral__1__eq__1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_numeral__1__eq__1-1, axiom, ( ~class_Int_Onumber__ring(_u5172) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5172), c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(_u5172)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_rel__simps_I5_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_rel__simps_I5_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u5174))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5174)) )).
% 19.49/19.69 cnf(fact_rel__simps_I5_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5175)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u5175))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_rel__simps_I29_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_rel__simps_I29_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5177)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5177), c_Int_OPls)) )).
% 19.49/19.69 cnf(fact_rel__simps_I29_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5178), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5178)), c_Int_OPls)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_divide__numeral__1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_divide__numeral__1-1, axiom, ( ~class_Fields_Ofield(_u5179) | ~class_Int_Onumber__ring(_u5179) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5179), _u5180), hAPP(c_Int_Onumber__class_Onumber__of(_u5179), c_Int_OBit1(c_Int_OPls))) = _u5180) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_divide__Numeral1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_divide__Numeral1-1, axiom, ( ~class_Fields_Ofield(_u5181) | ~class_Int_Onumber__ring(_u5181) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5181), _u5182), hAPP(c_Int_Onumber__class_Onumber__of(_u5181), c_Int_OBit1(c_Int_OPls))) = _u5182) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_one__is__num__one ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_one__is__num__one-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Numeral1__eq1__nat ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Numeral1__eq1__nat-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_nat__numeral__1__eq__1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_nat__numeral__1__eq__1-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_numeral__1__eq__Suc__0 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_numeral__1__eq__Suc__0-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_numeral__3__eq__3 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_numeral__3__eq__3-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Suc3__eq__add__3 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Suc3__eq__add__3-1, axiom, ( ( hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u5183))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))), _u5183)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_transfer__int__nat__numerals_I4_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_transfer__int__nat__numerals_I4_J-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_le__special_I2_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_le__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u5184) | ~class_Rings_Olinordered__idom(_u5184) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5184), c_Groups_Oone__class_Oone(_u5184)), hAPP(c_Int_Onumber__class_Onumber__of(_u5184), _u5185))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u5185)) )).
% 19.49/19.69 cnf(fact_le__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u5184) | ~class_Rings_Olinordered__idom(_u5184) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u5185)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5184), c_Groups_Oone__class_Oone(_u5184)), hAPP(c_Int_Onumber__class_Onumber__of(_u5184), _u5185))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_le__special_I4_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_le__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u5186) | ~class_Rings_Olinordered__idom(_u5186) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5186), hAPP(c_Int_Onumber__class_Onumber__of(_u5186), _u5187)), c_Groups_Oone__class_Oone(_u5186))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5187), c_Int_OBit1(c_Int_OPls))) )).
% 19.49/19.69 cnf(fact_le__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u5186) | ~class_Rings_Olinordered__idom(_u5186) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5187), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5186), hAPP(c_Int_Onumber__class_Onumber__of(_u5186), _u5187)), c_Groups_Oone__class_Oone(_u5186))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_less__special_I2_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_less__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u5188) | ~class_Rings_Olinordered__idom(_u5188) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5188), c_Groups_Oone__class_Oone(_u5188)), hAPP(c_Int_Onumber__class_Onumber__of(_u5188), _u5189))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u5189)) )).
% 19.49/19.69 cnf(fact_less__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u5188) | ~class_Rings_Olinordered__idom(_u5188) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u5189)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5188), c_Groups_Oone__class_Oone(_u5188)), hAPP(c_Int_Onumber__class_Onumber__of(_u5188), _u5189))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_less__special_I4_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_less__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u5190) | ~class_Rings_Olinordered__idom(_u5190) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5190), hAPP(c_Int_Onumber__class_Onumber__of(_u5190), _u5191)), c_Groups_Oone__class_Oone(_u5190))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5191), c_Int_OBit1(c_Int_OPls))) )).
% 19.49/19.69 cnf(fact_less__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u5190) | ~class_Rings_Olinordered__idom(_u5190) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5191), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5190), hAPP(c_Int_Onumber__class_Onumber__of(_u5190), _u5191)), c_Groups_Oone__class_Oone(_u5190))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_add__special_I3_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_add__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u5192) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5192), hAPP(c_Int_Onumber__class_Onumber__of(_u5192), _u5193)), c_Groups_Oone__class_Oone(_u5192)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5192), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5193), c_Int_OBit1(c_Int_OPls)))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_add__special_I2_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_add__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u5194) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5194), c_Groups_Oone__class_Oone(_u5194)), hAPP(c_Int_Onumber__class_Onumber__of(_u5194), _u5195)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5194), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u5195))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_one__code__numeral__code ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_one__code__numeral__code-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit1(c_Int_OPls))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_diff__special_I2_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_diff__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u5196) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5196), hAPP(c_Int_Onumber__class_Onumber__of(_u5196), _u5197)), c_Groups_Oone__class_Oone(_u5196)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5196), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5197), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_diff__special_I1_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_diff__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u5198) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5198), c_Groups_Oone__class_Oone(_u5198)), hAPP(c_Int_Onumber__class_Onumber__of(_u5198), _u5199)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5198), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5199)))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_less__2__cases ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_less__2__cases-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5200), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ( _u5200 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u5200 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_half__gt__zero__iff ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_half__gt__zero__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5201) | ~class_Int_Onumber__ring(_u5201) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5201), c_Groups_Ozero__class_Ozero(_u5201)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5201), _u5202), hAPP(c_Int_Onumber__class_Onumber__of(_u5201), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5201), c_Groups_Ozero__class_Ozero(_u5201)), _u5202)) )).
% 19.49/19.69 cnf(fact_half__gt__zero__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5201) | ~class_Int_Onumber__ring(_u5201) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5201), c_Groups_Ozero__class_Ozero(_u5201)), _u5202)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5201), c_Groups_Ozero__class_Ozero(_u5201)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5201), _u5202), hAPP(c_Int_Onumber__class_Onumber__of(_u5201), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_half__gt__zero ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_half__gt__zero-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u5203) | ~class_Int_Onumber__ring(_u5203) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5203), c_Groups_Ozero__class_Ozero(_u5203)), _u5204)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5203), c_Groups_Ozero__class_Ozero(_u5203)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5203), _u5204), hAPP(c_Int_Onumber__class_Onumber__of(_u5203), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_negative__zle ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_negative__zle-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5205))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5206))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_negative__zless ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_negative__zless-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u5207)))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5208))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_number__of__minus ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_number__of__minus-1, axiom, ( ~class_Int_Onumber__ring(_u5209) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5209), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5210)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5209), hAPP(c_Int_Onumber__class_Onumber__of(_u5209), _u5210))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_arith__simps_I30_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_arith__simps_I30_J-1, axiom, ( ~class_Int_Onumber__ring(_u5211) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5211), hAPP(c_Int_Onumber__class_Onumber__of(_u5211), _u5212)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5211), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5212))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_code__numeral__zero__minus__one ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_code__numeral__zero__minus__one-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zminus__zminus ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zminus__zminus-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5213)) = _u5213) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_minus__Bit0 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_minus__Bit0-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit0(_u5214)) = c_Int_OBit0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5214))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_rel__simps_I48_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_rel__simps_I48_J-1, axiom, ( ( c_Int_OBit0(_u5217) != c_Int_OBit0(_u5219)) | ( _u5217 = _u5219) )).
% 19.49/19.69 cnf(fact_rel__simps_I48_J-2, axiom, ( ( _u5218 != _u5220) | ( c_Int_OBit0(_u5218) = c_Int_OBit0(_u5220)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_double__compl ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_double__compl-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u5221) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5221), hAPP(c_Groups_Ouminus__class_Ouminus(_u5221), _u5222)) = _u5222) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_uminus__apply ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_uminus__apply-1, axiom, ( ~class_Groups_Ouminus(_u5223) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5224, _u5223)), _u5225), _u5226) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5223), hAPP(_u5225, _u5226))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_compl__eq__compl__iff ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_compl__eq__compl__iff-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u5227) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5227), _u5228) != hAPP(c_Groups_Ouminus__class_Ouminus(_u5227), _u5229)) | ( _u5228 = _u5229) )).
% 19.49/19.69 cnf(fact_compl__eq__compl__iff-2, axiom, ( ~class_Lattices_Oboolean__algebra(_u5227) | ( _u5228 != _u5229) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5227), _u5228) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5227), _u5229)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_minus__minus ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_minus__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u5230) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5230), hAPP(c_Groups_Ouminus__class_Ouminus(_u5230), _u5231)) = _u5231) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_equation__minus__iff ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_equation__minus__iff-1, axiom, ( ~class_Groups_Ogroup__add(_u5232) | ( _u5233 != hAPP(c_Groups_Ouminus__class_Ouminus(_u5232), _u5234)) | ( _u5234 = hAPP(c_Groups_Ouminus__class_Ouminus(_u5232), _u5233)) )).
% 19.49/19.69 cnf(fact_equation__minus__iff-2, axiom, ( ~class_Groups_Ogroup__add(_u5232) | ( _u5234 != hAPP(c_Groups_Ouminus__class_Ouminus(_u5232), _u5233)) | ( _u5233 = hAPP(c_Groups_Ouminus__class_Ouminus(_u5232), _u5234)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_minus__equation__iff ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_minus__equation__iff-1, axiom, ( ~class_Groups_Ogroup__add(_u5235) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5235), _u5236) != _u5237) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5235), _u5237) = _u5236) )).
% 19.49/19.69 cnf(fact_minus__equation__iff-2, axiom, ( ~class_Groups_Ogroup__add(_u5235) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5235), _u5237) != _u5236) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5235), _u5236) = _u5237) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_neg__equal__iff__equal ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_neg__equal__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u5238) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5238), _u5239) != hAPP(c_Groups_Ouminus__class_Ouminus(_u5238), _u5240)) | ( _u5239 = _u5240) )).
% 19.49/19.69 cnf(fact_neg__equal__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u5238) | ( _u5239 != _u5240) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5238), _u5239) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5238), _u5240)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_minus__number__of__mult ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_minus__number__of__mult-1, axiom, ( ~class_Int_Onumber__ring(_u5241) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5241), hAPP(c_Groups_Ouminus__class_Ouminus(_u5241), hAPP(c_Int_Onumber__class_Onumber__of(_u5241), _u5242))), _u5243) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5241), hAPP(c_Int_Onumber__class_Onumber__of(_u5241), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5242))), _u5243)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_le__imp__neg__le ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_le__imp__neg__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5244) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5244), _u5245), _u5246)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5244), hAPP(c_Groups_Ouminus__class_Ouminus(_u5244), _u5246)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5244), _u5245))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_neg__le__iff__le ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_neg__le__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5247) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5247), hAPP(c_Groups_Ouminus__class_Ouminus(_u5247), _u5248)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5247), _u5249))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5247), _u5249), _u5248)) )).
% 19.49/19.69 cnf(fact_neg__le__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5247) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5247), _u5249), _u5248)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5247), hAPP(c_Groups_Ouminus__class_Ouminus(_u5247), _u5248)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5247), _u5249))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_minus__le__iff ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_minus__le__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5250) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5250), hAPP(c_Groups_Ouminus__class_Ouminus(_u5250), _u5251)), _u5252)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5250), hAPP(c_Groups_Ouminus__class_Ouminus(_u5250), _u5252)), _u5251)) )).
% 19.49/19.69 cnf(fact_minus__le__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5250) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5250), hAPP(c_Groups_Ouminus__class_Ouminus(_u5250), _u5252)), _u5251)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5250), hAPP(c_Groups_Ouminus__class_Ouminus(_u5250), _u5251)), _u5252)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_le__minus__iff ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_le__minus__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5253) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5253), _u5254), hAPP(c_Groups_Ouminus__class_Ouminus(_u5253), _u5255))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5253), _u5255), hAPP(c_Groups_Ouminus__class_Ouminus(_u5253), _u5254))) )).
% 19.49/19.69 cnf(fact_le__minus__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5253) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5253), _u5255), hAPP(c_Groups_Ouminus__class_Ouminus(_u5253), _u5254))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5253), _u5254), hAPP(c_Groups_Ouminus__class_Ouminus(_u5253), _u5255))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_compl__mono ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_compl__mono-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u5256) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5256), _u5257), _u5258)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5256), hAPP(c_Groups_Ouminus__class_Ouminus(_u5256), _u5258)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5256), _u5257))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_compl__le__compl__iff ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_compl__le__compl__iff-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u5259) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), hAPP(c_Groups_Ouminus__class_Ouminus(_u5259), _u5260)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5259), _u5261))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), _u5261), _u5260)) )).
% 19.49/19.69 cnf(fact_compl__le__compl__iff-2, axiom, ( ~class_Lattices_Oboolean__algebra(_u5259) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), _u5261), _u5260)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), hAPP(c_Groups_Ouminus__class_Ouminus(_u5259), _u5260)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5259), _u5261))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_minus__zero ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_minus__zero-1, axiom, ( ~class_Groups_Ogroup__add(_u5262) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5262), c_Groups_Ozero__class_Ozero(_u5262)) = c_Groups_Ozero__class_Ozero(_u5262)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_neg__0__equal__iff__equal ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_neg__0__equal__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u5263) | ( c_Groups_Ozero__class_Ozero(_u5263) != hAPP(c_Groups_Ouminus__class_Ouminus(_u5263), _u5264)) | ( c_Groups_Ozero__class_Ozero(_u5263) = _u5264) )).
% 19.49/19.69 cnf(fact_neg__0__equal__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u5263) | ( c_Groups_Ozero__class_Ozero(_u5263) != _u5264) | ( c_Groups_Ozero__class_Ozero(_u5263) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5263), _u5264)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_equal__neg__zero ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_equal__neg__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u5265) | ( _u5266 != hAPP(c_Groups_Ouminus__class_Ouminus(_u5265), _u5266)) | ( _u5266 = c_Groups_Ozero__class_Ozero(_u5265)) )).
% 19.49/19.69 cnf(fact_equal__neg__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u5265) | ( _u5266 != c_Groups_Ozero__class_Ozero(_u5265)) | ( _u5266 = hAPP(c_Groups_Ouminus__class_Ouminus(_u5265), _u5266)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_neg__equal__0__iff__equal ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_neg__equal__0__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u5267) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5267), _u5268) != c_Groups_Ozero__class_Ozero(_u5267)) | ( _u5268 = c_Groups_Ozero__class_Ozero(_u5267)) )).
% 19.49/19.69 cnf(fact_neg__equal__0__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u5267) | ( _u5268 != c_Groups_Ozero__class_Ozero(_u5267)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5267), _u5268) = c_Groups_Ozero__class_Ozero(_u5267)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_neg__equal__zero ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_neg__equal__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u5269) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5269), _u5270) != _u5270) | ( _u5270 = c_Groups_Ozero__class_Ozero(_u5269)) )).
% 19.49/19.69 cnf(fact_neg__equal__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u5269) | ( _u5270 != c_Groups_Ozero__class_Ozero(_u5269)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5269), _u5270) = _u5270) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_neg__less__iff__less ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_neg__less__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5271) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5271), hAPP(c_Groups_Ouminus__class_Ouminus(_u5271), _u5272)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5271), _u5273))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5271), _u5273), _u5272)) )).
% 19.49/19.69 cnf(fact_neg__less__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5271) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5271), _u5273), _u5272)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5271), hAPP(c_Groups_Ouminus__class_Ouminus(_u5271), _u5272)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5271), _u5273))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_minus__less__iff ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_minus__less__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5274) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5274), hAPP(c_Groups_Ouminus__class_Ouminus(_u5274), _u5275)), _u5276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5274), hAPP(c_Groups_Ouminus__class_Ouminus(_u5274), _u5276)), _u5275)) )).
% 19.49/19.69 cnf(fact_minus__less__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5274) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5274), hAPP(c_Groups_Ouminus__class_Ouminus(_u5274), _u5276)), _u5275)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5274), hAPP(c_Groups_Ouminus__class_Ouminus(_u5274), _u5275)), _u5276)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_less__minus__iff ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_less__minus__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5277) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5277), _u5278), hAPP(c_Groups_Ouminus__class_Ouminus(_u5277), _u5279))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5277), _u5279), hAPP(c_Groups_Ouminus__class_Ouminus(_u5277), _u5278))) )).
% 19.49/19.69 cnf(fact_less__minus__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5277) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5277), _u5279), hAPP(c_Groups_Ouminus__class_Ouminus(_u5277), _u5278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5277), _u5278), hAPP(c_Groups_Ouminus__class_Ouminus(_u5277), _u5279))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_minus__add__distrib ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_minus__add__distrib-1, axiom, ( ~class_Groups_Oab__group__add(_u5280) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5280), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5280), _u5281), _u5282)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5280), hAPP(c_Groups_Ouminus__class_Ouminus(_u5280), _u5281)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5280), _u5282))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_minus__add ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_minus__add-1, axiom, ( ~class_Groups_Ogroup__add(_u5283) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5283), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5283), _u5284), _u5285)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5283), hAPP(c_Groups_Ouminus__class_Ouminus(_u5283), _u5285)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5283), _u5284))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_add__minus__cancel ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_add__minus__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u5286) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5286), _u5287), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5286), hAPP(c_Groups_Ouminus__class_Ouminus(_u5286), _u5287)), _u5288)) = _u5288) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_minus__add__cancel ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_minus__add__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u5289) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5289), hAPP(c_Groups_Ouminus__class_Ouminus(_u5289), _u5290)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5289), _u5290), _u5291)) = _u5291) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_square__eq__iff ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_square__eq__iff-1, axiom, ( ~class_Rings_Oidom(_u5292) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5292), _u5293), _u5293) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5292), _u5294), _u5294)) | ( _u5293 = _u5294) | ( _u5293 = hAPP(c_Groups_Ouminus__class_Ouminus(_u5292), _u5294)) )).
% 19.49/19.69 cnf(fact_square__eq__iff-2, axiom, ( ~class_Rings_Oidom(_u5292) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5292), _u5293), _u5293) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5292), _u5294), _u5294)) | ( _u5293 != _u5294) )).
% 19.49/19.69 cnf(fact_square__eq__iff-3, axiom, ( ~class_Rings_Oidom(_u5292) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5292), _u5293), _u5293) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5292), _u5294), _u5294)) | ( _u5293 != hAPP(c_Groups_Ouminus__class_Ouminus(_u5292), _u5294)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_minus__mult__minus ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_minus__mult__minus-1, axiom, ( ~class_Rings_Oring(_u5295) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5295), hAPP(c_Groups_Ouminus__class_Ouminus(_u5295), _u5296)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5295), _u5297)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5295), _u5296), _u5297)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_minus__mult__commute ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_minus__mult__commute-1, axiom, ( ~class_Rings_Oring(_u5298) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5298), hAPP(c_Groups_Ouminus__class_Ouminus(_u5298), _u5299)), _u5300) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5298), _u5299), hAPP(c_Groups_Ouminus__class_Ouminus(_u5298), _u5300))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_minus__mult__left ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_minus__mult__left-1, axiom, ( ~class_Rings_Oring(_u5301) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5301), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5301), _u5302), _u5303)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5301), hAPP(c_Groups_Ouminus__class_Ouminus(_u5301), _u5302)), _u5303)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_minus__mult__right ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_minus__mult__right-1, axiom, ( ~class_Rings_Oring(_u5304) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5304), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5304), _u5305), _u5306)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5304), _u5305), hAPP(c_Groups_Ouminus__class_Ouminus(_u5304), _u5306))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_minus__diff__eq ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_minus__diff__eq-1, axiom, ( ~class_Groups_Oab__group__add(_u5307) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5307), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5307), _u5308), _u5309)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5307), _u5309), _u5308)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_rel__simps_I31_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_rel__simps_I31_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5312)), c_Int_OBit0(_u5314))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5312), _u5314)) )).
% 19.49/19.69 cnf(fact_rel__simps_I31_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5313), _u5315)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5313)), c_Int_OBit0(_u5315))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_less__eq__int__code_I13_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_less__eq__int__code_I13_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5318)), c_Int_OBit0(_u5320))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5318), _u5320)) )).
% 19.49/19.69 cnf(fact_less__eq__int__code_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5319), _u5321)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5319)), c_Int_OBit0(_u5321))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_less__int__code_I13_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_less__int__code_I13_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5324)), c_Int_OBit0(_u5326))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5324), _u5326)) )).
% 19.49/19.69 cnf(fact_less__int__code_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5325), _u5327)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5325)), c_Int_OBit0(_u5327))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_rel__simps_I14_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_rel__simps_I14_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5330)), c_Int_OBit0(_u5332))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5330), _u5332)) )).
% 19.49/19.69 cnf(fact_rel__simps_I14_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5331), _u5333)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5331)), c_Int_OBit0(_u5333))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zminus__0 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zminus__0-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Bit0__Pls ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Bit0__Pls-1, axiom, ( ( c_Int_OBit0(c_Int_OPls) = c_Int_OPls) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_rel__simps_I38_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_rel__simps_I38_J-1, axiom, ( ( c_Int_OPls != c_Int_OBit0(_u5335)) | ( c_Int_OPls = _u5335) )).
% 19.49/19.69 cnf(fact_rel__simps_I38_J-2, axiom, ( ( c_Int_OPls != _u5336) | ( c_Int_OPls = c_Int_OBit0(_u5336)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_rel__simps_I44_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_rel__simps_I44_J-1, axiom, ( ( c_Int_OBit0(_u5338) != c_Int_OPls) | ( _u5338 = c_Int_OPls) )).
% 19.49/19.69 cnf(fact_rel__simps_I44_J-2, axiom, ( ( _u5339 != c_Int_OPls) | ( c_Int_OBit0(_u5339) = c_Int_OPls) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_rel__simps_I49_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_rel__simps_I49_J-1, axiom, ( ( c_Int_OBit0(_u5340) != c_Int_OBit1(_u5341)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_rel__simps_I50_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_rel__simps_I50_J-1, axiom, ( ( c_Int_OBit1(_u5342) != c_Int_OBit0(_u5343)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Bit0__def ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Bit0__def-1, axiom, ( ( c_Int_OBit0(_u5344) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5344), _u5344)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_add__Bit0__Bit0 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_add__Bit0__Bit0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u5345)), c_Int_OBit0(_u5346)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5345), _u5346))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_minus__divide__left ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_minus__divide__left-1, axiom, ( ~class_Rings_Odivision__ring(_u5347) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5347), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5347), _u5348), _u5349)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5347), hAPP(c_Groups_Ouminus__class_Ouminus(_u5347), _u5348)), _u5349)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_minus__divide__right ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_minus__divide__right-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5350) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5350), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5350), _u5351), _u5352)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5350), _u5351), hAPP(c_Groups_Ouminus__class_Ouminus(_u5350), _u5352))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_minus__divide__divide ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_minus__divide__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u5353) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5353), hAPP(c_Groups_Ouminus__class_Ouminus(_u5353), _u5354)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5353), _u5355)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5353), _u5354), _u5355)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_mult__Bit0 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_mult__Bit0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit0(_u5356)), _u5357) = c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5356), _u5357))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__minus__cancel ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__minus__cancel-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5358) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5358), hAPP(c_Groups_Ouminus__class_Ouminus(_u5358), _u5359)) = hAPP(c_Groups_Oabs__class_Oabs(_u5358), _u5359)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_minus__Pls ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_minus__Pls-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls) = c_Int_OPls) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zminus__zadd__distrib ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zminus__zadd__distrib-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5360), _u5361)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5360)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5361))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_minus__numeral__code_I5_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_minus__numeral__code_I5_J-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5362)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5362))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_diff__bin__simps_I7_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_diff__bin__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u5363)), c_Int_OBit0(_u5364)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5363), _u5364))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zmult__zminus ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zmult__zminus-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5365)), _u5366) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5365), _u5366))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_neg__0__le__iff__le ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_neg__0__le__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5367) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5367), c_Groups_Ozero__class_Ozero(_u5367)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5367), _u5368))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5367), _u5368), c_Groups_Ozero__class_Ozero(_u5367))) )).
% 19.49/19.69 cnf(fact_neg__0__le__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5367) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5367), _u5368), c_Groups_Ozero__class_Ozero(_u5367))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5367), c_Groups_Ozero__class_Ozero(_u5367)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5367), _u5368))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_le__minus__self__iff ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_le__minus__self__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u5369) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5369), _u5370), hAPP(c_Groups_Ouminus__class_Ouminus(_u5369), _u5370))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5369), _u5370), c_Groups_Ozero__class_Ozero(_u5369))) )).
% 19.49/19.69 cnf(fact_le__minus__self__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u5369) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5369), _u5370), c_Groups_Ozero__class_Ozero(_u5369))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5369), _u5370), hAPP(c_Groups_Ouminus__class_Ouminus(_u5369), _u5370))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_neg__le__0__iff__le ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_neg__le__0__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5371) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5371), hAPP(c_Groups_Ouminus__class_Ouminus(_u5371), _u5372)), c_Groups_Ozero__class_Ozero(_u5371))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5371), c_Groups_Ozero__class_Ozero(_u5371)), _u5372)) )).
% 19.49/19.69 cnf(fact_neg__le__0__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5371) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5371), c_Groups_Ozero__class_Ozero(_u5371)), _u5372)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5371), hAPP(c_Groups_Ouminus__class_Ouminus(_u5371), _u5372)), c_Groups_Ozero__class_Ozero(_u5371))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_minus__le__self__iff ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_minus__le__self__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u5373) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5373), hAPP(c_Groups_Ouminus__class_Ouminus(_u5373), _u5374)), _u5374)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5373), c_Groups_Ozero__class_Ozero(_u5373)), _u5374)) )).
% 19.49/19.69 cnf(fact_minus__le__self__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u5373) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5373), c_Groups_Ozero__class_Ozero(_u5373)), _u5374)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5373), hAPP(c_Groups_Ouminus__class_Ouminus(_u5373), _u5374)), _u5374)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_less__minus__self__iff ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_less__minus__self__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u5375) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5375), _u5376), hAPP(c_Groups_Ouminus__class_Ouminus(_u5375), _u5376))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5375), _u5376), c_Groups_Ozero__class_Ozero(_u5375))) )).
% 19.49/19.69 cnf(fact_less__minus__self__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u5375) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5375), _u5376), c_Groups_Ozero__class_Ozero(_u5375))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5375), _u5376), hAPP(c_Groups_Ouminus__class_Ouminus(_u5375), _u5376))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_neg__0__less__iff__less ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_neg__0__less__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5377) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5377), c_Groups_Ozero__class_Ozero(_u5377)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5377), _u5378))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5377), _u5378), c_Groups_Ozero__class_Ozero(_u5377))) )).
% 19.49/19.69 cnf(fact_neg__0__less__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5377) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5377), _u5378), c_Groups_Ozero__class_Ozero(_u5377))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5377), c_Groups_Ozero__class_Ozero(_u5377)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5377), _u5378))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_neg__less__0__iff__less ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_neg__less__0__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5379) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5379), hAPP(c_Groups_Ouminus__class_Ouminus(_u5379), _u5380)), c_Groups_Ozero__class_Ozero(_u5379))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5379), c_Groups_Ozero__class_Ozero(_u5379)), _u5380)) )).
% 19.49/19.69 cnf(fact_neg__less__0__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u5379) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5379), c_Groups_Ozero__class_Ozero(_u5379)), _u5380)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5379), hAPP(c_Groups_Ouminus__class_Ouminus(_u5379), _u5380)), c_Groups_Ozero__class_Ozero(_u5379))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_neg__less__nonneg ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_neg__less__nonneg-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u5381) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5381), hAPP(c_Groups_Ouminus__class_Ouminus(_u5381), _u5382)), _u5382)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5381), c_Groups_Ozero__class_Ozero(_u5381)), _u5382)) )).
% 19.49/19.69 cnf(fact_neg__less__nonneg-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u5381) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5381), c_Groups_Ozero__class_Ozero(_u5381)), _u5382)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5381), hAPP(c_Groups_Ouminus__class_Ouminus(_u5381), _u5382)), _u5382)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_right__minus ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_right__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u5383) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5383), _u5384), hAPP(c_Groups_Ouminus__class_Ouminus(_u5383), _u5384)) = c_Groups_Ozero__class_Ozero(_u5383)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_eq__neg__iff__add__eq__0 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_eq__neg__iff__add__eq__0-1, axiom, ( ~class_Groups_Ogroup__add(_u5385) | ( _u5386 != hAPP(c_Groups_Ouminus__class_Ouminus(_u5385), _u5387)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5385), _u5386), _u5387) = c_Groups_Ozero__class_Ozero(_u5385)) )).
% 19.49/19.69 cnf(fact_eq__neg__iff__add__eq__0-2, axiom, ( ~class_Groups_Ogroup__add(_u5385) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5385), _u5386), _u5387) != c_Groups_Ozero__class_Ozero(_u5385)) | ( _u5386 = hAPP(c_Groups_Ouminus__class_Ouminus(_u5385), _u5387)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_left__minus ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_left__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u5388) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5388), hAPP(c_Groups_Ouminus__class_Ouminus(_u5388), _u5389)), _u5389) = c_Groups_Ozero__class_Ozero(_u5388)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_ab__left__minus ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_ab__left__minus-1, axiom, ( ~class_Groups_Oab__group__add(_u5390) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5390), hAPP(c_Groups_Ouminus__class_Ouminus(_u5390), _u5391)), _u5391) = c_Groups_Ozero__class_Ozero(_u5390)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_minus__unique ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_minus__unique-1, axiom, ( ~class_Groups_Ogroup__add(_u5392) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5392), _u5393), _u5394) != c_Groups_Ozero__class_Ozero(_u5392)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5392), _u5393) = _u5394) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_diff__0 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_diff__0-1, axiom, ( ~class_Groups_Ogroup__add(_u5395) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5395), c_Groups_Ozero__class_Ozero(_u5395)), _u5396) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5395), _u5396)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u5397) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5397), _u5398), _u5399) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5397), _u5398), hAPP(c_Groups_Ouminus__class_Ouminus(_u5397), _u5399))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_diff__minus__eq__add ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_diff__minus__eq__add-1, axiom, ( ~class_Groups_Ogroup__add(_u5400) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5400), _u5401), hAPP(c_Groups_Ouminus__class_Ouminus(_u5400), _u5402)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5400), _u5401), _u5402)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_ab__diff__minus ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_ab__diff__minus-1, axiom, ( ~class_Groups_Oab__group__add(_u5403) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5403), _u5404), _u5405) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5403), _u5404), hAPP(c_Groups_Ouminus__class_Ouminus(_u5403), _u5405))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_diff__def ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_diff__def-1, axiom, ( ~class_Groups_Ogroup__add(_u5406) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5406), _u5407), _u5408) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5406), _u5407), hAPP(c_Groups_Ouminus__class_Ouminus(_u5406), _u5408))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u5409) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5409), _u5410) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5409), hAPP(c_Groups_Ouminus__class_Ouminus(_u5409), c_Groups_Oone__class_Oone(_u5409))), _u5410)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_square__eq__1__iff ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_square__eq__1__iff-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u5411) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5411), _u5412), _u5412) != c_Groups_Oone__class_Oone(_u5411)) | ( _u5412 = c_Groups_Oone__class_Oone(_u5411)) | ( _u5412 = hAPP(c_Groups_Ouminus__class_Ouminus(_u5411), c_Groups_Oone__class_Oone(_u5411))) )).
% 19.49/19.69 cnf(fact_square__eq__1__iff-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u5411) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5411), _u5412), _u5412) = c_Groups_Oone__class_Oone(_u5411)) | ( _u5412 != c_Groups_Oone__class_Oone(_u5411)) )).
% 19.49/19.69 cnf(fact_square__eq__1__iff-3, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u5411) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5411), _u5412), _u5412) = c_Groups_Oone__class_Oone(_u5411)) | ( _u5412 != hAPP(c_Groups_Ouminus__class_Ouminus(_u5411), c_Groups_Oone__class_Oone(_u5411))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_compl__inf__bot ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_compl__inf__bot-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u5413) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5413), hAPP(c_Groups_Ouminus__class_Ouminus(_u5413), _u5414)), _u5414) = c_Orderings_Obot__class_Obot(_u5413)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_inf__compl__bot ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_inf__compl__bot-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u5415) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5415), _u5416), hAPP(c_Groups_Ouminus__class_Ouminus(_u5415), _u5416)) = c_Orderings_Obot__class_Obot(_u5415)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_diff__eq ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_diff__eq-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u5417) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5417), _u5418), _u5419) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5417), _u5418), hAPP(c_Groups_Ouminus__class_Ouminus(_u5417), _u5419))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_compl__sup ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_compl__sup-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u5420) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5420), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u5420), _u5421), _u5422)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5420), hAPP(c_Groups_Ouminus__class_Ouminus(_u5420), _u5421)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5420), _u5422))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_compl__inf ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_compl__inf-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u5423) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5423), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5423), _u5424), _u5425)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u5423), hAPP(c_Groups_Ouminus__class_Ouminus(_u5423), _u5424)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5423), _u5425))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_nonzero__minus__divide__right ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_nonzero__minus__divide__right-1, axiom, ( ~class_Rings_Odivision__ring(_u5426) | ( _u5427 = c_Groups_Ozero__class_Ozero(_u5426)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5426), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5426), _u5428), _u5427)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5426), _u5428), hAPP(c_Groups_Ouminus__class_Ouminus(_u5426), _u5427))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_nonzero__minus__divide__divide ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_nonzero__minus__divide__divide-1, axiom, ( ~class_Rings_Odivision__ring(_u5429) | ( _u5430 = c_Groups_Ozero__class_Ozero(_u5429)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5429), hAPP(c_Groups_Ouminus__class_Ouminus(_u5429), _u5431)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5429), _u5430)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5429), _u5431), _u5430)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__le__D2 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__le__D2-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5432) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5432), hAPP(c_Groups_Oabs__class_Oabs(_u5432), _u5433)), _u5434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5432), hAPP(c_Groups_Ouminus__class_Ouminus(_u5432), _u5433)), _u5434)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__leI ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__leI-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5435) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5435), _u5436), _u5437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5435), hAPP(c_Groups_Ouminus__class_Ouminus(_u5435), _u5436)), _u5437)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5435), hAPP(c_Groups_Oabs__class_Oabs(_u5435), _u5436)), _u5437)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__le__iff ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__le__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5438) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5438), hAPP(c_Groups_Oabs__class_Oabs(_u5438), _u5439)), _u5440)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5438), _u5439), _u5440)) )).
% 19.49/19.69 cnf(fact_abs__le__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5438) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5438), hAPP(c_Groups_Oabs__class_Oabs(_u5438), _u5439)), _u5440)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5438), hAPP(c_Groups_Ouminus__class_Ouminus(_u5438), _u5439)), _u5440)) )).
% 19.49/19.69 cnf(fact_abs__le__iff-3, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5438) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5438), _u5439), _u5440)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5438), hAPP(c_Groups_Ouminus__class_Ouminus(_u5438), _u5439)), _u5440)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5438), hAPP(c_Groups_Oabs__class_Oabs(_u5438), _u5439)), _u5440)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__ge__minus__self ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__ge__minus__self-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5441) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5441), hAPP(c_Groups_Ouminus__class_Ouminus(_u5441), _u5442)), hAPP(c_Groups_Oabs__class_Oabs(_u5441), _u5442))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__less__iff ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u5443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5443), hAPP(c_Groups_Oabs__class_Oabs(_u5443), _u5444)), _u5445)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5443), _u5444), _u5445)) )).
% 19.49/19.69 cnf(fact_abs__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u5443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5443), hAPP(c_Groups_Oabs__class_Oabs(_u5443), _u5444)), _u5445)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5443), hAPP(c_Groups_Ouminus__class_Ouminus(_u5443), _u5444)), _u5445)) )).
% 19.49/19.69 cnf(fact_abs__less__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u5443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5443), _u5444), _u5445)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5443), hAPP(c_Groups_Ouminus__class_Ouminus(_u5443), _u5444)), _u5445)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5443), hAPP(c_Groups_Oabs__class_Oabs(_u5443), _u5444)), _u5445)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_bin__less__0__simps_I3_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_bin__less__0__simps_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5447)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5447), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.49/19.69 cnf(fact_bin__less__0__simps_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5448), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5448)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_rel__simps_I27_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_rel__simps_I27_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5450)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5450), c_Int_OPls)) )).
% 19.49/19.69 cnf(fact_rel__simps_I27_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5451), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5451)), c_Int_OPls)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_rel__simps_I21_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_rel__simps_I21_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u5453))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5453)) )).
% 19.49/19.69 cnf(fact_rel__simps_I21_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5454)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u5454))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_less__eq__int__code_I14_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_less__eq__int__code_I14_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5457)), c_Int_OBit1(_u5459))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5457), _u5459)) )).
% 19.49/19.69 cnf(fact_less__eq__int__code_I14_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5458), _u5460)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5458)), c_Int_OBit1(_u5460))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_rel__simps_I32_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_rel__simps_I32_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5463)), c_Int_OBit1(_u5465))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5463), _u5465)) )).
% 19.49/19.69 cnf(fact_rel__simps_I32_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5464), _u5466)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5464)), c_Int_OBit1(_u5466))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_rel__simps_I4_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_rel__simps_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u5468))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u5468)) )).
% 19.49/19.69 cnf(fact_rel__simps_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u5469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u5469))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_rel__simps_I10_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_rel__simps_I10_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5471)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5471), c_Int_OPls)) )).
% 19.49/19.69 cnf(fact_rel__simps_I10_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5472), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5472)), c_Int_OPls)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_rel__simps_I16_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_rel__simps_I16_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5475)), c_Int_OBit0(_u5477))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5475), _u5477)) )).
% 19.49/19.69 cnf(fact_rel__simps_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5476), _u5478)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5476)), c_Int_OBit0(_u5478))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_less__int__code_I15_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_less__int__code_I15_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5481)), c_Int_OBit0(_u5483))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5481), _u5483)) )).
% 19.49/19.69 cnf(fact_less__int__code_I15_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5482), _u5484)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5482)), c_Int_OBit0(_u5484))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_add__Bit1__Bit0 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_add__Bit1__Bit0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u5485)), c_Int_OBit0(_u5486)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5485), _u5486))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_add__Bit0__Bit1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_add__Bit0__Bit1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u5487)), c_Int_OBit1(_u5488)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5487), _u5488))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zadd__zminus__inverse2 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zadd__zminus__inverse2-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5489)), _u5489) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_negative__eq__positive ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_negative__eq__positive-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5492)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5494)) | ( _u5492 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.69 cnf(fact_negative__eq__positive-2, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5492)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5494)) | ( _u5494 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.69 cnf(fact_negative__eq__positive-3, axiom, ( ( _u5493 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u5495 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5493)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5495)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_diff__bin__simps_I3_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_diff__bin__simps_I3_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u5496)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), _u5496))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_diff__bin__simps_I9_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_diff__bin__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u5497)), c_Int_OBit0(_u5498)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5497), _u5498))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_diff__bin__simps_I10_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_diff__bin__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u5499)), c_Int_OBit1(_u5500)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5499), _u5500))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_not__int__zless__negative ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_not__int__zless__negative-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5501)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5502)))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_diff__int__def__symmetric ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_diff__int__def__symmetric-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5503), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5504)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5503), _u5504)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_diff__int__def ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_diff__int__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5505), _u5506) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5505), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5506))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Ints__minus ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Ints__minus-1, axiom, ( ~class_Rings_Oring__1(_u5507) | ~hBOOL(hAPP(hAPP(c_member(_u5507), _u5508), c_Int_Oring__1__class_OInts(_u5507))) | hBOOL(hAPP(hAPP(c_member(_u5507), hAPP(c_Groups_Ouminus__class_Ouminus(_u5507), _u5508)), c_Int_Oring__1__class_OInts(_u5507))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_neg__number__of__Bit0 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_neg__number__of__Bit0-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5510)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5510))) )).
% 19.49/19.69 cnf(fact_neg__number__of__Bit0-2, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5511))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5511)))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_pred__Bit0 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_pred__Bit0-1, axiom, ( ( c_Int_Opred(c_Int_OBit0(_u5512)) = c_Int_OBit1(c_Int_Opred(_u5512))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_pred__Bit1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_pred__Bit1-1, axiom, ( ( c_Int_Opred(c_Int_OBit1(_u5513)) = c_Int_OBit0(_u5513)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_minus__Bit1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_minus__Bit1-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(_u5514)) = c_Int_OBit1(c_Int_Opred(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5514)))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_succ__Bit1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_succ__Bit1-1, axiom, ( ( c_Int_Osucc(c_Int_OBit1(_u5515)) = c_Int_OBit0(c_Int_Osucc(_u5515))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_succ__Bit0 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_succ__Bit0-1, axiom, ( ( c_Int_Osucc(c_Int_OBit0(_u5516)) = c_Int_OBit1(_u5516)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_number__of__Bit0 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u5517) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5517), c_Int_OBit0(_u5518)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5517), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5517), c_Groups_Ozero__class_Ozero(_u5517)), hAPP(c_Int_Onumber__class_Onumber__of(_u5517), _u5518))), hAPP(c_Int_Onumber__class_Onumber__of(_u5517), _u5518))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__of__nonpos ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__of__nonpos-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5519) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5520), c_Groups_Ozero__class_Ozero(_u5519))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5519), _u5520) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5519), _u5520)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__minus__le__zero ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__minus__le__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5521) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5521), hAPP(c_Groups_Ouminus__class_Ouminus(_u5521), hAPP(c_Groups_Oabs__class_Oabs(_u5521), _u5522))), c_Groups_Ozero__class_Ozero(_u5521))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__of__neg ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__of__neg-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5523) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5523), _u5524), c_Groups_Ozero__class_Ozero(_u5523))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5523), _u5524) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5523), _u5524)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__if ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__if-1, axiom, ( ~class_Groups_Oabs__if(_u5525) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5525), _u5526), c_Groups_Ozero__class_Ozero(_u5525))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5525), _u5526) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5525), _u5526)) )).
% 19.49/19.69 cnf(fact_abs__if-2, axiom, ( ~class_Groups_Oabs__if(_u5525) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5525), _u5526), c_Groups_Ozero__class_Ozero(_u5525))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5525), _u5526) = _u5526) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_less__eq__int__code_I15_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_less__eq__int__code_I15_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5529)), c_Int_OBit0(_u5531))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5529), _u5531)) )).
% 19.49/19.69 cnf(fact_less__eq__int__code_I15_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5530), _u5532)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5530)), c_Int_OBit0(_u5532))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_rel__simps_I33_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_rel__simps_I33_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5535)), c_Int_OBit0(_u5537))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5535), _u5537)) )).
% 19.49/19.69 cnf(fact_rel__simps_I33_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5536), _u5538)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5536)), c_Int_OBit0(_u5538))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_less__int__code_I14_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_less__int__code_I14_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5541)), c_Int_OBit1(_u5543))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5541), _u5543)) )).
% 19.49/19.69 cnf(fact_less__int__code_I14_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5542), _u5544)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5542)), c_Int_OBit1(_u5544))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_rel__simps_I15_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_rel__simps_I15_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5547)), c_Int_OBit1(_u5549))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5547), _u5549)) )).
% 19.49/19.69 cnf(fact_rel__simps_I15_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5548), _u5550)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5548)), c_Int_OBit1(_u5550))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_diff__number__of__eq ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_diff__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u5551) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5551), hAPP(c_Int_Onumber__class_Onumber__of(_u5551), _u5552)), hAPP(c_Int_Onumber__class_Onumber__of(_u5551), _u5553)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5551), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5552), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5553)))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_mult__Bit1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_mult__Bit1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit1(_u5554)), _u5555) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5554), _u5555))), _u5555)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_int__zle__neg ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_int__zle__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5558)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5560)))) | ( _u5558 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.69 cnf(fact_int__zle__neg-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5558)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5560)))) | ( _u5560 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.49/19.69 cnf(fact_int__zle__neg-3, axiom, ( ( _u5559 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u5561 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5559)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5561)))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_negative__zle__0 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_negative__zle__0-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5562))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_minus__numeral__code_I6_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_minus__numeral__code_I6_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5563)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5564)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5563), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5564)))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zabs__def ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zabs__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5566), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u5566) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5566)) )).
% 19.49/19.69 cnf(fact_zabs__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5567), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u5567) = _u5567) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_neg__zminus__int ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_neg__zminus__int-1, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u5568))))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_diff__bin__simps_I8_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_diff__bin__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u5569)), c_Int_OBit1(_u5570)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_Opred(_u5569)), _u5570))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_add__Bit1__Bit1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_add__Bit1__Bit1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u5571)), c_Int_OBit1(_u5572)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5571), c_Int_Osucc(_u5572)))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zero__code__numeral__code ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zero__code__numeral__code-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OPls)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_double__number__of__Bit0 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_double__number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u5573) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5573), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5573), c_Groups_Oone__class_Oone(_u5573)), c_Groups_Oone__class_Oone(_u5573))), hAPP(c_Int_Onumber__class_Onumber__of(_u5573), _u5574)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5573), c_Int_OBit0(_u5574))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_abs__number__of ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_abs__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u5575) | ~class_Rings_Olinordered__idom(_u5575) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5575), hAPP(c_Int_Onumber__class_Onumber__of(_u5575), _u5576)), c_Groups_Ozero__class_Ozero(_u5575))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5575), hAPP(c_Int_Onumber__class_Onumber__of(_u5575), _u5576)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5575), hAPP(c_Int_Onumber__class_Onumber__of(_u5575), _u5576))) )).
% 19.49/19.69 cnf(fact_abs__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u5575) | ~class_Rings_Olinordered__idom(_u5575) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5575), hAPP(c_Int_Onumber__class_Onumber__of(_u5575), _u5576)), c_Groups_Ozero__class_Ozero(_u5575))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5575), hAPP(c_Int_Onumber__class_Onumber__of(_u5575), _u5576)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5575), _u5576)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_add__number__of__diff2 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_add__number__of__diff2-1, axiom, ( ~class_Int_Onumber__ring(_u5577) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5577), hAPP(c_Int_Onumber__class_Onumber__of(_u5577), _u5578)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5577), _u5579), hAPP(c_Int_Onumber__class_Onumber__of(_u5577), _u5580))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5577), hAPP(c_Int_Onumber__class_Onumber__of(_u5577), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5578), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5580)))), _u5579)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_number__of1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_number__of1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5581))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5581)))) )).
% 19.49/19.69 cnf(fact_number__of1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5581))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u5581)))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_number__of__pred ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_number__of__pred-1, axiom, ( ~class_Int_Onumber__ring(_u5582) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5582), c_Int_Opred(_u5583)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5582), hAPP(c_Groups_Ouminus__class_Ouminus(_u5582), c_Groups_Oone__class_Oone(_u5582))), hAPP(c_Int_Onumber__class_Onumber__of(_u5582), _u5583))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_not__zle__0__negative ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_not__zle__0__negative-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u5584))))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_negative__zless__0 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_negative__zless__0-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u5585)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_mult__2 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_mult__2-1, axiom, ( ~class_Int_Onumber__ring(_u5586) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5586), hAPP(c_Int_Onumber__class_Onumber__of(_u5586), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5587) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5586), _u5587), _u5587)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_mult__2__right ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_mult__2__right-1, axiom, ( ~class_Int_Onumber__ring(_u5588) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5588), _u5589), hAPP(c_Int_Onumber__class_Onumber__of(_u5588), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5588), _u5589), _u5589)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_one__add__one__is__two ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_one__add__one__is__two-1, axiom, ( ~class_Int_Onumber__ring(_u5590) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5590), c_Groups_Oone__class_Oone(_u5590)), c_Groups_Oone__class_Oone(_u5590)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5590), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_numeral__2__eq__2 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_numeral__2__eq__2-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_semiring__norm_I115_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_semiring__norm_I115_J-1, axiom, ( ( hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_add__2__eq__Suc ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_add__2__eq__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5591) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u5591))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_add__2__eq__Suc_H ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_add__2__eq__Suc_H-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5592), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u5592))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_nat__mult__2 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_nat__mult__2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5593) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5593), _u5593)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_nat__mult__2__right ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_nat__mult__2__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5594), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5594), _u5594)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_transfer__int__nat__numerals_I3_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_transfer__int__nat__numerals_I3_J-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_nat__1__add__1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_nat__1__add__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_eq__special_I4_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_eq__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u5595) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596) != c_Groups_Oone__class_Oone(_u5595)) | c_Int_Oiszero(_u5595, hAPP(c_Int_Onumber__class_Onumber__of(_u5595), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5596), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 19.49/19.69 cnf(fact_eq__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u5595) | ~c_Int_Oiszero(_u5595, hAPP(c_Int_Onumber__class_Onumber__of(_u5595), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5596), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596) = c_Groups_Oone__class_Oone(_u5595)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_eq__special_I2_J ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_eq__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u5597) | ( c_Groups_Oone__class_Oone(_u5597) != hAPP(c_Int_Onumber__class_Onumber__of(_u5597), _u5598)) | c_Int_Oiszero(_u5597, hAPP(c_Int_Onumber__class_Onumber__of(_u5597), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5598)))) )).
% 19.49/19.69 cnf(fact_eq__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u5597) | ~c_Int_Oiszero(_u5597, hAPP(c_Int_Onumber__class_Onumber__of(_u5597), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5598)))) | ( c_Groups_Oone__class_Oone(_u5597) = hAPP(c_Int_Onumber__class_Onumber__of(_u5597), _u5598)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_neg__zmod__mult__2 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_neg__zmod__mult__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5599), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5600)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5599)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5600), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u5599))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zmod__number__of__Bit1 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zmod__number__of__Bit1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5603))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u5605)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5603))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5605), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5603)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 19.49/19.69 cnf(fact_zmod__number__of__Bit1-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5604))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u5606)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5604))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5606)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5604)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_pos__zmod__mult__2 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_pos__zmod__mult__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5607)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5608)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5607)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5608, _u5607)))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_neg__zdiv__mult__2 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_neg__zdiv__mult__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5609), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5610))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5609)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5610), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5609)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_ComplI ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_ComplI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u5611), _u5612), _u5613)) | hBOOL(hAPP(hAPP(c_member(_u5611), _u5612), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5611, tc_HOL_Obool)), _u5613))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zmod__zdiv__trivial ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zmod__zdiv__trivial-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5614, _u5615)), _u5615) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_mod__div__trivial ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_mod__div__trivial-1, axiom, ( ~class_Divides_Osemiring__div(_u5616) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5616), c_Divides_Odiv__class_Omod(_u5616, _u5617, _u5618)), _u5618) = c_Groups_Ozero__class_Ozero(_u5616)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_DIVISION__BY__ZERO ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_DIVISION__BY__ZERO-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5620), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.49/19.69 cnf(fact_DIVISION__BY__ZERO-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5621, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u5621) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_mod__mod__trivial ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_mod__mod__trivial-1, axiom, ( ~class_Divides_Osemiring__div(_u5622) | ( c_Divides_Odiv__class_Omod(_u5622, c_Divides_Odiv__class_Omod(_u5622, _u5623, _u5624), _u5624) = c_Divides_Odiv__class_Omod(_u5622, _u5623, _u5624)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zdiv__zadd1__eq ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zdiv__zadd1__eq-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5625), _u5626)), _u5627) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5625), _u5627)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5626), _u5627))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5625, _u5627)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5626, _u5627))), _u5627))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_div__mod__equality ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_div__mod__equality-1, axiom, ( ~class_Divides_Osemiring__div(_u5628) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5628), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5628), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5628), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5628), _u5629), _u5630)), _u5630)), c_Divides_Odiv__class_Omod(_u5628, _u5629, _u5630))), _u5631) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5628), _u5629), _u5631)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_div__mod__equality2 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_div__mod__equality2-1, axiom, ( ~class_Divides_Osemiring__div(_u5632) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5632), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5632), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5632), _u5633), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5632), _u5634), _u5633))), c_Divides_Odiv__class_Omod(_u5632, _u5634, _u5633))), _u5635) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5632), _u5634), _u5635)) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_mod__div__equality ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_mod__div__equality-1, axiom, ( ~class_Divides_Osemiring__div(_u5636) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5636), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5636), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5636), _u5637), _u5638)), _u5638)), c_Divides_Odiv__class_Omod(_u5636, _u5637, _u5638)) = _u5637) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_mod__div__equality2 ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_mod__div__equality2-1, axiom, ( ~class_Divides_Osemiring__div(_u5639) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5639), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5639), _u5640), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5639), _u5641), _u5640))), c_Divides_Odiv__class_Omod(_u5639, _u5641, _u5640)) = _u5641) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_semiring__div__class_Omod__div__equality_H ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_semiring__div__class_Omod__div__equality_H-1, axiom, ( ~class_Divides_Osemiring__div(_u5642) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5642), c_Divides_Odiv__class_Omod(_u5642, _u5643, _u5644)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5642), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5642), _u5643), _u5644)), _u5644)) = _u5643) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zmod__zdiv__equality ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zmod__zdiv__equality-1, axiom, ( ( _u5645 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5646), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5645), _u5646))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5645, _u5646))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zdiv__zmult1__eq ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zdiv__zmult1__eq-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5647), _u5648)), _u5649) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5647), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5648), _u5649))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5647), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5648, _u5649))), _u5649))) )).
% 19.49/19.69
% 19.49/19.69 % Formula: fact_zdiv__zmod__equality ( axiom ) converted to clauses:
% 19.49/19.69 cnf(fact_zdiv__zmod__equality-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5650), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5651), _u5650))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5651, _u5650))), _u5652) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5651), _u5652)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_zdiv__zmod__equality2 ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_zdiv__zmod__equality2-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5653), _u5654)), _u5654)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5653, _u5654))), _u5655) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5653), _u5655)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_zmod__zdiv__equality_H ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_zmod__zdiv__equality_H-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5656, _u5657) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5656), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5656), _u5657)), _u5657))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_zmult__div__cancel ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_zmult__div__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5658), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5659), _u5658)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5659), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5659, _u5658))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_mod__0 ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_mod__0-1, axiom, ( ~class_Divides_Osemiring__div(_u5660) | ( c_Divides_Odiv__class_Omod(_u5660, c_Groups_Ozero__class_Ozero(_u5660), _u5661) = c_Groups_Ozero__class_Ozero(_u5660)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_mod__by__0 ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_mod__by__0-1, axiom, ( ~class_Divides_Osemiring__div(_u5662) | ( c_Divides_Odiv__class_Omod(_u5662, _u5663, c_Groups_Ozero__class_Ozero(_u5662)) = _u5663) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_mod__self ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_mod__self-1, axiom, ( ~class_Divides_Osemiring__div(_u5664) | ( c_Divides_Odiv__class_Omod(_u5664, _u5665, _u5665) = c_Groups_Ozero__class_Ozero(_u5664)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_mod__add__cong ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_mod__add__cong-1, axiom, ( ~class_Divides_Osemiring__div(_u5666) | ( c_Divides_Odiv__class_Omod(_u5666, _u5667, _u5668) != c_Divides_Odiv__class_Omod(_u5666, _u5669, _u5668)) | ( c_Divides_Odiv__class_Omod(_u5666, _u5670, _u5668) != c_Divides_Odiv__class_Omod(_u5666, _u5671, _u5668)) | ( c_Divides_Odiv__class_Omod(_u5666, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5666), _u5667), _u5670), _u5668) = c_Divides_Odiv__class_Omod(_u5666, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5666), _u5669), _u5671), _u5668)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_zmod__simps_I1_J ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_zmod__simps_I1_J-1, axiom, ( ~class_Divides_Osemiring__div(_u5672) | ( c_Divides_Odiv__class_Omod(_u5672, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5672), c_Divides_Odiv__class_Omod(_u5672, _u5673, _u5674)), _u5675), _u5674) = c_Divides_Odiv__class_Omod(_u5672, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5672), _u5673), _u5675), _u5674)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_zmod__simps_I2_J ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_zmod__simps_I2_J-1, axiom, ( ~class_Divides_Osemiring__div(_u5676) | ( c_Divides_Odiv__class_Omod(_u5676, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5676), _u5677), c_Divides_Odiv__class_Omod(_u5676, _u5678, _u5679)), _u5679) = c_Divides_Odiv__class_Omod(_u5676, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5676), _u5677), _u5678), _u5679)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_mod__add__eq ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_mod__add__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u5680) | ( c_Divides_Odiv__class_Omod(_u5680, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5680), _u5681), _u5682), _u5683) = c_Divides_Odiv__class_Omod(_u5680, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5680), c_Divides_Odiv__class_Omod(_u5680, _u5681, _u5683)), c_Divides_Odiv__class_Omod(_u5680, _u5682, _u5683)), _u5683)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_mod__add__left__eq ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_mod__add__left__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u5684) | ( c_Divides_Odiv__class_Omod(_u5684, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5684), _u5685), _u5686), _u5687) = c_Divides_Odiv__class_Omod(_u5684, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5684), c_Divides_Odiv__class_Omod(_u5684, _u5685, _u5687)), _u5686), _u5687)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_mod__add__right__eq ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_mod__add__right__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u5688) | ( c_Divides_Odiv__class_Omod(_u5688, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5688), _u5689), _u5690), _u5691) = c_Divides_Odiv__class_Omod(_u5688, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5688), _u5689), c_Divides_Odiv__class_Omod(_u5688, _u5690, _u5691)), _u5691)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_mod__add__self1 ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_mod__add__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u5692) | ( c_Divides_Odiv__class_Omod(_u5692, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5692), _u5693), _u5694), _u5693) = c_Divides_Odiv__class_Omod(_u5692, _u5694, _u5693)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_mod__add__self2 ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_mod__add__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u5695) | ( c_Divides_Odiv__class_Omod(_u5695, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5695), _u5696), _u5697), _u5697) = c_Divides_Odiv__class_Omod(_u5695, _u5696, _u5697)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_mod__mult__cong ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_mod__mult__cong-1, axiom, ( ~class_Divides_Osemiring__div(_u5698) | ( c_Divides_Odiv__class_Omod(_u5698, _u5699, _u5700) != c_Divides_Odiv__class_Omod(_u5698, _u5701, _u5700)) | ( c_Divides_Odiv__class_Omod(_u5698, _u5702, _u5700) != c_Divides_Odiv__class_Omod(_u5698, _u5703, _u5700)) | ( c_Divides_Odiv__class_Omod(_u5698, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5698), _u5699), _u5702), _u5700) = c_Divides_Odiv__class_Omod(_u5698, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5698), _u5701), _u5703), _u5700)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_zmod__simps_I4_J ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_zmod__simps_I4_J-1, axiom, ( ~class_Divides_Osemiring__div(_u5704) | ( c_Divides_Odiv__class_Omod(_u5704, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5704), c_Divides_Odiv__class_Omod(_u5704, _u5705, _u5706)), _u5707), _u5706) = c_Divides_Odiv__class_Omod(_u5704, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5704), _u5705), _u5707), _u5706)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_mod__mult__mult2 ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_mod__mult__mult2-1, axiom, ( ~class_Divides_Osemiring__div(_u5708) | ( c_Divides_Odiv__class_Omod(_u5708, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5708), _u5709), _u5710), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5708), _u5711), _u5710)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5708), c_Divides_Odiv__class_Omod(_u5708, _u5709, _u5711)), _u5710)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_mod__mult__mult1 ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_mod__mult__mult1-1, axiom, ( ~class_Divides_Osemiring__div(_u5712) | ( c_Divides_Odiv__class_Omod(_u5712, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5712), _u5713), _u5714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5712), _u5713), _u5715)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5712), _u5713), c_Divides_Odiv__class_Omod(_u5712, _u5714, _u5715))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_mod__mult__eq ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_mod__mult__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u5716) | ( c_Divides_Odiv__class_Omod(_u5716, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5716), _u5717), _u5718), _u5719) = c_Divides_Odiv__class_Omod(_u5716, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5716), c_Divides_Odiv__class_Omod(_u5716, _u5717, _u5719)), c_Divides_Odiv__class_Omod(_u5716, _u5718, _u5719)), _u5719)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_mod__mult__left__eq ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_mod__mult__left__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u5720) | ( c_Divides_Odiv__class_Omod(_u5720, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5720), _u5721), _u5722), _u5723) = c_Divides_Odiv__class_Omod(_u5720, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5720), c_Divides_Odiv__class_Omod(_u5720, _u5721, _u5723)), _u5722), _u5723)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_mod__mult__right__eq ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_mod__mult__right__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u5724) | ( c_Divides_Odiv__class_Omod(_u5724, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5724), _u5725), _u5726), _u5727) = c_Divides_Odiv__class_Omod(_u5724, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5724), _u5725), c_Divides_Odiv__class_Omod(_u5724, _u5726, _u5727)), _u5727)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_mod__diff__right__eq ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_mod__diff__right__eq-1, axiom, ( ~class_Divides_Oring__div(_u5728) | ( c_Divides_Odiv__class_Omod(_u5728, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5728), _u5729), _u5730), _u5731) = c_Divides_Odiv__class_Omod(_u5728, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5728), _u5729), c_Divides_Odiv__class_Omod(_u5728, _u5730, _u5731)), _u5731)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_mod__diff__left__eq ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_mod__diff__left__eq-1, axiom, ( ~class_Divides_Oring__div(_u5732) | ( c_Divides_Odiv__class_Omod(_u5732, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5732), _u5733), _u5734), _u5735) = c_Divides_Odiv__class_Omod(_u5732, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5732), c_Divides_Odiv__class_Omod(_u5732, _u5733, _u5735)), _u5734), _u5735)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_mod__diff__eq ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_mod__diff__eq-1, axiom, ( ~class_Divides_Oring__div(_u5736) | ( c_Divides_Odiv__class_Omod(_u5736, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5736), _u5737), _u5738), _u5739) = c_Divides_Odiv__class_Omod(_u5736, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5736), c_Divides_Odiv__class_Omod(_u5736, _u5737, _u5739)), c_Divides_Odiv__class_Omod(_u5736, _u5738, _u5739)), _u5739)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_mod__diff__cong ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_mod__diff__cong-1, axiom, ( ~class_Divides_Oring__div(_u5740) | ( c_Divides_Odiv__class_Omod(_u5740, _u5741, _u5742) != c_Divides_Odiv__class_Omod(_u5740, _u5743, _u5742)) | ( c_Divides_Odiv__class_Omod(_u5740, _u5744, _u5742) != c_Divides_Odiv__class_Omod(_u5740, _u5745, _u5742)) | ( c_Divides_Odiv__class_Omod(_u5740, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5740), _u5741), _u5744), _u5742) = c_Divides_Odiv__class_Omod(_u5740, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5740), _u5743), _u5745), _u5742)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_mod__minus__cong ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_mod__minus__cong-1, axiom, ( ~class_Divides_Oring__div(_u5746) | ( c_Divides_Odiv__class_Omod(_u5746, _u5747, _u5748) != c_Divides_Odiv__class_Omod(_u5746, _u5749, _u5748)) | ( c_Divides_Odiv__class_Omod(_u5746, hAPP(c_Groups_Ouminus__class_Ouminus(_u5746), _u5747), _u5748) = c_Divides_Odiv__class_Omod(_u5746, hAPP(c_Groups_Ouminus__class_Ouminus(_u5746), _u5749), _u5748)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_mod__minus__eq ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_mod__minus__eq-1, axiom, ( ~class_Divides_Oring__div(_u5750) | ( c_Divides_Odiv__class_Omod(_u5750, hAPP(c_Groups_Ouminus__class_Ouminus(_u5750), _u5751), _u5752) = c_Divides_Odiv__class_Omod(_u5750, hAPP(c_Groups_Ouminus__class_Ouminus(_u5750), c_Divides_Odiv__class_Omod(_u5750, _u5751, _u5752)), _u5752)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_ComplE ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_ComplE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u5753), _u5754), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5753, tc_HOL_Obool)), _u5755))) | ~hBOOL(hAPP(hAPP(c_member(_u5753), _u5754), _u5755)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_ComplD ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_ComplD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u5756), _u5757), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5756, tc_HOL_Obool)), _u5758))) | ~hBOOL(hAPP(hAPP(c_member(_u5756), _u5757), _u5758)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_Compl__iff ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_Compl__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u5762), _u5764), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5762, tc_HOL_Obool)), _u5766))) | ~hBOOL(hAPP(hAPP(c_member(_u5762), _u5764), _u5766)) )).
% 19.51/19.69 cnf(fact_Compl__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u5763), _u5765), _u5767)) | hBOOL(hAPP(hAPP(c_member(_u5763), _u5765), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5763, tc_HOL_Obool)), _u5767))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_zdiv__zero ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_zdiv__zero-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5768) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_zmod__zero ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_zmod__zero-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u5769) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_zmod__self ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_zmod__self-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5770, _u5770) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_Compl__anti__mono ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_Compl__anti__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5771, tc_HOL_Obool)), _u5772), _u5773)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5771, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5771, tc_HOL_Obool)), _u5773)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5771, tc_HOL_Obool)), _u5772))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_Compl__subset__Compl__iff ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_Compl__subset__Compl__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5777, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5777, tc_HOL_Obool)), _u5779)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5777, tc_HOL_Obool)), _u5781))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5777, tc_HOL_Obool)), _u5781), _u5779)) )).
% 19.51/19.69 cnf(fact_Compl__subset__Compl__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5778, tc_HOL_Obool)), _u5782), _u5780)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5778, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5778, tc_HOL_Obool)), _u5780)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5778, tc_HOL_Obool)), _u5782))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_zdiv__zminus__zminus ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_zdiv__zminus__zminus-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5783)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5784)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5783), _u5784)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_zdiv__zminus2 ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_zdiv__zminus2-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5785), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5786)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5785)), _u5786)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_zmod__simps_I3_J ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_zmod__simps_I3_J-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5787), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5788, _u5789)), _u5789) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5787), _u5788), _u5789)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_zmod__zmult1__eq ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_zmod__zmult1__eq-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5790), _u5791), _u5792) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5790), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5791, _u5792)), _u5792)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_zdiff__zmod__right ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_zdiff__zmod__right-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5793), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5794, _u5795)), _u5795) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5793), _u5794), _u5795)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_zdiff__zmod__left ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_zdiff__zmod__left-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5796, _u5797)), _u5798), _u5797) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5796), _u5798), _u5797)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_zminus__zmod ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_zminus__zmod-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5799, _u5800)), _u5800) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5799), _u5800)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_zmod__zminus__zminus ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_zmod__zminus__zminus-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5801), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5802)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5801, _u5802))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_zmod__zminus2 ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_zmod__zminus2-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5803, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5804)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5803), _u5804))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_div__0 ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_div__0-1, axiom, ( ~class_Divides_Osemiring__div(_u5805) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5805), c_Groups_Ozero__class_Ozero(_u5805)), _u5806) = c_Groups_Ozero__class_Ozero(_u5805)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_div__by__0 ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_div__by__0-1, axiom, ( ~class_Divides_Osemiring__div(_u5807) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5807), _u5808), c_Groups_Ozero__class_Ozero(_u5807)) = c_Groups_Ozero__class_Ozero(_u5807)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_div__by__1 ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_div__by__1-1, axiom, ( ~class_Divides_Osemiring__div(_u5809) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5809), _u5810), c_Groups_Oone__class_Oone(_u5809)) = _u5810) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_mod__mult__self2__is__0 ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_mod__mult__self2__is__0-1, axiom, ( ~class_Divides_Osemiring__div(_u5811) | ( c_Divides_Odiv__class_Omod(_u5811, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5811), _u5812), _u5813), _u5813) = c_Groups_Ozero__class_Ozero(_u5811)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_mod__mult__self1__is__0 ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_mod__mult__self1__is__0-1, axiom, ( ~class_Divides_Osemiring__div(_u5814) | ( c_Divides_Odiv__class_Omod(_u5814, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5814), _u5815), _u5816), _u5815) = c_Groups_Ozero__class_Ozero(_u5814)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_zmod__zmult2__eq ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_zmod__zmult2__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5817)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5818, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5819), _u5817)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5819), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5818), _u5819), _u5817))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5818, _u5819))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_mod__mult__self1 ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_mod__mult__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u5820) | ( c_Divides_Odiv__class_Omod(_u5820, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5820), _u5821), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5820), _u5822), _u5823)), _u5823) = c_Divides_Odiv__class_Omod(_u5820, _u5821, _u5823)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_mod__mult__self2 ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_mod__mult__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u5824) | ( c_Divides_Odiv__class_Omod(_u5824, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5824), _u5825), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5824), _u5826), _u5827)), _u5826) = c_Divides_Odiv__class_Omod(_u5824, _u5825, _u5826)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_mod__by__1 ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_mod__by__1-1, axiom, ( ~class_Divides_Osemiring__div(_u5828) | ( c_Divides_Odiv__class_Omod(_u5828, _u5829, c_Groups_Oone__class_Oone(_u5828)) = c_Groups_Ozero__class_Ozero(_u5828)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_zdiv__zminus1__eq__if ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_zdiv__zminus1__eq__if-1, axiom, ( ( _u5830 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5831, _u5830) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5831)), _u5830) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5831), _u5830))) )).
% 19.51/19.69 cnf(fact_zdiv__zminus1__eq__if-2, axiom, ( ( _u5830 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5831, _u5830) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5831)), _u5830) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5831), _u5830))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_zdiv__zminus2__eq__if ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_zdiv__zminus2__eq__if-1, axiom, ( ( _u5832 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5833, _u5832) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5833), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5832)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5833), _u5832))) )).
% 19.51/19.69 cnf(fact_zdiv__zminus2__eq__if-2, axiom, ( ( _u5832 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5833, _u5832) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5833), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5832)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5833), _u5832))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_iszero__0 ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_iszero__0-1, axiom, ( ~class_Rings_Osemiring__1(_u5834) | c_Int_Oiszero(_u5834, c_Groups_Ozero__class_Ozero(_u5834)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_iszero__def ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_iszero__def-1, axiom, ( ~class_Rings_Osemiring__1(_u5835) | ~c_Int_Oiszero(_u5835, _u5836) | ( _u5836 = c_Groups_Ozero__class_Ozero(_u5835)) )).
% 19.51/19.69 cnf(fact_iszero__def-2, axiom, ( ~class_Rings_Osemiring__1(_u5835) | ( _u5836 != c_Groups_Ozero__class_Ozero(_u5835)) | c_Int_Oiszero(_u5835, _u5836) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_Divides_Otransfer__nat__int__function__closures_I1_J ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_Divides_Otransfer__nat__int__function__closures_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5837)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5838)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5837), _u5838))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_not__iszero__1 ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_not__iszero__1-1, axiom, ( ~class_Rings_Osemiring__1(_u5839) | ~c_Int_Oiszero(_u5839, c_Groups_Oone__class_Oone(_u5839)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_pos__imp__zdiv__neg__iff ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_pos__imp__zdiv__neg__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5840)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5841), _u5840)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5841), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.69 cnf(fact_pos__imp__zdiv__neg__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5840)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5841), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5841), _u5840)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_neg__imp__zdiv__neg__iff ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_neg__imp__zdiv__neg__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5842), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5843), _u5842)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5843)) )).
% 19.51/19.69 cnf(fact_neg__imp__zdiv__neg__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5842), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5843)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5843), _u5842)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_div__neg__pos__less0 ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_div__neg__pos__less0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5844), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5845)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5844), _u5845)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_zdiv__self ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_zdiv__self-1, axiom, ( ( _u5846 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5846), _u5846) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_subset__Compl__self__eq ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_subset__Compl__self__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5849, tc_HOL_Obool)), _u5851), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5849, tc_HOL_Obool)), _u5851))) | ( _u5851 = c_Orderings_Obot__class_Obot(tc_fun(_u5849, tc_HOL_Obool))) )).
% 19.51/19.69 cnf(fact_subset__Compl__self__eq-2, axiom, ( ( _u5852 != c_Orderings_Obot__class_Obot(tc_fun(_u5850, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5850, tc_HOL_Obool)), _u5852), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5850, tc_HOL_Obool)), _u5852))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_Divides_Otransfer__nat__int__function__closures_I2_J ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_Divides_Otransfer__nat__int__function__closures_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5853)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5854)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5853, _u5854))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_zmod__le__nonneg__dividend ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_zmod__le__nonneg__dividend-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5855)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5855, _u5856)), _u5855)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_pos__mod__bound ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_pos__mod__bound-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5857)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5858, _u5857)), _u5857)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_neg__mod__bound ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_neg__mod__bound-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5859), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5859), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5860, _u5859))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_Compl__disjoint ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_Compl__disjoint-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5861, tc_HOL_Obool)), _u5862), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5861, tc_HOL_Obool)), _u5862)) = c_Orderings_Obot__class_Obot(tc_fun(_u5861, tc_HOL_Obool))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_Compl__disjoint2 ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_Compl__disjoint2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5863, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5863, tc_HOL_Obool)), _u5864)), _u5864) = c_Orderings_Obot__class_Obot(tc_fun(_u5863, tc_HOL_Obool))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_zdiv__number__of__Bit0 ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_zdiv__number__of__Bit0-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5865))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5866))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5865)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5866))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_zmod__eq__0__iff ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_zmod__eq__0__iff-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5871, _u5873) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5871 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5873), skolem111(_u5873, _u5871))) )).
% 19.51/19.69 cnf(fact_zmod__eq__0__iff-2, axiom, ( ( _u5872 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5874), _u5868)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5872, _u5874) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_Compl__Un ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_Compl__Un-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5875, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5875, tc_HOL_Obool)), _u5876), _u5877)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5875, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5875, tc_HOL_Obool)), _u5876)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5875, tc_HOL_Obool)), _u5877))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_Compl__Int ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_Compl__Int-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5878, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5878, tc_HOL_Obool)), _u5879), _u5880)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5878, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5878, tc_HOL_Obool)), _u5879)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5878, tc_HOL_Obool)), _u5880))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_zmod__zminus1__not__zero ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_zmod__zminus1__not__zero-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5881), _u5882) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5881, _u5882) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_zmod__zminus2__not__zero ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_zmod__zminus2__not__zero-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5883, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5884)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5883, _u5884) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_Compl__Diff__eq ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_Compl__Diff__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5885, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5885, tc_HOL_Obool)), _u5886), _u5887)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5885, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5885, tc_HOL_Obool)), _u5886)), _u5887)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_Diff__Compl ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_Diff__Compl-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5888, tc_HOL_Obool)), _u5889), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5888, tc_HOL_Obool)), _u5890)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5888, tc_HOL_Obool)), _u5889), _u5890)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_Diff__eq ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_Diff__eq-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5891, tc_HOL_Obool)), _u5892), _u5893) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5891, tc_HOL_Obool)), _u5892), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5891, tc_HOL_Obool)), _u5893))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_div__mult__mult1__if ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_div__mult__mult1__if-1, axiom, ( ~class_Divides_Osemiring__div(_u5894) | ( _u5895 != c_Groups_Ozero__class_Ozero(_u5894)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5894), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5894), _u5895), _u5896)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5894), _u5895), _u5897)) = c_Groups_Ozero__class_Ozero(_u5894)) )).
% 19.51/19.69 cnf(fact_div__mult__mult1__if-2, axiom, ( ~class_Divides_Osemiring__div(_u5894) | ( _u5895 = c_Groups_Ozero__class_Ozero(_u5894)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5894), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5894), _u5895), _u5896)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5894), _u5895), _u5897)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5894), _u5896), _u5897)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_div__mult__self2__is__id ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_div__mult__self2__is__id-1, axiom, ( ~class_Divides_Osemiring__div(_u5898) | ( _u5899 = c_Groups_Ozero__class_Ozero(_u5898)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5898), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5898), _u5900), _u5899)), _u5899) = _u5900) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_div__mult__self1__is__id ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_div__mult__self1__is__id-1, axiom, ( ~class_Divides_Osemiring__div(_u5901) | ( _u5902 = c_Groups_Ozero__class_Ozero(_u5901)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5901), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5901), _u5902), _u5903)), _u5902) = _u5903) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_div__mult__mult2 ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_div__mult__mult2-1, axiom, ( ~class_Divides_Osemiring__div(_u5904) | ( _u5905 = c_Groups_Ozero__class_Ozero(_u5904)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5904), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5904), _u5906), _u5905)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5904), _u5907), _u5905)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5904), _u5906), _u5907)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_div__mult__mult1 ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_div__mult__mult1-1, axiom, ( ~class_Divides_Osemiring__div(_u5908) | ( _u5909 = c_Groups_Ozero__class_Ozero(_u5908)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5908), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5908), _u5909), _u5910)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5908), _u5909), _u5911)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5908), _u5910), _u5911)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_div__self ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_div__self-1, axiom, ( ~class_Divides_Osemiring__div(_u5912) | ( _u5913 = c_Groups_Ozero__class_Ozero(_u5912)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5912), _u5913), _u5913) = c_Groups_Oone__class_Oone(_u5912)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_split__neg__lemma ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_split__neg__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5918), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(_u5919, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5920), _u5918)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5920, _u5918))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5918), _u5914)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5914), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u5920 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5918), _u5915)), _u5914)) | hBOOL(hAPP(hAPP(_u5919, _u5915), _u5914)) )).
% 19.51/19.69 cnf(fact_split__neg__lemma-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5918), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u5919, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5920), _u5918)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5920, _u5918))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5918), skolem113(_u5920, _u5919, _u5918))) )).
% 19.51/19.69 cnf(fact_split__neg__lemma-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5918), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u5919, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5920), _u5918)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5920, _u5918))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem113(_u5920, _u5919, _u5918)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.69 cnf(fact_split__neg__lemma-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5918), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u5919, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5920), _u5918)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5920, _u5918))) | ( _u5920 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5918), skolem112(_u5920, _u5919, _u5918))), skolem113(_u5920, _u5919, _u5918))) )).
% 19.51/19.69 cnf(fact_split__neg__lemma-5, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5918), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u5919, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5920), _u5918)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5920, _u5918))) | ~hBOOL(hAPP(hAPP(_u5919, skolem112(_u5920, _u5919, _u5918)), skolem113(_u5920, _u5919, _u5918))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_split__pos__lemma ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_split__pos__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5925)) | ~hBOOL(hAPP(hAPP(_u5926, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5927), _u5925)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5927, _u5925))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5921)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5921), _u5925)) | ( _u5927 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5925), _u5922)), _u5921)) | hBOOL(hAPP(hAPP(_u5926, _u5922), _u5921)) )).
% 19.51/19.69 cnf(fact_split__pos__lemma-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5925)) | hBOOL(hAPP(hAPP(_u5926, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5927), _u5925)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5927, _u5925))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem115(_u5927, _u5926, _u5925))) )).
% 19.51/19.69 cnf(fact_split__pos__lemma-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5925)) | hBOOL(hAPP(hAPP(_u5926, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5927), _u5925)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5927, _u5925))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem115(_u5927, _u5926, _u5925)), _u5925)) )).
% 19.51/19.69 cnf(fact_split__pos__lemma-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5925)) | hBOOL(hAPP(hAPP(_u5926, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5927), _u5925)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5927, _u5925))) | ( _u5927 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5925), skolem114(_u5927, _u5926, _u5925))), skolem115(_u5927, _u5926, _u5925))) )).
% 19.51/19.69 cnf(fact_split__pos__lemma-5, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5925)) | hBOOL(hAPP(hAPP(_u5926, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5927), _u5925)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5927, _u5925))) | ~hBOOL(hAPP(hAPP(_u5926, skolem114(_u5927, _u5926, _u5925)), skolem115(_u5927, _u5926, _u5925))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_zdiv__mono1__neg ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_zdiv__mono1__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5928), _u5929)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5930), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5929), _u5930)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5928), _u5930))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_zdiv__mono1 ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_zdiv__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5931), _u5932)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5933)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5931), _u5933)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5932), _u5933))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_div__neg__neg__trivial ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_div__neg__neg__trivial-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5934), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5935), _u5934)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5934), _u5935) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_zdiv__mono2__neg ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_zdiv__mono2__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5936), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5937)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5937), _u5938)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5936), _u5937)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5936), _u5938))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_div__nonpos__pos__le0 ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_div__nonpos__pos__le0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5939), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5940)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5939), _u5940)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_neg__imp__zdiv__nonneg__iff ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_neg__imp__zdiv__nonneg__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5941), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5942), _u5941))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5942), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.69 cnf(fact_neg__imp__zdiv__nonneg__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5941), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5942), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5942), _u5941))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_div__pos__pos__trivial ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_div__pos__pos__trivial-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5943)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5943), _u5944)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5943), _u5944) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_div__nonneg__neg__le0 ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_div__nonneg__neg__le0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5945)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5946), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5945), _u5946)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_zdiv__mono2 ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_zdiv__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5947)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5948)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5948), _u5949)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5947), _u5949)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5947), _u5948))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_nonneg1__imp__zdiv__pos__iff ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_nonneg1__imp__zdiv__pos__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5950)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5950), _u5951))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5951), _u5950)) )).
% 19.51/19.69 cnf(fact_nonneg1__imp__zdiv__pos__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5950)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5950), _u5951))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5951)) )).
% 19.51/19.69 cnf(fact_nonneg1__imp__zdiv__pos__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5950)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5951), _u5950)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5951)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5950), _u5951))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_pos__imp__zdiv__pos__iff ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_pos__imp__zdiv__pos__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5952)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5953), _u5952))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5952), _u5953)) )).
% 19.51/19.69 cnf(fact_pos__imp__zdiv__pos__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5952)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5952), _u5953)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5953), _u5952))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_pos__imp__zdiv__nonneg__iff ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_pos__imp__zdiv__nonneg__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5954)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5955), _u5954))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5955)) )).
% 19.51/19.69 cnf(fact_pos__imp__zdiv__nonneg__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5954)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5955)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5955), _u5954))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_zdiv__eq__0__iff ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_zdiv__eq__0__iff-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5958), _u5960) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5960 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5958)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5958), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.69 cnf(fact_zdiv__eq__0__iff-2, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5958), _u5960) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5960 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5958)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5960), _u5958)) )).
% 19.51/19.69 cnf(fact_zdiv__eq__0__iff-3, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5958), _u5960) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5960 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5958), _u5960)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5958), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.69 cnf(fact_zdiv__eq__0__iff-4, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5958), _u5960) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5960 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5958), _u5960)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5960), _u5958)) )).
% 19.51/19.69 cnf(fact_zdiv__eq__0__iff-5, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5959), _u5961) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5961 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.51/19.69 cnf(fact_zdiv__eq__0__iff-6, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5959), _u5961) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5959)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5959), _u5961)) )).
% 19.51/19.69 cnf(fact_zdiv__eq__0__iff-7, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5959), _u5961) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5959), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5961), _u5959)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_int__div__less__self ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_int__div__less__self-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5962)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u5963)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5962), _u5963)), _u5962)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_zdiv__zmult2__eq ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_zdiv__zmult2__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5964)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5965), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5966), _u5964)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5965), _u5966)), _u5964)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_mod__neg__neg__trivial ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_mod__neg__neg__trivial-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5967), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5968), _u5967)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5967, _u5968) = _u5967) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_neg__mod__conj ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_neg__mod__conj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5969), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5970, _u5969)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.69 cnf(fact_neg__mod__conj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5969), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5969), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5970, _u5969))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_neg__mod__sign ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_neg__mod__sign-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5971), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5972, _u5971)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_mod__pos__pos__trivial ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_mod__pos__pos__trivial-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5973)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5973), _u5974)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5973, _u5974) = _u5973) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_pos__mod__conj ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_pos__mod__conj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5975)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5976, _u5975))) )).
% 19.51/19.69 cnf(fact_pos__mod__conj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5975)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5976, _u5975)), _u5975)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_pos__mod__sign ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_pos__mod__sign-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5977)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5978, _u5977))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_disjoint__eq__subset__Compl ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_disjoint__eq__subset__Compl-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5982, tc_HOL_Obool)), _u5984), _u5986) != c_Orderings_Obot__class_Obot(tc_fun(_u5982, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5982, tc_HOL_Obool)), _u5984), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5982, tc_HOL_Obool)), _u5986))) )).
% 19.51/19.69 cnf(fact_disjoint__eq__subset__Compl-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5983, tc_HOL_Obool)), _u5985), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5983, tc_HOL_Obool)), _u5987))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5983, tc_HOL_Obool)), _u5985), _u5987) = c_Orderings_Obot__class_Obot(tc_fun(_u5983, tc_HOL_Obool))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_zmod__zminus2__eq__if ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_zmod__zminus2__eq__if-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5990, _u5992) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5990, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5992)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.51/19.69 cnf(fact_zmod__zminus2__eq__if-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5991, _u5993) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5991, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5993)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5991, _u5993)), _u5993)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_zmod__zminus1__eq__if ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_zmod__zminus1__eq__if-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5996, _u5998) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5996), _u5998) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.51/19.69 cnf(fact_zmod__zminus1__eq__if-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5997, _u5999) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5997), _u5999) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5999), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5997, _u5999))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_div__mult__self1 ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_div__mult__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u6000) | ( _u6001 = c_Groups_Ozero__class_Ozero(_u6000)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6000), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6000), _u6002), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6000), _u6003), _u6001))), _u6001) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6000), _u6003), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6000), _u6002), _u6001))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_div__mult__self2 ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_div__mult__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u6004) | ( _u6005 = c_Groups_Ozero__class_Ozero(_u6004)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6004), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6004), _u6006), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6004), _u6005), _u6007))), _u6005) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6004), _u6007), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6004), _u6006), _u6005))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_div__add__self2 ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_div__add__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u6008) | ( _u6009 = c_Groups_Ozero__class_Ozero(_u6008)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6008), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6008), _u6010), _u6009)), _u6009) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6008), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6008), _u6010), _u6009)), c_Groups_Oone__class_Oone(_u6008))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_div__add__self1 ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_div__add__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u6011) | ( _u6012 = c_Groups_Ozero__class_Ozero(_u6011)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6011), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6011), _u6012), _u6013)), _u6012) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6011), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6011), _u6013), _u6012)), c_Groups_Oone__class_Oone(_u6011))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_iszero__Numeral0 ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_iszero__Numeral0-1, axiom, ( ~class_Int_Onumber__ring(_u6014) | c_Int_Oiszero(_u6014, hAPP(c_Int_Onumber__class_Onumber__of(_u6014), c_Int_OPls)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_iszero__number__of__Bit1 ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_iszero__number__of__Bit1-1, axiom, ( ~class_Int_Onumber__ring(_u6015) | ~class_Int_Oring__char__0(_u6015) | ~c_Int_Oiszero(_u6015, hAPP(c_Int_Onumber__class_Onumber__of(_u6015), c_Int_OBit1(_u6016))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_iszero__number__of__Bit0 ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_iszero__number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u6017) | ~class_Int_Oring__char__0(_u6017) | ~c_Int_Oiszero(_u6017, hAPP(c_Int_Onumber__class_Onumber__of(_u6017), c_Int_OBit0(_u6018))) | c_Int_Oiszero(_u6017, hAPP(c_Int_Onumber__class_Onumber__of(_u6017), _u6018)) )).
% 19.51/19.69 cnf(fact_iszero__number__of__Bit0-2, axiom, ( ~class_Int_Onumber__ring(_u6017) | ~class_Int_Oring__char__0(_u6017) | ~c_Int_Oiszero(_u6017, hAPP(c_Int_Onumber__class_Onumber__of(_u6017), _u6018)) | c_Int_Oiszero(_u6017, hAPP(c_Int_Onumber__class_Onumber__of(_u6017), c_Int_OBit0(_u6018))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_mod__pos__neg__trivial ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_mod__pos__neg__trivial-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6019)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6019), _u6020)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6019, _u6020) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6019), _u6020)) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_divmod__int__rel__div__eq ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_divmod__int__rel__div__eq-1, axiom, ( ( _u6021 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6022), _u6023)), _u6024)) | ( _u6022 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6021), _u6022) = _u6023) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6022)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6022), _u6024)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6024), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.69 cnf(fact_divmod__int__rel__div__eq-2, axiom, ( ( _u6021 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6022), _u6023)), _u6024)) | ( _u6022 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6021), _u6022) = _u6023) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6024)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6024), _u6022)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6022)) )).
% 19.51/19.69 cnf(fact_divmod__int__rel__div__eq-3, axiom, ( ( _u6021 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6022), _u6023)), _u6024)) | ( _u6022 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6021), _u6022) = _u6023) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6024)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6024), _u6022)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6022), _u6024)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6024), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_split__zdiv ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_split__zdiv-1, axiom, ( ~hBOOL(hAPP(_u6036, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6038), _u6040))) | ( _u6040 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u6036, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.69 cnf(fact_split__zdiv-2, axiom, ( ~hBOOL(hAPP(_u6036, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6038), _u6040))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6040)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6025)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6025), _u6040)) | ( _u6038 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6040), _u6026)), _u6025)) | hBOOL(hAPP(_u6036, _u6026)) )).
% 19.51/19.69 cnf(fact_split__zdiv-3, axiom, ( ~hBOOL(hAPP(_u6036, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6038), _u6040))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6040), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6040), _u6027)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6027), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6038 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6040), _u6028)), _u6027)) | hBOOL(hAPP(_u6036, _u6028)) )).
% 19.51/19.69 cnf(fact_split__zdiv-4, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6041)) )).
% 19.51/19.69 cnf(fact_split__zdiv-5, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem117(_u6041, _u6039, _u6037))) )).
% 19.51/19.69 cnf(fact_split__zdiv-6, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem117(_u6041, _u6039, _u6037)), _u6041)) )).
% 19.51/19.69 cnf(fact_split__zdiv-7, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem116(_u6041, _u6039, _u6037))), skolem117(_u6041, _u6039, _u6037))) )).
% 19.51/19.69 cnf(fact_split__zdiv-8, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6037, skolem116(_u6041, _u6039, _u6037))) )).
% 19.51/19.69 cnf(fact_split__zdiv-9, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6041)) )).
% 19.51/19.69 cnf(fact_split__zdiv-10, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem117(_u6041, _u6039, _u6037))) )).
% 19.51/19.69 cnf(fact_split__zdiv-11, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem117(_u6041, _u6039, _u6037)), _u6041)) )).
% 19.51/19.69 cnf(fact_split__zdiv-12, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem116(_u6041, _u6039, _u6037))), skolem117(_u6041, _u6039, _u6037))) )).
% 19.51/19.69 cnf(fact_split__zdiv-13, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6037, skolem116(_u6041, _u6039, _u6037))) )).
% 19.51/19.69 cnf(fact_split__zdiv-14, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), skolem119(_u6041, _u6039, _u6037))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6041)) )).
% 19.51/19.69 cnf(fact_split__zdiv-15, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), skolem119(_u6041, _u6039, _u6037))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem117(_u6041, _u6039, _u6037))) )).
% 19.51/19.69 cnf(fact_split__zdiv-16, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), skolem119(_u6041, _u6039, _u6037))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem117(_u6041, _u6039, _u6037)), _u6041)) )).
% 19.51/19.69 cnf(fact_split__zdiv-17, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), skolem119(_u6041, _u6039, _u6037))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem116(_u6041, _u6039, _u6037))), skolem117(_u6041, _u6039, _u6037))) )).
% 19.51/19.69 cnf(fact_split__zdiv-18, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), skolem119(_u6041, _u6039, _u6037))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6037, skolem116(_u6041, _u6039, _u6037))) )).
% 19.51/19.69 cnf(fact_split__zdiv-19, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem119(_u6041, _u6039, _u6037)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6041)) )).
% 19.51/19.69 cnf(fact_split__zdiv-20, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem119(_u6041, _u6039, _u6037)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem117(_u6041, _u6039, _u6037))) )).
% 19.51/19.69 cnf(fact_split__zdiv-21, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem119(_u6041, _u6039, _u6037)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem117(_u6041, _u6039, _u6037)), _u6041)) )).
% 19.51/19.69 cnf(fact_split__zdiv-22, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem119(_u6041, _u6039, _u6037)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem116(_u6041, _u6039, _u6037))), skolem117(_u6041, _u6039, _u6037))) )).
% 19.51/19.69 cnf(fact_split__zdiv-23, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem119(_u6041, _u6039, _u6037)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6037, skolem116(_u6041, _u6039, _u6037))) )).
% 19.51/19.69 cnf(fact_split__zdiv-24, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem118(_u6041, _u6039, _u6037))), skolem119(_u6041, _u6039, _u6037))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6041)) )).
% 19.51/19.69 cnf(fact_split__zdiv-25, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem118(_u6041, _u6039, _u6037))), skolem119(_u6041, _u6039, _u6037))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem117(_u6041, _u6039, _u6037))) )).
% 19.51/19.69 cnf(fact_split__zdiv-26, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem118(_u6041, _u6039, _u6037))), skolem119(_u6041, _u6039, _u6037))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem117(_u6041, _u6039, _u6037)), _u6041)) )).
% 19.51/19.69 cnf(fact_split__zdiv-27, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem118(_u6041, _u6039, _u6037))), skolem119(_u6041, _u6039, _u6037))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem116(_u6041, _u6039, _u6037))), skolem117(_u6041, _u6039, _u6037))) )).
% 19.51/19.69 cnf(fact_split__zdiv-28, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem118(_u6041, _u6039, _u6037))), skolem119(_u6041, _u6039, _u6037))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6037, skolem116(_u6041, _u6039, _u6037))) )).
% 19.51/19.69 cnf(fact_split__zdiv-29, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ~hBOOL(hAPP(_u6037, skolem118(_u6041, _u6039, _u6037))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6041)) )).
% 19.51/19.69 cnf(fact_split__zdiv-30, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ~hBOOL(hAPP(_u6037, skolem118(_u6041, _u6039, _u6037))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem117(_u6041, _u6039, _u6037))) )).
% 19.51/19.69 cnf(fact_split__zdiv-31, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ~hBOOL(hAPP(_u6037, skolem118(_u6041, _u6039, _u6037))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem117(_u6041, _u6039, _u6037)), _u6041)) )).
% 19.51/19.69 cnf(fact_split__zdiv-32, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ~hBOOL(hAPP(_u6037, skolem118(_u6041, _u6039, _u6037))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem116(_u6041, _u6039, _u6037))), skolem117(_u6041, _u6039, _u6037))) )).
% 19.51/19.69 cnf(fact_split__zdiv-33, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ~hBOOL(hAPP(_u6037, skolem118(_u6041, _u6039, _u6037))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6037, skolem116(_u6041, _u6039, _u6037))) )).
% 19.51/19.69 cnf(fact_split__zdiv-34, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), skolem119(_u6041, _u6039, _u6037))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6041)) )).
% 19.51/19.69 cnf(fact_split__zdiv-35, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), skolem119(_u6041, _u6039, _u6037))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem117(_u6041, _u6039, _u6037))) )).
% 19.51/19.69 cnf(fact_split__zdiv-36, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), skolem119(_u6041, _u6039, _u6037))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem117(_u6041, _u6039, _u6037)), _u6041)) )).
% 19.51/19.69 cnf(fact_split__zdiv-37, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), skolem119(_u6041, _u6039, _u6037))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem116(_u6041, _u6039, _u6037))), skolem117(_u6041, _u6039, _u6037))) )).
% 19.51/19.69 cnf(fact_split__zdiv-38, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), skolem119(_u6041, _u6039, _u6037))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6037, skolem116(_u6041, _u6039, _u6037))) )).
% 19.51/19.69 cnf(fact_split__zdiv-39, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem119(_u6041, _u6039, _u6037)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6041)) )).
% 19.51/19.69 cnf(fact_split__zdiv-40, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem119(_u6041, _u6039, _u6037)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem117(_u6041, _u6039, _u6037))) )).
% 19.51/19.69 cnf(fact_split__zdiv-41, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem119(_u6041, _u6039, _u6037)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem117(_u6041, _u6039, _u6037)), _u6041)) )).
% 19.51/19.69 cnf(fact_split__zdiv-42, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem119(_u6041, _u6039, _u6037)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem116(_u6041, _u6039, _u6037))), skolem117(_u6041, _u6039, _u6037))) )).
% 19.51/19.69 cnf(fact_split__zdiv-43, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem119(_u6041, _u6039, _u6037)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6037, skolem116(_u6041, _u6039, _u6037))) )).
% 19.51/19.69 cnf(fact_split__zdiv-44, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem118(_u6041, _u6039, _u6037))), skolem119(_u6041, _u6039, _u6037))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6041)) )).
% 19.51/19.69 cnf(fact_split__zdiv-45, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem118(_u6041, _u6039, _u6037))), skolem119(_u6041, _u6039, _u6037))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem117(_u6041, _u6039, _u6037))) )).
% 19.51/19.69 cnf(fact_split__zdiv-46, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem118(_u6041, _u6039, _u6037))), skolem119(_u6041, _u6039, _u6037))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem117(_u6041, _u6039, _u6037)), _u6041)) )).
% 19.51/19.69 cnf(fact_split__zdiv-47, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem118(_u6041, _u6039, _u6037))), skolem119(_u6041, _u6039, _u6037))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem116(_u6041, _u6039, _u6037))), skolem117(_u6041, _u6039, _u6037))) )).
% 19.51/19.69 cnf(fact_split__zdiv-48, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem118(_u6041, _u6039, _u6037))), skolem119(_u6041, _u6039, _u6037))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6037, skolem116(_u6041, _u6039, _u6037))) )).
% 19.51/19.69 cnf(fact_split__zdiv-49, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ~hBOOL(hAPP(_u6037, skolem118(_u6041, _u6039, _u6037))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6041)) )).
% 19.51/19.69 cnf(fact_split__zdiv-50, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ~hBOOL(hAPP(_u6037, skolem118(_u6041, _u6039, _u6037))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem117(_u6041, _u6039, _u6037))) )).
% 19.51/19.69 cnf(fact_split__zdiv-51, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ~hBOOL(hAPP(_u6037, skolem118(_u6041, _u6039, _u6037))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem117(_u6041, _u6039, _u6037)), _u6041)) )).
% 19.51/19.69 cnf(fact_split__zdiv-52, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ~hBOOL(hAPP(_u6037, skolem118(_u6041, _u6039, _u6037))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem116(_u6041, _u6039, _u6037))), skolem117(_u6041, _u6039, _u6037))) )).
% 19.51/19.69 cnf(fact_split__zdiv-53, axiom, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ~hBOOL(hAPP(_u6037, skolem118(_u6041, _u6039, _u6037))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6037, skolem116(_u6041, _u6039, _u6037))) )).
% 19.51/19.69
% 19.51/19.69 % Formula: fact_divmod__int__rel__mod__eq ( axiom ) converted to clauses:
% 19.51/19.69 cnf(fact_divmod__int__rel__mod__eq-1, axiom, ( ( _u6042 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6043), _u6044)), _u6045)) | ( _u6043 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6042, _u6043) = _u6045) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6043)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6043), _u6045)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6045), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.70 cnf(fact_divmod__int__rel__mod__eq-2, axiom, ( ( _u6042 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6043), _u6044)), _u6045)) | ( _u6043 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6042, _u6043) = _u6045) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6045)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6045), _u6043)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6043)) )).
% 19.51/19.70 cnf(fact_divmod__int__rel__mod__eq-3, axiom, ( ( _u6042 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6043), _u6044)), _u6045)) | ( _u6043 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6042, _u6043) = _u6045) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6045)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6045), _u6043)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6043), _u6045)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6045), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_zmult2__lemma__aux2 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_zmult2__lemma__aux2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6046)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6047), _u6048)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6048), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6047), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6049, _u6046))), _u6048)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_zmult2__lemma__aux1 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_zmult2__lemma__aux1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6050)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6051), _u6052)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6052), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6051), _u6050)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6051), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6053, _u6050))), _u6052))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_zmult2__lemma__aux4 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_zmult2__lemma__aux4-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6054)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6055)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6055), _u6056)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6056), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6057, _u6054))), _u6055)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6056), _u6054))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_zmult2__lemma__aux3 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_zmult2__lemma__aux3-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6058)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6059)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6059), _u6060)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6060), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6061, _u6058))), _u6059))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_split__zmod ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_split__zmod-1, axiom, ( ~hBOOL(hAPP(_u6073, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6075, _u6077))) | ( _u6077 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u6073, _u6075)) )).
% 19.51/19.70 cnf(fact_split__zmod-2, axiom, ( ~hBOOL(hAPP(_u6073, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6075, _u6077))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6077)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6062)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6062), _u6077)) | ( _u6075 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6077), _u6063)), _u6062)) | hBOOL(hAPP(_u6073, _u6062)) )).
% 19.51/19.70 cnf(fact_split__zmod-3, axiom, ( ~hBOOL(hAPP(_u6073, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6075, _u6077))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6077), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6077), _u6064)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6064), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6075 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6077), _u6065)), _u6064)) | hBOOL(hAPP(_u6073, _u6064)) )).
% 19.51/19.70 cnf(fact_split__zmod-4, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6078)) )).
% 19.51/19.70 cnf(fact_split__zmod-5, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem121(_u6078, _u6076, _u6074))) )).
% 19.51/19.70 cnf(fact_split__zmod-6, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem121(_u6078, _u6076, _u6074)), _u6078)) )).
% 19.51/19.70 cnf(fact_split__zmod-7, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem120(_u6078, _u6076, _u6074))), skolem121(_u6078, _u6076, _u6074))) )).
% 19.51/19.70 cnf(fact_split__zmod-8, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6074, skolem121(_u6078, _u6076, _u6074))) )).
% 19.51/19.70 cnf(fact_split__zmod-9, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6074, _u6076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6078)) )).
% 19.51/19.70 cnf(fact_split__zmod-10, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6074, _u6076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem121(_u6078, _u6076, _u6074))) )).
% 19.51/19.70 cnf(fact_split__zmod-11, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6074, _u6076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem121(_u6078, _u6076, _u6074)), _u6078)) )).
% 19.51/19.70 cnf(fact_split__zmod-12, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6074, _u6076)) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem120(_u6078, _u6076, _u6074))), skolem121(_u6078, _u6076, _u6074))) )).
% 19.51/19.70 cnf(fact_split__zmod-13, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6074, _u6076)) | ~hBOOL(hAPP(_u6074, skolem121(_u6078, _u6076, _u6074))) )).
% 19.51/19.70 cnf(fact_split__zmod-14, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), skolem123(_u6078, _u6076, _u6074))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6078)) )).
% 19.51/19.70 cnf(fact_split__zmod-15, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), skolem123(_u6078, _u6076, _u6074))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem121(_u6078, _u6076, _u6074))) )).
% 19.51/19.70 cnf(fact_split__zmod-16, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), skolem123(_u6078, _u6076, _u6074))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem121(_u6078, _u6076, _u6074)), _u6078)) )).
% 19.51/19.70 cnf(fact_split__zmod-17, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), skolem123(_u6078, _u6076, _u6074))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem120(_u6078, _u6076, _u6074))), skolem121(_u6078, _u6076, _u6074))) )).
% 19.51/19.70 cnf(fact_split__zmod-18, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), skolem123(_u6078, _u6076, _u6074))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6074, skolem121(_u6078, _u6076, _u6074))) )).
% 19.51/19.70 cnf(fact_split__zmod-19, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem123(_u6078, _u6076, _u6074)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6078)) )).
% 19.51/19.70 cnf(fact_split__zmod-20, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem123(_u6078, _u6076, _u6074)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem121(_u6078, _u6076, _u6074))) )).
% 19.51/19.70 cnf(fact_split__zmod-21, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem123(_u6078, _u6076, _u6074)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem121(_u6078, _u6076, _u6074)), _u6078)) )).
% 19.51/19.70 cnf(fact_split__zmod-22, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem123(_u6078, _u6076, _u6074)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem120(_u6078, _u6076, _u6074))), skolem121(_u6078, _u6076, _u6074))) )).
% 19.51/19.70 cnf(fact_split__zmod-23, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem123(_u6078, _u6076, _u6074)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6074, skolem121(_u6078, _u6076, _u6074))) )).
% 19.51/19.70 cnf(fact_split__zmod-24, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem122(_u6078, _u6076, _u6074))), skolem123(_u6078, _u6076, _u6074))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6078)) )).
% 19.51/19.70 cnf(fact_split__zmod-25, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem122(_u6078, _u6076, _u6074))), skolem123(_u6078, _u6076, _u6074))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem121(_u6078, _u6076, _u6074))) )).
% 19.51/19.70 cnf(fact_split__zmod-26, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem122(_u6078, _u6076, _u6074))), skolem123(_u6078, _u6076, _u6074))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem121(_u6078, _u6076, _u6074)), _u6078)) )).
% 19.51/19.70 cnf(fact_split__zmod-27, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem122(_u6078, _u6076, _u6074))), skolem123(_u6078, _u6076, _u6074))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem120(_u6078, _u6076, _u6074))), skolem121(_u6078, _u6076, _u6074))) )).
% 19.51/19.70 cnf(fact_split__zmod-28, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem122(_u6078, _u6076, _u6074))), skolem123(_u6078, _u6076, _u6074))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6074, skolem121(_u6078, _u6076, _u6074))) )).
% 19.51/19.70 cnf(fact_split__zmod-29, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ~hBOOL(hAPP(_u6074, skolem123(_u6078, _u6076, _u6074))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6078)) )).
% 19.51/19.70 cnf(fact_split__zmod-30, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ~hBOOL(hAPP(_u6074, skolem123(_u6078, _u6076, _u6074))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem121(_u6078, _u6076, _u6074))) )).
% 19.51/19.70 cnf(fact_split__zmod-31, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ~hBOOL(hAPP(_u6074, skolem123(_u6078, _u6076, _u6074))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem121(_u6078, _u6076, _u6074)), _u6078)) )).
% 19.51/19.70 cnf(fact_split__zmod-32, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ~hBOOL(hAPP(_u6074, skolem123(_u6078, _u6076, _u6074))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem120(_u6078, _u6076, _u6074))), skolem121(_u6078, _u6076, _u6074))) )).
% 19.51/19.70 cnf(fact_split__zmod-33, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ~hBOOL(hAPP(_u6074, skolem123(_u6078, _u6076, _u6074))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6074, skolem121(_u6078, _u6076, _u6074))) )).
% 19.51/19.70 cnf(fact_split__zmod-34, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), skolem123(_u6078, _u6076, _u6074))) | ~hBOOL(hAPP(_u6074, _u6076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6078)) )).
% 19.51/19.70 cnf(fact_split__zmod-35, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), skolem123(_u6078, _u6076, _u6074))) | ~hBOOL(hAPP(_u6074, _u6076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem121(_u6078, _u6076, _u6074))) )).
% 19.51/19.70 cnf(fact_split__zmod-36, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), skolem123(_u6078, _u6076, _u6074))) | ~hBOOL(hAPP(_u6074, _u6076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem121(_u6078, _u6076, _u6074)), _u6078)) )).
% 19.51/19.70 cnf(fact_split__zmod-37, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), skolem123(_u6078, _u6076, _u6074))) | ~hBOOL(hAPP(_u6074, _u6076)) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem120(_u6078, _u6076, _u6074))), skolem121(_u6078, _u6076, _u6074))) )).
% 19.51/19.70 cnf(fact_split__zmod-38, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), skolem123(_u6078, _u6076, _u6074))) | ~hBOOL(hAPP(_u6074, _u6076)) | ~hBOOL(hAPP(_u6074, skolem121(_u6078, _u6076, _u6074))) )).
% 19.51/19.70 cnf(fact_split__zmod-39, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem123(_u6078, _u6076, _u6074)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6074, _u6076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6078)) )).
% 19.51/19.70 cnf(fact_split__zmod-40, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem123(_u6078, _u6076, _u6074)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6074, _u6076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem121(_u6078, _u6076, _u6074))) )).
% 19.51/19.70 cnf(fact_split__zmod-41, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem123(_u6078, _u6076, _u6074)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6074, _u6076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem121(_u6078, _u6076, _u6074)), _u6078)) )).
% 19.51/19.70 cnf(fact_split__zmod-42, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem123(_u6078, _u6076, _u6074)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6074, _u6076)) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem120(_u6078, _u6076, _u6074))), skolem121(_u6078, _u6076, _u6074))) )).
% 19.51/19.70 cnf(fact_split__zmod-43, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem123(_u6078, _u6076, _u6074)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6074, _u6076)) | ~hBOOL(hAPP(_u6074, skolem121(_u6078, _u6076, _u6074))) )).
% 19.51/19.70 cnf(fact_split__zmod-44, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem122(_u6078, _u6076, _u6074))), skolem123(_u6078, _u6076, _u6074))) | ~hBOOL(hAPP(_u6074, _u6076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6078)) )).
% 19.51/19.70 cnf(fact_split__zmod-45, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem122(_u6078, _u6076, _u6074))), skolem123(_u6078, _u6076, _u6074))) | ~hBOOL(hAPP(_u6074, _u6076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem121(_u6078, _u6076, _u6074))) )).
% 19.51/19.70 cnf(fact_split__zmod-46, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem122(_u6078, _u6076, _u6074))), skolem123(_u6078, _u6076, _u6074))) | ~hBOOL(hAPP(_u6074, _u6076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem121(_u6078, _u6076, _u6074)), _u6078)) )).
% 19.51/19.70 cnf(fact_split__zmod-47, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem122(_u6078, _u6076, _u6074))), skolem123(_u6078, _u6076, _u6074))) | ~hBOOL(hAPP(_u6074, _u6076)) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem120(_u6078, _u6076, _u6074))), skolem121(_u6078, _u6076, _u6074))) )).
% 19.51/19.70 cnf(fact_split__zmod-48, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem122(_u6078, _u6076, _u6074))), skolem123(_u6078, _u6076, _u6074))) | ~hBOOL(hAPP(_u6074, _u6076)) | ~hBOOL(hAPP(_u6074, skolem121(_u6078, _u6076, _u6074))) )).
% 19.51/19.70 cnf(fact_split__zmod-49, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ~hBOOL(hAPP(_u6074, skolem123(_u6078, _u6076, _u6074))) | ~hBOOL(hAPP(_u6074, _u6076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6078)) )).
% 19.51/19.70 cnf(fact_split__zmod-50, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ~hBOOL(hAPP(_u6074, skolem123(_u6078, _u6076, _u6074))) | ~hBOOL(hAPP(_u6074, _u6076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem121(_u6078, _u6076, _u6074))) )).
% 19.51/19.70 cnf(fact_split__zmod-51, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ~hBOOL(hAPP(_u6074, skolem123(_u6078, _u6076, _u6074))) | ~hBOOL(hAPP(_u6074, _u6076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem121(_u6078, _u6076, _u6074)), _u6078)) )).
% 19.51/19.70 cnf(fact_split__zmod-52, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ~hBOOL(hAPP(_u6074, skolem123(_u6078, _u6076, _u6074))) | ~hBOOL(hAPP(_u6074, _u6076)) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem120(_u6078, _u6076, _u6074))), skolem121(_u6078, _u6076, _u6074))) )).
% 19.51/19.70 cnf(fact_split__zmod-53, axiom, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ~hBOOL(hAPP(_u6074, skolem123(_u6078, _u6076, _u6074))) | ~hBOOL(hAPP(_u6074, _u6076)) | ~hBOOL(hAPP(_u6074, skolem121(_u6078, _u6076, _u6074))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_zmod__number__of__Bit0 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_zmod__number__of__Bit0-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u6079)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u6080))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6079), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6080)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_not__iszero__Numeral1 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_not__iszero__Numeral1-1, axiom, ( ~class_Int_Onumber__ring(_u6081) | ~c_Int_Oiszero(_u6081, hAPP(c_Int_Onumber__class_Onumber__of(_u6081), c_Int_OBit1(c_Int_OPls))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_eq__number__of__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_eq__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u6082) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u6082), _u6083) != hAPP(c_Int_Onumber__class_Onumber__of(_u6082), _u6084)) | c_Int_Oiszero(_u6082, hAPP(c_Int_Onumber__class_Onumber__of(_u6082), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6083), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6084)))) )).
% 19.51/19.70 cnf(fact_eq__number__of__eq-2, axiom, ( ~class_Int_Onumber__ring(_u6082) | ~c_Int_Oiszero(_u6082, hAPP(c_Int_Onumber__class_Onumber__of(_u6082), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6083), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6084)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u6082), _u6083) = hAPP(c_Int_Onumber__class_Onumber__of(_u6082), _u6084)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_zdiv__number__of__Bit1 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_zdiv__number__of__Bit1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6087))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u6089))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u6087))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6089)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6087))) )).
% 19.51/19.70 cnf(fact_zdiv__number__of__Bit1-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6088))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u6090))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u6088))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6090)), c_Groups_Oone__class_Oone(tc_Int_Oint))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6088))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_eq__special_I3_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_eq__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u6091) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u6091), _u6092) != c_Groups_Ozero__class_Ozero(_u6091)) | c_Int_Oiszero(_u6091, hAPP(c_Int_Onumber__class_Onumber__of(_u6091), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6092), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) )).
% 19.51/19.70 cnf(fact_eq__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u6091) | ~c_Int_Oiszero(_u6091, hAPP(c_Int_Onumber__class_Onumber__of(_u6091), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6092), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u6091), _u6092) = c_Groups_Ozero__class_Ozero(_u6091)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_eq__special_I1_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_eq__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u6093) | ( c_Groups_Ozero__class_Ozero(_u6093) != hAPP(c_Int_Onumber__class_Onumber__of(_u6093), _u6094)) | c_Int_Oiszero(_u6093, hAPP(c_Int_Onumber__class_Onumber__of(_u6093), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6094)))) )).
% 19.51/19.70 cnf(fact_eq__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u6093) | ~c_Int_Oiszero(_u6093, hAPP(c_Int_Onumber__class_Onumber__of(_u6093), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6094)))) | ( c_Groups_Ozero__class_Ozero(_u6093) = hAPP(c_Int_Onumber__class_Onumber__of(_u6093), _u6094)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_pos__zdiv__mult__2 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_pos__zdiv__mult__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6095)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6096))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6095)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6096), _u6095)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__of__aux__code ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__of__aux__code-1, axiom, ( ( _u6099 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u6099, _u6101) = _u6101) )).
% 19.51/19.70 cnf(fact_nat__of__aux__code-2, axiom, ( ( _u6100 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u6100, _u6102) = c_Code__Numeral_Onat__of__aux(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u6100), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), hAPP(c_Nat_OSuc, _u6102))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_z3div__def ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_z3div__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6105)) | ( c_SMT_Oz3div(_u6107, _u6105) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6107), _u6105)) )).
% 19.51/19.70 cnf(fact_z3div__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6106)) | ( c_SMT_Oz3div(_u6108, _u6106) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6108), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6106)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_z3mod__def ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_z3mod__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6111)) | ( c_SMT_Oz3mod(_u6113, _u6111) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6113, _u6111)) )).
% 19.51/19.70 cnf(fact_z3mod__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6112)) | ( c_SMT_Oz3mod(_u6114, _u6112) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6114, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6112))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_of__nat__double ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_of__nat__double-1, axiom, ( ~class_Rings_Osemiring__1(_u6115) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6116)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6115), hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6116))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6115), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6115), hAPP(c_Int_Onat, _u6116))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6115), hAPP(c_Int_Onat, _u6116)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__minus1__odd ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__minus1__odd-1, axiom, ( ~class_Rings_Oring__1(_u6117) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6117), hAPP(c_Groups_Ouminus__class_Ouminus(_u6117), c_Groups_Oone__class_Oone(_u6117))), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6118))) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6117), c_Groups_Oone__class_Oone(_u6117))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_odd__power__less__zero ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_odd__power__less__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u6119) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6119), _u6120), c_Groups_Ozero__class_Ozero(_u6119))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6119), hAPP(hAPP(c_Power_Opower__class_Opower(_u6119), _u6120), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6121)))), c_Groups_Ozero__class_Ozero(_u6119))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_double__complement ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_double__complement-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6122, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6122, tc_HOL_Obool)), _u6123)) = _u6123) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Compl__eq__Compl__iff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Compl__eq__Compl__iff-1, axiom, ( ( _u6129 = _u6131) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6127, tc_HOL_Obool)), _u6129) != hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6127, tc_HOL_Obool)), _u6131)) )).
% 19.51/19.70 cnf(fact_Compl__eq__Compl__iff-2, axiom, ( ( _u6130 != _u6132) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6128, tc_HOL_Obool)), _u6130) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6128, tc_HOL_Obool)), _u6132)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6133)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u6133)), _u6134) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6133), _u6134))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_div__add1__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_div__add1__eq-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6135), _u6136)), _u6137) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6135), _u6137)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6136), _u6137))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6135, _u6137)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6136, _u6137))), _u6137))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__power__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__power__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6138)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6138), _u6139)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u6138)), _u6139)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_div__mult1__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_div__mult1__eq-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6140), _u6141)), _u6142) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6140), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6141), _u6142))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6140), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6141, _u6142))), _u6142))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mod__mult2__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mod__mult2__eq-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6143, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6144), _u6145)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6144), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6143), _u6144), _u6145))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6143, _u6144))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Divides_Omod__div__equality_H ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Divides_Omod__div__equality_H-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6146, _u6147) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6146), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6146), _u6147)), _u6147))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mult__div__cancel ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mult__div__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6148), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6149), _u6148)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6149), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6149, _u6148))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_div__mod__equality_H ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_div__mod__equality_H-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6150), _u6151)), _u6151) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6150), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6150, _u6151))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_int__power ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_int__power-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6152), _u6153)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6152)), _u6153)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_zpower__int ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_zpower__int-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6154)), _u6155) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6154), _u6155))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6156)), _u6157) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6156), _u6157))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6158) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6158), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6158), _u6159), _u6160)), _u6161) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6158), hAPP(hAPP(c_Power_Opower__class_Opower(_u6158), _u6159), _u6161)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6158), _u6160), _u6161))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_div__le__dividend ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_div__le__dividend-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6162), _u6163)), _u6162)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_div__le__mono ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_div__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6164), _u6165)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6164), _u6166)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6165), _u6166))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mod__Suc__eq__Suc__mod ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mod__Suc__eq__Suc__mod-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u6167), _u6168) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6167, _u6168)), _u6168)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_div__mult2__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_div__mult2__eq-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6169), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6170), _u6171)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6169), _u6170)), _u6171)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mod__less ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mod__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6172), _u6173)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6172, _u6173) = _u6172) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mod__less__eq__dividend ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mod__less__eq__dividend-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6174, _u6175)), _u6174)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mod__mult__distrib2 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mod__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6176), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6177, _u6178)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6176), _u6177), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6176), _u6178))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mod__mult__distrib ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mod__mult__distrib-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6179, _u6180)), _u6181) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6179), _u6181), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6180), _u6181))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__int ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__int-1, axiom, ( ( hAPP(c_Int_Onat, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6182)) = _u6182) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6183) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6183), hAPP(hAPP(c_Power_Opower__class_Opower(_u6183), _u6184), _u6185)), _u6186) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6183), _u6184), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6185), _u6186))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_zpower__zpower ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_zpower__zpower-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6187), _u6188)), _u6189) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6187), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6188), _u6189))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6190) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6190), _u6191), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u6191) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_zpower__zmod ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_zpower__zmod-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6192, _u6193)), _u6194), _u6193) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6192), _u6194), _u6193)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__nat__number__of__number__of ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__nat__number__of__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6197))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6197)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6199)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6199))) )).
% 19.51/19.70 cnf(fact_power__nat__number__of__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6198))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6198)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6200)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6198)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6200)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__nat__number__of ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6203))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6203)), _u6205) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6205)) )).
% 19.51/19.70 cnf(fact_power__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6204))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6204)), _u6206) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6204)), _u6206))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Divides_Otransfer__nat__int__functions_I1_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Divides_Otransfer__nat__int__functions_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6207)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6208)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u6207)), hAPP(c_Int_Onat, _u6208)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6207), _u6208))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__div__distrib ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__div__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6209)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6209), _u6210)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u6209)), hAPP(c_Int_Onat, _u6210))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Divides_Otransfer__nat__int__functions_I2_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Divides_Otransfer__nat__int__functions_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6211)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6212)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u6211), hAPP(c_Int_Onat, _u6212)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6211, _u6212))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__mod__distrib ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__mod__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6213)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6214)) | ( hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6213, _u6214)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u6213), hAPP(c_Int_Onat, _u6214))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_div__1 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_div__1-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6215), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = _u6215) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_div__less ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_div__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6216), _u6217)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6216), _u6217) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__mult__div__cancel__disj ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__mult__div__cancel__disj-1, axiom, ( ( _u6221 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6221), _u6223)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6221), _u6225)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.70 cnf(fact_nat__mult__div__cancel__disj-2, axiom, ( ( _u6222 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6222), _u6224)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6222), _u6226)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6224), _u6226)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6227) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6227), _u6228), hAPP(c_Nat_OSuc, _u6229)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6227), _u6228), hAPP(hAPP(c_Power_Opower__class_Opower(_u6227), _u6228), _u6229))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6230) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6230), _u6231), hAPP(hAPP(c_Power_Opower__class_Opower(_u6230), _u6231), _u6232)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6230), _u6231), hAPP(c_Nat_OSuc, _u6232))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6233) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6233), hAPP(hAPP(c_Power_Opower__class_Opower(_u6233), _u6234), _u6235)), _u6234) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6233), _u6234), hAPP(c_Nat_OSuc, _u6235))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_transfer__nat__int__numerals_I1_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_transfer__nat__int__numerals_I1_J-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__0 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__0-1, axiom, ( ( hAPP(c_Int_Onat, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mod__Suc ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mod__Suc-1, axiom, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6238, _u6240)) != _u6240) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u6238), _u6240) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.70 cnf(fact_mod__Suc-2, axiom, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6239, _u6241)) = _u6241) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u6239), _u6241) = hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6239, _u6241))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mod__1 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mod__1-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6242, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mod__less__divisor ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mod__less__divisor-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6243)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6244, _u6243)), _u6243)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6245) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6245), _u6246), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u6245)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6247) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6247), hAPP(hAPP(c_Power_Opower__class_Opower(_u6247), _u6248), _u6249)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6247), _u6248), _u6250)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6247), _u6248), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6249), _u6250))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_ex__nat ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_ex__nat-1, axiom, ( ~hBOOL(hAPP(_u6256, _u6251)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem124(_u6256))) )).
% 19.51/19.70 cnf(fact_ex__nat-2, axiom, ( ~hBOOL(hAPP(_u6256, _u6251)) | hBOOL(hAPP(_u6256, hAPP(c_Int_Onat, skolem124(_u6256)))) )).
% 19.51/19.70 cnf(fact_ex__nat-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6253)) | ~hBOOL(hAPP(_u6257, hAPP(c_Int_Onat, _u6253))) | hBOOL(hAPP(_u6257, skolem125(_u6257))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_all__nat ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_all__nat-1, axiom, ( ~hBOOL(hAPP(_u6263, skolem126(_u6263))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6259)) | hBOOL(hAPP(_u6263, hAPP(c_Int_Onat, _u6259))) )).
% 19.51/19.70 cnf(fact_all__nat-2, axiom, ( hBOOL(hAPP(_u6264, _u6261)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem127(_u6264))) )).
% 19.51/19.70 cnf(fact_all__nat-3, axiom, ( hBOOL(hAPP(_u6264, _u6261)) | ~hBOOL(hAPP(_u6264, hAPP(c_Int_Onat, skolem127(_u6264)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_transfer__nat__int__relations_I1_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_transfer__nat__int__relations_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6265)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6266)) | ( hAPP(c_Int_Onat, _u6265) != hAPP(c_Int_Onat, _u6266)) | ( _u6265 = _u6266) )).
% 19.51/19.70 cnf(fact_transfer__nat__int__relations_I1_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6265)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6266)) | ( _u6265 != _u6266) | ( hAPP(c_Int_Onat, _u6265) = hAPP(c_Int_Onat, _u6266)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_eq__nat__nat__iff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_eq__nat__nat__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6267)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6268)) | ( hAPP(c_Int_Onat, _u6267) != hAPP(c_Int_Onat, _u6268)) | ( _u6267 = _u6268) )).
% 19.51/19.70 cnf(fact_eq__nat__nat__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6267)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6268)) | ( _u6267 != _u6268) | ( hAPP(c_Int_Onat, _u6267) = hAPP(c_Int_Onat, _u6268)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mod__eq__0__iff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mod__eq__0__iff-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6273, _u6275) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6273 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6275), skolem128(_u6275, _u6273))) )).
% 19.51/19.70 cnf(fact_mod__eq__0__iff-2, axiom, ( ( _u6274 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6276), _u6270)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6274, _u6276) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6277)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6277), _u6278))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mod__geq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mod__geq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6279), _u6280)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6279, _u6280) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6279), _u6280), _u6280)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mod__if ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mod__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6283), _u6285)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6283, _u6285) = _u6283) )).
% 19.51/19.70 cnf(fact_mod__if-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6284), _u6286)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6284, _u6286) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6284), _u6286), _u6286)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mod__mult__self3 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mod__mult__self3-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6287), _u6288)), _u6289), _u6288) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6289, _u6288)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_le__mod__geq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_le__mod__geq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6290), _u6291)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6291, _u6290) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6291), _u6290), _u6290)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_zdiv__int ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_zdiv__int-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6292), _u6293)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6292)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6293))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Divides_Otransfer__int__nat__functions_I1_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Divides_Otransfer__int__nat__functions_I1_J-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6294)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6295)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6294), _u6295))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__number__of ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__number__of-1, axiom, ( ( hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6296)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6296)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__number__of__def ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__number__of__def-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6297) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6297))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_zpower__zadd__distrib ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_zpower__zadd__distrib-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6298), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6299), _u6300)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6298), _u6299)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6298), _u6300))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_transfer__nat__int__numerals_I2_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_transfer__nat__int__numerals_I2_J-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_zmod__int ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_zmod__int-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6301, _u6302)) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6301), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6302))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Divides_Otransfer__int__nat__functions_I2_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Divides_Otransfer__int__nat__functions_I2_J-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6303), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6304)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6303, _u6304))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_neg__nat ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_neg__nat-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u6305)) | ( hAPP(c_Int_Onat, _u6305) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_not__neg__nat ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_not__neg__nat-1, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u6306)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u6306)) = _u6306) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Ints__power ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Ints__power-1, axiom, ( ~class_Rings_Oring__1(_u6307) | ~hBOOL(hAPP(hAPP(c_member(_u6307), _u6308), c_Int_Oring__1__class_OInts(_u6307))) | hBOOL(hAPP(hAPP(c_member(_u6307), hAPP(hAPP(c_Power_Opower__class_Opower(_u6307), _u6308), _u6309)), c_Int_Oring__1__class_OInts(_u6307))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_div__nat__number__of ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_div__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6312))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6312)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6314)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.70 cnf(fact_div__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6313))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6313)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6315)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6313)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6315)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mod__nat__number__of ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mod__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6318))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6318), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6320)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.70 cnf(fact_mod__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6319))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6321))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6319), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6321)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6319)) )).
% 19.51/19.70 cnf(fact_mod__nat__number__of-3, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6319))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6321))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6319), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6321)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6319), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6321)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_one__div__nat__number__of ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_one__div__nat__number__of-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6322)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6322)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_div__le__mono2 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_div__le__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6323)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6323), _u6324)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6325), _u6324)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6325), _u6323))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__mult__div__cancel1 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__mult__div__cancel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6326)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6326), _u6327)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6326), _u6328)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6327), _u6328)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_div__mult__self__is__m ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_div__mult__self__is__m-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6329)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6330), _u6329)), _u6329) = _u6330) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_div__mult__self1__is__m ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_div__mult__self1__is__m-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6331)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6331), _u6332)), _u6331) = _u6332) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_div__less__dividend ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_div__less__dividend-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u6333)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6334)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6334), _u6333)), _u6334)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__0__iff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__0__iff-1, axiom, ( ( hAPP(c_Int_Onat, _u6336) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6336), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.70 cnf(fact_nat__0__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6337), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u6337) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__le__0 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__le__0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6338), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u6338) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__mono__iff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__mono__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6339)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6340)), hAPP(c_Int_Onat, _u6339))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6340), _u6339)) )).
% 19.51/19.70 cnf(fact_nat__mono__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6339)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6340), _u6339)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6340)), hAPP(c_Int_Onat, _u6339))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_zless__nat__conj ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_zless__nat__conj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6343)), hAPP(c_Int_Onat, _u6345))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6345)) )).
% 19.51/19.70 cnf(fact_zless__nat__conj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6343)), hAPP(c_Int_Onat, _u6345))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6343), _u6345)) )).
% 19.51/19.70 cnf(fact_zless__nat__conj-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6346)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6344), _u6346)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6344)), hAPP(c_Int_Onat, _u6346))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mod__le__divisor ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mod__le__divisor-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6347)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6348, _u6347)), _u6347)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_transfer__nat__int__relations_I3_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_transfer__nat__int__relations_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6349)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6350)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u6349)), hAPP(c_Int_Onat, _u6350))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6349), _u6350)) )).
% 19.51/19.70 cnf(fact_transfer__nat__int__relations_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6349)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6350)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6349), _u6350)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u6349)), hAPP(c_Int_Onat, _u6350))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__1 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__1-1, axiom, ( ( hAPP(c_Int_Onat, c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mod__mult__self4 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mod__mult__self4-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6351), _u6352)), _u6353)), _u6352) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u6353), _u6352)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_int__nat__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_int__nat__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6355)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u6355)) = _u6355) )).
% 19.51/19.70 cnf(fact_int__nat__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6356)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u6356)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_int__eq__iff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_int__eq__iff-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6359) != _u6361) | ( _u6359 = hAPP(c_Int_Onat, _u6361)) )).
% 19.51/19.70 cnf(fact_int__eq__iff-2, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6359) != _u6361) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6361)) )).
% 19.51/19.70 cnf(fact_int__eq__iff-3, axiom, ( ( _u6360 != hAPP(c_Int_Onat, _u6362)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6362)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6360) = _u6362) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__0__le ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__0__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6363)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u6363)) = _u6363) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_zless__nat__eq__int__zless ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_zless__nat__eq__int__zless-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6366), hAPP(c_Int_Onat, _u6368))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6366)), _u6368)) )).
% 19.51/19.70 cnf(fact_zless__nat__eq__int__zless-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6367)), _u6369)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6367), hAPP(c_Int_Onat, _u6369))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__zminus__int ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__zminus__int-1, axiom, ( ( hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6370))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_zero__le__zpower__abs ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_zero__le__zpower__abs-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6371)), _u6372))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__abs__mult__distrib ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__abs__mult__distrib-1, axiom, ( ( hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6373), _u6374))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6373))), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6374)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_one__mod__nat__number__of ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_one__mod__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6376))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6376)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.70 cnf(fact_one__mod__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6377))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6377)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6377)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_div__if ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_div__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6378)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6379), _u6378)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6379), _u6378) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.70 cnf(fact_div__if-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6378)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6379), _u6378)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6379), _u6378) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6379), _u6378)), _u6378))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_div__geq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_div__geq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6380)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6381), _u6380)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6381), _u6380) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6381), _u6380)), _u6380))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_split__div ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_split__div-1, axiom, ( ~hBOOL(hAPP(_u6389, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6391), _u6393))) | ( _u6393 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u6389, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.70 cnf(fact_split__div-2, axiom, ( ~hBOOL(hAPP(_u6389, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6391), _u6393))) | ( _u6393 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6382), _u6393)) | ( _u6391 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6393), _u6383)), _u6382)) | hBOOL(hAPP(_u6389, _u6383)) )).
% 19.51/19.70 cnf(fact_split__div-3, axiom, ( hBOOL(hAPP(_u6390, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6392), _u6394))) | ( _u6394 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem130(_u6394, _u6392, _u6390)), _u6394)) )).
% 19.51/19.70 cnf(fact_split__div-4, axiom, ( hBOOL(hAPP(_u6390, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6392), _u6394))) | ( _u6394 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6392 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6394), skolem129(_u6394, _u6392, _u6390))), skolem130(_u6394, _u6392, _u6390))) )).
% 19.51/19.70 cnf(fact_split__div-5, axiom, ( hBOOL(hAPP(_u6390, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6392), _u6394))) | ( _u6394 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u6390, skolem129(_u6394, _u6392, _u6390))) )).
% 19.51/19.70 cnf(fact_split__div-6, axiom, ( hBOOL(hAPP(_u6390, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6392), _u6394))) | ~hBOOL(hAPP(_u6390, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6394 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.70 cnf(fact_split__div-7, axiom, ( hBOOL(hAPP(_u6390, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6392), _u6394))) | ~hBOOL(hAPP(_u6390, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem130(_u6394, _u6392, _u6390)), _u6394)) )).
% 19.51/19.70 cnf(fact_split__div-8, axiom, ( hBOOL(hAPP(_u6390, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6392), _u6394))) | ~hBOOL(hAPP(_u6390, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6392 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6394), skolem129(_u6394, _u6392, _u6390))), skolem130(_u6394, _u6392, _u6390))) )).
% 19.51/19.70 cnf(fact_split__div-9, axiom, ( hBOOL(hAPP(_u6390, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6392), _u6394))) | ~hBOOL(hAPP(_u6390, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u6390, skolem129(_u6394, _u6392, _u6390))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_zero__less__nat__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_zero__less__nat__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u6396))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6396)) )).
% 19.51/19.70 cnf(fact_zero__less__nat__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6397)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u6397))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_transfer__nat__int__relations_I2_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_transfer__nat__int__relations_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6398)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6399)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6398)), hAPP(c_Int_Onat, _u6399))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6398), _u6399)) )).
% 19.51/19.70 cnf(fact_transfer__nat__int__relations_I2_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6398)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6399)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6398), _u6399)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6398)), hAPP(c_Int_Onat, _u6399))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__less__eq__zless ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__less__eq__zless-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6400)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6400)), hAPP(c_Int_Onat, _u6401))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6400), _u6401)) )).
% 19.51/19.70 cnf(fact_nat__less__eq__zless-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6400)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6400), _u6401)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6400)), hAPP(c_Int_Onat, _u6401))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__eq__iff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__eq__iff-1, axiom, ( ( hAPP(c_Int_Onat, _u6404) != _u6406) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6404)) | ( _u6404 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6406)) )).
% 19.51/19.70 cnf(fact_nat__eq__iff-2, axiom, ( ( hAPP(c_Int_Onat, _u6404) != _u6406) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6404)) | ( _u6406 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.70 cnf(fact_nat__eq__iff-3, axiom, ( ( hAPP(c_Int_Onat, _u6405) = _u6407) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6405)) | ( _u6407 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.70 cnf(fact_nat__eq__iff-4, axiom, ( ( hAPP(c_Int_Onat, _u6405) = _u6407) | ( _u6405 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6407)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6405)) )).
% 19.51/19.70 cnf(fact_nat__eq__iff-5, axiom, ( ( hAPP(c_Int_Onat, _u6405) = _u6407) | ( _u6405 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6407)) | ( _u6407 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__eq__iff2 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__eq__iff2-1, axiom, ( ( _u6410 != hAPP(c_Int_Onat, _u6412)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6412)) | ( _u6412 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6410)) )).
% 19.51/19.70 cnf(fact_nat__eq__iff2-2, axiom, ( ( _u6410 != hAPP(c_Int_Onat, _u6412)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6412)) | ( _u6410 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.70 cnf(fact_nat__eq__iff2-3, axiom, ( ( _u6411 = hAPP(c_Int_Onat, _u6413)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6413)) | ( _u6411 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.70 cnf(fact_nat__eq__iff2-4, axiom, ( ( _u6411 = hAPP(c_Int_Onat, _u6413)) | ( _u6413 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6411)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6413)) )).
% 19.51/19.70 cnf(fact_nat__eq__iff2-5, axiom, ( ( _u6411 = hAPP(c_Int_Onat, _u6413)) | ( _u6413 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6411)) | ( _u6411 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__le__eq__zle ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__le__eq__zle-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6414)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u6414)), hAPP(c_Int_Onat, _u6415))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6414), _u6415)) )).
% 19.51/19.70 cnf(fact_nat__le__eq__zle-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6414)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6414), _u6415)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u6414)), hAPP(c_Int_Onat, _u6415))) )).
% 19.51/19.70 cnf(fact_nat__le__eq__zle-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6415)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u6414)), hAPP(c_Int_Onat, _u6415))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6414), _u6415)) )).
% 19.51/19.70 cnf(fact_nat__le__eq__zle-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6415)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6414), _u6415)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u6414)), hAPP(c_Int_Onat, _u6415))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_split__nat ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_split__nat-1, axiom, ( ~hBOOL(hAPP(_u6420, hAPP(c_Int_Onat, _u6422))) | ( _u6422 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6416)) | hBOOL(hAPP(_u6420, _u6416)) )).
% 19.51/19.70 cnf(fact_split__nat-2, axiom, ( ~hBOOL(hAPP(_u6420, hAPP(c_Int_Onat, _u6422))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6422), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(_u6420, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.70 cnf(fact_split__nat-3, axiom, ( hBOOL(hAPP(_u6421, hAPP(c_Int_Onat, _u6423))) | ( _u6423 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem131(_u6423, _u6421))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6423), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.70 cnf(fact_split__nat-4, axiom, ( hBOOL(hAPP(_u6421, hAPP(c_Int_Onat, _u6423))) | ( _u6423 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem131(_u6423, _u6421))) | ~hBOOL(hAPP(_u6421, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.70 cnf(fact_split__nat-5, axiom, ( hBOOL(hAPP(_u6421, hAPP(c_Int_Onat, _u6423))) | ~hBOOL(hAPP(_u6421, skolem131(_u6423, _u6421))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6423), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.70 cnf(fact_split__nat-6, axiom, ( hBOOL(hAPP(_u6421, hAPP(c_Int_Onat, _u6423))) | ~hBOOL(hAPP(_u6421, skolem131(_u6423, _u6421))) | ~hBOOL(hAPP(_u6421, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_split__mod ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_split__mod-1, axiom, ( ~hBOOL(hAPP(_u6431, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6433, _u6435))) | ( _u6435 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u6431, _u6433)) )).
% 19.51/19.70 cnf(fact_split__mod-2, axiom, ( ~hBOOL(hAPP(_u6431, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6433, _u6435))) | ( _u6435 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6424), _u6435)) | ( _u6433 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6435), _u6425)), _u6424)) | hBOOL(hAPP(_u6431, _u6424)) )).
% 19.51/19.70 cnf(fact_split__mod-3, axiom, ( hBOOL(hAPP(_u6432, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6434, _u6436))) | ( _u6436 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem133(_u6436, _u6434, _u6432)), _u6436)) )).
% 19.51/19.70 cnf(fact_split__mod-4, axiom, ( hBOOL(hAPP(_u6432, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6434, _u6436))) | ( _u6436 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6434 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6436), skolem132(_u6436, _u6434, _u6432))), skolem133(_u6436, _u6434, _u6432))) )).
% 19.51/19.70 cnf(fact_split__mod-5, axiom, ( hBOOL(hAPP(_u6432, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6434, _u6436))) | ( _u6436 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u6432, skolem133(_u6436, _u6434, _u6432))) )).
% 19.51/19.70 cnf(fact_split__mod-6, axiom, ( hBOOL(hAPP(_u6432, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6434, _u6436))) | ~hBOOL(hAPP(_u6432, _u6434)) | ( _u6436 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.70 cnf(fact_split__mod-7, axiom, ( hBOOL(hAPP(_u6432, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6434, _u6436))) | ~hBOOL(hAPP(_u6432, _u6434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem133(_u6436, _u6434, _u6432)), _u6436)) )).
% 19.51/19.70 cnf(fact_split__mod-8, axiom, ( hBOOL(hAPP(_u6432, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6434, _u6436))) | ~hBOOL(hAPP(_u6432, _u6434)) | ( _u6434 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6436), skolem132(_u6436, _u6434, _u6432))), skolem133(_u6436, _u6434, _u6432))) )).
% 19.51/19.70 cnf(fact_split__mod-9, axiom, ( hBOOL(hAPP(_u6432, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6434, _u6436))) | ~hBOOL(hAPP(_u6432, _u6434)) | ~hBOOL(hAPP(_u6432, skolem133(_u6436, _u6434, _u6432))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mod__lemma ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mod__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6438), _u6439)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6439), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6440, _u6437))), _u6438)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6439), _u6437))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6441)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6442)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u6441)), hAPP(c_Int_Onat, _u6442)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6441), _u6442))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__add__distrib ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__add__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6443)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6444)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6443), _u6444)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u6443)), hAPP(c_Int_Onat, _u6444))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power3__eq__cube ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power3__eq__cube-1, axiom, ( ~class_Groups_Omonoid__mult(_u6445) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6445), _u6446), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6445), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6445), _u6446), _u6446)), _u6446)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_int__eq__iff__number__of ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_int__eq__iff__number__of-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6449) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6451)) | ( _u6449 = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6451))) )).
% 19.51/19.70 cnf(fact_int__eq__iff__number__of-2, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6449) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6451)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6451))) )).
% 19.51/19.70 cnf(fact_int__eq__iff__number__of-3, axiom, ( ( _u6450 != hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6452))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6452))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6450) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6452)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6453)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6454)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u6453)), hAPP(c_Int_Onat, _u6454)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6453), _u6454))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__mult__distrib ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__mult__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6455)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6455), _u6456)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u6455)), hAPP(c_Int_Onat, _u6456))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__diff__distrib ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__diff__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6457)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6457), _u6458)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6458), _u6457)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u6458)), hAPP(c_Int_Onat, _u6457))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Suc__times__mod__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Suc__times__mod__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u6459)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6459), _u6460)), _u6459) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_transfer__nat__int__numerals_I4_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_transfer__nat__int__numerals_I4_J-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__eq__if ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__eq__if-1, axiom, ( ( _u6463 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6465), _u6463) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 19.51/19.70 cnf(fact_power__eq__if-2, axiom, ( ( _u6464 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6466), _u6464) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6466), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6466), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6464), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_zero__less__zpower__abs__iff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_zero__less__zpower__abs__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6469)), _u6471))) | ( _u6469 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6471 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.70 cnf(fact_zero__less__zpower__abs__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6470)), _u6472))) | ( _u6470 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.51/19.70 cnf(fact_zero__less__zpower__abs__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6470)), _u6472))) | ( _u6472 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6473)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6474)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u6473)), hAPP(c_Int_Onat, _u6474)) = hAPP(c_Int_Onat, c_Nat__Transfer_Otsub(_u6473, _u6474))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_le__div__geq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_le__div__geq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6475)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6475), _u6476)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6476), _u6475) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6476), _u6475)), _u6475))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_split__div_H ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_split__div_H-1, axiom, ( ~hBOOL(hAPP(_u6482, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6484), _u6486))) | ( _u6486 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6486), skolem134(_u6486, _u6484, _u6482))), _u6484)) )).
% 19.51/19.70 cnf(fact_split__div_H-2, axiom, ( ~hBOOL(hAPP(_u6482, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6484), _u6486))) | ( _u6486 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6484), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6486), hAPP(c_Nat_OSuc, skolem134(_u6486, _u6484, _u6482))))) )).
% 19.51/19.70 cnf(fact_split__div_H-3, axiom, ( ~hBOOL(hAPP(_u6482, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6484), _u6486))) | ( _u6486 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u6482, skolem134(_u6486, _u6484, _u6482))) )).
% 19.51/19.70 cnf(fact_split__div_H-4, axiom, ( ~hBOOL(hAPP(_u6482, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6484), _u6486))) | hBOOL(hAPP(_u6482, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6486), skolem134(_u6486, _u6484, _u6482))), _u6484)) )).
% 19.51/19.70 cnf(fact_split__div_H-5, axiom, ( ~hBOOL(hAPP(_u6482, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6484), _u6486))) | hBOOL(hAPP(_u6482, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6484), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6486), hAPP(c_Nat_OSuc, skolem134(_u6486, _u6484, _u6482))))) )).
% 19.51/19.70 cnf(fact_split__div_H-6, axiom, ( ~hBOOL(hAPP(_u6482, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6484), _u6486))) | hBOOL(hAPP(_u6482, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u6482, skolem134(_u6486, _u6484, _u6482))) )).
% 19.51/19.70 cnf(fact_split__div_H-7, axiom, ( hBOOL(hAPP(_u6483, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6485), _u6487))) | ( _u6487 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u6483, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.70 cnf(fact_split__div_H-8, axiom, ( hBOOL(hAPP(_u6483, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6485), _u6487))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6487), _u6478)), _u6485)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6485), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6487), hAPP(c_Nat_OSuc, _u6478)))) | ~hBOOL(hAPP(_u6483, _u6478)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_split__div__lemma ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_split__div__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6488)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6488), _u6489)), _u6490)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6490), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6488), hAPP(c_Nat_OSuc, _u6489)))) | ( _u6489 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6490), _u6488)) )).
% 19.51/19.70 cnf(fact_split__div__lemma-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6488)) | ( _u6489 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6490), _u6488)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6488), _u6489)), _u6490)) )).
% 19.51/19.70 cnf(fact_split__div__lemma-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6488)) | ( _u6489 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6490), _u6488)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6490), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6488), hAPP(c_Nat_OSuc, _u6489)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_div__Suc__eq__div__add3 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_div__Suc__eq__div__add3-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6491), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u6492)))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6491), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))), _u6492))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Suc__div__eq__add3__div ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Suc__div__eq__add3__div-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u6493)))), _u6494) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))), _u6493)), _u6494)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Suc__div__eq__add3__div__number__of ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Suc__div__eq__add3__div__number__of-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u6495)))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6496)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))), _u6495)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6496))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_div2__Suc__Suc ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_div2__Suc__Suc-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u6497))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6497), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_add__self__div__2 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_add__self__div__2-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6498), _u6498)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _u6498) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_one__less__nat__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_one__less__nat__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), hAPP(c_Int_Onat, _u6500))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u6500)) )).
% 19.51/19.70 cnf(fact_one__less__nat__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u6501)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), hAPP(c_Int_Onat, _u6501))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__less__iff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__less__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6502)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6502)), _u6503)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6502), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6503))) )).
% 19.51/19.70 cnf(fact_nat__less__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6502)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6502), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6503))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6502)), _u6503)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Suc__nat__eq__nat__zadd1 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Suc__nat__eq__nat__zadd1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6504)) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onat, _u6504)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u6504))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mod__Suc__eq__mod__add3 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mod__Suc__eq__mod__add3-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6505, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u6506)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6505, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))), _u6506))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Suc__mod__eq__add3__mod ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Suc__mod__eq__add3__mod-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u6507))), _u6508) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))), _u6507), _u6508)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Suc__mod__eq__add3__mod__number__of ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Suc__mod__eq__add3__mod__number__of-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u6509))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6510)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))), _u6509), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6510))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_zero__eq__power2 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_zero__eq__power2-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u6511) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6511), _u6512), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(_u6511)) | ( _u6512 = c_Groups_Ozero__class_Ozero(_u6511)) )).
% 19.51/19.70 cnf(fact_zero__eq__power2-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u6511) | ( _u6512 != c_Groups_Ozero__class_Ozero(_u6511)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6511), _u6512), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u6511)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_zero__power2 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_zero__power2-1, axiom, ( ~class_Rings_Osemiring__1(_u6513) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6513), c_Groups_Ozero__class_Ozero(_u6513)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u6513)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6514) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6514), _u6515), _u6515) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6514), _u6515), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power2__eq__square ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power2__eq__square-1, axiom, ( ~class_Groups_Omonoid__mult(_u6516) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6516), _u6517), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6516), _u6517), _u6517)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mod2__Suc__Suc ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mod2__Suc__Suc-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u6518)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6518, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_one__power2 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_one__power2-1, axiom, ( ~class_Rings_Osemiring__1(_u6519) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6519), c_Groups_Oone__class_Oone(_u6519)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u6519)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_transfer__nat__int__numerals_I3_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_transfer__nat__int__numerals_I3_J-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power2__minus ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power2__minus-1, axiom, ( ~class_Rings_Oring__1(_u6520) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6520), hAPP(c_Groups_Ouminus__class_Ouminus(_u6520), _u6521)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6520), _u6521), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__mult__distrib__neg ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__mult__distrib__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6522), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6522), _u6523)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6522))), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6523)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__even__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__even__eq-1, axiom, ( ~class_Groups_Omonoid__mult(_u6524) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6524), _u6525), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6526)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6524), hAPP(hAPP(c_Power_Opower__class_Opower(_u6524), _u6525), _u6526)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_abs__power2 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_abs__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u6527) | ( hAPP(c_Groups_Oabs__class_Oabs(_u6527), hAPP(hAPP(c_Power_Opower__class_Opower(_u6527), _u6528), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6527), _u6528), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power2__abs ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power2__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u6529) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6529), hAPP(c_Groups_Oabs__class_Oabs(_u6529), _u6530)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6529), _u6530), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power2__eq__imp__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power2__eq__imp__eq-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6531) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6531), _u6532), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != hAPP(hAPP(c_Power_Opower__class_Opower(_u6531), _u6533), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6531), c_Groups_Ozero__class_Ozero(_u6531)), _u6532)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6531), c_Groups_Ozero__class_Ozero(_u6531)), _u6533)) | ( _u6532 = _u6533) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power2__le__imp__le ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power2__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6534) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6534), hAPP(hAPP(c_Power_Opower__class_Opower(_u6534), _u6535), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6534), _u6536), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6534), c_Groups_Ozero__class_Ozero(_u6534)), _u6536)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6534), _u6535), _u6536)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_zero__le__power2 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_zero__le__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u6537) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6537), c_Groups_Ozero__class_Ozero(_u6537)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6537), _u6538), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power2__less__0 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power2__less__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u6539) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6539), hAPP(hAPP(c_Power_Opower__class_Opower(_u6539), _u6540), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u6539))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_zero__less__power2 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_zero__less__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u6541) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6541), c_Groups_Ozero__class_Ozero(_u6541)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6541), _u6542), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( _u6542 != c_Groups_Ozero__class_Ozero(_u6541)) )).
% 19.51/19.70 cnf(fact_zero__less__power2-2, axiom, ( ~class_Rings_Olinordered__idom(_u6541) | ( _u6542 = c_Groups_Ozero__class_Ozero(_u6541)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6541), c_Groups_Ozero__class_Ozero(_u6541)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6541), _u6542), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_sum__power2__eq__zero__iff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_sum__power2__eq__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u6543) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6543), hAPP(hAPP(c_Power_Opower__class_Opower(_u6543), _u6544), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6543), _u6545), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u6543)) | ( _u6544 = c_Groups_Ozero__class_Ozero(_u6543)) )).
% 19.51/19.70 cnf(fact_sum__power2__eq__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u6543) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6543), hAPP(hAPP(c_Power_Opower__class_Opower(_u6543), _u6544), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6543), _u6545), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u6543)) | ( _u6545 = c_Groups_Ozero__class_Ozero(_u6543)) )).
% 19.51/19.70 cnf(fact_sum__power2__eq__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u6543) | ( _u6544 != c_Groups_Ozero__class_Ozero(_u6543)) | ( _u6545 != c_Groups_Ozero__class_Ozero(_u6543)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6543), hAPP(hAPP(c_Power_Opower__class_Opower(_u6543), _u6544), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6543), _u6545), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(_u6543)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__2 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__2-1, axiom, ( ( hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power2__eq__square__number__of ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power2__eq__square__number__of-1, axiom, ( ~class_Groups_Omonoid__mult(_u6546) | ~class_Int_Onumber(_u6546) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6546), hAPP(c_Int_Onumber__class_Onumber__of(_u6546), _u6547)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6546), hAPP(c_Int_Onumber__class_Onumber__of(_u6546), _u6547)), hAPP(c_Int_Onumber__class_Onumber__of(_u6546), _u6547))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power2__eq__1__iff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power2__eq__1__iff-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u6548) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6548), _u6549), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Oone__class_Oone(_u6548)) | ( _u6549 = c_Groups_Oone__class_Oone(_u6548)) | ( _u6549 = hAPP(c_Groups_Ouminus__class_Ouminus(_u6548), c_Groups_Oone__class_Oone(_u6548))) )).
% 19.51/19.70 cnf(fact_power2__eq__1__iff-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u6548) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6548), _u6549), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u6548)) | ( _u6549 != c_Groups_Oone__class_Oone(_u6548)) )).
% 19.51/19.70 cnf(fact_power2__eq__1__iff-3, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u6548) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6548), _u6549), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u6548)) | ( _u6549 != hAPP(c_Groups_Ouminus__class_Ouminus(_u6548), c_Groups_Oone__class_Oone(_u6548))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6550) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6550), _u6551), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6552)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6550), hAPP(hAPP(c_Power_Opower__class_Opower(_u6550), _u6551), _u6552)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6550), _u6551), _u6552))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__minus__even ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__minus__even-1, axiom, ( ~class_Rings_Oring__1(_u6553) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6553), hAPP(c_Groups_Ouminus__class_Ouminus(_u6553), _u6554)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6555)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6553), _u6554), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6555))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_div__2__gt__zero ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_div__2__gt__zero-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u6556)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6556), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power2__less__imp__less ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power2__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6557) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6557), hAPP(hAPP(c_Power_Opower__class_Opower(_u6557), _u6558), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6557), _u6559), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6557), c_Groups_Ozero__class_Ozero(_u6557)), _u6559)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6557), _u6558), _u6559)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_sum__power2__ge__zero ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_sum__power2__ge__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u6560) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6560), c_Groups_Ozero__class_Ozero(_u6560)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6560), hAPP(hAPP(c_Power_Opower__class_Opower(_u6560), _u6561), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6560), _u6562), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_sum__power2__le__zero__iff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_sum__power2__le__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u6563) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6563), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6563), hAPP(hAPP(c_Power_Opower__class_Opower(_u6563), _u6564), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6563), _u6565), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u6563))) | ( _u6564 = c_Groups_Ozero__class_Ozero(_u6563)) )).
% 19.51/19.70 cnf(fact_sum__power2__le__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u6563) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6563), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6563), hAPP(hAPP(c_Power_Opower__class_Opower(_u6563), _u6564), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6563), _u6565), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u6563))) | ( _u6565 = c_Groups_Ozero__class_Ozero(_u6563)) )).
% 19.51/19.70 cnf(fact_sum__power2__le__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u6563) | ( _u6564 != c_Groups_Ozero__class_Ozero(_u6563)) | ( _u6565 != c_Groups_Ozero__class_Ozero(_u6563)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6563), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6563), hAPP(hAPP(c_Power_Opower__class_Opower(_u6563), _u6564), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6563), _u6565), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u6563))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_sum__power2__gt__zero__iff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_sum__power2__gt__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u6566) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6566), c_Groups_Ozero__class_Ozero(_u6566)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6566), hAPP(hAPP(c_Power_Opower__class_Opower(_u6566), _u6567), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6566), _u6568), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u6567 != c_Groups_Ozero__class_Ozero(_u6566)) | ( _u6568 != c_Groups_Ozero__class_Ozero(_u6566)) )).
% 19.51/19.70 cnf(fact_sum__power2__gt__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u6566) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6566), c_Groups_Ozero__class_Ozero(_u6566)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6566), hAPP(hAPP(c_Power_Opower__class_Opower(_u6566), _u6567), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6566), _u6568), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u6567 = c_Groups_Ozero__class_Ozero(_u6566)) )).
% 19.51/19.70 cnf(fact_sum__power2__gt__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u6566) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6566), c_Groups_Ozero__class_Ozero(_u6566)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6566), hAPP(hAPP(c_Power_Opower__class_Opower(_u6566), _u6567), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6566), _u6568), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u6568 = c_Groups_Ozero__class_Ozero(_u6566)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_not__sum__power2__lt__zero ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_not__sum__power2__lt__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u6569) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6569), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6569), hAPP(hAPP(c_Power_Opower__class_Opower(_u6569), _u6570), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6569), _u6571), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u6569))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power2__sum ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power2__sum-1, axiom, ( ~class_Int_Onumber__ring(_u6572) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6572), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6572), _u6573), _u6574)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6572), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6572), hAPP(hAPP(c_Power_Opower__class_Opower(_u6572), _u6573), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6572), _u6574), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6572), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6572), hAPP(c_Int_Onumber__class_Onumber__of(_u6572), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6573)), _u6574))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_zero__le__even__power_H ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_zero__le__even__power_H-1, axiom, ( ~class_Rings_Olinordered__idom(_u6575) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6575), c_Groups_Ozero__class_Ozero(_u6575)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6575), _u6576), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6577)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__odd__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__odd__eq-1, axiom, ( ~class_Groups_Omonoid__mult(_u6578) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6578), _u6579), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6580))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6578), _u6579), hAPP(hAPP(c_Power_Opower__class_Opower(_u6578), hAPP(hAPP(c_Power_Opower__class_Opower(_u6578), _u6579), _u6580)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u6581) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6581), _u6582), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6583))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6581), _u6582), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6581), hAPP(hAPP(c_Power_Opower__class_Opower(_u6581), _u6582), _u6583)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6581), _u6582), _u6583)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mod2__gr__0 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mod2__gr__0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6585, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6585, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 19.51/19.70 cnf(fact_mod2__gr__0-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6586, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6586, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__minus1__even ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__minus1__even-1, axiom, ( ~class_Rings_Oring__1(_u6587) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6587), hAPP(c_Groups_Ouminus__class_Ouminus(_u6587), c_Groups_Oone__class_Oone(_u6587))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6588)) = c_Groups_Oone__class_Oone(_u6587)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_int__power__div__base ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_int__power__div__base-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6589)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6590)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6590), _u6589)), _u6590) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6590), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6589), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Suc__n__div__2__gt__zero ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Suc__n__div__2__gt__zero-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6591)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6591), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power2__diff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power2__diff-1, axiom, ( ~class_Int_Onumber__ring(_u6592) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6592), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6592), _u6593), _u6594)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6592), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6592), hAPP(hAPP(c_Power_Opower__class_Opower(_u6592), _u6593), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6592), _u6594), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6592), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6592), hAPP(c_Int_Onumber__class_Onumber__of(_u6592), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6593)), _u6594))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_odd__0__le__power__imp__0__le ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_odd__0__le__power__imp__0__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u6595) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6595), c_Groups_Ozero__class_Ozero(_u6595)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6595), _u6596), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6597))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6595), c_Groups_Ozero__class_Ozero(_u6595)), _u6596)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_int__of__code ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_int__of__code-1, axiom, ( ( _u6599 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Code__Numeral_Oint__of, _u6599) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.51/19.70 cnf(fact_int__of__code-2, axiom, ( ( _u6600 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u6600, hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Code__Numeral_Oint__of, _u6600) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), hAPP(c_Code__Numeral_Oint__of, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u6600), hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 19.51/19.70 cnf(fact_int__of__code-3, axiom, ( ( _u6600 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u6600, hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Code__Numeral_Oint__of, _u6600) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), hAPP(c_Code__Numeral_Oint__of, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u6600), hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__strict__mono ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__strict__mono-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6601) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6601), _u6602), _u6603)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6601), c_Groups_Ozero__class_Ozero(_u6601)), _u6602)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6604)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6601), hAPP(hAPP(c_Power_Opower__class_Opower(_u6601), _u6602), _u6604)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6601), _u6603), _u6604))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__diff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__diff-1, axiom, ( ~class_Fields_Ofield(_u6605) | ( _u6606 = c_Groups_Ozero__class_Ozero(_u6605)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6607), _u6608)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6605), _u6606), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6608), _u6607)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6605), hAPP(hAPP(c_Power_Opower__class_Opower(_u6605), _u6606), _u6608)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6605), _u6606), _u6607))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_one__less__power ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_one__less__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6609) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6609), c_Groups_Oone__class_Oone(_u6609)), _u6610)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6611)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6609), c_Groups_Oone__class_Oone(_u6609)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6609), _u6610), _u6611))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__le__imp__le__exp ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__le__imp__le__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6612) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6612), c_Groups_Oone__class_Oone(_u6612)), _u6613)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6612), hAPP(hAPP(c_Power_Opower__class_Opower(_u6612), _u6613), _u6614)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6612), _u6613), _u6615))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6614), _u6615)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_field__power__not__zero ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_field__power__not__zero-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u6616) | ( _u6617 = c_Groups_Ozero__class_Ozero(_u6616)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6616), _u6617), _u6618) != c_Groups_Ozero__class_Ozero(_u6616)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__Suc__0 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__Suc__0-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6619) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__power__eq__Suc__0__iff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__power__eq__Suc__0__iff-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6622), _u6624) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6624 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6622 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.70 cnf(fact_nat__power__eq__Suc__0__iff-2, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6623), _u6625) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6625 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.70 cnf(fact_nat__power__eq__Suc__0__iff-3, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6623), _u6625) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6623 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__zero__less__power__iff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__zero__less__power__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6628), _u6630))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6628)) | ( _u6630 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.70 cnf(fact_nat__zero__less__power__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6629), _u6631))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6629)) )).
% 19.51/19.70 cnf(fact_nat__zero__less__power__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6629), _u6631))) | ( _u6631 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__power__less__imp__less ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__power__less__imp__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6632)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6632), _u6633)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6632), _u6634))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6633), _u6634)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__commutes ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__commutes-1, axiom, ( ~class_Groups_Omonoid__mult(_u6635) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6635), hAPP(hAPP(c_Power_Opower__class_Opower(_u6635), _u6636), _u6637)), _u6636) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6635), _u6636), hAPP(hAPP(c_Power_Opower__class_Opower(_u6635), _u6636), _u6637))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__mult__distrib ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__mult__distrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u6638) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6638), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6638), _u6639), _u6640)), _u6641) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6638), hAPP(hAPP(c_Power_Opower__class_Opower(_u6638), _u6639), _u6641)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6638), _u6640), _u6641))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__one ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__one-1, axiom, ( ~class_Groups_Omonoid__mult(_u6642) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6642), c_Groups_Oone__class_Oone(_u6642)), _u6643) = c_Groups_Oone__class_Oone(_u6642)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_of__nat__power ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_of__nat__power-1, axiom, ( ~class_Rings_Osemiring__1(_u6644) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6644), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6645), _u6646)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6644), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6644), _u6645)), _u6646)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__mult ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__mult-1, axiom, ( ~class_Groups_Omonoid__mult(_u6647) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6647), _u6648), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6649), _u6650)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6647), hAPP(hAPP(c_Power_Opower__class_Opower(_u6647), _u6648), _u6649)), _u6650)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__divide ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u6651) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6651), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6651), _u6652), _u6653)), _u6654) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6651), hAPP(hAPP(c_Power_Opower__class_Opower(_u6651), _u6652), _u6654)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6651), _u6653), _u6654))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__abs ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u6655) | ( hAPP(c_Groups_Oabs__class_Oabs(_u6655), hAPP(hAPP(c_Power_Opower__class_Opower(_u6655), _u6656), _u6657)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6655), hAPP(c_Groups_Oabs__class_Oabs(_u6655), _u6656)), _u6657)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__one__right ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__one__right-1, axiom, ( ~class_Groups_Omonoid__mult(_u6658) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6658), _u6659), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u6659) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_zero__le__power ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_zero__le__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6660) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6660), c_Groups_Ozero__class_Ozero(_u6660)), _u6661)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6660), c_Groups_Ozero__class_Ozero(_u6660)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6660), _u6661), _u6662))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__mono ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__mono-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6663) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6663), _u6664), _u6665)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6663), c_Groups_Ozero__class_Ozero(_u6663)), _u6664)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6663), hAPP(hAPP(c_Power_Opower__class_Opower(_u6663), _u6664), _u6666)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6663), _u6665), _u6666))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_zero__less__power ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_zero__less__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6667) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6667), c_Groups_Ozero__class_Ozero(_u6667)), _u6668)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6667), c_Groups_Ozero__class_Ozero(_u6667)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6667), _u6668), _u6669))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__eq__0__iff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__eq__0__iff-1, axiom, ( ~class_Power_Opower(_u6670) | ~class_Rings_Omult__zero(_u6670) | ~class_Rings_Ono__zero__divisors(_u6670) | ~class_Rings_Ozero__neq__one(_u6670) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6670), _u6671), _u6672) != c_Groups_Ozero__class_Ozero(_u6670)) | ( _u6671 = c_Groups_Ozero__class_Ozero(_u6670)) )).
% 19.51/19.70 cnf(fact_power__eq__0__iff-2, axiom, ( ~class_Power_Opower(_u6670) | ~class_Rings_Omult__zero(_u6670) | ~class_Rings_Ono__zero__divisors(_u6670) | ~class_Rings_Ozero__neq__one(_u6670) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6670), _u6671), _u6672) != c_Groups_Ozero__class_Ozero(_u6670)) | ( _u6672 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.70 cnf(fact_power__eq__0__iff-3, axiom, ( ~class_Power_Opower(_u6670) | ~class_Rings_Omult__zero(_u6670) | ~class_Rings_Ono__zero__divisors(_u6670) | ~class_Rings_Ozero__neq__one(_u6670) | ( _u6671 != c_Groups_Ozero__class_Ozero(_u6670)) | ( _u6672 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6670), _u6671), _u6672) = c_Groups_Ozero__class_Ozero(_u6670)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_one__le__power ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_one__le__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6673) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6673), c_Groups_Oone__class_Oone(_u6673)), _u6674)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6673), c_Groups_Oone__class_Oone(_u6673)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6673), _u6674), _u6675))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__0__Suc ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__0__Suc-1, axiom, ( ~class_Power_Opower(_u6676) | ~class_Rings_Osemiring__0(_u6676) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6676), c_Groups_Ozero__class_Ozero(_u6676)), hAPP(c_Nat_OSuc, _u6677)) = c_Groups_Ozero__class_Ozero(_u6676)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__inject__exp ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__inject__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6678) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6678), c_Groups_Oone__class_Oone(_u6678)), _u6679)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6678), _u6679), _u6680) != hAPP(hAPP(c_Power_Opower__class_Opower(_u6678), _u6679), _u6681)) | ( _u6680 = _u6681) )).
% 19.51/19.70 cnf(fact_power__inject__exp-2, axiom, ( ~class_Rings_Olinordered__semidom(_u6678) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6678), c_Groups_Oone__class_Oone(_u6678)), _u6679)) | ( _u6680 != _u6681) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6678), _u6679), _u6680) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6678), _u6679), _u6681)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__Suc2 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__Suc2-1, axiom, ( ~class_Groups_Omonoid__mult(_u6682) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6682), _u6683), hAPP(c_Nat_OSuc, _u6684)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6682), hAPP(hAPP(c_Power_Opower__class_Opower(_u6682), _u6683), _u6684)), _u6683)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__Suc ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__Suc-1, axiom, ( ~class_Power_Opower(_u6685) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6685), _u6686), hAPP(c_Nat_OSuc, _u6687)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6685), _u6686), hAPP(hAPP(c_Power_Opower__class_Opower(_u6685), _u6686), _u6687))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__one__le__power ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__one__le__power-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6688)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6688), _u6689))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__0 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__0-1, axiom, ( ~class_Power_Opower(_u6690) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6690), _u6691), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u6690)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__add ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__add-1, axiom, ( ~class_Groups_Omonoid__mult(_u6692) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6692), _u6693), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6694), _u6695)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6692), hAPP(hAPP(c_Power_Opower__class_Opower(_u6692), _u6693), _u6694)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6692), _u6693), _u6695))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nonzero__power__divide ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nonzero__power__divide-1, axiom, ( ~class_Fields_Ofield(_u6696) | ( _u6697 = c_Groups_Ozero__class_Ozero(_u6696)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6696), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6696), _u6698), _u6697)), _u6699) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6696), hAPP(hAPP(c_Power_Opower__class_Opower(_u6696), _u6698), _u6699)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6696), _u6697), _u6699))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__one__over ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__one__over-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u6700) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6700), c_Groups_Oone__class_Oone(_u6700)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6700), _u6701), _u6702)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6700), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6700), c_Groups_Oone__class_Oone(_u6700)), _u6701)), _u6702)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_abs__power__minus ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_abs__power__minus-1, axiom, ( ~class_Rings_Olinordered__idom(_u6703) | ( hAPP(c_Groups_Oabs__class_Oabs(_u6703), hAPP(hAPP(c_Power_Opower__class_Opower(_u6703), hAPP(c_Groups_Ouminus__class_Ouminus(_u6703), _u6704)), _u6705)) = hAPP(c_Groups_Oabs__class_Oabs(_u6703), hAPP(hAPP(c_Power_Opower__class_Opower(_u6703), _u6704), _u6705))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__less__imp__less__base ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__less__imp__less__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6706) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6706), hAPP(hAPP(c_Power_Opower__class_Opower(_u6706), _u6707), _u6708)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6706), _u6709), _u6708))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6706), c_Groups_Ozero__class_Ozero(_u6706)), _u6709)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6706), _u6707), _u6709)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__le__imp__le__base ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__le__imp__le__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6710) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6710), hAPP(hAPP(c_Power_Opower__class_Opower(_u6710), _u6711), hAPP(c_Nat_OSuc, _u6712))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6710), _u6713), hAPP(c_Nat_OSuc, _u6712)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6710), c_Groups_Ozero__class_Ozero(_u6710)), _u6713)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6710), _u6711), _u6713)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__inject__base ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__inject__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6714) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6714), _u6715), hAPP(c_Nat_OSuc, _u6716)) != hAPP(hAPP(c_Power_Opower__class_Opower(_u6714), _u6717), hAPP(c_Nat_OSuc, _u6716))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6714), c_Groups_Ozero__class_Ozero(_u6714)), _u6715)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6714), c_Groups_Ozero__class_Ozero(_u6714)), _u6717)) | ( _u6715 = _u6717) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__less__power__Suc ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__less__power__Suc-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6718) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6718), c_Groups_Oone__class_Oone(_u6718)), _u6719)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6718), hAPP(hAPP(c_Power_Opower__class_Opower(_u6718), _u6719), _u6720)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6718), _u6719), hAPP(hAPP(c_Power_Opower__class_Opower(_u6718), _u6719), _u6720)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__gt1__lemma ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__gt1__lemma-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6721) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6721), c_Groups_Oone__class_Oone(_u6721)), _u6722)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6721), c_Groups_Oone__class_Oone(_u6721)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6721), _u6722), hAPP(hAPP(c_Power_Opower__class_Opower(_u6721), _u6722), _u6723)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__0__left ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__0__left-1, axiom, ( ~class_Power_Opower(_u6724) | ~class_Rings_Osemiring__0(_u6724) | ( _u6725 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6724), c_Groups_Ozero__class_Ozero(_u6724)), _u6725) = c_Groups_Oone__class_Oone(_u6724)) )).
% 19.51/19.70 cnf(fact_power__0__left-2, axiom, ( ~class_Power_Opower(_u6724) | ~class_Rings_Osemiring__0(_u6724) | ( _u6725 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6724), c_Groups_Ozero__class_Ozero(_u6724)), _u6725) = c_Groups_Ozero__class_Ozero(_u6724)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__gt1 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__gt1-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6726) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6726), c_Groups_Oone__class_Oone(_u6726)), _u6727)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6726), c_Groups_Oone__class_Oone(_u6726)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6726), _u6727), hAPP(c_Nat_OSuc, _u6728)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__strict__increasing__iff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__strict__increasing__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6729) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6729), c_Groups_Oone__class_Oone(_u6729)), _u6730)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6729), hAPP(hAPP(c_Power_Opower__class_Opower(_u6729), _u6730), _u6731)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6729), _u6730), _u6732))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6731), _u6732)) )).
% 19.51/19.70 cnf(fact_power__strict__increasing__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u6729) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6729), c_Groups_Oone__class_Oone(_u6729)), _u6730)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6731), _u6732)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6729), hAPP(hAPP(c_Power_Opower__class_Opower(_u6729), _u6730), _u6731)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6729), _u6730), _u6732))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__less__imp__less__exp ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__less__imp__less__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6733) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6733), c_Groups_Oone__class_Oone(_u6733)), _u6734)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6733), hAPP(hAPP(c_Power_Opower__class_Opower(_u6733), _u6734), _u6735)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6733), _u6734), _u6736))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6735), _u6736)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__strict__increasing ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__strict__increasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6737) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6738), _u6739)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6737), c_Groups_Oone__class_Oone(_u6737)), _u6740)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6737), hAPP(hAPP(c_Power_Opower__class_Opower(_u6737), _u6740), _u6738)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6737), _u6740), _u6739))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_zero__le__power__abs ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_zero__le__power__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u6741) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6741), c_Groups_Ozero__class_Ozero(_u6741)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6741), hAPP(c_Groups_Oabs__class_Oabs(_u6741), _u6742)), _u6743))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__increasing ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__increasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6744) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6745), _u6746)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6744), c_Groups_Oone__class_Oone(_u6744)), _u6747)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6744), hAPP(hAPP(c_Power_Opower__class_Opower(_u6744), _u6747), _u6745)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6744), _u6747), _u6746))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__minus ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__minus-1, axiom, ( ~class_Rings_Oring__1(_u6748) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6748), hAPP(c_Groups_Ouminus__class_Ouminus(_u6748), _u6749)), _u6750) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6748), hAPP(hAPP(c_Power_Opower__class_Opower(_u6748), hAPP(c_Groups_Ouminus__class_Ouminus(_u6748), c_Groups_Oone__class_Oone(_u6748))), _u6750)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6748), _u6749), _u6750))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__Suc__less ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__Suc__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6751) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6751), c_Groups_Ozero__class_Ozero(_u6751)), _u6752)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6751), _u6752), c_Groups_Oone__class_Oone(_u6751))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6751), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6751), _u6752), hAPP(hAPP(c_Power_Opower__class_Opower(_u6751), _u6752), _u6753))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6751), _u6752), _u6753))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__eq__imp__eq__base ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__eq__imp__eq__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6754) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6754), _u6755), _u6756) != hAPP(hAPP(c_Power_Opower__class_Opower(_u6754), _u6757), _u6756)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6754), c_Groups_Ozero__class_Ozero(_u6754)), _u6755)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6754), c_Groups_Ozero__class_Ozero(_u6754)), _u6757)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6756)) | ( _u6755 = _u6757) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__Suc__less__one ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__Suc__less__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6758) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6758), c_Groups_Ozero__class_Ozero(_u6758)), _u6759)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6758), _u6759), c_Groups_Oone__class_Oone(_u6758))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6758), hAPP(hAPP(c_Power_Opower__class_Opower(_u6758), _u6759), hAPP(c_Nat_OSuc, _u6760))), c_Groups_Oone__class_Oone(_u6758))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__strict__decreasing ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__strict__decreasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6761) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6762), _u6763)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6761), c_Groups_Ozero__class_Ozero(_u6761)), _u6764)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6761), _u6764), c_Groups_Oone__class_Oone(_u6761))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6761), hAPP(hAPP(c_Power_Opower__class_Opower(_u6761), _u6764), _u6763)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6761), _u6764), _u6762))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__decreasing ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__decreasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6765) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6766), _u6767)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6765), c_Groups_Ozero__class_Ozero(_u6765)), _u6768)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6765), _u6768), c_Groups_Oone__class_Oone(_u6765))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6765), hAPP(hAPP(c_Power_Opower__class_Opower(_u6765), _u6768), _u6767)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6765), _u6768), _u6766))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__increasing__iff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__increasing__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u6769) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6769), c_Groups_Oone__class_Oone(_u6769)), _u6770)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6769), hAPP(hAPP(c_Power_Opower__class_Opower(_u6769), _u6770), _u6771)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6769), _u6770), _u6772))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6771), _u6772)) )).
% 19.51/19.70 cnf(fact_power__increasing__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u6769) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6769), c_Groups_Oone__class_Oone(_u6769)), _u6770)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6771), _u6772)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6769), hAPP(hAPP(c_Power_Opower__class_Opower(_u6769), _u6770), _u6771)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6769), _u6770), _u6772))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__aux__def ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__aux__def-1, axiom, ( ( c_Int_Onat__aux(_u6773, _u6774) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u6773)), _u6774)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_transfer__morphism__nat__int ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_transfer__morphism__nat__int-1, axiom, ( c_Nat__Transfer_Otransfer__morphism(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_card__Pow ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_card__Pow-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6775), _u6776)) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u6775, tc_HOL_Obool)), hAPP(c_Set_OPow(_u6775), _u6776)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_Finite__Set_Ocard(_u6775), _u6776))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__power__power ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__power__power-1, axiom, ( ~class_Power_Opower(_u6777) | ( c_Power_Opower__class_Opower(_u6777) = c_Power_Opower_Opower(_u6777, c_Groups_Oone__class_Oone(_u6777), c_Groups_Otimes__class_Otimes(_u6777))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__m1__odd ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__m1__odd-1, axiom, ( ~class_Int_Onumber__ring(_u6778) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6778), hAPP(c_Int_Onumber__class_Onumber__of(_u6778), c_Int_OMin)), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6779))) = hAPP(c_Int_Onumber__class_Onumber__of(_u6778), c_Int_OMin)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_PowI ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_PowI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6780, tc_HOL_Obool)), _u6781), _u6782)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u6780, tc_HOL_Obool)), _u6781), hAPP(c_Set_OPow(_u6780), _u6782))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_rel__simps_I24_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_rel__simps_I24_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_rel__simps_I7_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_rel__simps_I7_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_rel__simps_I37_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_rel__simps_I37_J-1, axiom, ( ( c_Int_OPls != c_Int_OMin) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_rel__simps_I40_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_rel__simps_I40_J-1, axiom, ( ( c_Int_OMin != c_Int_OPls) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_rel__simps_I47_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_rel__simps_I47_J-1, axiom, ( ( c_Int_OBit1(_u6784) != c_Int_OMin) | ( _u6784 = c_Int_OMin) )).
% 19.51/19.70 cnf(fact_rel__simps_I47_J-2, axiom, ( ( _u6785 != c_Int_OMin) | ( c_Int_OBit1(_u6785) = c_Int_OMin) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_rel__simps_I43_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_rel__simps_I43_J-1, axiom, ( ( c_Int_OMin != c_Int_OBit1(_u6787)) | ( c_Int_OMin = _u6787) )).
% 19.51/19.70 cnf(fact_rel__simps_I43_J-2, axiom, ( ( c_Int_OMin != _u6788) | ( c_Int_OMin = c_Int_OBit1(_u6788)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Bit1__Min ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Bit1__Min-1, axiom, ( ( c_Int_OBit1(c_Int_OMin) = c_Int_OMin) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_rel__simps_I42_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_rel__simps_I42_J-1, axiom, ( ( c_Int_OMin != c_Int_OBit0(_u6789)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_rel__simps_I45_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_rel__simps_I45_J-1, axiom, ( ( c_Int_OBit0(_u6790) != c_Int_OMin) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Pow__top ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Pow__top-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u6791, tc_HOL_Obool)), _u6792), hAPP(c_Set_OPow(_u6791), _u6792))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Union__Pow__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Union__Pow__eq-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u6793, tc_HOL_Obool), hAPP(c_Set_OPow(_u6793), _u6794)) = _u6794) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Pow__not__empty ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Pow__not__empty-1, axiom, ( ( hAPP(c_Set_OPow(_u6795), _u6796) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u6795, tc_HOL_Obool), tc_HOL_Obool))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_bin__less__0__simps_I2_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_bin__less__0__simps_I2_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_rel__simps_I20_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_rel__simps_I20_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_rel__simps_I23_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_rel__simps_I23_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_rel__simps_I30_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_rel__simps_I30_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u6798)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6798), c_Int_OMin)) )).
% 19.51/19.70 cnf(fact_rel__simps_I30_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6799), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u6799)), c_Int_OMin)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_rel__simps_I26_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_rel__simps_I26_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u6801))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u6801)) )).
% 19.51/19.70 cnf(fact_rel__simps_I26_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u6802)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u6802))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_rel__simps_I6_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_rel__simps_I6_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_rel__simps_I3_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_rel__simps_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_rel__simps_I9_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_rel__simps_I9_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u6804))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u6804)) )).
% 19.51/19.70 cnf(fact_rel__simps_I9_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u6805)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u6805))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_rel__simps_I13_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_rel__simps_I13_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u6807)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6807), c_Int_OMin)) )).
% 19.51/19.70 cnf(fact_rel__simps_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6808), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u6808)), c_Int_OMin)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_rel__simps_I28_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_rel__simps_I28_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u6810)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6810), c_Int_OMin)) )).
% 19.51/19.70 cnf(fact_rel__simps_I28_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6811), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u6811)), c_Int_OMin)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_rel__simps_I8_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_rel__simps_I8_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u6813))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u6813)) )).
% 19.51/19.70 cnf(fact_rel__simps_I8_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u6814)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u6814))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_eq__number__of__Pls__Min ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_eq__number__of__Pls__Min-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Int_OMin__def ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Int_OMin__def-1, axiom, ( ( c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mult__Min ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mult__Min-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OMin), _u6815) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6815)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_neg__number__of__Min ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_neg__number__of__Min-1, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_pred__Pls ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_pred__Pls-1, axiom, ( ( c_Int_Opred(c_Int_OPls) = c_Int_OMin) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_add__Min__right ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_add__Min__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6816), c_Int_OMin) = c_Int_Opred(_u6816)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_add__Min ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_add__Min-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OMin), _u6817) = c_Int_Opred(_u6817)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_pred__Min ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_pred__Min-1, axiom, ( ( c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nonzero__number__of__Min ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nonzero__number__of__Min-1, axiom, ( ~class_Int_Onumber__ring(_u6818) | ~c_Int_Oiszero(_u6818, hAPP(c_Int_Onumber__class_Onumber__of(_u6818), c_Int_OMin)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_succ__Min ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_succ__Min-1, axiom, ( ( c_Int_Osucc(c_Int_OMin) = c_Int_OPls) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_diff__bin__simps_I2_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_diff__bin__simps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6819), c_Int_OMin) = c_Int_Osucc(_u6819)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Pow__bottom ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Pow__bottom-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u6820, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u6820, tc_HOL_Obool))), hAPP(c_Set_OPow(_u6820), _u6821))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Pow__iff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Pow__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u6825, tc_HOL_Obool)), _u6827), hAPP(c_Set_OPow(_u6825), _u6829))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6825, tc_HOL_Obool)), _u6827), _u6829)) )).
% 19.51/19.70 cnf(fact_Pow__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6826, tc_HOL_Obool)), _u6828), _u6830)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u6826, tc_HOL_Obool)), _u6828), hAPP(c_Set_OPow(_u6826), _u6830))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_PowD ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_PowD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u6831, tc_HOL_Obool)), _u6832), hAPP(c_Set_OPow(_u6831), _u6833))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6831, tc_HOL_Obool)), _u6832), _u6833)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Pow__mono ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Pow__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6834, tc_HOL_Obool)), _u6835), _u6836)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u6834, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u6834), _u6835)), hAPP(c_Set_OPow(_u6834), _u6836))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_finite__Pow__iff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_finite__Pow__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u6839, tc_HOL_Obool)), hAPP(c_Set_OPow(_u6839), _u6841))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6839), _u6841)) )).
% 19.51/19.70 cnf(fact_finite__Pow__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6840), _u6842)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u6840, tc_HOL_Obool)), hAPP(c_Set_OPow(_u6840), _u6842))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mult__minus1__right ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mult__minus1__right-1, axiom, ( ~class_Int_Onumber__ring(_u6843) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6843), _u6844), hAPP(c_Int_Onumber__class_Onumber__of(_u6843), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6843), _u6844)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mult__minus1 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mult__minus1-1, axiom, ( ~class_Int_Onumber__ring(_u6845) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6845), hAPP(c_Int_Onumber__class_Onumber__of(_u6845), c_Int_OMin)), _u6846) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6845), _u6846)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_subset__Pow__Union ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_subset__Pow__Union-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u6847, tc_HOL_Obool), tc_HOL_Obool)), _u6848), hAPP(c_Set_OPow(_u6847), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u6847, tc_HOL_Obool), _u6848)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_arith__simps_I31_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_arith__simps_I31_J-1, axiom, ( ~class_Int_Onumber__ring(_u6849) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6849), c_Groups_Oone__class_Oone(_u6849)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6849), c_Int_OMin)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_number__of__Min ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_number__of__Min-1, axiom, ( ~class_Int_Onumber__ring(_u6850) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u6850), c_Int_OMin) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6850), c_Groups_Oone__class_Oone(_u6850))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_abs__minus__one ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_abs__minus__one-1, axiom, ( ~class_Int_Onumber__ring(_u6851) | ~class_Rings_Olinordered__idom(_u6851) | ( hAPP(c_Groups_Oabs__class_Oabs(_u6851), hAPP(c_Int_Onumber__class_Onumber__of(_u6851), c_Int_OMin)) = c_Groups_Oone__class_Oone(_u6851)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_divide__minus1 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_divide__minus1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u6852) | ~class_Int_Onumber__ring(_u6852) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6852), _u6853), hAPP(c_Int_Onumber__class_Onumber__of(_u6852), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6852), _u6853)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_rel__simps_I11_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_rel__simps_I11_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u6855)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6855), c_Int_OMin)) )).
% 19.51/19.70 cnf(fact_rel__simps_I11_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6856), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u6856)), c_Int_OMin)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_rel__simps_I25_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_rel__simps_I25_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u6858))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u6858)) )).
% 19.51/19.70 cnf(fact_rel__simps_I25_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u6859)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u6859))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_zmod__minus1__right ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_zmod__minus1__right-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6860, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_diff__bin__simps_I4_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_diff__bin__simps_I4_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u6861)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u6861))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_minus__Min ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_minus__Min-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OMin) = c_Int_OBit1(c_Int_OPls)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_pos__zmult__eq__1__iff__lemma ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_pos__zmult__eq__1__iff__lemma-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6862), _u6863) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6862 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6862 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_zmult__eq__1__iff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_zmult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6866), _u6868) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6866 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6866 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 19.51/19.70 cnf(fact_zmult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6866), _u6868) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6866 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6868 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 19.51/19.70 cnf(fact_zmult__eq__1__iff-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6866), _u6868) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6868 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6866 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 19.51/19.70 cnf(fact_zmult__eq__1__iff-4, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6866), _u6868) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6868 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6868 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 19.51/19.70 cnf(fact_zmult__eq__1__iff-5, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6867), _u6869) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6867 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6869 != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 19.51/19.70 cnf(fact_zmult__eq__1__iff-6, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6867), _u6869) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6867 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) | ( _u6869 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_diff__bin__simps_I5_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_diff__bin__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u6870)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u6870))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_diff__bin__simps_I6_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_diff__bin__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u6871)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u6871))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power_Opower_Opower__0 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power_Opower_Opower__0-1, axiom, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u6872, _u6873, _u6874), _u6875), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u6873) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power_Opower_Opower__Suc ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power_Opower_Opower__Suc-1, axiom, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u6876, _u6877, _u6878), _u6879), hAPP(c_Nat_OSuc, _u6880)) = hAPP(hAPP(_u6878, _u6879), hAPP(hAPP(c_Power_Opower_Opower(_u6876, _u6877, _u6878), _u6879), _u6880))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_zdiv__minus1__right ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_zdiv__minus1__right-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6881), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6881)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Pow__Int__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Pow__Int__eq-1, axiom, ( ( hAPP(c_Set_OPow(_u6882), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6882, tc_HOL_Obool)), _u6883), _u6884)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u6882, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u6882), _u6883)), hAPP(c_Set_OPow(_u6882), _u6884))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_minus1__divide ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_minus1__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u6885) | ~class_Int_Onumber__ring(_u6885) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6885), hAPP(c_Int_Onumber__class_Onumber__of(_u6885), c_Int_OMin)), _u6886) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6885), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6885), c_Groups_Oone__class_Oone(_u6885)), _u6886))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_abs__power__minus__one ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_abs__power__minus__one-1, axiom, ( ~class_Int_Onumber__ring(_u6887) | ~class_Rings_Olinordered__idom(_u6887) | ( hAPP(c_Groups_Oabs__class_Oabs(_u6887), hAPP(hAPP(c_Power_Opower__class_Opower(_u6887), hAPP(c_Int_Onumber__class_Onumber__of(_u6887), c_Int_OMin)), _u6888)) = c_Groups_Oone__class_Oone(_u6887)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_div__eq__minus1 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_div__eq__minus1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6889)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), _u6889) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Pow__empty ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Pow__empty-1, axiom, ( ( hAPP(c_Set_OPow(_u6890), c_Orderings_Obot__class_Obot(tc_fun(_u6890, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u6890, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u6890, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u6890, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Un__Pow__subset ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Un__Pow__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u6891, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u6891, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u6891), _u6892)), hAPP(c_Set_OPow(_u6891), _u6893))), hAPP(c_Set_OPow(_u6891), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6891, tc_HOL_Obool)), _u6892), _u6893)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_div__pos__neg__trivial ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_div__pos__neg__trivial-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6894)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6894), _u6895)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6894), _u6895) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_zmod__minus1 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_zmod__minus1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6896)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u6896) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6896), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__m1__even ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__m1__even-1, axiom, ( ~class_Int_Onumber__ring(_u6897) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6897), hAPP(c_Int_Onumber__class_Onumber__of(_u6897), c_Int_OMin)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6898)) = c_Groups_Oone__class_Oone(_u6897)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_code__numeral_Osize_I1_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_code__numeral_Osize_I1_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_of__int__of__nat ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_of__int__of__nat-1, axiom, ( ~class_Rings_Oring__1(_u6899) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6900), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u6899), _u6900) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6899), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6899), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6900))))) )).
% 19.51/19.70 cnf(fact_of__int__of__nat-2, axiom, ( ~class_Rings_Oring__1(_u6899) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6900), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u6899), _u6900) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6899), hAPP(c_Int_Onat, _u6900))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Nitpick_Oint__lcm__def ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Nitpick_Oint__lcm__def-1, axiom, ( ( c_Nitpick_Oint__lcm(_u6901, _u6902) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Nitpick_Onat__lcm(hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6901)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6902))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_negD ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_negD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6904), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6904 = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem135(_u6904))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_code__numeral_Osize_I3_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_code__numeral_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_of__int__eq__iff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_of__int__eq__iff-1, axiom, ( ~class_Int_Oring__char__0(_u6905) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u6905), _u6906) != hAPP(c_Int_Oring__1__class_Oof__int(_u6905), _u6907)) | ( _u6906 = _u6907) )).
% 19.51/19.70 cnf(fact_of__int__eq__iff-2, axiom, ( ~class_Int_Oring__char__0(_u6905) | ( _u6906 != _u6907) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u6905), _u6906) = hAPP(c_Int_Oring__1__class_Oof__int(_u6905), _u6907)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_number__of__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u6908) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u6908), _u6909) = hAPP(c_Int_Oring__1__class_Oof__int(_u6908), _u6909)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_int__number__of__def ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_int__number__of__def-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6910) = hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), _u6910)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_of__int__int__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_of__int__int__eq-1, axiom, ( ( hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6911)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6911)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_of__int__eq__0__iff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_of__int__eq__0__iff-1, axiom, ( ~class_Int_Oring__char__0(_u6912) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u6912), _u6913) != c_Groups_Ozero__class_Ozero(_u6912)) | ( _u6913 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.51/19.70 cnf(fact_of__int__eq__0__iff-2, axiom, ( ~class_Int_Oring__char__0(_u6912) | ( _u6913 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u6912), _u6913) = c_Groups_Ozero__class_Ozero(_u6912)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_of__int__0__eq__iff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_of__int__0__eq__iff-1, axiom, ( ~class_Int_Oring__char__0(_u6914) | ( c_Groups_Ozero__class_Ozero(_u6914) != hAPP(c_Int_Oring__1__class_Oof__int(_u6914), _u6915)) | ( _u6915 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.51/19.70 cnf(fact_of__int__0__eq__iff-2, axiom, ( ~class_Int_Oring__char__0(_u6914) | ( _u6915 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Ozero__class_Ozero(_u6914) = hAPP(c_Int_Oring__1__class_Oof__int(_u6914), _u6915)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_of__int__0 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_of__int__0-1, axiom, ( ~class_Rings_Oring__1(_u6916) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u6916), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(_u6916)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_of__int__le__iff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_of__int__le__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u6917) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6917), hAPP(c_Int_Oring__1__class_Oof__int(_u6917), _u6918)), hAPP(c_Int_Oring__1__class_Oof__int(_u6917), _u6919))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6918), _u6919)) )).
% 19.51/19.70 cnf(fact_of__int__le__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u6917) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6918), _u6919)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6917), hAPP(c_Int_Oring__1__class_Oof__int(_u6917), _u6918)), hAPP(c_Int_Oring__1__class_Oof__int(_u6917), _u6919))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_of__int__less__iff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_of__int__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u6920) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6920), hAPP(c_Int_Oring__1__class_Oof__int(_u6920), _u6921)), hAPP(c_Int_Oring__1__class_Oof__int(_u6920), _u6922))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6921), _u6922)) )).
% 19.51/19.70 cnf(fact_of__int__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u6920) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6921), _u6922)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6920), hAPP(c_Int_Oring__1__class_Oof__int(_u6920), _u6921)), hAPP(c_Int_Oring__1__class_Oof__int(_u6920), _u6922))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_of__int__add ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_of__int__add-1, axiom, ( ~class_Rings_Oring__1(_u6923) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u6923), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6924), _u6925)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6923), hAPP(c_Int_Oring__1__class_Oof__int(_u6923), _u6924)), hAPP(c_Int_Oring__1__class_Oof__int(_u6923), _u6925))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_of__int__number__of__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_of__int__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u6926) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u6926), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6927)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6926), _u6927)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_of__int__mult ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_of__int__mult-1, axiom, ( ~class_Rings_Oring__1(_u6928) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u6928), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6929), _u6930)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6928), hAPP(c_Int_Oring__1__class_Oof__int(_u6928), _u6929)), hAPP(c_Int_Oring__1__class_Oof__int(_u6928), _u6930))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_of__int__1 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_of__int__1-1, axiom, ( ~class_Rings_Oring__1(_u6931) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u6931), c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(_u6931)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_of__int__diff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_of__int__diff-1, axiom, ( ~class_Rings_Oring__1(_u6932) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u6932), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6933), _u6934)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6932), hAPP(c_Int_Oring__1__class_Oof__int(_u6932), _u6933)), hAPP(c_Int_Oring__1__class_Oof__int(_u6932), _u6934))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_of__int__of__nat__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_of__int__of__nat__eq-1, axiom, ( ~class_Rings_Oring__1(_u6935) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u6935), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6936)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6935), _u6936)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_of__int__minus ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_of__int__minus-1, axiom, ( ~class_Rings_Oring__1(_u6937) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u6937), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6938)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6937), hAPP(c_Int_Oring__1__class_Oof__int(_u6937), _u6938))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Ints__of__int ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Ints__of__int-1, axiom, ( ~class_Rings_Oring__1(_u6939) | hBOOL(hAPP(hAPP(c_member(_u6939), hAPP(c_Int_Oring__1__class_Oof__int(_u6939), _u6940)), c_Int_Oring__1__class_OInts(_u6939))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_of__int__power ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_of__int__power-1, axiom, ( ~class_Rings_Oring__1(_u6941) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u6941), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6942), _u6943)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6941), hAPP(c_Int_Oring__1__class_Oof__int(_u6941), _u6942)), _u6943)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_of__int__m1 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_of__int__m1-1, axiom, ( ~class_Int_Onumber__ring(_u6944) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u6944), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6944), c_Int_OMin)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_of__int__0__le__iff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_of__int__0__le__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u6945) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6945), c_Groups_Ozero__class_Ozero(_u6945)), hAPP(c_Int_Oring__1__class_Oof__int(_u6945), _u6946))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6946)) )).
% 19.51/19.70 cnf(fact_of__int__0__le__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u6945) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6946)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6945), c_Groups_Ozero__class_Ozero(_u6945)), hAPP(c_Int_Oring__1__class_Oof__int(_u6945), _u6946))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_of__int__le__0__iff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_of__int__le__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u6947) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6947), hAPP(c_Int_Oring__1__class_Oof__int(_u6947), _u6948)), c_Groups_Ozero__class_Ozero(_u6947))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6948), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.70 cnf(fact_of__int__le__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u6947) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6948), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6947), hAPP(c_Int_Oring__1__class_Oof__int(_u6947), _u6948)), c_Groups_Ozero__class_Ozero(_u6947))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_of__int__less__0__iff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_of__int__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u6949) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6949), hAPP(c_Int_Oring__1__class_Oof__int(_u6949), _u6950)), c_Groups_Ozero__class_Ozero(_u6949))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6950), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.70 cnf(fact_of__int__less__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u6949) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6950), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6949), hAPP(c_Int_Oring__1__class_Oof__int(_u6949), _u6950)), c_Groups_Ozero__class_Ozero(_u6949))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_of__int__0__less__iff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_of__int__0__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u6951) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6951), c_Groups_Ozero__class_Ozero(_u6951)), hAPP(c_Int_Oring__1__class_Oof__int(_u6951), _u6952))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6952)) )).
% 19.51/19.70 cnf(fact_of__int__0__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u6951) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6952)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6951), c_Groups_Ozero__class_Ozero(_u6951)), hAPP(c_Int_Oring__1__class_Oof__int(_u6951), _u6952))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_of__nat__nat ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_of__nat__nat-1, axiom, ( ~class_Rings_Oring__1(_u6953) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6954)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6953), hAPP(c_Int_Onat, _u6954)) = hAPP(c_Int_Oring__1__class_Oof__int(_u6953), _u6954)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Nitpick_Onat__lcm__def ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Nitpick_Onat__lcm__def-1, axiom, ( ( c_Nitpick_Onat__lcm(_u6955, _u6956) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6955), _u6956)), c_Nitpick_Onat__gcd(_u6955, _u6956))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_code__numeral_Osize_I4_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_code__numeral_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), c_Code__Numeral_OSuc__code__numeral(_u6957)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), _u6957)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_code__numeral_Osize_I2_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_code__numeral_Osize_I2_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Code__Numeral_OSuc__code__numeral(_u6958)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(_u6958)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_sgn__neg ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_sgn__neg-1, axiom, ( ~class_Rings_Olinordered__idom(_u6959) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6959), _u6960), c_Groups_Ozero__class_Ozero(_u6959))) | ( c_Groups_Osgn__class_Osgn(_u6959, _u6960) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6959), c_Groups_Oone__class_Oone(_u6959))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_sgn__1__neg ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_sgn__1__neg-1, axiom, ( ~class_Rings_Olinordered__idom(_u6961) | ( c_Groups_Osgn__class_Osgn(_u6961, _u6962) != hAPP(c_Groups_Ouminus__class_Ouminus(_u6961), c_Groups_Oone__class_Oone(_u6961))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6961), _u6962), c_Groups_Ozero__class_Ozero(_u6961))) )).
% 19.51/19.70 cnf(fact_sgn__1__neg-2, axiom, ( ~class_Rings_Olinordered__idom(_u6961) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6961), _u6962), c_Groups_Ozero__class_Ozero(_u6961))) | ( c_Groups_Osgn__class_Osgn(_u6961, _u6962) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6961), c_Groups_Oone__class_Oone(_u6961))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_sgn__sgn ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_sgn__sgn-1, axiom, ( ~class_Rings_Olinordered__idom(_u6963) | ( c_Groups_Osgn__class_Osgn(_u6963, c_Groups_Osgn__class_Osgn(_u6963, _u6964)) = c_Groups_Osgn__class_Osgn(_u6963, _u6964)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_code__numeral_Oinject ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_code__numeral_Oinject-1, axiom, ( ( c_Code__Numeral_OSuc__code__numeral(_u6967) != c_Code__Numeral_OSuc__code__numeral(_u6969)) | ( _u6967 = _u6969) )).
% 19.51/19.70 cnf(fact_code__numeral_Oinject-2, axiom, ( ( _u6968 != _u6970) | ( c_Code__Numeral_OSuc__code__numeral(_u6968) = c_Code__Numeral_OSuc__code__numeral(_u6970)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_sgn__0__0 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_sgn__0__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u6971) | ( c_Groups_Osgn__class_Osgn(_u6971, _u6972) != c_Groups_Ozero__class_Ozero(_u6971)) | ( _u6972 = c_Groups_Ozero__class_Ozero(_u6971)) )).
% 19.51/19.70 cnf(fact_sgn__0__0-2, axiom, ( ~class_Rings_Olinordered__idom(_u6971) | ( _u6972 != c_Groups_Ozero__class_Ozero(_u6971)) | ( c_Groups_Osgn__class_Osgn(_u6971, _u6972) = c_Groups_Ozero__class_Ozero(_u6971)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_sgn0 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_sgn0-1, axiom, ( ~class_Groups_Osgn__if(_u6973) | ( c_Groups_Osgn__class_Osgn(_u6973, c_Groups_Ozero__class_Ozero(_u6973)) = c_Groups_Ozero__class_Ozero(_u6973)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_sgn__times ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_sgn__times-1, axiom, ( ~class_Rings_Olinordered__idom(_u6974) | ( c_Groups_Osgn__class_Osgn(_u6974, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6974), _u6975), _u6976)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6974), c_Groups_Osgn__class_Osgn(_u6974, _u6975)), c_Groups_Osgn__class_Osgn(_u6974, _u6976))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_code__numeral_Osimps_I3_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_code__numeral_Osimps_I3_J-1, axiom, ( ( c_Code__Numeral_OSuc__code__numeral(_u6977) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_code__numeral_Osimps_I2_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_code__numeral_Osimps_I2_J-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(_u6978)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_sgn__less ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_sgn__less-1, axiom, ( ~class_Rings_Olinordered__idom(_u6979) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6979), c_Groups_Osgn__class_Osgn(_u6979, _u6980)), c_Groups_Ozero__class_Ozero(_u6979))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6979), _u6980), c_Groups_Ozero__class_Ozero(_u6979))) )).
% 19.51/19.70 cnf(fact_sgn__less-2, axiom, ( ~class_Rings_Olinordered__idom(_u6979) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6979), _u6980), c_Groups_Ozero__class_Ozero(_u6979))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6979), c_Groups_Osgn__class_Osgn(_u6979, _u6980)), c_Groups_Ozero__class_Ozero(_u6979))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_sgn__greater ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_sgn__greater-1, axiom, ( ~class_Rings_Olinordered__idom(_u6981) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6981), c_Groups_Ozero__class_Ozero(_u6981)), c_Groups_Osgn__class_Osgn(_u6981, _u6982))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6981), c_Groups_Ozero__class_Ozero(_u6981)), _u6982)) )).
% 19.51/19.70 cnf(fact_sgn__greater-2, axiom, ( ~class_Rings_Olinordered__idom(_u6981) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6981), c_Groups_Ozero__class_Ozero(_u6981)), _u6982)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6981), c_Groups_Ozero__class_Ozero(_u6981)), c_Groups_Osgn__class_Osgn(_u6981, _u6982))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_abs__sgn ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_abs__sgn-1, axiom, ( ~class_Rings_Olinordered__idom(_u6983) | ( hAPP(c_Groups_Oabs__class_Oabs(_u6983), _u6984) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6983), _u6984), c_Groups_Osgn__class_Osgn(_u6983, _u6984))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mult__sgn__abs ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mult__sgn__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u6985) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6985), c_Groups_Osgn__class_Osgn(_u6985, _u6986)), hAPP(c_Groups_Oabs__class_Oabs(_u6985), _u6986)) = _u6986) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Suc__code__numeral__minus__one ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Suc__code__numeral__minus__one-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), c_Code__Numeral_OSuc__code__numeral(_u6987)), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = _u6987) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_sgn__1__pos ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_sgn__1__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u6988) | ( c_Groups_Osgn__class_Osgn(_u6988, _u6989) != c_Groups_Oone__class_Oone(_u6988)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6988), c_Groups_Ozero__class_Ozero(_u6988)), _u6989)) )).
% 19.51/19.70 cnf(fact_sgn__1__pos-2, axiom, ( ~class_Rings_Olinordered__idom(_u6988) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6988), c_Groups_Ozero__class_Ozero(_u6988)), _u6989)) | ( c_Groups_Osgn__class_Osgn(_u6988, _u6989) = c_Groups_Oone__class_Oone(_u6988)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_sgn__pos ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_sgn__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u6990) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6990), c_Groups_Ozero__class_Ozero(_u6990)), _u6991)) | ( c_Groups_Osgn__class_Osgn(_u6990, _u6991) = c_Groups_Oone__class_Oone(_u6990)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__gcd_Osimps ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__gcd_Osimps-1, axiom, ( ( _u6994 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u6996, _u6994) = _u6996) )).
% 19.51/19.70 cnf(fact_nat__gcd_Osimps-2, axiom, ( ( _u6995 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u6997, _u6995) = c_Nitpick_Onat__gcd(_u6995, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6997, _u6995))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_zsgn__def ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_zsgn__def-1, axiom, ( ( _u6999 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u6999) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.51/19.70 cnf(fact_zsgn__def-2, axiom, ( ( _u7000 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7000)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u7000) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 19.51/19.70 cnf(fact_zsgn__def-3, axiom, ( ( _u7000 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7000)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u7000) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_sgn__if ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_sgn__if-1, axiom, ( ~class_Groups_Osgn__if(_u7001) | ( _u7002 != c_Groups_Ozero__class_Ozero(_u7001)) | ( c_Groups_Osgn__class_Osgn(_u7001, _u7002) = c_Groups_Ozero__class_Ozero(_u7001)) )).
% 19.51/19.70 cnf(fact_sgn__if-2, axiom, ( ~class_Groups_Osgn__if(_u7001) | ( _u7002 = c_Groups_Ozero__class_Ozero(_u7001)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7001), c_Groups_Ozero__class_Ozero(_u7001)), _u7002)) | ( c_Groups_Osgn__class_Osgn(_u7001, _u7002) = c_Groups_Oone__class_Oone(_u7001)) )).
% 19.51/19.70 cnf(fact_sgn__if-3, axiom, ( ~class_Groups_Osgn__if(_u7001) | ( _u7002 = c_Groups_Ozero__class_Ozero(_u7001)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7001), c_Groups_Ozero__class_Ozero(_u7001)), _u7002)) | ( c_Groups_Osgn__class_Osgn(_u7001, _u7002) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7001), c_Groups_Oone__class_Oone(_u7001))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Nitpick_Oint__gcd__def ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Nitpick_Oint__gcd__def-1, axiom, ( ( hAPP(hAPP(c_Nitpick_Oint__gcd, _u7003), _u7004) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Nitpick_Onat__gcd(hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7003)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7004))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_code__numeral_Osimps_I5_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_code__numeral_Osimps_I5_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u7005, _u7006, _u7007, c_Code__Numeral_OSuc__code__numeral(_u7008)) = hAPP(_u7007, _u7008)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_compl__unique ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_compl__unique-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u7009) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7009), _u7010), _u7011) != c_Orderings_Obot__class_Obot(_u7009)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7009), _u7010), _u7011) != c_Orderings_Otop__class_Otop(_u7009)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7009), _u7010) = _u7011) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_int__val__lemma ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_int__val__lemma-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem136(_u7016, _u7015, _u7014)), _u7014)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u7015, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7016)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7016), hAPP(_u7015, _u7014))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem137(_u7016, _u7015, _u7014)), _u7014)) )).
% 19.51/19.70 cnf(fact_int__val__lemma-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem136(_u7016, _u7015, _u7014)), _u7014)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u7015, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7016)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7016), hAPP(_u7015, _u7014))) | ( hAPP(_u7015, skolem137(_u7016, _u7015, _u7014)) = _u7016) )).
% 19.51/19.70 cnf(fact_int__val__lemma-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(_u7015, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem136(_u7016, _u7015, _u7014)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u7015, skolem136(_u7016, _u7015, _u7014))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u7015, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7016)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7016), hAPP(_u7015, _u7014))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem137(_u7016, _u7015, _u7014)), _u7014)) )).
% 19.51/19.70 cnf(fact_int__val__lemma-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(_u7015, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem136(_u7016, _u7015, _u7014)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u7015, skolem136(_u7016, _u7015, _u7014))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u7015, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7016)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7016), hAPP(_u7015, _u7014))) | ( hAPP(_u7015, skolem137(_u7016, _u7015, _u7014)) = _u7016) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat0__intermed__int__val ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat0__intermed__int__val-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem138(_u7021, _u7020, _u7019)), _u7019)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u7020, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7021)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7021), hAPP(_u7020, _u7019))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem139(_u7021, _u7020, _u7019)), _u7019)) )).
% 19.51/19.70 cnf(fact_nat0__intermed__int__val-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem138(_u7021, _u7020, _u7019)), _u7019)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u7020, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7021)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7021), hAPP(_u7020, _u7019))) | ( hAPP(_u7020, skolem139(_u7021, _u7020, _u7019)) = _u7021) )).
% 19.51/19.70 cnf(fact_nat0__intermed__int__val-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(_u7020, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem138(_u7021, _u7020, _u7019)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u7020, skolem138(_u7021, _u7020, _u7019))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u7020, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7021)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7021), hAPP(_u7020, _u7019))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem139(_u7021, _u7020, _u7019)), _u7019)) )).
% 19.51/19.70 cnf(fact_nat0__intermed__int__val-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(_u7020, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem138(_u7021, _u7020, _u7019)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u7020, skolem138(_u7021, _u7020, _u7019))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u7020, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7021)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7021), hAPP(_u7020, _u7019))) | ( hAPP(_u7020, skolem139(_u7021, _u7020, _u7019)) = _u7021) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_UNIV__I ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_UNIV__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u7022), _u7023), c_Orderings_Otop__class_Otop(tc_fun(_u7022, tc_HOL_Obool)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Pow__UNIV ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Pow__UNIV-1, axiom, ( ( hAPP(c_Set_OPow(_u7024), c_Orderings_Otop__class_Otop(tc_fun(_u7024, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u7024, tc_HOL_Obool), tc_HOL_Obool))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_finite__fun__UNIVD2 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_finite__fun__UNIVD2-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u7026), c_Orderings_Otop__class_Otop(tc_fun(_u7026, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u7025, _u7026)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u7025, _u7026), tc_HOL_Obool)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_UNIV__not__empty ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_UNIV__not__empty-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u7027, tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(_u7027, tc_HOL_Obool))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_finite__UNIV ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_finite__UNIV-1, axiom, ( ~class_Finite__Set_Ofinite(_u7028) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7028), c_Orderings_Otop__class_Otop(tc_fun(_u7028, tc_HOL_Obool)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Union__UNIV ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Union__UNIV-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u7029, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u7029, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u7029, tc_HOL_Obool))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_top__apply ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_top__apply-1, axiom, ( ~class_Orderings_Otop(_u7030) | ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u7031, _u7030)), _u7032) = c_Orderings_Otop__class_Otop(_u7030)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Sup__UNIV ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Sup__UNIV-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7033) | ( c_Complete__Lattice_OSup__class_OSup(_u7033, c_Orderings_Otop__class_Otop(tc_fun(_u7033, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u7033)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_finite__Prod__UNIV ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_finite__Prod__UNIV-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7034), c_Orderings_Otop__class_Otop(tc_fun(_u7034, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7035), c_Orderings_Otop__class_Otop(tc_fun(_u7035, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u7034, _u7035)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u7034, _u7035), tc_HOL_Obool)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_finite__option__UNIV ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_finite__option__UNIV-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u7037)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u7037), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7037), c_Orderings_Otop__class_Otop(tc_fun(_u7037, tc_HOL_Obool)))) )).
% 19.51/19.70 cnf(fact_finite__option__UNIV-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7038), c_Orderings_Otop__class_Otop(tc_fun(_u7038, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u7038)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u7038), tc_HOL_Obool)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_UNIV__Plus__UNIV ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_UNIV__Plus__UNIV-1, axiom, ( ( c_Sum__Type_OPlus(_u7039, _u7040, c_Orderings_Otop__class_Otop(tc_fun(_u7039, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u7040, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u7039, _u7040), tc_HOL_Obool))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Int__UNIV__left ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Int__UNIV__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7041, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u7041, tc_HOL_Obool))), _u7042) = _u7042) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Int__UNIV__right ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Int__UNIV__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7043, tc_HOL_Obool)), _u7044), c_Orderings_Otop__class_Otop(tc_fun(_u7043, tc_HOL_Obool))) = _u7044) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Un__UNIV__left ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Un__UNIV__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7045, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u7045, tc_HOL_Obool))), _u7046) = c_Orderings_Otop__class_Otop(tc_fun(_u7045, tc_HOL_Obool))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Un__UNIV__right ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Un__UNIV__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7047, tc_HOL_Obool)), _u7048), c_Orderings_Otop__class_Otop(tc_fun(_u7047, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u7047, tc_HOL_Obool))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_subset__UNIV ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_subset__UNIV-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7049, tc_HOL_Obool)), _u7050), c_Orderings_Otop__class_Otop(tc_fun(_u7049, tc_HOL_Obool)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_card__UNIV__unit ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_card__UNIV__unit-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Product__Type_Ounit), c_Orderings_Otop__class_Otop(tc_fun(tc_Product__Type_Ounit, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_finite__Plus__UNIV__iff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_finite__Plus__UNIV__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u7053, _u7055)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u7053, _u7055), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7053), c_Orderings_Otop__class_Otop(tc_fun(_u7053, tc_HOL_Obool)))) )).
% 19.51/19.70 cnf(fact_finite__Plus__UNIV__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u7053, _u7055)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u7053, _u7055), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7055), c_Orderings_Otop__class_Otop(tc_fun(_u7055, tc_HOL_Obool)))) )).
% 19.51/19.70 cnf(fact_finite__Plus__UNIV__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7054), c_Orderings_Otop__class_Otop(tc_fun(_u7054, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7056), c_Orderings_Otop__class_Otop(tc_fun(_u7056, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u7054, _u7056)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u7054, _u7056), tc_HOL_Obool)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_top__greatest ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_top__greatest-1, axiom, ( ~class_Orderings_Otop(_u7057) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7057), _u7058), c_Orderings_Otop__class_Otop(_u7057))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_sup__top__left ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_sup__top__left-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u7059) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7059), c_Orderings_Otop__class_Otop(_u7059)), _u7060) = c_Orderings_Otop__class_Otop(_u7059)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_sup__top__right ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_sup__top__right-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u7061) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7061), _u7062), c_Orderings_Otop__class_Otop(_u7061)) = c_Orderings_Otop__class_Otop(_u7061)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_inf__eq__top__iff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_inf__eq__top__iff-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u7063) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7063), _u7064), _u7065) != c_Orderings_Otop__class_Otop(_u7063)) | ( _u7064 = c_Orderings_Otop__class_Otop(_u7063)) )).
% 19.51/19.70 cnf(fact_inf__eq__top__iff-2, axiom, ( ~class_Lattices_Obounded__lattice__top(_u7063) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7063), _u7064), _u7065) != c_Orderings_Otop__class_Otop(_u7063)) | ( _u7065 = c_Orderings_Otop__class_Otop(_u7063)) )).
% 19.51/19.70 cnf(fact_inf__eq__top__iff-3, axiom, ( ~class_Lattices_Obounded__lattice__top(_u7063) | ( _u7064 != c_Orderings_Otop__class_Otop(_u7063)) | ( _u7065 != c_Orderings_Otop__class_Otop(_u7063)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7063), _u7064), _u7065) = c_Orderings_Otop__class_Otop(_u7063)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_inf__top__right ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_inf__top__right-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u7066) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7066), _u7067), c_Orderings_Otop__class_Otop(_u7066)) = _u7067) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_inf__top__left ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_inf__top__left-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u7068) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7068), c_Orderings_Otop__class_Otop(_u7068)), _u7069) = _u7069) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Diff__UNIV ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Diff__UNIV-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7070, tc_HOL_Obool)), _u7071), c_Orderings_Otop__class_Otop(tc_fun(_u7070, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u7070, tc_HOL_Obool))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_card__eq__UNIV__imp__eq__UNIV ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_card__eq__UNIV__imp__eq__UNIV-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7072), c_Orderings_Otop__class_Otop(tc_fun(_u7072, tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u7072), _u7073) != hAPP(c_Finite__Set_Ocard(_u7072), c_Orderings_Otop__class_Otop(tc_fun(_u7072, tc_HOL_Obool)))) | ( _u7073 = c_Orderings_Otop__class_Otop(tc_fun(_u7072, tc_HOL_Obool))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Compl__UNIV__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Compl__UNIV__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7074, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u7074, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u7074, tc_HOL_Obool))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Compl__empty__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Compl__empty__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7075, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u7075, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u7075, tc_HOL_Obool))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_finite__compl ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_finite__compl-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7076), _u7077)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7076), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7076, tc_HOL_Obool)), _u7077))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7076), c_Orderings_Otop__class_Otop(tc_fun(_u7076, tc_HOL_Obool)))) )).
% 19.51/19.70 cnf(fact_finite__compl-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7076), _u7077)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7076), c_Orderings_Otop__class_Otop(tc_fun(_u7076, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7076), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7076, tc_HOL_Obool)), _u7077))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Compl__partition ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Compl__partition-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7078, tc_HOL_Obool)), _u7079), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7078, tc_HOL_Obool)), _u7079)) = c_Orderings_Otop__class_Otop(tc_fun(_u7078, tc_HOL_Obool))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Compl__partition2 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Compl__partition2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7080, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7080, tc_HOL_Obool)), _u7081)), _u7081) = c_Orderings_Otop__class_Otop(tc_fun(_u7080, tc_HOL_Obool))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Compl__eq__Diff__UNIV ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Compl__eq__Diff__UNIV-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7082, tc_HOL_Obool)), _u7083) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7082, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u7082, tc_HOL_Obool))), _u7083)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_compl__top__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_compl__top__eq-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u7084) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7084), c_Orderings_Otop__class_Otop(_u7084)) = c_Orderings_Obot__class_Obot(_u7084)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_compl__bot__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_compl__bot__eq-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u7085) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7085), c_Orderings_Obot__class_Obot(_u7085)) = c_Orderings_Otop__class_Otop(_u7085)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_compl__sup__top ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_compl__sup__top-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u7086) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7086), hAPP(c_Groups_Ouminus__class_Ouminus(_u7086), _u7087)), _u7087) = c_Orderings_Otop__class_Otop(_u7086)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_sup__compl__top ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_sup__compl__top-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u7088) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7088), _u7089), hAPP(c_Groups_Ouminus__class_Ouminus(_u7088), _u7089)) = c_Orderings_Otop__class_Otop(_u7088)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_finite__UNIV__card__ge__0 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_finite__UNIV__card__ge__0-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7090), c_Orderings_Otop__class_Otop(tc_fun(_u7090, tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u7090), c_Orderings_Otop__class_Otop(tc_fun(_u7090, tc_HOL_Obool))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_card__UNIV__bool ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_card__UNIV__bool-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_HOL_Obool, tc_HOL_Obool))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_code__numeral_Osimps_I4_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_code__numeral_Osimps_I4_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u7091, _u7092, _u7093, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u7092) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_finite__fun__UNIVD1 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_finite__fun__UNIVD1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u7094, _u7095)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u7094, _u7095), tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u7095), c_Orderings_Otop__class_Otop(tc_fun(_u7095, tc_HOL_Obool))) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7094), c_Orderings_Otop__class_Otop(tc_fun(_u7094, tc_HOL_Obool)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Inf__fold__inf ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Inf__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7096) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7096), _u7097)) | ( c_Complete__Lattice_OInf__class_OInf(_u7096, _u7097) = hAPP(hAPP(c_Finite__Set_Ofold(_u7096, _u7096, c_Lattices_Osemilattice__inf__class_Oinf(_u7096)), c_Orderings_Otop__class_Otop(_u7096)), _u7097)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J-1, axiom, ( c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__mod__eq__lemma ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__mod__eq__lemma-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7099, _u7100) != c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7101, _u7100)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7101), _u7099)) | ( _u7099 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7101), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7100), skolem140(_u7101, _u7100, _u7099)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mod__induct__0 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mod__induct__0-1, axiom, ( ~hBOOL(hAPP(_u7104, _u7105)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7105), _u7103)) | hBOOL(hAPP(_u7104, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem141(_u7105, _u7104, _u7103)), _u7103)) )).
% 19.51/19.70 cnf(fact_mod__induct__0-2, axiom, ( ~hBOOL(hAPP(_u7104, _u7105)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7105), _u7103)) | hBOOL(hAPP(_u7104, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u7104, skolem141(_u7105, _u7104, _u7103))) )).
% 19.51/19.70 cnf(fact_mod__induct__0-3, axiom, ( ~hBOOL(hAPP(_u7104, _u7105)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7105), _u7103)) | hBOOL(hAPP(_u7104, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u7104, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, skolem141(_u7105, _u7104, _u7103)), _u7103))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_finite__Inter ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_finite__Inter-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u7107, tc_HOL_Obool)), _u7106), _u7108)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7107), _u7106)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7107), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7107, tc_HOL_Obool), _u7108))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_top1I ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_top1I-1, axiom, ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u7109, tc_HOL_Obool)), _u7110)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_InterE ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_InterE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7111), _u7112), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7111, tc_HOL_Obool), _u7113))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u7111, tc_HOL_Obool)), _u7114), _u7113)) | hBOOL(hAPP(hAPP(c_member(_u7111), _u7112), _u7114)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_InterD ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_InterD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7115), _u7116), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7115, tc_HOL_Obool), _u7117))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u7115, tc_HOL_Obool)), _u7118), _u7117)) | hBOOL(hAPP(hAPP(c_member(_u7115), _u7116), _u7118)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Inter__UNIV ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Inter__UNIV-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7119, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u7119, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u7119, tc_HOL_Obool))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J-1, axiom, ( c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Inter__empty ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Inter__empty-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7120, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u7120, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u7120, tc_HOL_Obool))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7121) | ~c_Nat__Transfer_Ois__nat(_u7122) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7121), _u7122)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J-1, axiom, ( c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7123)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J-1, axiom, ( c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7124) | ~c_Nat__Transfer_Ois__nat(_u7125) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7124), _u7125)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_le__Inf__iff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_le__Inf__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7128) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7128), _u7129), c_Complete__Lattice_OInf__class_OInf(_u7128, _u7130))) | ~hBOOL(hAPP(hAPP(c_member(_u7128), _u7126), _u7130)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7128), _u7129), _u7126)) )).
% 19.51/19.70 cnf(fact_le__Inf__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7128) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7128), _u7129), c_Complete__Lattice_OInf__class_OInf(_u7128, _u7130))) | hBOOL(hAPP(hAPP(c_member(_u7128), skolem142(_u7130, _u7129, _u7128)), _u7130)) )).
% 19.51/19.70 cnf(fact_le__Inf__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7128) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7128), _u7129), c_Complete__Lattice_OInf__class_OInf(_u7128, _u7130))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7128), _u7129), skolem142(_u7130, _u7129, _u7128))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Inf__less__iff ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Inf__less__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7133) | ~class_Orderings_Olinorder(_u7133) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7133), c_Complete__Lattice_OInf__class_OInf(_u7133, _u7134)), _u7135)) | hBOOL(hAPP(hAPP(c_member(_u7133), skolem143(_u7135, _u7134, _u7133)), _u7134)) )).
% 19.51/19.70 cnf(fact_Inf__less__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7133) | ~class_Orderings_Olinorder(_u7133) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7133), c_Complete__Lattice_OInf__class_OInf(_u7133, _u7134)), _u7135)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7133), skolem143(_u7135, _u7134, _u7133)), _u7135)) )).
% 19.51/19.70 cnf(fact_Inf__less__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7133) | ~class_Orderings_Olinorder(_u7133) | ~hBOOL(hAPP(hAPP(c_member(_u7133), _u7132), _u7134)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7133), _u7132), _u7135)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7133), c_Complete__Lattice_OInf__class_OInf(_u7133, _u7134)), _u7135)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Divides_Otransfer__int__nat__function__closures_I2_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Divides_Otransfer__int__nat__function__closures_I2_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7136) | ~c_Nat__Transfer_Ois__nat(_u7137) | c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7136, _u7137)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Divides_Otransfer__int__nat__function__closures_I1_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Divides_Otransfer__int__nat__function__closures_I1_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7138) | ~c_Nat__Transfer_Ois__nat(_u7139) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7138), _u7139)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Inf__UNIV ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Inf__UNIV-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7140) | ( c_Complete__Lattice_OInf__class_OInf(_u7140, c_Orderings_Otop__class_Otop(tc_fun(_u7140, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u7140)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7141) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u7141), _u7142)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7143) | ~c_Nat__Transfer_Ois__nat(_u7144) | c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(_u7143, _u7144)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Inter__lower ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Inter__lower-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u7145, tc_HOL_Obool)), _u7146), _u7147)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7145, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7145, tc_HOL_Obool), _u7147)), _u7146)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Inter__anti__mono ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Inter__anti__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u7148, tc_HOL_Obool), tc_HOL_Obool)), _u7149), _u7150)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7148, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7148, tc_HOL_Obool), _u7150)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7148, tc_HOL_Obool), _u7149))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Inter__insert ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Inter__insert-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7151, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u7151, tc_HOL_Obool)), _u7152), _u7153)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7151, tc_HOL_Obool)), _u7152), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7151, tc_HOL_Obool), _u7153))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_is__nat__def ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_is__nat__def-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u7155) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7155)) )).
% 19.51/19.70 cnf(fact_is__nat__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7156)) | c_Nat__Transfer_Ois__nat(_u7156) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Inf__lower ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Inf__lower-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7157) | ~hBOOL(hAPP(hAPP(c_member(_u7157), _u7158), _u7159)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7157), c_Complete__Lattice_OInf__class_OInf(_u7157, _u7159)), _u7158)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Inter__Un__distrib ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Inter__Un__distrib-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7160, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u7160, tc_HOL_Obool), tc_HOL_Obool)), _u7161), _u7162)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7160, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7160, tc_HOL_Obool), _u7161)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7160, tc_HOL_Obool), _u7162))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Inf__singleton ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Inf__singleton-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7163) | ( c_Complete__Lattice_OInf__class_OInf(_u7163, hAPP(hAPP(c_Set_Oinsert(_u7163), _u7164), c_Orderings_Obot__class_Obot(tc_fun(_u7163, tc_HOL_Obool)))) = _u7164) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Inf__empty ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Inf__empty-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7165) | ( c_Complete__Lattice_OInf__class_OInf(_u7165, c_Orderings_Obot__class_Obot(tc_fun(_u7165, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u7165)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Inf__insert ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Inf__insert-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7166) | ( c_Complete__Lattice_OInf__class_OInf(_u7166, hAPP(hAPP(c_Set_Oinsert(_u7166), _u7167), _u7168)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7166), _u7167), c_Complete__Lattice_OInf__class_OInf(_u7166, _u7168))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Int__eq__Inter ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Int__eq__Inter-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7169, tc_HOL_Obool)), _u7170), _u7171) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7169, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u7169, tc_HOL_Obool)), _u7170), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u7169, tc_HOL_Obool)), _u7171), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u7169, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J-1, axiom, ( c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Inter__Un__subset ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Inter__Un__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7172, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7172, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7172, tc_HOL_Obool), _u7173)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7172, tc_HOL_Obool), _u7174))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7172, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u7172, tc_HOL_Obool), tc_HOL_Obool)), _u7173), _u7174)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Inf__binary ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Inf__binary-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7175) | ( c_Complete__Lattice_OInf__class_OInf(_u7175, hAPP(hAPP(c_Set_Oinsert(_u7175), _u7176), hAPP(hAPP(c_Set_Oinsert(_u7175), _u7177), c_Orderings_Obot__class_Obot(tc_fun(_u7175, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7175), _u7176), _u7177)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_inf__Inf__fold__inf ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_inf__Inf__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7178) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7178), _u7179)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7178), _u7180), c_Complete__Lattice_OInf__class_OInf(_u7178, _u7179)) = hAPP(hAPP(c_Finite__Set_Ofold(_u7178, _u7178, c_Lattices_Osemilattice__inf__class_Oinf(_u7178)), _u7180), _u7179)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Inf__fin__Inf ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Inf__fin__Inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7181) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7181), _u7182)) | ( _u7182 = c_Orderings_Obot__class_Obot(tc_fun(_u7181, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u7181, _u7182) = c_Complete__Lattice_OInf__class_OInf(_u7181, _u7182)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_iso__tuple__UNIV__I ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_iso__tuple__UNIV__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u7183), _u7184), c_Orderings_Otop__class_Otop(tc_fun(_u7183, tc_HOL_Obool)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__intermed__int__val ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__intermed__int__val-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7187), skolem144(_u7190, _u7189, _u7188, _u7187))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7187), _u7188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u7189, _u7187)), _u7190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7190), hAPP(_u7189, _u7188))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7187), skolem145(_u7190, _u7189, _u7188, _u7187))) )).
% 19.51/19.70 cnf(fact_nat__intermed__int__val-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7187), skolem144(_u7190, _u7189, _u7188, _u7187))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7187), _u7188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u7189, _u7187)), _u7190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7190), hAPP(_u7189, _u7188))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem145(_u7190, _u7189, _u7188, _u7187)), _u7188)) )).
% 19.51/19.70 cnf(fact_nat__intermed__int__val-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7187), skolem144(_u7190, _u7189, _u7188, _u7187))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7187), _u7188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u7189, _u7187)), _u7190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7190), hAPP(_u7189, _u7188))) | ( hAPP(_u7189, skolem145(_u7190, _u7189, _u7188, _u7187)) = _u7190) )).
% 19.51/19.70 cnf(fact_nat__intermed__int__val-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem144(_u7190, _u7189, _u7188, _u7187)), _u7188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7187), _u7188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u7189, _u7187)), _u7190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7190), hAPP(_u7189, _u7188))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7187), skolem145(_u7190, _u7189, _u7188, _u7187))) )).
% 19.51/19.70 cnf(fact_nat__intermed__int__val-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem144(_u7190, _u7189, _u7188, _u7187)), _u7188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7187), _u7188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u7189, _u7187)), _u7190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7190), hAPP(_u7189, _u7188))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem145(_u7190, _u7189, _u7188, _u7187)), _u7188)) )).
% 19.51/19.70 cnf(fact_nat__intermed__int__val-6, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem144(_u7190, _u7189, _u7188, _u7187)), _u7188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7187), _u7188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u7189, _u7187)), _u7190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7190), hAPP(_u7189, _u7188))) | ( hAPP(_u7189, skolem145(_u7190, _u7189, _u7188, _u7187)) = _u7190) )).
% 19.51/19.70 cnf(fact_nat__intermed__int__val-7, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(_u7189, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem144(_u7190, _u7189, _u7188, _u7187)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u7189, skolem144(_u7190, _u7189, _u7188, _u7187))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7187), _u7188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u7189, _u7187)), _u7190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7190), hAPP(_u7189, _u7188))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7187), skolem145(_u7190, _u7189, _u7188, _u7187))) )).
% 19.51/19.70 cnf(fact_nat__intermed__int__val-8, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(_u7189, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem144(_u7190, _u7189, _u7188, _u7187)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u7189, skolem144(_u7190, _u7189, _u7188, _u7187))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7187), _u7188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u7189, _u7187)), _u7190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7190), hAPP(_u7189, _u7188))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem145(_u7190, _u7189, _u7188, _u7187)), _u7188)) )).
% 19.51/19.70 cnf(fact_nat__intermed__int__val-9, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(_u7189, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem144(_u7190, _u7189, _u7188, _u7187)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u7189, skolem144(_u7190, _u7189, _u7188, _u7187))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7187), _u7188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u7189, _u7187)), _u7190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7190), hAPP(_u7189, _u7188))) | ( hAPP(_u7189, skolem145(_u7190, _u7189, _u7188, _u7187)) = _u7190) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_log_Osimps ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_log_Osimps-1, axiom, ( ( c_Random_Olog(_u7193, _u7195) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u7193), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 19.51/19.70 cnf(fact_log_Osimps-2, axiom, ( ( c_Random_Olog(_u7193, _u7195) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u7195), _u7193)) )).
% 19.51/19.70 cnf(fact_log_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u7194), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u7196), _u7194)) | ( c_Random_Olog(_u7194, _u7196) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), c_Random_Olog(_u7194, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u7196), _u7194)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mod__div__decomp ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mod__div__decomp-1, axiom, ( ~class_Divides_Osemiring__div(_u7197) | ( _u7198 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7197), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7197), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7197), _u7198), _u7199)), _u7199)), c_Divides_Odiv__class_Omod(_u7197, _u7198, _u7199))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_minus__code__numeral__code ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_minus__code__numeral__code-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u7200), _u7201) = hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, _u7200), _u7201)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_subtract__code__numeral__def ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_subtract__code__numeral__def-1, axiom, ( ( c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_minus__shift__def ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_minus__shift__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u7205), _u7207)) | ( c_Random_Ominus__shift(_u7209, _u7205, _u7207) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u7209), _u7205)), _u7207)) )).
% 19.51/19.70 cnf(fact_minus__shift__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u7206), _u7208)) | ( c_Random_Ominus__shift(_u7210, _u7206, _u7208) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u7206), _u7208)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_inc__shift__def ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_inc__shift__def-1, axiom, ( ( _u7213 != _u7215) | ( c_Random_Oinc__shift(_u7213, _u7215) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) )).
% 19.51/19.70 cnf(fact_inc__shift__def-2, axiom, ( ( _u7214 = _u7216) | ( c_Random_Oinc__shift(_u7214, _u7216) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u7216), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Inter__subset ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Inter__subset-1, axiom, ( ( _u7219 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u7218, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7218, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7218, tc_HOL_Obool), _u7219)), _u7220)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u7218, tc_HOL_Obool)), skolem146(_u7220, _u7219, _u7218)), _u7219)) )).
% 19.51/19.70 cnf(fact_Inter__subset-2, axiom, ( ( _u7219 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u7218, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7218, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7218, tc_HOL_Obool), _u7219)), _u7220)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7218, tc_HOL_Obool)), skolem146(_u7220, _u7219, _u7218)), _u7220)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_InterI ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_InterI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u7222), _u7224), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7222, tc_HOL_Obool), _u7223))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u7222, tc_HOL_Obool)), skolem147(_u7224, _u7223, _u7222)), _u7223)) )).
% 19.51/19.70 cnf(fact_InterI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u7222), _u7224), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7222, tc_HOL_Obool), _u7223))) | ~hBOOL(hAPP(hAPP(c_member(_u7222), _u7224), skolem147(_u7224, _u7223, _u7222))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_negDivAlg__eqn__1__number__of ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_negDivAlg__eqn__1__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7225))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7225)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7225)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7225)))) )).
% 19.51/19.70 cnf(fact_negDivAlg__eqn__1__number__of-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7225))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7225)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7225)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7225)), c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7225))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat_Osize_I2_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat_Osize_I2_J-1, axiom, ( ( c_Nat_Onat_Onat__size(hAPP(c_Nat_OSuc, _u7226)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Nat_Onat_Onat__size(_u7226)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_diff__nat__number__of ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_diff__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7229), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7231)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7229)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7231)) )).
% 19.51/19.70 cnf(fact_diff__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7230), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7232)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7230)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7232), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7230)))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_Int_Oint), c_If(tc_Nat_Onat)), c_Nat__Numeral_Oneg)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Int_Onat))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_code__numeral_Orecs_I2_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_code__numeral_Orecs_I2_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u7233, _u7234, _u7235, c_Code__Numeral_OSuc__code__numeral(_u7236)) = hAPP(hAPP(_u7235, _u7236), c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u7233, _u7234, _u7235, _u7236))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_setsum__abs ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_setsum__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7237) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7237), hAPP(c_Groups_Oabs__class_Oabs(_u7237), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7238, _u7237), _u7239), _u7240))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7238, _u7237), hAPP(hAPP(c_COMBB(_u7237, _u7237, _u7238), c_Groups_Oabs__class_Oabs(_u7237)), _u7239)), _u7240))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_setsum__abs__ge__zero ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_setsum__abs__ge__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7241) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7241), c_Groups_Ozero__class_Ozero(_u7241)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7242, _u7241), hAPP(hAPP(c_COMBB(_u7241, _u7241, _u7242), c_Groups_Oabs__class_Oabs(_u7241)), _u7243)), _u7244))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_of__int__setprod ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_of__int__setprod-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7245) | ~class_Rings_Oring__1(_u7245) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7245), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7246, tc_Int_Oint), _u7247), _u7248)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7246, _u7245), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u7245, _u7246), c_Int_Oring__1__class_Oof__int(_u7245)), _u7247)), _u7248)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_of__int__setsum ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_of__int__setsum-1, axiom, ( ~class_Rings_Oring__1(_u7249) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7249), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7250, tc_Int_Oint), _u7251), _u7252)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7250, _u7249), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u7249, _u7250), c_Int_Oring__1__class_Oof__int(_u7249)), _u7251)), _u7252)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_fun__Compl__def ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_fun__Compl__def-1, axiom, ( ~class_Groups_Ouminus(_u7253) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7254, _u7253)), _u7255), _u7256) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7253), hAPP(_u7255, _u7256))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_setsum__negf ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_setsum__negf-1, axiom, ( ~class_Groups_Oab__group__add(_u7257) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7258, _u7257), hAPP(hAPP(c_COMBB(_u7257, _u7257, _u7258), c_Groups_Ouminus__class_Ouminus(_u7257)), _u7259)), _u7260) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7257), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7258, _u7257), _u7259), _u7260))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_fold__image__def ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_fold__image__def-1, axiom, ( ( hAPP(c_Finite__Set_Ofold__image(_u7261, _u7262, _u7263), _u7264) = c_Finite__Set_Ofold(_u7262, _u7261, hAPP(hAPP(c_COMBB(_u7261, tc_fun(_u7261, _u7261), _u7262), _u7263), _u7264))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_sup__fun__def ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_sup__fun__def-1, axiom, ( ~class_Lattices_Olattice(_u7265) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7266, _u7265)), _u7267), _u7268), _u7269) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7265), hAPP(_u7267, _u7269)), hAPP(_u7268, _u7269))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_inf__fun__def ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_inf__fun__def-1, axiom, ( ~class_Lattices_Olattice(_u7270) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7271, _u7270)), _u7272), _u7273), _u7274) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7270), hAPP(_u7272, _u7274)), hAPP(_u7273, _u7274))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_setprod__timesf ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_setprod__timesf-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7275) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7276, _u7275), hAPP(hAPP(c_COMBS(_u7276, _u7275, _u7275), hAPP(hAPP(c_COMBB(_u7275, tc_fun(_u7275, _u7275), _u7276), c_Groups_Otimes__class_Otimes(_u7275)), _u7277)), _u7278)), _u7279) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7275), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7276, _u7275), _u7277), _u7279)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7276, _u7275), _u7278), _u7279))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_setprod__1 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_setprod__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7280) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7281, _u7280), hAPP(c_COMBK(_u7280, _u7281), c_Groups_Oone__class_Oone(_u7280))), _u7282) = c_Groups_Oone__class_Oone(_u7280)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_setsum__divide__distrib ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_setsum__divide__distrib-1, axiom, ( ~class_Fields_Ofield(_u7283) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7283), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7284, _u7283), _u7285), _u7286)), _u7287) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7284, _u7283), hAPP(hAPP(c_COMBC(_u7284, _u7283, _u7283), hAPP(hAPP(c_COMBB(_u7283, tc_fun(_u7283, _u7283), _u7284), c_Rings_Oinverse__class_Odivide(_u7283)), _u7285)), _u7287)), _u7286)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_bot__empty__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_bot__empty__eq-1, axiom, ( ~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u7290, tc_HOL_Obool)), _u7292)) | hBOOL(hAPP(hAPP(c_member(_u7290), _u7292), c_Orderings_Obot__class_Obot(tc_fun(_u7290, tc_HOL_Obool)))) )).
% 19.51/19.70 cnf(fact_bot__empty__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7291), _u7293), c_Orderings_Obot__class_Obot(tc_fun(_u7291, tc_HOL_Obool)))) | hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u7291, tc_HOL_Obool)), _u7293)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_bot__fun__def ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_bot__fun__def-1, axiom, ( ~class_Orderings_Obot(_u7294) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u7295, _u7294)), _u7296) = c_Orderings_Obot__class_Obot(_u7294)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_sup__Un__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_sup__Un__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7301, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u7301, tc_fun(_u7301, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7301)), _u7303)), hAPP(hAPP(c_COMBC(_u7301, tc_fun(_u7301, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7301)), _u7305)), _u7307)) | hBOOL(hAPP(hAPP(c_member(_u7301), _u7307), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7301, tc_HOL_Obool)), _u7303), _u7305))) )).
% 19.51/19.70 cnf(fact_sup__Un__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7302), _u7308), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7302, tc_HOL_Obool)), _u7304), _u7306))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7302, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u7302, tc_fun(_u7302, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7302)), _u7304)), hAPP(hAPP(c_COMBC(_u7302, tc_fun(_u7302, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7302)), _u7306)), _u7308)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_inf__Int__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_inf__Int__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7313, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u7313, tc_fun(_u7313, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7313)), _u7315)), hAPP(hAPP(c_COMBC(_u7313, tc_fun(_u7313, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7313)), _u7317)), _u7319)) | hBOOL(hAPP(hAPP(c_member(_u7313), _u7319), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7313, tc_HOL_Obool)), _u7315), _u7317))) )).
% 19.51/19.70 cnf(fact_inf__Int__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7314), _u7320), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7314, tc_HOL_Obool)), _u7316), _u7318))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7314, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u7314, tc_fun(_u7314, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7314)), _u7316)), hAPP(hAPP(c_COMBC(_u7314, tc_fun(_u7314, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7314)), _u7318)), _u7320)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_bot__empty__eq2 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_bot__empty__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u7325, tc_fun(_u7327, tc_HOL_Obool))), _u7329), _u7331)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7325, _u7327)), hAPP(hAPP(c_Product__Type_OPair(_u7325, _u7327), _u7329), _u7331)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u7325, _u7327), tc_HOL_Obool)))) )).
% 19.51/19.70 cnf(fact_bot__empty__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7326, _u7328)), hAPP(hAPP(c_Product__Type_OPair(_u7326, _u7328), _u7330), _u7332)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u7326, _u7328), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u7326, tc_fun(_u7328, tc_HOL_Obool))), _u7330), _u7332)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_setsum__commute ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_setsum__commute-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7333) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7334, _u7333), hAPP(hAPP(c_COMBC(_u7334, tc_fun(_u7335, tc_HOL_Obool), _u7333), hAPP(hAPP(c_COMBB(tc_fun(_u7335, _u7333), tc_fun(tc_fun(_u7335, tc_HOL_Obool), _u7333), _u7334), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7335, _u7333)), _u7336)), _u7337)), _u7338) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7335, _u7333), hAPP(hAPP(c_COMBC(_u7335, tc_fun(_u7334, tc_HOL_Obool), _u7333), hAPP(hAPP(c_COMBB(tc_fun(_u7334, _u7333), tc_fun(tc_fun(_u7334, tc_HOL_Obool), _u7333), _u7335), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7334, _u7333)), hAPP(c_COMBC(_u7334, _u7335, _u7333), _u7336))), _u7338)), _u7337)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_fun__left__comm__idem_Ofun__left__comm__idem__apply ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u7339, _u7340, _u7341) | c_Finite__Set_Ofun__left__comm__idem(_u7342, _u7340, hAPP(hAPP(c_COMBB(_u7339, tc_fun(_u7340, _u7340), _u7342), _u7341), _u7343)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_fun__left__comm_Ofun__left__comm__apply ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_fun__left__comm_Ofun__left__comm__apply-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u7344, _u7345, _u7346) | c_Finite__Set_Ofun__left__comm(_u7347, _u7345, hAPP(hAPP(c_COMBB(_u7344, tc_fun(_u7345, _u7345), _u7347), _u7346), _u7348)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_pred__equals__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_pred__equals__eq-1, axiom, ( ( _u7354 = _u7356) | ( hAPP(hAPP(c_COMBC(_u7352, tc_fun(_u7352, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7352)), _u7354) != hAPP(hAPP(c_COMBC(_u7352, tc_fun(_u7352, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7352)), _u7356)) )).
% 19.51/19.70 cnf(fact_pred__equals__eq-2, axiom, ( ( _u7355 != _u7357) | ( hAPP(hAPP(c_COMBC(_u7353, tc_fun(_u7353, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7353)), _u7355) = hAPP(hAPP(c_COMBC(_u7353, tc_fun(_u7353, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7353)), _u7357)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_pred__equals__eq2 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_pred__equals__eq2-1, axiom, ( ( _u7366 = _u7368) | ( hAPP(hAPP(c_COMBC(_u7362, tc_fun(tc_prod(_u7362, _u7364), tc_HOL_Obool), tc_fun(_u7364, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7364, tc_fun(tc_fun(tc_prod(_u7362, _u7364), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7362, _u7364), tc_HOL_Obool), tc_fun(_u7364, tc_HOL_Obool)), _u7362), c_COMBC(_u7364, tc_fun(tc_prod(_u7362, _u7364), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7364, tc_prod(_u7362, _u7364)), tc_fun(_u7364, tc_fun(tc_fun(tc_prod(_u7362, _u7364), tc_HOL_Obool), tc_HOL_Obool)), _u7362), hAPP(c_COMBB(tc_prod(_u7362, _u7364), tc_fun(tc_fun(tc_prod(_u7362, _u7364), tc_HOL_Obool), tc_HOL_Obool), _u7364), c_member(tc_prod(_u7362, _u7364)))), c_Product__Type_OPair(_u7362, _u7364)))), _u7366) != hAPP(hAPP(c_COMBC(_u7362, tc_fun(tc_prod(_u7362, _u7364), tc_HOL_Obool), tc_fun(_u7364, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7364, tc_fun(tc_fun(tc_prod(_u7362, _u7364), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7362, _u7364), tc_HOL_Obool), tc_fun(_u7364, tc_HOL_Obool)), _u7362), c_COMBC(_u7364, tc_fun(tc_prod(_u7362, _u7364), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7364, tc_prod(_u7362, _u7364)), tc_fun(_u7364, tc_fun(tc_fun(tc_prod(_u7362, _u7364), tc_HOL_Obool), tc_HOL_Obool)), _u7362), hAPP(c_COMBB(tc_prod(_u7362, _u7364), tc_fun(tc_fun(tc_prod(_u7362, _u7364), tc_HOL_Obool), tc_HOL_Obool), _u7364), c_member(tc_prod(_u7362, _u7364)))), c_Product__Type_OPair(_u7362, _u7364)))), _u7368)) )).
% 19.51/19.70 cnf(fact_pred__equals__eq2-2, axiom, ( ( _u7367 != _u7369) | ( hAPP(hAPP(c_COMBC(_u7363, tc_fun(tc_prod(_u7363, _u7365), tc_HOL_Obool), tc_fun(_u7365, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7365, tc_fun(tc_fun(tc_prod(_u7363, _u7365), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7363, _u7365), tc_HOL_Obool), tc_fun(_u7365, tc_HOL_Obool)), _u7363), c_COMBC(_u7365, tc_fun(tc_prod(_u7363, _u7365), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7365, tc_prod(_u7363, _u7365)), tc_fun(_u7365, tc_fun(tc_fun(tc_prod(_u7363, _u7365), tc_HOL_Obool), tc_HOL_Obool)), _u7363), hAPP(c_COMBB(tc_prod(_u7363, _u7365), tc_fun(tc_fun(tc_prod(_u7363, _u7365), tc_HOL_Obool), tc_HOL_Obool), _u7365), c_member(tc_prod(_u7363, _u7365)))), c_Product__Type_OPair(_u7363, _u7365)))), _u7367) = hAPP(hAPP(c_COMBC(_u7363, tc_fun(tc_prod(_u7363, _u7365), tc_HOL_Obool), tc_fun(_u7365, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7365, tc_fun(tc_fun(tc_prod(_u7363, _u7365), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7363, _u7365), tc_HOL_Obool), tc_fun(_u7365, tc_HOL_Obool)), _u7363), c_COMBC(_u7365, tc_fun(tc_prod(_u7363, _u7365), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7365, tc_prod(_u7363, _u7365)), tc_fun(_u7365, tc_fun(tc_fun(tc_prod(_u7363, _u7365), tc_HOL_Obool), tc_HOL_Obool)), _u7363), hAPP(c_COMBB(tc_prod(_u7363, _u7365), tc_fun(tc_fun(tc_prod(_u7363, _u7365), tc_HOL_Obool), tc_HOL_Obool), _u7365), c_member(tc_prod(_u7363, _u7365)))), c_Product__Type_OPair(_u7363, _u7365)))), _u7369)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_sup__Un__eq2 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_sup__Un__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7376, tc_fun(_u7378, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u7376, tc_fun(tc_prod(_u7376, _u7378), tc_HOL_Obool), tc_fun(_u7378, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7378, tc_fun(tc_fun(tc_prod(_u7376, _u7378), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7376, _u7378), tc_HOL_Obool), tc_fun(_u7378, tc_HOL_Obool)), _u7376), c_COMBC(_u7378, tc_fun(tc_prod(_u7376, _u7378), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7378, tc_prod(_u7376, _u7378)), tc_fun(_u7378, tc_fun(tc_fun(tc_prod(_u7376, _u7378), tc_HOL_Obool), tc_HOL_Obool)), _u7376), hAPP(c_COMBB(tc_prod(_u7376, _u7378), tc_fun(tc_fun(tc_prod(_u7376, _u7378), tc_HOL_Obool), tc_HOL_Obool), _u7378), c_member(tc_prod(_u7376, _u7378)))), c_Product__Type_OPair(_u7376, _u7378)))), _u7380)), hAPP(hAPP(c_COMBC(_u7376, tc_fun(tc_prod(_u7376, _u7378), tc_HOL_Obool), tc_fun(_u7378, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7378, tc_fun(tc_fun(tc_prod(_u7376, _u7378), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7376, _u7378), tc_HOL_Obool), tc_fun(_u7378, tc_HOL_Obool)), _u7376), c_COMBC(_u7378, tc_fun(tc_prod(_u7376, _u7378), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7378, tc_prod(_u7376, _u7378)), tc_fun(_u7378, tc_fun(tc_fun(tc_prod(_u7376, _u7378), tc_HOL_Obool), tc_HOL_Obool)), _u7376), hAPP(c_COMBB(tc_prod(_u7376, _u7378), tc_fun(tc_fun(tc_prod(_u7376, _u7378), tc_HOL_Obool), tc_HOL_Obool), _u7378), c_member(tc_prod(_u7376, _u7378)))), c_Product__Type_OPair(_u7376, _u7378)))), _u7382)), _u7384), _u7386)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7376, _u7378)), hAPP(hAPP(c_Product__Type_OPair(_u7376, _u7378), _u7384), _u7386)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u7376, _u7378), tc_HOL_Obool)), _u7380), _u7382))) )).
% 19.51/19.70 cnf(fact_sup__Un__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7377, _u7379)), hAPP(hAPP(c_Product__Type_OPair(_u7377, _u7379), _u7385), _u7387)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u7377, _u7379), tc_HOL_Obool)), _u7381), _u7383))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7377, tc_fun(_u7379, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u7377, tc_fun(tc_prod(_u7377, _u7379), tc_HOL_Obool), tc_fun(_u7379, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7379, tc_fun(tc_fun(tc_prod(_u7377, _u7379), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7377, _u7379), tc_HOL_Obool), tc_fun(_u7379, tc_HOL_Obool)), _u7377), c_COMBC(_u7379, tc_fun(tc_prod(_u7377, _u7379), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7379, tc_prod(_u7377, _u7379)), tc_fun(_u7379, tc_fun(tc_fun(tc_prod(_u7377, _u7379), tc_HOL_Obool), tc_HOL_Obool)), _u7377), hAPP(c_COMBB(tc_prod(_u7377, _u7379), tc_fun(tc_fun(tc_prod(_u7377, _u7379), tc_HOL_Obool), tc_HOL_Obool), _u7379), c_member(tc_prod(_u7377, _u7379)))), c_Product__Type_OPair(_u7377, _u7379)))), _u7381)), hAPP(hAPP(c_COMBC(_u7377, tc_fun(tc_prod(_u7377, _u7379), tc_HOL_Obool), tc_fun(_u7379, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7379, tc_fun(tc_fun(tc_prod(_u7377, _u7379), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7377, _u7379), tc_HOL_Obool), tc_fun(_u7379, tc_HOL_Obool)), _u7377), c_COMBC(_u7379, tc_fun(tc_prod(_u7377, _u7379), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7379, tc_prod(_u7377, _u7379)), tc_fun(_u7379, tc_fun(tc_fun(tc_prod(_u7377, _u7379), tc_HOL_Obool), tc_HOL_Obool)), _u7377), hAPP(c_COMBB(tc_prod(_u7377, _u7379), tc_fun(tc_fun(tc_prod(_u7377, _u7379), tc_HOL_Obool), tc_HOL_Obool), _u7379), c_member(tc_prod(_u7377, _u7379)))), c_Product__Type_OPair(_u7377, _u7379)))), _u7383)), _u7385), _u7387)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_inf__Int__eq2 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_inf__Int__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7394, tc_fun(_u7396, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u7394, tc_fun(tc_prod(_u7394, _u7396), tc_HOL_Obool), tc_fun(_u7396, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7396, tc_fun(tc_fun(tc_prod(_u7394, _u7396), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7394, _u7396), tc_HOL_Obool), tc_fun(_u7396, tc_HOL_Obool)), _u7394), c_COMBC(_u7396, tc_fun(tc_prod(_u7394, _u7396), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7396, tc_prod(_u7394, _u7396)), tc_fun(_u7396, tc_fun(tc_fun(tc_prod(_u7394, _u7396), tc_HOL_Obool), tc_HOL_Obool)), _u7394), hAPP(c_COMBB(tc_prod(_u7394, _u7396), tc_fun(tc_fun(tc_prod(_u7394, _u7396), tc_HOL_Obool), tc_HOL_Obool), _u7396), c_member(tc_prod(_u7394, _u7396)))), c_Product__Type_OPair(_u7394, _u7396)))), _u7398)), hAPP(hAPP(c_COMBC(_u7394, tc_fun(tc_prod(_u7394, _u7396), tc_HOL_Obool), tc_fun(_u7396, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7396, tc_fun(tc_fun(tc_prod(_u7394, _u7396), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7394, _u7396), tc_HOL_Obool), tc_fun(_u7396, tc_HOL_Obool)), _u7394), c_COMBC(_u7396, tc_fun(tc_prod(_u7394, _u7396), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7396, tc_prod(_u7394, _u7396)), tc_fun(_u7396, tc_fun(tc_fun(tc_prod(_u7394, _u7396), tc_HOL_Obool), tc_HOL_Obool)), _u7394), hAPP(c_COMBB(tc_prod(_u7394, _u7396), tc_fun(tc_fun(tc_prod(_u7394, _u7396), tc_HOL_Obool), tc_HOL_Obool), _u7396), c_member(tc_prod(_u7394, _u7396)))), c_Product__Type_OPair(_u7394, _u7396)))), _u7400)), _u7402), _u7404)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7394, _u7396)), hAPP(hAPP(c_Product__Type_OPair(_u7394, _u7396), _u7402), _u7404)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u7394, _u7396), tc_HOL_Obool)), _u7398), _u7400))) )).
% 19.51/19.70 cnf(fact_inf__Int__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7395, _u7397)), hAPP(hAPP(c_Product__Type_OPair(_u7395, _u7397), _u7403), _u7405)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u7395, _u7397), tc_HOL_Obool)), _u7399), _u7401))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7395, tc_fun(_u7397, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u7395, tc_fun(tc_prod(_u7395, _u7397), tc_HOL_Obool), tc_fun(_u7397, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7397, tc_fun(tc_fun(tc_prod(_u7395, _u7397), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7395, _u7397), tc_HOL_Obool), tc_fun(_u7397, tc_HOL_Obool)), _u7395), c_COMBC(_u7397, tc_fun(tc_prod(_u7395, _u7397), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7397, tc_prod(_u7395, _u7397)), tc_fun(_u7397, tc_fun(tc_fun(tc_prod(_u7395, _u7397), tc_HOL_Obool), tc_HOL_Obool)), _u7395), hAPP(c_COMBB(tc_prod(_u7395, _u7397), tc_fun(tc_fun(tc_prod(_u7395, _u7397), tc_HOL_Obool), tc_HOL_Obool), _u7397), c_member(tc_prod(_u7395, _u7397)))), c_Product__Type_OPair(_u7395, _u7397)))), _u7399)), hAPP(hAPP(c_COMBC(_u7395, tc_fun(tc_prod(_u7395, _u7397), tc_HOL_Obool), tc_fun(_u7397, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7397, tc_fun(tc_fun(tc_prod(_u7395, _u7397), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7395, _u7397), tc_HOL_Obool), tc_fun(_u7397, tc_HOL_Obool)), _u7395), c_COMBC(_u7397, tc_fun(tc_prod(_u7395, _u7397), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7397, tc_prod(_u7395, _u7397)), tc_fun(_u7397, tc_fun(tc_fun(tc_prod(_u7395, _u7397), tc_HOL_Obool), tc_HOL_Obool)), _u7395), hAPP(c_COMBB(tc_prod(_u7395, _u7397), tc_fun(tc_fun(tc_prod(_u7395, _u7397), tc_HOL_Obool), tc_HOL_Obool), _u7397), c_member(tc_prod(_u7395, _u7397)))), c_Product__Type_OPair(_u7395, _u7397)))), _u7401)), _u7403), _u7405)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_setsum__right__distrib ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_setsum__right__distrib-1, axiom, ( ~class_Rings_Osemiring__0(_u7406) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7406), _u7407), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7408, _u7406), _u7409), _u7410)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7408, _u7406), hAPP(hAPP(c_COMBB(_u7406, _u7406, _u7408), hAPP(c_Groups_Otimes__class_Otimes(_u7406), _u7407)), _u7409)), _u7410)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_setsum__left__distrib ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_setsum__left__distrib-1, axiom, ( ~class_Rings_Osemiring__0(_u7411) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7411), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7412, _u7411), _u7413), _u7414)), _u7415) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7412, _u7411), hAPP(hAPP(c_COMBC(_u7412, _u7411, _u7411), hAPP(hAPP(c_COMBB(_u7411, tc_fun(_u7411, _u7411), _u7412), c_Groups_Otimes__class_Otimes(_u7411)), _u7413)), _u7415)), _u7414)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_setsum__product ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_setsum__product-1, axiom, ( ~class_Rings_Osemiring__0(_u7416) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7416), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7417, _u7416), _u7418), _u7419)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7420, _u7416), _u7421), _u7422)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7417, _u7416), hAPP(hAPP(c_COMBC(_u7417, tc_fun(_u7420, tc_HOL_Obool), _u7416), hAPP(hAPP(c_COMBB(tc_fun(_u7420, _u7416), tc_fun(tc_fun(_u7420, tc_HOL_Obool), _u7416), _u7417), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7420, _u7416)), hAPP(hAPP(c_COMBC(_u7417, tc_fun(_u7420, _u7416), tc_fun(_u7420, _u7416)), hAPP(hAPP(c_COMBB(tc_fun(_u7416, _u7416), tc_fun(tc_fun(_u7420, _u7416), tc_fun(_u7420, _u7416)), _u7417), c_COMBB(_u7416, _u7416, _u7420)), hAPP(hAPP(c_COMBB(_u7416, tc_fun(_u7416, _u7416), _u7417), c_Groups_Otimes__class_Otimes(_u7416)), _u7418))), _u7421))), _u7422)), _u7419)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_int__setsum ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_int__setsum-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7423, tc_Nat_Onat), _u7424), _u7425)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7423, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u7423), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7424)), _u7425)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_abs__setprod ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_abs__setprod-1, axiom, ( ~class_Fields_Olinordered__field(_u7426) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7426), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7427, _u7426), _u7428), _u7429)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7427, _u7426), hAPP(hAPP(c_COMBB(_u7426, _u7426, _u7427), c_Groups_Oabs__class_Oabs(_u7426)), _u7428)), _u7429)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_abs__setsum__abs ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_abs__setsum__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7430) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7430), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7431, _u7430), hAPP(hAPP(c_COMBB(_u7430, _u7430, _u7431), c_Groups_Oabs__class_Oabs(_u7430)), _u7432)), _u7433)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7431, _u7430), hAPP(hAPP(c_COMBB(_u7430, _u7430, _u7431), c_Groups_Oabs__class_Oabs(_u7430)), _u7432)), _u7433)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_setsum__0 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_setsum__0-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7434) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7435, _u7434), hAPP(c_COMBK(_u7434, _u7435), c_Groups_Ozero__class_Ozero(_u7434))), _u7436) = c_Groups_Ozero__class_Ozero(_u7434)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_fun__diff__def ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_fun__diff__def-1, axiom, ( ~class_Groups_Ominus(_u7437) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7438, _u7437)), _u7439), _u7440), _u7441) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7437), hAPP(_u7439, _u7441)), hAPP(_u7440, _u7441))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_setsum__subtractf ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_setsum__subtractf-1, axiom, ( ~class_Groups_Oab__group__add(_u7442) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7443, _u7442), hAPP(hAPP(c_COMBS(_u7443, _u7442, _u7442), hAPP(hAPP(c_COMBB(_u7442, tc_fun(_u7442, _u7442), _u7443), c_Groups_Ominus__class_Ominus(_u7442)), _u7444)), _u7445)), _u7446) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7442), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7443, _u7442), _u7444), _u7446)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7443, _u7442), _u7445), _u7446))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_int__setprod ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_int__setprod-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7447, tc_Nat_Onat), _u7448), _u7449)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7447, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u7447), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7448)), _u7449)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_setsum__addf ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_setsum__addf-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7450) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7451, _u7450), hAPP(hAPP(c_COMBS(_u7451, _u7450, _u7450), hAPP(hAPP(c_COMBB(_u7450, tc_fun(_u7450, _u7450), _u7451), c_Groups_Oplus__class_Oplus(_u7450)), _u7452)), _u7453)), _u7454) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7450), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7451, _u7450), _u7452), _u7454)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7451, _u7450), _u7453), _u7454))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_pred__subset__eq2 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_pred__subset__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7459, tc_fun(_u7461, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u7459, tc_fun(tc_prod(_u7459, _u7461), tc_HOL_Obool), tc_fun(_u7461, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7461, tc_fun(tc_fun(tc_prod(_u7459, _u7461), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7459, _u7461), tc_HOL_Obool), tc_fun(_u7461, tc_HOL_Obool)), _u7459), c_COMBC(_u7461, tc_fun(tc_prod(_u7459, _u7461), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7461, tc_prod(_u7459, _u7461)), tc_fun(_u7461, tc_fun(tc_fun(tc_prod(_u7459, _u7461), tc_HOL_Obool), tc_HOL_Obool)), _u7459), hAPP(c_COMBB(tc_prod(_u7459, _u7461), tc_fun(tc_fun(tc_prod(_u7459, _u7461), tc_HOL_Obool), tc_HOL_Obool), _u7461), c_member(tc_prod(_u7459, _u7461)))), c_Product__Type_OPair(_u7459, _u7461)))), _u7463)), hAPP(hAPP(c_COMBC(_u7459, tc_fun(tc_prod(_u7459, _u7461), tc_HOL_Obool), tc_fun(_u7461, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7461, tc_fun(tc_fun(tc_prod(_u7459, _u7461), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7459, _u7461), tc_HOL_Obool), tc_fun(_u7461, tc_HOL_Obool)), _u7459), c_COMBC(_u7461, tc_fun(tc_prod(_u7459, _u7461), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7461, tc_prod(_u7459, _u7461)), tc_fun(_u7461, tc_fun(tc_fun(tc_prod(_u7459, _u7461), tc_HOL_Obool), tc_HOL_Obool)), _u7459), hAPP(c_COMBB(tc_prod(_u7459, _u7461), tc_fun(tc_fun(tc_prod(_u7459, _u7461), tc_HOL_Obool), tc_HOL_Obool), _u7461), c_member(tc_prod(_u7459, _u7461)))), c_Product__Type_OPair(_u7459, _u7461)))), _u7465))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u7459, _u7461), tc_HOL_Obool)), _u7463), _u7465)) )).
% 19.51/19.70 cnf(fact_pred__subset__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u7460, _u7462), tc_HOL_Obool)), _u7464), _u7466)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7460, tc_fun(_u7462, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u7460, tc_fun(tc_prod(_u7460, _u7462), tc_HOL_Obool), tc_fun(_u7462, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7462, tc_fun(tc_fun(tc_prod(_u7460, _u7462), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7460, _u7462), tc_HOL_Obool), tc_fun(_u7462, tc_HOL_Obool)), _u7460), c_COMBC(_u7462, tc_fun(tc_prod(_u7460, _u7462), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7462, tc_prod(_u7460, _u7462)), tc_fun(_u7462, tc_fun(tc_fun(tc_prod(_u7460, _u7462), tc_HOL_Obool), tc_HOL_Obool)), _u7460), hAPP(c_COMBB(tc_prod(_u7460, _u7462), tc_fun(tc_fun(tc_prod(_u7460, _u7462), tc_HOL_Obool), tc_HOL_Obool), _u7462), c_member(tc_prod(_u7460, _u7462)))), c_Product__Type_OPair(_u7460, _u7462)))), _u7464)), hAPP(hAPP(c_COMBC(_u7460, tc_fun(tc_prod(_u7460, _u7462), tc_HOL_Obool), tc_fun(_u7462, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7462, tc_fun(tc_fun(tc_prod(_u7460, _u7462), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7460, _u7462), tc_HOL_Obool), tc_fun(_u7462, tc_HOL_Obool)), _u7460), c_COMBC(_u7462, tc_fun(tc_prod(_u7460, _u7462), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7462, tc_prod(_u7460, _u7462)), tc_fun(_u7462, tc_fun(tc_fun(tc_prod(_u7460, _u7462), tc_HOL_Obool), tc_HOL_Obool)), _u7460), hAPP(c_COMBB(tc_prod(_u7460, _u7462), tc_fun(tc_fun(tc_prod(_u7460, _u7462), tc_HOL_Obool), tc_HOL_Obool), _u7462), c_member(tc_prod(_u7460, _u7462)))), c_Product__Type_OPair(_u7460, _u7462)))), _u7466))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_pred__subset__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_pred__subset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7470, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u7470, tc_fun(_u7470, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7470)), _u7472)), hAPP(hAPP(c_COMBC(_u7470, tc_fun(_u7470, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7470)), _u7474))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7470, tc_HOL_Obool)), _u7472), _u7474)) )).
% 19.51/19.70 cnf(fact_pred__subset__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7471, tc_HOL_Obool)), _u7473), _u7475)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7471, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u7471, tc_fun(_u7471, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7471)), _u7473)), hAPP(hAPP(c_COMBC(_u7471, tc_fun(_u7471, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7471)), _u7475))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_setsum_Odistrib ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_setsum_Odistrib-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7476) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7477), _u7478)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7477, _u7476), hAPP(hAPP(c_COMBS(_u7477, _u7476, _u7476), hAPP(hAPP(c_COMBB(_u7476, tc_fun(_u7476, _u7476), _u7477), c_Groups_Oplus__class_Oplus(_u7476)), _u7479)), _u7480)), _u7478) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7476), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7477, _u7476), _u7479), _u7478)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7477, _u7476), _u7480), _u7478))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_setprod_Odistrib ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_setprod_Odistrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7481) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7482), _u7483)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7482, _u7481), hAPP(hAPP(c_COMBS(_u7482, _u7481, _u7481), hAPP(hAPP(c_COMBB(_u7481, tc_fun(_u7481, _u7481), _u7482), c_Groups_Otimes__class_Otimes(_u7481)), _u7484)), _u7485)), _u7483) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7481), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7482, _u7481), _u7484), _u7483)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7482, _u7481), _u7485), _u7483))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_less__eq__Suc__le__raw ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_less__eq__Suc__le__raw-1, axiom, ( ( hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7486) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7486))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__number__of__Bit0 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__number__of__Bit0-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u7487)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7487)), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_COMBI(tc_Nat_Onat)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_setprod__dividef ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_setprod__dividef-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u7488) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7489), _u7490)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7489, _u7488), hAPP(hAPP(c_COMBS(_u7489, _u7488, _u7488), hAPP(hAPP(c_COMBB(_u7488, tc_fun(_u7488, _u7488), _u7489), c_Rings_Oinverse__class_Odivide(_u7488)), _u7491)), _u7492)), _u7490) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7488), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7489, _u7488), _u7491), _u7490)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7489, _u7488), _u7492), _u7490))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat_Osize_I1_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat_Osize_I1_J-1, axiom, ( ( c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_of__nat__setsum ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_of__nat__setsum-1, axiom, ( ~class_Rings_Osemiring__1(_u7493) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7493), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7494, tc_Nat_Onat), _u7495), _u7496)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7494, _u7493), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7493, _u7494), c_Nat_Osemiring__1__class_Oof__nat(_u7493)), _u7495)), _u7496)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_transfer__nat__int__sum__prod2_I1_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_transfer__nat__int__sum__prod2_I1_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7497, tc_Nat_Onat), _u7498), _u7499) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7497, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u7497), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7498)), _u7499))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_card__eq__setsum ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_card__eq__setsum-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u7500), _u7501) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7500, tc_Nat_Onat), hAPP(c_COMBK(tc_Nat_Onat, _u7500), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u7501)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_of__nat__setprod ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_of__nat__setprod-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7502) | ~class_Rings_Osemiring__1(_u7502) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7502), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7503, tc_Nat_Onat), _u7504), _u7505)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7503, _u7502), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7502, _u7503), c_Nat_Osemiring__1__class_Oof__nat(_u7502)), _u7504)), _u7505)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_transfer__nat__int__sum__prod2_I2_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_transfer__nat__int__sum__prod2_I2_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7506, tc_Nat_Onat), _u7507), _u7508) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7506, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u7506), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7507)), _u7508))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_setsum__delta_H ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_setsum__delta_H-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7509) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7510), _u7511)) | ~hBOOL(hAPP(hAPP(c_member(_u7510), _u7512), _u7511)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7510, _u7509), hAPP(hAPP(c_COMBC(_u7510, _u7509, _u7509), hAPP(hAPP(c_COMBS(_u7510, _u7509, tc_fun(_u7509, _u7509)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7509, tc_fun(_u7509, _u7509)), _u7510), c_If(_u7509)), hAPP(c_fequal, _u7512))), _u7513)), c_Groups_Ozero__class_Ozero(_u7509))), _u7511) = hAPP(_u7513, _u7512)) )).
% 19.51/19.70 cnf(fact_setsum__delta_H-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7509) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7510), _u7511)) | hBOOL(hAPP(hAPP(c_member(_u7510), _u7512), _u7511)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7510, _u7509), hAPP(hAPP(c_COMBC(_u7510, _u7509, _u7509), hAPP(hAPP(c_COMBS(_u7510, _u7509, tc_fun(_u7509, _u7509)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7509, tc_fun(_u7509, _u7509)), _u7510), c_If(_u7509)), hAPP(c_fequal, _u7512))), _u7513)), c_Groups_Ozero__class_Ozero(_u7509))), _u7511) = c_Groups_Ozero__class_Ozero(_u7509)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_setsum__delta ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_setsum__delta-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7514) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7515), _u7516)) | ~hBOOL(hAPP(hAPP(c_member(_u7515), _u7517), _u7516)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7515, _u7514), hAPP(hAPP(c_COMBC(_u7515, _u7514, _u7514), hAPP(hAPP(c_COMBS(_u7515, _u7514, tc_fun(_u7514, _u7514)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7514, tc_fun(_u7514, _u7514)), _u7515), c_If(_u7514)), hAPP(hAPP(c_COMBC(_u7515, _u7515, tc_HOL_Obool), c_fequal), _u7517))), _u7518)), c_Groups_Ozero__class_Ozero(_u7514))), _u7516) = hAPP(_u7518, _u7517)) )).
% 19.51/19.70 cnf(fact_setsum__delta-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7514) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7515), _u7516)) | hBOOL(hAPP(hAPP(c_member(_u7515), _u7517), _u7516)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7515, _u7514), hAPP(hAPP(c_COMBC(_u7515, _u7514, _u7514), hAPP(hAPP(c_COMBS(_u7515, _u7514, tc_fun(_u7514, _u7514)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7514, tc_fun(_u7514, _u7514)), _u7515), c_If(_u7514)), hAPP(hAPP(c_COMBC(_u7515, _u7515, tc_HOL_Obool), c_fequal), _u7517))), _u7518)), c_Groups_Ozero__class_Ozero(_u7514))), _u7516) = c_Groups_Ozero__class_Ozero(_u7514)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_setprod__delta ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_setprod__delta-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7519) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7520), _u7521)) | ~hBOOL(hAPP(hAPP(c_member(_u7520), _u7522), _u7521)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7520, _u7519), hAPP(hAPP(c_COMBC(_u7520, _u7519, _u7519), hAPP(hAPP(c_COMBS(_u7520, _u7519, tc_fun(_u7519, _u7519)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7519, tc_fun(_u7519, _u7519)), _u7520), c_If(_u7519)), hAPP(hAPP(c_COMBC(_u7520, _u7520, tc_HOL_Obool), c_fequal), _u7522))), _u7523)), c_Groups_Oone__class_Oone(_u7519))), _u7521) = hAPP(_u7523, _u7522)) )).
% 19.51/19.70 cnf(fact_setprod__delta-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7519) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7520), _u7521)) | hBOOL(hAPP(hAPP(c_member(_u7520), _u7522), _u7521)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7520, _u7519), hAPP(hAPP(c_COMBC(_u7520, _u7519, _u7519), hAPP(hAPP(c_COMBS(_u7520, _u7519, tc_fun(_u7519, _u7519)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7519, tc_fun(_u7519, _u7519)), _u7520), c_If(_u7519)), hAPP(hAPP(c_COMBC(_u7520, _u7520, tc_HOL_Obool), c_fequal), _u7522))), _u7523)), c_Groups_Oone__class_Oone(_u7519))), _u7521) = c_Groups_Oone__class_Oone(_u7519)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_setprod__delta_H ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_setprod__delta_H-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7524) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7525), _u7526)) | ~hBOOL(hAPP(hAPP(c_member(_u7525), _u7527), _u7526)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7525, _u7524), hAPP(hAPP(c_COMBC(_u7525, _u7524, _u7524), hAPP(hAPP(c_COMBS(_u7525, _u7524, tc_fun(_u7524, _u7524)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7524, tc_fun(_u7524, _u7524)), _u7525), c_If(_u7524)), hAPP(c_fequal, _u7527))), _u7528)), c_Groups_Oone__class_Oone(_u7524))), _u7526) = hAPP(_u7528, _u7527)) )).
% 19.51/19.70 cnf(fact_setprod__delta_H-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7524) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7525), _u7526)) | hBOOL(hAPP(hAPP(c_member(_u7525), _u7527), _u7526)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7525, _u7524), hAPP(hAPP(c_COMBC(_u7525, _u7524, _u7524), hAPP(hAPP(c_COMBS(_u7525, _u7524, tc_fun(_u7524, _u7524)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7524, tc_fun(_u7524, _u7524)), _u7525), c_If(_u7524)), hAPP(c_fequal, _u7527))), _u7528)), c_Groups_Oone__class_Oone(_u7524))), _u7526) = c_Groups_Oone__class_Oone(_u7524)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_setsum__constant ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_setsum__constant-1, axiom, ( ~class_Rings_Osemiring__1(_u7529) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7530, _u7529), hAPP(c_COMBK(_u7529, _u7530), _u7531)), _u7532) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7529), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7529), hAPP(c_Finite__Set_Ocard(_u7530), _u7532))), _u7531)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__number__of__even ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__number__of__even-1, axiom, ( ~class_Int_Onumber__ring(_u7533) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7533), _u7534), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u7535))) = hAPP(hAPP(c_HOL_OLet(_u7533, _u7533), hAPP(hAPP(c_Power_Opower__class_Opower(_u7533), _u7534), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7535))), hAPP(hAPP(c_COMBS(_u7533, _u7533, _u7533), c_Groups_Otimes__class_Otimes(_u7533)), c_COMBI(_u7533)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_fold__image__distrib ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_fold__image__distrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7536) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7537), _u7538)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u7536, _u7537, c_Groups_Otimes__class_Otimes(_u7536)), hAPP(hAPP(c_COMBS(_u7537, _u7536, _u7536), hAPP(hAPP(c_COMBB(_u7536, tc_fun(_u7536, _u7536), _u7537), c_Groups_Otimes__class_Otimes(_u7536)), _u7539)), _u7540)), c_Groups_Oone__class_Oone(_u7536)), _u7538) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7536), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u7536, _u7537, c_Groups_Otimes__class_Otimes(_u7536)), _u7539), c_Groups_Oone__class_Oone(_u7536)), _u7538)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u7536, _u7537, c_Groups_Otimes__class_Otimes(_u7536)), _u7540), c_Groups_Oone__class_Oone(_u7536)), _u7538))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_setprod__constant ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_setprod__constant-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7541) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7542), _u7543)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7542, _u7541), hAPP(c_COMBK(_u7541, _u7542), _u7544)), _u7543) = hAPP(hAPP(c_Power_Opower__class_Opower(_u7541), _u7544), hAPP(c_Finite__Set_Ocard(_u7542), _u7543))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_zpower__number__of__even ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_zpower__number__of__even-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u7545), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u7546))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u7545), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7546))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint), c_Groups_Otimes__class_Otimes(tc_Int_Oint)), c_COMBI(tc_Int_Oint)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Powp__Pow__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Powp__Pow__eq-1, axiom, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u7550, hAPP(hAPP(c_COMBC(_u7550, tc_fun(_u7550, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7550)), _u7552)), _u7554)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u7550, tc_HOL_Obool)), _u7554), hAPP(c_Set_OPow(_u7550), _u7552))) )).
% 19.51/19.70 cnf(fact_Powp__Pow__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u7551, tc_HOL_Obool)), _u7555), hAPP(c_Set_OPow(_u7551), _u7553))) | hBOOL(hAPP(c_Predicate_OPowp(_u7551, hAPP(hAPP(c_COMBC(_u7551, tc_fun(_u7551, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7551)), _u7553)), _u7555)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_setsum__restrict__set ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_setsum__restrict__set-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7556) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7557), _u7558)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7557, _u7556), _u7559), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7557, tc_HOL_Obool)), _u7558), _u7560)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7557, _u7556), hAPP(hAPP(c_COMBC(_u7557, _u7556, _u7556), hAPP(hAPP(c_COMBS(_u7557, _u7556, tc_fun(_u7556, _u7556)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7556, tc_fun(_u7556, _u7556)), _u7557), c_If(_u7556)), hAPP(hAPP(c_COMBC(_u7557, tc_fun(_u7557, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7557)), _u7560))), _u7559)), c_Groups_Ozero__class_Ozero(_u7556))), _u7558)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__number__of__even__number__of ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__number__of__even__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u7561) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7561), hAPP(c_Int_Onumber__class_Onumber__of(_u7561), _u7562)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u7563))) = hAPP(hAPP(c_HOL_OLet(_u7561, _u7561), hAPP(hAPP(c_Power_Opower__class_Opower(_u7561), hAPP(c_Int_Onumber__class_Onumber__of(_u7561), _u7562)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7563))), hAPP(hAPP(c_COMBS(_u7561, _u7561, _u7561), c_Groups_Otimes__class_Otimes(_u7561)), c_COMBI(_u7561)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_card_Oeq__fold__g ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_card_Oeq__fold__g-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7564), _u7565)) | ( hAPP(c_Finite__Set_Ocard(_u7564), _u7565) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u7564, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u7564), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7565)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_card__def ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_card__def-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7568), _u7570)) | ( hAPP(c_Finite__Set_Ocard(_u7568), _u7570) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u7568, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u7568), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7570)) )).
% 19.51/19.70 cnf(fact_card__def-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u7569), _u7571)) | ( hAPP(c_Finite__Set_Ocard(_u7569), _u7571) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_fun__left__comm__idem__remove ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_fun__left__comm__idem__remove-1, axiom, ( c_Finite__Set_Ofun__left__comm__idem(_u7572, tc_fun(_u7572, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u7572, tc_HOL_Obool), tc_fun(tc_fun(_u7572, tc_HOL_Obool), tc_fun(_u7572, tc_HOL_Obool)), _u7572), hAPP(c_COMBC(tc_fun(_u7572, tc_HOL_Obool), tc_fun(_u7572, tc_HOL_Obool), tc_fun(_u7572, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u7572, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u7572, tc_fun(_u7572, tc_HOL_Obool), tc_fun(_u7572, tc_HOL_Obool)), c_Set_Oinsert(_u7572)), c_Orderings_Obot__class_Obot(tc_fun(_u7572, tc_HOL_Obool))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_diff__nat__eq__if ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_diff__nat__eq__if-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u7575)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u7577)), hAPP(c_Int_Onat, _u7575)) = hAPP(c_Int_Onat, _u7577)) )).
% 19.51/19.70 cnf(fact_diff__nat__eq__if-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u7576)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u7578)), hAPP(c_Int_Onat, _u7576)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7578), _u7576)), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_Int_Oint), c_If(tc_Nat_Onat)), c_Nat__Numeral_Oneg)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Int_Onat))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_negDivAlg__div__mod ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_negDivAlg__div__mod-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7579), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7580)) | ( c_Divides_OnegDivAlg(_u7579, _u7580) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7579), _u7580)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7579, _u7580))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_negDivAlg__minus1 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_negDivAlg__minus1-1, axiom, ( ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u7581) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7581), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_adjust__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_adjust__eq-1, axiom, ( ( hAPP(c_Divides_Oadjust(_u7582), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7583), _u7584)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7584), _u7582)), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint), tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_prod(tc_Int_Oint, tc_Int_Oint))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_prod(tc_Int_Oint, tc_Int_Oint))), tc_Int_Oint), c_If(tc_prod(tc_Int_Oint, tc_Int_Oint))), hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u7583)), c_Groups_Oone__class_Oone(tc_Int_Oint))))), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u7583)), _u7584)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_minus__fold__remove ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_minus__fold__remove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7585), _u7586)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7585, tc_HOL_Obool)), _u7587), _u7586) = hAPP(hAPP(c_Finite__Set_Ofold(_u7585, tc_fun(_u7585, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u7585, tc_HOL_Obool), tc_fun(tc_fun(_u7585, tc_HOL_Obool), tc_fun(_u7585, tc_HOL_Obool)), _u7585), hAPP(c_COMBC(tc_fun(_u7585, tc_HOL_Obool), tc_fun(_u7585, tc_HOL_Obool), tc_fun(_u7585, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u7585, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u7585, tc_fun(_u7585, tc_HOL_Obool), tc_fun(_u7585, tc_HOL_Obool)), c_Set_Oinsert(_u7585)), c_Orderings_Obot__class_Obot(tc_fun(_u7585, tc_HOL_Obool))))), _u7587), _u7586)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_eq__number__of__Suc ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_eq__number__of__Suc-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7590) != hAPP(c_Nat_OSuc, _u7592)) | hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_HOL_Obool), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7590))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Int_Oint), c_fequal), c_Int_Onat)), _u7592))))) )).
% 19.51/19.70 cnf(fact_eq__number__of__Suc-2, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_HOL_Obool), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7591))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Int_Oint), c_fequal), c_Int_Onat)), _u7593))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7591) = hAPP(c_Nat_OSuc, _u7593)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Suc__eq__number__of ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Suc__eq__number__of-1, axiom, ( ( hAPP(c_Nat_OSuc, _u7596) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7598)) | hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_HOL_Obool), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7598))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Int_Oint), c_fequal), c_Int_Onat)), _u7596))))) )).
% 19.51/19.70 cnf(fact_Suc__eq__number__of-2, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_HOL_Obool), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7599))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Int_Oint), c_fequal), c_Int_Onat)), _u7597))))) | ( hAPP(c_Nat_OSuc, _u7597) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7599)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__number__of__Bit1 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__number__of__Bit1-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7601))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u7601)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.70 cnf(fact_nat__number__of__Bit1-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7602))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u7602)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7602)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_COMBI(tc_Nat_Onat))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_less__Suc__number__of ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_less__Suc__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7605)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7607))) | hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_HOL_Obool), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7607))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_Int_Oint), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7605)), c_Int_Onat))))) )).
% 19.51/19.70 cnf(fact_less__Suc__number__of-2, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_HOL_Obool), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7608))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_Int_Oint), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7606)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7606)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7608))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_less__number__of__Suc ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_less__number__of__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7611)), hAPP(c_Nat_OSuc, _u7613))) | hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_HOL_Obool), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7611))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Int_Oint), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), c_Int_Onat)), _u7613)))) )).
% 19.51/19.70 cnf(fact_less__number__of__Suc-2, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_HOL_Obool), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7612))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Int_Oint), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), c_Int_Onat)), _u7614)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7612)), hAPP(c_Nat_OSuc, _u7614))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_le__Suc__number__of ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_le__Suc__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7617)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7619))) | hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_HOL_Obool), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7619))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_Int_Oint), hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7617)), c_Int_Onat))))) )).
% 19.51/19.70 cnf(fact_le__Suc__number__of-2, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_HOL_Obool), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7620))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_Int_Oint), hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7618)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7618)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7620))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_le__number__of__Suc ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_le__number__of__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7623)), hAPP(c_Nat_OSuc, _u7625))) | hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_HOL_Obool), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7623))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Int_Oint), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)), c_Int_Onat)), _u7625)))) )).
% 19.51/19.70 cnf(fact_le__number__of__Suc-2, axiom, ( ~hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_HOL_Obool), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7624))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Int_Oint), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)), c_Int_Onat)), _u7626)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7624)), hAPP(c_Nat_OSuc, _u7626))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__number__of__odd ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__number__of__odd-1, axiom, ( ~class_Int_Onumber__ring(_u7627) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7628))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7627), _u7629), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u7628))) = hAPP(hAPP(c_HOL_OLet(_u7627, _u7627), hAPP(hAPP(c_Power_Opower__class_Opower(_u7627), _u7629), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7628))), hAPP(hAPP(c_COMBS(_u7627, _u7627, _u7627), hAPP(hAPP(c_COMBB(_u7627, tc_fun(_u7627, _u7627), _u7627), c_Groups_Otimes__class_Otimes(_u7627)), hAPP(c_Groups_Otimes__class_Otimes(_u7627), _u7629))), c_COMBI(_u7627)))) )).
% 19.51/19.70 cnf(fact_power__number__of__odd-2, axiom, ( ~class_Int_Onumber__ring(_u7627) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7628))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7627), _u7629), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u7628))) = c_Groups_Oone__class_Oone(_u7627)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_setprod__gen__delta ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_setprod__gen__delta-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7630) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7631), _u7632)) | ~hBOOL(hAPP(hAPP(c_member(_u7631), _u7633), _u7632)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7631, _u7630), hAPP(hAPP(c_COMBC(_u7631, _u7630, _u7630), hAPP(hAPP(c_COMBS(_u7631, _u7630, tc_fun(_u7630, _u7630)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7630, tc_fun(_u7630, _u7630)), _u7631), c_If(_u7630)), hAPP(hAPP(c_COMBC(_u7631, _u7631, tc_HOL_Obool), c_fequal), _u7633))), _u7634)), _u7635)), _u7632) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7630), hAPP(_u7634, _u7633)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7630), _u7635), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7631), _u7632)), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 19.51/19.70 cnf(fact_setprod__gen__delta-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7630) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7631), _u7632)) | hBOOL(hAPP(hAPP(c_member(_u7631), _u7633), _u7632)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7631, _u7630), hAPP(hAPP(c_COMBC(_u7631, _u7630, _u7630), hAPP(hAPP(c_COMBS(_u7631, _u7630, tc_fun(_u7630, _u7630)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7630, tc_fun(_u7630, _u7630)), _u7631), c_If(_u7630)), hAPP(hAPP(c_COMBC(_u7631, _u7631, tc_HOL_Obool), c_fequal), _u7633))), _u7634)), _u7635)), _u7632) = hAPP(hAPP(c_Power_Opower__class_Opower(_u7630), _u7635), hAPP(c_Finite__Set_Ocard(_u7631), _u7632))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_zpower__number__of__odd ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_zpower__number__of__odd-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7638))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u7640), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u7638))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u7640), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7638))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint), c_Groups_Otimes__class_Otimes(tc_Int_Oint)), hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7640))), c_COMBI(tc_Int_Oint)))) )).
% 19.51/19.70 cnf(fact_zpower__number__of__odd-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7639))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u7641), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u7639))) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_negDivAlg_Osimps ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_negDivAlg_Osimps-1, axiom, ( ( c_Divides_OnegDivAlg(_u7644, _u7646) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7644), _u7646))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7644), _u7646))) )).
% 19.51/19.70 cnf(fact_negDivAlg_Osimps-2, axiom, ( ( c_Divides_OnegDivAlg(_u7644, _u7646) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7644), _u7646))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7646), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.70 cnf(fact_negDivAlg_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7645), _u7647))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7647), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u7645, _u7647) = hAPP(c_Divides_Oadjust(_u7647), c_Divides_OnegDivAlg(_u7645, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u7647)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_min__number__of__Suc ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_min__number__of__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7648)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7649)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7649))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_Int_Oint), c_If(tc_Nat_Onat)), c_Nat__Numeral_Oneg)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Int_Oint), c_Nat_OSuc), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Int_Oint), hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u7648)), c_Int_Onat))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_min__Suc__number__of ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_min__Suc__number__of-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7650)), hAPP(c_Nat_OSuc, _u7651)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7650))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_Int_Oint), c_If(tc_Nat_Onat)), c_Nat__Numeral_Oneg)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Int_Oint), c_Nat_OSuc), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_Int_Oint), c_Orderings_Oord__class_Omin(tc_Nat_Onat)), c_Int_Onat)), _u7651))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_power__number__of__odd__number__of ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_power__number__of__odd__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u7652) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7653))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7652), hAPP(c_Int_Onumber__class_Onumber__of(_u7652), _u7654)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u7653))) = hAPP(hAPP(c_HOL_OLet(_u7652, _u7652), hAPP(hAPP(c_Power_Opower__class_Opower(_u7652), hAPP(c_Int_Onumber__class_Onumber__of(_u7652), _u7654)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7653))), hAPP(hAPP(c_COMBS(_u7652, _u7652, _u7652), hAPP(hAPP(c_COMBB(_u7652, tc_fun(_u7652, _u7652), _u7652), c_Groups_Otimes__class_Otimes(_u7652)), hAPP(c_Groups_Otimes__class_Otimes(_u7652), hAPP(c_Int_Onumber__class_Onumber__of(_u7652), _u7654)))), c_COMBI(_u7652)))) )).
% 19.51/19.70 cnf(fact_power__number__of__odd__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u7652) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7653))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7652), hAPP(c_Int_Onumber__class_Onumber__of(_u7652), _u7654)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u7653))) = c_Groups_Oone__class_Oone(_u7652)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_code__numeral_Orecs_I1_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_code__numeral_Orecs_I1_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u7655, _u7656, _u7657, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u7656) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_negDivAlg__eqn ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_negDivAlg__eqn-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7658)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7659), _u7658))) | ( c_Divides_OnegDivAlg(_u7659, _u7658) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7659), _u7658))) )).
% 19.51/19.70 cnf(fact_negDivAlg__eqn-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7658)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7659), _u7658))) | ( c_Divides_OnegDivAlg(_u7659, _u7658) = hAPP(c_Divides_Oadjust(_u7658), c_Divides_OnegDivAlg(_u7659, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u7658)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_negDivAlg__eqn__number__of ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_negDivAlg__eqn__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7660))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7661)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7660)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7661), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7660)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7661)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7660)))) )).
% 19.51/19.70 cnf(fact_negDivAlg__eqn__number__of-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7660))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7661)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7660)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7661), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7660)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7660)), c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7661), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7660))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_norm__frac_Osimps ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_norm__frac_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7664), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u7666, _u7664) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7666), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7664))) )).
% 19.51/19.70 cnf(fact_norm__frac_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7665), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u7667, _u7665) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u7667 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.51/19.70 cnf(fact_norm__frac_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7665), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u7667, _u7665) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u7665 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.51/19.70 cnf(fact_norm__frac_Osimps-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7665), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7667 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7665 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u7667, _u7665) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u7667), _u7665)), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_Int_Oint), c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint)), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7667))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7665)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__case__add__eq__if ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__case__add__eq__if-1, axiom, ( ( c_Nat_Onat_Onat__case(_u7668, _u7669, _u7670, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7671)), _u7672)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u7668), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7671))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u7668, _u7668), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u7668, tc_fun(_u7668, _u7668)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7668, tc_fun(_u7668, _u7668)), tc_Int_Oint), c_If(_u7668)), c_Nat__Numeral_Oneg)), c_Nat_Onat_Onat__case(_u7668, _u7669, _u7670, _u7672))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7668, tc_Int_Oint), _u7670), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Int_Onat)), _u7672))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_posDivAlg__eqn__1__number__of ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_posDivAlg__eqn__1__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7673))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7673))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7673)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 19.51/19.70 cnf(fact_posDivAlg__eqn__1__number__of-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7673))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7673))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7673)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7673)), c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7673))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_posDivAlg_Osimps ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_posDivAlg_Osimps-1, axiom, ( ( c_Divides_OposDivAlg(_u7676, _u7678) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7676)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7676), _u7678)) )).
% 19.51/19.70 cnf(fact_posDivAlg_Osimps-2, axiom, ( ( c_Divides_OposDivAlg(_u7676, _u7678) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7676)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7678), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.70 cnf(fact_posDivAlg_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7677), _u7679)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7679), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u7677, _u7679) = hAPP(c_Divides_Oadjust(_u7679), c_Divides_OposDivAlg(_u7677, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u7679)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_sup2E ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_sup2E-1, axiom, ( hBOOL(hAPP(hAPP(_u7682, _u7684), _u7685)) | hBOOL(hAPP(hAPP(_u7683, _u7684), _u7685)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7680, tc_fun(_u7681, tc_HOL_Obool))), _u7682), _u7683), _u7684), _u7685)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_sup2CI ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_sup2CI-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7690, tc_fun(_u7691, tc_HOL_Obool))), _u7689), _u7686), _u7687), _u7688)) | ~hBOOL(hAPP(hAPP(_u7686, _u7687), _u7688)) )).
% 19.51/19.70 cnf(fact_sup2CI-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7690, tc_fun(_u7691, tc_HOL_Obool))), _u7689), _u7686), _u7687), _u7688)) | ~hBOOL(hAPP(hAPP(_u7689, _u7687), _u7688)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_inf2I ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_inf2I-1, axiom, ( ~hBOOL(hAPP(hAPP(_u7692, _u7693), _u7694)) | ~hBOOL(hAPP(hAPP(_u7695, _u7693), _u7694)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7696, tc_fun(_u7697, tc_HOL_Obool))), _u7692), _u7695), _u7693), _u7694)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_inf2E ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_inf2E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7698, tc_fun(_u7699, tc_HOL_Obool))), _u7700), _u7701), _u7702), _u7703)) | hBOOL(hAPP(hAPP(_u7700, _u7702), _u7703)) )).
% 19.51/19.70 cnf(fact_inf2E-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7698, tc_fun(_u7699, tc_HOL_Obool))), _u7700), _u7701), _u7702), _u7703)) | hBOOL(hAPP(hAPP(_u7701, _u7702), _u7703)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_bot2E ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_bot2E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u7704, tc_fun(_u7705, tc_HOL_Obool))), _u7706), _u7707)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_rev__predicate2D ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_rev__predicate2D-1, axiom, ( ~hBOOL(hAPP(hAPP(_u7708, _u7709), _u7710)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7711, tc_fun(_u7712, tc_HOL_Obool))), _u7708), _u7713)) | hBOOL(hAPP(hAPP(_u7713, _u7709), _u7710)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_predicate2D ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_predicate2D-1, axiom, ( ~hBOOL(hAPP(hAPP(_u7716, _u7718), _u7719)) | hBOOL(hAPP(hAPP(_u7717, _u7718), _u7719)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7714, tc_fun(_u7715, tc_HOL_Obool))), _u7716), _u7717)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_less__by__empty ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_less__by__empty-1, axiom, ( ( _u7720 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u7721, _u7721), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u7721, _u7721), tc_HOL_Obool)), _u7720), _u7722)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_inf2D1 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_inf2D1-1, axiom, ( hBOOL(hAPP(hAPP(_u7725, _u7727), _u7728)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7723, tc_fun(_u7724, tc_HOL_Obool))), _u7725), _u7726), _u7727), _u7728)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_inf2D2 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_inf2D2-1, axiom, ( hBOOL(hAPP(hAPP(_u7732, _u7733), _u7734)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7729, tc_fun(_u7730, tc_HOL_Obool))), _u7731), _u7732), _u7733), _u7734)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_sup2I1 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_sup2I1-1, axiom, ( ~hBOOL(hAPP(hAPP(_u7735, _u7736), _u7737)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7738, tc_fun(_u7739, tc_HOL_Obool))), _u7735), _u7740), _u7736), _u7737)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_sup2I2 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_sup2I2-1, axiom, ( ~hBOOL(hAPP(hAPP(_u7741, _u7742), _u7743)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7744, tc_fun(_u7745, tc_HOL_Obool))), _u7746), _u7741), _u7742), _u7743)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__case__0 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__case__0-1, axiom, ( ( c_Nat_Onat_Onat__case(_u7747, _u7748, _u7749, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u7748) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__case__Suc ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__case__Suc-1, axiom, ( ( c_Nat_Onat_Onat__case(_u7750, _u7751, _u7752, hAPP(c_Nat_OSuc, _u7753)) = hAPP(_u7752, _u7753)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_posDivAlg__0 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_posDivAlg__0-1, axiom, ( ( c_Divides_OposDivAlg(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u7754) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_less__eq__nat_Osimps_I2_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_less__eq__nat_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7757)), _u7759)) | hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7757), _u7759)) )).
% 19.51/19.70 cnf(fact_less__eq__nat_Osimps_I2_J-2, axiom, ( ~hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7758), _u7760)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7758)), _u7760)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_diff__Suc ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_diff__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7761), hAPP(c_Nat_OSuc, _u7762)) = c_Nat_Onat_Onat__case(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_COMBI(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7761), _u7762))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_min__Suc1 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_min__Suc1-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7763)), _u7764) = c_Nat_Onat_Onat__case(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u7763)), _u7764)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_min__Suc2 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_min__Suc2-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u7765), hAPP(c_Nat_OSuc, _u7766)) = c_Nat_Onat_Onat__case(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Orderings_Oord__class_Omin(tc_Nat_Onat)), _u7766)), _u7765)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_posDivAlg__div__mod ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_posDivAlg__div__mod-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7767)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7768)) | ( c_Divides_OposDivAlg(_u7767, _u7768) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7767), _u7768)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7767, _u7768))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__case__number__of ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__case__number__of-1, axiom, ( ( c_Nat_Onat_Onat__case(_u7769, _u7770, _u7771, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7772)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u7769), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7772))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u7769, _u7769), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u7769, tc_fun(_u7769, _u7769)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7769, tc_fun(_u7769, _u7769)), tc_Int_Oint), c_If(_u7769)), c_Nat__Numeral_Oneg)), _u7770)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7769, tc_Int_Oint), _u7771), c_Int_Onat)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_posDivAlg__eqn ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_posDivAlg__eqn-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7773)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7774), _u7773)) | ( c_Divides_OposDivAlg(_u7774, _u7773) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7774)) )).
% 19.51/19.70 cnf(fact_posDivAlg__eqn-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7773)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7774), _u7773)) | ( c_Divides_OposDivAlg(_u7774, _u7773) = hAPP(c_Divides_Oadjust(_u7773), c_Divides_OposDivAlg(_u7774, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u7773)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_posDivAlg__eqn__number__of ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_posDivAlg__eqn__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7775))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7776)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7775))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7776), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7775)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7776))) )).
% 19.51/19.70 cnf(fact_posDivAlg__eqn__number__of-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7775))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7776)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7775))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7776), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7775)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7775)), c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7776), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7775))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_in__rel__def ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_in__rel__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u7782, _u7784, _u7786), _u7788), _u7790)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7782, _u7784)), hAPP(hAPP(c_Product__Type_OPair(_u7782, _u7784), _u7788), _u7790)), _u7786)) )).
% 19.51/19.70 cnf(fact_in__rel__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7783, _u7785)), hAPP(hAPP(c_Product__Type_OPair(_u7783, _u7785), _u7789), _u7791)), _u7787)) | hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u7783, _u7785, _u7787), _u7789), _u7791)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_div__mod__code__numeral__def ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_div__mod__code__numeral__def-1, axiom, ( ( c_Code__Numeral_Odiv__mod__code__numeral(_u7792, _u7793) = hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u7792), _u7793)), c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u7792, _u7793))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Nitpick_Orefl_H__def ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Nitpick_Orefl_H__def-1, axiom, ( ~c_Nitpick_Orefl_H(_u7798, _u7800) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7798, _u7798)), hAPP(hAPP(c_Product__Type_OPair(_u7798, _u7798), _u7794), _u7794)), _u7800)) )).
% 19.51/19.70 cnf(fact_Nitpick_Orefl_H__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7799, _u7799)), hAPP(hAPP(c_Product__Type_OPair(_u7799, _u7799), skolem148(_u7801, _u7799)), skolem148(_u7801, _u7799))), _u7801)) | c_Nitpick_Orefl_H(_u7799, _u7801) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_adjust__def ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_adjust__def-1, axiom, ( ( c_Divides_Oadjust(_u7802) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint))), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_fun(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_prod(tc_Int_Oint, tc_Int_Oint))), tc_fun(tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint))), tc_Int_Oint), c_COMBS(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint), tc_prod(tc_Int_Oint, tc_Int_Oint))), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_fun(tc_Int_Oint, tc_fun(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_prod(tc_Int_Oint, tc_Int_Oint))), tc_Int_Oint), hAPP(c_COMBS(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_prod(tc_Int_Oint, tc_Int_Oint))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_prod(tc_Int_Oint, tc_Int_Oint))), tc_Int_Oint), c_If(tc_prod(tc_Int_Oint, tc_Int_Oint))), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_HOL_Obool, tc_Int_Oint), hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint), c_Groups_Ominus__class_Ominus(tc_Int_Oint)), _u7802))))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint))), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_fun(tc_fun(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint))), tc_Int_Oint), c_COMBB(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint)), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_Int_Oint), c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Int_Oint)), hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Oone__class_Oone(tc_Int_Oint))))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint), c_Groups_Ominus__class_Ominus(tc_Int_Oint)), _u7802))))), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_Int_Oint), c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint)), hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_of__int__num ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_of__int__num-1, axiom, ( ~class_Rings_Oring__1(_u7803) | ( _u7804 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7803), _u7804) = c_Groups_Ozero__class_Ozero(_u7803)) )).
% 19.51/19.70 cnf(fact_of__int__num-2, axiom, ( ~class_Rings_Oring__1(_u7803) | ( _u7804 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7804), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7803), _u7804) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7803), hAPP(c_Int_Oring__1__class_Oof__int(_u7803), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7804)))) )).
% 19.51/19.70 cnf(fact_of__int__num-3, axiom, ( ~class_Rings_Oring__1(_u7803) | ( _u7804 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7804), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7803), _u7804) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, _u7803), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_fun(_u7803, _u7803)), tc_fun(tc_Int_Oint, _u7803)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u7803, _u7803), _u7803), tc_fun(tc_fun(tc_Int_Oint, tc_fun(_u7803, _u7803)), tc_fun(tc_Int_Oint, _u7803)), tc_Int_Oint), c_COMBB(tc_fun(_u7803, _u7803), _u7803, tc_Int_Oint)), hAPP(hAPP(c_COMBB(_u7803, tc_fun(tc_fun(_u7803, _u7803), _u7803), tc_Int_Oint), c_HOL_OLet(_u7803, _u7803)), c_Int_Oring__1__class_Oof__int(_u7803)))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u7803, _u7803), tc_fun(_u7803, _u7803)), hAPP(hAPP(c_COMBB(tc_fun(_u7803, tc_fun(_u7803, _u7803)), tc_fun(tc_fun(_u7803, _u7803), tc_fun(_u7803, _u7803)), tc_Int_Oint), c_COMBS(_u7803, _u7803, _u7803)), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u7803, _u7803), tc_fun(_u7803, tc_fun(_u7803, _u7803))), hAPP(hAPP(c_COMBB(tc_fun(_u7803, tc_fun(_u7803, _u7803)), tc_fun(tc_fun(_u7803, _u7803), tc_fun(_u7803, tc_fun(_u7803, _u7803))), tc_Int_Oint), c_COMBB(_u7803, tc_fun(_u7803, _u7803), _u7803)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7803, tc_fun(_u7803, _u7803)), tc_Int_Oint), c_If(_u7803)), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool), c_fequal), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), hAPP(hAPP(c_COMBS(_u7803, _u7803, _u7803), c_Groups_Oplus__class_Oplus(_u7803)), c_COMBI(_u7803))))), hAPP(hAPP(c_COMBC(_u7803, _u7803, _u7803), hAPP(hAPP(c_COMBB(_u7803, tc_fun(_u7803, _u7803), _u7803), c_Groups_Oplus__class_Oplus(_u7803)), hAPP(hAPP(c_COMBS(_u7803, _u7803, _u7803), c_Groups_Oplus__class_Oplus(_u7803)), c_COMBI(_u7803)))), c_Groups_Oone__class_Oone(_u7803))))), c_Divides_Odivmod__int(_u7804, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_divmod__nat__step ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_divmod__nat__step-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7805)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7805), _u7806)) | ( c_Divides_Odivmod__nat(_u7806, _u7805) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7806), _u7805)), _u7805))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7806), _u7805), _u7805))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__rec__add__eq__if ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__rec__add__eq__if-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u7807, _u7808, _u7809), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7810)), _u7811)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u7807), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7810))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u7807, _u7807), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u7807, tc_fun(_u7807, _u7807)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7807, tc_fun(_u7807, _u7807)), tc_Int_Oint), c_If(_u7807)), c_Nat__Numeral_Oneg)), hAPP(c_Nat_Onat_Onat__rec(_u7807, _u7808, _u7809), _u7811))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u7807, _u7807), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u7807, _u7807), tc_Int_Oint), _u7809), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Int_Onat)), _u7811))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7807, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u7807, _u7808, _u7809)), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Int_Onat)), _u7811)))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_semiring__1__class_Oof__nat__code ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_semiring__1__class_Oof__nat__code-1, axiom, ( ~class_Rings_Osemiring__1(_u7812) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7812), _u7813) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u7812, hAPP(hAPP(c_COMBC(_u7812, _u7812, _u7812), c_Groups_Oplus__class_Oplus(_u7812)), c_Groups_Oone__class_Oone(_u7812)), _u7813, c_Groups_Ozero__class_Ozero(_u7812))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__rec__0 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__rec__0-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u7814, _u7815, _u7816), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u7815) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__rec__Suc ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__rec__Suc-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u7817, _u7818, _u7819), hAPP(c_Nat_OSuc, _u7820)) = hAPP(hAPP(_u7819, _u7820), hAPP(c_Nat_Onat_Onat__rec(_u7817, _u7818, _u7819), _u7820))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_divmod__nat__zero ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_divmod__nat__zero-1, axiom, ( ( c_Divides_Odivmod__nat(_u7821, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7821)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_of__nat__aux_Osimps_I1_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_of__nat__aux_Osimps_I1_J-1, axiom, ( ~class_Rings_Osemiring__1(_u7822) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u7822, _u7823, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u7824) = _u7824) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_of__nat__aux_Osimps_I2_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_of__nat__aux_Osimps_I2_J-1, axiom, ( ~class_Rings_Osemiring__1(_u7825) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u7825, _u7826, hAPP(c_Nat_OSuc, _u7827), _u7828) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u7825, _u7826, _u7827, hAPP(_u7826, _u7828))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_divmod__nat__base ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_divmod__nat__base-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7829), _u7830)) | ( c_Divides_Odivmod__nat(_u7829, _u7830) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7829)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_divmod__nat__div__mod ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_divmod__nat__div__mod-1, axiom, ( ( c_Divides_Odivmod__nat(_u7831, _u7832) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7831), _u7832)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7831, _u7832))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_divmod__int__mod__div ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_divmod__int__mod__div-1, axiom, ( ( c_Divides_Odivmod__int(_u7833, _u7834) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7833), _u7834)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7833, _u7834))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__rec__number__of ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__rec__number__of-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u7835, _u7836, _u7837), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7838)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u7835), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7838))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u7835, _u7835), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u7835, tc_fun(_u7835, _u7835)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7835, tc_fun(_u7835, _u7835)), tc_Int_Oint), c_If(_u7835)), c_Nat__Numeral_Oneg)), _u7836)), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u7835, _u7835), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u7835, _u7835), tc_Int_Oint), _u7837), c_Int_Onat)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7835, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u7835, _u7836, _u7837)), c_Int_Onat))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Nitpick_OFrac__def ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Nitpick_OFrac__def-1, axiom, ( ( c_Nitpick_OFrac = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_Int_Oint), hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), tc_fun(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), tc_Int_Oint), c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), tc_Int_Oint), hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_Int_Oint), c_fequal)), c_Nitpick_Oint__gcd))), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_divmod__int__def ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_divmod__int__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7841)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7843)) | ( c_Divides_Odivmod__int(_u7841, _u7843) = c_Divides_OposDivAlg(_u7841, _u7843)) )).
% 19.51/19.70 cnf(fact_divmod__int__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7841)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7843)) | ( _u7841 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u7841, _u7843) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.70 cnf(fact_divmod__int__def-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7841)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7843)) | ( _u7841 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u7841, _u7843) = hAPP(c_Divides_OnegateSnd, c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7841), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7843)))) )).
% 19.51/19.70 cnf(fact_divmod__int__def-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7842)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7844)) | ( c_Divides_Odivmod__int(_u7842, _u7844) = c_Divides_OnegDivAlg(_u7842, _u7844)) )).
% 19.51/19.70 cnf(fact_divmod__int__def-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7842)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7844)) | ( c_Divides_Odivmod__int(_u7842, _u7844) = hAPP(c_Divides_OnegateSnd, c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7842), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7844)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_divmod__int__pdivmod ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_divmod__int__pdivmod-1, axiom, ( ( _u7847 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u7847, _u7849) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.70 cnf(fact_divmod__int__pdivmod-2, axiom, ( ( _u7848 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7850 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u7848, _u7850) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7848)) )).
% 19.51/19.70 cnf(fact_divmod__int__pdivmod-3, axiom, ( ( _u7848 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7850 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u7848, _u7850) = hAPP(c_Product__Type_Oapsnd(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u7850))), hAPP(hAPP(hAPP(c_If(tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_fdisj, hAPP(hAPP(c_fconj, hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7850)), hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7848))), hAPP(hAPP(c_fconj, hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7850), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7848), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), c_Divides_Opdivmod(_u7848, _u7850)), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint))), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_fun(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_prod(tc_Int_Oint, tc_Int_Oint))), tc_fun(tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint))), tc_Int_Oint), c_COMBS(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint), tc_prod(tc_Int_Oint, tc_Int_Oint))), hAPP(hAPP(c_COMBB(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_Int_Oint, tc_fun(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_prod(tc_Int_Oint, tc_Int_Oint))), tc_Int_Oint), hAPP(c_COMBC(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_prod(tc_Int_Oint, tc_Int_Oint))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_prod(tc_Int_Oint, tc_Int_Oint))), tc_Int_Oint), c_If(tc_prod(tc_Int_Oint, tc_Int_Oint))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool), c_fequal), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_Int_Oint), c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint)), c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint))), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_fun(tc_fun(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint))), tc_Int_Oint), c_COMBB(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint)), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_Int_Oint), c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint), c_Groups_Ominus__class_Ominus(tc_Int_Oint)), c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))), c_Groups_Oone__class_Oone(tc_Int_Oint))))), hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7850))))), c_Divides_Opdivmod(_u7848, _u7850))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_divmod__nat__rel__mult2__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_divmod__nat__rel__mult2__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7851, _u7852), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7853), _u7854))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7852)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7855)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7851, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7852), _u7855)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7853), _u7855)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7852), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7853, _u7855))), _u7854)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_negateSnd__def ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_negateSnd__def-1, axiom, ( ( c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_divmod__nat__rel__unique ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_divmod__nat__rel__unique-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7856, _u7857), _u7858)) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7856, _u7857), _u7859)) | ( _u7858 = _u7859) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_divmod__nat__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_divmod__nat__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7860, _u7861), _u7862)) | ( c_Divides_Odivmod__nat(_u7860, _u7861) = _u7862) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_divmod__nat__rel__divmod__nat ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_divmod__nat__rel__divmod__nat-1, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7863, _u7864), c_Divides_Odivmod__nat(_u7863, _u7864))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mod__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mod__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7865, _u7866), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7867), _u7868))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7865, _u7866) = _u7868) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_div__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_div__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7869, _u7870), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7871), _u7872))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7869), _u7870) = _u7871) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_negateSnd__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_negateSnd__eq-1, axiom, ( ( hAPP(c_Divides_OnegateSnd, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7873), _u7874)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7873), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7874))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_divmod__nat__rel ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_divmod__nat__rel-1, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7875, _u7876), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7875), _u7876)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7875, _u7876)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_divmod__nat__rel__add1__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_divmod__nat__rel__add1__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7877, _u7878), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7879), _u7880))) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7881, _u7878), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7882), _u7883))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7878)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7877), _u7881), _u7878), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7879), _u7882)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7880), _u7883)), _u7878))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7880), _u7883), _u7878)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_pdivmod__def ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_pdivmod__def-1, axiom, ( ( c_Divides_Opdivmod(_u7884, _u7885) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7884)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7885))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7884), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7885)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_pdivmod__posDivAlg ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_pdivmod__posDivAlg-1, axiom, ( ( _u7888 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u7890, _u7888) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7890))) )).
% 19.51/19.70 cnf(fact_pdivmod__posDivAlg-2, axiom, ( ( _u7889 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u7891, _u7889) = c_Divides_OposDivAlg(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7891), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7889))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_divmod__int__code ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_divmod__int__code-1, axiom, ( ( _u7894 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u7894, _u7896) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.70 cnf(fact_divmod__int__code-2, axiom, ( ( _u7895 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7897 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u7895, _u7897) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7895)) )).
% 19.51/19.70 cnf(fact_divmod__int__code-3, axiom, ( ( _u7895 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7897 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u7895, _u7897) = hAPP(c_Product__Type_Oapsnd(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u7897))), hAPP(hAPP(hAPP(c_If(tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_fequal, c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u7895)), c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u7897))), c_Divides_Opdivmod(_u7895, _u7897)), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint))), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_fun(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_prod(tc_Int_Oint, tc_Int_Oint))), tc_fun(tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint))), tc_Int_Oint), c_COMBS(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint), tc_prod(tc_Int_Oint, tc_Int_Oint))), hAPP(hAPP(c_COMBB(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_Int_Oint, tc_fun(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_prod(tc_Int_Oint, tc_Int_Oint))), tc_Int_Oint), hAPP(c_COMBC(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_prod(tc_Int_Oint, tc_Int_Oint))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_prod(tc_Int_Oint, tc_Int_Oint))), tc_Int_Oint), c_If(tc_prod(tc_Int_Oint, tc_Int_Oint))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool), c_fequal), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_Int_Oint), c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint)), c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint))), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_fun(tc_fun(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint))), tc_Int_Oint), c_COMBB(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint)), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_Int_Oint), c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint), c_Groups_Ominus__class_Ominus(tc_Int_Oint)), c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))), c_Groups_Oone__class_Oone(tc_Int_Oint))))), hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7897))))), c_Divides_Opdivmod(_u7895, _u7897))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_divmod__nat__rel__mult1__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_divmod__nat__rel__mult1__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7898, _u7899), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7900), _u7901))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7899)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7902), _u7898), _u7899), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7902), _u7900)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7902), _u7901)), _u7899))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7902), _u7901), _u7899)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_splitI ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_splitI-1, axiom, ( ~hBOOL(hAPP(hAPP(_u7903, _u7904), _u7905)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u7906, _u7907, tc_HOL_Obool), _u7903), hAPP(hAPP(c_Product__Type_OPair(_u7906, _u7907), _u7904), _u7905))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_prod__caseI ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_prod__caseI-1, axiom, ( ~hBOOL(hAPP(hAPP(_u7908, _u7909), _u7910)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u7911, _u7912, tc_HOL_Obool), _u7908), hAPP(hAPP(c_Product__Type_OPair(_u7911, _u7912), _u7909), _u7910))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_negDivAlg_Opsimps ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_negDivAlg_Opsimps-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7913), _u7914))) | ( c_Divides_OnegDivAlg(_u7913, _u7914) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7913), _u7914))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7913), _u7914))) )).
% 19.51/19.70 cnf(fact_negDivAlg_Opsimps-2, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7913), _u7914))) | ( c_Divides_OnegDivAlg(_u7913, _u7914) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7913), _u7914))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7914), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.70 cnf(fact_negDivAlg_Opsimps-3, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7913), _u7914))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7913), _u7914))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7914), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u7913, _u7914) = hAPP(c_Divides_Oadjust(_u7914), c_Divides_OnegDivAlg(_u7913, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u7914)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_dual__max ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_dual__max-1, axiom, ( ~class_Orderings_Olinorder(_u7915) | ( c_Orderings_Oord_Omax(_u7915, hAPP(c_COMBC(_u7915, _u7915, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u7915))) = c_Orderings_Oord__class_Omin(_u7915)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_accp_Osimps ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_accp_Osimps-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u7921, _u7923), _u7925)) | ~hBOOL(hAPP(hAPP(_u7923, _u7916), _u7925)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u7921, _u7923), _u7916)) )).
% 19.51/19.70 cnf(fact_accp_Osimps-2, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u7922, _u7924), _u7926)) | hBOOL(hAPP(hAPP(_u7924, skolem149(_u7926, _u7924, _u7922)), _u7926)) )).
% 19.51/19.70 cnf(fact_accp_Osimps-3, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u7922, _u7924), _u7926)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u7922, _u7924), skolem149(_u7926, _u7924, _u7922))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_accp_Oequations ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_accp_Oequations-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u7932, _u7934), _u7936)) | ~hBOOL(hAPP(hAPP(_u7934, _u7927), _u7936)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u7932, _u7934), _u7927)) )).
% 19.51/19.70 cnf(fact_accp_Oequations-2, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u7933, _u7935), _u7937)) | hBOOL(hAPP(hAPP(_u7935, skolem150(_u7937, _u7935, _u7933)), _u7937)) )).
% 19.51/19.70 cnf(fact_accp_Oequations-3, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u7933, _u7935), _u7937)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u7933, _u7935), skolem150(_u7937, _u7935, _u7933))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_accp__downward ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_accp__downward-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u7938, _u7939), _u7940)) | ~hBOOL(hAPP(hAPP(_u7939, _u7941), _u7940)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u7938, _u7939), _u7941)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_accp__subset ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_accp__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7942, tc_fun(_u7942, tc_HOL_Obool))), _u7943), _u7944)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7942, tc_HOL_Obool)), c_Wellfounded_Oaccp(_u7942, _u7944)), c_Wellfounded_Oaccp(_u7942, _u7943))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Pair__inject ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Pair__inject-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u7945, _u7946), _u7947), _u7948) != hAPP(hAPP(c_Product__Type_OPair(_u7945, _u7946), _u7949), _u7950)) | ( _u7947 = _u7949) )).
% 19.51/19.70 cnf(fact_Pair__inject-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u7945, _u7946), _u7947), _u7948) != hAPP(hAPP(c_Product__Type_OPair(_u7945, _u7946), _u7949), _u7950)) | ( _u7948 = _u7950) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Pair__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Pair__eq-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u7957, _u7959), _u7961), _u7963) != hAPP(hAPP(c_Product__Type_OPair(_u7957, _u7959), _u7965), _u7967)) | ( _u7961 = _u7965) )).
% 19.51/19.70 cnf(fact_Pair__eq-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u7957, _u7959), _u7961), _u7963) != hAPP(hAPP(c_Product__Type_OPair(_u7957, _u7959), _u7965), _u7967)) | ( _u7963 = _u7967) )).
% 19.51/19.70 cnf(fact_Pair__eq-3, axiom, ( ( _u7962 != _u7966) | ( _u7964 != _u7968) | ( hAPP(hAPP(c_Product__Type_OPair(_u7958, _u7960), _u7962), _u7964) = hAPP(hAPP(c_Product__Type_OPair(_u7958, _u7960), _u7966), _u7968)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_split__paired__All ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_split__paired__All-1, axiom, ( ~hBOOL(hAPP(_u7978, skolem151(_u7982, _u7980, _u7978))) | hBOOL(hAPP(_u7978, hAPP(hAPP(c_Product__Type_OPair(_u7980, _u7982), _u7971), _u7970))) )).
% 19.51/19.70 cnf(fact_split__paired__All-2, axiom, ( ~hBOOL(hAPP(_u7979, hAPP(hAPP(c_Product__Type_OPair(_u7981, _u7983), skolem152(_u7983, _u7981, _u7979)), skolem153(_u7983, _u7981, _u7979)))) | hBOOL(hAPP(_u7979, _u7974)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_split__weak__cong ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_split__weak__cong-1, axiom, ( ( _u7984 != _u7985) | ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u7986, _u7987, _u7988), _u7989), _u7984) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u7986, _u7987, _u7988), _u7989), _u7985)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_prod_Osimps_I2_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_prod_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u7990, _u7991, _u7992), _u7993), hAPP(hAPP(c_Product__Type_OPair(_u7990, _u7991), _u7994), _u7995)) = hAPP(hAPP(_u7993, _u7994), _u7995)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_split__conv ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_split__conv-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u7996, _u7997, _u7998), _u7999), hAPP(hAPP(c_Product__Type_OPair(_u7996, _u7997), _u8000), _u8001)) = hAPP(hAPP(_u7999, _u8000), _u8001)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_splitD ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_splitD-1, axiom, ( hBOOL(hAPP(hAPP(_u8004, _u8005), _u8006)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8002, _u8003, tc_HOL_Obool), _u8004), hAPP(hAPP(c_Product__Type_OPair(_u8002, _u8003), _u8005), _u8006))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_apsnd__conv ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_apsnd__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u8007, _u8008, _u8009, _u8010), hAPP(hAPP(c_Product__Type_OPair(_u8009, _u8007), _u8011), _u8012)) = hAPP(hAPP(c_Product__Type_OPair(_u8009, _u8008), _u8011), hAPP(_u8010, _u8012))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_split__eta ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_split__eta-1, axiom, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u8013, _u8014, _u8015), hAPP(hAPP(c_COMBB(tc_fun(_u8014, tc_prod(_u8013, _u8014)), tc_fun(_u8014, _u8015), _u8013), hAPP(c_COMBB(tc_prod(_u8013, _u8014), _u8015, _u8014), _u8016)), c_Product__Type_OPair(_u8013, _u8014))) = _u8016) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_split__twice ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_split__twice-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8017, _u8018, _u8019), _u8020), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8021, _u8022, tc_prod(_u8017, _u8018)), _u8023), _u8024)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8021, _u8022, _u8019), hAPP(hAPP(c_COMBB(tc_fun(_u8022, tc_prod(_u8017, _u8018)), tc_fun(_u8022, _u8019), _u8021), hAPP(c_COMBB(tc_prod(_u8017, _u8018), _u8019, _u8022), hAPP(c_Product__Type_Oprod_Oprod__case(_u8017, _u8018, _u8019), _u8020))), _u8023)), _u8024)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_posDivAlg_Opsimps ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_posDivAlg_Opsimps-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8025), _u8026))) | ( c_Divides_OposDivAlg(_u8025, _u8026) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8025)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8025), _u8026)) )).
% 19.51/19.70 cnf(fact_posDivAlg_Opsimps-2, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8025), _u8026))) | ( c_Divides_OposDivAlg(_u8025, _u8026) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8025)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8026), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.70 cnf(fact_posDivAlg_Opsimps-3, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8025), _u8026))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8025), _u8026)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8026), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u8025, _u8026) = hAPP(c_Divides_Oadjust(_u8026), c_Divides_OposDivAlg(_u8025, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u8026)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_norm__frac_Opsimps ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_norm__frac_Opsimps-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Nitpick_Onorm__frac__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8027), _u8028))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8028), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u8027, _u8028) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8027), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8028))) )).
% 19.51/19.70 cnf(fact_norm__frac_Opsimps-2, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Nitpick_Onorm__frac__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8027), _u8028))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8028), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u8027, _u8028) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u8027 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.51/19.70 cnf(fact_norm__frac_Opsimps-3, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Nitpick_Onorm__frac__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8027), _u8028))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8028), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u8027, _u8028) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u8028 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.51/19.70 cnf(fact_norm__frac_Opsimps-4, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Nitpick_Onorm__frac__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8027), _u8028))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8028), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u8027 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u8028 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u8027, _u8028) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u8027), _u8028)), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_Int_Oint), c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint)), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8027))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8028)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_negDivAlg_Opinduct ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_negDivAlg_Opinduct-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8031), _u8032))) | hBOOL(hAPP(hAPP(_u8033, _u8031), _u8032)) | hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), skolem154(_u8033, _u8032, _u8031)), skolem155(_u8033, _u8032, _u8031)))) )).
% 19.51/19.70 cnf(fact_negDivAlg_Opinduct-2, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8031), _u8032))) | hBOOL(hAPP(hAPP(_u8033, _u8031), _u8032)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem154(_u8033, _u8032, _u8031)), skolem155(_u8033, _u8032, _u8031)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem155(_u8033, _u8032, _u8031)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u8033, skolem154(_u8033, _u8032, _u8031)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), skolem155(_u8033, _u8032, _u8031)))) )).
% 19.51/19.70 cnf(fact_negDivAlg_Opinduct-3, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8031), _u8032))) | hBOOL(hAPP(hAPP(_u8033, _u8031), _u8032)) | ~hBOOL(hAPP(hAPP(_u8033, skolem154(_u8033, _u8032, _u8031)), skolem155(_u8033, _u8032, _u8031))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_zmult2__lemma ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_zmult2__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8034, _u8035), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8036), _u8037))) | ( _u8035 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8038)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8034, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8035), _u8038)), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8036), _u8038)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8035), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8036, _u8038))), _u8037)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mem__splitI ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mem__splitI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8039), _u8040), hAPP(hAPP(_u8041, _u8042), _u8043))) | hBOOL(hAPP(hAPP(c_member(_u8039), _u8040), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8044, _u8045, tc_fun(_u8039, tc_HOL_Obool)), _u8041), hAPP(hAPP(c_Product__Type_OPair(_u8044, _u8045), _u8042), _u8043)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_splitD_H ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_splitD_H-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(_u8049, _u8050), _u8051), _u8052)) | ~hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8046, _u8047, tc_fun(_u8048, tc_HOL_Obool)), _u8049), hAPP(hAPP(c_Product__Type_OPair(_u8046, _u8047), _u8050), _u8051)), _u8052)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_divmod__int__rel__0 ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_divmod__int__rel__0-1, axiom, ( ( _u8053 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u8053), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_self__remainder ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_self__remainder-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8054, _u8054), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8055), _u8056))) | ( _u8054 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u8056 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_unique__quotient ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_unique__quotient-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8057, _u8058), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8059), _u8060))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8057, _u8058), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8061), _u8062))) | ( _u8058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u8059 = _u8061) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_unique__remainder ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_unique__remainder-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8063, _u8064), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8065), _u8066))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8063, _u8064), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8067), _u8068))) | ( _u8064 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u8066 = _u8068) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_divmod__int__rel__neg ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_divmod__int__rel__neg-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8069), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8070)), _u8071)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8069, _u8070), hAPP(c_Divides_OnegateSnd, _u8071))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_divmod__int__correct ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_divmod__int__correct-1, axiom, ( ( _u8072 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8073, _u8072), c_Divides_Odivmod__int(_u8073, _u8072))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_self__quotient ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_self__quotient-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8074, _u8074), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8075), _u8076))) | ( _u8074 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u8075 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_divmod__int__rel__mod ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_divmod__int__rel__mod-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8077, _u8078), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8079), _u8080))) | ( _u8078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8077, _u8078) = _u8080) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_divmod__int__rel__div ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_divmod__int__rel__div-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8081, _u8082), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8083), _u8084))) | ( _u8082 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8081), _u8082) = _u8083) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_negDivAlg__correct ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_negDivAlg__correct-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8085), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8086)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8085, _u8086), c_Divides_OnegDivAlg(_u8085, _u8086))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_divmod__int__rel__div__mod ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_divmod__int__rel__div__mod-1, axiom, ( ( _u8087 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8088, _u8087), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8088), _u8087)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8088, _u8087)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_posDivAlg__correct ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_posDivAlg__correct-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8089)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8090)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8089, _u8090), c_Divides_OposDivAlg(_u8089, _u8090))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_zadd1__lemma ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_zadd1__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8091, _u8092), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8093), _u8094))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8095, _u8092), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8096), _u8097))) | ( _u8092 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8091), _u8095), _u8092), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8093), _u8096)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8094), _u8097)), _u8092))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8094), _u8097), _u8092)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_zminus1__lemma ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_zminus1__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8098, _u8099), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8100), _u8101))) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8098), _u8099), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u8101), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8100)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8100)), c_Groups_Oone__class_Oone(tc_Int_Oint)))), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u8101), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8099), _u8101))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_divmod__nat__if ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_divmod__nat__if-1, axiom, ( ( c_Divides_Odivmod__nat(_u8106, _u8104) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8106)) | ( _u8104 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.70 cnf(fact_divmod__nat__if-2, axiom, ( ( c_Divides_Odivmod__nat(_u8106, _u8104) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8106)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8106), _u8104)) )).
% 19.51/19.70 cnf(fact_divmod__nat__if-3, axiom, ( ( _u8105 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8107), _u8105)) | ( c_Divides_Odivmod__nat(_u8107, _u8105) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_prod(tc_Nat_Onat, tc_Nat_Onat)), tc_Nat_Onat), c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat)), c_Nat_OSuc)), c_Divides_Odivmod__nat(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8107), _u8105), _u8105))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_divmod__int__relI ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_divmod__int__relI-1, axiom, ( ( _u8108 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8109), _u8110)), _u8111)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8108, _u8109), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8110), _u8111))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8109)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8109), _u8111)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8111), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.70 cnf(fact_divmod__int__relI-2, axiom, ( ( _u8108 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8109), _u8110)), _u8111)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8108, _u8109), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8110), _u8111))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8111)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8111), _u8109)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8109)) )).
% 19.51/19.70 cnf(fact_divmod__int__relI-3, axiom, ( ( _u8108 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8109), _u8110)), _u8111)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8108, _u8109), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8110), _u8111))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8111)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8111), _u8109)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8109), _u8111)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8111), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_zmult1__lemma ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_zmult1__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8112, _u8113), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8114), _u8115))) | ( _u8113 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8116), _u8112), _u8113), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8116), _u8114)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8116), _u8115)), _u8113))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8116), _u8115), _u8113)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_divmod__int__rel__def ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_divmod__int__rel__def-1, axiom, ( ( c_Divides_Odivmod__int__rel(_u8117, _u8118) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_fun(tc_Int_Oint, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_fun(tc_Int_Oint, tc_HOL_Obool)), tc_Int_Oint), c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_fun(tc_Int_Oint, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Int_Oint), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj)), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_Int_Oint), hAPP(c_COMBB(tc_Int_Oint, tc_HOL_Obool, tc_Int_Oint), hAPP(c_fequal, _u8117))), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Int_Oint)), hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8118)))))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), hAPP(c_fimplies, hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8118))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Int_Oint)), _u8118))))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), hAPP(c_fimplies, hAPP(c_fNot, hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8118)))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8118))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_posDivAlg_Opinduct ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_posDivAlg_Opinduct-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8121), _u8122))) | hBOOL(hAPP(hAPP(_u8123, _u8121), _u8122)) | hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), skolem156(_u8123, _u8122, _u8121)), skolem157(_u8123, _u8122, _u8121)))) )).
% 19.51/19.70 cnf(fact_posDivAlg_Opinduct-2, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8121), _u8122))) | hBOOL(hAPP(hAPP(_u8123, _u8121), _u8122)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem156(_u8123, _u8122, _u8121)), skolem157(_u8123, _u8122, _u8121))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem157(_u8123, _u8122, _u8121)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u8123, skolem156(_u8123, _u8122, _u8121)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), skolem157(_u8123, _u8122, _u8121)))) )).
% 19.51/19.70 cnf(fact_posDivAlg_Opinduct-3, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8121), _u8122))) | hBOOL(hAPP(hAPP(_u8123, _u8121), _u8122)) | ~hBOOL(hAPP(hAPP(_u8123, skolem156(_u8123, _u8122, _u8121)), skolem157(_u8123, _u8122, _u8121))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_nat__gcd_Opsimps ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_nat__gcd_Opsimps-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Nitpick_Onat__gcd__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8124), _u8125))) | ( _u8125 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u8124, _u8125) = _u8124) )).
% 19.51/19.70 cnf(fact_nat__gcd_Opsimps-2, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Nitpick_Onat__gcd__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8124), _u8125))) | ( _u8125 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u8124, _u8125) = c_Nitpick_Onat__gcd(_u8125, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8124, _u8125))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_transfer__int__nat__sum__prod2_I2_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_transfer__int__nat__sum__prod2_I2_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8127, tc_Int_Oint), _u8129), _u8128) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8127, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u8127), c_Int_Onat), _u8129)), _u8128))) | hBOOL(hAPP(hAPP(c_member(_u8127), skolem158(_u8129, _u8128, _u8127)), _u8128)) )).
% 19.51/19.70 cnf(fact_transfer__int__nat__sum__prod2_I2_J-2, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8127, tc_Int_Oint), _u8129), _u8128) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8127, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u8127), c_Int_Onat), _u8129)), _u8128))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u8129, skolem158(_u8129, _u8128, _u8127))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mod__pos__neg__1__number__of ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mod__pos__neg__1__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8130)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8130)) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), hAPP(c_Divides_OnegateSnd, c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8130)))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_snd__conv ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_snd__conv-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u8131, _u8132), hAPP(hAPP(c_Product__Type_OPair(_u8131, _u8132), _u8133), _u8134)) = _u8134) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_snd__eqD ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_snd__eqD-1, axiom, ( ( _u8138 = _u8139) | ( hAPP(c_Product__Type_Osnd(_u8135, _u8136), hAPP(hAPP(c_Product__Type_OPair(_u8135, _u8136), _u8137), _u8138)) != _u8139) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_snd__apsnd ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_snd__apsnd-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u8140, _u8141), hAPP(c_Product__Type_Oapsnd(_u8142, _u8141, _u8140, _u8143), _u8144)) = hAPP(_u8143, hAPP(c_Product__Type_Osnd(_u8140, _u8142), _u8144))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_apsnd__eq__conv ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_apsnd__eq__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u8151, _u8153, _u8155, _u8157), _u8159) != hAPP(c_Product__Type_Oapsnd(_u8151, _u8153, _u8155, _u8161), _u8159)) | ( hAPP(_u8157, hAPP(c_Product__Type_Osnd(_u8155, _u8151), _u8159)) = hAPP(_u8161, hAPP(c_Product__Type_Osnd(_u8155, _u8151), _u8159))) )).
% 19.51/19.70 cnf(fact_apsnd__eq__conv-2, axiom, ( ( hAPP(_u8158, hAPP(c_Product__Type_Osnd(_u8156, _u8152), _u8160)) != hAPP(_u8162, hAPP(c_Product__Type_Osnd(_u8156, _u8152), _u8160))) | ( hAPP(c_Product__Type_Oapsnd(_u8152, _u8154, _u8156, _u8158), _u8160) = hAPP(c_Product__Type_Oapsnd(_u8152, _u8154, _u8156, _u8162), _u8160)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_snd__def ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_snd__def-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u8163, _u8164), _u8165) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8163, _u8164, _u8164), hAPP(c_COMBK(tc_fun(_u8164, _u8164), _u8163), c_COMBI(_u8164))), _u8165)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mod__int__def ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mod__int__def-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8166, _u8167) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u8166, _u8167))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mod__neg__pos ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mod__neg__pos-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8168), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8169)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8168, _u8169) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u8168, _u8169))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mod__pos__pos ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mod__pos__pos-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8170)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8171)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8170, _u8171) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u8170, _u8171))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mod__pos__pos__1__number__of ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mod__pos__pos__1__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8172))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8172)) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8172)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mod__pos__neg ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mod__pos__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8173)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8174), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8173, _u8174) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), hAPP(c_Divides_OnegateSnd, c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8173), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8174))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mod__neg__neg ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mod__neg__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8175), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8176), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8175, _u8176) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), hAPP(c_Divides_OnegateSnd, c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8175), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8176))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_in__measure ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_in__measure-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u8187, _u8183)), hAPP(_u8187, _u8185))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8181, _u8181)), hAPP(hAPP(c_Product__Type_OPair(_u8181, _u8181), _u8183), _u8185)), hAPP(c_Wellfounded_Omeasure(_u8181), _u8187))) )).
% 19.51/19.70 cnf(fact_in__measure-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u8188, _u8184)), hAPP(_u8188, _u8186))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8182, _u8182)), hAPP(hAPP(c_Product__Type_OPair(_u8182, _u8182), _u8184), _u8186)), hAPP(c_Wellfounded_Omeasure(_u8182), _u8188))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_transfer__int__nat__sum__prod2_I1_J ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_transfer__int__nat__sum__prod2_I1_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8190, tc_Int_Oint), _u8192), _u8191) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8190, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u8190), c_Int_Onat), _u8192)), _u8191))) | hBOOL(hAPP(hAPP(c_member(_u8190), skolem159(_u8192, _u8191, _u8190)), _u8191)) )).
% 19.51/19.70 cnf(fact_transfer__int__nat__sum__prod2_I1_J-2, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8190, tc_Int_Oint), _u8192), _u8191) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8190, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u8190), c_Int_Onat), _u8192)), _u8191))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u8192, skolem159(_u8192, _u8191, _u8190))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_norm__frac_Opinduct ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_norm__frac_Opinduct-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Nitpick_Onorm__frac__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8195), _u8196))) | hBOOL(hAPP(hAPP(_u8197, _u8195), _u8196)) | hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Nitpick_Onorm__frac__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), skolem160(_u8197, _u8196, _u8195)), skolem161(_u8197, _u8196, _u8195)))) )).
% 19.51/19.70 cnf(fact_norm__frac_Opinduct-2, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Nitpick_Onorm__frac__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8195), _u8196))) | hBOOL(hAPP(hAPP(_u8197, _u8195), _u8196)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem161(_u8197, _u8196, _u8195)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u8197, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem160(_u8197, _u8196, _u8195))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem161(_u8197, _u8196, _u8195)))) )).
% 19.51/19.70 cnf(fact_norm__frac_Opinduct-3, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Nitpick_Onorm__frac__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8195), _u8196))) | hBOOL(hAPP(hAPP(_u8197, _u8195), _u8196)) | ~hBOOL(hAPP(hAPP(_u8197, skolem160(_u8197, _u8196, _u8195)), skolem161(_u8197, _u8196, _u8195))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_div__pos__neg__1__number__of ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_div__pos__neg__1__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8198)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8198)) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), hAPP(c_Divides_OnegateSnd, c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8198)))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_Pair__fst__snd__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_Pair__fst__snd__eq-1, axiom, ( ( _u8203 != _u8205) | ( hAPP(c_Product__Type_Ofst(_u8207, _u8209), _u8203) = hAPP(c_Product__Type_Ofst(_u8207, _u8209), _u8205)) )).
% 19.51/19.70 cnf(fact_Pair__fst__snd__eq-2, axiom, ( ( _u8203 != _u8205) | ( hAPP(c_Product__Type_Osnd(_u8207, _u8209), _u8203) = hAPP(c_Product__Type_Osnd(_u8207, _u8209), _u8205)) )).
% 19.51/19.70 cnf(fact_Pair__fst__snd__eq-3, axiom, ( ( hAPP(c_Product__Type_Ofst(_u8208, _u8210), _u8204) != hAPP(c_Product__Type_Ofst(_u8208, _u8210), _u8206)) | ( hAPP(c_Product__Type_Osnd(_u8208, _u8210), _u8204) != hAPP(c_Product__Type_Osnd(_u8208, _u8210), _u8206)) | ( _u8204 = _u8206) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_prod__eqI ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_prod__eqI-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u8211, _u8212), _u8213) != hAPP(c_Product__Type_Ofst(_u8211, _u8212), _u8214)) | ( hAPP(c_Product__Type_Osnd(_u8211, _u8212), _u8213) != hAPP(c_Product__Type_Osnd(_u8211, _u8212), _u8214)) | ( _u8213 = _u8214) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_fst__eqD ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_fst__eqD-1, axiom, ( ( _u8217 = _u8219) | ( hAPP(c_Product__Type_Ofst(_u8215, _u8216), hAPP(hAPP(c_Product__Type_OPair(_u8215, _u8216), _u8217), _u8218)) != _u8219) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_fst__conv ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_fst__conv-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u8220, _u8221), hAPP(hAPP(c_Product__Type_OPair(_u8220, _u8221), _u8222), _u8223)) = _u8222) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_fst__apsnd ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_fst__apsnd-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u8224, _u8225), hAPP(c_Product__Type_Oapsnd(_u8226, _u8225, _u8224, _u8227), _u8228)) = hAPP(c_Product__Type_Ofst(_u8224, _u8226), _u8228)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_fst__def ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_fst__def-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u8229, _u8230), _u8231) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8229, _u8230, _u8229), c_COMBK(_u8229, _u8230)), _u8231)) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_pair__collapse ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_pair__collapse-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u8232, _u8233), hAPP(c_Product__Type_Ofst(_u8232, _u8233), _u8234)), hAPP(c_Product__Type_Osnd(_u8232, _u8233), _u8234)) = _u8234) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_surjective__pairing ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_surjective__pairing-1, axiom, ( ( _u8235 = hAPP(hAPP(c_Product__Type_OPair(_u8236, _u8237), hAPP(c_Product__Type_Ofst(_u8236, _u8237), _u8235)), hAPP(c_Product__Type_Osnd(_u8236, _u8237), _u8235))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_prod__case__beta ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_prod__case__beta-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8238, _u8239, _u8240), _u8241), _u8242) = hAPP(hAPP(_u8241, hAPP(c_Product__Type_Ofst(_u8238, _u8239), _u8242)), hAPP(c_Product__Type_Osnd(_u8238, _u8239), _u8242))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_div__int__def ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_div__int__def-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8243), _u8244) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u8243, _u8244))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_mod__nat__def ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_mod__nat__def-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8245, _u8246) = hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u8245, _u8246))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_split__comp__eq ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_split__comp__eq-1, axiom, ( ( hAPP(hAPP(c_COMBS(tc_prod(_u8247, _u8248), _u8248, _u8249), hAPP(hAPP(c_COMBB(_u8250, tc_fun(_u8248, _u8249), tc_prod(_u8247, _u8248)), _u8251), hAPP(hAPP(c_COMBB(_u8247, _u8250, tc_prod(_u8247, _u8248)), _u8252), c_Product__Type_Ofst(_u8247, _u8248)))), c_Product__Type_Osnd(_u8247, _u8248)) = hAPP(c_Product__Type_Oprod_Oprod__case(_u8247, _u8248, _u8249), hAPP(hAPP(c_COMBB(_u8250, tc_fun(_u8248, _u8249), _u8247), _u8251), _u8252))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_split__beta ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_split__beta-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8253, _u8254, _u8255), _u8256), _u8257) = hAPP(hAPP(_u8256, hAPP(c_Product__Type_Ofst(_u8253, _u8254), _u8257)), hAPP(c_Product__Type_Osnd(_u8253, _u8254), _u8257))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_split__def ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_split__def-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8258, _u8259, _u8260), _u8261), _u8262) = hAPP(hAPP(_u8261, hAPP(c_Product__Type_Ofst(_u8258, _u8259), _u8262)), hAPP(c_Product__Type_Osnd(_u8258, _u8259), _u8262))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_div__neg__pos ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_div__neg__pos-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8263), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8264)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8263), _u8264) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u8263, _u8264))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_div__pos__pos ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_div__pos__pos-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8265)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8266)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8265), _u8266) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u8265, _u8266))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_div__pos__pos__1__number__of ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_div__pos__pos__1__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8267))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8267)) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8267)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_div__pos__neg ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_div__pos__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8268)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8269), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8268), _u8269) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), hAPP(c_Divides_OnegateSnd, c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8268), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8269))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_div__neg__neg ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_div__neg__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8270), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8271), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8270), _u8271) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), hAPP(c_Divides_OnegateSnd, c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8270), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8271))))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_prod__size__simp ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_prod__size__simp-1, axiom, ( ( c_Product__Type_Oprod_Oprod__size(_u8272, _u8273, _u8274, _u8275, _u8276) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u8274, hAPP(c_Product__Type_Ofst(_u8272, _u8273), _u8276))), hAPP(_u8275, hAPP(c_Product__Type_Osnd(_u8272, _u8273), _u8276)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_conjI__realizer ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_conjI__realizer-1, axiom, ( ~hBOOL(hAPP(_u8277, _u8278)) | ~hBOOL(hAPP(_u8279, _u8280)) | hBOOL(hAPP(_u8277, hAPP(c_Product__Type_Ofst(_u8281, _u8282), hAPP(hAPP(c_Product__Type_OPair(_u8281, _u8282), _u8278), _u8280)))) )).
% 19.51/19.70 cnf(fact_conjI__realizer-2, axiom, ( ~hBOOL(hAPP(_u8277, _u8278)) | ~hBOOL(hAPP(_u8279, _u8280)) | hBOOL(hAPP(_u8279, hAPP(c_Product__Type_Osnd(_u8281, _u8282), hAPP(hAPP(c_Product__Type_OPair(_u8281, _u8282), _u8278), _u8280)))) )).
% 19.51/19.70
% 19.51/19.70 % Formula: fact_exI__realizer ( axiom ) converted to clauses:
% 19.51/19.70 cnf(fact_exI__realizer-1, axiom, ( ~hBOOL(hAPP(hAPP(_u8283, _u8284), _u8285)) | hBOOL(hAPP(hAPP(_u8283, hAPP(c_Product__Type_Osnd(_u8286, _u8287), hAPP(hAPP(c_Product__Type_OPair(_u8286, _u8287), _u8285), _u8284))), hAPP(c_Product__Type_Ofst(_u8286, _u8287), hAPP(hAPP(c_Product__Type_OPair(_u8286, _u8287), _u8285), _u8284)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_nat__gcd_Opinduct ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_nat__gcd_Opinduct-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Nitpick_Onat__gcd__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8290), _u8291))) | hBOOL(hAPP(hAPP(_u8292, _u8290), _u8291)) | hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Nitpick_Onat__gcd__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), skolem162(_u8292, _u8291, _u8290)), skolem163(_u8292, _u8291, _u8290)))) )).
% 19.51/19.71 cnf(fact_nat__gcd_Opinduct-2, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Nitpick_Onat__gcd__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8290), _u8291))) | hBOOL(hAPP(hAPP(_u8292, _u8290), _u8291)) | ( skolem163(_u8292, _u8291, _u8290) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(_u8292, skolem163(_u8292, _u8291, _u8290)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, skolem162(_u8292, _u8291, _u8290), skolem163(_u8292, _u8291, _u8290)))) )).
% 19.51/19.71 cnf(fact_nat__gcd_Opinduct-3, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Nitpick_Onat__gcd__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8290), _u8291))) | hBOOL(hAPP(hAPP(_u8292, _u8290), _u8291)) | ~hBOOL(hAPP(hAPP(_u8292, skolem162(_u8292, _u8291, _u8290)), skolem163(_u8292, _u8291, _u8290))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_div__nat__def ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_div__nat__def-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u8293), _u8294) = hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u8293, _u8294))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_divmod__nat__rel__def ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_divmod__nat__rel__def-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8298, _u8300), _u8302)) | ( _u8298 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u8302)), _u8300)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8302))) )).
% 19.51/19.71 cnf(fact_divmod__nat__rel__def-2, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8298, _u8300), _u8302)) | ( _u8300 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u8302) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.71 cnf(fact_divmod__nat__rel__def-3, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8298, _u8300), _u8302)) | ( _u8300 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8300)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8302))) )).
% 19.51/19.71 cnf(fact_divmod__nat__rel__def-4, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8298, _u8300), _u8302)) | ( _u8300 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8300)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8302)), _u8300)) )).
% 19.51/19.71 cnf(fact_divmod__nat__rel__def-5, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8298, _u8300), _u8302)) | ( _u8300 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8300)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8300), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8302))) )).
% 19.51/19.71 cnf(fact_divmod__nat__rel__def-6, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8298, _u8300), _u8302)) | ( _u8300 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8300)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8302)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.71 cnf(fact_divmod__nat__rel__def-7, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8299, _u8301), _u8303)) | ( _u8299 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u8303)), _u8301)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303))) | ( _u8301 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8301)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8301), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.71 cnf(fact_divmod__nat__rel__def-8, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8299, _u8301), _u8303)) | ( _u8299 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u8303)), _u8301)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303))) | ( _u8301 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303)), _u8301)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8301)) )).
% 19.51/19.71 cnf(fact_divmod__nat__rel__def-9, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8299, _u8301), _u8303)) | ( _u8299 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u8303)), _u8301)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303))) | ( _u8301 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303)), _u8301)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8301), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.71 cnf(fact_divmod__nat__rel__def-10, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8299, _u8301), _u8303)) | ( _u8299 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u8303)), _u8301)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u8303) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u8301 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.71 cnf(fact_divmod__nat__rel__def-11, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8299, _u8301), _u8303)) | ( _u8299 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u8303)), _u8301)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u8303) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8301)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8301), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.71 cnf(fact_divmod__nat__rel__def-12, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8299, _u8301), _u8303)) | ( _u8299 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u8303)), _u8301)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u8303) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303)), _u8301)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8301)) )).
% 19.51/19.71 cnf(fact_divmod__nat__rel__def-13, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8299, _u8301), _u8303)) | ( _u8299 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u8303)), _u8301)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u8303) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303)), _u8301)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8301), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_range ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_range-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u8304)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Orange(_u8304), _u8305))), _u8304)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_arith__series__int ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_arith__series__int-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Int_Oint, tc_Nat_Onat), hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8306)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_Int_Oint), tc_Nat_Onat), c_Groups_Otimes__class_Otimes(tc_Int_Oint)), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), _u8307))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8308))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8308)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8306), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8306), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8308), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u8307))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_mlex__leq ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_mlex__leq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u8309, _u8310)), hAPP(_u8309, _u8311))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8312, _u8312)), hAPP(hAPP(c_Product__Type_OPair(_u8312, _u8312), _u8310), _u8311)), _u8313)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8312, _u8312)), hAPP(hAPP(c_Product__Type_OPair(_u8312, _u8312), _u8310), _u8311)), c_Wellfounded_Omlex__prod(_u8312, _u8309, _u8313))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_mlex__less ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_mlex__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u8314, _u8315)), hAPP(_u8314, _u8316))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8317, _u8317)), hAPP(hAPP(c_Product__Type_OPair(_u8317, _u8317), _u8315), _u8316)), c_Wellfounded_Omlex__prod(_u8317, _u8314, _u8318))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_finite__lessThan ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_finite__lessThan-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8319))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_lessThan__0 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_lessThan__0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_card__lessThan ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_card__lessThan-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8320)) = _u8320) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_lessThan__eq__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_lessThan__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u8321) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u8321), _u8322) != hAPP(c_SetInterval_Oord__class_OlessThan(_u8321), _u8323)) | ( _u8322 = _u8323) )).
% 19.51/19.71 cnf(fact_lessThan__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u8321) | ( _u8322 != _u8323) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u8321), _u8322) = hAPP(c_SetInterval_Oord__class_OlessThan(_u8321), _u8323)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_lessThan__Suc ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_lessThan__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8324)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u8324), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8324))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_lessThan__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_lessThan__iff-1, axiom, ( ~class_Orderings_Oord(_u8325) | ~hBOOL(hAPP(hAPP(c_member(_u8325), _u8326), hAPP(c_SetInterval_Oord__class_OlessThan(_u8325), _u8327))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8325), _u8326), _u8327)) )).
% 19.51/19.71 cnf(fact_lessThan__iff-2, axiom, ( ~class_Orderings_Oord(_u8325) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8325), _u8326), _u8327)) | hBOOL(hAPP(hAPP(c_member(_u8325), _u8326), hAPP(c_SetInterval_Oord__class_OlessThan(_u8325), _u8327))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_lessThan__subset__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_lessThan__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u8328) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8328, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8328), _u8329)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8328), _u8330))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8328), _u8329), _u8330)) )).
% 19.51/19.71 cnf(fact_lessThan__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u8328) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8328), _u8329), _u8330)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8328, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8328), _u8329)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8328), _u8330))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_setsum__lessThan__Suc ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_setsum__lessThan__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8331) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8331), _u8332), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8333))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8331), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8331), _u8332), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8333))), hAPP(_u8332, _u8333))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_lessThan__strict__subset__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_lessThan__strict__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u8334) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8334, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8334), _u8335)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8334), _u8336))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8334), _u8335), _u8336)) )).
% 19.51/19.71 cnf(fact_lessThan__strict__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u8334) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8334), _u8335), _u8336)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8334, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8334), _u8335)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8334), _u8336))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_single__Diff__lessThan ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_single__Diff__lessThan-1, axiom, ( ~class_Orderings_Oorder(_u8337) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8337, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8337), _u8338), c_Orderings_Obot__class_Obot(tc_fun(_u8337, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OlessThan(_u8337), _u8338)) = hAPP(hAPP(c_Set_Oinsert(_u8337), _u8338), c_Orderings_Obot__class_Obot(tc_fun(_u8337, tc_HOL_Obool)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_finite__nat__set__iff__bounded ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_finite__nat__set__iff__bounded-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8344)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8339), _u8344)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8339), skolem164(_u8344))) )).
% 19.51/19.71 cnf(fact_finite__nat__set__iff__bounded-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8345)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem165(_u8345, _u8342)), _u8345)) )).
% 19.51/19.71 cnf(fact_finite__nat__set__iff__bounded-3, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8345)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem165(_u8345, _u8342)), _u8342)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_finite__nat__set__iff__bounded__le ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_finite__nat__set__iff__bounded__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8351)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8346), _u8351)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8346), skolem166(_u8351))) )).
% 19.51/19.71 cnf(fact_finite__nat__set__iff__bounded__le-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8352)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem167(_u8352, _u8349)), _u8352)) )).
% 19.51/19.71 cnf(fact_finite__nat__set__iff__bounded__le-3, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8352)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem167(_u8352, _u8349)), _u8349)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_arith__series__general ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_arith__series__general-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u8353) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8353), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8353), c_Groups_Oone__class_Oone(_u8353)), c_Groups_Oone__class_Oone(_u8353))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8353), hAPP(hAPP(c_COMBB(_u8353, _u8353, tc_Nat_Onat), hAPP(c_Groups_Oplus__class_Oplus(_u8353), _u8354)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u8353, _u8353), hAPP(hAPP(c_COMBB(_u8353, tc_fun(_u8353, _u8353), tc_Nat_Onat), c_Groups_Otimes__class_Otimes(_u8353)), c_Nat_Osemiring__1__class_Oof__nat(_u8353))), _u8355))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8356))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8353), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8353), _u8356)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8353), _u8354), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8353), _u8354), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8353), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8353), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8356), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u8355))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_arith__series__nat ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_arith__series__nat-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8357)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Otimes__class_Otimes(tc_Nat_Onat)), _u8358))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8359))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8359), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8357), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8357), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8359), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u8358))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_nat_Osize_I4_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_nat_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8360)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u8360)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_prod_Orecs ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_prod_Orecs-1, axiom, ( ( c_Product__Type_Oprod_Oprod__rec(_u8361, _u8362, _u8363, _u8364, hAPP(hAPP(c_Product__Type_OPair(_u8361, _u8362), _u8365), _u8366)) = hAPP(hAPP(_u8364, _u8365), _u8366)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ord_OatMost__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ord_OatMost__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u8375, _u8373), _u8377)) | ~hBOOL(hAPP(hAPP(c_member(_u8371), _u8373), c_SetInterval_Oord_OatMost(_u8371, _u8375, _u8377))) )).
% 19.51/19.71 cnf(fact_ord_OatMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u8376, _u8374), _u8378)) | hBOOL(hAPP(hAPP(c_member(_u8372), _u8374), c_SetInterval_Oord_OatMost(_u8372, _u8376, _u8378))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ord_OatLeast__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ord_OatLeast__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u8387, _u8389), _u8385)) | ~hBOOL(hAPP(hAPP(c_member(_u8383), _u8385), c_SetInterval_Oord_OatLeast(_u8383, _u8387, _u8389))) )).
% 19.51/19.71 cnf(fact_ord_OatLeast__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u8388, _u8390), _u8386)) | hBOOL(hAPP(hAPP(c_member(_u8384), _u8386), c_SetInterval_Oord_OatLeast(_u8384, _u8388, _u8390))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_nat__size ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_nat__size-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u8391) = _u8391) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_infinite__UNIV__nat ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_infinite__UNIV__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_nat_Osize_I3_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_nat_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ord_OgreaterThanAtMost__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ord_OgreaterThanAtMost__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8398), _u8400), c_SetInterval_Oord_OgreaterThanAtMost(_u8398, _u8402, _u8404, _u8406, _u8408))) | hBOOL(hAPP(hAPP(_u8404, _u8406), _u8400)) )).
% 19.51/19.71 cnf(fact_ord_OgreaterThanAtMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8398), _u8400), c_SetInterval_Oord_OgreaterThanAtMost(_u8398, _u8402, _u8404, _u8406, _u8408))) | hBOOL(hAPP(hAPP(_u8402, _u8400), _u8408)) )).
% 19.51/19.71 cnf(fact_ord_OgreaterThanAtMost__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u8405, _u8407), _u8401)) | ~hBOOL(hAPP(hAPP(_u8403, _u8401), _u8409)) | hBOOL(hAPP(hAPP(c_member(_u8399), _u8401), c_SetInterval_Oord_OgreaterThanAtMost(_u8399, _u8403, _u8405, _u8407, _u8409))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ord_OatLeastLessThan__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ord_OatLeastLessThan__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8416), _u8418), c_SetInterval_Oord_OatLeastLessThan(_u8416, _u8420, _u8422, _u8424, _u8426))) | hBOOL(hAPP(hAPP(_u8420, _u8424), _u8418)) )).
% 19.51/19.71 cnf(fact_ord_OatLeastLessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8416), _u8418), c_SetInterval_Oord_OatLeastLessThan(_u8416, _u8420, _u8422, _u8424, _u8426))) | hBOOL(hAPP(hAPP(_u8422, _u8418), _u8426)) )).
% 19.51/19.71 cnf(fact_ord_OatLeastLessThan__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u8421, _u8425), _u8419)) | ~hBOOL(hAPP(hAPP(_u8423, _u8419), _u8427)) | hBOOL(hAPP(hAPP(c_member(_u8417), _u8419), c_SetInterval_Oord_OatLeastLessThan(_u8417, _u8421, _u8423, _u8425, _u8427))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ord_OgreaterThanLessThan__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ord_OgreaterThanLessThan__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8433), _u8435), c_SetInterval_Oord_OgreaterThanLessThan(_u8433, _u8437, _u8439, _u8441))) | hBOOL(hAPP(hAPP(_u8437, _u8439), _u8435)) )).
% 19.51/19.71 cnf(fact_ord_OgreaterThanLessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8433), _u8435), c_SetInterval_Oord_OgreaterThanLessThan(_u8433, _u8437, _u8439, _u8441))) | hBOOL(hAPP(hAPP(_u8437, _u8435), _u8441)) )).
% 19.51/19.71 cnf(fact_ord_OgreaterThanLessThan__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u8438, _u8440), _u8436)) | ~hBOOL(hAPP(hAPP(_u8438, _u8436), _u8442)) | hBOOL(hAPP(hAPP(c_member(_u8434), _u8436), c_SetInterval_Oord_OgreaterThanLessThan(_u8434, _u8438, _u8440, _u8442))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ord_OatLeastAtMost__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ord_OatLeastAtMost__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8448), _u8450), c_SetInterval_Oord_OatLeastAtMost(_u8448, _u8452, _u8454, _u8456))) | hBOOL(hAPP(hAPP(_u8452, _u8454), _u8450)) )).
% 19.51/19.71 cnf(fact_ord_OatLeastAtMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8448), _u8450), c_SetInterval_Oord_OatLeastAtMost(_u8448, _u8452, _u8454, _u8456))) | hBOOL(hAPP(hAPP(_u8452, _u8450), _u8456)) )).
% 19.51/19.71 cnf(fact_ord_OatLeastAtMost__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u8453, _u8455), _u8451)) | ~hBOOL(hAPP(hAPP(_u8453, _u8451), _u8457)) | hBOOL(hAPP(hAPP(c_member(_u8449), _u8451), c_SetInterval_Oord_OatLeastAtMost(_u8449, _u8453, _u8455, _u8457))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ord_OlessThan__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ord_OlessThan__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u8466, _u8464), _u8468)) | ~hBOOL(hAPP(hAPP(c_member(_u8462), _u8464), c_SetInterval_Oord_OlessThan(_u8462, _u8466, _u8468))) )).
% 19.51/19.71 cnf(fact_ord_OlessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u8467, _u8465), _u8469)) | hBOOL(hAPP(hAPP(c_member(_u8463), _u8465), c_SetInterval_Oord_OlessThan(_u8463, _u8467, _u8469))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ord_OgreaterThan__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ord_OgreaterThan__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u8478, _u8480), _u8476)) | ~hBOOL(hAPP(hAPP(c_member(_u8474), _u8476), c_SetInterval_Oord_OgreaterThan(_u8474, _u8478, _u8480))) )).
% 19.51/19.71 cnf(fact_ord_OgreaterThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u8479, _u8481), _u8477)) | hBOOL(hAPP(hAPP(c_member(_u8475), _u8477), c_SetInterval_Oord_OgreaterThan(_u8475, _u8479, _u8481))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_in__lex__prod ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_in__lex__prod-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u8490, _u8492), tc_prod(_u8490, _u8492))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u8490, _u8492), tc_prod(_u8490, _u8492)), hAPP(hAPP(c_Product__Type_OPair(_u8490, _u8492), _u8494), _u8496)), hAPP(hAPP(c_Product__Type_OPair(_u8490, _u8492), _u8498), _u8500))), c_Wellfounded_Olex__prod(_u8490, _u8492, _u8502, _u8504))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8490, _u8490)), hAPP(hAPP(c_Product__Type_OPair(_u8490, _u8490), _u8494), _u8498)), _u8502)) | ( _u8494 = _u8498) )).
% 19.51/19.71 cnf(fact_in__lex__prod-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u8490, _u8492), tc_prod(_u8490, _u8492))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u8490, _u8492), tc_prod(_u8490, _u8492)), hAPP(hAPP(c_Product__Type_OPair(_u8490, _u8492), _u8494), _u8496)), hAPP(hAPP(c_Product__Type_OPair(_u8490, _u8492), _u8498), _u8500))), c_Wellfounded_Olex__prod(_u8490, _u8492, _u8502, _u8504))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8490, _u8490)), hAPP(hAPP(c_Product__Type_OPair(_u8490, _u8490), _u8494), _u8498)), _u8502)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8492, _u8492)), hAPP(hAPP(c_Product__Type_OPair(_u8492, _u8492), _u8496), _u8500)), _u8504)) )).
% 19.51/19.71 cnf(fact_in__lex__prod-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u8491, _u8493), tc_prod(_u8491, _u8493))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u8491, _u8493), tc_prod(_u8491, _u8493)), hAPP(hAPP(c_Product__Type_OPair(_u8491, _u8493), _u8495), _u8497)), hAPP(hAPP(c_Product__Type_OPair(_u8491, _u8493), _u8499), _u8501))), c_Wellfounded_Olex__prod(_u8491, _u8493, _u8503, _u8505))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8491, _u8491)), hAPP(hAPP(c_Product__Type_OPair(_u8491, _u8491), _u8495), _u8499)), _u8503)) )).
% 19.51/19.71 cnf(fact_in__lex__prod-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u8491, _u8493), tc_prod(_u8491, _u8493))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u8491, _u8493), tc_prod(_u8491, _u8493)), hAPP(hAPP(c_Product__Type_OPair(_u8491, _u8493), _u8495), _u8497)), hAPP(hAPP(c_Product__Type_OPair(_u8491, _u8493), _u8499), _u8501))), c_Wellfounded_Olex__prod(_u8491, _u8493, _u8503, _u8505))) | ( _u8495 != _u8499) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8493, _u8493)), hAPP(hAPP(c_Product__Type_OPair(_u8493, _u8493), _u8497), _u8501)), _u8505)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_in__finite__psubset ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_in__finite__psubset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8509, tc_HOL_Obool), tc_fun(_u8509, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8509, tc_HOL_Obool), tc_fun(_u8509, tc_HOL_Obool)), _u8511), _u8513)), c_Wellfounded_Ofinite__psubset(_u8509))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8509, tc_HOL_Obool)), _u8511), _u8513)) )).
% 19.51/19.71 cnf(fact_in__finite__psubset-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8509, tc_HOL_Obool), tc_fun(_u8509, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8509, tc_HOL_Obool), tc_fun(_u8509, tc_HOL_Obool)), _u8511), _u8513)), c_Wellfounded_Ofinite__psubset(_u8509))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8509), _u8513)) )).
% 19.51/19.71 cnf(fact_in__finite__psubset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8510, tc_HOL_Obool)), _u8512), _u8514)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8510), _u8514)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8510, tc_HOL_Obool), tc_fun(_u8510, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8510, tc_HOL_Obool), tc_fun(_u8510, tc_HOL_Obool)), _u8512), _u8514)), c_Wellfounded_Ofinite__psubset(_u8510))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_same__fstI ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_same__fstI-1, axiom, ( ~hBOOL(hAPP(_u8515, _u8516)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8517, _u8517)), hAPP(hAPP(c_Product__Type_OPair(_u8517, _u8517), _u8518), _u8519)), hAPP(_u8520, _u8516))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u8521, _u8517), tc_prod(_u8521, _u8517))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u8521, _u8517), tc_prod(_u8521, _u8517)), hAPP(hAPP(c_Product__Type_OPair(_u8521, _u8517), _u8516), _u8518)), hAPP(hAPP(c_Product__Type_OPair(_u8521, _u8517), _u8516), _u8519))), c_Recdef_Osame__fst(_u8521, _u8517, _u8515, _u8520))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_setsum__nonneg__leq__bound ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_setsum__nonneg__leq__bound-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8523) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8524), _u8525)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8524, _u8523), _u8526), _u8525) != _u8527) | ~hBOOL(hAPP(hAPP(c_member(_u8524), _u8528), _u8525)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8523), hAPP(_u8526, _u8528)), _u8527)) | hBOOL(hAPP(hAPP(c_member(_u8524), skolem168(_u8528, _u8527, _u8526, _u8525, _u8524, _u8523)), _u8525)) )).
% 19.51/19.71 cnf(fact_setsum__nonneg__leq__bound-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8523) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8524), _u8525)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8524, _u8523), _u8526), _u8525) != _u8527) | ~hBOOL(hAPP(hAPP(c_member(_u8524), _u8528), _u8525)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8523), hAPP(_u8526, _u8528)), _u8527)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8523), c_Groups_Ozero__class_Ozero(_u8523)), hAPP(_u8526, skolem168(_u8528, _u8527, _u8526, _u8525, _u8524, _u8523)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_setsum__nonneg__0 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_setsum__nonneg__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8530) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8531), _u8532)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8531, _u8530), _u8533), _u8532) != c_Groups_Ozero__class_Ozero(_u8530)) | ~hBOOL(hAPP(hAPP(c_member(_u8531), _u8534), _u8532)) | ( hAPP(_u8533, _u8534) = c_Groups_Ozero__class_Ozero(_u8530)) | hBOOL(hAPP(hAPP(c_member(_u8531), skolem169(_u8534, _u8533, _u8532, _u8531, _u8530)), _u8532)) )).
% 19.51/19.71 cnf(fact_setsum__nonneg__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8530) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8531), _u8532)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8531, _u8530), _u8533), _u8532) != c_Groups_Ozero__class_Ozero(_u8530)) | ~hBOOL(hAPP(hAPP(c_member(_u8531), _u8534), _u8532)) | ( hAPP(_u8533, _u8534) = c_Groups_Ozero__class_Ozero(_u8530)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8530), c_Groups_Ozero__class_Ozero(_u8530)), hAPP(_u8533, skolem169(_u8534, _u8533, _u8532, _u8531, _u8530)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_max__Suc__number__of ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_max__Suc__number__of-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8535)), hAPP(c_Nat_OSuc, _u8536)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u8535))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_Int_Oint), c_If(tc_Nat_Onat)), c_Nat__Numeral_Oneg)), hAPP(c_Nat_OSuc, _u8536))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Int_Oint), c_Nat_OSuc), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_Int_Oint), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Int_Onat)), _u8536))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_Ofun__left__comm__idem__sup ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_Ofun__left__comm__idem__sup-1, axiom, ( ~class_Orderings_Olinorder(_u8537) | c_Finite__Set_Ofun__left__comm__idem(_u8537, _u8537, c_Orderings_Oord__class_Omax(_u8537)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_le__max__iff__disj ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_le__max__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u8538) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8538), _u8539), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8538), _u8540), _u8541))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8538), _u8539), _u8540)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8538), _u8539), _u8541)) )).
% 19.51/19.71 cnf(fact_le__max__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u8538) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8538), _u8539), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8538), _u8540), _u8541))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8538), _u8539), _u8540)) )).
% 19.51/19.71 cnf(fact_le__max__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u8538) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8538), _u8539), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8538), _u8540), _u8541))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8538), _u8539), _u8541)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_Ole__supE ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_Ole__supE-1, axiom, ( ~class_Orderings_Olinorder(_u8542) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8542), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8542), _u8543), _u8544)), _u8545)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8542), _u8543), _u8545)) )).
% 19.51/19.71 cnf(fact_min__max_Ole__supE-2, axiom, ( ~class_Orderings_Olinorder(_u8542) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8542), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8542), _u8543), _u8544)), _u8545)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8542), _u8544), _u8545)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_Osup__mono ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_Osup__mono-1, axiom, ( ~class_Orderings_Olinorder(_u8546) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8546), _u8547), _u8548)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8546), _u8549), _u8550)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8546), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8546), _u8547), _u8549)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8546), _u8548), _u8550))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_Osup__least ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_Osup__least-1, axiom, ( ~class_Orderings_Olinorder(_u8551) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8551), _u8552), _u8553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8551), _u8554), _u8553)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8551), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8551), _u8552), _u8554)), _u8553)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_Ole__supI ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_Ole__supI-1, axiom, ( ~class_Orderings_Olinorder(_u8555) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8555), _u8556), _u8557)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8555), _u8558), _u8557)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8555), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8555), _u8556), _u8558)), _u8557)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_Osup__absorb1 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_Osup__absorb1-1, axiom, ( ~class_Orderings_Olinorder(_u8559) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8559), _u8560), _u8561)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8559), _u8561), _u8560) = _u8561) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_Osup__absorb2 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_Osup__absorb2-1, axiom, ( ~class_Orderings_Olinorder(_u8562) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8562), _u8563), _u8564)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8562), _u8563), _u8564) = _u8564) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_Ole__supI2 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_Ole__supI2-1, axiom, ( ~class_Orderings_Olinorder(_u8565) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8565), _u8566), _u8567)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8565), _u8566), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8565), _u8568), _u8567))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_Ole__supI1 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_Ole__supI1-1, axiom, ( ~class_Orderings_Olinorder(_u8569) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8569), _u8570), _u8571)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8569), _u8570), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8569), _u8571), _u8572))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_Ole__sup__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_Ole__sup__iff-1, axiom, ( ~class_Orderings_Olinorder(_u8573) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8573), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8573), _u8574), _u8575)), _u8576)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8573), _u8574), _u8576)) )).
% 19.51/19.71 cnf(fact_min__max_Ole__sup__iff-2, axiom, ( ~class_Orderings_Olinorder(_u8573) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8573), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8573), _u8574), _u8575)), _u8576)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8573), _u8575), _u8576)) )).
% 19.51/19.71 cnf(fact_min__max_Ole__sup__iff-3, axiom, ( ~class_Orderings_Olinorder(_u8573) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8573), _u8574), _u8576)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8573), _u8575), _u8576)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8573), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8573), _u8574), _u8575)), _u8576)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_Ole__iff__sup ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_Ole__iff__sup-1, axiom, ( ~class_Orderings_Olinorder(_u8577) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8577), _u8578), _u8579)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8577), _u8578), _u8579) = _u8579) )).
% 19.51/19.71 cnf(fact_min__max_Ole__iff__sup-2, axiom, ( ~class_Orderings_Olinorder(_u8577) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8577), _u8578), _u8579) != _u8579) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8577), _u8578), _u8579)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_le__maxI2 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_le__maxI2-1, axiom, ( ~class_Orderings_Olinorder(_u8580) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8580), _u8581), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8580), _u8582), _u8581))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_le__maxI1 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_le__maxI1-1, axiom, ( ~class_Orderings_Olinorder(_u8583) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8583), _u8584), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8583), _u8584), _u8585))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_sup__max ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_sup__max-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u8586) | ~class_Orderings_Olinorder(_u8586) | ( c_Lattices_Osemilattice__sup__class_Osup(_u8586) = c_Orderings_Oord__class_Omax(_u8586)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_sup__nat__def ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_sup__nat__def-1, axiom, ( ( c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Max_Oidem ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Max_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u8587) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8587), _u8588), _u8588) = _u8588) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_Osup__assoc ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_Osup__assoc-1, axiom, ( ~class_Orderings_Olinorder(_u8589) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8589), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8589), _u8590), _u8591)), _u8592) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8589), _u8590), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8589), _u8591), _u8592))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_Osup_Oassoc ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_Osup_Oassoc-1, axiom, ( ~class_Orderings_Olinorder(_u8593) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8593), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8593), _u8594), _u8595)), _u8596) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8593), _u8594), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8593), _u8595), _u8596))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_Osup__left__commute ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_Osup__left__commute-1, axiom, ( ~class_Orderings_Olinorder(_u8597) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8597), _u8598), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8597), _u8599), _u8600)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8597), _u8599), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8597), _u8598), _u8600))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_Osup_Oleft__commute ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_Osup_Oleft__commute-1, axiom, ( ~class_Orderings_Olinorder(_u8601) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8601), _u8602), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8601), _u8603), _u8604)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8601), _u8603), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8601), _u8602), _u8604))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_Osup__left__idem ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_Osup__left__idem-1, axiom, ( ~class_Orderings_Olinorder(_u8605) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8605), _u8606), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8605), _u8606), _u8607)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8605), _u8606), _u8607)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_Osup_Oleft__idem ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_Osup_Oleft__idem-1, axiom, ( ~class_Orderings_Olinorder(_u8608) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8608), _u8609), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8608), _u8609), _u8610)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8608), _u8609), _u8610)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_Osup__commute ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_Osup__commute-1, axiom, ( ~class_Orderings_Olinorder(_u8611) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8611), _u8612), _u8613) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8611), _u8613), _u8612)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_Osup_Ocommute ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_Osup_Ocommute-1, axiom, ( ~class_Orderings_Olinorder(_u8614) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8614), _u8615), _u8616) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8614), _u8616), _u8615)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_Osup_Oidem ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_Osup_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u8617) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8617), _u8618), _u8618) = _u8618) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_Osup__inf__absorb ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_Osup__inf__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u8619) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8619), _u8620), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8619), _u8620), _u8621)) = _u8620) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_Oinf__sup__absorb ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_Oinf__sup__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u8622) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8622), _u8623), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8622), _u8623), _u8624)) = _u8623) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_Osup__inf__distrib1 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_Osup__inf__distrib1-1, axiom, ( ~class_Orderings_Olinorder(_u8625) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8625), _u8626), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8625), _u8627), _u8628)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8625), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8625), _u8626), _u8627)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8625), _u8626), _u8628))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_Oinf__sup__distrib1 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_Oinf__sup__distrib1-1, axiom, ( ~class_Orderings_Olinorder(_u8629) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8629), _u8630), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8629), _u8631), _u8632)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8629), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8629), _u8630), _u8631)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8629), _u8630), _u8632))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_Osup__inf__distrib2 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_Osup__inf__distrib2-1, axiom, ( ~class_Orderings_Olinorder(_u8633) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8633), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8633), _u8634), _u8635)), _u8636) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8633), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8633), _u8634), _u8636)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8633), _u8635), _u8636))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_Oinf__sup__distrib2 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_Oinf__sup__distrib2-1, axiom, ( ~class_Orderings_Olinorder(_u8637) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8637), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8637), _u8638), _u8639)), _u8640) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8637), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8637), _u8638), _u8640)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8637), _u8639), _u8640))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_max__Suc__Suc ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_max__Suc__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8641)), hAPP(c_Nat_OSuc, _u8642)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u8641), _u8642))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_max__0R ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_max__0R-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u8643), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u8643) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_max__0L ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_max__0L-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8644) = _u8644) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_max__diff__distrib__left ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_max__diff__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8645) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8645), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8645), _u8646), _u8647)), _u8648) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8645), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8645), _u8646), _u8648)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8645), _u8647), _u8648))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_max__add__distrib__left ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_max__add__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u8649) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8649), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8649), _u8650), _u8651)), _u8652) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8649), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8649), _u8650), _u8652)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8649), _u8651), _u8652))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_max__less__iff__conj ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_max__less__iff__conj-1, axiom, ( ~class_Orderings_Olinorder(_u8653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8653), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8653), _u8654), _u8655)), _u8656)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8653), _u8654), _u8656)) )).
% 19.51/19.71 cnf(fact_max__less__iff__conj-2, axiom, ( ~class_Orderings_Olinorder(_u8653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8653), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8653), _u8654), _u8655)), _u8656)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8653), _u8655), _u8656)) )).
% 19.51/19.71 cnf(fact_max__less__iff__conj-3, axiom, ( ~class_Orderings_Olinorder(_u8653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8653), _u8654), _u8656)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8653), _u8655), _u8656)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8653), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8653), _u8654), _u8655)), _u8656)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_less__max__iff__disj ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_less__max__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u8657) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8657), _u8658), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8657), _u8659), _u8660))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8657), _u8658), _u8659)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8657), _u8658), _u8660)) )).
% 19.51/19.71 cnf(fact_less__max__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u8657) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8657), _u8658), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8657), _u8659), _u8660))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8657), _u8658), _u8659)) )).
% 19.51/19.71 cnf(fact_less__max__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u8657) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8657), _u8658), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8657), _u8659), _u8660))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8657), _u8658), _u8660)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_Oless__supI2 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_Oless__supI2-1, axiom, ( ~class_Orderings_Olinorder(_u8661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8661), _u8662), _u8663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8661), _u8662), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8661), _u8664), _u8663))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_Oless__supI1 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_Oless__supI1-1, axiom, ( ~class_Orderings_Olinorder(_u8665) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8665), _u8666), _u8667)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8665), _u8666), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8665), _u8667), _u8668))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_max__number__of ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_max__number__of-1, axiom, ( ~class_Int_Onumber(_u8669) | ~class_Orderings_Oord(_u8669) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8669), hAPP(c_Int_Onumber__class_Onumber__of(_u8669), _u8670)), hAPP(c_Int_Onumber__class_Onumber__of(_u8669), _u8671))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8669), hAPP(c_Int_Onumber__class_Onumber__of(_u8669), _u8670)), hAPP(c_Int_Onumber__class_Onumber__of(_u8669), _u8671)) = hAPP(c_Int_Onumber__class_Onumber__of(_u8669), _u8671)) )).
% 19.51/19.71 cnf(fact_max__number__of-2, axiom, ( ~class_Int_Onumber(_u8669) | ~class_Orderings_Oord(_u8669) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8669), hAPP(c_Int_Onumber__class_Onumber__of(_u8669), _u8670)), hAPP(c_Int_Onumber__class_Onumber__of(_u8669), _u8671))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8669), hAPP(c_Int_Onumber__class_Onumber__of(_u8669), _u8670)), hAPP(c_Int_Onumber__class_Onumber__of(_u8669), _u8671)) = hAPP(c_Int_Onumber__class_Onumber__of(_u8669), _u8670)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_Odistrib__sup__le ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_Odistrib__sup__le-1, axiom, ( ~class_Orderings_Olinorder(_u8672) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8672), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8672), _u8673), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8672), _u8674), _u8675))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8672), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8672), _u8673), _u8674)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8672), _u8673), _u8675)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_Odistrib__inf__le ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_Odistrib__inf__le-1, axiom, ( ~class_Orderings_Olinorder(_u8676) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8676), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8676), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8676), _u8677), _u8678)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8676), _u8677), _u8679))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8676), _u8677), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8676), _u8678), _u8679)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_minus__min__eq__max ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_minus__min__eq__max-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u8680) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8680), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8680), _u8681), _u8682)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8680), hAPP(c_Groups_Ouminus__class_Ouminus(_u8680), _u8681)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8680), _u8682))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_minus__max__eq__min ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_minus__max__eq__min-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u8683) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8683), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8683), _u8684), _u8685)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8683), hAPP(c_Groups_Ouminus__class_Ouminus(_u8683), _u8684)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8683), _u8685))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_nat__minus__add__max ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_nat__minus__add__max-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8686), _u8687)), _u8687) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u8686), _u8687)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_max__Suc1 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_max__Suc1-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8688)), _u8689) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8688), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u8688)), _u8689)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_max__Suc2 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_max__Suc2-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u8690), hAPP(c_Nat_OSuc, _u8691)) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8691), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), _u8691)), _u8690)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_max__ord__max ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_max__ord__max-1, axiom, ( ~class_Orderings_Oord(_u8692) | ( c_Orderings_Oord__class_Omax(_u8692) = c_Orderings_Oord_Omax(_u8692, c_Orderings_Oord__class_Oless__eq(_u8692))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_Ofold__sup__insert ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_Ofold__sup__insert-1, axiom, ( ~class_Orderings_Olinorder(_u8693) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8693), _u8694)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u8693, _u8693, c_Orderings_Oord__class_Omax(_u8693)), _u8695), hAPP(hAPP(c_Set_Oinsert(_u8693), _u8696), _u8694)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8693), _u8696), hAPP(hAPP(c_Finite__Set_Ofold(_u8693, _u8693, c_Orderings_Oord__class_Omax(_u8693)), _u8695), _u8694))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_dual__min ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_dual__min-1, axiom, ( ~class_Orderings_Olinorder(_u8697) | ( c_Orderings_Oord_Omin(_u8697, hAPP(c_COMBC(_u8697, _u8697, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u8697))) = c_Orderings_Oord__class_Omax(_u8697)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_Osup__le__fold__sup ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_Osup__le__fold__sup-1, axiom, ( ~class_Orderings_Olinorder(_u8698) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8698), _u8699)) | ~hBOOL(hAPP(hAPP(c_member(_u8698), _u8700), _u8699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8698), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8698), _u8700), _u8701)), hAPP(hAPP(c_Finite__Set_Ofold(_u8698, _u8698, c_Orderings_Oord__class_Omax(_u8698)), _u8701), _u8699))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_Osup__Inf__absorb ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_Osup__Inf__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u8702) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8702), _u8703)) | ~hBOOL(hAPP(hAPP(c_member(_u8702), _u8704), _u8703)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8702), _u8704), c_Big__Operators_Olattice_OInf__fin(_u8702, c_Orderings_Oord__class_Omin(_u8702), _u8703)) = _u8704) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_max__number__of__Suc ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_max__number__of__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8705)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8706)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u8706))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_Int_Oint), c_If(tc_Nat_Onat)), c_Nat__Numeral_Oneg)), hAPP(c_Nat_OSuc, _u8705))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Int_Oint), c_Nat_OSuc), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Int_Oint), hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u8705)), c_Int_Onat))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Max_Oremove ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Max_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u8707) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8707), _u8708)) | ~hBOOL(hAPP(hAPP(c_member(_u8707), _u8709), _u8708)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8707, tc_HOL_Obool)), _u8708), hAPP(hAPP(c_Set_Oinsert(_u8707), _u8709), c_Orderings_Obot__class_Obot(tc_fun(_u8707, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8707, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8707, _u8708) = _u8709) )).
% 19.51/19.71 cnf(fact_Max_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u8707) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8707), _u8708)) | ~hBOOL(hAPP(hAPP(c_member(_u8707), _u8709), _u8708)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8707, tc_HOL_Obool)), _u8708), hAPP(hAPP(c_Set_Oinsert(_u8707), _u8709), c_Orderings_Obot__class_Obot(tc_fun(_u8707, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8707, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8707, _u8708) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8707), _u8709), c_Big__Operators_Olinorder__class_OMax(_u8707, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8707, tc_HOL_Obool)), _u8708), hAPP(hAPP(c_Set_Oinsert(_u8707), _u8709), c_Orderings_Obot__class_Obot(tc_fun(_u8707, tc_HOL_Obool))))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_OInf__le__Sup ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_OInf__le__Sup-1, axiom, ( ~class_Orderings_Olinorder(_u8710) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8710), _u8711)) | ( _u8711 = c_Orderings_Obot__class_Obot(tc_fun(_u8710, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8710), c_Big__Operators_Olattice_OInf__fin(_u8710, c_Orderings_Oord__class_Omin(_u8710), _u8711)), c_Big__Operators_Olattice_OSup__fin(_u8710, c_Orderings_Oord__class_Omax(_u8710), _u8711))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_OSup__fin_Oremove ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_OSup__fin_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u8712) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8712), _u8713)) | ~hBOOL(hAPP(hAPP(c_member(_u8712), _u8714), _u8713)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8712, tc_HOL_Obool)), _u8713), hAPP(hAPP(c_Set_Oinsert(_u8712), _u8714), c_Orderings_Obot__class_Obot(tc_fun(_u8712, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8712, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u8712, c_Orderings_Oord__class_Omax(_u8712), _u8713) = _u8714) )).
% 19.51/19.71 cnf(fact_min__max_OSup__fin_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u8712) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8712), _u8713)) | ~hBOOL(hAPP(hAPP(c_member(_u8712), _u8714), _u8713)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8712, tc_HOL_Obool)), _u8713), hAPP(hAPP(c_Set_Oinsert(_u8712), _u8714), c_Orderings_Obot__class_Obot(tc_fun(_u8712, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8712, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u8712, c_Orderings_Oord__class_Omax(_u8712), _u8713) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8712), _u8714), c_Big__Operators_Olattice_OSup__fin(_u8712, c_Orderings_Oord__class_Omax(_u8712), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8712, tc_HOL_Obool)), _u8713), hAPP(hAPP(c_Set_Oinsert(_u8712), _u8714), c_Orderings_Obot__class_Obot(tc_fun(_u8712, tc_HOL_Obool))))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_sum__diff__distrib ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_sum__diff__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u8716, skolem170(_u8718, _u8717, _u8716))), hAPP(_u8717, skolem170(_u8718, _u8717, _u8716)))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u8717), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8718))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u8716), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8718))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)), _u8717)), _u8716)), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8718))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Max_Osingleton ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Max_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u8719) | ( c_Big__Operators_Olinorder__class_OMax(_u8719, hAPP(hAPP(c_Set_Oinsert(_u8719), _u8720), c_Orderings_Obot__class_Obot(tc_fun(_u8719, tc_HOL_Obool)))) = _u8720) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_OSup__fin_Oin__idem ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_OSup__fin_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u8721) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8721), _u8722)) | ~hBOOL(hAPP(hAPP(c_member(_u8721), _u8723), _u8722)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8721), _u8723), c_Big__Operators_Olattice_OSup__fin(_u8721, c_Orderings_Oord__class_Omax(_u8721), _u8722)) = c_Big__Operators_Olattice_OSup__fin(_u8721, c_Orderings_Oord__class_Omax(_u8721), _u8722)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Max__ge ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Max__ge-1, axiom, ( ~class_Orderings_Olinorder(_u8724) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8724), _u8725)) | ~hBOOL(hAPP(hAPP(c_member(_u8724), _u8726), _u8725)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8724), _u8726), c_Big__Operators_Olinorder__class_OMax(_u8724, _u8725))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_OSup__fin_Osingleton ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_OSup__fin_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u8727) | ( c_Big__Operators_Olattice_OSup__fin(_u8727, c_Orderings_Oord__class_Omax(_u8727), hAPP(hAPP(c_Set_Oinsert(_u8727), _u8728), c_Orderings_Obot__class_Obot(tc_fun(_u8727, tc_HOL_Obool)))) = _u8728) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Max__in ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Max__in-1, axiom, ( ~class_Orderings_Olinorder(_u8729) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8729), _u8730)) | ( _u8730 = c_Orderings_Obot__class_Obot(tc_fun(_u8729, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u8729), c_Big__Operators_Olinorder__class_OMax(_u8729, _u8730)), _u8730)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Max_Oin__idem ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Max_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u8731) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8731), _u8732)) | ~hBOOL(hAPP(hAPP(c_member(_u8731), _u8733), _u8732)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8731), _u8733), c_Big__Operators_Olinorder__class_OMax(_u8731, _u8732)) = c_Big__Operators_Olinorder__class_OMax(_u8731, _u8732)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_OSup__fin_OF__eq ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_OSup__fin_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u8734) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8734), _u8735)) | ( c_Big__Operators_Olattice_OSup__fin(_u8734, c_Orderings_Oord__class_Omax(_u8734), _u8735) = hAPP(c_Finite__Set_Ofold1(_u8734, c_Orderings_Oord__class_Omax(_u8734)), _u8735)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Max_OF__eq ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Max_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u8736) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8736), _u8737)) | ( c_Big__Operators_Olinorder__class_OMax(_u8736, _u8737) = hAPP(c_Finite__Set_Ofold1(_u8736, c_Orderings_Oord__class_Omax(_u8736)), _u8737)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_OSup__fin_Oinsert__idem ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_OSup__fin_Oinsert__idem-1, axiom, ( ~class_Orderings_Olinorder(_u8738) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8738), _u8739)) | ( _u8739 = c_Orderings_Obot__class_Obot(tc_fun(_u8738, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u8738, c_Orderings_Oord__class_Omax(_u8738), hAPP(hAPP(c_Set_Oinsert(_u8738), _u8740), _u8739)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8738), _u8740), c_Big__Operators_Olattice_OSup__fin(_u8738, c_Orderings_Oord__class_Omax(_u8738), _u8739))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_OSup__fin_Osubset__idem ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_OSup__fin_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u8741) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8741), _u8742)) | ( _u8743 = c_Orderings_Obot__class_Obot(tc_fun(_u8741, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8741, tc_HOL_Obool)), _u8743), _u8742)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8741), c_Big__Operators_Olattice_OSup__fin(_u8741, c_Orderings_Oord__class_Omax(_u8741), _u8743)), c_Big__Operators_Olattice_OSup__fin(_u8741, c_Orderings_Oord__class_Omax(_u8741), _u8742)) = c_Big__Operators_Olattice_OSup__fin(_u8741, c_Orderings_Oord__class_Omax(_u8741), _u8742)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_Oinf__Sup__absorb ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_Oinf__Sup__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u8744) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8744), _u8745)) | ~hBOOL(hAPP(hAPP(c_member(_u8744), _u8746), _u8745)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8744), _u8746), c_Big__Operators_Olattice_OSup__fin(_u8744, c_Orderings_Oord__class_Omax(_u8744), _u8745)) = _u8746) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_OSup__fin_Ounion__idem ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_OSup__fin_Ounion__idem-1, axiom, ( ~class_Orderings_Olinorder(_u8747) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8747), _u8748)) | ( _u8748 = c_Orderings_Obot__class_Obot(tc_fun(_u8747, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8747), _u8749)) | ( _u8749 = c_Orderings_Obot__class_Obot(tc_fun(_u8747, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u8747, c_Orderings_Oord__class_Omax(_u8747), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8747, tc_HOL_Obool)), _u8748), _u8749)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8747), c_Big__Operators_Olattice_OSup__fin(_u8747, c_Orderings_Oord__class_Omax(_u8747), _u8748)), c_Big__Operators_Olattice_OSup__fin(_u8747, c_Orderings_Oord__class_Omax(_u8747), _u8749))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Max__mono ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Max__mono-1, axiom, ( ~class_Orderings_Olinorder(_u8750) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8750, tc_HOL_Obool)), _u8751), _u8752)) | ( _u8751 = c_Orderings_Obot__class_Obot(tc_fun(_u8750, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8750), _u8752)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8750), c_Big__Operators_Olinorder__class_OMax(_u8750, _u8751)), c_Big__Operators_Olinorder__class_OMax(_u8750, _u8752))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_OSup__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_OSup__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u8753) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8753), _u8754)) | ( c_Big__Operators_Olattice_OSup__fin(_u8753, c_Orderings_Oord__class_Omax(_u8753), hAPP(hAPP(c_Set_Oinsert(_u8753), _u8755), _u8754)) = hAPP(hAPP(c_Finite__Set_Ofold(_u8753, _u8753, c_Orderings_Oord__class_Omax(_u8753)), _u8755), _u8754)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Max__insert ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Max__insert-1, axiom, ( ~class_Orderings_Olinorder(_u8756) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8756), _u8757)) | ( _u8757 = c_Orderings_Obot__class_Obot(tc_fun(_u8756, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8756, hAPP(hAPP(c_Set_Oinsert(_u8756), _u8758), _u8757)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8756), _u8758), c_Big__Operators_Olinorder__class_OMax(_u8756, _u8757))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Max_Osubset__idem ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Max_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u8759) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8759), _u8760)) | ( _u8761 = c_Orderings_Obot__class_Obot(tc_fun(_u8759, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8759, tc_HOL_Obool)), _u8761), _u8760)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8759), c_Big__Operators_Olinorder__class_OMax(_u8759, _u8761)), c_Big__Operators_Olinorder__class_OMax(_u8759, _u8760)) = c_Big__Operators_Olinorder__class_OMax(_u8759, _u8760)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Max__Un ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Max__Un-1, axiom, ( ~class_Orderings_Olinorder(_u8762) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8762), _u8763)) | ( _u8763 = c_Orderings_Obot__class_Obot(tc_fun(_u8762, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8762), _u8764)) | ( _u8764 = c_Orderings_Obot__class_Obot(tc_fun(_u8762, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8762, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8762, tc_HOL_Obool)), _u8763), _u8764)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8762), c_Big__Operators_Olinorder__class_OMax(_u8762, _u8763)), c_Big__Operators_Olinorder__class_OMax(_u8762, _u8764))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Max_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Max_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u8765) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8765), _u8766)) | ( c_Big__Operators_Olinorder__class_OMax(_u8765, hAPP(hAPP(c_Set_Oinsert(_u8765), _u8767), _u8766)) = hAPP(hAPP(c_Finite__Set_Ofold(_u8765, _u8765, c_Orderings_Oord__class_Omax(_u8765)), _u8767), _u8766)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_OSup__fin_Oinsert ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_OSup__fin_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u8768) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8768), _u8769)) | hBOOL(hAPP(hAPP(c_member(_u8768), _u8770), _u8769)) | ( _u8769 = c_Orderings_Obot__class_Obot(tc_fun(_u8768, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u8768, c_Orderings_Oord__class_Omax(_u8768), hAPP(hAPP(c_Set_Oinsert(_u8768), _u8770), _u8769)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8768), _u8770), c_Big__Operators_Olattice_OSup__fin(_u8768, c_Orderings_Oord__class_Omax(_u8768), _u8769))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_OSup__fin_Oinsert__remove ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_OSup__fin_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u8771) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8771), _u8772)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8771, tc_HOL_Obool)), _u8772), hAPP(hAPP(c_Set_Oinsert(_u8771), _u8773), c_Orderings_Obot__class_Obot(tc_fun(_u8771, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8771, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u8771, c_Orderings_Oord__class_Omax(_u8771), hAPP(hAPP(c_Set_Oinsert(_u8771), _u8773), _u8772)) = _u8773) )).
% 19.51/19.71 cnf(fact_min__max_OSup__fin_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u8771) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8771), _u8772)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8771, tc_HOL_Obool)), _u8772), hAPP(hAPP(c_Set_Oinsert(_u8771), _u8773), c_Orderings_Obot__class_Obot(tc_fun(_u8771, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8771, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u8771, c_Orderings_Oord__class_Omax(_u8771), hAPP(hAPP(c_Set_Oinsert(_u8771), _u8773), _u8772)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8771), _u8773), c_Big__Operators_Olattice_OSup__fin(_u8771, c_Orderings_Oord__class_Omax(_u8771), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8771, tc_HOL_Obool)), _u8772), hAPP(hAPP(c_Set_Oinsert(_u8771), _u8773), c_Orderings_Obot__class_Obot(tc_fun(_u8771, tc_HOL_Obool))))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_OSup__fin_Ounion__inter ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_OSup__fin_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u8774) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8774), _u8775)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8774), _u8776)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8774, tc_HOL_Obool)), _u8775), _u8776) = c_Orderings_Obot__class_Obot(tc_fun(_u8774, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8774), c_Big__Operators_Olattice_OSup__fin(_u8774, c_Orderings_Oord__class_Omax(_u8774), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8774, tc_HOL_Obool)), _u8775), _u8776))), c_Big__Operators_Olattice_OSup__fin(_u8774, c_Orderings_Oord__class_Omax(_u8774), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8774, tc_HOL_Obool)), _u8775), _u8776))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8774), c_Big__Operators_Olattice_OSup__fin(_u8774, c_Orderings_Oord__class_Omax(_u8774), _u8775)), c_Big__Operators_Olattice_OSup__fin(_u8774, c_Orderings_Oord__class_Omax(_u8774), _u8776))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_OSup__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_OSup__fin_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u8777) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8777), _u8778)) | ( _u8778 = c_Orderings_Obot__class_Obot(tc_fun(_u8777, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8777), _u8779)) | ( _u8779 = c_Orderings_Obot__class_Obot(tc_fun(_u8777, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8777, tc_HOL_Obool)), _u8778), _u8779) != c_Orderings_Obot__class_Obot(tc_fun(_u8777, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u8777, c_Orderings_Oord__class_Omax(_u8777), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8777, tc_HOL_Obool)), _u8778), _u8779)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8777), c_Big__Operators_Olattice_OSup__fin(_u8777, c_Orderings_Oord__class_Omax(_u8777), _u8778)), c_Big__Operators_Olattice_OSup__fin(_u8777, c_Orderings_Oord__class_Omax(_u8777), _u8779))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_OSup__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_OSup__fin_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u8780) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8780), _u8781)) | hBOOL(hAPP(hAPP(c_member(_u8780), _u8782), _u8781)) | ( c_Big__Operators_Olattice_OSup__fin(_u8780, c_Orderings_Oord__class_Omax(_u8780), hAPP(hAPP(c_Set_Oinsert(_u8780), _u8782), _u8781)) = hAPP(hAPP(c_Finite__Set_Ofold(_u8780, _u8780, c_Orderings_Oord__class_Omax(_u8780)), _u8782), _u8781)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Max_Oinsert ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Max_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u8783) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8783), _u8784)) | hBOOL(hAPP(hAPP(c_member(_u8783), _u8785), _u8784)) | ( _u8784 = c_Orderings_Obot__class_Obot(tc_fun(_u8783, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8783, hAPP(hAPP(c_Set_Oinsert(_u8783), _u8785), _u8784)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8783), _u8785), c_Big__Operators_Olinorder__class_OMax(_u8783, _u8784))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Max_Oinsert__remove ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Max_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u8786) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8786), _u8787)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8786, tc_HOL_Obool)), _u8787), hAPP(hAPP(c_Set_Oinsert(_u8786), _u8788), c_Orderings_Obot__class_Obot(tc_fun(_u8786, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8786, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8786, hAPP(hAPP(c_Set_Oinsert(_u8786), _u8788), _u8787)) = _u8788) )).
% 19.51/19.71 cnf(fact_Max_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u8786) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8786), _u8787)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8786, tc_HOL_Obool)), _u8787), hAPP(hAPP(c_Set_Oinsert(_u8786), _u8788), c_Orderings_Obot__class_Obot(tc_fun(_u8786, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8786, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8786, hAPP(hAPP(c_Set_Oinsert(_u8786), _u8788), _u8787)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8786), _u8788), c_Big__Operators_Olinorder__class_OMax(_u8786, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8786, tc_HOL_Obool)), _u8787), hAPP(hAPP(c_Set_Oinsert(_u8786), _u8788), c_Orderings_Obot__class_Obot(tc_fun(_u8786, tc_HOL_Obool))))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Max_Ounion__inter ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Max_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u8789) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8789), _u8790)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8789), _u8791)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8789, tc_HOL_Obool)), _u8790), _u8791) = c_Orderings_Obot__class_Obot(tc_fun(_u8789, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8789), c_Big__Operators_Olinorder__class_OMax(_u8789, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8789, tc_HOL_Obool)), _u8790), _u8791))), c_Big__Operators_Olinorder__class_OMax(_u8789, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8789, tc_HOL_Obool)), _u8790), _u8791))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8789), c_Big__Operators_Olinorder__class_OMax(_u8789, _u8790)), c_Big__Operators_Olinorder__class_OMax(_u8789, _u8791))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Max_Ounion__disjoint ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Max_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u8792) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8792), _u8793)) | ( _u8793 = c_Orderings_Obot__class_Obot(tc_fun(_u8792, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8792), _u8794)) | ( _u8794 = c_Orderings_Obot__class_Obot(tc_fun(_u8792, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8792, tc_HOL_Obool)), _u8793), _u8794) != c_Orderings_Obot__class_Obot(tc_fun(_u8792, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8792, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8792, tc_HOL_Obool)), _u8793), _u8794)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8792), c_Big__Operators_Olinorder__class_OMax(_u8792, _u8793)), c_Big__Operators_Olinorder__class_OMax(_u8792, _u8794))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Max_Oeq__fold_H ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Max_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u8795) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8795), _u8796)) | hBOOL(hAPP(hAPP(c_member(_u8795), _u8797), _u8796)) | ( c_Big__Operators_Olinorder__class_OMax(_u8795, hAPP(hAPP(c_Set_Oinsert(_u8795), _u8797), _u8796)) = hAPP(hAPP(c_Finite__Set_Ofold(_u8795, _u8795, c_Orderings_Oord__class_Omax(_u8795)), _u8797), _u8796)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_OSup__fin_Oclosed ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_OSup__fin_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u8800) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8800), _u8801)) | ( _u8801 = c_Orderings_Obot__class_Obot(tc_fun(_u8800, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u8800), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8800), skolem171(_u8801, _u8800)), skolem172(_u8801, _u8800))), hAPP(hAPP(c_Set_Oinsert(_u8800), skolem171(_u8801, _u8800)), hAPP(hAPP(c_Set_Oinsert(_u8800), skolem172(_u8801, _u8800)), c_Orderings_Obot__class_Obot(tc_fun(_u8800, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u8800), c_Big__Operators_Olattice_OSup__fin(_u8800, c_Orderings_Oord__class_Omax(_u8800), _u8801)), _u8801)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Max_Oclosed ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Max_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u8804) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8804), _u8805)) | ( _u8805 = c_Orderings_Obot__class_Obot(tc_fun(_u8804, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u8804), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8804), skolem173(_u8805, _u8804)), skolem174(_u8805, _u8804))), hAPP(hAPP(c_Set_Oinsert(_u8804), skolem173(_u8805, _u8804)), hAPP(hAPP(c_Set_Oinsert(_u8804), skolem174(_u8805, _u8804)), c_Orderings_Obot__class_Obot(tc_fun(_u8804, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u8804), c_Big__Operators_Olinorder__class_OMax(_u8804, _u8805)), _u8805)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_apfst__apsnd ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_apfst__apsnd-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u8806, _u8807, _u8808, _u8809), hAPP(c_Product__Type_Oapsnd(_u8810, _u8808, _u8806, _u8811), _u8812)) = hAPP(hAPP(c_Product__Type_OPair(_u8807, _u8808), hAPP(_u8809, hAPP(c_Product__Type_Ofst(_u8806, _u8810), _u8812))), hAPP(_u8811, hAPP(c_Product__Type_Osnd(_u8806, _u8810), _u8812)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_apsnd__apfst ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_apsnd__apfst-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u8813, _u8814, _u8815, _u8816), hAPP(c_Product__Type_Oapfst(_u8817, _u8815, _u8813, _u8818), _u8819)) = hAPP(hAPP(c_Product__Type_OPair(_u8815, _u8814), hAPP(_u8818, hAPP(c_Product__Type_Ofst(_u8817, _u8813), _u8819))), hAPP(_u8816, hAPP(c_Product__Type_Osnd(_u8817, _u8813), _u8819)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_apfst__conv ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_apfst__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u8820, _u8821, _u8822, _u8823), hAPP(hAPP(c_Product__Type_OPair(_u8820, _u8822), _u8824), _u8825)) = hAPP(hAPP(c_Product__Type_OPair(_u8821, _u8822), hAPP(_u8823, _u8824)), _u8825)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_apfst__eq__conv ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_apfst__eq__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u8832, _u8834, _u8836, _u8838), _u8840) != hAPP(c_Product__Type_Oapfst(_u8832, _u8834, _u8836, _u8842), _u8840)) | ( hAPP(_u8838, hAPP(c_Product__Type_Ofst(_u8832, _u8836), _u8840)) = hAPP(_u8842, hAPP(c_Product__Type_Ofst(_u8832, _u8836), _u8840))) )).
% 19.51/19.71 cnf(fact_apfst__eq__conv-2, axiom, ( ( hAPP(_u8839, hAPP(c_Product__Type_Ofst(_u8833, _u8837), _u8841)) != hAPP(_u8843, hAPP(c_Product__Type_Ofst(_u8833, _u8837), _u8841))) | ( hAPP(c_Product__Type_Oapfst(_u8833, _u8835, _u8837, _u8839), _u8841) = hAPP(c_Product__Type_Oapfst(_u8833, _u8835, _u8837, _u8843), _u8841)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_fst__apfst ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_fst__apfst-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u8844, _u8845), hAPP(c_Product__Type_Oapfst(_u8846, _u8844, _u8845, _u8847), _u8848)) = hAPP(_u8847, hAPP(c_Product__Type_Ofst(_u8846, _u8845), _u8848))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_snd__apfst ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_snd__apfst-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u8849, _u8850), hAPP(c_Product__Type_Oapfst(_u8851, _u8849, _u8850, _u8852), _u8853)) = hAPP(c_Product__Type_Osnd(_u8851, _u8850), _u8853)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_apsnd__apfst__commute ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_apsnd__apfst__commute-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u8854, _u8855, _u8856, _u8857), hAPP(c_Product__Type_Oapfst(_u8858, _u8856, _u8854, _u8859), _u8860)) = hAPP(c_Product__Type_Oapfst(_u8858, _u8856, _u8855, _u8859), hAPP(c_Product__Type_Oapsnd(_u8854, _u8855, _u8858, _u8857), _u8860))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_pair__lessI2 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_pair__lessI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8861), _u8862)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8863), _u8864)) | 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)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8861), _u8863)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8862), _u8864))), c_FunDef_Opair__less)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_setsum__natinterval__difff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_setsum__natinterval__difff-1, axiom, ( ~class_Groups_Oab__group__add(_u8865) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8866), _u8867)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8865), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u8865, _u8865), hAPP(hAPP(c_COMBB(_u8865, tc_fun(_u8865, _u8865), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u8865)), _u8868)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u8865, tc_Nat_Onat), _u8868), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Groups_Oone__class_Oone(tc_Nat_Onat))))), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8866, _u8867)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8865), hAPP(_u8868, _u8866)), hAPP(_u8868, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8867), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 19.51/19.71 cnf(fact_setsum__natinterval__difff-2, axiom, ( ~class_Groups_Oab__group__add(_u8865) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8866), _u8867)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8865), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u8865, _u8865), hAPP(hAPP(c_COMBB(_u8865, tc_fun(_u8865, _u8865), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u8865)), _u8868)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u8865, tc_Nat_Onat), _u8868), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Groups_Oone__class_Oone(tc_Nat_Onat))))), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8866, _u8867)) = c_Groups_Ozero__class_Ozero(_u8865)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_gauss__sum ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_gauss__sum-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u8869) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8869), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8869), c_Groups_Oone__class_Oone(_u8869)), c_Groups_Oone__class_Oone(_u8869))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8869), c_Nat_Osemiring__1__class_Oof__nat(_u8869)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u8870))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8869), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8869), _u8870)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8869), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8869), _u8870)), c_Groups_Oone__class_Oone(_u8869)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INFI__fold__inf ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INFI__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8871) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8872), _u8873)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8872, _u8871), _u8873), _u8874) = hAPP(hAPP(c_Finite__Set_Ofold(_u8872, _u8871, hAPP(hAPP(c_COMBB(_u8871, tc_fun(_u8871, _u8871), _u8872), c_Lattices_Osemilattice__inf__class_Oinf(_u8871)), _u8874)), c_Orderings_Otop__class_Otop(_u8871)), _u8873)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INT__D ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INT__D-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8875), _u8876), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8877, tc_fun(_u8875, tc_HOL_Obool)), _u8878), _u8879))) | ~hBOOL(hAPP(hAPP(c_member(_u8877), _u8880), _u8878)) | hBOOL(hAPP(hAPP(c_member(_u8875), _u8876), hAPP(_u8879, _u8880))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INT__E ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INT__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8881), _u8882), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8883, tc_fun(_u8881, tc_HOL_Obool)), _u8884), _u8885))) | hBOOL(hAPP(hAPP(c_member(_u8881), _u8882), hAPP(_u8885, _u8886))) | ~hBOOL(hAPP(hAPP(c_member(_u8883), _u8886), _u8884)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INF1__D ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INF1__D-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8887, tc_fun(_u8888, tc_HOL_Obool)), _u8889), _u8890), _u8891)) | ~hBOOL(hAPP(hAPP(c_member(_u8887), _u8892), _u8889)) | hBOOL(hAPP(hAPP(_u8890, _u8892), _u8891)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INF1__E ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INF1__E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8893, tc_fun(_u8894, tc_HOL_Obool)), _u8895), _u8896), _u8897)) | hBOOL(hAPP(hAPP(_u8896, _u8898), _u8897)) | ~hBOOL(hAPP(hAPP(c_member(_u8893), _u8898), _u8895)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INF2__D ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INF2__D-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8899, tc_fun(_u8900, tc_fun(_u8901, tc_HOL_Obool))), _u8902), _u8903), _u8904), _u8905)) | ~hBOOL(hAPP(hAPP(c_member(_u8899), _u8906), _u8902)) | hBOOL(hAPP(hAPP(hAPP(_u8903, _u8906), _u8904), _u8905)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INF2__E ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INF2__E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8907, tc_fun(_u8908, tc_fun(_u8909, tc_HOL_Obool))), _u8910), _u8911), _u8912), _u8913)) | hBOOL(hAPP(hAPP(hAPP(_u8911, _u8914), _u8912), _u8913)) | ~hBOOL(hAPP(hAPP(c_member(_u8907), _u8914), _u8910)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_finite__INT ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_finite__INT-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8916), _u8915), _u8917)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8918), hAPP(_u8919, _u8915))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8918), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8916, tc_fun(_u8918, tc_HOL_Obool)), _u8917), _u8919))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_finite__atLeastAtMost ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_finite__atLeastAtMost-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8920, _u8921))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Inter__def ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Inter__def-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u8922, tc_HOL_Obool), _u8923) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u8922, tc_HOL_Obool), tc_fun(_u8922, tc_HOL_Obool)), _u8923), c_COMBI(tc_fun(_u8922, tc_HOL_Obool)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INTER__UNIV__conv_I2_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INTER__UNIV__conv_I2_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8930, tc_fun(_u8932, tc_HOL_Obool)), _u8934), _u8936) != c_Orderings_Otop__class_Otop(tc_fun(_u8932, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u8930), _u8924), _u8934)) | ( hAPP(_u8936, _u8924) = c_Orderings_Otop__class_Otop(tc_fun(_u8932, tc_HOL_Obool))) )).
% 19.51/19.71 cnf(fact_INTER__UNIV__conv_I2_J-2, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8931, tc_fun(_u8933, tc_HOL_Obool)), _u8935), _u8937) = c_Orderings_Otop__class_Otop(tc_fun(_u8933, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u8931), skolem175(_u8937, _u8935, _u8933, _u8931)), _u8935)) )).
% 19.51/19.71 cnf(fact_INTER__UNIV__conv_I2_J-3, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8931, tc_fun(_u8933, tc_HOL_Obool)), _u8935), _u8937) = c_Orderings_Otop__class_Otop(tc_fun(_u8933, tc_HOL_Obool))) | ( hAPP(_u8937, skolem175(_u8937, _u8935, _u8933, _u8931)) != c_Orderings_Otop__class_Otop(tc_fun(_u8933, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INTER__UNIV__conv_I1_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INTER__UNIV__conv_I1_J-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u8944, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8946, tc_fun(_u8944, tc_HOL_Obool)), _u8948), _u8950)) | ~hBOOL(hAPP(hAPP(c_member(_u8946), _u8938), _u8948)) | ( hAPP(_u8950, _u8938) = c_Orderings_Otop__class_Otop(tc_fun(_u8944, tc_HOL_Obool))) )).
% 19.51/19.71 cnf(fact_INTER__UNIV__conv_I1_J-2, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u8945, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8947, tc_fun(_u8945, tc_HOL_Obool)), _u8949), _u8951)) | hBOOL(hAPP(hAPP(c_member(_u8947), skolem176(_u8951, _u8949, _u8947, _u8945)), _u8949)) )).
% 19.51/19.71 cnf(fact_INTER__UNIV__conv_I1_J-3, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u8945, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8947, tc_fun(_u8945, tc_HOL_Obool)), _u8949), _u8951)) | ( hAPP(_u8951, skolem176(_u8951, _u8949, _u8947, _u8945)) != c_Orderings_Otop__class_Otop(tc_fun(_u8945, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INT__subset__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INT__subset__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8959, tc_HOL_Obool)), _u8961), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8963, tc_fun(_u8959, tc_HOL_Obool)), _u8965), _u8967))) | ~hBOOL(hAPP(hAPP(c_member(_u8963), _u8952), _u8965)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8959, tc_HOL_Obool)), _u8961), hAPP(_u8967, _u8952))) )).
% 19.51/19.71 cnf(fact_INT__subset__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8960, tc_HOL_Obool)), _u8962), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8964, tc_fun(_u8960, tc_HOL_Obool)), _u8966), _u8968))) | hBOOL(hAPP(hAPP(c_member(_u8964), skolem177(_u8968, _u8966, _u8964, _u8962, _u8960)), _u8966)) )).
% 19.51/19.71 cnf(fact_INT__subset__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8960, tc_HOL_Obool)), _u8962), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8964, tc_fun(_u8960, tc_HOL_Obool)), _u8966), _u8968))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8960, tc_HOL_Obool)), _u8962), hAPP(_u8968, skolem177(_u8968, _u8966, _u8964, _u8962, _u8960)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INT__Int__distrib ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INT__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8969, tc_fun(_u8970, tc_HOL_Obool)), _u8971), hAPP(hAPP(c_COMBS(_u8969, tc_fun(_u8970, tc_HOL_Obool), tc_fun(_u8970, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8970, tc_HOL_Obool), tc_fun(tc_fun(_u8970, tc_HOL_Obool), tc_fun(_u8970, tc_HOL_Obool)), _u8969), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8970, tc_HOL_Obool))), _u8972)), _u8973)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8970, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8969, tc_fun(_u8970, tc_HOL_Obool)), _u8971), _u8972)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8969, tc_fun(_u8970, tc_HOL_Obool)), _u8971), _u8973))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INF__commute ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INF__commute-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8974) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8975, _u8974), _u8976), hAPP(hAPP(c_COMBB(tc_fun(_u8977, _u8974), _u8974, _u8975), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8977, _u8974), _u8978)), _u8979)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8977, _u8974), _u8978), hAPP(hAPP(c_COMBB(tc_fun(_u8975, _u8974), _u8974, _u8977), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8975, _u8974), _u8976)), hAPP(c_COMBC(_u8975, _u8977, _u8974), _u8979)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INFI__apply ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INFI__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8980) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8981, tc_fun(_u8982, _u8980)), _u8983), _u8984), _u8985) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8981, _u8980), _u8983), hAPP(hAPP(c_COMBC(_u8981, _u8982, _u8980), _u8984), _u8985))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INT__simps_I8_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INT__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8986, tc_fun(_u8987, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u8986, tc_HOL_Obool), _u8988)), _u8989) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u8986, tc_HOL_Obool), tc_fun(_u8987, tc_HOL_Obool)), _u8988), hAPP(hAPP(c_COMBC(tc_fun(_u8986, tc_HOL_Obool), tc_fun(_u8986, tc_fun(_u8987, tc_HOL_Obool)), tc_fun(_u8987, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8986, tc_fun(_u8987, tc_HOL_Obool))), _u8989))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INT__extend__simps_I8_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INT__extend__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u8990, tc_HOL_Obool), tc_fun(_u8991, tc_HOL_Obool)), _u8992), hAPP(hAPP(c_COMBC(tc_fun(_u8990, tc_HOL_Obool), tc_fun(_u8990, tc_fun(_u8991, tc_HOL_Obool)), tc_fun(_u8991, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8990, tc_fun(_u8991, tc_HOL_Obool))), _u8993)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8990, tc_fun(_u8991, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u8990, tc_HOL_Obool), _u8992)), _u8993)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Pow__INT__eq ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Pow__INT__eq-1, axiom, ( ( hAPP(c_Set_OPow(_u8994), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8995, tc_fun(_u8994, tc_HOL_Obool)), _u8996), _u8997)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8995, tc_fun(tc_fun(_u8994, tc_HOL_Obool), tc_HOL_Obool)), _u8996), hAPP(hAPP(c_COMBB(tc_fun(_u8994, tc_HOL_Obool), tc_fun(tc_fun(_u8994, tc_HOL_Obool), tc_HOL_Obool), _u8995), c_Set_OPow(_u8994)), _u8997))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INT__extend__simps_I5_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INT__extend__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u8998), _u8999), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9000, tc_fun(_u8998, tc_HOL_Obool)), _u9001), _u9002)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9000, tc_fun(_u8998, tc_HOL_Obool)), _u9001), hAPP(hAPP(c_COMBB(tc_fun(_u8998, tc_HOL_Obool), tc_fun(_u8998, tc_HOL_Obool), _u9000), hAPP(c_Set_Oinsert(_u8998), _u8999)), _u9002))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INT__simps_I5_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INT__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9003, tc_fun(_u9004, tc_HOL_Obool)), _u9005), hAPP(hAPP(c_COMBB(tc_fun(_u9004, tc_HOL_Obool), tc_fun(_u9004, tc_HOL_Obool), _u9003), hAPP(c_Set_Oinsert(_u9004), _u9006)), _u9007)) = hAPP(hAPP(c_Set_Oinsert(_u9004), _u9006), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9003, tc_fun(_u9004, tc_HOL_Obool)), _u9005), _u9007))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INT__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INT__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9015), _u9017), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9019, tc_fun(_u9015, tc_HOL_Obool)), _u9021), _u9023))) | ~hBOOL(hAPP(hAPP(c_member(_u9019), _u9008), _u9021)) | hBOOL(hAPP(hAPP(c_member(_u9015), _u9017), hAPP(_u9023, _u9008))) )).
% 19.51/19.71 cnf(fact_INT__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9016), _u9018), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9020, tc_fun(_u9016, tc_HOL_Obool)), _u9022), _u9024))) | hBOOL(hAPP(hAPP(c_member(_u9020), skolem178(_u9024, _u9022, _u9020, _u9018, _u9016)), _u9022)) )).
% 19.51/19.71 cnf(fact_INT__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u9016), _u9018), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9020, tc_fun(_u9016, tc_HOL_Obool)), _u9022), _u9024))) | ~hBOOL(hAPP(hAPP(c_member(_u9016), _u9018), hAPP(_u9024, skolem178(_u9024, _u9022, _u9020, _u9018, _u9016)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INT__simps_I7_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INT__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9025, tc_fun(_u9026, tc_HOL_Obool)), _u9027), hAPP(hAPP(c_COMBB(tc_fun(_u9026, tc_HOL_Obool), tc_fun(_u9026, tc_HOL_Obool), _u9025), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9026, tc_HOL_Obool)), _u9028)), _u9029)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9026, tc_HOL_Obool)), _u9028), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9025, tc_fun(_u9026, tc_HOL_Obool)), _u9027), _u9029))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INT__simps_I6_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INT__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9030, tc_fun(_u9031, tc_HOL_Obool)), _u9032), hAPP(hAPP(c_COMBC(_u9030, tc_fun(_u9031, tc_HOL_Obool), tc_fun(_u9031, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9031, tc_HOL_Obool), tc_fun(tc_fun(_u9031, tc_HOL_Obool), tc_fun(_u9031, tc_HOL_Obool)), _u9030), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9031, tc_HOL_Obool))), _u9033)), _u9034)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9031, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9030, tc_fun(_u9031, tc_HOL_Obool)), _u9032), _u9033)), _u9034)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INT__extend__simps_I7_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INT__extend__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9035, tc_HOL_Obool)), _u9036), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9037, tc_fun(_u9035, tc_HOL_Obool)), _u9038), _u9039)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9037, tc_fun(_u9035, tc_HOL_Obool)), _u9038), hAPP(hAPP(c_COMBB(tc_fun(_u9035, tc_HOL_Obool), tc_fun(_u9035, tc_HOL_Obool), _u9037), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9035, tc_HOL_Obool)), _u9036)), _u9039))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Un__INT__distrib ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Un__INT__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9040, tc_HOL_Obool)), _u9041), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9042, tc_fun(_u9040, tc_HOL_Obool)), _u9043), _u9044)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9042, tc_fun(_u9040, tc_HOL_Obool)), _u9043), hAPP(hAPP(c_COMBB(tc_fun(_u9040, tc_HOL_Obool), tc_fun(_u9040, tc_HOL_Obool), _u9042), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9040, tc_HOL_Obool)), _u9041)), _u9044))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INT__extend__simps_I6_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INT__extend__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9045, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9046, tc_fun(_u9045, tc_HOL_Obool)), _u9047), _u9048)), _u9049) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9046, tc_fun(_u9045, tc_HOL_Obool)), _u9047), hAPP(hAPP(c_COMBC(_u9046, tc_fun(_u9045, tc_HOL_Obool), tc_fun(_u9045, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9045, tc_HOL_Obool), tc_fun(tc_fun(_u9045, tc_HOL_Obool), tc_fun(_u9045, tc_HOL_Obool)), _u9046), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9045, tc_HOL_Obool))), _u9048)), _u9049))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Un__INT__distrib2 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Un__INT__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9050, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9051, tc_fun(_u9050, tc_HOL_Obool)), _u9052), _u9053)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9054, tc_fun(_u9050, tc_HOL_Obool)), _u9055), _u9056)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9051, tc_fun(_u9050, tc_HOL_Obool)), _u9052), hAPP(hAPP(c_COMBB(tc_fun(_u9054, tc_fun(_u9050, tc_HOL_Obool)), tc_fun(_u9050, tc_HOL_Obool), _u9051), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9054, tc_fun(_u9050, tc_HOL_Obool)), _u9055)), hAPP(hAPP(c_COMBC(_u9051, tc_fun(_u9054, tc_fun(_u9050, tc_HOL_Obool)), tc_fun(_u9054, tc_fun(_u9050, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9050, tc_HOL_Obool), tc_fun(_u9050, tc_HOL_Obool)), tc_fun(tc_fun(_u9054, tc_fun(_u9050, tc_HOL_Obool)), tc_fun(_u9054, tc_fun(_u9050, tc_HOL_Obool))), _u9051), c_COMBB(tc_fun(_u9050, tc_HOL_Obool), tc_fun(_u9050, tc_HOL_Obool), _u9054)), hAPP(hAPP(c_COMBB(tc_fun(_u9050, tc_HOL_Obool), tc_fun(tc_fun(_u9050, tc_HOL_Obool), tc_fun(_u9050, tc_HOL_Obool)), _u9051), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9050, tc_HOL_Obool))), _u9053))), _u9056)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INF__INT__eq2 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INF__INT__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9063, tc_fun(_u9065, tc_fun(_u9067, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u9063, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u9065, _u9067), tc_HOL_Obool), tc_fun(_u9065, tc_fun(_u9067, tc_HOL_Obool)), _u9063), hAPP(c_COMBC(_u9065, tc_fun(tc_prod(_u9065, _u9067), tc_HOL_Obool), tc_fun(_u9067, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9067, tc_fun(tc_fun(tc_prod(_u9065, _u9067), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9065, _u9067), tc_HOL_Obool), tc_fun(_u9067, tc_HOL_Obool)), _u9065), c_COMBC(_u9067, tc_fun(tc_prod(_u9065, _u9067), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9067, tc_prod(_u9065, _u9067)), tc_fun(_u9067, tc_fun(tc_fun(tc_prod(_u9065, _u9067), tc_HOL_Obool), tc_HOL_Obool)), _u9065), hAPP(c_COMBB(tc_prod(_u9065, _u9067), tc_fun(tc_fun(tc_prod(_u9065, _u9067), tc_HOL_Obool), tc_HOL_Obool), _u9067), c_member(tc_prod(_u9065, _u9067)))), c_Product__Type_OPair(_u9065, _u9067))))), _u9069)), _u9071), _u9073)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u9065, _u9067)), hAPP(hAPP(c_Product__Type_OPair(_u9065, _u9067), _u9071), _u9073)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9063, tc_fun(tc_prod(_u9065, _u9067), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9063, tc_HOL_Obool))), _u9069))) )).
% 19.51/19.71 cnf(fact_INF__INT__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9066, _u9068)), hAPP(hAPP(c_Product__Type_OPair(_u9066, _u9068), _u9072), _u9074)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9064, tc_fun(tc_prod(_u9066, _u9068), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9064, tc_HOL_Obool))), _u9070))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9064, tc_fun(_u9066, tc_fun(_u9068, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u9064, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u9066, _u9068), tc_HOL_Obool), tc_fun(_u9066, tc_fun(_u9068, tc_HOL_Obool)), _u9064), hAPP(c_COMBC(_u9066, tc_fun(tc_prod(_u9066, _u9068), tc_HOL_Obool), tc_fun(_u9068, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9068, tc_fun(tc_fun(tc_prod(_u9066, _u9068), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9066, _u9068), tc_HOL_Obool), tc_fun(_u9068, tc_HOL_Obool)), _u9066), c_COMBC(_u9068, tc_fun(tc_prod(_u9066, _u9068), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9068, tc_prod(_u9066, _u9068)), tc_fun(_u9068, tc_fun(tc_fun(tc_prod(_u9066, _u9068), tc_HOL_Obool), tc_HOL_Obool)), _u9066), hAPP(c_COMBB(tc_prod(_u9066, _u9068), tc_fun(tc_fun(tc_prod(_u9066, _u9068), tc_HOL_Obool), tc_HOL_Obool), _u9068), c_member(tc_prod(_u9066, _u9068)))), c_Product__Type_OPair(_u9066, _u9068))))), _u9070)), _u9072), _u9074)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_le__INF__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_le__INF__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9077) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9077), _u9078), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9079, _u9077), _u9080), _u9081))) | ~hBOOL(hAPP(hAPP(c_member(_u9079), _u9075), _u9080)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9077), _u9078), hAPP(_u9081, _u9075))) )).
% 19.51/19.71 cnf(fact_le__INF__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9077) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9077), _u9078), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9079, _u9077), _u9080), _u9081))) | hBOOL(hAPP(hAPP(c_member(_u9079), skolem179(_u9081, _u9080, _u9079, _u9078, _u9077)), _u9080)) )).
% 19.51/19.71 cnf(fact_le__INF__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9077) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9077), _u9078), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9079, _u9077), _u9080), _u9081))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9077), _u9078), hAPP(_u9081, skolem179(_u9081, _u9080, _u9079, _u9078, _u9077)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INF__less__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INF__less__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9084) | ~class_Orderings_Olinorder(_u9084) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9084), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9085, _u9084), _u9086), _u9087)), _u9088)) | hBOOL(hAPP(hAPP(c_member(_u9085), skolem180(_u9088, _u9087, _u9086, _u9085, _u9084)), _u9086)) )).
% 19.51/19.71 cnf(fact_INF__less__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9084) | ~class_Orderings_Olinorder(_u9084) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9084), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9085, _u9084), _u9086), _u9087)), _u9088)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9084), hAPP(_u9087, skolem180(_u9088, _u9087, _u9086, _u9085, _u9084))), _u9088)) )).
% 19.51/19.71 cnf(fact_INF__less__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9084) | ~class_Orderings_Olinorder(_u9084) | ~hBOOL(hAPP(hAPP(c_member(_u9085), _u9083), _u9086)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9084), hAPP(_u9087, _u9083)), _u9088)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9084), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9085, _u9084), _u9086), _u9087)), _u9088)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INT__insert__distrib ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INT__insert__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9089), _u9090), _u9091)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9089, tc_fun(_u9092, tc_HOL_Obool)), _u9091), hAPP(hAPP(c_COMBB(tc_fun(_u9092, tc_HOL_Obool), tc_fun(_u9092, tc_HOL_Obool), _u9089), hAPP(c_Set_Oinsert(_u9092), _u9093)), _u9094)) = hAPP(hAPP(c_Set_Oinsert(_u9092), _u9093), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9089, tc_fun(_u9092, tc_HOL_Obool)), _u9091), _u9094))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INT__lower ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INT__lower-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9095), _u9096), _u9097)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9098, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9095, tc_fun(_u9098, tc_HOL_Obool)), _u9097), _u9099)), hAPP(_u9099, _u9096))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INF__INT__eq ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INF__INT__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9104, tc_fun(_u9106, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9104, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9106, tc_HOL_Obool), tc_fun(_u9106, tc_HOL_Obool), _u9104), hAPP(c_COMBC(_u9106, tc_fun(_u9106, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9106))), _u9108)), _u9110)) | hBOOL(hAPP(hAPP(c_member(_u9106), _u9110), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9104, tc_fun(_u9106, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9104, tc_HOL_Obool))), _u9108))) )).
% 19.51/19.71 cnf(fact_INF__INT__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9107), _u9111), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9105, tc_fun(_u9107, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9105, tc_HOL_Obool))), _u9109))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9105, tc_fun(_u9107, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9105, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9107, tc_HOL_Obool), tc_fun(_u9107, tc_HOL_Obool), _u9105), hAPP(c_COMBC(_u9107, tc_fun(_u9107, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9107))), _u9109)), _u9111)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INT__absorb ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INT__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9112), _u9113), _u9114)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9115, tc_HOL_Obool)), hAPP(_u9116, _u9113)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9112, tc_fun(_u9115, tc_HOL_Obool)), _u9114), _u9116)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9112, tc_fun(_u9115, tc_HOL_Obool)), _u9114), _u9116)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INF__const ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INF__const-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9117) | ( _u9118 = c_Orderings_Obot__class_Obot(tc_fun(_u9119, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9119, _u9117), _u9118), hAPP(c_COMBK(_u9117, _u9119), _u9120)) = _u9120) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INT__empty ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INT__empty-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9121, tc_fun(_u9122, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u9121, tc_HOL_Obool))), _u9123) = c_Orderings_Otop__class_Otop(tc_fun(_u9122, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INT__constant ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INT__constant-1, axiom, ( ( _u9128 != c_Orderings_Obot__class_Obot(tc_fun(_u9130, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9130, tc_fun(_u9132, tc_HOL_Obool)), _u9128), hAPP(c_COMBK(tc_fun(_u9132, tc_HOL_Obool), _u9130), _u9134)) = c_Orderings_Otop__class_Otop(tc_fun(_u9132, tc_HOL_Obool))) )).
% 19.51/19.71 cnf(fact_INT__constant-2, axiom, ( ( _u9129 = c_Orderings_Obot__class_Obot(tc_fun(_u9131, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9131, tc_fun(_u9133, tc_HOL_Obool)), _u9129), hAPP(c_COMBK(tc_fun(_u9133, tc_HOL_Obool), _u9131), _u9135)) = _u9135) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INT__extend__simps_I1_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INT__extend__simps_I1_J-1, axiom, ( ( _u9141 != c_Orderings_Obot__class_Obot(tc_fun(_u9143, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9145, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9143, tc_fun(_u9145, tc_HOL_Obool)), _u9141), _u9147)), _u9149) = _u9149) )).
% 19.51/19.71 cnf(fact_INT__extend__simps_I1_J-2, axiom, ( ( _u9142 = c_Orderings_Obot__class_Obot(tc_fun(_u9144, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9146, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9144, tc_fun(_u9146, tc_HOL_Obool)), _u9142), _u9148)), _u9150) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9144, tc_fun(_u9146, tc_HOL_Obool)), _u9142), hAPP(hAPP(c_COMBC(_u9144, tc_fun(_u9146, tc_HOL_Obool), tc_fun(_u9146, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9146, tc_HOL_Obool), tc_fun(tc_fun(_u9146, tc_HOL_Obool), tc_fun(_u9146, tc_HOL_Obool)), _u9144), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9146, tc_HOL_Obool))), _u9148)), _u9150))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INT__extend__simps_I2_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INT__extend__simps_I2_J-1, axiom, ( ( _u9156 != c_Orderings_Obot__class_Obot(tc_fun(_u9158, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9160, tc_HOL_Obool)), _u9162), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9158, tc_fun(_u9160, tc_HOL_Obool)), _u9156), _u9164)) = _u9162) )).
% 19.51/19.71 cnf(fact_INT__extend__simps_I2_J-2, axiom, ( ( _u9157 = c_Orderings_Obot__class_Obot(tc_fun(_u9159, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9161, tc_HOL_Obool)), _u9163), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9159, tc_fun(_u9161, tc_HOL_Obool)), _u9157), _u9165)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9159, tc_fun(_u9161, tc_HOL_Obool)), _u9157), hAPP(hAPP(c_COMBB(tc_fun(_u9161, tc_HOL_Obool), tc_fun(_u9161, tc_HOL_Obool), _u9159), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9161, tc_HOL_Obool)), _u9163)), _u9165))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INT__insert ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INT__insert-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9166, tc_fun(_u9167, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9166), _u9168), _u9169)), _u9170) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9167, tc_HOL_Obool)), hAPP(_u9170, _u9168)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9166, tc_fun(_u9167, tc_HOL_Obool)), _u9169), _u9170))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INT__Un ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INT__Un-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9171, tc_fun(_u9172, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9171, tc_HOL_Obool)), _u9173), _u9174)), _u9175) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9172, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9171, tc_fun(_u9172, tc_HOL_Obool)), _u9173), _u9175)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9171, tc_fun(_u9172, tc_HOL_Obool)), _u9174), _u9175))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Un__Inter ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Un__Inter-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9176, tc_HOL_Obool)), _u9177), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u9176, tc_HOL_Obool), _u9178)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u9176, tc_HOL_Obool), tc_fun(_u9176, tc_HOL_Obool)), _u9178), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9176, tc_HOL_Obool)), _u9177))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atLeastatMost__empty__iff2 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atLeastatMost__empty__iff2-1, axiom, ( ~class_Orderings_Oorder(_u9179) | ( c_Orderings_Obot__class_Obot(tc_fun(_u9179, tc_HOL_Obool)) != c_SetInterval_Oord__class_OatLeastAtMost(_u9179, _u9180, _u9181)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9179), _u9180), _u9181)) )).
% 19.51/19.71 cnf(fact_atLeastatMost__empty__iff2-2, axiom, ( ~class_Orderings_Oorder(_u9179) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9179), _u9180), _u9181)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u9179, tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(_u9179, _u9180, _u9181)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atLeastatMost__empty__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atLeastatMost__empty__iff-1, axiom, ( ~class_Orderings_Oorder(_u9182) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u9182, _u9183, _u9184) != c_Orderings_Obot__class_Obot(tc_fun(_u9182, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9182), _u9183), _u9184)) )).
% 19.51/19.71 cnf(fact_atLeastatMost__empty__iff-2, axiom, ( ~class_Orderings_Oorder(_u9182) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9182), _u9183), _u9184)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u9182, _u9183, _u9184) = c_Orderings_Obot__class_Obot(tc_fun(_u9182, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atLeastatMost__empty ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atLeastatMost__empty-1, axiom, ( ~class_Orderings_Oorder(_u9185) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9185), _u9186), _u9187)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u9185, _u9187, _u9186) = c_Orderings_Obot__class_Obot(tc_fun(_u9185, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atLeastatMost__subset__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atLeastatMost__subset__iff-1, axiom, ( ~class_Orderings_Oorder(_u9188) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9188, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u9188, _u9189, _u9190)), c_SetInterval_Oord__class_OatLeastAtMost(_u9188, _u9191, _u9192))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9188), _u9189), _u9190)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9188), _u9191), _u9189)) )).
% 19.51/19.71 cnf(fact_atLeastatMost__subset__iff-2, axiom, ( ~class_Orderings_Oorder(_u9188) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9188, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u9188, _u9189, _u9190)), c_SetInterval_Oord__class_OatLeastAtMost(_u9188, _u9191, _u9192))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9188), _u9189), _u9190)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9188), _u9190), _u9192)) )).
% 19.51/19.71 cnf(fact_atLeastatMost__subset__iff-3, axiom, ( ~class_Orderings_Oorder(_u9188) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9188, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u9188, _u9189, _u9190)), c_SetInterval_Oord__class_OatLeastAtMost(_u9188, _u9191, _u9192))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9188), _u9189), _u9190)) )).
% 19.51/19.71 cnf(fact_atLeastatMost__subset__iff-4, axiom, ( ~class_Orderings_Oorder(_u9188) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9188, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u9188, _u9189, _u9190)), c_SetInterval_Oord__class_OatLeastAtMost(_u9188, _u9191, _u9192))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9188), _u9191), _u9189)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9188), _u9190), _u9192)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atLeastAtMost__singleton ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atLeastAtMost__singleton-1, axiom, ( ~class_Orderings_Oorder(_u9193) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u9193, _u9194, _u9194) = hAPP(hAPP(c_Set_Oinsert(_u9193), _u9194), c_Orderings_Obot__class_Obot(tc_fun(_u9193, tc_HOL_Obool)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atLeastAtMost__singleton__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atLeastAtMost__singleton__iff-1, axiom, ( ~class_Orderings_Oorder(_u9195) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u9195, _u9196, _u9197) != hAPP(hAPP(c_Set_Oinsert(_u9195), _u9198), c_Orderings_Obot__class_Obot(tc_fun(_u9195, tc_HOL_Obool)))) | ( _u9196 = _u9197) )).
% 19.51/19.71 cnf(fact_atLeastAtMost__singleton__iff-2, axiom, ( ~class_Orderings_Oorder(_u9195) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u9195, _u9196, _u9197) != hAPP(hAPP(c_Set_Oinsert(_u9195), _u9198), c_Orderings_Obot__class_Obot(tc_fun(_u9195, tc_HOL_Obool)))) | ( _u9197 = _u9198) )).
% 19.51/19.71 cnf(fact_atLeastAtMost__singleton__iff-3, axiom, ( ~class_Orderings_Oorder(_u9195) | ( _u9196 != _u9197) | ( _u9197 != _u9198) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u9195, _u9196, _u9197) = hAPP(hAPP(c_Set_Oinsert(_u9195), _u9198), c_Orderings_Obot__class_Obot(tc_fun(_u9195, tc_HOL_Obool)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atLeastAtMost__singleton_H ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atLeastAtMost__singleton_H-1, axiom, ( ~class_Orderings_Oorder(_u9199) | ( _u9200 != _u9201) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u9199, _u9200, _u9201) = hAPP(hAPP(c_Set_Oinsert(_u9199), _u9200), c_Orderings_Obot__class_Obot(tc_fun(_u9199, tc_HOL_Obool)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_setsum__shift__bounds__cl__Suc__ivl ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_setsum__shift__bounds__cl__Suc__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9202) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9202), _u9203), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9204), hAPP(c_Nat_OSuc, _u9205))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9202), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u9202, tc_Nat_Onat), _u9203), c_Nat_OSuc)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u9204, _u9205))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_setsum__shift__bounds__cl__nat__ivl ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_setsum__shift__bounds__cl__nat__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9206) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9206), _u9207), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9208), _u9209), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9210), _u9209))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9206), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u9206, tc_Nat_Onat), _u9207), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u9209))), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u9208, _u9210))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INF__subset ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INF__subset-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9211) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9212, tc_HOL_Obool)), _u9213), _u9214)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9211), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9212, _u9211), _u9214), _u9215)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9212, _u9211), _u9213), _u9215))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INT__simps_I1_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INT__simps_I1_J-1, axiom, ( ( _u9221 != c_Orderings_Obot__class_Obot(tc_fun(_u9223, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9223, tc_fun(_u9225, tc_HOL_Obool)), _u9221), hAPP(hAPP(c_COMBC(_u9223, tc_fun(_u9225, tc_HOL_Obool), tc_fun(_u9225, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9225, tc_HOL_Obool), tc_fun(tc_fun(_u9225, tc_HOL_Obool), tc_fun(_u9225, tc_HOL_Obool)), _u9223), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9225, tc_HOL_Obool))), _u9227)), _u9229)) = c_Orderings_Otop__class_Otop(tc_fun(_u9225, tc_HOL_Obool))) )).
% 19.51/19.71 cnf(fact_INT__simps_I1_J-2, axiom, ( ( _u9222 = c_Orderings_Obot__class_Obot(tc_fun(_u9224, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9224, tc_fun(_u9226, tc_HOL_Obool)), _u9222), hAPP(hAPP(c_COMBC(_u9224, tc_fun(_u9226, tc_HOL_Obool), tc_fun(_u9226, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9226, tc_HOL_Obool), tc_fun(tc_fun(_u9226, tc_HOL_Obool), tc_fun(_u9226, tc_HOL_Obool)), _u9224), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9226, tc_HOL_Obool))), _u9228)), _u9230)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9226, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9224, tc_fun(_u9226, tc_HOL_Obool)), _u9222), _u9228)), _u9230)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INT__simps_I2_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INT__simps_I2_J-1, axiom, ( ( _u9236 != c_Orderings_Obot__class_Obot(tc_fun(_u9238, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9238, tc_fun(_u9240, tc_HOL_Obool)), _u9236), hAPP(hAPP(c_COMBB(tc_fun(_u9240, tc_HOL_Obool), tc_fun(_u9240, tc_HOL_Obool), _u9238), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9240, tc_HOL_Obool)), _u9242)), _u9244)) = c_Orderings_Otop__class_Otop(tc_fun(_u9240, tc_HOL_Obool))) )).
% 19.51/19.71 cnf(fact_INT__simps_I2_J-2, axiom, ( ( _u9237 = c_Orderings_Obot__class_Obot(tc_fun(_u9239, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9239, tc_fun(_u9241, tc_HOL_Obool)), _u9237), hAPP(hAPP(c_COMBB(tc_fun(_u9241, tc_HOL_Obool), tc_fun(_u9241, tc_HOL_Obool), _u9239), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9241, tc_HOL_Obool)), _u9243)), _u9245)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9241, tc_HOL_Obool)), _u9243), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9239, tc_fun(_u9241, tc_HOL_Obool)), _u9237), _u9245))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INT__extend__simps_I3_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INT__extend__simps_I3_J-1, axiom, ( ( _u9251 != c_Orderings_Obot__class_Obot(tc_fun(_u9253, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9255, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9253, tc_fun(_u9255, tc_HOL_Obool)), _u9251), _u9257)), _u9259) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9255, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9255, tc_HOL_Obool))), _u9259)) )).
% 19.51/19.71 cnf(fact_INT__extend__simps_I3_J-2, axiom, ( ( _u9252 = c_Orderings_Obot__class_Obot(tc_fun(_u9254, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9256, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9254, tc_fun(_u9256, tc_HOL_Obool)), _u9252), _u9258)), _u9260) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9254, tc_fun(_u9256, tc_HOL_Obool)), _u9252), hAPP(hAPP(c_COMBC(_u9254, tc_fun(_u9256, tc_HOL_Obool), tc_fun(_u9256, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9256, tc_HOL_Obool), tc_fun(tc_fun(_u9256, tc_HOL_Obool), tc_fun(_u9256, tc_HOL_Obool)), _u9254), c_Groups_Ominus__class_Ominus(tc_fun(_u9256, tc_HOL_Obool))), _u9258)), _u9260))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INT__simps_I3_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INT__simps_I3_J-1, axiom, ( ( _u9266 != c_Orderings_Obot__class_Obot(tc_fun(_u9268, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9268, tc_fun(_u9270, tc_HOL_Obool)), _u9266), hAPP(hAPP(c_COMBC(_u9268, tc_fun(_u9270, tc_HOL_Obool), tc_fun(_u9270, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9270, tc_HOL_Obool), tc_fun(tc_fun(_u9270, tc_HOL_Obool), tc_fun(_u9270, tc_HOL_Obool)), _u9268), c_Groups_Ominus__class_Ominus(tc_fun(_u9270, tc_HOL_Obool))), _u9272)), _u9274)) = c_Orderings_Otop__class_Otop(tc_fun(_u9270, tc_HOL_Obool))) )).
% 19.51/19.71 cnf(fact_INT__simps_I3_J-2, axiom, ( ( _u9267 = c_Orderings_Obot__class_Obot(tc_fun(_u9269, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9269, tc_fun(_u9271, tc_HOL_Obool)), _u9267), hAPP(hAPP(c_COMBC(_u9269, tc_fun(_u9271, tc_HOL_Obool), tc_fun(_u9271, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9271, tc_HOL_Obool), tc_fun(tc_fun(_u9271, tc_HOL_Obool), tc_fun(_u9271, tc_HOL_Obool)), _u9269), c_Groups_Ominus__class_Ominus(tc_fun(_u9271, tc_HOL_Obool))), _u9273)), _u9275)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9271, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9269, tc_fun(_u9271, tc_HOL_Obool)), _u9267), _u9273)), _u9275)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_card__atLeastAtMost ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_card__atLeastAtMost-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u9276, _u9277)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9277)), _u9276)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atLeastAtMostSuc__conv ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atLeastAtMostSuc__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9278), hAPP(c_Nat_OSuc, _u9279))) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u9278, hAPP(c_Nat_OSuc, _u9279)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9279)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u9278, _u9279))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INF__leI ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INF__leI-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9280) | ~hBOOL(hAPP(hAPP(c_member(_u9281), _u9282), _u9283)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9280), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9281, _u9280), _u9283), _u9284)), hAPP(_u9284, _u9282))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_setsum__shift__lb__Suc0__0 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_setsum__shift__lb__Suc0__0-1, axiom, ( ( hAPP(_u9285, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u9285), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9286)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u9285), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u9286))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Int__atLeastAtMost ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Int__atLeastAtMost-1, axiom, ( ~class_Orderings_Olinorder(_u9287) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9287, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u9287, _u9288, _u9289)), c_SetInterval_Oord__class_OatLeastAtMost(_u9287, _u9290, _u9291)) = c_SetInterval_Oord__class_OatLeastAtMost(_u9287, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9287), _u9288), _u9290), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9287), _u9289), _u9291))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atLeastatMost__psubset__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atLeastatMost__psubset__iff-1, axiom, ( ~class_Orderings_Oorder(_u9292) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9292, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u9292, _u9293, _u9294)), c_SetInterval_Oord__class_OatLeastAtMost(_u9292, _u9295, _u9296))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9292), _u9293), _u9294)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9292), _u9295), _u9293)) )).
% 19.51/19.71 cnf(fact_atLeastatMost__psubset__iff-2, axiom, ( ~class_Orderings_Oorder(_u9292) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9292, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u9292, _u9293, _u9294)), c_SetInterval_Oord__class_OatLeastAtMost(_u9292, _u9295, _u9296))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9292), _u9293), _u9294)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9292), _u9294), _u9296)) )).
% 19.51/19.71 cnf(fact_atLeastatMost__psubset__iff-3, axiom, ( ~class_Orderings_Oorder(_u9292) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9292, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u9292, _u9293, _u9294)), c_SetInterval_Oord__class_OatLeastAtMost(_u9292, _u9295, _u9296))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9292), _u9293), _u9294)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9292), _u9295), _u9293)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9292), _u9294), _u9296)) )).
% 19.51/19.71 cnf(fact_atLeastatMost__psubset__iff-4, axiom, ( ~class_Orderings_Oorder(_u9292) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9292, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u9292, _u9293, _u9294)), c_SetInterval_Oord__class_OatLeastAtMost(_u9292, _u9295, _u9296))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9292), _u9295), _u9296)) )).
% 19.51/19.71 cnf(fact_atLeastatMost__psubset__iff-5, axiom, ( ~class_Orderings_Oorder(_u9292) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9292, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u9292, _u9293, _u9294)), c_SetInterval_Oord__class_OatLeastAtMost(_u9292, _u9295, _u9296))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9292), _u9295), _u9296)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9292), _u9293), _u9294)) )).
% 19.51/19.71 cnf(fact_atLeastatMost__psubset__iff-6, axiom, ( ~class_Orderings_Oorder(_u9292) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9292, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u9292, _u9293, _u9294)), c_SetInterval_Oord__class_OatLeastAtMost(_u9292, _u9295, _u9296))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9292), _u9295), _u9296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9292), _u9295), _u9293)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9292), _u9294), _u9296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9292), _u9295), _u9293)) )).
% 19.51/19.71 cnf(fact_atLeastatMost__psubset__iff-7, axiom, ( ~class_Orderings_Oorder(_u9292) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9292, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u9292, _u9293, _u9294)), c_SetInterval_Oord__class_OatLeastAtMost(_u9292, _u9295, _u9296))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9292), _u9295), _u9296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9292), _u9295), _u9293)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9292), _u9294), _u9296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9292), _u9294), _u9296)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__int_I4_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__int_I4_J-1, axiom, ( ~class_Orderings_Oorder(_u9297) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9297, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u9297), _u9298)), c_SetInterval_Oord__class_OatLeastAtMost(_u9297, _u9298, _u9299)) = c_Orderings_Obot__class_Obot(tc_fun(_u9297, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_setsum__head__Suc ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_setsum__head__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9300) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9301), _u9302)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9300), _u9303), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u9301, _u9302)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9300), hAPP(_u9303, _u9301)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9300), _u9303), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9301), _u9302)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_pair__lessI1 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_pair__lessI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9304), _u9305)) | 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)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u9304), _u9306)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u9305), _u9307))), c_FunDef_Opair__less)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_setsum__cl__ivl__Suc ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_setsum__cl__ivl__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9308) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9309)), _u9310)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9308), _u9311), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u9310, hAPP(c_Nat_OSuc, _u9309))) = c_Groups_Ozero__class_Ozero(_u9308)) )).
% 19.51/19.71 cnf(fact_setsum__cl__ivl__Suc-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9308) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9309)), _u9310)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9308), _u9311), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u9310, hAPP(c_Nat_OSuc, _u9309))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9308), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9308), _u9311), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u9310, _u9309))), hAPP(_u9311, hAPP(c_Nat_OSuc, _u9309)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_inf__INFI__fold__inf ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_inf__INFI__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9312) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9313), _u9314)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9312), _u9315), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9313, _u9312), _u9314), _u9316)) = hAPP(hAPP(c_Finite__Set_Ofold(_u9313, _u9312, hAPP(hAPP(c_COMBB(_u9312, tc_fun(_u9312, _u9312), _u9313), c_Lattices_Osemilattice__inf__class_Oinf(_u9312)), _u9316)), _u9315), _u9314)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_setsum__ub__add__nat ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_setsum__ub__add__nat-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9317) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9318), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9319), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9317), _u9320), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u9318, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9319), _u9321))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9317), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9317), _u9320), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u9318, _u9319))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9317), _u9320), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9319), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9319), _u9321))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_all__nat__less ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_all__nat__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9323), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u9328))) | hBOOL(hAPP(_u9330, _u9323)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem181(_u9330, _u9328)), _u9328)) )).
% 19.51/19.71 cnf(fact_all__nat__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9323), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u9328))) | hBOOL(hAPP(_u9330, _u9323)) | ~hBOOL(hAPP(_u9330, skolem181(_u9330, _u9328))) )).
% 19.51/19.71 cnf(fact_all__nat__less-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9325), _u9329)) | hBOOL(hAPP(_u9331, _u9325)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem182(_u9331, _u9329)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u9329))) )).
% 19.51/19.71 cnf(fact_all__nat__less-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9325), _u9329)) | hBOOL(hAPP(_u9331, _u9325)) | ~hBOOL(hAPP(_u9331, skolem182(_u9331, _u9329))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ex__nat__less ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ex__nat__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9332), _u9338)) | ~hBOOL(hAPP(_u9340, _u9332)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem183(_u9340, _u9338)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u9338))) )).
% 19.51/19.71 cnf(fact_ex__nat__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9332), _u9338)) | ~hBOOL(hAPP(_u9340, _u9332)) | hBOOL(hAPP(_u9340, skolem183(_u9340, _u9338))) )).
% 19.51/19.71 cnf(fact_ex__nat__less-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9334), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u9339))) | ~hBOOL(hAPP(_u9341, _u9334)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem184(_u9341, _u9339)), _u9339)) )).
% 19.51/19.71 cnf(fact_ex__nat__less-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9334), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u9339))) | ~hBOOL(hAPP(_u9341, _u9334)) | hBOOL(hAPP(_u9341, skolem184(_u9341, _u9339))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_pair__leqI2 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_pair__leqI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9342), _u9343)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9344), _u9345)) | 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)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u9342), _u9344)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u9343), _u9345))), c_FunDef_Opair__leq)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_smax__insertI ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_smax__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u9346), _u9347)) | ~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)), _u9348), _u9346)), 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)), _u9349), _u9347)), 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)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u9348), _u9349)), _u9347)), c_FunDef_Omax__strict)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INF1__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INF1__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9357, tc_fun(_u9359, tc_HOL_Obool)), _u9361), _u9363), _u9365)) | ~hBOOL(hAPP(hAPP(c_member(_u9357), _u9350), _u9361)) | hBOOL(hAPP(hAPP(_u9363, _u9350), _u9365)) )).
% 19.51/19.71 cnf(fact_INF1__iff-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9358, tc_fun(_u9360, tc_HOL_Obool)), _u9362), _u9364), _u9366)) | hBOOL(hAPP(hAPP(c_member(_u9358), skolem185(_u9366, _u9364, _u9362, _u9360, _u9358)), _u9362)) )).
% 19.51/19.71 cnf(fact_INF1__iff-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9358, tc_fun(_u9360, tc_HOL_Obool)), _u9362), _u9364), _u9366)) | ~hBOOL(hAPP(hAPP(_u9364, skolem185(_u9366, _u9364, _u9362, _u9360, _u9358)), _u9366)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INF2__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INF2__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9376, tc_fun(_u9378, tc_fun(_u9380, tc_HOL_Obool))), _u9382), _u9384), _u9386), _u9388)) | ~hBOOL(hAPP(hAPP(c_member(_u9376), _u9367), _u9382)) | hBOOL(hAPP(hAPP(hAPP(_u9384, _u9367), _u9386), _u9388)) )).
% 19.51/19.71 cnf(fact_INF2__iff-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9377, tc_fun(_u9379, tc_fun(_u9381, tc_HOL_Obool))), _u9383), _u9385), _u9387), _u9389)) | hBOOL(hAPP(hAPP(c_member(_u9377), skolem186(_u9389, _u9387, _u9385, _u9383, _u9381, _u9379, _u9377)), _u9383)) )).
% 19.51/19.71 cnf(fact_INF2__iff-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9377, tc_fun(_u9379, tc_fun(_u9381, tc_HOL_Obool))), _u9383), _u9385), _u9387), _u9389)) | ~hBOOL(hAPP(hAPP(hAPP(_u9385, skolem186(_u9389, _u9387, _u9385, _u9383, _u9381, _u9379, _u9377)), _u9387), _u9389)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_smax__emptyI ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_smax__emptyI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u9390)) | ( _u9390 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))) | 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_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), _u9390)), c_FunDef_Omax__strict)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_simp__from__to ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_simp__from__to-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9393), _u9395)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u9395, _u9393) = c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 19.51/19.71 cnf(fact_simp__from__to-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9394), _u9396)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u9396, _u9394) = hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint), _u9396), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9396), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u9394))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_card__atLeastAtMost__int ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_card__atLeastAtMost__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u9397, _u9398)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9398), _u9397)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_pair__leqI1 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_pair__leqI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9399), _u9400)) | 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)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u9399), _u9401)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u9400), _u9402))), c_FunDef_Opair__leq)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_wmin__insertI ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_wmin__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u9403), _u9404)) | ~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)), _u9403), _u9405)), c_FunDef_Opair__leq)) | ~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)), _u9404), _u9406)), c_FunDef_Omin__weak)) | 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)), _u9404), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u9405), _u9406))), c_FunDef_Omin__weak)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_wmax__insertI ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_wmax__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u9407), _u9408)) | ~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)), _u9409), _u9407)), c_FunDef_Opair__leq)) | ~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)), _u9410), _u9408)), c_FunDef_Omax__weak)) | 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)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u9409), _u9410)), _u9408)), c_FunDef_Omax__weak)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_smin__insertI ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_smin__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u9411), _u9412)) | ~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)), _u9411), _u9413)), 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)), _u9412), _u9414)), c_FunDef_Omin__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)), _u9412), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u9413), _u9414))), c_FunDef_Omin__strict)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_aset_I8_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_aset_I8_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9418)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9420), _u9417)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9420), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9417), _u9418))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem187(_u9420, _u9419, _u9418, _u9417)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9418))) )).
% 19.51/19.71 cnf(fact_aset_I8_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9418)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9420), _u9417)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9420), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9417), _u9418))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem188(_u9420, _u9419, _u9418, _u9417)), _u9419)) )).
% 19.51/19.71 cnf(fact_aset_I8_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9418)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9420), _u9417)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9420), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9417), _u9418))) | ( _u9417 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem188(_u9420, _u9419, _u9418, _u9417)), skolem187(_u9420, _u9419, _u9418, _u9417))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_finite__atLeastAtMost__int ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_finite__atLeastAtMost__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u9421, _u9422))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_wmax__emptyI ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_wmax__emptyI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u9423)) | 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_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), _u9423)), c_FunDef_Omax__weak)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_wmin__emptyI ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_wmin__emptyI-1, axiom, ( 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)), _u9424), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__weak)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_smin__emptyI ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_smin__emptyI-1, axiom, ( ( _u9425 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))) | 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)), _u9425), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__strict)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__weak__def ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__weak__def-1, axiom, ( ( c_FunDef_Omin__weak = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__leq)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), 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_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_max__weak__def ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_max__weak__def-1, axiom, ( ( c_FunDef_Omax__weak = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__leq)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), 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_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_aset_I6_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_aset_I6_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9429)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9430), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u9431)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9428), _u9430)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9428), _u9429)), _u9430)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem189(_u9431, _u9430, _u9429, _u9428)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9429))) )).
% 19.51/19.71 cnf(fact_aset_I6_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9429)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9430), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u9431)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9428), _u9430)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9428), _u9429)), _u9430)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem190(_u9431, _u9430, _u9429, _u9428)), _u9431)) )).
% 19.51/19.71 cnf(fact_aset_I6_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9429)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9430), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u9431)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9428), _u9430)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9428), _u9429)), _u9430)) | ( _u9428 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem190(_u9431, _u9430, _u9429, _u9428)), skolem189(_u9431, _u9430, _u9429, _u9428))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_bset_I8_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_bset_I8_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9435)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9436), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u9437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9436), _u9434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9436), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9434), _u9435))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem191(_u9437, _u9436, _u9435, _u9434)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9435))) )).
% 19.51/19.71 cnf(fact_bset_I8_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9435)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9436), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u9437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9436), _u9434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9436), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9434), _u9435))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem192(_u9437, _u9436, _u9435, _u9434)), _u9437)) )).
% 19.51/19.71 cnf(fact_bset_I8_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9435)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9436), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u9437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9436), _u9434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9436), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9434), _u9435))) | ( _u9434 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem192(_u9437, _u9436, _u9435, _u9434)), skolem191(_u9437, _u9436, _u9435, _u9434))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_infinite__UNIV__int ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_infinite__UNIV__int-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint, tc_HOL_Obool)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_max__strict__def ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_max__strict__def-1, axiom, ( ( c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_max__ext__additive ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_max__ext__additive-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u9438, tc_HOL_Obool), tc_fun(_u9438, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u9438, tc_HOL_Obool), tc_fun(_u9438, tc_HOL_Obool)), _u9439), _u9440)), c_Wellfounded_Omax__ext(_u9438, _u9441))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u9438, tc_HOL_Obool), tc_fun(_u9438, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u9438, tc_HOL_Obool), tc_fun(_u9438, tc_HOL_Obool)), _u9442), _u9443)), c_Wellfounded_Omax__ext(_u9438, _u9441))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u9438, tc_HOL_Obool), tc_fun(_u9438, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u9438, tc_HOL_Obool), tc_fun(_u9438, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9438, tc_HOL_Obool)), _u9439), _u9442)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9438, tc_HOL_Obool)), _u9440), _u9443))), c_Wellfounded_Omax__ext(_u9438, _u9441))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__strict__def ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__strict__def-1, axiom, ( ( c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_max__extp__max__ext__eq ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_max__extp__max__ext__eq-1, axiom, ( ~c_Wellfounded_Omax__extp(_u9448, hAPP(hAPP(c_COMBC(_u9448, tc_fun(tc_prod(_u9448, _u9448), tc_HOL_Obool), tc_fun(_u9448, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9448, tc_fun(tc_fun(tc_prod(_u9448, _u9448), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9448, _u9448), tc_HOL_Obool), tc_fun(_u9448, tc_HOL_Obool)), _u9448), c_COMBC(_u9448, tc_fun(tc_prod(_u9448, _u9448), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9448, tc_prod(_u9448, _u9448)), tc_fun(_u9448, tc_fun(tc_fun(tc_prod(_u9448, _u9448), tc_HOL_Obool), tc_HOL_Obool)), _u9448), hAPP(c_COMBB(tc_prod(_u9448, _u9448), tc_fun(tc_fun(tc_prod(_u9448, _u9448), tc_HOL_Obool), tc_HOL_Obool), _u9448), c_member(tc_prod(_u9448, _u9448)))), c_Product__Type_OPair(_u9448, _u9448)))), _u9450), _u9452, _u9454) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u9448, tc_HOL_Obool), tc_fun(_u9448, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u9448, tc_HOL_Obool), tc_fun(_u9448, tc_HOL_Obool)), _u9452), _u9454)), c_Wellfounded_Omax__ext(_u9448, _u9450))) )).
% 19.51/19.71 cnf(fact_max__extp__max__ext__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u9449, tc_HOL_Obool), tc_fun(_u9449, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u9449, tc_HOL_Obool), tc_fun(_u9449, tc_HOL_Obool)), _u9453), _u9455)), c_Wellfounded_Omax__ext(_u9449, _u9451))) | c_Wellfounded_Omax__extp(_u9449, hAPP(hAPP(c_COMBC(_u9449, tc_fun(tc_prod(_u9449, _u9449), tc_HOL_Obool), tc_fun(_u9449, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9449, tc_fun(tc_fun(tc_prod(_u9449, _u9449), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9449, _u9449), tc_HOL_Obool), tc_fun(_u9449, tc_HOL_Obool)), _u9449), c_COMBC(_u9449, tc_fun(tc_prod(_u9449, _u9449), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9449, tc_prod(_u9449, _u9449)), tc_fun(_u9449, tc_fun(tc_fun(tc_prod(_u9449, _u9449), tc_HOL_Obool), tc_HOL_Obool)), _u9449), hAPP(c_COMBB(tc_prod(_u9449, _u9449), tc_fun(tc_fun(tc_prod(_u9449, _u9449), tc_HOL_Obool), tc_HOL_Obool), _u9449), c_member(tc_prod(_u9449, _u9449)))), c_Product__Type_OPair(_u9449, _u9449)))), _u9451), _u9453, _u9455) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_aset_I4_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_aset_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9459)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9460), _u9461)) | ( _u9458 = _u9460) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9458), _u9459) != _u9460) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem193(_u9461, _u9460, _u9459, _u9458)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9459))) )).
% 19.51/19.71 cnf(fact_aset_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9459)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9460), _u9461)) | ( _u9458 = _u9460) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9458), _u9459) != _u9460) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem194(_u9461, _u9460, _u9459, _u9458)), _u9461)) )).
% 19.51/19.71 cnf(fact_aset_I4_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9459)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9460), _u9461)) | ( _u9458 = _u9460) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9458), _u9459) != _u9460) | ( _u9458 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem194(_u9461, _u9460, _u9459, _u9458)), skolem193(_u9461, _u9460, _u9459, _u9458))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_bset_I4_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_bset_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9465)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9466), _u9467)) | ( _u9464 = _u9466) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9464), _u9465) != _u9466) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem195(_u9467, _u9466, _u9465, _u9464)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9465))) )).
% 19.51/19.71 cnf(fact_bset_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9465)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9466), _u9467)) | ( _u9464 = _u9466) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9464), _u9465) != _u9466) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem196(_u9467, _u9466, _u9465, _u9464)), _u9467)) )).
% 19.51/19.71 cnf(fact_bset_I4_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9465)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9466), _u9467)) | ( _u9464 = _u9466) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9464), _u9465) != _u9466) | ( _u9464 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem196(_u9467, _u9466, _u9465, _u9464)), skolem195(_u9467, _u9466, _u9465, _u9464))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_bset_I7_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_bset_I7_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9471)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9472), _u9473)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9472), _u9470)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9472), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9470), _u9471))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem197(_u9473, _u9472, _u9471, _u9470)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9471))) )).
% 19.51/19.71 cnf(fact_bset_I7_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9471)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9472), _u9473)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9472), _u9470)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9472), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9470), _u9471))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem198(_u9473, _u9472, _u9471, _u9470)), _u9473)) )).
% 19.51/19.71 cnf(fact_bset_I7_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9471)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9472), _u9473)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9472), _u9470)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9472), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9470), _u9471))) | ( _u9470 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem198(_u9473, _u9472, _u9471, _u9470)), skolem197(_u9473, _u9472, _u9471, _u9470))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_bset_I3_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_bset_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9476)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9477), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u9478)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9477), _u9476) = _u9477) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem199(_u9478, _u9477, _u9476)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9476))) )).
% 19.51/19.71 cnf(fact_bset_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9476)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9477), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u9478)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9477), _u9476) = _u9477) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem200(_u9478, _u9477, _u9476)), _u9478)) )).
% 19.51/19.71 cnf(fact_bset_I3_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9476)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9477), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u9478)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9477), _u9476) = _u9477) | ( _u9477 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem200(_u9478, _u9477, _u9476)), skolem199(_u9478, _u9477, _u9476))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_aset_I3_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_aset_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9481)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9482), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u9483)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9482), _u9481) = _u9482) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem201(_u9483, _u9482, _u9481)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9481))) )).
% 19.51/19.71 cnf(fact_aset_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9481)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9482), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u9483)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9482), _u9481) = _u9482) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem202(_u9483, _u9482, _u9481)), _u9483)) )).
% 19.51/19.71 cnf(fact_aset_I3_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9481)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9482), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u9483)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9482), _u9481) = _u9482) | ( _u9482 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem202(_u9483, _u9482, _u9481)), skolem201(_u9483, _u9482, _u9481))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_aset_I5_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_aset_I5_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9487)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9488), _u9489)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9486), _u9488)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9486), _u9487)), _u9488)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem203(_u9489, _u9488, _u9487, _u9486)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9487))) )).
% 19.51/19.71 cnf(fact_aset_I5_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9487)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9488), _u9489)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9486), _u9488)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9486), _u9487)), _u9488)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem204(_u9489, _u9488, _u9487, _u9486)), _u9489)) )).
% 19.51/19.71 cnf(fact_aset_I5_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9487)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9488), _u9489)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9486), _u9488)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9486), _u9487)), _u9488)) | ( _u9486 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem204(_u9489, _u9488, _u9487, _u9486)), skolem203(_u9489, _u9488, _u9487, _u9486))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_bset_I6_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_bset_I6_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9493)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9492), _u9495)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9492), _u9493)), _u9495)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem205(_u9495, _u9494, _u9493, _u9492)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9493))) )).
% 19.51/19.71 cnf(fact_bset_I6_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9493)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9492), _u9495)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9492), _u9493)), _u9495)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem206(_u9495, _u9494, _u9493, _u9492)), _u9494)) )).
% 19.51/19.71 cnf(fact_bset_I6_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9493)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9492), _u9495)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9492), _u9493)), _u9495)) | ( _u9492 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem206(_u9495, _u9494, _u9493, _u9492)), skolem205(_u9495, _u9494, _u9493, _u9492))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_periodic__finite__ex ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_periodic__finite__ex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9502)) | ~hBOOL(hAPP(_u9503, _u9498)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem211(_u9503, _u9502)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9502))) | hBOOL(hAPP(_u9503, skolem207(_u9503, _u9502))) | ~hBOOL(hAPP(_u9503, skolem209(_u9503, _u9502))) )).
% 19.51/19.71 cnf(fact_periodic__finite__ex-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9502)) | ~hBOOL(hAPP(_u9503, _u9498)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem211(_u9503, _u9502)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9502))) | hBOOL(hAPP(_u9503, skolem207(_u9503, _u9502))) | hBOOL(hAPP(_u9503, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem209(_u9503, _u9502)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem210(_u9503, _u9502)), _u9502)))) )).
% 19.51/19.71 cnf(fact_periodic__finite__ex-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9502)) | ~hBOOL(hAPP(_u9503, _u9498)) | hBOOL(hAPP(_u9503, skolem211(_u9503, _u9502))) | hBOOL(hAPP(_u9503, skolem207(_u9503, _u9502))) | ~hBOOL(hAPP(_u9503, skolem209(_u9503, _u9502))) )).
% 19.51/19.71 cnf(fact_periodic__finite__ex-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9502)) | ~hBOOL(hAPP(_u9503, _u9498)) | hBOOL(hAPP(_u9503, skolem211(_u9503, _u9502))) | hBOOL(hAPP(_u9503, skolem207(_u9503, _u9502))) | hBOOL(hAPP(_u9503, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem209(_u9503, _u9502)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem210(_u9503, _u9502)), _u9502)))) )).
% 19.51/19.71 cnf(fact_periodic__finite__ex-5, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9502)) | ~hBOOL(hAPP(_u9503, _u9498)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem211(_u9503, _u9502)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9502))) | ~hBOOL(hAPP(_u9503, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem207(_u9503, _u9502)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem208(_u9503, _u9502)), _u9502)))) | ~hBOOL(hAPP(_u9503, skolem209(_u9503, _u9502))) )).
% 19.51/19.71 cnf(fact_periodic__finite__ex-6, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9502)) | ~hBOOL(hAPP(_u9503, _u9498)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem211(_u9503, _u9502)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9502))) | ~hBOOL(hAPP(_u9503, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem207(_u9503, _u9502)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem208(_u9503, _u9502)), _u9502)))) | hBOOL(hAPP(_u9503, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem209(_u9503, _u9502)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem210(_u9503, _u9502)), _u9502)))) )).
% 19.51/19.71 cnf(fact_periodic__finite__ex-7, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9502)) | ~hBOOL(hAPP(_u9503, _u9498)) | hBOOL(hAPP(_u9503, skolem211(_u9503, _u9502))) | ~hBOOL(hAPP(_u9503, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem207(_u9503, _u9502)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem208(_u9503, _u9502)), _u9502)))) | ~hBOOL(hAPP(_u9503, skolem209(_u9503, _u9502))) )).
% 19.51/19.71 cnf(fact_periodic__finite__ex-8, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9502)) | ~hBOOL(hAPP(_u9503, _u9498)) | hBOOL(hAPP(_u9503, skolem211(_u9503, _u9502))) | ~hBOOL(hAPP(_u9503, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem207(_u9503, _u9502)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem208(_u9503, _u9502)), _u9502)))) | hBOOL(hAPP(_u9503, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem209(_u9503, _u9502)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem210(_u9503, _u9502)), _u9502)))) )).
% 19.51/19.71 cnf(fact_periodic__finite__ex-9, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9502)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9500), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9502))) | ~hBOOL(hAPP(_u9503, _u9500)) | hBOOL(hAPP(_u9503, skolem212(_u9503, _u9502))) | hBOOL(hAPP(_u9503, skolem207(_u9503, _u9502))) | ~hBOOL(hAPP(_u9503, skolem209(_u9503, _u9502))) )).
% 19.51/19.71 cnf(fact_periodic__finite__ex-10, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9502)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9500), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9502))) | ~hBOOL(hAPP(_u9503, _u9500)) | hBOOL(hAPP(_u9503, skolem212(_u9503, _u9502))) | hBOOL(hAPP(_u9503, skolem207(_u9503, _u9502))) | hBOOL(hAPP(_u9503, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem209(_u9503, _u9502)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem210(_u9503, _u9502)), _u9502)))) )).
% 19.51/19.71 cnf(fact_periodic__finite__ex-11, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9502)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9500), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9502))) | ~hBOOL(hAPP(_u9503, _u9500)) | hBOOL(hAPP(_u9503, skolem212(_u9503, _u9502))) | ~hBOOL(hAPP(_u9503, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem207(_u9503, _u9502)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem208(_u9503, _u9502)), _u9502)))) | ~hBOOL(hAPP(_u9503, skolem209(_u9503, _u9502))) )).
% 19.51/19.71 cnf(fact_periodic__finite__ex-12, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9502)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9500), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9502))) | ~hBOOL(hAPP(_u9503, _u9500)) | hBOOL(hAPP(_u9503, skolem212(_u9503, _u9502))) | ~hBOOL(hAPP(_u9503, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem207(_u9503, _u9502)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem208(_u9503, _u9502)), _u9502)))) | hBOOL(hAPP(_u9503, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem209(_u9503, _u9502)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem210(_u9503, _u9502)), _u9502)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_bset_I5_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_bset_I5_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9511)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9510), _u9513)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9510), _u9511)), _u9513)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem213(_u9513, _u9512, _u9511, _u9510)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9511))) )).
% 19.51/19.71 cnf(fact_bset_I5_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9511)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9510), _u9513)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9510), _u9511)), _u9513)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem214(_u9513, _u9512, _u9511, _u9510)), _u9512)) )).
% 19.51/19.71 cnf(fact_bset_I5_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9511)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9510), _u9513)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9510), _u9511)), _u9513)) | ( _u9510 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem214(_u9513, _u9512, _u9511, _u9510)), skolem213(_u9513, _u9512, _u9511, _u9510))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_aset_I7_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_aset_I7_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9517)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9519), _u9516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9519), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9516), _u9517))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem215(_u9519, _u9518, _u9517, _u9516)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9517))) )).
% 19.51/19.71 cnf(fact_aset_I7_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9517)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9519), _u9516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9519), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9516), _u9517))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem216(_u9519, _u9518, _u9517, _u9516)), _u9518)) )).
% 19.51/19.71 cnf(fact_aset_I7_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9517)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9519), _u9516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9519), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9516), _u9517))) | ( _u9516 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem216(_u9519, _u9518, _u9517, _u9516)), skolem215(_u9519, _u9518, _u9517, _u9516))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_card__greaterThanLessThan__int ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_card__greaterThanLessThan__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u9520, _u9521)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9521), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9520), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_finite__greaterThanLessThan__int ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_finite__greaterThanLessThan__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u9522, _u9523))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_greaterThanLessThan__empty ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_greaterThanLessThan__empty-1, axiom, ( ~class_Orderings_Oorder(_u9524) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9524), _u9525), _u9526)) | ( c_SetInterval_Oord__class_OgreaterThanLessThan(_u9524, _u9526, _u9525) = c_Orderings_Obot__class_Obot(tc_fun(_u9524, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__int_I12_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__int_I12_J-1, axiom, ( ~class_Orderings_Oorder(_u9527) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9527, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u9527, _u9528, _u9529)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9527, _u9529, _u9530)) = c_Orderings_Obot__class_Obot(tc_fun(_u9527, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__int_I13_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__int_I13_J-1, axiom, ( ~class_Orderings_Oorder(_u9531) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9531, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9531, _u9532, _u9533)), c_SetInterval_Oord__class_OatLeastAtMost(_u9531, _u9533, _u9534)) = c_Orderings_Obot__class_Obot(tc_fun(_u9531, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Int__greaterThanLessThan ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Int__greaterThanLessThan-1, axiom, ( ~class_Orderings_Olinorder(_u9535) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9535, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9535, _u9536, _u9537)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9535, _u9538, _u9539)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u9535, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9535), _u9536), _u9538), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9535), _u9537), _u9539))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__rpair__set ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__rpair__set-1, axiom, ( 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)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_max__rpair__set ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_max__rpair__set-1, axiom, ( 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)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__un_I19_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__un_I19_J-1, axiom, ( ~class_Orderings_Olinorder(_u9540) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9540), _u9541), _u9542)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9540), _u9542), _u9543)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9540, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9540, _u9541, _u9542)), c_SetInterval_Oord__class_OatLeastAtMost(_u9540, _u9542, _u9543)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u9540, _u9541, _u9543)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_less__than__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_less__than__iff-1, axiom, ( ~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), _u9546), _u9548)), c_Wellfounded_Oless__than)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9546), _u9548)) )).
% 19.51/19.71 cnf(fact_less__than__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9547), _u9549)) | 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), _u9547), _u9549)), c_Wellfounded_Oless__than)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_finite__greaterThanAtMost ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_finite__greaterThanAtMost-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u9550, _u9551))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_finite__greaterThanLessThan ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_finite__greaterThanLessThan-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u9552, _u9553))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_finite__greaterThanAtMost__int ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_finite__greaterThanAtMost__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u9554, _u9555))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_greaterThanAtMost__empty ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_greaterThanAtMost__empty-1, axiom, ( ~class_Orderings_Oorder(_u9556) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9556), _u9557), _u9558)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u9556, _u9558, _u9557) = c_Orderings_Obot__class_Obot(tc_fun(_u9556, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_greaterThanAtMost__empty__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_greaterThanAtMost__empty__iff-1, axiom, ( ~class_Orderings_Oorder(_u9559) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u9559, _u9560, _u9561) != c_Orderings_Obot__class_Obot(tc_fun(_u9559, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9559), _u9560), _u9561)) )).
% 19.51/19.71 cnf(fact_greaterThanAtMost__empty__iff-2, axiom, ( ~class_Orderings_Oorder(_u9559) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9559), _u9560), _u9561)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u9559, _u9560, _u9561) = c_Orderings_Obot__class_Obot(tc_fun(_u9559, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_greaterThanAtMost__empty__iff2 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_greaterThanAtMost__empty__iff2-1, axiom, ( ~class_Orderings_Oorder(_u9562) | ( c_Orderings_Obot__class_Obot(tc_fun(_u9562, tc_HOL_Obool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(_u9562, _u9563, _u9564)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9562), _u9563), _u9564)) )).
% 19.51/19.71 cnf(fact_greaterThanAtMost__empty__iff2-2, axiom, ( ~class_Orderings_Oorder(_u9562) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9562), _u9563), _u9564)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u9562, tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u9562, _u9563, _u9564)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__un_I20_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__un_I20_J-1, axiom, ( ~class_Orderings_Olinorder(_u9565) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9565), _u9566), _u9567)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9565), _u9567), _u9568)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9565, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u9565, _u9566, _u9567)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u9565, _u9567, _u9568)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u9565, _u9566, _u9568)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__int_I14_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__int_I14_J-1, axiom, ( ~class_Orderings_Oorder(_u9569) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9569, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u9569, _u9570, _u9571)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u9569, _u9571, _u9572)) = c_Orderings_Obot__class_Obot(tc_fun(_u9569, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atLeastSucAtMost__greaterThanAtMost ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atLeastSucAtMost__greaterThanAtMost-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9573), _u9574) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u9573, _u9574)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_pair__less__def ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_pair__less__def-1, axiom, ( ( c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_Nat_Onat, c_Wellfounded_Oless__than, c_Wellfounded_Oless__than)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_card__greaterThanAtMost ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_card__greaterThanAtMost-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u9575, _u9576)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9576), _u9575)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__un_I22_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__un_I22_J-1, axiom, ( ~class_Orderings_Olinorder(_u9577) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9577), _u9578), _u9579)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9577), _u9579), _u9580)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9577, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u9577, _u9578, _u9579)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u9577, _u9579, _u9580)) = c_SetInterval_Oord__class_OatLeastAtMost(_u9577, _u9578, _u9580)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atLeastPlusOneAtMost__greaterThanAtMost__int ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atLeastPlusOneAtMost__greaterThanAtMost__int-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9581), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u9582) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u9581, _u9582)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__int_I16_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__int_I16_J-1, axiom, ( ~class_Orderings_Oorder(_u9583) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9583, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u9583, _u9584, _u9585)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u9583, _u9585, _u9586)) = c_Orderings_Obot__class_Obot(tc_fun(_u9583, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Int__greaterThanAtMost ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Int__greaterThanAtMost-1, axiom, ( ~class_Orderings_Olinorder(_u9587) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9587, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u9587, _u9588, _u9589)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u9587, _u9590, _u9591)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u9587, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9587), _u9588), _u9590), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9587), _u9589), _u9591))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__int_I10_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__int_I10_J-1, axiom, ( ~class_Orderings_Oorder(_u9592) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9592, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u9592, _u9593, _u9594)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9592, _u9594, _u9595)) = c_Orderings_Obot__class_Obot(tc_fun(_u9592, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_card__greaterThanLessThan ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_card__greaterThanLessThan-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u9596, _u9597)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9597), hAPP(c_Nat_OSuc, _u9596))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_card__greaterThanAtMost__int ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_card__greaterThanAtMost__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u9598, _u9599)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9599), _u9598))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__un_I16_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__un_I16_J-1, axiom, ( ~class_Orderings_Olinorder(_u9600) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9600), _u9601), _u9602)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9600), _u9602), _u9603)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9600, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u9600, _u9601, _u9602)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9600, _u9602, _u9603)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u9600, _u9601, _u9603)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_setsum__head ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_setsum__head-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9604) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9605), _u9606)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9604), _u9607), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u9605, _u9606)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9604), hAPP(_u9607, _u9605)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9604), _u9607), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u9605, _u9606)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__un_I5_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__un_I5_J-1, axiom, ( ~class_Orderings_Olinorder(_u9608) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9608), _u9609), _u9610)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9608, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9608), _u9609), c_Orderings_Obot__class_Obot(tc_fun(_u9608, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanAtMost(_u9608, _u9609, _u9610)) = c_SetInterval_Oord__class_OatLeastAtMost(_u9608, _u9609, _u9610)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__un_I4_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__un_I4_J-1, axiom, ( ~class_Orderings_Olinorder(_u9611) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9611), _u9612), _u9613)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9611, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9611, _u9612, _u9613)), hAPP(hAPP(c_Set_Oinsert(_u9611), _u9613), c_Orderings_Obot__class_Obot(tc_fun(_u9611, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u9611, _u9612, _u9613)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_mlex__prod__def ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_mlex__prod__def-1, axiom, ( ( c_Wellfounded_Omlex__prod(_u9614, _u9615, _u9616) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, _u9614), _u9614), c_Wellfounded_Olex__prod(tc_Nat_Onat, _u9614, c_Wellfounded_Oless__than, _u9616)), hAPP(hAPP(c_COMBS(_u9614, _u9614, tc_prod(tc_Nat_Onat, _u9614)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u9614, tc_prod(tc_Nat_Onat, _u9614)), _u9614), c_Product__Type_OPair(tc_Nat_Onat, _u9614)), _u9615)), c_COMBI(_u9614)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_intrel__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_intrel__iff-1, axiom, ( ~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)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u9621), _u9623)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u9625), _u9627))), c_Int_Ointrel)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9621), _u9627) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9625), _u9623)) )).
% 19.51/19.71 cnf(fact_intrel__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9622), _u9628) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9626), _u9624)) | 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)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u9622), _u9624)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u9626), _u9628))), c_Int_Ointrel)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_rp__inv__image__rp ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_rp__inv__image__rp-1, axiom, ( ~c_FunDef_Oreduction__pair(_u9629, _u9630) | c_FunDef_Oreduction__pair(_u9631, hAPP(hAPP(c_FunDef_Orp__inv__image(_u9629, _u9631), _u9630), _u9632)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_SUPR__fold__sup ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_SUPR__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9633) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9634), _u9635)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9634, _u9633), _u9635), _u9636) = hAPP(hAPP(c_Finite__Set_Ofold(_u9634, _u9633, hAPP(hAPP(c_COMBB(_u9633, tc_fun(_u9633, _u9633), _u9634), c_Lattices_Osemilattice__sup__class_Osup(_u9633)), _u9636)), c_Orderings_Obot__class_Obot(_u9633)), _u9635)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__I ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9637), _u9638), _u9639)) | ~hBOOL(hAPP(hAPP(c_member(_u9640), _u9641), hAPP(_u9642, _u9638))) | hBOOL(hAPP(hAPP(c_member(_u9640), _u9641), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9637, tc_fun(_u9640, tc_HOL_Obool)), _u9639), _u9642))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_SUP1__I ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_SUP1__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9643), _u9644), _u9645)) | ~hBOOL(hAPP(hAPP(_u9646, _u9644), _u9647)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9643, tc_fun(_u9648, tc_HOL_Obool)), _u9645), _u9646), _u9647)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_SUP2__I ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_SUP2__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9649), _u9650), _u9651)) | ~hBOOL(hAPP(hAPP(hAPP(_u9652, _u9650), _u9653), _u9654)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9649, tc_fun(_u9655, tc_fun(_u9656, tc_HOL_Obool))), _u9651), _u9652), _u9653), _u9654)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UNION__empty__conv_I2_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UNION__empty__conv_I2_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9663, tc_fun(_u9665, tc_HOL_Obool)), _u9667), _u9669) != c_Orderings_Obot__class_Obot(tc_fun(_u9665, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9663), _u9657), _u9667)) | ( hAPP(_u9669, _u9657) = c_Orderings_Obot__class_Obot(tc_fun(_u9665, tc_HOL_Obool))) )).
% 19.51/19.71 cnf(fact_UNION__empty__conv_I2_J-2, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9664, tc_fun(_u9666, tc_HOL_Obool)), _u9668), _u9670) = c_Orderings_Obot__class_Obot(tc_fun(_u9666, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u9664), skolem217(_u9670, _u9668, _u9666, _u9664)), _u9668)) )).
% 19.51/19.71 cnf(fact_UNION__empty__conv_I2_J-3, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9664, tc_fun(_u9666, tc_HOL_Obool)), _u9668), _u9670) = c_Orderings_Obot__class_Obot(tc_fun(_u9666, tc_HOL_Obool))) | ( hAPP(_u9670, skolem217(_u9670, _u9668, _u9666, _u9664)) != c_Orderings_Obot__class_Obot(tc_fun(_u9666, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__constant ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__constant-1, axiom, ( ( _u9675 != c_Orderings_Obot__class_Obot(tc_fun(_u9677, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9677, tc_fun(_u9679, tc_HOL_Obool)), _u9675), hAPP(c_COMBK(tc_fun(_u9679, tc_HOL_Obool), _u9677), _u9681)) = c_Orderings_Obot__class_Obot(tc_fun(_u9679, tc_HOL_Obool))) )).
% 19.51/19.71 cnf(fact_UN__constant-2, axiom, ( ( _u9676 = c_Orderings_Obot__class_Obot(tc_fun(_u9678, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9678, tc_fun(_u9680, tc_HOL_Obool)), _u9676), hAPP(c_COMBK(tc_fun(_u9680, tc_HOL_Obool), _u9678), _u9682)) = _u9682) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__empty2 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__empty2-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9683, tc_fun(_u9684, tc_HOL_Obool)), _u9685), hAPP(c_COMBK(tc_fun(_u9684, tc_HOL_Obool), _u9683), c_Orderings_Obot__class_Obot(tc_fun(_u9684, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9684, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UNION__empty__conv_I1_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UNION__empty__conv_I1_J-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u9692, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9694, tc_fun(_u9692, tc_HOL_Obool)), _u9696), _u9698)) | ~hBOOL(hAPP(hAPP(c_member(_u9694), _u9686), _u9696)) | ( hAPP(_u9698, _u9686) = c_Orderings_Obot__class_Obot(tc_fun(_u9692, tc_HOL_Obool))) )).
% 19.51/19.71 cnf(fact_UNION__empty__conv_I1_J-2, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u9693, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9695, tc_fun(_u9693, tc_HOL_Obool)), _u9697), _u9699)) | hBOOL(hAPP(hAPP(c_member(_u9695), skolem218(_u9699, _u9697, _u9695, _u9693)), _u9697)) )).
% 19.51/19.71 cnf(fact_UNION__empty__conv_I1_J-3, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u9693, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9695, tc_fun(_u9693, tc_HOL_Obool)), _u9697), _u9699)) | ( hAPP(_u9699, skolem218(_u9699, _u9697, _u9695, _u9693)) != c_Orderings_Obot__class_Obot(tc_fun(_u9693, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_finite__UN ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_finite__UN-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9702), _u9703)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9704), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9702, tc_fun(_u9704, tc_HOL_Obool)), _u9703), _u9705))) | ~hBOOL(hAPP(hAPP(c_member(_u9702), _u9700), _u9703)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9704), hAPP(_u9705, _u9700))) )).
% 19.51/19.71 cnf(fact_finite__UN-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9702), _u9703)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9704), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9702, tc_fun(_u9704, tc_HOL_Obool)), _u9703), _u9705))) | hBOOL(hAPP(hAPP(c_member(_u9702), skolem219(_u9705, _u9704, _u9703, _u9702)), _u9703)) )).
% 19.51/19.71 cnf(fact_finite__UN-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9702), _u9703)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9704), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9702, tc_fun(_u9704, tc_HOL_Obool)), _u9703), _u9705))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9704), hAPP(_u9705, skolem219(_u9705, _u9704, _u9703, _u9702)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__Un ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__Un-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9706, tc_fun(_u9707, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9706, tc_HOL_Obool)), _u9708), _u9709)), _u9710) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9707, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9706, tc_fun(_u9707, tc_HOL_Obool)), _u9708), _u9710)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9706, tc_fun(_u9707, tc_HOL_Obool)), _u9709), _u9710))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__Un__distrib ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__Un__distrib-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9711, tc_fun(_u9712, tc_HOL_Obool)), _u9713), hAPP(hAPP(c_COMBS(_u9711, tc_fun(_u9712, tc_HOL_Obool), tc_fun(_u9712, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9712, tc_HOL_Obool), tc_fun(tc_fun(_u9712, tc_HOL_Obool), tc_fun(_u9712, tc_HOL_Obool)), _u9711), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9712, tc_HOL_Obool))), _u9714)), _u9715)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9712, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9711, tc_fun(_u9712, tc_HOL_Obool)), _u9713), _u9714)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9711, tc_fun(_u9712, tc_HOL_Obool)), _u9713), _u9715))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9723), _u9725), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9727, tc_fun(_u9723, tc_HOL_Obool)), _u9729), _u9731))) | hBOOL(hAPP(hAPP(c_member(_u9727), skolem220(_u9731, _u9729, _u9727, _u9725, _u9723)), _u9729)) )).
% 19.51/19.71 cnf(fact_UN__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9723), _u9725), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9727, tc_fun(_u9723, tc_HOL_Obool)), _u9729), _u9731))) | hBOOL(hAPP(hAPP(c_member(_u9723), _u9725), hAPP(_u9731, skolem220(_u9731, _u9729, _u9727, _u9725, _u9723)))) )).
% 19.51/19.71 cnf(fact_UN__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9728), _u9717), _u9730)) | ~hBOOL(hAPP(hAPP(c_member(_u9724), _u9726), hAPP(_u9732, _u9717))) | hBOOL(hAPP(hAPP(c_member(_u9724), _u9726), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9728, tc_fun(_u9724, tc_HOL_Obool)), _u9730), _u9732))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INT__extend__simps_I9_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INT__extend__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9733, tc_fun(_u9734, tc_HOL_Obool)), _u9735), hAPP(hAPP(c_COMBC(_u9733, tc_fun(_u9736, tc_fun(_u9734, tc_HOL_Obool)), tc_fun(_u9734, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9736, tc_HOL_Obool), tc_fun(tc_fun(_u9736, tc_fun(_u9734, tc_HOL_Obool)), tc_fun(_u9734, tc_HOL_Obool)), _u9733), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9736, tc_fun(_u9734, tc_HOL_Obool))), _u9737)), _u9738)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9736, tc_fun(_u9734, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9733, tc_fun(_u9736, tc_HOL_Obool)), _u9735), _u9737)), _u9738)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INT__simps_I9_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INT__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9739, tc_fun(_u9740, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9741, tc_fun(_u9739, tc_HOL_Obool)), _u9742), _u9743)), _u9744) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9741, tc_fun(_u9740, tc_HOL_Obool)), _u9742), hAPP(hAPP(c_COMBC(_u9741, tc_fun(_u9739, tc_fun(_u9740, tc_HOL_Obool)), tc_fun(_u9740, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9739, tc_HOL_Obool), tc_fun(tc_fun(_u9739, tc_fun(_u9740, tc_HOL_Obool)), tc_fun(_u9740, tc_HOL_Obool)), _u9741), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9739, tc_fun(_u9740, tc_HOL_Obool))), _u9743)), _u9744))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__extend__simps_I6_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__extend__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9745, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9746, tc_fun(_u9745, tc_HOL_Obool)), _u9747), _u9748)), _u9749) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9746, tc_fun(_u9745, tc_HOL_Obool)), _u9747), hAPP(hAPP(c_COMBC(_u9746, tc_fun(_u9745, tc_HOL_Obool), tc_fun(_u9745, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9745, tc_HOL_Obool), tc_fun(tc_fun(_u9745, tc_HOL_Obool), tc_fun(_u9745, tc_HOL_Obool)), _u9746), c_Groups_Ominus__class_Ominus(tc_fun(_u9745, tc_HOL_Obool))), _u9748)), _u9749))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__simps_I6_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9750, tc_fun(_u9751, tc_HOL_Obool)), _u9752), hAPP(hAPP(c_COMBC(_u9750, tc_fun(_u9751, tc_HOL_Obool), tc_fun(_u9751, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9751, tc_HOL_Obool), tc_fun(tc_fun(_u9751, tc_HOL_Obool), tc_fun(_u9751, tc_HOL_Obool)), _u9750), c_Groups_Ominus__class_Ominus(tc_fun(_u9751, tc_HOL_Obool))), _u9753)), _u9754)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9751, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9750, tc_fun(_u9751, tc_HOL_Obool)), _u9752), _u9753)), _u9754)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__Pow__subset ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__Pow__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u9755, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9756, tc_fun(tc_fun(_u9755, tc_HOL_Obool), tc_HOL_Obool)), _u9757), hAPP(hAPP(c_COMBB(tc_fun(_u9755, tc_HOL_Obool), tc_fun(tc_fun(_u9755, tc_HOL_Obool), tc_HOL_Obool), _u9756), c_Set_OPow(_u9755)), _u9758))), hAPP(c_Set_OPow(_u9755), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9756, tc_fun(_u9755, tc_HOL_Obool)), _u9757), _u9758)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_SUP__commute ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_SUP__commute-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9759) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9760, _u9759), _u9761), hAPP(hAPP(c_COMBB(tc_fun(_u9762, _u9759), _u9759, _u9760), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9762, _u9759), _u9763)), _u9764)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9762, _u9759), _u9763), hAPP(hAPP(c_COMBB(tc_fun(_u9760, _u9759), _u9759, _u9762), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9760, _u9759), _u9761)), hAPP(c_COMBC(_u9760, _u9762, _u9759), _u9764)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_SUPR__apply ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_SUPR__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9765) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9766, tc_fun(_u9767, _u9765)), _u9768), _u9769), _u9770) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9766, _u9765), _u9768), hAPP(hAPP(c_COMBC(_u9766, _u9767, _u9765), _u9769), _u9770))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__simps_I8_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9771, tc_fun(_u9772, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9771, tc_HOL_Obool), _u9773)), _u9774) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9771, tc_HOL_Obool), tc_fun(_u9772, tc_HOL_Obool)), _u9773), hAPP(hAPP(c_COMBC(tc_fun(_u9771, tc_HOL_Obool), tc_fun(_u9771, tc_fun(_u9772, tc_HOL_Obool)), tc_fun(_u9772, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9771, tc_fun(_u9772, tc_HOL_Obool))), _u9774))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__extend__simps_I8_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__extend__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9775, tc_HOL_Obool), tc_fun(_u9776, tc_HOL_Obool)), _u9777), hAPP(hAPP(c_COMBC(tc_fun(_u9775, tc_HOL_Obool), tc_fun(_u9775, tc_fun(_u9776, tc_HOL_Obool)), tc_fun(_u9776, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9775, tc_fun(_u9776, tc_HOL_Obool))), _u9778)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9775, tc_fun(_u9776, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9775, tc_HOL_Obool), _u9777)), _u9778)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__simps_I5_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9779, tc_fun(_u9780, tc_HOL_Obool)), _u9781), hAPP(hAPP(c_COMBB(tc_fun(_u9780, tc_HOL_Obool), tc_fun(_u9780, tc_HOL_Obool), _u9779), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9780, tc_HOL_Obool)), _u9782)), _u9783)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9780, tc_HOL_Obool)), _u9782), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9779, tc_fun(_u9780, tc_HOL_Obool)), _u9781), _u9783))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__simps_I4_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__simps_I4_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9784, tc_fun(_u9785, tc_HOL_Obool)), _u9786), hAPP(hAPP(c_COMBC(_u9784, tc_fun(_u9785, tc_HOL_Obool), tc_fun(_u9785, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9785, tc_HOL_Obool), tc_fun(tc_fun(_u9785, tc_HOL_Obool), tc_fun(_u9785, tc_HOL_Obool)), _u9784), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9785, tc_HOL_Obool))), _u9787)), _u9788)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9785, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9784, tc_fun(_u9785, tc_HOL_Obool)), _u9786), _u9787)), _u9788)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__extend__simps_I5_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__extend__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9789, tc_HOL_Obool)), _u9790), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9791, tc_fun(_u9789, tc_HOL_Obool)), _u9792), _u9793)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9791, tc_fun(_u9789, tc_HOL_Obool)), _u9792), hAPP(hAPP(c_COMBB(tc_fun(_u9789, tc_HOL_Obool), tc_fun(_u9789, tc_HOL_Obool), _u9791), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9789, tc_HOL_Obool)), _u9790)), _u9793))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Int__UN__distrib ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Int__UN__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9794, tc_HOL_Obool)), _u9795), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9796, tc_fun(_u9794, tc_HOL_Obool)), _u9797), _u9798)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9796, tc_fun(_u9794, tc_HOL_Obool)), _u9797), hAPP(hAPP(c_COMBB(tc_fun(_u9794, tc_HOL_Obool), tc_fun(_u9794, tc_HOL_Obool), _u9796), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9794, tc_HOL_Obool)), _u9795)), _u9798))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__extend__simps_I4_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__extend__simps_I4_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9799, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9800, tc_fun(_u9799, tc_HOL_Obool)), _u9801), _u9802)), _u9803) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9800, tc_fun(_u9799, tc_HOL_Obool)), _u9801), hAPP(hAPP(c_COMBC(_u9800, tc_fun(_u9799, tc_HOL_Obool), tc_fun(_u9799, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9799, tc_HOL_Obool), tc_fun(tc_fun(_u9799, tc_HOL_Obool), tc_fun(_u9799, tc_HOL_Obool)), _u9800), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9799, tc_HOL_Obool))), _u9802)), _u9803))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Int__UN__distrib2 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Int__UN__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9804, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9805, tc_fun(_u9804, tc_HOL_Obool)), _u9806), _u9807)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9808, tc_fun(_u9804, tc_HOL_Obool)), _u9809), _u9810)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9805, tc_fun(_u9804, tc_HOL_Obool)), _u9806), hAPP(hAPP(c_COMBB(tc_fun(_u9808, tc_fun(_u9804, tc_HOL_Obool)), tc_fun(_u9804, tc_HOL_Obool), _u9805), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9808, tc_fun(_u9804, tc_HOL_Obool)), _u9809)), hAPP(hAPP(c_COMBC(_u9805, tc_fun(_u9808, tc_fun(_u9804, tc_HOL_Obool)), tc_fun(_u9808, tc_fun(_u9804, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9804, tc_HOL_Obool), tc_fun(_u9804, tc_HOL_Obool)), tc_fun(tc_fun(_u9808, tc_fun(_u9804, tc_HOL_Obool)), tc_fun(_u9808, tc_fun(_u9804, tc_HOL_Obool))), _u9805), c_COMBB(tc_fun(_u9804, tc_HOL_Obool), tc_fun(_u9804, tc_HOL_Obool), _u9808)), hAPP(hAPP(c_COMBB(tc_fun(_u9804, tc_HOL_Obool), tc_fun(tc_fun(_u9804, tc_HOL_Obool), tc_fun(_u9804, tc_HOL_Obool)), _u9805), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9804, tc_HOL_Obool))), _u9807))), _u9810)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__subset__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__subset__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9818, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9820, tc_fun(_u9818, tc_HOL_Obool)), _u9822), _u9824)), _u9826)) | ~hBOOL(hAPP(hAPP(c_member(_u9820), _u9811), _u9822)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9818, tc_HOL_Obool)), hAPP(_u9824, _u9811)), _u9826)) )).
% 19.51/19.71 cnf(fact_UN__subset__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9819, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9821, tc_fun(_u9819, tc_HOL_Obool)), _u9823), _u9825)), _u9827)) | hBOOL(hAPP(hAPP(c_member(_u9821), skolem221(_u9827, _u9825, _u9823, _u9821, _u9819)), _u9823)) )).
% 19.51/19.71 cnf(fact_UN__subset__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9819, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9821, tc_fun(_u9819, tc_HOL_Obool)), _u9823), _u9825)), _u9827)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9819, tc_HOL_Obool)), hAPP(_u9825, skolem221(_u9827, _u9825, _u9823, _u9821, _u9819))), _u9827)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Union__def ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Union__def-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9828, tc_HOL_Obool), _u9829) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9828, tc_HOL_Obool), tc_fun(_u9828, tc_HOL_Obool)), _u9829), c_COMBI(tc_fun(_u9828, tc_HOL_Obool)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_SUP__UN__eq2 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_SUP__UN__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9836, tc_fun(_u9838, tc_fun(_u9840, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u9836, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u9838, _u9840), tc_HOL_Obool), tc_fun(_u9838, tc_fun(_u9840, tc_HOL_Obool)), _u9836), hAPP(c_COMBC(_u9838, tc_fun(tc_prod(_u9838, _u9840), tc_HOL_Obool), tc_fun(_u9840, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9840, tc_fun(tc_fun(tc_prod(_u9838, _u9840), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9838, _u9840), tc_HOL_Obool), tc_fun(_u9840, tc_HOL_Obool)), _u9838), c_COMBC(_u9840, tc_fun(tc_prod(_u9838, _u9840), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9840, tc_prod(_u9838, _u9840)), tc_fun(_u9840, tc_fun(tc_fun(tc_prod(_u9838, _u9840), tc_HOL_Obool), tc_HOL_Obool)), _u9838), hAPP(c_COMBB(tc_prod(_u9838, _u9840), tc_fun(tc_fun(tc_prod(_u9838, _u9840), tc_HOL_Obool), tc_HOL_Obool), _u9840), c_member(tc_prod(_u9838, _u9840)))), c_Product__Type_OPair(_u9838, _u9840))))), _u9842)), _u9844), _u9846)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u9838, _u9840)), hAPP(hAPP(c_Product__Type_OPair(_u9838, _u9840), _u9844), _u9846)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9836, tc_fun(tc_prod(_u9838, _u9840), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9836, tc_HOL_Obool))), _u9842))) )).
% 19.51/19.71 cnf(fact_SUP__UN__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9839, _u9841)), hAPP(hAPP(c_Product__Type_OPair(_u9839, _u9841), _u9845), _u9847)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9837, tc_fun(tc_prod(_u9839, _u9841), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9837, tc_HOL_Obool))), _u9843))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9837, tc_fun(_u9839, tc_fun(_u9841, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u9837, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u9839, _u9841), tc_HOL_Obool), tc_fun(_u9839, tc_fun(_u9841, tc_HOL_Obool)), _u9837), hAPP(c_COMBC(_u9839, tc_fun(tc_prod(_u9839, _u9841), tc_HOL_Obool), tc_fun(_u9841, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9841, tc_fun(tc_fun(tc_prod(_u9839, _u9841), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9839, _u9841), tc_HOL_Obool), tc_fun(_u9841, tc_HOL_Obool)), _u9839), c_COMBC(_u9841, tc_fun(tc_prod(_u9839, _u9841), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9841, tc_prod(_u9839, _u9841)), tc_fun(_u9841, tc_fun(tc_fun(tc_prod(_u9839, _u9841), tc_HOL_Obool), tc_HOL_Obool)), _u9839), hAPP(c_COMBB(tc_prod(_u9839, _u9841), tc_fun(tc_fun(tc_prod(_u9839, _u9841), tc_HOL_Obool), tc_HOL_Obool), _u9841), c_member(tc_prod(_u9839, _u9841)))), c_Product__Type_OPair(_u9839, _u9841))))), _u9843)), _u9845), _u9847)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_SUP__le__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_SUP__le__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9850) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9850), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9851, _u9850), _u9852), _u9853)), _u9854)) | ~hBOOL(hAPP(hAPP(c_member(_u9851), _u9848), _u9852)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9850), hAPP(_u9853, _u9848)), _u9854)) )).
% 19.51/19.71 cnf(fact_SUP__le__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9850) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9850), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9851, _u9850), _u9852), _u9853)), _u9854)) | hBOOL(hAPP(hAPP(c_member(_u9851), skolem222(_u9854, _u9853, _u9852, _u9851, _u9850)), _u9852)) )).
% 19.51/19.71 cnf(fact_SUP__le__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9850) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9850), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9851, _u9850), _u9852), _u9853)), _u9854)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9850), hAPP(_u9853, skolem222(_u9854, _u9853, _u9852, _u9851, _u9850))), _u9854)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_less__SUP__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_less__SUP__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9857) | ~class_Orderings_Olinorder(_u9857) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9857), _u9858), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9859, _u9857), _u9860), _u9861))) | hBOOL(hAPP(hAPP(c_member(_u9859), skolem223(_u9861, _u9860, _u9859, _u9858, _u9857)), _u9860)) )).
% 19.51/19.71 cnf(fact_less__SUP__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9857) | ~class_Orderings_Olinorder(_u9857) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9857), _u9858), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9859, _u9857), _u9860), _u9861))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9857), _u9858), hAPP(_u9861, skolem223(_u9861, _u9860, _u9859, _u9858, _u9857)))) )).
% 19.51/19.71 cnf(fact_less__SUP__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9857) | ~class_Orderings_Olinorder(_u9857) | ~hBOOL(hAPP(hAPP(c_member(_u9859), _u9856), _u9860)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9857), _u9858), hAPP(_u9861, _u9856))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9857), _u9858), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9859, _u9857), _u9860), _u9861))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_SUP__const ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_SUP__const-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9862) | ( _u9863 = c_Orderings_Obot__class_Obot(tc_fun(_u9864, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9864, _u9862), _u9863), hAPP(c_COMBK(_u9862, _u9864), _u9865)) = _u9865) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__insert__distrib ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__insert__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9866), _u9867), _u9868)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9866, tc_fun(_u9869, tc_HOL_Obool)), _u9868), hAPP(hAPP(c_COMBB(tc_fun(_u9869, tc_HOL_Obool), tc_fun(_u9869, tc_HOL_Obool), _u9866), hAPP(c_Set_Oinsert(_u9869), _u9870)), _u9871)) = hAPP(hAPP(c_Set_Oinsert(_u9869), _u9870), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9866, tc_fun(_u9869, tc_HOL_Obool)), _u9868), _u9871))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__upper ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__upper-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9872), _u9873), _u9874)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9875, tc_HOL_Obool)), hAPP(_u9876, _u9873)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9872, tc_fun(_u9875, tc_HOL_Obool)), _u9874), _u9876))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_SUP__UN__eq ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_SUP__UN__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9881, tc_fun(_u9883, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9881, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9883, tc_HOL_Obool), tc_fun(_u9883, tc_HOL_Obool), _u9881), hAPP(c_COMBC(_u9883, tc_fun(_u9883, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9883))), _u9885)), _u9887)) | hBOOL(hAPP(hAPP(c_member(_u9883), _u9887), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9881, tc_fun(_u9883, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9881, tc_HOL_Obool))), _u9885))) )).
% 19.51/19.71 cnf(fact_SUP__UN__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9884), _u9888), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9882, tc_fun(_u9884, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9882, tc_HOL_Obool))), _u9886))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9882, tc_fun(_u9884, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9882, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9884, tc_HOL_Obool), tc_fun(_u9884, tc_HOL_Obool), _u9882), hAPP(c_COMBC(_u9884, tc_fun(_u9884, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9884))), _u9886)), _u9888)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__absorb ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9889), _u9890), _u9891)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9892, tc_HOL_Obool)), hAPP(_u9893, _u9890)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9889, tc_fun(_u9892, tc_HOL_Obool)), _u9891), _u9893)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9889, tc_fun(_u9892, tc_HOL_Obool)), _u9891), _u9893)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__simps_I1_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__simps_I1_J-1, axiom, ( ( _u9899 != c_Orderings_Obot__class_Obot(tc_fun(_u9901, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9901, tc_fun(_u9903, tc_HOL_Obool)), _u9899), hAPP(hAPP(c_COMBB(tc_fun(_u9903, tc_HOL_Obool), tc_fun(_u9903, tc_HOL_Obool), _u9901), hAPP(c_Set_Oinsert(_u9903), _u9905)), _u9907)) = c_Orderings_Obot__class_Obot(tc_fun(_u9903, tc_HOL_Obool))) )).
% 19.51/19.71 cnf(fact_UN__simps_I1_J-2, axiom, ( ( _u9900 = c_Orderings_Obot__class_Obot(tc_fun(_u9902, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9902, tc_fun(_u9904, tc_HOL_Obool)), _u9900), hAPP(hAPP(c_COMBB(tc_fun(_u9904, tc_HOL_Obool), tc_fun(_u9904, tc_HOL_Obool), _u9902), hAPP(c_Set_Oinsert(_u9904), _u9906)), _u9908)) = hAPP(hAPP(c_Set_Oinsert(_u9904), _u9906), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9902, tc_fun(_u9904, tc_HOL_Obool)), _u9900), _u9908))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__singleton ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__singleton-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9909, tc_fun(_u9909, tc_HOL_Obool)), _u9910), hAPP(hAPP(c_COMBC(_u9909, tc_fun(_u9909, tc_HOL_Obool), tc_fun(_u9909, tc_HOL_Obool)), c_Set_Oinsert(_u9909)), c_Orderings_Obot__class_Obot(tc_fun(_u9909, tc_HOL_Obool)))) = _u9910) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__extend__simps_I1_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__extend__simps_I1_J-1, axiom, ( ( _u9916 != c_Orderings_Obot__class_Obot(tc_fun(_u9918, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u9920), _u9922), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9918, tc_fun(_u9920, tc_HOL_Obool)), _u9916), _u9924)) = hAPP(hAPP(c_Set_Oinsert(_u9920), _u9922), c_Orderings_Obot__class_Obot(tc_fun(_u9920, tc_HOL_Obool)))) )).
% 19.51/19.71 cnf(fact_UN__extend__simps_I1_J-2, axiom, ( ( _u9917 = c_Orderings_Obot__class_Obot(tc_fun(_u9919, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u9921), _u9923), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9919, tc_fun(_u9921, tc_HOL_Obool)), _u9917), _u9925)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9919, tc_fun(_u9921, tc_HOL_Obool)), _u9917), hAPP(hAPP(c_COMBB(tc_fun(_u9921, tc_HOL_Obool), tc_fun(_u9921, tc_HOL_Obool), _u9919), hAPP(c_Set_Oinsert(_u9921), _u9923)), _u9925))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__simps_I3_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__simps_I3_J-1, axiom, ( ( _u9931 != c_Orderings_Obot__class_Obot(tc_fun(_u9933, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9933, tc_fun(_u9935, tc_HOL_Obool)), _u9931), hAPP(hAPP(c_COMBB(tc_fun(_u9935, tc_HOL_Obool), tc_fun(_u9935, tc_HOL_Obool), _u9933), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9935, tc_HOL_Obool)), _u9937)), _u9939)) = c_Orderings_Obot__class_Obot(tc_fun(_u9935, tc_HOL_Obool))) )).
% 19.51/19.71 cnf(fact_UN__simps_I3_J-2, axiom, ( ( _u9932 = c_Orderings_Obot__class_Obot(tc_fun(_u9934, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9934, tc_fun(_u9936, tc_HOL_Obool)), _u9932), hAPP(hAPP(c_COMBB(tc_fun(_u9936, tc_HOL_Obool), tc_fun(_u9936, tc_HOL_Obool), _u9934), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9936, tc_HOL_Obool)), _u9938)), _u9940)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9936, tc_HOL_Obool)), _u9938), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9934, tc_fun(_u9936, tc_HOL_Obool)), _u9932), _u9940))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__simps_I2_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__simps_I2_J-1, axiom, ( ( _u9946 != c_Orderings_Obot__class_Obot(tc_fun(_u9948, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9948, tc_fun(_u9950, tc_HOL_Obool)), _u9946), hAPP(hAPP(c_COMBC(_u9948, tc_fun(_u9950, tc_HOL_Obool), tc_fun(_u9950, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9950, tc_HOL_Obool), tc_fun(tc_fun(_u9950, tc_HOL_Obool), tc_fun(_u9950, tc_HOL_Obool)), _u9948), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9950, tc_HOL_Obool))), _u9952)), _u9954)) = c_Orderings_Obot__class_Obot(tc_fun(_u9950, tc_HOL_Obool))) )).
% 19.51/19.71 cnf(fact_UN__simps_I2_J-2, axiom, ( ( _u9947 = c_Orderings_Obot__class_Obot(tc_fun(_u9949, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9949, tc_fun(_u9951, tc_HOL_Obool)), _u9947), hAPP(hAPP(c_COMBC(_u9949, tc_fun(_u9951, tc_HOL_Obool), tc_fun(_u9951, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9951, tc_HOL_Obool), tc_fun(tc_fun(_u9951, tc_HOL_Obool), tc_fun(_u9951, tc_HOL_Obool)), _u9949), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9951, tc_HOL_Obool))), _u9953)), _u9955)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9951, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9949, tc_fun(_u9951, tc_HOL_Obool)), _u9947), _u9953)), _u9955)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__extend__simps_I3_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__extend__simps_I3_J-1, axiom, ( ( _u9961 != c_Orderings_Obot__class_Obot(tc_fun(_u9963, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9965, tc_HOL_Obool)), _u9967), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9963, tc_fun(_u9965, tc_HOL_Obool)), _u9961), _u9969)) = _u9967) )).
% 19.51/19.71 cnf(fact_UN__extend__simps_I3_J-2, axiom, ( ( _u9962 = c_Orderings_Obot__class_Obot(tc_fun(_u9964, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9966, tc_HOL_Obool)), _u9968), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9964, tc_fun(_u9966, tc_HOL_Obool)), _u9962), _u9970)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9964, tc_fun(_u9966, tc_HOL_Obool)), _u9962), hAPP(hAPP(c_COMBB(tc_fun(_u9966, tc_HOL_Obool), tc_fun(_u9966, tc_HOL_Obool), _u9964), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9966, tc_HOL_Obool)), _u9968)), _u9970))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__extend__simps_I2_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__extend__simps_I2_J-1, axiom, ( ( _u9976 != c_Orderings_Obot__class_Obot(tc_fun(_u9978, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9980, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9978, tc_fun(_u9980, tc_HOL_Obool)), _u9976), _u9982)), _u9984) = _u9984) )).
% 19.51/19.71 cnf(fact_UN__extend__simps_I2_J-2, axiom, ( ( _u9977 = c_Orderings_Obot__class_Obot(tc_fun(_u9979, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9981, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9979, tc_fun(_u9981, tc_HOL_Obool)), _u9977), _u9983)), _u9985) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9979, tc_fun(_u9981, tc_HOL_Obool)), _u9977), hAPP(hAPP(c_COMBC(_u9979, tc_fun(_u9981, tc_HOL_Obool), tc_fun(_u9981, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9981, tc_HOL_Obool), tc_fun(tc_fun(_u9981, tc_HOL_Obool), tc_fun(_u9981, tc_HOL_Obool)), _u9979), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9981, tc_HOL_Obool))), _u9983)), _u9985))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__insert ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__insert-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9986, tc_fun(_u9987, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9986), _u9988), _u9989)), _u9990) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9987, tc_HOL_Obool)), hAPP(_u9990, _u9988)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9986, tc_fun(_u9987, tc_HOL_Obool)), _u9989), _u9990))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__simps_I7_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9991, tc_fun(_u9992, tc_HOL_Obool)), _u9993), hAPP(hAPP(c_COMBB(tc_fun(_u9992, tc_HOL_Obool), tc_fun(_u9992, tc_HOL_Obool), _u9991), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9992, tc_HOL_Obool)), _u9994)), _u9995)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9992, tc_HOL_Obool)), _u9994), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9991, tc_fun(_u9992, tc_HOL_Obool)), _u9993), _u9995))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__extend__simps_I7_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__extend__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9996, tc_HOL_Obool)), _u9997), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9998, tc_fun(_u9996, tc_HOL_Obool)), _u9999), _u10000)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9998, tc_fun(_u9996, tc_HOL_Obool)), _u9999), hAPP(hAPP(c_COMBB(tc_fun(_u9996, tc_HOL_Obool), tc_fun(_u9996, tc_HOL_Obool), _u9998), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9996, tc_HOL_Obool)), _u9997)), _u10000))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Int__Union2 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Int__Union2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10001, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10001, tc_HOL_Obool), _u10002)), _u10003) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u10001, tc_HOL_Obool), tc_fun(_u10001, tc_HOL_Obool)), _u10002), hAPP(hAPP(c_COMBC(tc_fun(_u10001, tc_HOL_Obool), tc_fun(_u10001, tc_HOL_Obool), tc_fun(_u10001, tc_HOL_Obool)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10001, tc_HOL_Obool))), _u10003))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Int__Union ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Int__Union-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10004, tc_HOL_Obool)), _u10005), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10004, tc_HOL_Obool), _u10006)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u10004, tc_HOL_Obool), tc_fun(_u10004, tc_HOL_Obool)), _u10006), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10004, tc_HOL_Obool)), _u10005))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Compl__INT ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Compl__INT-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u10007, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10008, tc_fun(_u10007, tc_HOL_Obool)), _u10009), _u10010)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10008, tc_fun(_u10007, tc_HOL_Obool)), _u10009), hAPP(hAPP(c_COMBB(tc_fun(_u10007, tc_HOL_Obool), tc_fun(_u10007, tc_HOL_Obool), _u10008), c_Groups_Ouminus__class_Ouminus(tc_fun(_u10007, tc_HOL_Obool))), _u10010))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Compl__UN ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Compl__UN-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u10011, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10012, tc_fun(_u10011, tc_HOL_Obool)), _u10013), _u10014)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10012, tc_fun(_u10011, tc_HOL_Obool)), _u10013), hAPP(hAPP(c_COMBB(tc_fun(_u10011, tc_HOL_Obool), tc_fun(_u10011, tc_HOL_Obool), _u10012), c_Groups_Ouminus__class_Ouminus(tc_fun(_u10011, tc_HOL_Obool))), _u10014))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_rp__inv__image__def ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_rp__inv__image__def-1, axiom, ( ( c_FunDef_Orp__inv__image(_u10015, _u10016) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(_u10015, _u10015), tc_HOL_Obool), tc_fun(tc_prod(_u10015, _u10015), tc_HOL_Obool), tc_fun(tc_fun(_u10016, _u10015), tc_prod(tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool), tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(tc_fun(tc_prod(_u10015, _u10015), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u10015, _u10015), tc_HOL_Obool), tc_fun(tc_fun(_u10016, _u10015), tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u10015, _u10015), tc_HOL_Obool), tc_fun(tc_fun(_u10016, _u10015), tc_prod(tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool), tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(_u10016, _u10015), tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool)), tc_fun(tc_fun(_u10016, _u10015), tc_prod(tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool), tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(tc_prod(_u10015, _u10015), tc_HOL_Obool), tc_fun(tc_fun(_u10016, _u10015), tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u10015, _u10015), tc_HOL_Obool), tc_fun(tc_fun(_u10016, _u10015), tc_prod(tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool), tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool))))), tc_fun(tc_prod(_u10015, _u10015), tc_HOL_Obool)), c_COMBB(tc_fun(tc_fun(_u10016, _u10015), tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool)), tc_fun(tc_fun(_u10016, _u10015), tc_prod(tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool), tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool))), tc_fun(tc_prod(_u10015, _u10015), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u10016, _u10015), tc_fun(tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool), tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(_u10016, _u10015), tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool)), tc_fun(tc_fun(_u10016, _u10015), tc_prod(tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool), tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool)))), tc_fun(tc_prod(_u10015, _u10015), tc_HOL_Obool)), c_COMBS(tc_fun(_u10016, _u10015), tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool), tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool)))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u10016, _u10015), tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool)), tc_fun(tc_fun(_u10016, _u10015), tc_fun(tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool), tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool)))), tc_fun(tc_prod(_u10015, _u10015), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool), tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool))), tc_fun(_u10016, _u10015)), c_Product__Type_OPair(tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool), tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool)))), c_Relation_Oinv__image(_u10015, _u10016))))), c_Relation_Oinv__image(_u10015, _u10016)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__lessThan__UNIV ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__lessThan__UNIV-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_SUP__subset ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_SUP__subset-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10017) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10018, tc_HOL_Obool)), _u10019), _u10020)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10017), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10018, _u10017), _u10019), _u10021)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10018, _u10017), _u10020), _u10021))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INT__extend__simps_I4_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INT__extend__simps_I4_J-1, axiom, ( ( _u10027 != c_Orderings_Obot__class_Obot(tc_fun(_u10029, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10031, tc_HOL_Obool)), _u10033), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10029, tc_fun(_u10031, tc_HOL_Obool)), _u10027), _u10035)) = _u10033) )).
% 19.51/19.71 cnf(fact_INT__extend__simps_I4_J-2, axiom, ( ( _u10028 = c_Orderings_Obot__class_Obot(tc_fun(_u10030, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10032, tc_HOL_Obool)), _u10034), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10030, tc_fun(_u10032, tc_HOL_Obool)), _u10028), _u10036)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10030, tc_fun(_u10032, tc_HOL_Obool)), _u10028), hAPP(hAPP(c_COMBB(tc_fun(_u10032, tc_HOL_Obool), tc_fun(_u10032, tc_HOL_Obool), _u10030), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10032, tc_HOL_Obool)), _u10034)), _u10036))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_le__SUPI ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_le__SUPI-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10037) | ~hBOOL(hAPP(hAPP(c_member(_u10038), _u10039), _u10040)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10037), hAPP(_u10041, _u10039)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10038, _u10037), _u10040), _u10041))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INT__simps_I4_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INT__simps_I4_J-1, axiom, ( ( _u10047 != c_Orderings_Obot__class_Obot(tc_fun(_u10049, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10049, tc_fun(_u10051, tc_HOL_Obool)), _u10047), hAPP(hAPP(c_COMBB(tc_fun(_u10051, tc_HOL_Obool), tc_fun(_u10051, tc_HOL_Obool), _u10049), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10051, tc_HOL_Obool)), _u10053)), _u10055)) = c_Orderings_Otop__class_Otop(tc_fun(_u10051, tc_HOL_Obool))) )).
% 19.51/19.71 cnf(fact_INT__simps_I4_J-2, axiom, ( ( _u10048 = c_Orderings_Obot__class_Obot(tc_fun(_u10050, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10050, tc_fun(_u10052, tc_HOL_Obool)), _u10048), hAPP(hAPP(c_COMBB(tc_fun(_u10052, tc_HOL_Obool), tc_fun(_u10052, tc_HOL_Obool), _u10050), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10052, tc_HOL_Obool)), _u10054)), _u10056)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10052, tc_HOL_Obool)), _u10054), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10050, tc_fun(_u10052, tc_HOL_Obool)), _u10048), _u10056))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_sup__SUPR__fold__sup ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_sup__SUPR__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10057) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10058), _u10059)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10057), _u10060), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10058, _u10057), _u10059), _u10061)) = hAPP(hAPP(c_Finite__Set_Ofold(_u10058, _u10057, hAPP(hAPP(c_COMBB(_u10057, tc_fun(_u10057, _u10057), _u10058), c_Lattices_Osemilattice__sup__class_Osup(_u10057)), _u10061)), _u10060), _u10059)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_in__inv__image ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_in__inv__image-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u10074, _u10074)), hAPP(hAPP(c_Product__Type_OPair(_u10074, _u10074), hAPP(_u10078, _u10070)), hAPP(_u10078, _u10072))), _u10076)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10068, _u10068)), hAPP(hAPP(c_Product__Type_OPair(_u10068, _u10068), _u10070), _u10072)), hAPP(hAPP(c_Relation_Oinv__image(_u10074, _u10068), _u10076), _u10078))) )).
% 19.51/19.71 cnf(fact_in__inv__image-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10075, _u10075)), hAPP(hAPP(c_Product__Type_OPair(_u10075, _u10075), hAPP(_u10079, _u10071)), hAPP(_u10079, _u10073))), _u10077)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10069, _u10069)), hAPP(hAPP(c_Product__Type_OPair(_u10069, _u10069), _u10071), _u10073)), hAPP(hAPP(c_Relation_Oinv__image(_u10075, _u10069), _u10077), _u10079))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_nat__def ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_nat__def-1, axiom, ( ( hAPP(c_Int_Onat, _u10080) = c_Set_Othe__elem(tc_Nat_Onat, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_Int_ORep__Integ, _u10080)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool))), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool))), tc_Nat_Onat), c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool))), tc_Nat_Onat), hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_Set_Oinsert(tc_Nat_Onat))), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__un_I7_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__un_I7_J-1, axiom, ( ~class_Orderings_Olinorder(_u10081) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10081), _u10082), _u10083)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10081, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10081), _u10082)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10081, _u10082, _u10083)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u10081), _u10083)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_geometric__sum ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_geometric__sum-1, axiom, ( ~class_Fields_Ofield(_u10084) | ( _u10085 = c_Groups_Oone__class_Oone(_u10084)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10084), hAPP(c_Power_Opower__class_Opower(_u10084), _u10085)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10086)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10084), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10084), hAPP(hAPP(c_Power_Opower__class_Opower(_u10084), _u10085), _u10086)), c_Groups_Oone__class_Oone(_u10084))), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10084), _u10085), c_Groups_Oone__class_Oone(_u10084)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_finite__atMost ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_finite__atMost-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10087))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_finite__atLeastLessThan ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_finite__atLeastLessThan-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10088), _u10089))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ball__UN ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ball__UN-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10103), _u10092), _u10105)) | ~hBOOL(hAPP(hAPP(c_member(_u10101), _u10091), hAPP(_u10107, _u10092))) | hBOOL(hAPP(_u10109, _u10091)) | hBOOL(hAPP(hAPP(c_member(_u10101), skolem224(_u10109, _u10107, _u10105, _u10103, _u10101)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10103, tc_fun(_u10101, tc_HOL_Obool)), _u10105), _u10107))) )).
% 19.51/19.71 cnf(fact_ball__UN-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10103), _u10092), _u10105)) | ~hBOOL(hAPP(hAPP(c_member(_u10101), _u10091), hAPP(_u10107, _u10092))) | hBOOL(hAPP(_u10109, _u10091)) | ~hBOOL(hAPP(_u10109, skolem224(_u10109, _u10107, _u10105, _u10103, _u10101))) )).
% 19.51/19.71 cnf(fact_ball__UN-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10102), _u10095), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10104, tc_fun(_u10102, tc_HOL_Obool)), _u10106), _u10108))) | hBOOL(hAPP(_u10110, _u10095)) | hBOOL(hAPP(hAPP(c_member(_u10104), skolem225(_u10110, _u10108, _u10106, _u10104, _u10102)), _u10106)) )).
% 19.51/19.71 cnf(fact_ball__UN-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10102), _u10095), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10104, tc_fun(_u10102, tc_HOL_Obool)), _u10106), _u10108))) | hBOOL(hAPP(_u10110, _u10095)) | hBOOL(hAPP(hAPP(c_member(_u10102), skolem226(_u10110, _u10108, _u10106, _u10104, _u10102)), hAPP(_u10108, skolem225(_u10110, _u10108, _u10106, _u10104, _u10102)))) )).
% 19.51/19.71 cnf(fact_ball__UN-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10102), _u10095), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10104, tc_fun(_u10102, tc_HOL_Obool)), _u10106), _u10108))) | hBOOL(hAPP(_u10110, _u10095)) | ~hBOOL(hAPP(_u10110, skolem226(_u10110, _u10108, _u10106, _u10104, _u10102))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_SUP1__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_SUP1__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10118, tc_fun(_u10120, tc_HOL_Obool)), _u10122), _u10124), _u10126)) | hBOOL(hAPP(hAPP(c_member(_u10118), skolem227(_u10126, _u10124, _u10122, _u10120, _u10118)), _u10122)) )).
% 19.51/19.71 cnf(fact_SUP1__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10118, tc_fun(_u10120, tc_HOL_Obool)), _u10122), _u10124), _u10126)) | hBOOL(hAPP(hAPP(_u10124, skolem227(_u10126, _u10124, _u10122, _u10120, _u10118)), _u10126)) )).
% 19.51/19.71 cnf(fact_SUP1__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10119), _u10112), _u10123)) | ~hBOOL(hAPP(hAPP(_u10125, _u10112), _u10127)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10119, tc_fun(_u10121, tc_HOL_Obool)), _u10123), _u10125), _u10127)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_SUP2__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_SUP2__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10137, tc_fun(_u10139, tc_fun(_u10141, tc_HOL_Obool))), _u10143), _u10145), _u10147), _u10149)) | hBOOL(hAPP(hAPP(c_member(_u10137), skolem228(_u10149, _u10147, _u10145, _u10143, _u10141, _u10139, _u10137)), _u10143)) )).
% 19.51/19.71 cnf(fact_SUP2__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10137, tc_fun(_u10139, tc_fun(_u10141, tc_HOL_Obool))), _u10143), _u10145), _u10147), _u10149)) | hBOOL(hAPP(hAPP(hAPP(_u10145, skolem228(_u10149, _u10147, _u10145, _u10143, _u10141, _u10139, _u10137)), _u10147), _u10149)) )).
% 19.51/19.71 cnf(fact_SUP2__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10138), _u10129), _u10144)) | ~hBOOL(hAPP(hAPP(hAPP(_u10146, _u10129), _u10148), _u10150)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10138, tc_fun(_u10140, tc_fun(_u10142, tc_HOL_Obool))), _u10144), _u10146), _u10148), _u10150)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__extend__simps_I9_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__extend__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10151, tc_fun(_u10152, tc_HOL_Obool)), _u10153), hAPP(hAPP(c_COMBC(_u10151, tc_fun(_u10154, tc_fun(_u10152, tc_HOL_Obool)), tc_fun(_u10152, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10154, tc_HOL_Obool), tc_fun(tc_fun(_u10154, tc_fun(_u10152, tc_HOL_Obool)), tc_fun(_u10152, tc_HOL_Obool)), _u10151), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10154, tc_fun(_u10152, tc_HOL_Obool))), _u10155)), _u10156)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10154, tc_fun(_u10152, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10151, tc_fun(_u10154, tc_HOL_Obool)), _u10153), _u10155)), _u10156)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__simps_I9_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10157, tc_fun(_u10158, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10159, tc_fun(_u10157, tc_HOL_Obool)), _u10160), _u10161)), _u10162) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10159, tc_fun(_u10158, tc_HOL_Obool)), _u10160), hAPP(hAPP(c_COMBC(_u10159, tc_fun(_u10157, tc_fun(_u10158, tc_HOL_Obool)), tc_fun(_u10158, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10157, tc_HOL_Obool), tc_fun(tc_fun(_u10157, tc_fun(_u10158, tc_HOL_Obool)), tc_fun(_u10158, tc_HOL_Obool)), _u10159), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10157, tc_fun(_u10158, tc_HOL_Obool))), _u10161)), _u10162))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__UN__flatten ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__UN__flatten-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10163, tc_fun(_u10164, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10165, tc_fun(_u10163, tc_HOL_Obool)), _u10166), _u10167)), _u10168) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10165, tc_fun(_u10164, tc_HOL_Obool)), _u10166), hAPP(hAPP(c_COMBC(_u10165, tc_fun(_u10163, tc_fun(_u10164, tc_HOL_Obool)), tc_fun(_u10164, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10163, tc_HOL_Obool), tc_fun(tc_fun(_u10163, tc_fun(_u10164, tc_HOL_Obool)), tc_fun(_u10164, tc_HOL_Obool)), _u10165), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10163, tc_fun(_u10164, tc_HOL_Obool))), _u10167)), _u10168))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Rep__Integ__inject ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Rep__Integ__inject-1, axiom, ( ( hAPP(c_Int_ORep__Integ, _u10171) != hAPP(c_Int_ORep__Integ, _u10173)) | ( _u10171 = _u10173) )).
% 19.51/19.71 cnf(fact_Rep__Integ__inject-2, axiom, ( ( _u10172 != _u10174) | ( hAPP(c_Int_ORep__Integ, _u10172) = hAPP(c_Int_ORep__Integ, _u10174)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atLeastLessThan__eq__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atLeastLessThan__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u10175) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10175), _u10176), _u10177)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10175), _u10178), _u10179)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10175, _u10176), _u10177) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10175, _u10178), _u10179)) | ( _u10176 = _u10178) )).
% 19.51/19.71 cnf(fact_atLeastLessThan__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u10175) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10175), _u10176), _u10177)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10175), _u10178), _u10179)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10175, _u10176), _u10177) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10175, _u10178), _u10179)) | ( _u10177 = _u10179) )).
% 19.51/19.71 cnf(fact_atLeastLessThan__eq__iff-3, axiom, ( ~class_Orderings_Olinorder(_u10175) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10175), _u10176), _u10177)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10175), _u10178), _u10179)) | ( _u10176 != _u10178) | ( _u10177 != _u10179) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10175, _u10176), _u10177) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10175, _u10178), _u10179)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atLeastLessThan__inj_I1_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atLeastLessThan__inj_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u10180) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10180, _u10181), _u10182) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10180, _u10183), _u10184)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10180), _u10181), _u10182)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10180), _u10183), _u10184)) | ( _u10181 = _u10183) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atLeastLessThan__inj_I2_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atLeastLessThan__inj_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u10185) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10185, _u10186), _u10187) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10185, _u10188), _u10189)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10185), _u10186), _u10187)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10185), _u10188), _u10189)) | ( _u10187 = _u10189) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atMost__eq__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atMost__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u10190) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u10190), _u10191) != hAPP(c_SetInterval_Oord__class_OatMost(_u10190), _u10192)) | ( _u10191 = _u10192) )).
% 19.51/19.71 cnf(fact_atMost__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u10190) | ( _u10191 != _u10192) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u10190), _u10191) = hAPP(c_SetInterval_Oord__class_OatMost(_u10190), _u10192)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ex__nat__less__eq ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ex__nat__less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10193), _u10199)) | ~hBOOL(hAPP(_u10201, _u10193)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem229(_u10201, _u10199)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10199))) )).
% 19.51/19.71 cnf(fact_ex__nat__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10193), _u10199)) | ~hBOOL(hAPP(_u10201, _u10193)) | hBOOL(hAPP(_u10201, skolem229(_u10201, _u10199))) )).
% 19.51/19.71 cnf(fact_ex__nat__less__eq-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10195), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10200))) | ~hBOOL(hAPP(_u10202, _u10195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem230(_u10202, _u10200)), _u10200)) )).
% 19.51/19.71 cnf(fact_ex__nat__less__eq-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10195), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10200))) | ~hBOOL(hAPP(_u10202, _u10195)) | hBOOL(hAPP(_u10202, skolem230(_u10202, _u10200))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_all__nat__less__eq ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_all__nat__less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10204), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10209))) | hBOOL(hAPP(_u10211, _u10204)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem231(_u10211, _u10209)), _u10209)) )).
% 19.51/19.71 cnf(fact_all__nat__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10204), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10209))) | hBOOL(hAPP(_u10211, _u10204)) | ~hBOOL(hAPP(_u10211, skolem231(_u10211, _u10209))) )).
% 19.51/19.71 cnf(fact_all__nat__less__eq-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10206), _u10210)) | hBOOL(hAPP(_u10212, _u10206)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem232(_u10212, _u10210)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10210))) )).
% 19.51/19.71 cnf(fact_all__nat__less__eq-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10206), _u10210)) | hBOOL(hAPP(_u10212, _u10206)) | ~hBOOL(hAPP(_u10212, skolem232(_u10212, _u10210))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atLeastLessThan__add__Un ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atLeastLessThan__add__Un-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10213), _u10214)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10213), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10214), _u10215)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10213), _u10214)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10214), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10214), _u10215)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__atMost__UNIV ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__atMost__UNIV-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OatMost(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atLeastLessThanSuc__atLeastAtMost ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atLeastLessThanSuc__atLeastAtMost-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10216), hAPP(c_Nat_OSuc, _u10217)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10216, _u10217)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atLeastLessThan0 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atLeastLessThan0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10218), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atLeast0LessThan ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atLeast0LessThan-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10219) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u10219)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_subset__card__intvl__is__intvl ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_subset__card__intvl__is__intvl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u10220), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10221), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10221), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u10220))))) | ( _u10220 = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10221), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10221), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u10220)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_card__atLeastLessThan ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_card__atLeastLessThan-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10222), _u10223)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10223), _u10222)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atLeastLessThan__empty ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atLeastLessThan__empty-1, axiom, ( ~class_Orderings_Oorder(_u10224) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10224), _u10225), _u10226)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10224, _u10226), _u10225) = c_Orderings_Obot__class_Obot(tc_fun(_u10224, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atLeastLessThan__empty__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atLeastLessThan__empty__iff-1, axiom, ( ~class_Orderings_Oorder(_u10227) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10227, _u10228), _u10229) != c_Orderings_Obot__class_Obot(tc_fun(_u10227, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10227), _u10228), _u10229)) )).
% 19.51/19.71 cnf(fact_atLeastLessThan__empty__iff-2, axiom, ( ~class_Orderings_Oorder(_u10227) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10227), _u10228), _u10229)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10227, _u10228), _u10229) = c_Orderings_Obot__class_Obot(tc_fun(_u10227, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atLeastLessThan__empty__iff2 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atLeastLessThan__empty__iff2-1, axiom, ( ~class_Orderings_Oorder(_u10230) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10230, tc_HOL_Obool)) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10230, _u10231), _u10232)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10230), _u10231), _u10232)) )).
% 19.51/19.71 cnf(fact_atLeastLessThan__empty__iff2-2, axiom, ( ~class_Orderings_Oorder(_u10230) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10230), _u10231), _u10232)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10230, tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10230, _u10231), _u10232)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atLeastLessThan__subset__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atLeastLessThan__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u10233) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10233, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10233, _u10234), _u10235)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10233, _u10236), _u10237))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10233), _u10235), _u10234)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10233), _u10236), _u10234)) )).
% 19.51/19.71 cnf(fact_atLeastLessThan__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u10233) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10233, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10233, _u10234), _u10235)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10233, _u10236), _u10237))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10233), _u10235), _u10234)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10233), _u10235), _u10237)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_setsum__shift__bounds__Suc__ivl ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_setsum__shift__bounds__Suc__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10238) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10238), _u10239), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10240)), hAPP(c_Nat_OSuc, _u10241))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10238), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10238, tc_Nat_Onat), _u10239), c_Nat_OSuc)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10240), _u10241))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__un_I17_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__un_I17_J-1, axiom, ( ~class_Orderings_Olinorder(_u10242) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10242), _u10243), _u10244)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10242), _u10244), _u10245)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10242, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10242, _u10243), _u10244)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10242, _u10244), _u10245)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10242, _u10243), _u10245)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_setsum__shift__bounds__nat__ivl ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_setsum__shift__bounds__nat__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10246) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10246), _u10247), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10248), _u10249)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10250), _u10249))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10246), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10246, tc_Nat_Onat), _u10247), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u10249))), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10248), _u10250))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__diff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__diff-1, axiom, ( ~class_Orderings_Olinorder(_u10251) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10251), _u10252), _u10253)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10251, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10251, _u10252), _u10254)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10251, _u10252), _u10253)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10251, _u10253), _u10254)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__UN__finite__eq ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__UN__finite__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10255, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_fun(_u10255, tc_HOL_Obool)), tc_fun(_u10255, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_fun(_u10255, tc_HOL_Obool)), tc_fun(_u10255, tc_HOL_Obool)), tc_Nat_Onat), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10255, tc_HOL_Obool))), c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), _u10256)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10255, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u10256)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__int_I11_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__int_I11_J-1, axiom, ( ~class_Orderings_Oorder(_u10257) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10257, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10257, _u10258), _u10259)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10257, _u10259), _u10260)) = c_Orderings_Obot__class_Obot(tc_fun(_u10257, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atLeastSucLessThan__greaterThanLessThan ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atLeastSucLessThan__greaterThanLessThan-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10261)), _u10262) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u10261, _u10262)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atLeast0AtMost ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atLeast0AtMost-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u10263) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10263)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_lessThan__Suc__atMost ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_lessThan__Suc__atMost-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10264)) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10264)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_card__atMost ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_card__atMost-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10265)) = hAPP(c_Nat_OSuc, _u10265)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atMost__Suc ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atMost__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10266)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10266)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10266))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atMost__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atMost__iff-1, axiom, ( ~class_Orderings_Oord(_u10267) | ~hBOOL(hAPP(hAPP(c_member(_u10267), _u10268), hAPP(c_SetInterval_Oord__class_OatMost(_u10267), _u10269))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10267), _u10268), _u10269)) )).
% 19.51/19.71 cnf(fact_atMost__iff-2, axiom, ( ~class_Orderings_Oord(_u10267) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10267), _u10268), _u10269)) | hBOOL(hAPP(hAPP(c_member(_u10267), _u10268), hAPP(c_SetInterval_Oord__class_OatMost(_u10267), _u10269))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atMost__subset__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atMost__subset__iff-1, axiom, ( ~class_Orderings_Oorder(_u10270) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10270, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10270), _u10271)), hAPP(c_SetInterval_Oord__class_OatMost(_u10270), _u10272))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10270), _u10271), _u10272)) )).
% 19.51/19.71 cnf(fact_atMost__subset__iff-2, axiom, ( ~class_Orderings_Oorder(_u10270) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10270), _u10271), _u10272)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10270, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10270), _u10271)), hAPP(c_SetInterval_Oord__class_OatMost(_u10270), _u10272))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_setsum__add__nat__ivl ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_setsum__add__nat__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10273) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10274), _u10275)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10275), _u10276)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10273), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10273), _u10277), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10274), _u10275))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10273), _u10277), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10275), _u10276))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10273), _u10277), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10274), _u10276))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_setsum__diff__nat__ivl ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_setsum__diff__nat__ivl-1, axiom, ( ~class_Groups_Oab__group__add(_u10278) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10279), _u10280)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10280), _u10281)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10278), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10278), _u10282), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10279), _u10281))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10278), _u10282), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10279), _u10280))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10278), _u10282), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10280), _u10281))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__le__add__shift ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__le__add__shift-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10283, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10284)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u10283, tc_HOL_Obool), tc_Nat_Onat), _u10285), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u10286))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10283, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10286, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10284), _u10286))), _u10285)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atLeastLessThan__singleton ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atLeastLessThan__singleton-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10287), hAPP(c_Nat_OSuc, _u10287)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u10287), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__un_I21_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__un_I21_J-1, axiom, ( ~class_Orderings_Olinorder(_u10288) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10288), _u10289), _u10290)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10288), _u10290), _u10291)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10288, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10288, _u10289), _u10290)), c_SetInterval_Oord__class_OatLeastAtMost(_u10288, _u10290, _u10291)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10288, _u10289, _u10291)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__int_I15_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__int_I15_J-1, axiom, ( ~class_Orderings_Oorder(_u10292) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10292, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10292, _u10293), _u10294)), c_SetInterval_Oord__class_OatLeastAtMost(_u10292, _u10294, _u10295)) = c_Orderings_Obot__class_Obot(tc_fun(_u10292, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Int__atLeastLessThan ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Int__atLeastLessThan-1, axiom, ( ~class_Orderings_Olinorder(_u10296) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10296, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10296, _u10297), _u10298)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10296, _u10299), _u10300)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10296, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10296), _u10297), _u10299)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10296), _u10298), _u10300))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__un_I8_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__un_I8_J-1, axiom, ( ~class_Orderings_Olinorder(_u10301) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10301), _u10302), _u10303)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10301, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u10301), _u10302)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10301, _u10302), _u10303)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u10301), _u10303)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__int_I2_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__int_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u10304) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10304, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u10304), _u10305)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10304, _u10305), _u10306)) = c_Orderings_Obot__class_Obot(tc_fun(_u10304, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__int_I9_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__int_I9_J-1, axiom, ( ~class_Orderings_Oorder(_u10307) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10307, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10307, _u10308, _u10309)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10307, _u10309), _u10310)) = c_Orderings_Obot__class_Obot(tc_fun(_u10307, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_setsum__shift__lb__Suc0__0__upt ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_setsum__shift__lb__Suc0__0__upt-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10311) | ( hAPP(_u10312, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(_u10311)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10311), _u10312), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u10313)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10311), _u10312), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10313))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_setsum__head__upt__Suc ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_setsum__head__upt__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10314) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10315), _u10316)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10314), _u10317), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10315), _u10316)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10314), hAPP(_u10317, _u10315)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10314), _u10317), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10315)), _u10316)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atLeastLessThanSuc ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atLeastLessThanSuc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10320), _u10322)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10320), hAPP(c_Nat_OSuc, _u10322)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u10322), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10320), _u10322))) )).
% 19.51/19.71 cnf(fact_atLeastLessThanSuc-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10321), _u10323)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10321), hAPP(c_Nat_OSuc, _u10323)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_setsum__atMost__Suc ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_setsum__atMost__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10324) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10324), _u10325), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10326))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10324), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10324), _u10325), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10326))), hAPP(_u10325, hAPP(c_Nat_OSuc, _u10326)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atMost__0 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atMost__0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Int__atLeastAtMostR1 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Int__atLeastAtMostR1-1, axiom, ( ~class_Orderings_Olinorder(_u10327) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10327, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10327), _u10328)), c_SetInterval_Oord__class_OatLeastAtMost(_u10327, _u10329, _u10330)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10327, _u10329, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10327), _u10328), _u10330))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Int__atLeastAtMostL1 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Int__atLeastAtMostL1-1, axiom, ( ~class_Orderings_Olinorder(_u10331) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10331, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10331, _u10332, _u10333)), hAPP(c_SetInterval_Oord__class_OatMost(_u10331), _u10334)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10331, _u10332, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10331), _u10333), _u10334))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__un_I9_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__un_I9_J-1, axiom, ( ~class_Orderings_Olinorder(_u10335) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10335), _u10336), _u10337)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10335, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10335), _u10336)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10335, _u10336, _u10337)) = hAPP(c_SetInterval_Oord__class_OatMost(_u10335), _u10337)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__int_I3_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__int_I3_J-1, axiom, ( ~class_Orderings_Oorder(_u10338) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10338, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10338), _u10339)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10338, _u10339, _u10340)) = c_Orderings_Obot__class_Obot(tc_fun(_u10338, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__int_I1_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__int_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u10341) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10341, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10341), _u10342)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10341, _u10342, _u10343)) = c_Orderings_Obot__class_Obot(tc_fun(_u10341, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_setsum__op__ivl__Suc ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_setsum__op__ivl__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10344) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10345), _u10346)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10344), _u10347), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10346), hAPP(c_Nat_OSuc, _u10345))) = c_Groups_Ozero__class_Ozero(_u10344)) )).
% 19.51/19.71 cnf(fact_setsum__op__ivl__Suc-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10344) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10345), _u10346)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10344), _u10347), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10346), hAPP(c_Nat_OSuc, _u10345))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10344), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10344), _u10347), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10346), _u10345))), hAPP(_u10347, _u10345))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__un_I15_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__un_I15_J-1, axiom, ( ~class_Orderings_Olinorder(_u10348) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10348), _u10349), _u10350)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10348), _u10350), _u10351)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10348, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10348, _u10349, _u10350)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10348, _u10350), _u10351)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u10348, _u10349, _u10351)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__le__eq__Un0 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__le__eq__Un0-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10352, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10353)), _u10354) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10352, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10352, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u10353)), _u10354)), hAPP(_u10354, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_measure__def ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_measure__def-1, axiom, ( ( c_Wellfounded_Omeasure(_u10355) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat, _u10355), c_Wellfounded_Oless__than)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__un_I6_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__un_I6_J-1, axiom, ( ~class_Orderings_Olinorder(_u10356) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10356), _u10357), _u10358)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10356, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10356, _u10357), _u10358)), hAPP(hAPP(c_Set_Oinsert(_u10356), _u10358), c_Orderings_Obot__class_Obot(tc_fun(_u10356, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(_u10356, _u10357, _u10358)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__un_I2_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__un_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u10359) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10359, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u10359), _u10360)), hAPP(hAPP(c_Set_Oinsert(_u10359), _u10360), c_Orderings_Obot__class_Obot(tc_fun(_u10359, tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(_u10359), _u10360)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__un_I3_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__un_I3_J-1, axiom, ( ~class_Orderings_Olinorder(_u10361) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10361), _u10362), _u10363)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10361, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u10361), _u10362), c_Orderings_Obot__class_Obot(tc_fun(_u10361, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10361, _u10362, _u10363)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10361, _u10362), _u10363)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__un_I10_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__un_I10_J-1, axiom, ( ~class_Orderings_Olinorder(_u10364) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10364), _u10365), _u10366)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10364, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u10364), _u10365)), c_SetInterval_Oord__class_OatLeastAtMost(_u10364, _u10365, _u10366)) = hAPP(c_SetInterval_Oord__class_OatMost(_u10364), _u10366)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__un_I18_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__un_I18_J-1, axiom, ( ~class_Orderings_Olinorder(_u10367) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10367), _u10368), _u10369)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10367), _u10369), _u10370)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10367, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10367, _u10368, _u10369)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10367, _u10369, _u10370)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10367, _u10368), _u10370)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_irrefl__def ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_irrefl__def-1, axiom, ( ~c_Relation_Oirrefl(_u10375, _u10377) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10375, _u10375)), hAPP(hAPP(c_Product__Type_OPair(_u10375, _u10375), _u10371), _u10371)), _u10377)) )).
% 19.51/19.71 cnf(fact_irrefl__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u10376, _u10376)), hAPP(hAPP(c_Product__Type_OPair(_u10376, _u10376), skolem233(_u10378, _u10376)), skolem233(_u10378, _u10376))), _u10378)) | c_Relation_Oirrefl(_u10376, _u10378) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__finite2__subset ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__finite2__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10380, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10380, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem234(_u10383, _u10382, _u10381, _u10380))), _u10381)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10380, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem234(_u10383, _u10382, _u10381, _u10380)), _u10382))), _u10383))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10380, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10380, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u10381)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10380, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u10383))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Field__insert ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Field__insert-1, axiom, ( ( hAPP(c_Relation_OField(_u10384), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u10384, _u10384)), hAPP(hAPP(c_Product__Type_OPair(_u10384, _u10384), _u10385), _u10386)), _u10387)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10384, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u10384), _u10385), hAPP(hAPP(c_Set_Oinsert(_u10384), _u10386), c_Orderings_Obot__class_Obot(tc_fun(_u10384, tc_HOL_Obool))))), hAPP(c_Relation_OField(_u10384), _u10387))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__finite2__eq ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__finite2__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10389, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem235(_u10392, _u10391, _u10390, _u10389))), _u10390) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10389, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem235(_u10392, _u10391, _u10390, _u10389)), _u10391))), _u10392)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10389, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u10390) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10389, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u10392)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_finite__atLeastLessThan__int ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_finite__atLeastLessThan__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u10393), _u10394))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_finite__atLeastZeroLessThan__int ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_finite__atLeastZeroLessThan__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10395))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Field__empty ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Field__empty-1, axiom, ( ( hAPP(c_Relation_OField(_u10396), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u10396, _u10396), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u10396, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_mono__Field ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_mono__Field-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u10397, _u10397), tc_HOL_Obool)), _u10398), _u10399)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10397, tc_HOL_Obool)), hAPP(c_Relation_OField(_u10397), _u10398)), hAPP(c_Relation_OField(_u10397), _u10399))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Field__Un ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Field__Un-1, axiom, ( ( hAPP(c_Relation_OField(_u10400), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u10400, _u10400), tc_HOL_Obool)), _u10401), _u10402)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10400, tc_HOL_Obool)), hAPP(c_Relation_OField(_u10400), _u10401)), hAPP(c_Relation_OField(_u10400), _u10402))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_finite__Field ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_finite__Field-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u10403, _u10403)), _u10404)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10403), hAPP(c_Relation_OField(_u10403), _u10404))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atLeastLessThanPlusOne__atLeastAtMost__int ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atLeastLessThanPlusOne__atLeastAtMost__int-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u10405), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10406), c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u10405, _u10406)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_card__atLeastZeroLessThan__int ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_card__atLeastZeroLessThan__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10407)) = hAPP(c_Int_Onat, _u10407)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_card__atLeastLessThan__int ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_card__atLeastLessThan__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u10408), _u10409)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10409), _u10408))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atLeastPlusOneLessThan__greaterThanLessThan__int ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atLeastPlusOneLessThan__greaterThanLessThan__int-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10410), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10411) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u10410, _u10411)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__finite__subset ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__finite__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10413, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10413, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem236(_u10415, _u10414, _u10413))), _u10414)), _u10415)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10413, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10413, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u10414)), _u10415)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Id__on__def ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Id__on__def-1, axiom, ( ( c_Relation_OId__on(_u10416, _u10417) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10416, tc_fun(tc_prod(_u10416, _u10416), tc_HOL_Obool)), _u10417), hAPP(hAPP(c_COMBC(_u10416, tc_fun(tc_prod(_u10416, _u10416), tc_HOL_Obool), tc_fun(tc_prod(_u10416, _u10416), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_prod(_u10416, _u10416), tc_fun(tc_fun(tc_prod(_u10416, _u10416), tc_HOL_Obool), tc_fun(tc_prod(_u10416, _u10416), tc_HOL_Obool)), _u10416), c_Set_Oinsert(tc_prod(_u10416, _u10416))), hAPP(hAPP(c_COMBS(_u10416, _u10416, tc_prod(_u10416, _u10416)), c_Product__Type_OPair(_u10416, _u10416)), c_COMBI(_u10416)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u10416, _u10416), tc_HOL_Obool))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_image__minus__const__atLeastLessThan__nat ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_image__minus__const__atLeastLessThan__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10421), _u10423)) | ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)), _u10421)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10425), _u10423)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10425), _u10421)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10423), _u10421))) )).
% 19.51/19.71 cnf(fact_image__minus__const__atLeastLessThan__nat-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10422), _u10424)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10426), _u10424)) | ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)), _u10422)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10426), _u10424)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 19.51/19.71 cnf(fact_image__minus__const__atLeastLessThan__nat-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10422), _u10424)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10426), _u10424)) | ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)), _u10422)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10426), _u10424)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_image__eqI ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_image__eqI-1, axiom, ( ( _u10427 != hAPP(_u10428, _u10429)) | ~hBOOL(hAPP(hAPP(c_member(_u10430), _u10429), _u10431)) | hBOOL(hAPP(hAPP(c_member(_u10432), _u10427), hAPP(c_Set_Oimage(_u10430, _u10432, _u10428), _u10431))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_finite__imageI ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_finite__imageI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10433), _u10434)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10435), hAPP(c_Set_Oimage(_u10433, _u10435, _u10436), _u10434))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__extend__simps_I10_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__extend__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10437, tc_fun(_u10438, tc_HOL_Obool)), _u10439), hAPP(hAPP(c_COMBB(_u10440, tc_fun(_u10438, tc_HOL_Obool), _u10437), _u10441), _u10442)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10440, tc_fun(_u10438, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10437, _u10440, _u10442), _u10439)), _u10441)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_image__UN ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_image__UN-1, axiom, ( ( hAPP(c_Set_Oimage(_u10443, _u10444, _u10445), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10446, tc_fun(_u10443, tc_HOL_Obool)), _u10447), _u10448)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10446, tc_fun(_u10444, tc_HOL_Obool)), _u10447), hAPP(hAPP(c_COMBB(tc_fun(_u10443, tc_HOL_Obool), tc_fun(_u10444, tc_HOL_Obool), _u10446), c_Set_Oimage(_u10443, _u10444, _u10445)), _u10448))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__simps_I10_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10449, tc_fun(_u10450, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10451, _u10449, _u10452), _u10453)), _u10454) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10451, tc_fun(_u10450, tc_HOL_Obool)), _u10453), hAPP(hAPP(c_COMBB(_u10449, tc_fun(_u10450, tc_HOL_Obool), _u10451), _u10454), _u10452))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_image__insert ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_image__insert-1, axiom, ( ( hAPP(c_Set_Oimage(_u10455, _u10456, _u10457), hAPP(hAPP(c_Set_Oinsert(_u10455), _u10458), _u10459)) = hAPP(hAPP(c_Set_Oinsert(_u10456), hAPP(_u10457, _u10458)), hAPP(c_Set_Oimage(_u10455, _u10456, _u10457), _u10459))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_image__Un ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_image__Un-1, axiom, ( ( hAPP(c_Set_Oimage(_u10460, _u10461, _u10462), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10460, tc_HOL_Obool)), _u10463), _u10464)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10461, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10460, _u10461, _u10462), _u10463)), hAPP(c_Set_Oimage(_u10460, _u10461, _u10462), _u10464))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_image__Pow__mono ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_image__Pow__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10465, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10466, _u10465, _u10467), _u10468)), _u10469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u10465, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_fun(_u10466, tc_HOL_Obool), tc_fun(_u10465, tc_HOL_Obool), c_Set_Oimage(_u10466, _u10465, _u10467)), hAPP(c_Set_OPow(_u10466), _u10468))), hAPP(c_Set_OPow(_u10465), _u10469))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_image__mono ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_image__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10470, tc_HOL_Obool)), _u10471), _u10472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10473, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10470, _u10473, _u10474), _u10471)), hAPP(c_Set_Oimage(_u10470, _u10473, _u10474), _u10472))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_subset__image__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_subset__image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10482, tc_HOL_Obool)), _u10484), hAPP(c_Set_Oimage(_u10486, _u10482, _u10488), _u10490))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10486, tc_HOL_Obool)), skolem237(_u10490, _u10488, _u10486, _u10484, _u10482)), _u10490)) )).
% 19.51/19.71 cnf(fact_subset__image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10482, tc_HOL_Obool)), _u10484), hAPP(c_Set_Oimage(_u10486, _u10482, _u10488), _u10490))) | ( _u10484 = hAPP(c_Set_Oimage(_u10486, _u10482, _u10488), skolem237(_u10490, _u10488, _u10486, _u10484, _u10482))) )).
% 19.51/19.71 cnf(fact_subset__image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10487, tc_HOL_Obool)), _u10476), _u10491)) | ( _u10485 != hAPP(c_Set_Oimage(_u10487, _u10483, _u10489), _u10476)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10483, tc_HOL_Obool)), _u10485), hAPP(c_Set_Oimage(_u10487, _u10483, _u10489), _u10491))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_range__composition ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_range__composition-1, axiom, ( ( hAPP(c_Set_Oimage(_u10492, _u10493, hAPP(hAPP(c_COMBB(_u10494, _u10493, _u10492), _u10495), _u10496)), c_Orderings_Otop__class_Otop(tc_fun(_u10492, tc_HOL_Obool))) = hAPP(c_Set_Oimage(_u10494, _u10493, _u10495), hAPP(c_Set_Oimage(_u10492, _u10494, _u10496), c_Orderings_Otop__class_Otop(tc_fun(_u10492, tc_HOL_Obool))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_image__image ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_image__image-1, axiom, ( ( hAPP(c_Set_Oimage(_u10497, _u10498, _u10499), hAPP(c_Set_Oimage(_u10500, _u10497, _u10501), _u10502)) = hAPP(c_Set_Oimage(_u10500, _u10498, hAPP(hAPP(c_COMBB(_u10497, _u10498, _u10500), _u10499), _u10501)), _u10502)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_image__Pow__surj ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_image__Pow__surj-1, axiom, ( ( hAPP(c_Set_Oimage(_u10503, _u10504, _u10505), _u10506) != _u10507) | ( hAPP(c_Set_Oimage(tc_fun(_u10503, tc_HOL_Obool), tc_fun(_u10504, tc_HOL_Obool), c_Set_Oimage(_u10503, _u10504, _u10505)), hAPP(c_Set_OPow(_u10503), _u10506)) = hAPP(c_Set_OPow(_u10504), _u10507)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INT__simps_I10_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INT__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10508, tc_fun(_u10509, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10510, _u10508, _u10511), _u10512)), _u10513) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10510, tc_fun(_u10509, tc_HOL_Obool)), _u10512), hAPP(hAPP(c_COMBB(_u10508, tc_fun(_u10509, tc_HOL_Obool), _u10510), _u10513), _u10511))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INT__extend__simps_I10_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INT__extend__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10514, tc_fun(_u10515, tc_HOL_Obool)), _u10516), hAPP(hAPP(c_COMBB(_u10517, tc_fun(_u10515, tc_HOL_Obool), _u10514), _u10518), _u10519)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10517, tc_fun(_u10515, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10514, _u10517, _u10519), _u10516)), _u10518)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_rev__image__eqI ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_rev__image__eqI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10520), _u10521), _u10522)) | ( _u10523 != hAPP(_u10524, _u10521)) | hBOOL(hAPP(hAPP(c_member(_u10525), _u10523), hAPP(c_Set_Oimage(_u10520, _u10525, _u10524), _u10522))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_imageI ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10526), _u10527), _u10528)) | hBOOL(hAPP(hAPP(c_member(_u10529), hAPP(_u10530, _u10527)), hAPP(c_Set_Oimage(_u10526, _u10529, _u10530), _u10528))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_image__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10538), _u10540), hAPP(c_Set_Oimage(_u10542, _u10538, _u10544), _u10546))) | hBOOL(hAPP(hAPP(c_member(_u10542), skolem238(_u10546, _u10544, _u10542, _u10540)), _u10546)) )).
% 19.51/19.71 cnf(fact_image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10538), _u10540), hAPP(c_Set_Oimage(_u10542, _u10538, _u10544), _u10546))) | ( _u10540 = hAPP(_u10544, skolem238(_u10546, _u10544, _u10542, _u10540))) )).
% 19.51/19.71 cnf(fact_image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10543), _u10532), _u10547)) | ( _u10541 != hAPP(_u10545, _u10532)) | hBOOL(hAPP(hAPP(c_member(_u10539), _u10541), hAPP(c_Set_Oimage(_u10543, _u10539, _u10545), _u10547))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_empty__is__image ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_empty__is__image-1, axiom, ( ( _u10558 = c_Orderings_Obot__class_Obot(tc_fun(_u10554, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10552, tc_HOL_Obool)) != hAPP(c_Set_Oimage(_u10554, _u10552, _u10556), _u10558)) )).
% 19.51/19.71 cnf(fact_empty__is__image-2, axiom, ( ( _u10559 != c_Orderings_Obot__class_Obot(tc_fun(_u10555, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10553, tc_HOL_Obool)) = hAPP(c_Set_Oimage(_u10555, _u10553, _u10557), _u10559)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_image__empty ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_image__empty-1, axiom, ( ( hAPP(c_Set_Oimage(_u10560, _u10561, _u10562), c_Orderings_Obot__class_Obot(tc_fun(_u10560, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u10561, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_image__is__empty ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_image__is__empty-1, axiom, ( ( hAPP(c_Set_Oimage(_u10567, _u10569, _u10571), _u10573) != c_Orderings_Obot__class_Obot(tc_fun(_u10569, tc_HOL_Obool))) | ( _u10573 = c_Orderings_Obot__class_Obot(tc_fun(_u10567, tc_HOL_Obool))) )).
% 19.51/19.71 cnf(fact_image__is__empty-2, axiom, ( ( _u10574 != c_Orderings_Obot__class_Obot(tc_fun(_u10568, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u10568, _u10570, _u10572), _u10574) = c_Orderings_Obot__class_Obot(tc_fun(_u10570, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_insert__image ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_insert__image-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10575), _u10576), _u10577)) | ( hAPP(hAPP(c_Set_Oinsert(_u10578), hAPP(_u10579, _u10576)), hAPP(c_Set_Oimage(_u10575, _u10578, _u10579), _u10577)) = hAPP(c_Set_Oimage(_u10575, _u10578, _u10579), _u10577)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_rangeI ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_rangeI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u10580), hAPP(_u10581, _u10582)), hAPP(c_Set_Oimage(_u10583, _u10580, _u10581), c_Orderings_Otop__class_Otop(tc_fun(_u10583, tc_HOL_Obool))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_range__eqI ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_range__eqI-1, axiom, ( ( _u10584 != hAPP(_u10585, _u10586)) | hBOOL(hAPP(hAPP(c_member(_u10587), _u10584), hAPP(c_Set_Oimage(_u10588, _u10587, _u10585), c_Orderings_Otop__class_Otop(tc_fun(_u10588, tc_HOL_Obool))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_finite__surj ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_finite__surj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10589), _u10590)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10591, tc_HOL_Obool)), _u10592), hAPP(c_Set_Oimage(_u10589, _u10591, _u10593), _u10590))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10591), _u10592)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_image__Int__subset ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_image__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10594, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10595, _u10594, _u10596), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10595, tc_HOL_Obool)), _u10597), _u10598))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10594, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10595, _u10594, _u10596), _u10597)), hAPP(c_Set_Oimage(_u10595, _u10594, _u10596), _u10598)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_image__diff__subset ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_image__diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10599, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10599, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10600, _u10599, _u10601), _u10602)), hAPP(c_Set_Oimage(_u10600, _u10599, _u10601), _u10603))), hAPP(c_Set_Oimage(_u10600, _u10599, _u10601), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10600, tc_HOL_Obool)), _u10602), _u10603)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_image__uminus__atLeastAtMost ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_image__uminus__atLeastAtMost-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u10604) | ( hAPP(c_Set_Oimage(_u10604, _u10604, c_Groups_Ouminus__class_Ouminus(_u10604)), c_SetInterval_Oord__class_OatLeastAtMost(_u10604, _u10605, _u10606)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10604, hAPP(c_Groups_Ouminus__class_Ouminus(_u10604), _u10606), hAPP(c_Groups_Ouminus__class_Ouminus(_u10604), _u10605))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_image__Suc__atLeastLessThan ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_image__Suc__atLeastLessThan-1, axiom, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10607), _u10608)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10607)), hAPP(c_Nat_OSuc, _u10608))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_image__Suc__atLeastAtMost ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_image__Suc__atLeastAtMost-1, axiom, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10609, _u10610)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10609), hAPP(c_Nat_OSuc, _u10610))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_image__uminus__greaterThanLessThan ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_image__uminus__greaterThanLessThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u10611) | ( hAPP(c_Set_Oimage(_u10611, _u10611, c_Groups_Ouminus__class_Ouminus(_u10611)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10611, _u10612, _u10613)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u10611, hAPP(c_Groups_Ouminus__class_Ouminus(_u10611), _u10613), hAPP(c_Groups_Ouminus__class_Ouminus(_u10611), _u10612))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_image__constant__conv ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_image__constant__conv-1, axiom, ( ( _u10618 != c_Orderings_Obot__class_Obot(tc_fun(_u10620, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u10620, _u10622, hAPP(c_COMBK(_u10622, _u10620), _u10624)), _u10618) = c_Orderings_Obot__class_Obot(tc_fun(_u10622, tc_HOL_Obool))) )).
% 19.51/19.71 cnf(fact_image__constant__conv-2, axiom, ( ( _u10619 = c_Orderings_Obot__class_Obot(tc_fun(_u10621, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u10621, _u10623, hAPP(c_COMBK(_u10623, _u10621), _u10625)), _u10619) = hAPP(hAPP(c_Set_Oinsert(_u10623), _u10625), c_Orderings_Obot__class_Obot(tc_fun(_u10623, tc_HOL_Obool)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_finite__range__imageI ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_finite__range__imageI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10626), hAPP(c_Set_Oimage(_u10627, _u10626, _u10628), c_Orderings_Otop__class_Otop(tc_fun(_u10627, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10629), hAPP(c_Set_Oimage(_u10627, _u10629, hAPP(hAPP(c_COMBB(_u10626, _u10629, _u10627), _u10630), _u10628)), c_Orderings_Otop__class_Otop(tc_fun(_u10627, tc_HOL_Obool))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_image__add__atLeastLessThan ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_image__add__atLeastLessThan-1, axiom, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u10631)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10632), _u10633)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10632), _u10631)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10633), _u10631))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_image__add__atLeastAtMost ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_image__add__atLeastAtMost-1, axiom, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u10634)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10635, _u10636)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10635), _u10634), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10636), _u10634))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Id__on__def_H ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Id__on__def_H-1, axiom, ( ( c_Relation_OId__on(_u10637, _u10638) = hAPP(c_Product__Type_Oprod_Oprod__case(_u10637, _u10637, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u10637, tc_HOL_Obool, tc_fun(_u10637, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10637, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_HOL_Obool, tc_fun(_u10637, tc_HOL_Obool)), _u10637), c_COMBC(_u10637, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10637, tc_HOL_Obool), tc_fun(_u10637, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u10637), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10637), c_fconj)), c_fequal))), _u10638))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_image__Union ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_image__Union-1, axiom, ( ( hAPP(c_Set_Oimage(_u10639, _u10640, _u10641), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10639, tc_HOL_Obool), _u10642)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u10639, tc_HOL_Obool), tc_fun(_u10640, tc_HOL_Obool)), _u10642), c_Set_Oimage(_u10639, _u10640, _u10641))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_card__image__le ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_card__image__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10643), _u10644)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10645), hAPP(c_Set_Oimage(_u10643, _u10645, _u10646), _u10644))), hAPP(c_Finite__Set_Ocard(_u10643), _u10644))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_image__uminus__atLeastLessThan ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_image__uminus__atLeastLessThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u10647) | ( hAPP(c_Set_Oimage(_u10647, _u10647, c_Groups_Ouminus__class_Ouminus(_u10647)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10647, _u10648), _u10649)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10647, hAPP(c_Groups_Ouminus__class_Ouminus(_u10647), _u10649), hAPP(c_Groups_Ouminus__class_Ouminus(_u10647), _u10648))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_image__uminus__greaterThanAtMost ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_image__uminus__greaterThanAtMost-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u10650) | ( hAPP(c_Set_Oimage(_u10650, _u10650, c_Groups_Ouminus__class_Ouminus(_u10650)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10650, _u10651, _u10652)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10650, hAPP(c_Groups_Ouminus__class_Ouminus(_u10650), _u10652)), hAPP(c_Groups_Ouminus__class_Ouminus(_u10650), _u10651))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_image__constant ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_image__constant-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10653), _u10654), _u10655)) | ( hAPP(c_Set_Oimage(_u10653, _u10656, hAPP(c_COMBK(_u10656, _u10653), _u10657)), _u10655) = hAPP(hAPP(c_Set_Oinsert(_u10656), _u10657), c_Orderings_Obot__class_Obot(tc_fun(_u10656, tc_HOL_Obool)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_image__eq__UN ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_image__eq__UN-1, axiom, ( ( hAPP(c_Set_Oimage(_u10658, _u10659, _u10660), _u10661) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10658, tc_fun(_u10659, tc_HOL_Obool)), _u10661), hAPP(hAPP(c_COMBC(_u10658, tc_fun(_u10659, tc_HOL_Obool), tc_fun(_u10659, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u10659, tc_fun(tc_fun(_u10659, tc_HOL_Obool), tc_fun(_u10659, tc_HOL_Obool)), _u10658), c_Set_Oinsert(_u10659)), _u10660)), c_Orderings_Obot__class_Obot(tc_fun(_u10659, tc_HOL_Obool))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Id__on__empty ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Id__on__empty-1, axiom, ( ( c_Relation_OId__on(_u10662, c_Orderings_Obot__class_Obot(tc_fun(_u10662, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u10662, _u10662), tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_image__eq__fold__image ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_image__eq__fold__image-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10663), _u10664)) | ( hAPP(c_Set_Oimage(_u10663, _u10665, _u10666), _u10664) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(_u10665, tc_HOL_Obool), _u10663, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10665, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u10663, tc_fun(_u10665, tc_HOL_Obool), tc_fun(_u10665, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u10665, tc_fun(tc_fun(_u10665, tc_HOL_Obool), tc_fun(_u10665, tc_HOL_Obool)), _u10663), c_Set_Oinsert(_u10665)), _u10666)), c_Orderings_Obot__class_Obot(tc_fun(_u10665, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(_u10665, tc_HOL_Obool))), _u10664)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_lessThan__Suc__eq__insert__0 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_lessThan__Suc__eq__insert__0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10667)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u10667)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Id__on__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Id__on__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10672, _u10672)), hAPP(hAPP(c_Product__Type_OPair(_u10672, _u10672), _u10674), _u10676)), c_Relation_OId__on(_u10672, _u10678))) | ( _u10674 = _u10676) )).
% 19.51/19.71 cnf(fact_Id__on__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10672, _u10672)), hAPP(hAPP(c_Product__Type_OPair(_u10672, _u10672), _u10674), _u10676)), c_Relation_OId__on(_u10672, _u10678))) | hBOOL(hAPP(hAPP(c_member(_u10672), _u10674), _u10678)) )).
% 19.51/19.71 cnf(fact_Id__on__iff-3, axiom, ( ( _u10675 != _u10677) | ~hBOOL(hAPP(hAPP(c_member(_u10673), _u10675), _u10679)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10673, _u10673)), hAPP(hAPP(c_Product__Type_OPair(_u10673, _u10673), _u10675), _u10677)), c_Relation_OId__on(_u10673, _u10679))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Id__on__eqI ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Id__on__eqI-1, axiom, ( ( _u10680 != _u10681) | ~hBOOL(hAPP(hAPP(c_member(_u10682), _u10680), _u10683)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10682, _u10682)), hAPP(hAPP(c_Product__Type_OPair(_u10682, _u10682), _u10680), _u10681)), c_Relation_OId__on(_u10682, _u10683))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_minus__Min__eq__Max ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_minus__Min__eq__Max-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u10684) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10684), _u10685)) | ( _u10685 = c_Orderings_Obot__class_Obot(tc_fun(_u10684, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u10684), c_Big__Operators_Olinorder__class_OMin(_u10684, _u10685)) = c_Big__Operators_Olinorder__class_OMax(_u10684, hAPP(c_Set_Oimage(_u10684, _u10684, c_Groups_Ouminus__class_Ouminus(_u10684)), _u10685))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_minus__Max__eq__Min ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_minus__Max__eq__Min-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u10686) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10686), _u10687)) | ( _u10687 = c_Orderings_Obot__class_Obot(tc_fun(_u10686, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u10686), c_Big__Operators_Olinorder__class_OMax(_u10686, _u10687)) = c_Big__Operators_Olinorder__class_OMin(_u10686, hAPP(c_Set_Oimage(_u10686, _u10686, c_Groups_Ouminus__class_Ouminus(_u10686)), _u10687))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_surj__Compl__image__subset ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_surj__Compl__image__subset-1, axiom, ( ( hAPP(c_Set_Oimage(_u10688, _u10689, _u10690), c_Orderings_Otop__class_Otop(tc_fun(_u10688, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u10689, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10689, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u10689, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10688, _u10689, _u10690), _u10691))), hAPP(c_Set_Oimage(_u10688, _u10689, _u10690), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u10688, tc_HOL_Obool)), _u10691)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Id__onE ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Id__onE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10693, _u10693)), _u10694), c_Relation_OId__on(_u10693, _u10695))) | hBOOL(hAPP(hAPP(c_member(_u10693), skolem239(_u10695, _u10694, _u10693)), _u10695)) )).
% 19.51/19.71 cnf(fact_Id__onE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10693, _u10693)), _u10694), c_Relation_OId__on(_u10693, _u10695))) | ( _u10694 = hAPP(hAPP(c_Product__Type_OPair(_u10693, _u10693), skolem239(_u10695, _u10694, _u10693)), skolem239(_u10695, _u10694, _u10693))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_greaterThan__0 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_greaterThan__0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_pair__imageI ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_pair__imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10696, _u10697)), hAPP(hAPP(c_Product__Type_OPair(_u10696, _u10697), _u10698), _u10699)), _u10700)) | hBOOL(hAPP(hAPP(c_member(_u10701), hAPP(hAPP(_u10702, _u10698), _u10699)), hAPP(c_Set_Oimage(tc_prod(_u10696, _u10697), _u10701, hAPP(c_Product__Type_Oprod_Oprod__case(_u10696, _u10697, _u10701), _u10702)), _u10700))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u10703), _u10704) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10703)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10704)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Cantors__paradox ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Cantors__paradox-1, axiom, ( ( hAPP(c_Set_Oimage(_u10706, tc_fun(_u10706, tc_HOL_Obool), _u10705), _u10707) != hAPP(c_Set_OPow(_u10706), _u10707)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_transfer__int__nat__set__return__embed ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_transfer__int__nat__set__return__embed-1, axiom, ( ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10708)) = _u10708) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_transfer__nat__int__set__relations_I3_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_transfer__nat__int__set__relations_I3_J-1, axiom, ( ( _u10711 != _u10713) | ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10711) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10713)) )).
% 19.51/19.71 cnf(fact_transfer__nat__int__set__relations_I3_J-2, axiom, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10712) != hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10714)) | ( _u10712 = _u10714) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_transfer__nat__int__set__relations_I4_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_transfer__nat__int__set__relations_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u10717), _u10719)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10717)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10719))) )).
% 19.51/19.71 cnf(fact_transfer__nat__int__set__relations_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10718)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10720))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u10718), _u10720)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_greaterThan__eq__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_greaterThan__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u10721) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u10721), _u10722) != hAPP(c_SetInterval_Oord__class_OgreaterThan(_u10721), _u10723)) | ( _u10722 = _u10723) )).
% 19.51/19.71 cnf(fact_greaterThan__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u10721) | ( _u10722 != _u10723) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u10721), _u10722) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u10721), _u10723)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u10724), _u10725) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10724)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10725)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_transfer__nat__int__set__relations_I2_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_transfer__nat__int__set__relations_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10728), _u10730)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10728)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10730))) )).
% 19.51/19.71 cnf(fact_transfer__nat__int__set__relations_I2_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10729)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10731))) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10729), _u10731)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Field__Union ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Field__Union-1, axiom, ( ( hAPP(c_Relation_OField(_u10732), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u10732, _u10732), tc_HOL_Obool), _u10733)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10732, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_fun(tc_prod(_u10732, _u10732), tc_HOL_Obool), tc_fun(_u10732, tc_HOL_Obool), c_Relation_OField(_u10732)), _u10733))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_transfer__nat__int__sum__prod_I2_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_transfer__nat__int__sum__prod_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10734) | ~class_Groups_Ocomm__monoid__mult(_u10734) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u10734), _u10735), _u10736) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u10734), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10734, tc_Int_Oint), _u10735), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10736))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Union__image__eq ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Union__image__eq-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10737, tc_HOL_Obool), hAPP(c_Set_Oimage(_u10738, tc_fun(_u10737, tc_HOL_Obool), _u10739), _u10740)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10738, tc_fun(_u10737, tc_HOL_Obool)), _u10740), _u10739)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UNION__eq__Union__image ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UNION__eq__Union__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10741, tc_fun(_u10742, tc_HOL_Obool)), _u10743), _u10744) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10742, tc_HOL_Obool), hAPP(c_Set_Oimage(_u10741, tc_fun(_u10742, tc_HOL_Obool), _u10744), _u10743))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Inter__image__eq ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Inter__image__eq-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u10745, tc_HOL_Obool), hAPP(c_Set_Oimage(_u10746, tc_fun(_u10745, tc_HOL_Obool), _u10747), _u10748)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10746, tc_fun(_u10745, tc_HOL_Obool)), _u10748), _u10747)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INTER__eq__Inter__image ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INTER__eq__Inter__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10749, tc_fun(_u10750, tc_HOL_Obool)), _u10751), _u10752) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u10750, tc_HOL_Obool), hAPP(c_Set_Oimage(_u10749, tc_fun(_u10750, tc_HOL_Obool), _u10752), _u10751))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_transfer__nat__int__set__relations_I5_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_transfer__nat__int__set__relations_I5_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u10755), _u10757)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10755)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10757))) )).
% 19.51/19.71 cnf(fact_transfer__nat__int__set__relations_I5_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10756)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10758))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u10756), _u10758)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_greaterThan__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_greaterThan__iff-1, axiom, ( ~class_Orderings_Oord(_u10759) | ~hBOOL(hAPP(hAPP(c_member(_u10759), _u10760), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u10759), _u10761))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10759), _u10761), _u10760)) )).
% 19.51/19.71 cnf(fact_greaterThan__iff-2, axiom, ( ~class_Orderings_Oord(_u10759) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10759), _u10761), _u10760)) | hBOOL(hAPP(hAPP(c_member(_u10759), _u10760), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u10759), _u10761))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_greaterThan__subset__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_greaterThan__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u10762) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10762, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u10762), _u10763)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u10762), _u10764))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10762), _u10764), _u10763)) )).
% 19.51/19.71 cnf(fact_greaterThan__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u10762) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10762), _u10764), _u10763)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10762, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u10762), _u10763)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u10762), _u10764))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Un__Union__image ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Un__Union__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10765, tc_fun(_u10766, tc_HOL_Obool)), _u10767), hAPP(hAPP(c_COMBS(_u10765, tc_fun(_u10766, tc_HOL_Obool), tc_fun(_u10766, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10766, tc_HOL_Obool), tc_fun(tc_fun(_u10766, tc_HOL_Obool), tc_fun(_u10766, tc_HOL_Obool)), _u10765), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10766, tc_HOL_Obool))), _u10768)), _u10769)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10766, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10766, tc_HOL_Obool), hAPP(c_Set_Oimage(_u10765, tc_fun(_u10766, tc_HOL_Obool), _u10768), _u10767))), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10766, tc_HOL_Obool), hAPP(c_Set_Oimage(_u10765, tc_fun(_u10766, tc_HOL_Obool), _u10769), _u10767)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_transfer__nat__int__sum__prod_I1_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_transfer__nat__int__sum__prod_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10770) | ~class_Groups_Ocomm__monoid__mult(_u10770) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10770), _u10771), _u10772) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u10770), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10770, tc_Int_Oint), _u10771), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10772))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Int__Inter__image ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Int__Inter__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10773, tc_fun(_u10774, tc_HOL_Obool)), _u10775), hAPP(hAPP(c_COMBS(_u10773, tc_fun(_u10774, tc_HOL_Obool), tc_fun(_u10774, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10774, tc_HOL_Obool), tc_fun(tc_fun(_u10774, tc_HOL_Obool), tc_fun(_u10774, tc_HOL_Obool)), _u10773), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10774, tc_HOL_Obool))), _u10776)), _u10777)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10774, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u10774, tc_HOL_Obool), hAPP(c_Set_Oimage(_u10773, tc_fun(_u10774, tc_HOL_Obool), _u10776), _u10775))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u10774, tc_HOL_Obool), hAPP(c_Set_Oimage(_u10773, tc_fun(_u10774, tc_HOL_Obool), _u10777), _u10775)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Pow__insert ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Pow__insert-1, axiom, ( ( hAPP(c_Set_OPow(_u10778), hAPP(hAPP(c_Set_Oinsert(_u10778), _u10779), _u10780)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u10778, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u10778), _u10780)), hAPP(c_Set_Oimage(tc_fun(_u10778, tc_HOL_Obool), tc_fun(_u10778, tc_HOL_Obool), hAPP(c_Set_Oinsert(_u10778), _u10779)), hAPP(c_Set_OPow(_u10778), _u10780)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_transfer__nat__int__set__relations_I1_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_transfer__nat__int__set__relations_I1_J-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u10782)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10782))) )).
% 19.51/19.71 cnf(fact_transfer__nat__int__set__relations_I1_J-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10783))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u10783)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u10784) = hAPP(c_Finite__Set_Ocard(tc_Int_Oint), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10784))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Compl__greaterThan ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Compl__greaterThan-1, axiom, ( ~class_Orderings_Olinorder(_u10785) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u10785, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u10785), _u10786)) = hAPP(c_SetInterval_Oord__class_OatMost(_u10785), _u10786)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Compl__atMost ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Compl__atMost-1, axiom, ( ~class_Orderings_Olinorder(_u10787) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u10787, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10787), _u10788)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u10787), _u10788)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_INT__greaterThan__UNIV ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_INT__greaterThan__UNIV-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_SetInterval_Otransfer__nat__int__set__functions_I2_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10789, _u10790) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10789), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10790)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_image__add__int__atLeastLessThan ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_image__add__int__atLeastLessThan-1, axiom, ( ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Int_Oint, hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Int_Oint)), _u10791)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10792), _u10791))) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u10791), _u10792)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_image__ident ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_image__ident-1, axiom, ( ( hAPP(c_Set_Oimage(_u10793, _u10793, c_COMBI(_u10793)), _u10794) = _u10794) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__int_I7_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__int_I7_J-1, axiom, ( ~class_Orderings_Oorder(_u10795) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10795, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10795, _u10796, _u10797)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u10795), _u10797)) = c_Orderings_Obot__class_Obot(tc_fun(_u10795, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__un_I11_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__un_I11_J-1, axiom, ( ~class_Orderings_Olinorder(_u10798) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10798), _u10799), _u10800)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10798, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10798, _u10799, _u10800)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u10798), _u10800)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u10798), _u10799)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_image__uminus__lessThan ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_image__uminus__lessThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u10801) | ( hAPP(c_Set_Oimage(_u10801, _u10801, c_Groups_Ouminus__class_Ouminus(_u10801)), hAPP(c_SetInterval_Oord__class_OlessThan(_u10801), _u10802)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u10801), hAPP(c_Groups_Ouminus__class_Ouminus(_u10801), _u10802))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_image__uminus__greaterThan ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_image__uminus__greaterThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u10803) | ( hAPP(c_Set_Oimage(_u10803, _u10803, c_Groups_Ouminus__class_Ouminus(_u10803)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u10803), _u10804)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u10803), hAPP(c_Groups_Ouminus__class_Ouminus(_u10803), _u10804))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__int_I5_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__int_I5_J-1, axiom, ( ~class_Orderings_Oorder(_u10805) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10805, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10805, _u10806, _u10807)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u10805), _u10807)) = c_Orderings_Obot__class_Obot(tc_fun(_u10805, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_greaterThan__Suc ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_greaterThan__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10808)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u10808)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10808)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_SetInterval_Otransfer__nat__int__set__functions_I1_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10809) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10809)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_SetInterval_Otransfer__int__nat__set__functions ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_SetInterval_Otransfer__int__nat__set__functions-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u10810) | ~c_Nat__Transfer_Ois__nat(_u10811) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u10810, _u10811) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Int_Onat, _u10810), hAPP(c_Int_Onat, _u10811)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_image__atLeastZeroLessThan__int ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_image__atLeastZeroLessThan__int-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10812)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10812) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Int_Onat, _u10812)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_fun__upd__image ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_fun__upd__image-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10819), _u10821), _u10823)) | ( hAPP(c_Set_Oimage(_u10819, _u10825, c_Fun_Ofun__upd(_u10819, _u10825, _u10827, _u10821, _u10829)), _u10823) = hAPP(hAPP(c_Set_Oinsert(_u10825), _u10829), hAPP(c_Set_Oimage(_u10819, _u10825, _u10827), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10819, tc_HOL_Obool)), _u10823), hAPP(hAPP(c_Set_Oinsert(_u10819), _u10821), c_Orderings_Obot__class_Obot(tc_fun(_u10819, tc_HOL_Obool))))))) )).
% 19.51/19.71 cnf(fact_fun__upd__image-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u10820), _u10822), _u10824)) | ( hAPP(c_Set_Oimage(_u10820, _u10826, c_Fun_Ofun__upd(_u10820, _u10826, _u10828, _u10822, _u10830)), _u10824) = hAPP(c_Set_Oimage(_u10820, _u10826, _u10828), _u10824)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_OSup__fin_Ohom__commute ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_OSup__fin_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u10833) | ( hAPP(_u10834, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10833), skolem240(_u10835, _u10834, _u10833)), skolem241(_u10835, _u10834, _u10833))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10833), hAPP(_u10834, skolem240(_u10835, _u10834, _u10833))), hAPP(_u10834, skolem241(_u10835, _u10834, _u10833)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10833), _u10835)) | ( _u10835 = c_Orderings_Obot__class_Obot(tc_fun(_u10833, tc_HOL_Obool))) | ( hAPP(_u10834, c_Big__Operators_Olattice_OSup__fin(_u10833, c_Orderings_Oord__class_Omax(_u10833), _u10835)) = c_Big__Operators_Olattice_OSup__fin(_u10833, c_Orderings_Oord__class_Omax(_u10833), hAPP(c_Set_Oimage(_u10833, _u10833, _u10834), _u10835))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_min__max_OInf__fin_Ohom__commute ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_min__max_OInf__fin_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u10838) | ( hAPP(_u10839, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10838), skolem242(_u10840, _u10839, _u10838)), skolem243(_u10840, _u10839, _u10838))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10838), hAPP(_u10839, skolem242(_u10840, _u10839, _u10838))), hAPP(_u10839, skolem243(_u10840, _u10839, _u10838)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10838), _u10840)) | ( _u10840 = c_Orderings_Obot__class_Obot(tc_fun(_u10838, tc_HOL_Obool))) | ( hAPP(_u10839, c_Big__Operators_Olattice_OInf__fin(_u10838, c_Orderings_Oord__class_Omin(_u10838), _u10840)) = c_Big__Operators_Olattice_OInf__fin(_u10838, c_Orderings_Oord__class_Omin(_u10838), hAPP(c_Set_Oimage(_u10838, _u10838, _u10839), _u10840))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_fun__upd__triv ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_fun__upd__triv-1, axiom, ( ( c_Fun_Ofun__upd(_u10841, _u10842, _u10843, _u10844, hAPP(_u10843, _u10844)) = _u10843) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_fun__upd__idem ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_fun__upd__idem-1, axiom, ( ( hAPP(_u10845, _u10846) != _u10847) | ( c_Fun_Ofun__upd(_u10848, _u10849, _u10845, _u10846, _u10847) = _u10845) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_fun__upd__other ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_fun__upd__other-1, axiom, ( ( _u10850 = _u10851) | ( hAPP(c_Fun_Ofun__upd(_u10852, _u10853, _u10854, _u10851, _u10855), _u10850) = hAPP(_u10854, _u10850)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_fun__upd__twist ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_fun__upd__twist-1, axiom, ( ( _u10856 = _u10857) | ( c_Fun_Ofun__upd(_u10858, _u10859, c_Fun_Ofun__upd(_u10858, _u10859, _u10860, _u10856, _u10861), _u10857, _u10862) = c_Fun_Ofun__upd(_u10858, _u10859, c_Fun_Ofun__upd(_u10858, _u10859, _u10860, _u10857, _u10862), _u10856, _u10861)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_fun__upd__apply ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_fun__upd__apply-1, axiom, ( ( _u10869 != _u10871) | ( hAPP(c_Fun_Ofun__upd(_u10873, _u10875, _u10877, _u10871, _u10879), _u10869) = _u10879) )).
% 19.51/19.71 cnf(fact_fun__upd__apply-2, axiom, ( ( _u10870 = _u10872) | ( hAPP(c_Fun_Ofun__upd(_u10874, _u10876, _u10878, _u10872, _u10880), _u10870) = hAPP(_u10878, _u10870)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_fun__upd__same ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_fun__upd__same-1, axiom, ( ( hAPP(c_Fun_Ofun__upd(_u10881, _u10882, _u10883, _u10884, _u10885), _u10884) = _u10885) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_fun__upd__upd ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_fun__upd__upd-1, axiom, ( ( c_Fun_Ofun__upd(_u10886, _u10887, c_Fun_Ofun__upd(_u10886, _u10887, _u10888, _u10889, _u10890), _u10889, _u10891) = c_Fun_Ofun__upd(_u10886, _u10887, _u10888, _u10889, _u10891)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_fun__upd__idem__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_fun__upd__idem__iff-1, axiom, ( ( hAPP(_u10901, _u10903) = _u10905) | ( c_Fun_Ofun__upd(_u10897, _u10899, _u10901, _u10903, _u10905) != _u10901) )).
% 19.51/19.71 cnf(fact_fun__upd__idem__iff-2, axiom, ( ( hAPP(_u10902, _u10904) != _u10906) | ( c_Fun_Ofun__upd(_u10898, _u10900, _u10902, _u10904, _u10906) = _u10902) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_fun__upd__def ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_fun__upd__def-1, axiom, ( ( _u10913 != _u10915) | ( hAPP(c_Fun_Ofun__upd(_u10917, _u10919, _u10921, _u10915, _u10923), _u10913) = _u10923) )).
% 19.51/19.71 cnf(fact_fun__upd__def-2, axiom, ( ( _u10914 = _u10916) | ( hAPP(c_Fun_Ofun__upd(_u10918, _u10920, _u10922, _u10916, _u10924), _u10914) = hAPP(_u10922, _u10914)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u10925) | ~c_Nat__Transfer_Onat__set(_u10926) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10925), _u10926) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10925)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10926)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u10927) | ~c_Nat__Transfer_Onat__set(_u10928) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10927), _u10928) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10927)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10928)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_transfer__int__nat__sum__prod_I2_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_transfer__int__nat__sum__prod_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10929) | ~class_Groups_Ocomm__monoid__mult(_u10929) | ~c_Nat__Transfer_Onat__set(_u10930) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u10929), _u10931), _u10930) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u10929), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u10929, tc_Nat_Onat), _u10931), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10930))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J-1, axiom, ( c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u10932) | ~c_Nat__Transfer_Onat__set(_u10933) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10932), _u10933)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u10934) | ~c_Nat__Transfer_Onat__set(_u10935) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10934), _u10935)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_nat__set__def ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_nat__set__def-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u10939) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10936), _u10939)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10936)) )).
% 19.51/19.71 cnf(fact_nat__set__def-2, axiom, ( c_Nat__Transfer_Onat__set(_u10940) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem244(_u10940)), _u10940)) )).
% 19.51/19.71 cnf(fact_nat__set__def-3, axiom, ( c_Nat__Transfer_Onat__set(_u10940) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem244(_u10940))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J-1, axiom, ( c_Nat__Transfer_Onat__set(hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10941)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_transfer__int__nat__set__relations_I3_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_transfer__int__nat__set__relations_I3_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u10942) | ~c_Nat__Transfer_Onat__set(_u10943) | ( _u10942 != _u10943) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10942) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10943)) )).
% 19.51/19.71 cnf(fact_transfer__int__nat__set__relations_I3_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u10942) | ~c_Nat__Transfer_Onat__set(_u10943) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10942) != hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10943)) | ( _u10942 = _u10943) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_SetInterval_Otransfer__int__nat__set__function__closures ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_SetInterval_Otransfer__int__nat__set__function__closures-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u10944) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u10944, _u10945)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u10946) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10947), _u10946)) | c_Nat__Transfer_Ois__nat(_u10947) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_SetInterval_Otransfer__nat__int__set__function__closures ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_SetInterval_Otransfer__nat__int__set__function__closures-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10948)) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u10948, _u10949)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u10950) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10951), _u10950)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10951)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_transfer__nat__int__set__return__embed ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_transfer__nat__int__set__return__embed-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u10952) | ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10952)) = _u10952) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_transfer__int__nat__set__relations_I1_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_transfer__int__nat__set__relations_I1_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u10953) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u10953)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10953))) )).
% 19.51/19.71 cnf(fact_transfer__int__nat__set__relations_I1_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u10953) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10953))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u10953)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u10954) | ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), _u10954) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10954))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_transfer__int__nat__set__relations_I2_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_transfer__int__nat__set__relations_I2_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u10955) | ~c_Nat__Transfer_Onat__set(_u10956) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10955), _u10956)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u10955)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10956))) )).
% 19.51/19.71 cnf(fact_transfer__int__nat__set__relations_I2_J-2, axiom, ( ~c_Nat__Transfer_Ois__nat(_u10955) | ~c_Nat__Transfer_Onat__set(_u10956) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u10955)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10956))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10955), _u10956)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_transfer__int__nat__set__relations_I5_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_transfer__int__nat__set__relations_I5_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u10957) | ~c_Nat__Transfer_Onat__set(_u10958) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10957), _u10958)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10957)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10958))) )).
% 19.51/19.71 cnf(fact_transfer__int__nat__set__relations_I5_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u10957) | ~c_Nat__Transfer_Onat__set(_u10958) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10957)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10958))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10957), _u10958)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_transfer__int__nat__set__relations_I4_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_transfer__int__nat__set__relations_I4_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u10959) | ~c_Nat__Transfer_Onat__set(_u10960) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10959), _u10960)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10959)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10960))) )).
% 19.51/19.71 cnf(fact_transfer__int__nat__set__relations_I4_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u10959) | ~c_Nat__Transfer_Onat__set(_u10960) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10959)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10960))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10959), _u10960)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_transfer__int__nat__sum__prod_I1_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_transfer__int__nat__sum__prod_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u10961) | ~class_Groups_Ocomm__monoid__mult(_u10961) | ~c_Nat__Transfer_Onat__set(_u10962) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u10961), _u10963), _u10962) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10961), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u10961, tc_Nat_Onat), _u10963), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10962))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atLeast__Suc ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atLeast__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10964)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), _u10964)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u10964), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Max_Ohom__commute ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Max_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u10967) | ( hAPP(_u10968, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10967), skolem245(_u10969, _u10968, _u10967)), skolem246(_u10969, _u10968, _u10967))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10967), hAPP(_u10968, skolem245(_u10969, _u10968, _u10967))), hAPP(_u10968, skolem246(_u10969, _u10968, _u10967)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10967), _u10969)) | ( _u10969 = c_Orderings_Obot__class_Obot(tc_fun(_u10967, tc_HOL_Obool))) | ( hAPP(_u10968, c_Big__Operators_Olinorder__class_OMax(_u10967, _u10969)) = c_Big__Operators_Olinorder__class_OMax(_u10967, hAPP(c_Set_Oimage(_u10967, _u10967, _u10968), _u10969))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Min_Ohom__commute ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Min_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u10972) | ( hAPP(_u10973, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10972), skolem247(_u10974, _u10973, _u10972)), skolem248(_u10974, _u10973, _u10972))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10972), hAPP(_u10973, skolem247(_u10974, _u10973, _u10972))), hAPP(_u10973, skolem248(_u10974, _u10973, _u10972)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10972), _u10974)) | ( _u10974 = c_Orderings_Obot__class_Obot(tc_fun(_u10972, tc_HOL_Obool))) | ( hAPP(_u10973, c_Big__Operators_Olinorder__class_OMin(_u10972, _u10974)) = c_Big__Operators_Olinorder__class_OMin(_u10972, hAPP(c_Set_Oimage(_u10972, _u10972, _u10973), _u10974))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atLeast__eq__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atLeast__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u10975) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u10975), _u10976) != hAPP(c_SetInterval_Oord__class_OatLeast(_u10975), _u10977)) | ( _u10976 = _u10977) )).
% 19.51/19.71 cnf(fact_atLeast__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u10975) | ( _u10976 != _u10977) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u10975), _u10976) = hAPP(c_SetInterval_Oord__class_OatLeast(_u10975), _u10977)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atLeast__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atLeast__iff-1, axiom, ( ~class_Orderings_Oord(_u10978) | ~hBOOL(hAPP(hAPP(c_member(_u10978), _u10979), hAPP(c_SetInterval_Oord__class_OatLeast(_u10978), _u10980))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10978), _u10980), _u10979)) )).
% 19.51/19.71 cnf(fact_atLeast__iff-2, axiom, ( ~class_Orderings_Oord(_u10978) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10978), _u10980), _u10979)) | hBOOL(hAPP(hAPP(c_member(_u10978), _u10979), hAPP(c_SetInterval_Oord__class_OatLeast(_u10978), _u10980))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atLeast__subset__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atLeast__subset__iff-1, axiom, ( ~class_Orderings_Oorder(_u10981) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10981, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u10981), _u10982)), hAPP(c_SetInterval_Oord__class_OatLeast(_u10981), _u10983))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10981), _u10983), _u10982)) )).
% 19.51/19.71 cnf(fact_atLeast__subset__iff-2, axiom, ( ~class_Orderings_Oorder(_u10981) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10981), _u10983), _u10982)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10981, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u10981), _u10982)), hAPP(c_SetInterval_Oord__class_OatLeast(_u10981), _u10983))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atLeast__0 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atLeast__0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Compl__lessThan ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Compl__lessThan-1, axiom, ( ~class_Orderings_Olinorder(_u10984) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u10984, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u10984), _u10985)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u10984), _u10985)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Compl__atLeast ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Compl__atLeast-1, axiom, ( ~class_Orderings_Olinorder(_u10986) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u10986, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u10986), _u10987)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u10986), _u10987)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atLeast__Suc__greaterThan ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atLeast__Suc__greaterThan-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10988)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u10988)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__un_I14_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__un_I14_J-1, axiom, ( ~class_Orderings_Olinorder(_u10989) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10989), _u10990), _u10991)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10989, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10989, _u10990), _u10991)), hAPP(c_SetInterval_Oord__class_OatLeast(_u10989), _u10991)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u10989), _u10990)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__int_I8_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__int_I8_J-1, axiom, ( ~class_Orderings_Oorder(_u10992) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10992, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10992, _u10993), _u10994)), hAPP(c_SetInterval_Oord__class_OatLeast(_u10992), _u10994)) = c_Orderings_Obot__class_Obot(tc_fun(_u10992, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Int__atLeastAtMostR2 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Int__atLeastAtMostR2-1, axiom, ( ~class_Orderings_Olinorder(_u10995) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10995, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u10995), _u10996)), c_SetInterval_Oord__class_OatLeastAtMost(_u10995, _u10997, _u10998)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10995, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10995), _u10996), _u10997), _u10998)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Int__atLeastAtMostL2 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Int__atLeastAtMostL2-1, axiom, ( ~class_Orderings_Olinorder(_u10999) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10999, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10999, _u11000, _u11001)), hAPP(c_SetInterval_Oord__class_OatLeast(_u10999), _u11002)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10999, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10999), _u11000), _u11002), _u11001)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__atLeast__UNIV ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__atLeast__UNIV-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__int_I6_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__int_I6_J-1, axiom, ( ~class_Orderings_Oorder(_u11003) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11003, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11003, _u11004, _u11005)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11003), _u11005)) = c_Orderings_Obot__class_Obot(tc_fun(_u11003, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_image__uminus__atMost ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_image__uminus__atMost-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11006) | ( hAPP(c_Set_Oimage(_u11006, _u11006, c_Groups_Ouminus__class_Ouminus(_u11006)), hAPP(c_SetInterval_Oord__class_OatMost(_u11006), _u11007)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11006), hAPP(c_Groups_Ouminus__class_Ouminus(_u11006), _u11007))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_image__uminus__atLeast ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_image__uminus__atLeast-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11008) | ( hAPP(c_Set_Oimage(_u11008, _u11008, c_Groups_Ouminus__class_Ouminus(_u11008)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11008), _u11009)) = hAPP(c_SetInterval_Oord__class_OatMost(_u11008), hAPP(c_Groups_Ouminus__class_Ouminus(_u11008), _u11009))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_atMost__Int__atLeast ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_atMost__Int__atLeast-1, axiom, ( ~class_Orderings_Oorder(_u11010) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11010, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11010), _u11011)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11010), _u11011)) = hAPP(hAPP(c_Set_Oinsert(_u11010), _u11011), c_Orderings_Obot__class_Obot(tc_fun(_u11010, tc_HOL_Obool)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__un_I1_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__un_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u11012) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11012, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11012), _u11013), c_Orderings_Obot__class_Obot(tc_fun(_u11012, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11012), _u11013)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11012), _u11013)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__un_I13_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__un_I13_J-1, axiom, ( ~class_Orderings_Olinorder(_u11014) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11014), _u11015), _u11016)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11014, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11014, _u11015, _u11016)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11014), _u11016)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11014), _u11015)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ivl__disj__un_I12_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ivl__disj__un_I12_J-1, axiom, ( ~class_Orderings_Olinorder(_u11017) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11017), _u11018), _u11019)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11017, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11017, _u11018, _u11019)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11017), _u11019)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11017), _u11018)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Inf__fin_Ohom__commute ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Inf__fin_Ohom__commute-1, axiom, ( ~class_Lattices_Olattice(_u11022) | ( hAPP(_u11023, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11022), skolem249(_u11024, _u11023, _u11022)), skolem250(_u11024, _u11023, _u11022))) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11022), hAPP(_u11023, skolem249(_u11024, _u11023, _u11022))), hAPP(_u11023, skolem250(_u11024, _u11023, _u11022)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11022), _u11024)) | ( _u11024 = c_Orderings_Obot__class_Obot(tc_fun(_u11022, tc_HOL_Obool))) | ( hAPP(_u11023, c_Big__Operators_Olattice__class_OInf__fin(_u11022, _u11024)) = c_Big__Operators_Olattice__class_OInf__fin(_u11022, hAPP(c_Set_Oimage(_u11022, _u11022, _u11023), _u11024))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Sup__fin_Ohom__commute ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Sup__fin_Ohom__commute-1, axiom, ( ~class_Lattices_Olattice(_u11027) | ( hAPP(_u11028, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11027), skolem251(_u11029, _u11028, _u11027)), skolem252(_u11029, _u11028, _u11027))) != hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11027), hAPP(_u11028, skolem251(_u11029, _u11028, _u11027))), hAPP(_u11028, skolem252(_u11029, _u11028, _u11027)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11027), _u11029)) | ( _u11029 = c_Orderings_Obot__class_Obot(tc_fun(_u11027, tc_HOL_Obool))) | ( hAPP(_u11028, c_Big__Operators_Olattice__class_OSup__fin(_u11027, _u11029)) = c_Big__Operators_Olattice__class_OSup__fin(_u11027, hAPP(c_Set_Oimage(_u11027, _u11027, _u11028), _u11029))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_hom__fold1__commute ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_hom__fold1__commute-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u11032) | ( hAPP(_u11033, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11032), skolem253(_u11034, _u11033, _u11032)), skolem254(_u11034, _u11033, _u11032))) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11032), hAPP(_u11033, skolem253(_u11034, _u11033, _u11032))), hAPP(_u11033, skolem254(_u11034, _u11033, _u11032)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11032), _u11034)) | ( _u11034 = c_Orderings_Obot__class_Obot(tc_fun(_u11032, tc_HOL_Obool))) | ( hAPP(_u11033, hAPP(c_Finite__Set_Ofold1(_u11032, c_Groups_Otimes__class_Otimes(_u11032)), _u11034)) = hAPP(c_Finite__Set_Ofold1(_u11032, c_Groups_Otimes__class_Otimes(_u11032)), hAPP(c_Set_Oimage(_u11032, _u11032, _u11033), _u11034))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_equiv__intrel__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_equiv__intrel__iff-1, axiom, ( ( hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11037), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))) != hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11039), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))) | 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)), _u11037), _u11039)), c_Int_Ointrel)) )).
% 19.51/19.71 cnf(fact_equiv__intrel__iff-2, axiom, ( ~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)), _u11038), _u11040)), c_Int_Ointrel)) | ( hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11038), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))) = hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11040), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_transfer__nat__int__sum__prod__cong_I2_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_transfer__nat__int__sum__prod__cong_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11042) | ~class_Groups_Ocomm__monoid__mult(_u11042) | ( _u11043 != _u11044) | ~c_Nat__Transfer_Onat__set(_u11044) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11042), _u11045), _u11043) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11042), _u11046), _u11044)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem255(_u11046, _u11045, _u11044, _u11043, _u11042))) )).
% 19.51/19.71 cnf(fact_transfer__nat__int__sum__prod__cong_I2_J-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11042) | ~class_Groups_Ocomm__monoid__mult(_u11042) | ( _u11043 != _u11044) | ~c_Nat__Transfer_Onat__set(_u11044) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11042), _u11045), _u11043) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11042), _u11046), _u11044)) | ( hAPP(_u11045, skolem255(_u11046, _u11045, _u11044, _u11043, _u11042)) != hAPP(_u11046, skolem255(_u11046, _u11045, _u11044, _u11043, _u11042))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_transfer__nat__int__sum__prod__cong_I1_J ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_transfer__nat__int__sum__prod__cong_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11048) | ~class_Groups_Ocomm__monoid__mult(_u11048) | ( _u11049 != _u11050) | ~c_Nat__Transfer_Onat__set(_u11050) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u11048), _u11051), _u11049) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u11048), _u11052), _u11050)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem256(_u11052, _u11051, _u11050, _u11049, _u11048))) )).
% 19.51/19.71 cnf(fact_transfer__nat__int__sum__prod__cong_I1_J-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u11048) | ~class_Groups_Ocomm__monoid__mult(_u11048) | ( _u11049 != _u11050) | ~c_Nat__Transfer_Onat__set(_u11050) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u11048), _u11051), _u11049) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u11048), _u11052), _u11050)) | ( hAPP(_u11051, skolem256(_u11052, _u11051, _u11050, _u11049, _u11048)) != hAPP(_u11052, skolem256(_u11052, _u11051, _u11050, _u11049, _u11048))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Image__UN ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Image__UN-1, axiom, ( ( hAPP(c_Relation_OImage(_u11053, _u11054, _u11055), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11056, tc_fun(_u11053, tc_HOL_Obool)), _u11057), _u11058)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11056, tc_fun(_u11054, tc_HOL_Obool)), _u11057), hAPP(hAPP(c_COMBB(tc_fun(_u11053, tc_HOL_Obool), tc_fun(_u11054, tc_HOL_Obool), _u11056), c_Relation_OImage(_u11053, _u11054, _u11055)), _u11058))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Image__empty ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Image__empty-1, axiom, ( ( hAPP(c_Relation_OImage(_u11059, _u11060, _u11061), c_Orderings_Obot__class_Obot(tc_fun(_u11059, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u11060, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Image__Un ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Image__Un-1, axiom, ( ( hAPP(c_Relation_OImage(_u11062, _u11063, _u11064), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11062, tc_HOL_Obool)), _u11065), _u11066)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11063, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11062, _u11063, _u11064), _u11065)), hAPP(c_Relation_OImage(_u11062, _u11063, _u11064), _u11066))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Image__Int__subset ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Image__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11067, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11068, _u11067, _u11069), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11068, tc_HOL_Obool)), _u11070), _u11071))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11067, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11068, _u11067, _u11069), _u11070)), hAPP(c_Relation_OImage(_u11068, _u11067, _u11069), _u11071)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Image__mono ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Image__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u11072, _u11073), tc_HOL_Obool)), _u11074), _u11075)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11072, tc_HOL_Obool)), _u11076), _u11077)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11073, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11072, _u11073, _u11074), _u11076)), hAPP(c_Relation_OImage(_u11072, _u11073, _u11075), _u11077))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Un__Image ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Un__Image-1, axiom, ( ( hAPP(c_Relation_OImage(_u11078, _u11079, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u11078, _u11079), tc_HOL_Obool)), _u11080), _u11081)), _u11082) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11079, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11078, _u11079, _u11080), _u11082)), hAPP(c_Relation_OImage(_u11078, _u11079, _u11081), _u11082))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Image__Id__on ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Image__Id__on-1, axiom, ( ( hAPP(c_Relation_OImage(_u11083, _u11083, c_Relation_OId__on(_u11083, _u11084)), _u11085) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11083, tc_HOL_Obool)), _u11084), _u11085)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Image__INT__subset ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Image__INT__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11086, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11087, _u11086, _u11088), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11089, tc_fun(_u11087, tc_HOL_Obool)), _u11090), _u11091))), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11089, tc_fun(_u11086, tc_HOL_Obool)), _u11090), hAPP(hAPP(c_COMBB(tc_fun(_u11087, tc_HOL_Obool), tc_fun(_u11086, tc_HOL_Obool), _u11089), c_Relation_OImage(_u11087, _u11086, _u11088)), _u11091)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Image__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11099), _u11101), hAPP(c_Relation_OImage(_u11103, _u11099, _u11105), _u11107))) | hBOOL(hAPP(hAPP(c_member(_u11103), skolem257(_u11107, _u11105, _u11103, _u11101, _u11099)), _u11107)) )).
% 19.51/19.71 cnf(fact_Image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11099), _u11101), hAPP(c_Relation_OImage(_u11103, _u11099, _u11105), _u11107))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11103, _u11099)), hAPP(hAPP(c_Product__Type_OPair(_u11103, _u11099), skolem257(_u11107, _u11105, _u11103, _u11101, _u11099)), _u11101)), _u11105)) )).
% 19.51/19.71 cnf(fact_Image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11104), _u11093), _u11108)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11104, _u11100)), hAPP(hAPP(c_Product__Type_OPair(_u11104, _u11100), _u11093), _u11102)), _u11106)) | hBOOL(hAPP(hAPP(c_member(_u11100), _u11102), hAPP(c_Relation_OImage(_u11104, _u11100, _u11106), _u11108))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_rev__ImageI ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_rev__ImageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11109), _u11110), _u11111)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11109, _u11112)), hAPP(hAPP(c_Product__Type_OPair(_u11109, _u11112), _u11110), _u11113)), _u11114)) | hBOOL(hAPP(hAPP(c_member(_u11112), _u11113), hAPP(c_Relation_OImage(_u11109, _u11112, _u11114), _u11111))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Image__eq__UN ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Image__eq__UN-1, axiom, ( ( hAPP(c_Relation_OImage(_u11115, _u11116, _u11117), _u11118) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11115, tc_fun(_u11116, tc_HOL_Obool)), _u11118), hAPP(hAPP(c_COMBB(tc_fun(_u11115, tc_HOL_Obool), tc_fun(_u11116, tc_HOL_Obool), _u11115), c_Relation_OImage(_u11115, _u11116, _u11117)), hAPP(hAPP(c_COMBC(_u11115, tc_fun(_u11115, tc_HOL_Obool), tc_fun(_u11115, tc_HOL_Obool)), c_Set_Oinsert(_u11115)), c_Orderings_Obot__class_Obot(tc_fun(_u11115, tc_HOL_Obool)))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Image__singleton__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Image__singleton__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11124), _u11126), hAPP(c_Relation_OImage(_u11128, _u11124, _u11130), hAPP(hAPP(c_Set_Oinsert(_u11128), _u11132), c_Orderings_Obot__class_Obot(tc_fun(_u11128, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11128, _u11124)), hAPP(hAPP(c_Product__Type_OPair(_u11128, _u11124), _u11132), _u11126)), _u11130)) )).
% 19.51/19.71 cnf(fact_Image__singleton__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11129, _u11125)), hAPP(hAPP(c_Product__Type_OPair(_u11129, _u11125), _u11133), _u11127)), _u11131)) | hBOOL(hAPP(hAPP(c_member(_u11125), _u11127), hAPP(c_Relation_OImage(_u11129, _u11125, _u11131), hAPP(hAPP(c_Set_Oinsert(_u11129), _u11133), c_Orderings_Obot__class_Obot(tc_fun(_u11129, tc_HOL_Obool)))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_of__int ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_of__int-1, axiom, ( ~class_Rings_Oring__1(_u11134) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11134), hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11135), _u11136)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11134), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11134), _u11135)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11134), _u11136))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_One__int__def ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_One__int__def-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_mult ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_mult-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11137), _u11138)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))), hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11139), _u11140)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) = hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11137), _u11139)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11138), _u11140))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11137), _u11140)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11138), _u11139)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Rep__Integ__inverse ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Rep__Integ__inverse-1, axiom, ( ( hAPP(c_Int_OAbs__Integ, hAPP(c_Int_ORep__Integ, _u11141)) = _u11141) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_minus ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_minus-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11142), _u11143)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) = hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11143), _u11142)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Zero__int__def ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Zero__int__def-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_int__def ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_int__def-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u11144) = hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11144), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_add ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_add-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11145), _u11146)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))), hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11147), _u11148)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) = hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11145), _u11147)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11146), _u11148))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_nat ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_nat-1, axiom, ( ( hAPP(c_Int_Onat, hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11149), _u11150)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11149), _u11150)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_minus__int__def ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_minus__int__def-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11151) = hAPP(c_Int_OAbs__Integ, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), hAPP(c_Int_ORep__Integ, _u11151)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(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_Nat_Onat), c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(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_fun(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), tc_Nat_Onat), c_COMBC(tc_Nat_Onat, 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_COMBB(tc_fun(tc_Nat_Onat, tc_prod(tc_Nat_Onat, tc_Nat_Onat)), tc_fun(tc_Nat_Onat, tc_fun(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_Nat_Onat), hAPP(c_COMBB(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_fun(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_Nat_Onat), c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)))), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_prod(tc_Nat_Onat, tc_Nat_Onat)), c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat))))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_less ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11156), _u11158)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))), hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11160), _u11162)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11156), _u11162)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11160), _u11158))) )).
% 19.51/19.71 cnf(fact_less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11157), _u11163)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11161), _u11159))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11157), _u11159)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))), hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11161), _u11163)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_le ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11168), _u11170)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))), hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11172), _u11174)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11168), _u11174)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11172), _u11170))) )).
% 19.51/19.71 cnf(fact_le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11169), _u11175)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11173), _u11171))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11169), _u11171)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))), hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11173), _u11175)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_eq__Abs__Integ ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_eq__Abs__Integ-1, axiom, ( ( _u11178 = hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), skolem258(_u11178)), skolem259(_u11178))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_quotient__def ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_quotient__def-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11179), _u11180), _u11181) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11179, tc_fun(tc_fun(_u11179, tc_HOL_Obool), tc_HOL_Obool)), _u11180), hAPP(hAPP(c_COMBC(_u11179, tc_fun(tc_fun(_u11179, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u11179, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11179, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u11179, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u11179, tc_HOL_Obool), tc_HOL_Obool)), _u11179), c_Set_Oinsert(tc_fun(_u11179, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u11179, tc_HOL_Obool), tc_fun(_u11179, tc_HOL_Obool), _u11179), c_Relation_OImage(_u11179, _u11179, _u11181)), hAPP(hAPP(c_COMBC(_u11179, tc_fun(_u11179, tc_HOL_Obool), tc_fun(_u11179, tc_HOL_Obool)), c_Set_Oinsert(_u11179)), c_Orderings_Obot__class_Obot(tc_fun(_u11179, tc_HOL_Obool)))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11179, tc_HOL_Obool), tc_HOL_Obool))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_ImageE ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_ImageE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11183), _u11184), hAPP(c_Relation_OImage(_u11185, _u11183, _u11186), _u11187))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11185, _u11183)), hAPP(hAPP(c_Product__Type_OPair(_u11185, _u11183), skolem260(_u11187, _u11186, _u11185, _u11184, _u11183)), _u11184)), _u11186)) )).
% 19.51/19.71 cnf(fact_ImageE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11183), _u11184), hAPP(c_Relation_OImage(_u11185, _u11183, _u11186), _u11187))) | hBOOL(hAPP(hAPP(c_member(_u11185), skolem260(_u11187, _u11186, _u11185, _u11184, _u11183)), _u11187)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_quotient__is__empty ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_quotient__is__empty-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11191), _u11193), _u11195) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11191, tc_HOL_Obool), tc_HOL_Obool))) | ( _u11193 = c_Orderings_Obot__class_Obot(tc_fun(_u11191, tc_HOL_Obool))) )).
% 19.51/19.71 cnf(fact_quotient__is__empty-2, axiom, ( ( _u11194 != c_Orderings_Obot__class_Obot(tc_fun(_u11192, tc_HOL_Obool))) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11192), _u11194), _u11196) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11192, tc_HOL_Obool), tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_quotient__is__empty2 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_quotient__is__empty2-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11200, tc_HOL_Obool), tc_HOL_Obool)) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11200), _u11202), _u11204)) | ( _u11202 = c_Orderings_Obot__class_Obot(tc_fun(_u11200, tc_HOL_Obool))) )).
% 19.51/19.71 cnf(fact_quotient__is__empty2-2, axiom, ( ( _u11203 != c_Orderings_Obot__class_Obot(tc_fun(_u11201, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11201, tc_HOL_Obool), tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11201), _u11203), _u11205)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_quotient__empty ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_quotient__empty-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11206), c_Orderings_Obot__class_Obot(tc_fun(_u11206, tc_HOL_Obool))), _u11207) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11206, tc_HOL_Obool), tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_quotientI ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_quotientI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11208), _u11209), _u11210)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11208, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11208, _u11208, _u11211), hAPP(hAPP(c_Set_Oinsert(_u11208), _u11209), c_Orderings_Obot__class_Obot(tc_fun(_u11208, tc_HOL_Obool))))), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11208), _u11210), _u11211))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_singleton__quotient ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_singleton__quotient-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11212), hAPP(hAPP(c_Set_Oinsert(_u11212), _u11213), c_Orderings_Obot__class_Obot(tc_fun(_u11212, tc_HOL_Obool)))), _u11214) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u11212, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11212, _u11212, _u11214), hAPP(hAPP(c_Set_Oinsert(_u11212), _u11213), c_Orderings_Obot__class_Obot(tc_fun(_u11212, tc_HOL_Obool))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11212, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_equiv__class__nondisjoint ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_equiv__class__nondisjoint-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11215, _u11216, _u11217) | ~hBOOL(hAPP(hAPP(c_member(_u11215), _u11218), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11215, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11215, _u11215, _u11217), hAPP(hAPP(c_Set_Oinsert(_u11215), _u11219), c_Orderings_Obot__class_Obot(tc_fun(_u11215, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u11215, _u11215, _u11217), hAPP(hAPP(c_Set_Oinsert(_u11215), _u11220), c_Orderings_Obot__class_Obot(tc_fun(_u11215, tc_HOL_Obool))))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11215, _u11215)), hAPP(hAPP(c_Product__Type_OPair(_u11215, _u11215), _u11219), _u11220)), _u11217)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_subset__equiv__class ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_subset__equiv__class-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11221, _u11222, _u11223) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11221, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11221, _u11221, _u11223), hAPP(hAPP(c_Set_Oinsert(_u11221), _u11224), c_Orderings_Obot__class_Obot(tc_fun(_u11221, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u11221, _u11221, _u11223), hAPP(hAPP(c_Set_Oinsert(_u11221), _u11225), c_Orderings_Obot__class_Obot(tc_fun(_u11221, tc_HOL_Obool)))))) | ~hBOOL(hAPP(hAPP(c_member(_u11221), _u11224), _u11222)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11221, _u11221)), hAPP(hAPP(c_Product__Type_OPair(_u11221, _u11221), _u11225), _u11224)), _u11223)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_quotientE ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_quotientE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11227, tc_HOL_Obool)), _u11228), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11227), _u11229), _u11230))) | ( _u11228 = hAPP(c_Relation_OImage(_u11227, _u11227, _u11230), hAPP(hAPP(c_Set_Oinsert(_u11227), skolem261(_u11230, _u11229, _u11228, _u11227)), c_Orderings_Obot__class_Obot(tc_fun(_u11227, tc_HOL_Obool))))) )).
% 19.51/19.71 cnf(fact_quotientE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11227, tc_HOL_Obool)), _u11228), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11227), _u11229), _u11230))) | hBOOL(hAPP(hAPP(c_member(_u11227), skolem261(_u11230, _u11229, _u11228, _u11227)), _u11229)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_equiv__intrel ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_equiv__intrel-1, axiom, ( c_Equiv__Relations_Oequiv(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Int_Ointrel) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Union__quotient ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Union__quotient-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11231, _u11232, _u11233) | ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u11231, tc_HOL_Obool), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11231), _u11232), _u11233)) = _u11232) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_equiv__class__self ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_equiv__class__self-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11234, _u11235, _u11236) | ~hBOOL(hAPP(hAPP(c_member(_u11234), _u11237), _u11235)) | hBOOL(hAPP(hAPP(c_member(_u11234), _u11237), hAPP(c_Relation_OImage(_u11234, _u11234, _u11236), hAPP(hAPP(c_Set_Oinsert(_u11234), _u11237), c_Orderings_Obot__class_Obot(tc_fun(_u11234, tc_HOL_Obool)))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_quotient__disj ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_quotient__disj-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11238, _u11239, _u11240) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11238, tc_HOL_Obool)), _u11241), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11238), _u11239), _u11240))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11238, tc_HOL_Obool)), _u11242), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11238), _u11239), _u11240))) | ( _u11241 = _u11242) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11238, tc_HOL_Obool)), _u11241), _u11242) = c_Orderings_Obot__class_Obot(tc_fun(_u11238, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_equiv__class__eq ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_equiv__class__eq-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11243, _u11244, _u11245) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11243, _u11243)), hAPP(hAPP(c_Product__Type_OPair(_u11243, _u11243), _u11246), _u11247)), _u11245)) | ( hAPP(c_Relation_OImage(_u11243, _u11243, _u11245), hAPP(hAPP(c_Set_Oinsert(_u11243), _u11246), c_Orderings_Obot__class_Obot(tc_fun(_u11243, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u11243, _u11243, _u11245), hAPP(hAPP(c_Set_Oinsert(_u11243), _u11247), c_Orderings_Obot__class_Obot(tc_fun(_u11243, tc_HOL_Obool))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_quotient__eq__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_quotient__eq__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11248, _u11249, _u11250) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11248, tc_HOL_Obool)), _u11251), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11248), _u11249), _u11250))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11248, tc_HOL_Obool)), _u11252), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11248), _u11249), _u11250))) | ~hBOOL(hAPP(hAPP(c_member(_u11248), _u11253), _u11251)) | ~hBOOL(hAPP(hAPP(c_member(_u11248), _u11254), _u11252)) | ( _u11251 != _u11252) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11248, _u11248)), hAPP(hAPP(c_Product__Type_OPair(_u11248, _u11248), _u11253), _u11254)), _u11250)) )).
% 19.51/19.71 cnf(fact_quotient__eq__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u11248, _u11249, _u11250) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11248, tc_HOL_Obool)), _u11251), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11248), _u11249), _u11250))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11248, tc_HOL_Obool)), _u11252), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11248), _u11249), _u11250))) | ~hBOOL(hAPP(hAPP(c_member(_u11248), _u11253), _u11251)) | ~hBOOL(hAPP(hAPP(c_member(_u11248), _u11254), _u11252)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11248, _u11248)), hAPP(hAPP(c_Product__Type_OPair(_u11248, _u11248), _u11253), _u11254)), _u11250)) | ( _u11251 = _u11252) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_quotient__eqI ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_quotient__eqI-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11255, _u11256, _u11257) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11255, tc_HOL_Obool)), _u11258), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11255), _u11256), _u11257))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11255, tc_HOL_Obool)), _u11259), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11255), _u11256), _u11257))) | ~hBOOL(hAPP(hAPP(c_member(_u11255), _u11260), _u11258)) | ~hBOOL(hAPP(hAPP(c_member(_u11255), _u11261), _u11259)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11255, _u11255)), hAPP(hAPP(c_Product__Type_OPair(_u11255, _u11255), _u11260), _u11261)), _u11257)) | ( _u11258 = _u11259) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_eq__equiv__class ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_eq__equiv__class-1, axiom, ( ( hAPP(c_Relation_OImage(_u11262, _u11262, _u11263), hAPP(hAPP(c_Set_Oinsert(_u11262), _u11264), c_Orderings_Obot__class_Obot(tc_fun(_u11262, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u11262, _u11262, _u11263), hAPP(hAPP(c_Set_Oinsert(_u11262), _u11265), c_Orderings_Obot__class_Obot(tc_fun(_u11262, tc_HOL_Obool))))) | ~c_Equiv__Relations_Oequiv(_u11262, _u11266, _u11263) | ~hBOOL(hAPP(hAPP(c_member(_u11262), _u11265), _u11266)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11262, _u11262)), hAPP(hAPP(c_Product__Type_OPair(_u11262, _u11262), _u11264), _u11265)), _u11263)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_eq__equiv__class__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_eq__equiv__class__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11267, _u11268, _u11269) | ~hBOOL(hAPP(hAPP(c_member(_u11267), _u11270), _u11268)) | ~hBOOL(hAPP(hAPP(c_member(_u11267), _u11271), _u11268)) | ( hAPP(c_Relation_OImage(_u11267, _u11267, _u11269), hAPP(hAPP(c_Set_Oinsert(_u11267), _u11270), c_Orderings_Obot__class_Obot(tc_fun(_u11267, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u11267, _u11267, _u11269), hAPP(hAPP(c_Set_Oinsert(_u11267), _u11271), c_Orderings_Obot__class_Obot(tc_fun(_u11267, tc_HOL_Obool))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11267, _u11267)), hAPP(hAPP(c_Product__Type_OPair(_u11267, _u11267), _u11270), _u11271)), _u11269)) )).
% 19.51/19.71 cnf(fact_eq__equiv__class__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u11267, _u11268, _u11269) | ~hBOOL(hAPP(hAPP(c_member(_u11267), _u11270), _u11268)) | ~hBOOL(hAPP(hAPP(c_member(_u11267), _u11271), _u11268)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11267, _u11267)), hAPP(hAPP(c_Product__Type_OPair(_u11267, _u11267), _u11270), _u11271)), _u11269)) | ( hAPP(c_Relation_OImage(_u11267, _u11267, _u11269), hAPP(hAPP(c_Set_Oinsert(_u11267), _u11270), c_Orderings_Obot__class_Obot(tc_fun(_u11267, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u11267, _u11267, _u11269), hAPP(hAPP(c_Set_Oinsert(_u11267), _u11271), c_Orderings_Obot__class_Obot(tc_fun(_u11267, tc_HOL_Obool))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_equiv__class__eq__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_equiv__class__eq__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11272, _u11273, _u11274) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11272, _u11272)), hAPP(hAPP(c_Product__Type_OPair(_u11272, _u11272), _u11275), _u11276)), _u11274)) | ( hAPP(c_Relation_OImage(_u11272, _u11272, _u11274), hAPP(hAPP(c_Set_Oinsert(_u11272), _u11275), c_Orderings_Obot__class_Obot(tc_fun(_u11272, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u11272, _u11272, _u11274), hAPP(hAPP(c_Set_Oinsert(_u11272), _u11276), c_Orderings_Obot__class_Obot(tc_fun(_u11272, tc_HOL_Obool))))) )).
% 19.51/19.71 cnf(fact_equiv__class__eq__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u11272, _u11273, _u11274) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11272, _u11272)), hAPP(hAPP(c_Product__Type_OPair(_u11272, _u11272), _u11275), _u11276)), _u11274)) | hBOOL(hAPP(hAPP(c_member(_u11272), _u11275), _u11273)) )).
% 19.51/19.71 cnf(fact_equiv__class__eq__iff-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u11272, _u11273, _u11274) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11272, _u11272)), hAPP(hAPP(c_Product__Type_OPair(_u11272, _u11272), _u11275), _u11276)), _u11274)) | hBOOL(hAPP(hAPP(c_member(_u11272), _u11276), _u11273)) )).
% 19.51/19.71 cnf(fact_equiv__class__eq__iff-4, axiom, ( ~c_Equiv__Relations_Oequiv(_u11272, _u11273, _u11274) | ( hAPP(c_Relation_OImage(_u11272, _u11272, _u11274), hAPP(hAPP(c_Set_Oinsert(_u11272), _u11275), c_Orderings_Obot__class_Obot(tc_fun(_u11272, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u11272, _u11272, _u11274), hAPP(hAPP(c_Set_Oinsert(_u11272), _u11276), c_Orderings_Obot__class_Obot(tc_fun(_u11272, tc_HOL_Obool))))) | ~hBOOL(hAPP(hAPP(c_member(_u11272), _u11275), _u11273)) | ~hBOOL(hAPP(hAPP(c_member(_u11272), _u11276), _u11273)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11272, _u11272)), hAPP(hAPP(c_Product__Type_OPair(_u11272, _u11272), _u11275), _u11276)), _u11274)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_equiv__class__subset ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_equiv__class__subset-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11277, _u11278, _u11279) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11277, _u11277)), hAPP(hAPP(c_Product__Type_OPair(_u11277, _u11277), _u11280), _u11281)), _u11279)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11277, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11277, _u11277, _u11279), hAPP(hAPP(c_Set_Oinsert(_u11277), _u11280), c_Orderings_Obot__class_Obot(tc_fun(_u11277, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u11277, _u11277, _u11279), hAPP(hAPP(c_Set_Oinsert(_u11277), _u11281), c_Orderings_Obot__class_Obot(tc_fun(_u11277, tc_HOL_Obool)))))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_eq__equiv__class__iff2 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_eq__equiv__class__iff2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11282, _u11283, _u11284) | ~hBOOL(hAPP(hAPP(c_member(_u11282), _u11285), _u11283)) | ~hBOOL(hAPP(hAPP(c_member(_u11282), _u11286), _u11283)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11282), hAPP(hAPP(c_Set_Oinsert(_u11282), _u11285), c_Orderings_Obot__class_Obot(tc_fun(_u11282, tc_HOL_Obool)))), _u11284) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11282), hAPP(hAPP(c_Set_Oinsert(_u11282), _u11286), c_Orderings_Obot__class_Obot(tc_fun(_u11282, tc_HOL_Obool)))), _u11284)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11282, _u11282)), hAPP(hAPP(c_Product__Type_OPair(_u11282, _u11282), _u11285), _u11286)), _u11284)) )).
% 19.51/19.71 cnf(fact_eq__equiv__class__iff2-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u11282, _u11283, _u11284) | ~hBOOL(hAPP(hAPP(c_member(_u11282), _u11285), _u11283)) | ~hBOOL(hAPP(hAPP(c_member(_u11282), _u11286), _u11283)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11282, _u11282)), hAPP(hAPP(c_Product__Type_OPair(_u11282, _u11282), _u11285), _u11286)), _u11284)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11282), hAPP(hAPP(c_Set_Oinsert(_u11282), _u11285), c_Orderings_Obot__class_Obot(tc_fun(_u11282, tc_HOL_Obool)))), _u11284) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11282), hAPP(hAPP(c_Set_Oinsert(_u11282), _u11286), c_Orderings_Obot__class_Obot(tc_fun(_u11282, tc_HOL_Obool)))), _u11284)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__equiv__class2 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__equiv__class2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11287, _u11288, _u11289) | ~c_Equiv__Relations_Oequiv(_u11290, _u11291, _u11292) | ~c_Equiv__Relations_Ocongruent2(_u11287, _u11290, tc_fun(_u11293, tc_HOL_Obool), _u11289, _u11292, _u11294) | ~hBOOL(hAPP(hAPP(c_member(_u11287), _u11295), _u11288)) | ~hBOOL(hAPP(hAPP(c_member(_u11290), _u11296), _u11291)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11287, tc_fun(_u11293, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11287, _u11287, _u11289), hAPP(hAPP(c_Set_Oinsert(_u11287), _u11295), c_Orderings_Obot__class_Obot(tc_fun(_u11287, tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(_u11290, tc_fun(_u11293, tc_HOL_Obool)), tc_fun(_u11293, tc_HOL_Obool), _u11287), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11290, tc_fun(_u11293, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11290, _u11290, _u11292), hAPP(hAPP(c_Set_Oinsert(_u11290), _u11296), c_Orderings_Obot__class_Obot(tc_fun(_u11290, tc_HOL_Obool)))))), _u11294)) = hAPP(hAPP(_u11294, _u11295), _u11296)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__equiv__class ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__equiv__class-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11297, _u11298, _u11299) | ~c_Equiv__Relations_Ocongruent(_u11297, tc_fun(_u11300, tc_HOL_Obool), _u11299, _u11301) | ~hBOOL(hAPP(hAPP(c_member(_u11297), _u11302), _u11298)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11297, tc_fun(_u11300, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11297, _u11297, _u11299), hAPP(hAPP(c_Set_Oinsert(_u11297), _u11302), c_Orderings_Obot__class_Obot(tc_fun(_u11297, tc_HOL_Obool))))), _u11301) = hAPP(_u11301, _u11302)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_equivp__equiv ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_equivp__equiv-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11305, c_Orderings_Otop__class_Otop(tc_fun(_u11305, tc_HOL_Obool)), _u11307) | c_Equiv__Relations_Oequivp(_u11305, hAPP(hAPP(c_COMBC(_u11305, tc_fun(tc_prod(_u11305, _u11305), tc_HOL_Obool), tc_fun(_u11305, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11305, tc_fun(tc_fun(tc_prod(_u11305, _u11305), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11305, _u11305), tc_HOL_Obool), tc_fun(_u11305, tc_HOL_Obool)), _u11305), c_COMBC(_u11305, tc_fun(tc_prod(_u11305, _u11305), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11305, tc_prod(_u11305, _u11305)), tc_fun(_u11305, tc_fun(tc_fun(tc_prod(_u11305, _u11305), tc_HOL_Obool), tc_HOL_Obool)), _u11305), hAPP(c_COMBB(tc_prod(_u11305, _u11305), tc_fun(tc_fun(tc_prod(_u11305, _u11305), tc_HOL_Obool), tc_HOL_Obool), _u11305), c_member(tc_prod(_u11305, _u11305)))), c_Product__Type_OPair(_u11305, _u11305)))), _u11307)) )).
% 19.51/19.71 cnf(fact_equivp__equiv-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u11306, hAPP(hAPP(c_COMBC(_u11306, tc_fun(tc_prod(_u11306, _u11306), tc_HOL_Obool), tc_fun(_u11306, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11306, tc_fun(tc_fun(tc_prod(_u11306, _u11306), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11306, _u11306), tc_HOL_Obool), tc_fun(_u11306, tc_HOL_Obool)), _u11306), c_COMBC(_u11306, tc_fun(tc_prod(_u11306, _u11306), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11306, tc_prod(_u11306, _u11306)), tc_fun(_u11306, tc_fun(tc_fun(tc_prod(_u11306, _u11306), tc_HOL_Obool), tc_HOL_Obool)), _u11306), hAPP(c_COMBB(tc_prod(_u11306, _u11306), tc_fun(tc_fun(tc_prod(_u11306, _u11306), tc_HOL_Obool), tc_HOL_Obool), _u11306), c_member(tc_prod(_u11306, _u11306)))), c_Product__Type_OPair(_u11306, _u11306)))), _u11308)) | c_Equiv__Relations_Oequiv(_u11306, c_Orderings_Otop__class_Otop(tc_fun(_u11306, tc_HOL_Obool)), _u11308) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_equivp__transp ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_equivp__transp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u11310, _u11311), _u11312)) | ~hBOOL(hAPP(hAPP(_u11310, _u11312), _u11313)) | hBOOL(hAPP(hAPP(_u11310, _u11311), _u11313)) | ~c_Equiv__Relations_Oequivp(_u11309, _u11310) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_equivp__symp ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_equivp__symp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u11315, _u11316), _u11317)) | hBOOL(hAPP(hAPP(_u11315, _u11317), _u11316)) | ~c_Equiv__Relations_Oequivp(_u11314, _u11315) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_equivp__reflp ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_equivp__reflp-1, axiom, ( hBOOL(hAPP(hAPP(_u11319, _u11320), _u11320)) | ~c_Equiv__Relations_Oequivp(_u11318, _u11319) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_equivp__def ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_equivp__def-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u11335, _u11337) | ~hBOOL(hAPP(hAPP(_u11337, _u11329), _u11327)) | ( hAPP(_u11337, _u11329) = hAPP(_u11337, _u11327)) )).
% 19.51/19.71 cnf(fact_equivp__def-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u11335, _u11337) | ( hAPP(_u11337, _u11330) != hAPP(_u11337, _u11328)) | hBOOL(hAPP(hAPP(_u11337, _u11330), _u11328)) )).
% 19.51/19.71 cnf(fact_equivp__def-3, axiom, ( c_Equiv__Relations_Oequivp(_u11336, _u11338) | hBOOL(hAPP(hAPP(_u11338, skolem262(_u11338)), skolem263(_u11338))) | ( hAPP(_u11338, skolem264(_u11338)) = hAPP(_u11338, skolem265(_u11338))) )).
% 19.51/19.71 cnf(fact_equivp__def-4, axiom, ( c_Equiv__Relations_Oequivp(_u11336, _u11338) | hBOOL(hAPP(hAPP(_u11338, skolem262(_u11338)), skolem263(_u11338))) | ~hBOOL(hAPP(hAPP(_u11338, skolem264(_u11338)), skolem265(_u11338))) )).
% 19.51/19.71 cnf(fact_equivp__def-5, axiom, ( c_Equiv__Relations_Oequivp(_u11336, _u11338) | ( hAPP(_u11338, skolem262(_u11338)) != hAPP(_u11338, skolem263(_u11338))) | ( hAPP(_u11338, skolem264(_u11338)) = hAPP(_u11338, skolem265(_u11338))) )).
% 19.51/19.71 cnf(fact_equivp__def-6, axiom, ( c_Equiv__Relations_Oequivp(_u11336, _u11338) | ( hAPP(_u11338, skolem262(_u11338)) != hAPP(_u11338, skolem263(_u11338))) | ~hBOOL(hAPP(hAPP(_u11338, skolem264(_u11338)), skolem265(_u11338))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_identity__equivp ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_identity__equivp-1, axiom, ( c_Equiv__Relations_Oequivp(_u11339, c_fequal) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_congruent2__implies__congruent ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_congruent2__implies__congruent-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11340, _u11341, _u11342) | ~c_Equiv__Relations_Ocongruent2(_u11340, _u11343, _u11344, _u11342, _u11345, _u11346) | ~hBOOL(hAPP(hAPP(c_member(_u11340), _u11347), _u11341)) | c_Equiv__Relations_Ocongruent(_u11343, _u11344, _u11345, hAPP(_u11346, _u11347)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_congruent2D ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_congruent2D-1, axiom, ( ~c_Equiv__Relations_Ocongruent2(_u11348, _u11349, _u11350, _u11351, _u11352, _u11353) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11348, _u11348)), hAPP(hAPP(c_Product__Type_OPair(_u11348, _u11348), _u11354), _u11355)), _u11351)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11349, _u11349)), hAPP(hAPP(c_Product__Type_OPair(_u11349, _u11349), _u11356), _u11357)), _u11352)) | ( hAPP(hAPP(_u11353, _u11354), _u11356) = hAPP(hAPP(_u11353, _u11355), _u11357)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_congruentD ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_congruentD-1, axiom, ( ~c_Equiv__Relations_Ocongruent(_u11358, _u11359, _u11360, _u11361) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11358, _u11358)), hAPP(hAPP(c_Product__Type_OPair(_u11358, _u11358), _u11362), _u11363)), _u11360)) | ( hAPP(_u11361, _u11362) = hAPP(_u11361, _u11363)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_congruent2__implies__congruent__UN ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_congruent2__implies__congruent__UN-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11364, _u11365, _u11366) | ~c_Equiv__Relations_Oequiv(_u11367, _u11368, _u11369) | ~c_Equiv__Relations_Ocongruent2(_u11364, _u11367, tc_fun(_u11370, tc_HOL_Obool), _u11366, _u11369, _u11371) | ~hBOOL(hAPP(hAPP(c_member(_u11367), _u11372), _u11368)) | c_Equiv__Relations_Ocongruent(_u11364, tc_fun(_u11370, tc_HOL_Obool), _u11366, hAPP(hAPP(c_COMBB(tc_fun(_u11367, tc_fun(_u11370, tc_HOL_Obool)), tc_fun(_u11370, tc_HOL_Obool), _u11364), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11367, tc_fun(_u11370, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11367, _u11367, _u11369), hAPP(hAPP(c_Set_Oinsert(_u11367), _u11372), c_Orderings_Obot__class_Obot(tc_fun(_u11367, tc_HOL_Obool)))))), _u11371)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__equiv__class__inject ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__equiv__class__inject-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11375, _u11376, _u11377) | ~c_Equiv__Relations_Ocongruent(_u11375, tc_fun(_u11378, tc_HOL_Obool), _u11377, _u11379) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11375, tc_fun(_u11378, tc_HOL_Obool)), _u11380), _u11379) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11375, tc_fun(_u11378, tc_HOL_Obool)), _u11381), _u11379)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11375, tc_HOL_Obool)), _u11380), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11375), _u11376), _u11377))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11375, tc_HOL_Obool)), _u11381), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11375), _u11376), _u11377))) | ( _u11380 = _u11381) | hBOOL(hAPP(hAPP(c_member(_u11375), skolem266(_u11381, _u11380, _u11379, _u11378, _u11377, _u11376, _u11375)), _u11376)) )).
% 19.51/19.71 cnf(fact_UN__equiv__class__inject-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u11375, _u11376, _u11377) | ~c_Equiv__Relations_Ocongruent(_u11375, tc_fun(_u11378, tc_HOL_Obool), _u11377, _u11379) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11375, tc_fun(_u11378, tc_HOL_Obool)), _u11380), _u11379) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11375, tc_fun(_u11378, tc_HOL_Obool)), _u11381), _u11379)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11375, tc_HOL_Obool)), _u11380), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11375), _u11376), _u11377))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11375, tc_HOL_Obool)), _u11381), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11375), _u11376), _u11377))) | ( _u11380 = _u11381) | hBOOL(hAPP(hAPP(c_member(_u11375), skolem267(_u11381, _u11380, _u11379, _u11378, _u11377, _u11376, _u11375)), _u11376)) )).
% 19.51/19.71 cnf(fact_UN__equiv__class__inject-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u11375, _u11376, _u11377) | ~c_Equiv__Relations_Ocongruent(_u11375, tc_fun(_u11378, tc_HOL_Obool), _u11377, _u11379) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11375, tc_fun(_u11378, tc_HOL_Obool)), _u11380), _u11379) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11375, tc_fun(_u11378, tc_HOL_Obool)), _u11381), _u11379)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11375, tc_HOL_Obool)), _u11380), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11375), _u11376), _u11377))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11375, tc_HOL_Obool)), _u11381), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11375), _u11376), _u11377))) | ( _u11380 = _u11381) | ( hAPP(_u11379, skolem266(_u11381, _u11380, _u11379, _u11378, _u11377, _u11376, _u11375)) = hAPP(_u11379, skolem267(_u11381, _u11380, _u11379, _u11378, _u11377, _u11376, _u11375))) )).
% 19.51/19.71 cnf(fact_UN__equiv__class__inject-4, axiom, ( ~c_Equiv__Relations_Oequiv(_u11375, _u11376, _u11377) | ~c_Equiv__Relations_Ocongruent(_u11375, tc_fun(_u11378, tc_HOL_Obool), _u11377, _u11379) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11375, tc_fun(_u11378, tc_HOL_Obool)), _u11380), _u11379) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11375, tc_fun(_u11378, tc_HOL_Obool)), _u11381), _u11379)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11375, tc_HOL_Obool)), _u11380), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11375), _u11376), _u11377))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11375, tc_HOL_Obool)), _u11381), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11375), _u11376), _u11377))) | ( _u11380 = _u11381) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11375, _u11375)), hAPP(hAPP(c_Product__Type_OPair(_u11375, _u11375), skolem266(_u11381, _u11380, _u11379, _u11378, _u11377, _u11376, _u11375)), skolem267(_u11381, _u11380, _u11379, _u11378, _u11377, _u11376, _u11375))), _u11377)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__equiv__class__type2 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__equiv__class__type2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11384, _u11385, _u11386) | ~c_Equiv__Relations_Oequiv(_u11387, _u11388, _u11389) | ~c_Equiv__Relations_Ocongruent2(_u11384, _u11387, tc_fun(_u11390, tc_HOL_Obool), _u11386, _u11389, _u11391) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11384, tc_HOL_Obool)), _u11392), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11384), _u11385), _u11386))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11387, tc_HOL_Obool)), _u11393), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11387), _u11388), _u11389))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11390, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11384, tc_fun(_u11390, tc_HOL_Obool)), _u11392), hAPP(hAPP(c_COMBB(tc_fun(_u11387, tc_fun(_u11390, tc_HOL_Obool)), tc_fun(_u11390, tc_HOL_Obool), _u11384), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11387, tc_fun(_u11390, tc_HOL_Obool)), _u11393)), _u11391))), _u11394)) | hBOOL(hAPP(hAPP(c_member(_u11384), skolem268(_u11394, _u11393, _u11392, _u11391, _u11390, _u11389, _u11388, _u11387, _u11386, _u11385, _u11384)), _u11385)) )).
% 19.51/19.71 cnf(fact_UN__equiv__class__type2-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u11384, _u11385, _u11386) | ~c_Equiv__Relations_Oequiv(_u11387, _u11388, _u11389) | ~c_Equiv__Relations_Ocongruent2(_u11384, _u11387, tc_fun(_u11390, tc_HOL_Obool), _u11386, _u11389, _u11391) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11384, tc_HOL_Obool)), _u11392), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11384), _u11385), _u11386))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11387, tc_HOL_Obool)), _u11393), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11387), _u11388), _u11389))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11390, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11384, tc_fun(_u11390, tc_HOL_Obool)), _u11392), hAPP(hAPP(c_COMBB(tc_fun(_u11387, tc_fun(_u11390, tc_HOL_Obool)), tc_fun(_u11390, tc_HOL_Obool), _u11384), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11387, tc_fun(_u11390, tc_HOL_Obool)), _u11393)), _u11391))), _u11394)) | hBOOL(hAPP(hAPP(c_member(_u11387), skolem269(_u11394, _u11393, _u11392, _u11391, _u11390, _u11389, _u11388, _u11387, _u11386, _u11385, _u11384)), _u11388)) )).
% 19.51/19.71 cnf(fact_UN__equiv__class__type2-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u11384, _u11385, _u11386) | ~c_Equiv__Relations_Oequiv(_u11387, _u11388, _u11389) | ~c_Equiv__Relations_Ocongruent2(_u11384, _u11387, tc_fun(_u11390, tc_HOL_Obool), _u11386, _u11389, _u11391) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11384, tc_HOL_Obool)), _u11392), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11384), _u11385), _u11386))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11387, tc_HOL_Obool)), _u11393), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11387), _u11388), _u11389))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11390, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11384, tc_fun(_u11390, tc_HOL_Obool)), _u11392), hAPP(hAPP(c_COMBB(tc_fun(_u11387, tc_fun(_u11390, tc_HOL_Obool)), tc_fun(_u11390, tc_HOL_Obool), _u11384), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11387, tc_fun(_u11390, tc_HOL_Obool)), _u11393)), _u11391))), _u11394)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11390, tc_HOL_Obool)), hAPP(hAPP(_u11391, skolem268(_u11394, _u11393, _u11392, _u11391, _u11390, _u11389, _u11388, _u11387, _u11386, _u11385, _u11384)), skolem269(_u11394, _u11393, _u11392, _u11391, _u11390, _u11389, _u11388, _u11387, _u11386, _u11385, _u11384))), _u11394)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_UN__equiv__class__type ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_UN__equiv__class__type-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11396, _u11397, _u11398) | ~c_Equiv__Relations_Ocongruent(_u11396, tc_fun(_u11399, tc_HOL_Obool), _u11398, _u11400) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11396, tc_HOL_Obool)), _u11401), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11396), _u11397), _u11398))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11399, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11396, tc_fun(_u11399, tc_HOL_Obool)), _u11401), _u11400)), _u11402)) | hBOOL(hAPP(hAPP(c_member(_u11396), skolem270(_u11402, _u11401, _u11400, _u11399, _u11398, _u11397, _u11396)), _u11397)) )).
% 19.51/19.71 cnf(fact_UN__equiv__class__type-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u11396, _u11397, _u11398) | ~c_Equiv__Relations_Ocongruent(_u11396, tc_fun(_u11399, tc_HOL_Obool), _u11398, _u11400) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11396, tc_HOL_Obool)), _u11401), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11396), _u11397), _u11398))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11399, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11396, tc_fun(_u11399, tc_HOL_Obool)), _u11401), _u11400)), _u11402)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11399, tc_HOL_Obool)), hAPP(_u11400, skolem270(_u11402, _u11401, _u11400, _u11399, _u11398, _u11397, _u11396))), _u11402)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_Integ__def ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_Integ__def-1, axiom, ( ( c_Int_OInteg = hAPP(hAPP(c_Equiv__Relations_Oquotient(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), c_Int_Ointrel)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_card__quotient__disjoint ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_card__quotient__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11403), _u11404)) | ~c_Fun_Oinj__on(_u11403, tc_fun(tc_fun(_u11403, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11403, tc_fun(tc_prod(_u11403, _u11403), tc_HOL_Obool), tc_fun(tc_fun(_u11403, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11403, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u11403, _u11403), tc_HOL_Obool), tc_fun(tc_fun(_u11403, tc_HOL_Obool), tc_HOL_Obool)), _u11403), c_Equiv__Relations_Oquotient(_u11403)), hAPP(hAPP(c_COMBC(_u11403, tc_fun(_u11403, tc_HOL_Obool), tc_fun(_u11403, tc_HOL_Obool)), c_Set_Oinsert(_u11403)), c_Orderings_Obot__class_Obot(tc_fun(_u11403, tc_HOL_Obool))))), _u11405), _u11404) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u11403, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11403), _u11404), _u11405)) = hAPP(c_Finite__Set_Ocard(_u11403), _u11404)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_accp__acc__eq ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_accp__acc__eq-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u11409, hAPP(hAPP(c_COMBC(_u11409, tc_fun(tc_prod(_u11409, _u11409), tc_HOL_Obool), tc_fun(_u11409, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11409, tc_fun(tc_fun(tc_prod(_u11409, _u11409), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11409, _u11409), tc_HOL_Obool), tc_fun(_u11409, tc_HOL_Obool)), _u11409), c_COMBC(_u11409, tc_fun(tc_prod(_u11409, _u11409), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11409, tc_prod(_u11409, _u11409)), tc_fun(_u11409, tc_fun(tc_fun(tc_prod(_u11409, _u11409), tc_HOL_Obool), tc_HOL_Obool)), _u11409), hAPP(c_COMBB(tc_prod(_u11409, _u11409), tc_fun(tc_fun(tc_prod(_u11409, _u11409), tc_HOL_Obool), tc_HOL_Obool), _u11409), c_member(tc_prod(_u11409, _u11409)))), c_Product__Type_OPair(_u11409, _u11409)))), _u11411)), _u11413)) | hBOOL(hAPP(hAPP(c_member(_u11409), _u11413), c_Wellfounded_Oacc(_u11409, _u11411))) )).
% 19.51/19.71 cnf(fact_accp__acc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11410), _u11414), c_Wellfounded_Oacc(_u11410, _u11412))) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u11410, hAPP(hAPP(c_COMBC(_u11410, tc_fun(tc_prod(_u11410, _u11410), tc_HOL_Obool), tc_fun(_u11410, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11410, tc_fun(tc_fun(tc_prod(_u11410, _u11410), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11410, _u11410), tc_HOL_Obool), tc_fun(_u11410, tc_HOL_Obool)), _u11410), c_COMBC(_u11410, tc_fun(tc_prod(_u11410, _u11410), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11410, tc_prod(_u11410, _u11410)), tc_fun(_u11410, tc_fun(tc_fun(tc_prod(_u11410, _u11410), tc_HOL_Obool), tc_HOL_Obool)), _u11410), hAPP(c_COMBB(tc_prod(_u11410, _u11410), tc_fun(tc_fun(tc_prod(_u11410, _u11410), tc_HOL_Obool), tc_HOL_Obool), _u11410), c_member(tc_prod(_u11410, _u11410)))), c_Product__Type_OPair(_u11410, _u11410)))), _u11412)), _u11414)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_inj__on__empty ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_inj__on__empty-1, axiom, ( c_Fun_Oinj__on(_u11415, _u11416, _u11417, c_Orderings_Obot__class_Obot(tc_fun(_u11415, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_inj__uminus ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_inj__uminus-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u11418) | c_Fun_Oinj__on(_u11418, _u11418, c_Groups_Ouminus__class_Ouminus(_u11418), _u11419) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_inj__on__def ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_inj__on__def-1, axiom, ( ~c_Fun_Oinj__on(_u11428, _u11430, _u11432, _u11434) | ~hBOOL(hAPP(hAPP(c_member(_u11428), _u11421), _u11434)) | ~hBOOL(hAPP(hAPP(c_member(_u11428), _u11420), _u11434)) | ( hAPP(_u11432, _u11421) != hAPP(_u11432, _u11420)) | ( _u11421 = _u11420) )).
% 19.51/19.71 cnf(fact_inj__on__def-2, axiom, ( c_Fun_Oinj__on(_u11429, _u11431, _u11433, _u11435) | hBOOL(hAPP(hAPP(c_member(_u11429), skolem271(_u11435, _u11433, _u11431, _u11429)), _u11435)) )).
% 19.51/19.71 cnf(fact_inj__on__def-3, axiom, ( c_Fun_Oinj__on(_u11429, _u11431, _u11433, _u11435) | hBOOL(hAPP(hAPP(c_member(_u11429), skolem272(_u11435, _u11433, _u11431, _u11429)), _u11435)) )).
% 19.51/19.71 cnf(fact_inj__on__def-4, axiom, ( c_Fun_Oinj__on(_u11429, _u11431, _u11433, _u11435) | ( hAPP(_u11433, skolem271(_u11435, _u11433, _u11431, _u11429)) = hAPP(_u11433, skolem272(_u11435, _u11433, _u11431, _u11429))) )).
% 19.51/19.71 cnf(fact_inj__on__def-5, axiom, ( c_Fun_Oinj__on(_u11429, _u11431, _u11433, _u11435) | ( skolem271(_u11435, _u11433, _u11431, _u11429) != skolem272(_u11435, _u11433, _u11431, _u11429)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_inj__on__id2 ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_inj__on__id2-1, axiom, ( c_Fun_Oinj__on(_u11436, _u11436, c_COMBI(_u11436), _u11437) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_subset__inj__on ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_subset__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u11438, _u11439, _u11440, _u11441) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11438, tc_HOL_Obool)), _u11442), _u11441)) | c_Fun_Oinj__on(_u11438, _u11439, _u11440, _u11442) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_inj__on__Int ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_inj__on__Int-1, axiom, ( ~c_Fun_Oinj__on(_u11443, _u11444, _u11445, _u11446) | ~c_Fun_Oinj__on(_u11443, _u11444, _u11445, _u11447) | c_Fun_Oinj__on(_u11443, _u11444, _u11445, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11443, tc_HOL_Obool)), _u11446), _u11447)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_inj__on__diff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_inj__on__diff-1, axiom, ( ~c_Fun_Oinj__on(_u11448, _u11449, _u11450, _u11451) | c_Fun_Oinj__on(_u11448, _u11449, _u11450, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11448, tc_HOL_Obool)), _u11451), _u11452)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_inj__onD ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_inj__onD-1, axiom, ( ~c_Fun_Oinj__on(_u11453, _u11454, _u11455, _u11456) | ( hAPP(_u11455, _u11457) != hAPP(_u11455, _u11458)) | ~hBOOL(hAPP(hAPP(c_member(_u11453), _u11457), _u11456)) | ~hBOOL(hAPP(hAPP(c_member(_u11453), _u11458), _u11456)) | ( _u11457 = _u11458) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_inj__on__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_inj__on__iff-1, axiom, ( ~c_Fun_Oinj__on(_u11459, _u11460, _u11461, _u11462) | ~hBOOL(hAPP(hAPP(c_member(_u11459), _u11463), _u11462)) | ~hBOOL(hAPP(hAPP(c_member(_u11459), _u11464), _u11462)) | ( hAPP(_u11461, _u11463) != hAPP(_u11461, _u11464)) | ( _u11463 = _u11464) )).
% 19.51/19.71 cnf(fact_inj__on__iff-2, axiom, ( ~c_Fun_Oinj__on(_u11459, _u11460, _u11461, _u11462) | ~hBOOL(hAPP(hAPP(c_member(_u11459), _u11463), _u11462)) | ~hBOOL(hAPP(hAPP(c_member(_u11459), _u11464), _u11462)) | ( _u11463 != _u11464) | ( hAPP(_u11461, _u11463) = hAPP(_u11461, _u11464)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_inj__on__contraD ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_inj__on__contraD-1, axiom, ( ~c_Fun_Oinj__on(_u11465, _u11466, _u11467, _u11468) | ( _u11469 = _u11470) | ~hBOOL(hAPP(hAPP(c_member(_u11465), _u11469), _u11468)) | ~hBOOL(hAPP(hAPP(c_member(_u11465), _u11470), _u11468)) | ( hAPP(_u11467, _u11469) != hAPP(_u11467, _u11470)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_inj__fun ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_inj__fun-1, axiom, ( ~c_Fun_Oinj__on(_u11471, _u11472, _u11473, c_Orderings_Otop__class_Otop(tc_fun(_u11471, tc_HOL_Obool))) | c_Fun_Oinj__on(_u11471, tc_fun(_u11474, _u11472), hAPP(hAPP(c_COMBB(_u11472, tc_fun(_u11474, _u11472), _u11471), c_COMBK(_u11472, _u11474)), _u11473), c_Orderings_Otop__class_Otop(tc_fun(_u11471, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_inj__eq ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_inj__eq-1, axiom, ( ~c_Fun_Oinj__on(_u11475, _u11476, _u11477, c_Orderings_Otop__class_Otop(tc_fun(_u11475, tc_HOL_Obool))) | ( hAPP(_u11477, _u11478) != hAPP(_u11477, _u11479)) | ( _u11478 = _u11479) )).
% 19.51/19.71 cnf(fact_inj__eq-2, axiom, ( ~c_Fun_Oinj__on(_u11475, _u11476, _u11477, c_Orderings_Otop__class_Otop(tc_fun(_u11475, tc_HOL_Obool))) | ( _u11478 != _u11479) | ( hAPP(_u11477, _u11478) = hAPP(_u11477, _u11479)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_injD ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_injD-1, axiom, ( ( hAPP(_u11482, _u11483) != hAPP(_u11482, _u11484)) | ( _u11483 = _u11484) | ~c_Fun_Oinj__on(_u11480, _u11481, _u11482, c_Orderings_Otop__class_Otop(tc_fun(_u11480, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_finite__imageD ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_finite__imageD-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11485), hAPP(c_Set_Oimage(_u11486, _u11485, _u11487), _u11488))) | ~c_Fun_Oinj__on(_u11486, _u11485, _u11487, _u11488) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11486), _u11488)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_inj__image__eq__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_inj__image__eq__iff-1, axiom, ( ~c_Fun_Oinj__on(_u11489, _u11490, _u11491, c_Orderings_Otop__class_Otop(tc_fun(_u11489, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11489, _u11490, _u11491), _u11492) != hAPP(c_Set_Oimage(_u11489, _u11490, _u11491), _u11493)) | ( _u11492 = _u11493) )).
% 19.51/19.71 cnf(fact_inj__image__eq__iff-2, axiom, ( ~c_Fun_Oinj__on(_u11489, _u11490, _u11491, c_Orderings_Otop__class_Otop(tc_fun(_u11489, tc_HOL_Obool))) | ( _u11492 != _u11493) | ( hAPP(c_Set_Oimage(_u11489, _u11490, _u11491), _u11492) = hAPP(c_Set_Oimage(_u11489, _u11490, _u11491), _u11493)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_inj__on__Un__image__eq__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_inj__on__Un__image__eq__iff-1, axiom, ( ~c_Fun_Oinj__on(_u11494, _u11495, _u11496, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11494, tc_HOL_Obool)), _u11497), _u11498)) | ( hAPP(c_Set_Oimage(_u11494, _u11495, _u11496), _u11497) != hAPP(c_Set_Oimage(_u11494, _u11495, _u11496), _u11498)) | ( _u11497 = _u11498) )).
% 19.51/19.71 cnf(fact_inj__on__Un__image__eq__iff-2, axiom, ( ~c_Fun_Oinj__on(_u11494, _u11495, _u11496, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11494, tc_HOL_Obool)), _u11497), _u11498)) | ( _u11497 != _u11498) | ( hAPP(c_Set_Oimage(_u11494, _u11495, _u11496), _u11497) = hAPP(c_Set_Oimage(_u11494, _u11495, _u11496), _u11498)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_card__image ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_card__image-1, axiom, ( ~c_Fun_Oinj__on(_u11499, _u11500, _u11501, _u11502) | ( hAPP(c_Finite__Set_Ocard(_u11500), hAPP(c_Set_Oimage(_u11499, _u11500, _u11501), _u11502)) = hAPP(c_Finite__Set_Ocard(_u11499), _u11502)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_inj__on__strict__subset ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_inj__on__strict__subset-1, axiom, ( ~c_Fun_Oinj__on(_u11503, _u11504, _u11505, _u11506) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11503, tc_HOL_Obool)), _u11507), _u11506)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11504, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11503, _u11504, _u11505), _u11507)), hAPP(c_Set_Oimage(_u11503, _u11504, _u11505), _u11506))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_inj__image__mem__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_inj__image__mem__iff-1, axiom, ( ~c_Fun_Oinj__on(_u11508, _u11509, _u11510, c_Orderings_Otop__class_Otop(tc_fun(_u11508, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u11509), hAPP(_u11510, _u11511)), hAPP(c_Set_Oimage(_u11508, _u11509, _u11510), _u11512))) | hBOOL(hAPP(hAPP(c_member(_u11508), _u11511), _u11512)) )).
% 19.51/19.71 cnf(fact_inj__image__mem__iff-2, axiom, ( ~c_Fun_Oinj__on(_u11508, _u11509, _u11510, c_Orderings_Otop__class_Otop(tc_fun(_u11508, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u11508), _u11511), _u11512)) | hBOOL(hAPP(hAPP(c_member(_u11509), hAPP(_u11510, _u11511)), hAPP(c_Set_Oimage(_u11508, _u11509, _u11510), _u11512))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_range__ex1__eq ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_range__ex1__eq-1, axiom, ( ~c_Fun_Oinj__on(_u11517, _u11518, _u11519, c_Orderings_Otop__class_Otop(tc_fun(_u11517, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u11518), _u11520), hAPP(c_Set_Oimage(_u11517, _u11518, _u11519), c_Orderings_Otop__class_Otop(tc_fun(_u11517, tc_HOL_Obool))))) | ( _u11520 = hAPP(_u11519, skolem273(_u11520, _u11519, _u11518, _u11517))) )).
% 19.51/19.71 cnf(fact_range__ex1__eq-2, axiom, ( ~c_Fun_Oinj__on(_u11517, _u11518, _u11519, c_Orderings_Otop__class_Otop(tc_fun(_u11517, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u11518), _u11520), hAPP(c_Set_Oimage(_u11517, _u11518, _u11519), c_Orderings_Otop__class_Otop(tc_fun(_u11517, tc_HOL_Obool))))) | ( _u11520 != hAPP(_u11519, _u11513)) | ( _u11513 = skolem273(_u11520, _u11519, _u11518, _u11517)) )).
% 19.51/19.71 cnf(fact_range__ex1__eq-3, axiom, ( ~c_Fun_Oinj__on(_u11517, _u11518, _u11519, c_Orderings_Otop__class_Otop(tc_fun(_u11517, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u11518), _u11520), hAPP(c_Set_Oimage(_u11517, _u11518, _u11519), c_Orderings_Otop__class_Otop(tc_fun(_u11517, tc_HOL_Obool))))) | ( _u11520 != hAPP(_u11519, _u11516)) | ( _u11520 = hAPP(_u11519, skolem274(_u11520, _u11519, _u11518, _u11517, _u11516))) )).
% 19.51/19.71 cnf(fact_range__ex1__eq-4, axiom, ( ~c_Fun_Oinj__on(_u11517, _u11518, _u11519, c_Orderings_Otop__class_Otop(tc_fun(_u11517, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u11518), _u11520), hAPP(c_Set_Oimage(_u11517, _u11518, _u11519), c_Orderings_Otop__class_Otop(tc_fun(_u11517, tc_HOL_Obool))))) | ( _u11520 != hAPP(_u11519, _u11516)) | ( skolem274(_u11520, _u11519, _u11518, _u11517, _u11516) != _u11516) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_inj__on__iff__surj ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_inj__on__iff__surj-1, axiom, ( ( _u11525 = c_Orderings_Obot__class_Obot(tc_fun(_u11526, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u11526, _u11527, _u11521, _u11525) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11527, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11526, _u11527, _u11521), _u11525)), _u11528)) | ( hAPP(c_Set_Oimage(_u11527, _u11526, skolem275(_u11528, _u11527, _u11526, _u11525)), _u11528) = _u11525) )).
% 19.51/19.71 cnf(fact_inj__on__iff__surj-2, axiom, ( ( _u11525 = c_Orderings_Obot__class_Obot(tc_fun(_u11526, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11527, _u11526, _u11523), _u11528) != _u11525) | c_Fun_Oinj__on(_u11526, _u11527, skolem276(_u11528, _u11527, _u11526, _u11525), _u11525) )).
% 19.51/19.71 cnf(fact_inj__on__iff__surj-3, axiom, ( ( _u11525 = c_Orderings_Obot__class_Obot(tc_fun(_u11526, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11527, _u11526, _u11523), _u11528) != _u11525) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11527, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11526, _u11527, skolem276(_u11528, _u11527, _u11526, _u11525)), _u11525)), _u11528)) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_endo__inj__surj ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_endo__inj__surj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11529), _u11530)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11529, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11529, _u11529, _u11531), _u11530)), _u11530)) | ~c_Fun_Oinj__on(_u11529, _u11529, _u11531, _u11530) | ( hAPP(c_Set_Oimage(_u11529, _u11529, _u11531), _u11530) = _u11530) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_finite__surj__inj ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_finite__surj__inj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11532), _u11533)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11532, tc_HOL_Obool)), _u11533), hAPP(c_Set_Oimage(_u11532, _u11532, _u11534), _u11533))) | c_Fun_Oinj__on(_u11532, _u11532, _u11534, _u11533) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_finite__UNIV__surj__inj ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_finite__UNIV__surj__inj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11535), c_Orderings_Otop__class_Otop(tc_fun(_u11535, tc_HOL_Obool)))) | ( hAPP(c_Set_Oimage(_u11535, _u11535, _u11536), c_Orderings_Otop__class_Otop(tc_fun(_u11535, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u11535, tc_HOL_Obool))) | c_Fun_Oinj__on(_u11535, _u11535, _u11536, c_Orderings_Otop__class_Otop(tc_fun(_u11535, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_finite__UNIV__inj__surj ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_finite__UNIV__inj__surj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11537), c_Orderings_Otop__class_Otop(tc_fun(_u11537, tc_HOL_Obool)))) | ~c_Fun_Oinj__on(_u11537, _u11537, _u11538, c_Orderings_Otop__class_Otop(tc_fun(_u11537, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11537, _u11537, _u11538), c_Orderings_Otop__class_Otop(tc_fun(_u11537, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u11537, tc_HOL_Obool))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_inj__image__subset__iff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_inj__image__subset__iff-1, axiom, ( ~c_Fun_Oinj__on(_u11539, _u11540, _u11541, c_Orderings_Otop__class_Otop(tc_fun(_u11539, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11540, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11539, _u11540, _u11541), _u11542)), hAPP(c_Set_Oimage(_u11539, _u11540, _u11541), _u11543))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11539, tc_HOL_Obool)), _u11542), _u11543)) )).
% 19.51/19.71 cnf(fact_inj__image__subset__iff-2, axiom, ( ~c_Fun_Oinj__on(_u11539, _u11540, _u11541, c_Orderings_Otop__class_Otop(tc_fun(_u11539, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11539, tc_HOL_Obool)), _u11542), _u11543)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11540, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11539, _u11540, _u11541), _u11542)), hAPP(c_Set_Oimage(_u11539, _u11540, _u11541), _u11543))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_inj__on__image__Int ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_inj__on__image__Int-1, axiom, ( ~c_Fun_Oinj__on(_u11544, _u11545, _u11546, _u11547) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11544, tc_HOL_Obool)), _u11548), _u11547)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11544, tc_HOL_Obool)), _u11549), _u11547)) | ( hAPP(c_Set_Oimage(_u11544, _u11545, _u11546), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11544, tc_HOL_Obool)), _u11548), _u11549)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11545, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11544, _u11545, _u11546), _u11548)), hAPP(c_Set_Oimage(_u11544, _u11545, _u11546), _u11549))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_image__Int ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_image__Int-1, axiom, ( ~c_Fun_Oinj__on(_u11550, _u11551, _u11552, c_Orderings_Otop__class_Otop(tc_fun(_u11550, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11550, _u11551, _u11552), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11550, tc_HOL_Obool)), _u11553), _u11554)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11551, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11550, _u11551, _u11552), _u11553)), hAPP(c_Set_Oimage(_u11550, _u11551, _u11552), _u11554))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_eq__card__imp__inj__on ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_eq__card__imp__inj__on-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11555), _u11556)) | ( hAPP(c_Finite__Set_Ocard(_u11557), hAPP(c_Set_Oimage(_u11555, _u11557, _u11558), _u11556)) != hAPP(c_Finite__Set_Ocard(_u11555), _u11556)) | c_Fun_Oinj__on(_u11555, _u11557, _u11558, _u11556) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_inj__on__iff__eq__card ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_inj__on__iff__eq__card-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11559), _u11560)) | ~c_Fun_Oinj__on(_u11559, _u11561, _u11562, _u11560) | ( hAPP(c_Finite__Set_Ocard(_u11561), hAPP(c_Set_Oimage(_u11559, _u11561, _u11562), _u11560)) = hAPP(c_Finite__Set_Ocard(_u11559), _u11560)) )).
% 19.51/19.71 cnf(fact_inj__on__iff__eq__card-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11559), _u11560)) | ( hAPP(c_Finite__Set_Ocard(_u11561), hAPP(c_Set_Oimage(_u11559, _u11561, _u11562), _u11560)) != hAPP(c_Finite__Set_Ocard(_u11559), _u11560)) | c_Fun_Oinj__on(_u11559, _u11561, _u11562, _u11560) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_inj__on__image__set__diff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_inj__on__image__set__diff-1, axiom, ( ~c_Fun_Oinj__on(_u11563, _u11564, _u11565, _u11566) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11563, tc_HOL_Obool)), _u11567), _u11566)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11563, tc_HOL_Obool)), _u11568), _u11566)) | ( hAPP(c_Set_Oimage(_u11563, _u11564, _u11565), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11563, tc_HOL_Obool)), _u11567), _u11568)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11564, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11563, _u11564, _u11565), _u11567)), hAPP(c_Set_Oimage(_u11563, _u11564, _u11565), _u11568))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_image__set__diff ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_image__set__diff-1, axiom, ( ~c_Fun_Oinj__on(_u11569, _u11570, _u11571, c_Orderings_Otop__class_Otop(tc_fun(_u11569, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11569, _u11570, _u11571), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11569, tc_HOL_Obool)), _u11572), _u11573)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11570, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11569, _u11570, _u11571), _u11572)), hAPP(c_Set_Oimage(_u11569, _u11570, _u11571), _u11573))) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_pigeonhole ( axiom ) converted to clauses:
% 19.51/19.71 cnf(fact_pigeonhole-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u11574), hAPP(c_Set_Oimage(_u11575, _u11574, _u11576), _u11577))), hAPP(c_Finite__Set_Ocard(_u11575), _u11577))) | ~c_Fun_Oinj__on(_u11575, _u11574, _u11576, _u11577) )).
% 19.51/19.71
% 19.51/19.71 % Formula: fact_inj__on__fun__updI ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_inj__on__fun__updI-1, axiom, ( ~c_Fun_Oinj__on(_u11578, _u11579, _u11580, _u11581) | hBOOL(hAPP(hAPP(c_member(_u11579), _u11582), hAPP(c_Set_Oimage(_u11578, _u11579, _u11580), _u11581))) | c_Fun_Oinj__on(_u11578, _u11579, c_Fun_Ofun__upd(_u11578, _u11579, _u11580, _u11583, _u11582), _u11581) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_acc__subset ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_acc__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u11584, _u11584), tc_HOL_Obool)), _u11585), _u11586)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11584, tc_HOL_Obool)), c_Wellfounded_Oacc(_u11584, _u11586)), c_Wellfounded_Oacc(_u11584, _u11585))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_inj__singleton ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_inj__singleton-1, axiom, ( c_Fun_Oinj__on(_u11587, tc_fun(_u11587, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11587, tc_fun(_u11587, tc_HOL_Obool), tc_fun(_u11587, tc_HOL_Obool)), c_Set_Oinsert(_u11587)), c_Orderings_Obot__class_Obot(tc_fun(_u11587, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u11587, tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Rep__Integ ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Rep__Integ-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), hAPP(c_Int_ORep__Integ, _u11588)), c_Int_OInteg)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_card__bij__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_card__bij__eq-1, axiom, ( ~c_Fun_Oinj__on(_u11589, _u11590, _u11591, _u11592) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11590, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11589, _u11590, _u11591), _u11592)), _u11593)) | ~c_Fun_Oinj__on(_u11590, _u11589, _u11594, _u11593) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11589, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11590, _u11589, _u11594), _u11593)), _u11592)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11589), _u11592)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11590), _u11593)) | ( hAPP(c_Finite__Set_Ocard(_u11589), _u11592) = hAPP(c_Finite__Set_Ocard(_u11590), _u11593)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_inj__image__Compl__subset ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_inj__image__Compl__subset-1, axiom, ( ~c_Fun_Oinj__on(_u11595, _u11596, _u11597, c_Orderings_Otop__class_Otop(tc_fun(_u11595, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11596, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11595, _u11596, _u11597), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11595, tc_HOL_Obool)), _u11598))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11596, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11595, _u11596, _u11597), _u11598)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_acc_Osimps ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_acc_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11604), _u11606), c_Wellfounded_Oacc(_u11604, _u11608))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11604, _u11604)), hAPP(hAPP(c_Product__Type_OPair(_u11604, _u11604), _u11599), _u11606)), _u11608)) | hBOOL(hAPP(hAPP(c_member(_u11604), _u11599), c_Wellfounded_Oacc(_u11604, _u11608))) )).
% 19.51/19.72 cnf(fact_acc_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u11605), _u11607), c_Wellfounded_Oacc(_u11605, _u11609))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11605, _u11605)), hAPP(hAPP(c_Product__Type_OPair(_u11605, _u11605), skolem277(_u11609, _u11607, _u11605)), _u11607)), _u11609)) )).
% 19.51/19.72 cnf(fact_acc_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u11605), _u11607), c_Wellfounded_Oacc(_u11605, _u11609))) | ~hBOOL(hAPP(hAPP(c_member(_u11605), skolem277(_u11609, _u11607, _u11605)), c_Wellfounded_Oacc(_u11605, _u11609))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_acc__downward ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_acc__downward-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11610), _u11611), c_Wellfounded_Oacc(_u11610, _u11612))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11610, _u11610)), hAPP(hAPP(c_Product__Type_OPair(_u11610, _u11610), _u11613), _u11611)), _u11612)) | hBOOL(hAPP(hAPP(c_member(_u11610), _u11613), c_Wellfounded_Oacc(_u11610, _u11612))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_inj__on__insert ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_inj__on__insert-1, axiom, ( ~c_Fun_Oinj__on(_u11619, _u11621, _u11623, hAPP(hAPP(c_Set_Oinsert(_u11619), _u11625), _u11627)) | c_Fun_Oinj__on(_u11619, _u11621, _u11623, _u11627) )).
% 19.51/19.72 cnf(fact_inj__on__insert-2, axiom, ( ~c_Fun_Oinj__on(_u11619, _u11621, _u11623, hAPP(hAPP(c_Set_Oinsert(_u11619), _u11625), _u11627)) | ~hBOOL(hAPP(hAPP(c_member(_u11621), hAPP(_u11623, _u11625)), hAPP(c_Set_Oimage(_u11619, _u11621, _u11623), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11619, tc_HOL_Obool)), _u11627), hAPP(hAPP(c_Set_Oinsert(_u11619), _u11625), c_Orderings_Obot__class_Obot(tc_fun(_u11619, tc_HOL_Obool))))))) )).
% 19.51/19.72 cnf(fact_inj__on__insert-3, axiom, ( ~c_Fun_Oinj__on(_u11620, _u11622, _u11624, _u11628) | hBOOL(hAPP(hAPP(c_member(_u11622), hAPP(_u11624, _u11626)), hAPP(c_Set_Oimage(_u11620, _u11622, _u11624), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11620, tc_HOL_Obool)), _u11628), hAPP(hAPP(c_Set_Oinsert(_u11620), _u11626), c_Orderings_Obot__class_Obot(tc_fun(_u11620, tc_HOL_Obool))))))) | c_Fun_Oinj__on(_u11620, _u11622, _u11624, hAPP(hAPP(c_Set_Oinsert(_u11620), _u11626), _u11628)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_inj__on__Un ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_inj__on__Un-1, axiom, ( ~c_Fun_Oinj__on(_u11634, _u11636, _u11638, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11634, tc_HOL_Obool)), _u11640), _u11642)) | c_Fun_Oinj__on(_u11634, _u11636, _u11638, _u11640) )).
% 19.51/19.72 cnf(fact_inj__on__Un-2, axiom, ( ~c_Fun_Oinj__on(_u11634, _u11636, _u11638, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11634, tc_HOL_Obool)), _u11640), _u11642)) | c_Fun_Oinj__on(_u11634, _u11636, _u11638, _u11642) )).
% 19.51/19.72 cnf(fact_inj__on__Un-3, axiom, ( ~c_Fun_Oinj__on(_u11634, _u11636, _u11638, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11634, tc_HOL_Obool)), _u11640), _u11642)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11636, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11634, _u11636, _u11638), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11634, tc_HOL_Obool)), _u11640), _u11642))), hAPP(c_Set_Oimage(_u11634, _u11636, _u11638), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11634, tc_HOL_Obool)), _u11642), _u11640))) = c_Orderings_Obot__class_Obot(tc_fun(_u11636, tc_HOL_Obool))) )).
% 19.51/19.72 cnf(fact_inj__on__Un-4, axiom, ( ~c_Fun_Oinj__on(_u11635, _u11637, _u11639, _u11641) | ~c_Fun_Oinj__on(_u11635, _u11637, _u11639, _u11643) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11637, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11635, _u11637, _u11639), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11635, tc_HOL_Obool)), _u11641), _u11643))), hAPP(c_Set_Oimage(_u11635, _u11637, _u11639), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11635, tc_HOL_Obool)), _u11643), _u11641))) != c_Orderings_Obot__class_Obot(tc_fun(_u11637, tc_HOL_Obool))) | c_Fun_Oinj__on(_u11635, _u11637, _u11639, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11635, tc_HOL_Obool)), _u11641), _u11643)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_inj__on__iff__card__le ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_inj__on__iff__card__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11646), _u11647)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11648), _u11649)) | ~c_Fun_Oinj__on(_u11646, _u11648, _u11644, _u11647) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11648, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11646, _u11648, _u11644), _u11647)), _u11649)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u11646), _u11647)), hAPP(c_Finite__Set_Ocard(_u11648), _u11649))) )).
% 19.51/19.72 cnf(fact_inj__on__iff__card__le-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11646), _u11647)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11648), _u11649)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u11646), _u11647)), hAPP(c_Finite__Set_Ocard(_u11648), _u11649))) | c_Fun_Oinj__on(_u11646, _u11648, skolem278(_u11649, _u11648, _u11647, _u11646), _u11647) )).
% 19.51/19.72 cnf(fact_inj__on__iff__card__le-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11646), _u11647)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11648), _u11649)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u11646), _u11647)), hAPP(c_Finite__Set_Ocard(_u11648), _u11649))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11648, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11646, _u11648, skolem278(_u11649, _u11648, _u11647, _u11646)), _u11647)), _u11649)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_card__inj__on__le ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_card__inj__on__le-1, axiom, ( ~c_Fun_Oinj__on(_u11650, _u11651, _u11652, _u11653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11651, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11650, _u11651, _u11652), _u11653)), _u11654)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11651), _u11654)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u11650), _u11653)), hAPP(c_Finite__Set_Ocard(_u11651), _u11654))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_quotient__diff1 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_quotient__diff1-1, axiom, ( ~c_Fun_Oinj__on(_u11655, tc_fun(tc_fun(_u11655, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11655, tc_fun(tc_prod(_u11655, _u11655), tc_HOL_Obool), tc_fun(tc_fun(_u11655, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11655, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u11655, _u11655), tc_HOL_Obool), tc_fun(tc_fun(_u11655, tc_HOL_Obool), tc_HOL_Obool)), _u11655), c_Equiv__Relations_Oquotient(_u11655)), hAPP(hAPP(c_COMBC(_u11655, tc_fun(_u11655, tc_HOL_Obool), tc_fun(_u11655, tc_HOL_Obool)), c_Set_Oinsert(_u11655)), c_Orderings_Obot__class_Obot(tc_fun(_u11655, tc_HOL_Obool))))), _u11656), _u11657) | ~hBOOL(hAPP(hAPP(c_member(_u11655), _u11658), _u11657)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11655), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11655, tc_HOL_Obool)), _u11657), hAPP(hAPP(c_Set_Oinsert(_u11655), _u11658), c_Orderings_Obot__class_Obot(tc_fun(_u11655, tc_HOL_Obool))))), _u11656) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(_u11655, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11655), _u11657), _u11656)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11655), hAPP(hAPP(c_Set_Oinsert(_u11655), _u11658), c_Orderings_Obot__class_Obot(tc_fun(_u11655, tc_HOL_Obool)))), _u11656))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_image__INT ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_image__INT-1, axiom, ( ~c_Fun_Oinj__on(_u11660, _u11661, _u11662, _u11663) | ~hBOOL(hAPP(hAPP(c_member(_u11664), _u11667), _u11665)) | ( hAPP(c_Set_Oimage(_u11660, _u11661, _u11662), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11664, tc_fun(_u11660, tc_HOL_Obool)), _u11665), _u11666)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11664, tc_fun(_u11661, tc_HOL_Obool)), _u11665), hAPP(hAPP(c_COMBB(tc_fun(_u11660, tc_HOL_Obool), tc_fun(_u11661, tc_HOL_Obool), _u11664), c_Set_Oimage(_u11660, _u11661, _u11662)), _u11666))) | hBOOL(hAPP(hAPP(c_member(_u11664), skolem279(_u11667, _u11666, _u11665, _u11664, _u11663, _u11662, _u11661, _u11660)), _u11665)) )).
% 19.51/19.72 cnf(fact_image__INT-2, axiom, ( ~c_Fun_Oinj__on(_u11660, _u11661, _u11662, _u11663) | ~hBOOL(hAPP(hAPP(c_member(_u11664), _u11667), _u11665)) | ( hAPP(c_Set_Oimage(_u11660, _u11661, _u11662), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11664, tc_fun(_u11660, tc_HOL_Obool)), _u11665), _u11666)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11664, tc_fun(_u11661, tc_HOL_Obool)), _u11665), hAPP(hAPP(c_COMBB(tc_fun(_u11660, tc_HOL_Obool), tc_fun(_u11661, tc_HOL_Obool), _u11664), c_Set_Oimage(_u11660, _u11661, _u11662)), _u11666))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11660, tc_HOL_Obool)), hAPP(_u11666, skolem279(_u11667, _u11666, _u11665, _u11664, _u11663, _u11662, _u11661, _u11660))), _u11663)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_type__definition__Integ ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_type__definition__Integ-1, axiom, ( c_Typedef_Otype__definition(tc_Int_Oint, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), c_Int_ORep__Integ, c_Int_OAbs__Integ, c_Int_OInteg) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_the__inv__into__into ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_the__inv__into__into-1, axiom, ( ~c_Fun_Oinj__on(_u11668, _u11669, _u11670, _u11671) | ~hBOOL(hAPP(hAPP(c_member(_u11669), _u11672), hAPP(c_Set_Oimage(_u11668, _u11669, _u11670), _u11671))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11668, tc_HOL_Obool)), _u11671), _u11673)) | hBOOL(hAPP(hAPP(c_member(_u11668), hAPP(c_Fun_Othe__inv__into(_u11668, _u11669, _u11671, _u11670), _u11672)), _u11673)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_inj__on__add__nat ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_inj__on__add__nat-1, axiom, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Nat_Onat, hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u11674), _u11675) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_inj__Suc ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_inj__Suc-1, axiom, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc, _u11676) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_inj__of__nat ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_inj__of__nat-1, axiom, ( ~class_Nat_Osemiring__char__0(_u11677) | c_Fun_Oinj__on(tc_Nat_Onat, _u11677, c_Nat_Osemiring__1__class_Oof__nat(_u11677), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_inj__int ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_inj__int-1, axiom, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_swap__inj__on ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_swap__inj__on-1, axiom, ( c_Fun_Oinj__on(tc_prod(_u11678, _u11679), tc_prod(_u11679, _u11678), hAPP(c_Product__Type_Oprod_Oprod__case(_u11678, _u11679, tc_prod(_u11679, _u11678)), hAPP(c_COMBC(_u11679, _u11678, tc_prod(_u11679, _u11678)), c_Product__Type_OPair(_u11679, _u11678))), _u11680) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_the__inv__into__f__f ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_the__inv__into__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u11681, _u11682, _u11683, _u11684) | ~hBOOL(hAPP(hAPP(c_member(_u11681), _u11685), _u11684)) | ( hAPP(c_Fun_Othe__inv__into(_u11681, _u11682, _u11684, _u11683), hAPP(_u11683, _u11685)) = _u11685) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_the__inv__into__f__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_the__inv__into__f__eq-1, axiom, ( ~c_Fun_Oinj__on(_u11686, _u11687, _u11688, _u11689) | ( hAPP(_u11688, _u11690) != _u11691) | ~hBOOL(hAPP(hAPP(c_member(_u11686), _u11690), _u11689)) | ( hAPP(c_Fun_Othe__inv__into(_u11686, _u11687, _u11689, _u11688), _u11691) = _u11690) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_inj__on__the__inv__into ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_inj__on__the__inv__into-1, axiom, ( ~c_Fun_Oinj__on(_u11692, _u11693, _u11694, _u11695) | c_Fun_Oinj__on(_u11693, _u11692, c_Fun_Othe__inv__into(_u11692, _u11693, _u11695, _u11694), hAPP(c_Set_Oimage(_u11692, _u11693, _u11694), _u11695)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_the__inv__into__onto ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_the__inv__into__onto-1, axiom, ( ~c_Fun_Oinj__on(_u11696, _u11697, _u11698, _u11699) | ( hAPP(c_Set_Oimage(_u11697, _u11696, c_Fun_Othe__inv__into(_u11696, _u11697, _u11699, _u11698)), hAPP(c_Set_Oimage(_u11696, _u11697, _u11698), _u11699)) = _u11699) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_the__inv__f__f ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_the__inv__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u11700, _u11701, _u11702, c_Orderings_Otop__class_Otop(tc_fun(_u11700, tc_HOL_Obool))) | ( hAPP(c_Fun_Othe__inv__into(_u11700, _u11701, c_Orderings_Otop__class_Otop(tc_fun(_u11700, tc_HOL_Obool)), _u11702), hAPP(_u11702, _u11703)) = _u11703) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_f__the__inv__into__f ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_f__the__inv__into__f-1, axiom, ( ~c_Fun_Oinj__on(_u11704, _u11705, _u11706, _u11707) | ~hBOOL(hAPP(hAPP(c_member(_u11705), _u11708), hAPP(c_Set_Oimage(_u11704, _u11705, _u11706), _u11707))) | ( hAPP(_u11706, hAPP(c_Fun_Othe__inv__into(_u11704, _u11705, _u11707, _u11706), _u11708)) = _u11708) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_type__definition_OAbs__image ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_type__definition_OAbs__image-1, axiom, ( ~c_Typedef_Otype__definition(_u11709, _u11710, _u11711, _u11712, _u11713) | ( hAPP(c_Set_Oimage(_u11710, _u11709, _u11712), _u11713) = c_Orderings_Otop__class_Otop(tc_fun(_u11709, tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_type__definition_ORep__range ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_type__definition_ORep__range-1, axiom, ( ~c_Typedef_Otype__definition(_u11714, _u11715, _u11716, _u11717, _u11718) | ( hAPP(c_Set_Oimage(_u11714, _u11715, _u11716), c_Orderings_Otop__class_Otop(tc_fun(_u11714, tc_HOL_Obool))) = _u11718) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_type__definition_ORep ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_type__definition_ORep-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u11720), hAPP(_u11721, _u11724)), _u11723)) | ~c_Typedef_Otype__definition(_u11719, _u11720, _u11721, _u11722, _u11723) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_type__definition_ORep__inverse ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_type__definition_ORep__inverse-1, axiom, ( ( hAPP(_u11728, hAPP(_u11727, _u11730)) = _u11730) | ~c_Typedef_Otype__definition(_u11725, _u11726, _u11727, _u11728, _u11729) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_type__definition_ORep__inject ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_type__definition_ORep__inject-1, axiom, ( ~c_Typedef_Otype__definition(_u11731, _u11732, _u11733, _u11734, _u11735) | ( hAPP(_u11733, _u11736) != hAPP(_u11733, _u11737)) | ( _u11736 = _u11737) )).
% 19.51/19.72 cnf(fact_type__definition_ORep__inject-2, axiom, ( ~c_Typedef_Otype__definition(_u11731, _u11732, _u11733, _u11734, _u11735) | ( _u11736 != _u11737) | ( hAPP(_u11733, _u11736) = hAPP(_u11733, _u11737)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_type__definition_OAbs__inject ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_type__definition_OAbs__inject-1, axiom, ( ~c_Typedef_Otype__definition(_u11738, _u11739, _u11740, _u11741, _u11742) | ~hBOOL(hAPP(hAPP(c_member(_u11739), _u11743), _u11742)) | ~hBOOL(hAPP(hAPP(c_member(_u11739), _u11744), _u11742)) | ( hAPP(_u11741, _u11743) != hAPP(_u11741, _u11744)) | ( _u11743 = _u11744) )).
% 19.51/19.72 cnf(fact_type__definition_OAbs__inject-2, axiom, ( ~c_Typedef_Otype__definition(_u11738, _u11739, _u11740, _u11741, _u11742) | ~hBOOL(hAPP(hAPP(c_member(_u11739), _u11743), _u11742)) | ~hBOOL(hAPP(hAPP(c_member(_u11739), _u11744), _u11742)) | ( _u11743 != _u11744) | ( hAPP(_u11741, _u11743) = hAPP(_u11741, _u11744)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_type__definition_OAbs__inverse ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_type__definition_OAbs__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11746), _u11750), _u11749)) | ( hAPP(_u11747, hAPP(_u11748, _u11750)) = _u11750) | ~c_Typedef_Otype__definition(_u11745, _u11746, _u11747, _u11748, _u11749) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_max__extp_Oequations ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_max__extp_Oequations-1, axiom, ( ~c_Wellfounded_Omax__extp(_u11759, _u11761, _u11763, _u11765) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11759), _u11763)) )).
% 19.51/19.72 cnf(fact_max__extp_Oequations-2, axiom, ( ~c_Wellfounded_Omax__extp(_u11759, _u11761, _u11763, _u11765) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11759), _u11765)) )).
% 19.51/19.72 cnf(fact_max__extp_Oequations-3, axiom, ( ~c_Wellfounded_Omax__extp(_u11759, _u11761, _u11763, _u11765) | ( _u11765 != c_Orderings_Obot__class_Obot(tc_fun(_u11759, tc_HOL_Obool))) )).
% 19.51/19.72 cnf(fact_max__extp_Oequations-4, axiom, ( ~c_Wellfounded_Omax__extp(_u11759, _u11761, _u11763, _u11765) | ~hBOOL(hAPP(hAPP(c_member(_u11759), _u11752), _u11763)) | hBOOL(hAPP(hAPP(c_member(_u11759), skolem280(_u11765, _u11763, _u11761, _u11759, _u11752)), _u11765)) )).
% 19.51/19.72 cnf(fact_max__extp_Oequations-5, axiom, ( ~c_Wellfounded_Omax__extp(_u11759, _u11761, _u11763, _u11765) | ~hBOOL(hAPP(hAPP(c_member(_u11759), _u11752), _u11763)) | hBOOL(hAPP(hAPP(_u11761, _u11752), skolem280(_u11765, _u11763, _u11761, _u11759, _u11752))) )).
% 19.51/19.72 cnf(fact_max__extp_Oequations-6, axiom, ( c_Wellfounded_Omax__extp(_u11760, _u11762, _u11764, _u11766) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11760), _u11764)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11760), _u11766)) | ( _u11766 = c_Orderings_Obot__class_Obot(tc_fun(_u11760, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u11760), skolem281(_u11766, _u11764, _u11762, _u11760)), _u11764)) )).
% 19.51/19.72 cnf(fact_max__extp_Oequations-7, axiom, ( c_Wellfounded_Omax__extp(_u11760, _u11762, _u11764, _u11766) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11760), _u11764)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11760), _u11766)) | ( _u11766 = c_Orderings_Obot__class_Obot(tc_fun(_u11760, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u11760), _u11753), _u11766)) | ~hBOOL(hAPP(hAPP(_u11762, skolem281(_u11766, _u11764, _u11762, _u11760)), _u11753)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_max__ext_Ointros ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_max__ext_Ointros-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11769), _u11770)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11769), _u11771)) | ( _u11771 = c_Orderings_Obot__class_Obot(tc_fun(_u11769, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11769, tc_HOL_Obool), tc_fun(_u11769, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11769, tc_HOL_Obool), tc_fun(_u11769, tc_HOL_Obool)), _u11770), _u11771)), c_Wellfounded_Omax__ext(_u11769, _u11772))) | hBOOL(hAPP(hAPP(c_member(_u11769), skolem282(_u11772, _u11771, _u11770, _u11769)), _u11770)) )).
% 19.51/19.72 cnf(fact_max__ext_Ointros-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11769), _u11770)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11769), _u11771)) | ( _u11771 = c_Orderings_Obot__class_Obot(tc_fun(_u11769, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11769, tc_HOL_Obool), tc_fun(_u11769, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11769, tc_HOL_Obool), tc_fun(_u11769, tc_HOL_Obool)), _u11770), _u11771)), c_Wellfounded_Omax__ext(_u11769, _u11772))) | ~hBOOL(hAPP(hAPP(c_member(_u11769), _u11767), _u11771)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11769, _u11769)), hAPP(hAPP(c_Product__Type_OPair(_u11769, _u11769), skolem282(_u11772, _u11771, _u11770, _u11769)), _u11767)), _u11772)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Nitpick_Ozero__frac__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Nitpick_Ozero__frac__def-1, axiom, ( ( c_Nitpick_Ozero__frac(_u11773) = c_Nitpick_OAbs__Frac(_u11773, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Nitpick_Oone__frac__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Nitpick_Oone__frac__def-1, axiom, ( ( c_Nitpick_Oone__frac(_u11774) = c_Nitpick_OAbs__Frac(_u11774, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Nitpick_Onumber__of__frac__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Nitpick_Onumber__of__frac__def-1, axiom, ( ( c_Nitpick_Onumber__of__frac(_u11775, _u11776) = c_Nitpick_OAbs__Frac(_u11775, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11776), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Nitpick_Ofrac__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Nitpick_Ofrac__def-1, axiom, ( ( hAPP(hAPP(c_Nitpick_Ofrac(_u11777), _u11778), _u11779) = c_Nitpick_OAbs__Frac(_u11777, c_Nitpick_Onorm__frac(_u11778, _u11779))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_inj__on__Inter ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_inj__on__Inter-1, axiom, ( ( _u11781 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11782, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u11782, _u11783, _u11784, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u11782, tc_HOL_Obool), _u11781)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11782, tc_HOL_Obool)), skolem283(_u11784, _u11783, _u11782, _u11781)), _u11781)) )).
% 19.51/19.72 cnf(fact_inj__on__Inter-2, axiom, ( ( _u11781 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11782, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u11782, _u11783, _u11784, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u11782, tc_HOL_Obool), _u11781)) | ~c_Fun_Oinj__on(_u11782, _u11783, _u11784, skolem283(_u11784, _u11783, _u11782, _u11781)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_the__elem__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_the__elem__def-1, axiom, ( ( c_Set_Othe__elem(_u11785, _u11786) = c_HOL_OThe(_u11785, hAPP(hAPP(c_COMBB(tc_fun(_u11785, tc_HOL_Obool), tc_HOL_Obool, _u11785), hAPP(c_fequal, _u11786)), hAPP(hAPP(c_COMBC(_u11785, tc_fun(_u11785, tc_HOL_Obool), tc_fun(_u11785, tc_HOL_Obool)), c_Set_Oinsert(_u11785)), c_Orderings_Obot__class_Obot(tc_fun(_u11785, tc_HOL_Obool)))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_folding__one__idem_Ohom__commute ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_folding__one__idem_Ohom__commute-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u11789, _u11790, _u11791) | ( hAPP(_u11792, hAPP(hAPP(_u11790, skolem284(_u11793, _u11792, _u11791, _u11790, _u11789)), skolem285(_u11793, _u11792, _u11791, _u11790, _u11789))) != hAPP(hAPP(_u11790, hAPP(_u11792, skolem284(_u11793, _u11792, _u11791, _u11790, _u11789))), hAPP(_u11792, skolem285(_u11793, _u11792, _u11791, _u11790, _u11789)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11789), _u11793)) | ( _u11793 = c_Orderings_Obot__class_Obot(tc_fun(_u11789, tc_HOL_Obool))) | ( hAPP(_u11792, hAPP(_u11791, _u11793)) = hAPP(_u11791, hAPP(c_Set_Oimage(_u11789, _u11789, _u11792), _u11793))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_The__split__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_The__split__eq-1, axiom, ( ( c_HOL_OThe(tc_prod(_u11794, _u11795), hAPP(c_Product__Type_Oprod_Oprod__case(_u11794, _u11795, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11794, tc_fun(_u11795, tc_HOL_Obool), tc_fun(_u11795, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u11795, tc_HOL_Obool), tc_fun(_u11795, tc_HOL_Obool)), _u11794), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u11795)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11794), c_fconj), hAPP(c_fequal, _u11796)))), hAPP(c_fequal, _u11797)))) = hAPP(hAPP(c_Product__Type_OPair(_u11794, _u11795), _u11796), _u11797)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_split__paired__The ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_split__paired__The-1, axiom, ( ( c_HOL_OThe(tc_prod(_u11798, _u11799), _u11800) = c_HOL_OThe(tc_prod(_u11798, _u11799), hAPP(c_Product__Type_Oprod_Oprod__case(_u11798, _u11799, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u11799, tc_prod(_u11798, _u11799)), tc_fun(_u11799, tc_HOL_Obool), _u11798), hAPP(c_COMBB(tc_prod(_u11798, _u11799), tc_HOL_Obool, _u11799), _u11800)), c_Product__Type_OPair(_u11798, _u11799))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_the__inv__into__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_the__inv__into__def-1, axiom, ( ( hAPP(c_Fun_Othe__inv__into(_u11801, _u11802, _u11803, _u11804), _u11805) = c_HOL_OThe(_u11801, hAPP(hAPP(c_COMBS(_u11801, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11801), c_fconj), hAPP(hAPP(c_COMBC(_u11801, tc_fun(_u11801, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11801)), _u11803))), hAPP(hAPP(c_COMBC(_u11801, _u11802, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u11802, tc_fun(_u11802, tc_HOL_Obool), _u11801), c_fequal), _u11804)), _u11805)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_fold__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_fold__def-1, axiom, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u11806, _u11807, _u11808), _u11809), _u11810) = c_HOL_OThe(_u11807, c_Finite__Set_Ofold__graph(_u11806, _u11807, _u11808, _u11809, _u11810))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_divmod__nat__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_divmod__nat__def-1, axiom, ( ( c_Divides_Odivmod__nat(_u11811, _u11812) = c_HOL_OThe(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat__rel(_u11811, _u11812))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_fold1__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_fold1__def-1, axiom, ( ( hAPP(c_Finite__Set_Ofold1(_u11813, _u11814), _u11815) = c_HOL_OThe(_u11813, c_Finite__Set_Ofold1Set(_u11813, _u11814, _u11815))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_The__split ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_The__split-1, axiom, ( ( c_HOL_OThe(tc_prod(_u11816, _u11817), hAPP(c_Product__Type_Oprod_Oprod__case(_u11816, _u11817, tc_HOL_Obool), _u11818)) = c_HOL_OThe(tc_prod(_u11816, _u11817), hAPP(hAPP(c_COMBS(tc_prod(_u11816, _u11817), _u11817, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u11816, tc_fun(_u11817, tc_HOL_Obool), tc_prod(_u11816, _u11817)), _u11818), c_Product__Type_Ofst(_u11816, _u11817))), c_Product__Type_Osnd(_u11816, _u11817)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_flat__lub__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_flat__lub__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11822, tc_HOL_Obool)), _u11824), hAPP(hAPP(c_Set_Oinsert(_u11822), _u11826), c_Orderings_Obot__class_Obot(tc_fun(_u11822, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u11822, _u11826, _u11824) = _u11826) )).
% 19.51/19.72 cnf(fact_flat__lub__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11823, tc_HOL_Obool)), _u11825), hAPP(hAPP(c_Set_Oinsert(_u11823), _u11827), c_Orderings_Obot__class_Obot(tc_fun(_u11823, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u11823, _u11827, _u11825) = c_HOL_OThe(_u11823, hAPP(hAPP(c_COMBC(_u11823, tc_fun(_u11823, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11823)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11823, tc_HOL_Obool)), _u11825), hAPP(hAPP(c_Set_Oinsert(_u11823), _u11827), c_Orderings_Obot__class_Obot(tc_fun(_u11823, tc_HOL_Obool))))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_inj__vimage__singleton ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_inj__vimage__singleton-1, axiom, ( ~c_Fun_Oinj__on(_u11828, _u11829, _u11830, c_Orderings_Otop__class_Otop(tc_fun(_u11828, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11828, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u11828, _u11829, _u11830), hAPP(hAPP(c_Set_Oinsert(_u11829), _u11831), c_Orderings_Obot__class_Obot(tc_fun(_u11829, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u11828), c_HOL_OThe(_u11828, hAPP(hAPP(c_COMBC(_u11828, _u11829, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u11829, tc_fun(_u11829, tc_HOL_Obool), _u11828), c_fequal), _u11830)), _u11831))), c_Orderings_Obot__class_Obot(tc_fun(_u11828, tc_HOL_Obool))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Rep__Integ__cases ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Rep__Integ__cases-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), _u11833), c_Int_OInteg)) | ( _u11833 = hAPP(c_Int_ORep__Integ, skolem286(_u11833))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_vimageI ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_vimageI-1, axiom, ( ( hAPP(_u11834, _u11835) != _u11836) | ~hBOOL(hAPP(hAPP(c_member(_u11837), _u11836), _u11838)) | hBOOL(hAPP(hAPP(c_member(_u11839), _u11835), hAPP(c_Set_Ovimage(_u11839, _u11837, _u11834), _u11838))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_vimage__Diff ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_vimage__Diff-1, axiom, ( ( hAPP(c_Set_Ovimage(_u11840, _u11841, _u11842), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11841, tc_HOL_Obool)), _u11843), _u11844)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11840, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u11840, _u11841, _u11842), _u11843)), hAPP(c_Set_Ovimage(_u11840, _u11841, _u11842), _u11844))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_vimageI2 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_vimageI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11845), hAPP(_u11846, _u11847)), _u11848)) | hBOOL(hAPP(hAPP(c_member(_u11849), _u11847), hAPP(c_Set_Ovimage(_u11849, _u11845, _u11846), _u11848))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_vimageD ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_vimageD-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u11852), hAPP(_u11853, _u11851)), _u11854)) | ~hBOOL(hAPP(hAPP(c_member(_u11850), _u11851), hAPP(c_Set_Ovimage(_u11850, _u11852, _u11853), _u11854))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_vimage__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_vimage__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u11864), hAPP(_u11866, _u11862)), _u11868)) | ~hBOOL(hAPP(hAPP(c_member(_u11860), _u11862), hAPP(c_Set_Ovimage(_u11860, _u11864, _u11866), _u11868))) )).
% 19.51/19.72 cnf(fact_vimage__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11865), hAPP(_u11867, _u11863)), _u11869)) | hBOOL(hAPP(hAPP(c_member(_u11861), _u11863), hAPP(c_Set_Ovimage(_u11861, _u11865, _u11867), _u11869))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_vimage__ident ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_vimage__ident-1, axiom, ( ( hAPP(c_Set_Ovimage(_u11870, _u11870, c_COMBI(_u11870)), _u11871) = _u11871) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_vimage__Compl ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_vimage__Compl-1, axiom, ( ( hAPP(c_Set_Ovimage(_u11872, _u11873, _u11874), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11873, tc_HOL_Obool)), _u11875)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11872, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u11872, _u11873, _u11874), _u11875))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_vimage__code ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_vimage__code-1, axiom, ( hBOOL(hAPP(_u11887, hAPP(_u11885, _u11889))) | ~hBOOL(hAPP(hAPP(c_Set_Ovimage(_u11881, _u11883, _u11885), _u11887), _u11889)) )).
% 19.51/19.72 cnf(fact_vimage__code-2, axiom, ( ~hBOOL(hAPP(_u11888, hAPP(_u11886, _u11890))) | hBOOL(hAPP(hAPP(c_Set_Ovimage(_u11882, _u11884, _u11886), _u11888), _u11890)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_vimage__empty ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_vimage__empty-1, axiom, ( ( hAPP(c_Set_Ovimage(_u11891, _u11892, _u11893), c_Orderings_Obot__class_Obot(tc_fun(_u11892, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u11891, tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_vimage__INT ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_vimage__INT-1, axiom, ( ( hAPP(c_Set_Ovimage(_u11894, _u11895, _u11896), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11897, tc_fun(_u11895, tc_HOL_Obool)), _u11898), _u11899)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11897, tc_fun(_u11894, tc_HOL_Obool)), _u11898), hAPP(hAPP(c_COMBB(tc_fun(_u11895, tc_HOL_Obool), tc_fun(_u11894, tc_HOL_Obool), _u11897), c_Set_Ovimage(_u11894, _u11895, _u11896)), _u11899))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_vimage__Int ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_vimage__Int-1, axiom, ( ( hAPP(c_Set_Ovimage(_u11900, _u11901, _u11902), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11901, tc_HOL_Obool)), _u11903), _u11904)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11900, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u11900, _u11901, _u11902), _u11903)), hAPP(c_Set_Ovimage(_u11900, _u11901, _u11902), _u11904))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_vimage__mono ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_vimage__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11905, tc_HOL_Obool)), _u11906), _u11907)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11908, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u11908, _u11905, _u11909), _u11906)), hAPP(c_Set_Ovimage(_u11908, _u11905, _u11909), _u11907))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_vimage__Un ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_vimage__Un-1, axiom, ( ( hAPP(c_Set_Ovimage(_u11910, _u11911, _u11912), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11911, tc_HOL_Obool)), _u11913), _u11914)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11910, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u11910, _u11911, _u11912), _u11913)), hAPP(c_Set_Ovimage(_u11910, _u11911, _u11912), _u11914))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_vimage__UN ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_vimage__UN-1, axiom, ( ( hAPP(c_Set_Ovimage(_u11915, _u11916, _u11917), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11918, tc_fun(_u11916, tc_HOL_Obool)), _u11919), _u11920)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11918, tc_fun(_u11915, tc_HOL_Obool)), _u11919), hAPP(hAPP(c_COMBB(tc_fun(_u11916, tc_HOL_Obool), tc_fun(_u11915, tc_HOL_Obool), _u11918), c_Set_Ovimage(_u11915, _u11916, _u11917)), _u11920))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_vimage__UNIV ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_vimage__UNIV-1, axiom, ( ( hAPP(c_Set_Ovimage(_u11921, _u11922, _u11923), c_Orderings_Otop__class_Otop(tc_fun(_u11922, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u11921, tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_image__vimage__subset ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_image__vimage__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11924, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11925, _u11924, _u11926), hAPP(c_Set_Ovimage(_u11925, _u11924, _u11926), _u11927))), _u11927)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_surj__image__vimage__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_surj__image__vimage__eq-1, axiom, ( ( hAPP(c_Set_Oimage(_u11928, _u11929, _u11930), c_Orderings_Otop__class_Otop(tc_fun(_u11928, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u11929, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11928, _u11929, _u11930), hAPP(c_Set_Ovimage(_u11928, _u11929, _u11930), _u11931)) = _u11931) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_vimage__Union ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_vimage__Union-1, axiom, ( ( hAPP(c_Set_Ovimage(_u11932, _u11933, _u11934), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u11933, tc_HOL_Obool), _u11935)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u11933, tc_HOL_Obool), tc_fun(_u11932, tc_HOL_Obool)), _u11935), c_Set_Ovimage(_u11932, _u11933, _u11934))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_vimage__singleton__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_vimage__singleton__eq-1, axiom, ( ( hAPP(_u11947, _u11943) = _u11949) | ~hBOOL(hAPP(hAPP(c_member(_u11941), _u11943), hAPP(c_Set_Ovimage(_u11941, _u11945, _u11947), hAPP(hAPP(c_Set_Oinsert(_u11945), _u11949), c_Orderings_Obot__class_Obot(tc_fun(_u11945, tc_HOL_Obool)))))) )).
% 19.51/19.72 cnf(fact_vimage__singleton__eq-2, axiom, ( ( hAPP(_u11948, _u11944) != _u11950) | hBOOL(hAPP(hAPP(c_member(_u11942), _u11944), hAPP(c_Set_Ovimage(_u11942, _u11946, _u11948), hAPP(hAPP(c_Set_Oinsert(_u11946), _u11950), c_Orderings_Obot__class_Obot(tc_fun(_u11946, tc_HOL_Obool)))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_vimage__insert ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_vimage__insert-1, axiom, ( ( hAPP(c_Set_Ovimage(_u11951, _u11952, _u11953), hAPP(hAPP(c_Set_Oinsert(_u11952), _u11954), _u11955)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11951, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u11951, _u11952, _u11953), hAPP(hAPP(c_Set_Oinsert(_u11952), _u11954), c_Orderings_Obot__class_Obot(tc_fun(_u11952, tc_HOL_Obool))))), hAPP(c_Set_Ovimage(_u11951, _u11952, _u11953), _u11955))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_finite__vimageD ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_finite__vimageD-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11956), hAPP(c_Set_Ovimage(_u11956, _u11957, _u11958), _u11959))) | ( hAPP(c_Set_Oimage(_u11956, _u11957, _u11958), c_Orderings_Otop__class_Otop(tc_fun(_u11956, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u11957, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11957), _u11959)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_vimage__subsetD ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_vimage__subsetD-1, axiom, ( ( hAPP(c_Set_Oimage(_u11960, _u11961, _u11962), c_Orderings_Otop__class_Otop(tc_fun(_u11960, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u11961, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11960, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u11960, _u11961, _u11962), _u11963)), _u11964)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11961, tc_HOL_Obool)), _u11963), hAPP(c_Set_Oimage(_u11960, _u11961, _u11962), _u11964))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_image__vimage__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_image__vimage__eq-1, axiom, ( ( hAPP(c_Set_Oimage(_u11965, _u11966, _u11967), hAPP(c_Set_Ovimage(_u11965, _u11966, _u11967), _u11968)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11966, tc_HOL_Obool)), _u11968), hAPP(c_Set_Oimage(_u11965, _u11966, _u11967), c_Orderings_Otop__class_Otop(tc_fun(_u11965, tc_HOL_Obool))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_finite__vimageI ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_finite__vimageI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11969), _u11970)) | ~c_Fun_Oinj__on(_u11971, _u11969, _u11972, c_Orderings_Otop__class_Otop(tc_fun(_u11971, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11971), hAPP(c_Set_Ovimage(_u11971, _u11969, _u11972), _u11970))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_inj__vimage__image__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_inj__vimage__image__eq-1, axiom, ( ~c_Fun_Oinj__on(_u11973, _u11974, _u11975, c_Orderings_Otop__class_Otop(tc_fun(_u11973, tc_HOL_Obool))) | ( hAPP(c_Set_Ovimage(_u11973, _u11974, _u11975), hAPP(c_Set_Oimage(_u11973, _u11974, _u11975), _u11976)) = _u11976) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_vimage__const ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_vimage__const-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11981), _u11983), _u11985)) | ( hAPP(c_Set_Ovimage(_u11987, _u11981, hAPP(c_COMBK(_u11981, _u11987), _u11983)), _u11985) = c_Orderings_Otop__class_Otop(tc_fun(_u11987, tc_HOL_Obool))) )).
% 19.51/19.72 cnf(fact_vimage__const-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u11982), _u11984), _u11986)) | ( hAPP(c_Set_Ovimage(_u11988, _u11982, hAPP(c_COMBK(_u11982, _u11988), _u11984)), _u11986) = c_Orderings_Obot__class_Obot(tc_fun(_u11988, tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_vimage__eq__UN ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_vimage__eq__UN-1, axiom, ( ( hAPP(c_Set_Ovimage(_u11989, _u11990, _u11991), _u11992) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11990, tc_fun(_u11989, tc_HOL_Obool)), _u11992), hAPP(hAPP(c_COMBB(tc_fun(_u11990, tc_HOL_Obool), tc_fun(_u11989, tc_HOL_Obool), _u11990), c_Set_Ovimage(_u11989, _u11990, _u11991)), hAPP(hAPP(c_COMBC(_u11990, tc_fun(_u11990, tc_HOL_Obool), tc_fun(_u11990, tc_HOL_Obool)), c_Set_Oinsert(_u11990)), c_Orderings_Obot__class_Obot(tc_fun(_u11990, tc_HOL_Obool)))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_vimage__subsetI ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_vimage__subsetI-1, axiom, ( ~c_Fun_Oinj__on(_u11993, _u11994, _u11995, c_Orderings_Otop__class_Otop(tc_fun(_u11993, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11994, tc_HOL_Obool)), _u11996), hAPP(c_Set_Oimage(_u11993, _u11994, _u11995), _u11997))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11993, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u11993, _u11994, _u11995), _u11996)), _u11997)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_vimage__if ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_vimage__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12004), _u12006), _u12008)) | ~hBOOL(hAPP(hAPP(c_member(_u12004), _u12010), _u12008)) | ( hAPP(c_Set_Ovimage(_u12012, _u12004, hAPP(hAPP(c_COMBC(_u12012, _u12004, _u12004), hAPP(hAPP(c_COMBC(_u12012, _u12004, tc_fun(_u12004, _u12004)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12004, tc_fun(_u12004, _u12004)), _u12012), c_If(_u12004)), hAPP(hAPP(c_COMBC(_u12012, tc_fun(_u12012, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12012)), _u12014))), _u12006)), _u12010)), _u12008) = c_Orderings_Otop__class_Otop(tc_fun(_u12012, tc_HOL_Obool))) )).
% 19.51/19.72 cnf(fact_vimage__if-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12004), _u12006), _u12008)) | hBOOL(hAPP(hAPP(c_member(_u12004), _u12010), _u12008)) | ( hAPP(c_Set_Ovimage(_u12012, _u12004, hAPP(hAPP(c_COMBC(_u12012, _u12004, _u12004), hAPP(hAPP(c_COMBC(_u12012, _u12004, tc_fun(_u12004, _u12004)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12004, tc_fun(_u12004, _u12004)), _u12012), c_If(_u12004)), hAPP(hAPP(c_COMBC(_u12012, tc_fun(_u12012, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12012)), _u12014))), _u12006)), _u12010)), _u12008) = _u12014) )).
% 19.51/19.72 cnf(fact_vimage__if-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12005), _u12007), _u12009)) | ~hBOOL(hAPP(hAPP(c_member(_u12005), _u12011), _u12009)) | ( hAPP(c_Set_Ovimage(_u12013, _u12005, hAPP(hAPP(c_COMBC(_u12013, _u12005, _u12005), hAPP(hAPP(c_COMBC(_u12013, _u12005, tc_fun(_u12005, _u12005)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12005, tc_fun(_u12005, _u12005)), _u12013), c_If(_u12005)), hAPP(hAPP(c_COMBC(_u12013, tc_fun(_u12013, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12013)), _u12015))), _u12007)), _u12011)), _u12009) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12013, tc_HOL_Obool)), _u12015)) )).
% 19.51/19.72 cnf(fact_vimage__if-4, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12005), _u12007), _u12009)) | hBOOL(hAPP(hAPP(c_member(_u12005), _u12011), _u12009)) | ( hAPP(c_Set_Ovimage(_u12013, _u12005, hAPP(hAPP(c_COMBC(_u12013, _u12005, _u12005), hAPP(hAPP(c_COMBC(_u12013, _u12005, tc_fun(_u12005, _u12005)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12005, tc_fun(_u12005, _u12005)), _u12013), c_If(_u12005)), hAPP(hAPP(c_COMBC(_u12013, tc_fun(_u12013, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12013)), _u12015))), _u12007)), _u12011)), _u12009) = c_Orderings_Obot__class_Obot(tc_fun(_u12013, tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_image__split__eq__Sigma ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_image__split__eq__Sigma-1, axiom, ( ( hAPP(c_Set_Oimage(_u12016, tc_prod(_u12017, _u12018), hAPP(hAPP(c_COMBS(_u12016, _u12018, tc_prod(_u12017, _u12018)), hAPP(hAPP(c_COMBB(_u12017, tc_fun(_u12018, tc_prod(_u12017, _u12018)), _u12016), c_Product__Type_OPair(_u12017, _u12018)), _u12019)), _u12020)), _u12021) = hAPP(hAPP(c_Product__Type_OSigma(_u12017, _u12018), hAPP(c_Set_Oimage(_u12016, _u12017, _u12019), _u12021)), hAPP(hAPP(c_COMBB(tc_fun(_u12016, tc_HOL_Obool), tc_fun(_u12018, tc_HOL_Obool), _u12017), c_Set_Oimage(_u12016, _u12018, _u12020)), hAPP(hAPP(c_COMBC(_u12017, tc_fun(_u12016, tc_HOL_Obool), tc_fun(_u12016, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12016, tc_HOL_Obool), tc_fun(tc_fun(_u12016, tc_HOL_Obool), tc_fun(_u12016, tc_HOL_Obool)), _u12017), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12016, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12017, tc_HOL_Obool), tc_fun(_u12016, tc_HOL_Obool), _u12017), c_Set_Ovimage(_u12016, _u12017, _u12019)), hAPP(hAPP(c_COMBC(_u12017, tc_fun(_u12017, tc_HOL_Obool), tc_fun(_u12017, tc_HOL_Obool)), c_Set_Oinsert(_u12017)), c_Orderings_Obot__class_Obot(tc_fun(_u12017, tc_HOL_Obool)))))), _u12021)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Rep__Integ__induct ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Rep__Integ__induct-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), _u12023), c_Int_OInteg)) | ~hBOOL(hAPP(_u12024, hAPP(c_Int_ORep__Integ, skolem287(_u12024, _u12023)))) | hBOOL(hAPP(_u12024, _u12023)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_inj__on__INTER ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_inj__on__INTER-1, axiom, ( ( _u12026 = c_Orderings_Obot__class_Obot(tc_fun(_u12027, tc_HOL_Obool))) | c_Fun_Oinj__on(_u12028, _u12029, _u12030, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u12027, tc_fun(_u12028, tc_HOL_Obool)), _u12026), _u12031)) | hBOOL(hAPP(hAPP(c_member(_u12027), skolem288(_u12031, _u12030, _u12029, _u12028, _u12027, _u12026)), _u12026)) )).
% 19.51/19.72 cnf(fact_inj__on__INTER-2, axiom, ( ( _u12026 = c_Orderings_Obot__class_Obot(tc_fun(_u12027, tc_HOL_Obool))) | c_Fun_Oinj__on(_u12028, _u12029, _u12030, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u12027, tc_fun(_u12028, tc_HOL_Obool)), _u12026), _u12031)) | ~c_Fun_Oinj__on(_u12028, _u12029, _u12030, hAPP(_u12031, skolem288(_u12031, _u12030, _u12029, _u12028, _u12027, _u12026))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_SigmaI ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_SigmaI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12032), _u12033), _u12034)) | ~hBOOL(hAPP(hAPP(c_member(_u12035), _u12036), hAPP(_u12037, _u12033))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12032, _u12035)), hAPP(hAPP(c_Product__Type_OPair(_u12032, _u12035), _u12033), _u12036)), hAPP(hAPP(c_Product__Type_OSigma(_u12032, _u12035), _u12034), _u12037))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Sigma__Union ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Sigma__Union-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12038, _u12039), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u12038, tc_HOL_Obool), _u12040)), _u12041) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u12038, tc_HOL_Obool), tc_fun(tc_prod(_u12038, _u12039), tc_HOL_Obool)), _u12040), hAPP(hAPP(c_COMBC(tc_fun(_u12038, tc_HOL_Obool), tc_fun(_u12038, tc_fun(_u12039, tc_HOL_Obool)), tc_fun(tc_prod(_u12038, _u12039), tc_HOL_Obool)), c_Product__Type_OSigma(_u12038, _u12039)), _u12041))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Times__eq__cancel2 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Times__eq__cancel2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12042), _u12043), _u12044)) | ( hAPP(hAPP(c_Product__Type_OSigma(_u12045, _u12042), _u12046), hAPP(c_COMBK(tc_fun(_u12042, tc_HOL_Obool), _u12045), _u12044)) != hAPP(hAPP(c_Product__Type_OSigma(_u12045, _u12042), _u12047), hAPP(c_COMBK(tc_fun(_u12042, tc_HOL_Obool), _u12045), _u12044))) | ( _u12046 = _u12047) )).
% 19.51/19.72 cnf(fact_Times__eq__cancel2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12042), _u12043), _u12044)) | ( _u12046 != _u12047) | ( hAPP(hAPP(c_Product__Type_OSigma(_u12045, _u12042), _u12046), hAPP(c_COMBK(tc_fun(_u12042, tc_HOL_Obool), _u12045), _u12044)) = hAPP(hAPP(c_Product__Type_OSigma(_u12045, _u12042), _u12047), hAPP(c_COMBK(tc_fun(_u12042, tc_HOL_Obool), _u12045), _u12044))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Sigma__Diff__distrib1 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Sigma__Diff__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12048, _u12049), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12048, tc_HOL_Obool)), _u12050), _u12051)), _u12052) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12048, _u12049), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12048, _u12049), _u12050), _u12052)), hAPP(hAPP(c_Product__Type_OSigma(_u12048, _u12049), _u12051), _u12052))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Times__Diff__distrib1 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Times__Diff__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12053, _u12054), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12053, tc_HOL_Obool)), _u12055), _u12056)), hAPP(c_COMBK(tc_fun(_u12054, tc_HOL_Obool), _u12053), _u12057)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12053, _u12054), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12053, _u12054), _u12055), hAPP(c_COMBK(tc_fun(_u12054, tc_HOL_Obool), _u12053), _u12057))), hAPP(hAPP(c_Product__Type_OSigma(_u12053, _u12054), _u12056), hAPP(c_COMBK(tc_fun(_u12054, tc_HOL_Obool), _u12053), _u12057)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Sigma__Diff__distrib2 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Sigma__Diff__distrib2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12058, _u12059), _u12060), hAPP(hAPP(c_COMBS(_u12058, tc_fun(_u12059, tc_HOL_Obool), tc_fun(_u12059, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12059, tc_HOL_Obool), tc_fun(tc_fun(_u12059, tc_HOL_Obool), tc_fun(_u12059, tc_HOL_Obool)), _u12058), c_Groups_Ominus__class_Ominus(tc_fun(_u12059, tc_HOL_Obool))), _u12061)), _u12062)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12058, _u12059), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12058, _u12059), _u12060), _u12061)), hAPP(hAPP(c_Product__Type_OSigma(_u12058, _u12059), _u12060), _u12062))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Sigma__empty1 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Sigma__empty1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12063, _u12064), c_Orderings_Obot__class_Obot(tc_fun(_u12063, tc_HOL_Obool))), _u12065) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12063, _u12064), tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_card__cartesian__product ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_card__cartesian__product-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12066, _u12067)), hAPP(hAPP(c_Product__Type_OSigma(_u12066, _u12067), _u12068), hAPP(c_COMBK(tc_fun(_u12067, tc_HOL_Obool), _u12066), _u12069))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12066), _u12068)), hAPP(c_Finite__Set_Ocard(_u12067), _u12069))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_setsum__cartesian__product ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_setsum__cartesian__product-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12070) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12071, _u12070), hAPP(hAPP(c_COMBC(_u12071, tc_fun(_u12072, tc_HOL_Obool), _u12070), hAPP(hAPP(c_COMBB(tc_fun(_u12072, _u12070), tc_fun(tc_fun(_u12072, tc_HOL_Obool), _u12070), _u12071), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12072, _u12070)), _u12073)), _u12074)), _u12075) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u12071, _u12072), _u12070), hAPP(c_Product__Type_Oprod_Oprod__case(_u12071, _u12072, _u12070), _u12073)), hAPP(hAPP(c_Product__Type_OSigma(_u12071, _u12072), _u12075), hAPP(c_COMBK(tc_fun(_u12072, tc_HOL_Obool), _u12071), _u12074)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Sigma__empty2 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Sigma__empty2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12076, _u12077), _u12078), hAPP(c_COMBK(tc_fun(_u12077, tc_HOL_Obool), _u12076), c_Orderings_Obot__class_Obot(tc_fun(_u12077, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12076, _u12077), tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Times__empty ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Times__empty-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12083, _u12085), _u12087), hAPP(c_COMBK(tc_fun(_u12085, tc_HOL_Obool), _u12083), _u12089)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12083, _u12085), tc_HOL_Obool))) | ( _u12087 = c_Orderings_Obot__class_Obot(tc_fun(_u12083, tc_HOL_Obool))) | ( _u12089 = c_Orderings_Obot__class_Obot(tc_fun(_u12085, tc_HOL_Obool))) )).
% 19.51/19.72 cnf(fact_Times__empty-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12084, _u12086), _u12088), hAPP(c_COMBK(tc_fun(_u12086, tc_HOL_Obool), _u12084), _u12090)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12084, _u12086), tc_HOL_Obool))) | ( _u12088 != c_Orderings_Obot__class_Obot(tc_fun(_u12084, tc_HOL_Obool))) )).
% 19.51/19.72 cnf(fact_Times__empty-3, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12084, _u12086), _u12088), hAPP(c_COMBK(tc_fun(_u12086, tc_HOL_Obool), _u12084), _u12090)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12084, _u12086), tc_HOL_Obool))) | ( _u12090 != c_Orderings_Obot__class_Obot(tc_fun(_u12086, tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Compl__Times__UNIV1 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Compl__Times__UNIV1-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u12091, _u12092), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12091, _u12092), c_Orderings_Otop__class_Otop(tc_fun(_u12091, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u12092, tc_HOL_Obool), _u12091), _u12093))) = hAPP(hAPP(c_Product__Type_OSigma(_u12091, _u12092), c_Orderings_Otop__class_Otop(tc_fun(_u12091, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u12092, tc_HOL_Obool), _u12091), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12092, tc_HOL_Obool)), _u12093)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Compl__Times__UNIV2 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Compl__Times__UNIV2-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u12094, _u12095), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12094, _u12095), _u12096), hAPP(c_COMBK(tc_fun(_u12095, tc_HOL_Obool), _u12094), c_Orderings_Otop__class_Otop(tc_fun(_u12095, tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(_u12094, _u12095), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12094, tc_HOL_Obool)), _u12096)), hAPP(c_COMBK(tc_fun(_u12095, tc_HOL_Obool), _u12094), c_Orderings_Otop__class_Otop(tc_fun(_u12095, tc_HOL_Obool))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_setprod__cartesian__product ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_setprod__cartesian__product-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12097) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12098, _u12097), hAPP(hAPP(c_COMBC(_u12098, tc_fun(_u12099, tc_HOL_Obool), _u12097), hAPP(hAPP(c_COMBB(tc_fun(_u12099, _u12097), tc_fun(tc_fun(_u12099, tc_HOL_Obool), _u12097), _u12098), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12099, _u12097)), _u12100)), _u12101)), _u12102) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u12098, _u12099), _u12097), hAPP(c_Product__Type_Oprod_Oprod__case(_u12098, _u12099, _u12097), _u12100)), hAPP(hAPP(c_Product__Type_OSigma(_u12098, _u12099), _u12102), hAPP(c_COMBK(tc_fun(_u12099, tc_HOL_Obool), _u12098), _u12101)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Sigma__Un__distrib1 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Sigma__Un__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12103, _u12104), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12103, tc_HOL_Obool)), _u12105), _u12106)), _u12107) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12103, _u12104), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12103, _u12104), _u12105), _u12107)), hAPP(hAPP(c_Product__Type_OSigma(_u12103, _u12104), _u12106), _u12107))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Times__Un__distrib1 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Times__Un__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12108, _u12109), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12108, tc_HOL_Obool)), _u12110), _u12111)), hAPP(c_COMBK(tc_fun(_u12109, tc_HOL_Obool), _u12108), _u12112)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12108, _u12109), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12108, _u12109), _u12110), hAPP(c_COMBK(tc_fun(_u12109, tc_HOL_Obool), _u12108), _u12112))), hAPP(hAPP(c_Product__Type_OSigma(_u12108, _u12109), _u12111), hAPP(c_COMBK(tc_fun(_u12109, tc_HOL_Obool), _u12108), _u12112)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Sigma__Un__distrib2 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Sigma__Un__distrib2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12113, _u12114), _u12115), hAPP(hAPP(c_COMBS(_u12113, tc_fun(_u12114, tc_HOL_Obool), tc_fun(_u12114, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12114, tc_HOL_Obool), tc_fun(tc_fun(_u12114, tc_HOL_Obool), tc_fun(_u12114, tc_HOL_Obool)), _u12113), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12114, tc_HOL_Obool))), _u12116)), _u12117)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12113, _u12114), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12113, _u12114), _u12115), _u12116)), hAPP(hAPP(c_Product__Type_OSigma(_u12113, _u12114), _u12115), _u12117))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_swap__product ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_swap__product-1, axiom, ( ( hAPP(c_Set_Oimage(tc_prod(_u12118, _u12119), tc_prod(_u12119, _u12118), hAPP(c_Product__Type_Oprod_Oprod__case(_u12118, _u12119, tc_prod(_u12119, _u12118)), hAPP(c_COMBC(_u12119, _u12118, tc_prod(_u12119, _u12118)), c_Product__Type_OPair(_u12119, _u12118)))), hAPP(hAPP(c_Product__Type_OSigma(_u12118, _u12119), _u12120), hAPP(c_COMBK(tc_fun(_u12119, tc_HOL_Obool), _u12118), _u12121))) = hAPP(hAPP(c_Product__Type_OSigma(_u12119, _u12118), _u12121), hAPP(c_COMBK(tc_fun(_u12118, tc_HOL_Obool), _u12119), _u12120))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_finite__cartesian__product ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_finite__cartesian__product-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12122), _u12123)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12124), _u12125)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12122, _u12124)), hAPP(hAPP(c_Product__Type_OSigma(_u12122, _u12124), _u12123), hAPP(c_COMBK(tc_fun(_u12124, tc_HOL_Obool), _u12122), _u12125)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_equiv__type ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_equiv__type-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12126, _u12127, _u12128) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12126, _u12126), tc_HOL_Obool)), _u12128), hAPP(hAPP(c_Product__Type_OSigma(_u12126, _u12126), _u12127), hAPP(c_COMBK(tc_fun(_u12126, tc_HOL_Obool), _u12126), _u12127)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Sigma__Int__distrib2 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Sigma__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12129, _u12130), _u12131), hAPP(hAPP(c_COMBS(_u12129, tc_fun(_u12130, tc_HOL_Obool), tc_fun(_u12130, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12130, tc_HOL_Obool), tc_fun(tc_fun(_u12130, tc_HOL_Obool), tc_fun(_u12130, tc_HOL_Obool)), _u12129), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12130, tc_HOL_Obool))), _u12132)), _u12133)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12129, _u12130), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12129, _u12130), _u12131), _u12132)), hAPP(hAPP(c_Product__Type_OSigma(_u12129, _u12130), _u12131), _u12133))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Times__Int__distrib1 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Times__Int__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12134, _u12135), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12134, tc_HOL_Obool)), _u12136), _u12137)), hAPP(c_COMBK(tc_fun(_u12135, tc_HOL_Obool), _u12134), _u12138)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12134, _u12135), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12134, _u12135), _u12136), hAPP(c_COMBK(tc_fun(_u12135, tc_HOL_Obool), _u12134), _u12138))), hAPP(hAPP(c_Product__Type_OSigma(_u12134, _u12135), _u12137), hAPP(c_COMBK(tc_fun(_u12135, tc_HOL_Obool), _u12134), _u12138)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Sigma__Int__distrib1 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Sigma__Int__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12139, _u12140), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12139, tc_HOL_Obool)), _u12141), _u12142)), _u12143) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12139, _u12140), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12139, _u12140), _u12141), _u12143)), hAPP(hAPP(c_Product__Type_OSigma(_u12139, _u12140), _u12142), _u12143))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Id__on__subset__Times ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Id__on__subset__Times-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12144, _u12144), tc_HOL_Obool)), c_Relation_OId__on(_u12144, _u12145)), hAPP(hAPP(c_Product__Type_OSigma(_u12144, _u12144), _u12145), hAPP(c_COMBK(tc_fun(_u12144, tc_HOL_Obool), _u12144), _u12145)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_UNIV__Times__UNIV ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_UNIV__Times__UNIV-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12146, _u12147), c_Orderings_Otop__class_Otop(tc_fun(_u12146, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u12147, tc_HOL_Obool), _u12146), c_Orderings_Otop__class_Otop(tc_fun(_u12147, tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u12146, _u12147), tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_mem__Sigma__iff ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_mem__Sigma__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12154, _u12156)), hAPP(hAPP(c_Product__Type_OPair(_u12154, _u12156), _u12158), _u12160)), hAPP(hAPP(c_Product__Type_OSigma(_u12154, _u12156), _u12162), _u12164))) | hBOOL(hAPP(hAPP(c_member(_u12154), _u12158), _u12162)) )).
% 19.51/19.72 cnf(fact_mem__Sigma__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12154, _u12156)), hAPP(hAPP(c_Product__Type_OPair(_u12154, _u12156), _u12158), _u12160)), hAPP(hAPP(c_Product__Type_OSigma(_u12154, _u12156), _u12162), _u12164))) | hBOOL(hAPP(hAPP(c_member(_u12156), _u12160), hAPP(_u12164, _u12158))) )).
% 19.51/19.72 cnf(fact_mem__Sigma__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12155), _u12159), _u12163)) | ~hBOOL(hAPP(hAPP(c_member(_u12157), _u12161), hAPP(_u12165, _u12159))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12155, _u12157)), hAPP(hAPP(c_Product__Type_OPair(_u12155, _u12157), _u12159), _u12161)), hAPP(hAPP(c_Product__Type_OSigma(_u12155, _u12157), _u12163), _u12165))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_SigmaD1 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_SigmaD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12166, _u12167)), hAPP(hAPP(c_Product__Type_OPair(_u12166, _u12167), _u12168), _u12169)), hAPP(hAPP(c_Product__Type_OSigma(_u12166, _u12167), _u12170), _u12171))) | hBOOL(hAPP(hAPP(c_member(_u12166), _u12168), _u12170)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_SigmaD2 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_SigmaD2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12173), _u12175), hAPP(_u12177, _u12174))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12172, _u12173)), hAPP(hAPP(c_Product__Type_OPair(_u12172, _u12173), _u12174), _u12175)), hAPP(hAPP(c_Product__Type_OSigma(_u12172, _u12173), _u12176), _u12177))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_SigmaE2 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_SigmaE2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12178, _u12179)), hAPP(hAPP(c_Product__Type_OPair(_u12178, _u12179), _u12180), _u12181)), hAPP(hAPP(c_Product__Type_OSigma(_u12178, _u12179), _u12182), _u12183))) | hBOOL(hAPP(hAPP(c_member(_u12178), _u12180), _u12182)) )).
% 19.51/19.72 cnf(fact_SigmaE2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12178, _u12179)), hAPP(hAPP(c_Product__Type_OPair(_u12178, _u12179), _u12180), _u12181)), hAPP(hAPP(c_Product__Type_OSigma(_u12178, _u12179), _u12182), _u12183))) | hBOOL(hAPP(hAPP(c_member(_u12179), _u12181), hAPP(_u12183, _u12180))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_card__cartesian__product__singleton ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_card__cartesian__product__singleton-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12184, _u12185)), hAPP(hAPP(c_Product__Type_OSigma(_u12184, _u12185), hAPP(hAPP(c_Set_Oinsert(_u12184), _u12186), c_Orderings_Obot__class_Obot(tc_fun(_u12184, tc_HOL_Obool)))), hAPP(c_COMBK(tc_fun(_u12185, tc_HOL_Obool), _u12184), _u12187))) = hAPP(c_Finite__Set_Ocard(_u12185), _u12187)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Times__subset__cancel2 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Times__subset__cancel2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12188), _u12189), _u12190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12191, _u12188), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12191, _u12188), _u12192), hAPP(c_COMBK(tc_fun(_u12188, tc_HOL_Obool), _u12191), _u12190))), hAPP(hAPP(c_Product__Type_OSigma(_u12191, _u12188), _u12193), hAPP(c_COMBK(tc_fun(_u12188, tc_HOL_Obool), _u12191), _u12190)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12191, tc_HOL_Obool)), _u12192), _u12193)) )).
% 19.51/19.72 cnf(fact_Times__subset__cancel2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12188), _u12189), _u12190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12191, tc_HOL_Obool)), _u12192), _u12193)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12191, _u12188), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12191, _u12188), _u12192), hAPP(c_COMBK(tc_fun(_u12188, tc_HOL_Obool), _u12191), _u12190))), hAPP(hAPP(c_Product__Type_OSigma(_u12191, _u12188), _u12193), hAPP(c_COMBK(tc_fun(_u12188, tc_HOL_Obool), _u12191), _u12190)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Image__subset ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Image__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12194, _u12195), tc_HOL_Obool)), _u12196), hAPP(hAPP(c_Product__Type_OSigma(_u12194, _u12195), _u12197), hAPP(c_COMBK(tc_fun(_u12195, tc_HOL_Obool), _u12194), _u12198)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12195, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12194, _u12195, _u12196), _u12199)), _u12198)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_finite__cartesian__productD2 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_finite__cartesian__productD2-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12200, _u12201)), hAPP(hAPP(c_Product__Type_OSigma(_u12200, _u12201), _u12202), hAPP(c_COMBK(tc_fun(_u12201, tc_HOL_Obool), _u12200), _u12203)))) | ( _u12202 = c_Orderings_Obot__class_Obot(tc_fun(_u12200, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12201), _u12203)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_finite__cartesian__productD1 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_finite__cartesian__productD1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12204, _u12205)), hAPP(hAPP(c_Product__Type_OSigma(_u12204, _u12205), _u12206), hAPP(c_COMBK(tc_fun(_u12205, tc_HOL_Obool), _u12204), _u12207)))) | ( _u12207 = c_Orderings_Obot__class_Obot(tc_fun(_u12205, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12204), _u12206)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_fst__image__times ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_fst__image__times-1, axiom, ( ( _u12212 != c_Orderings_Obot__class_Obot(tc_fun(_u12214, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12216, _u12214), _u12216, c_Product__Type_Ofst(_u12216, _u12214)), hAPP(hAPP(c_Product__Type_OSigma(_u12216, _u12214), _u12218), hAPP(c_COMBK(tc_fun(_u12214, tc_HOL_Obool), _u12216), _u12212))) = c_Orderings_Obot__class_Obot(tc_fun(_u12216, tc_HOL_Obool))) )).
% 19.51/19.72 cnf(fact_fst__image__times-2, axiom, ( ( _u12213 = c_Orderings_Obot__class_Obot(tc_fun(_u12215, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12217, _u12215), _u12217, c_Product__Type_Ofst(_u12217, _u12215)), hAPP(hAPP(c_Product__Type_OSigma(_u12217, _u12215), _u12219), hAPP(c_COMBK(tc_fun(_u12215, tc_HOL_Obool), _u12217), _u12213))) = _u12219) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_snd__image__times ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_snd__image__times-1, axiom, ( ( _u12224 != c_Orderings_Obot__class_Obot(tc_fun(_u12226, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12226, _u12228), _u12228, c_Product__Type_Osnd(_u12226, _u12228)), hAPP(hAPP(c_Product__Type_OSigma(_u12226, _u12228), _u12224), hAPP(c_COMBK(tc_fun(_u12228, tc_HOL_Obool), _u12226), _u12230))) = c_Orderings_Obot__class_Obot(tc_fun(_u12228, tc_HOL_Obool))) )).
% 19.51/19.72 cnf(fact_snd__image__times-2, axiom, ( ( _u12225 = c_Orderings_Obot__class_Obot(tc_fun(_u12227, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12227, _u12229), _u12229, c_Product__Type_Osnd(_u12227, _u12229)), hAPP(hAPP(c_Product__Type_OSigma(_u12227, _u12229), _u12225), hAPP(c_COMBK(tc_fun(_u12229, tc_HOL_Obool), _u12227), _u12231))) = _u12231) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_insert__times__insert ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_insert__times__insert-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12232, _u12233), hAPP(hAPP(c_Set_Oinsert(_u12232), _u12234), _u12235)), hAPP(c_COMBK(tc_fun(_u12233, tc_HOL_Obool), _u12232), hAPP(hAPP(c_Set_Oinsert(_u12233), _u12236), _u12237))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(_u12232, _u12233)), hAPP(hAPP(c_Product__Type_OPair(_u12232, _u12233), _u12234), _u12236)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12232, _u12233), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12232, _u12233), _u12235), hAPP(c_COMBK(tc_fun(_u12233, tc_HOL_Obool), _u12232), hAPP(hAPP(c_Set_Oinsert(_u12233), _u12236), _u12237)))), hAPP(hAPP(c_Product__Type_OSigma(_u12232, _u12233), hAPP(hAPP(c_Set_Oinsert(_u12232), _u12234), _u12235)), hAPP(c_COMBK(tc_fun(_u12233, tc_HOL_Obool), _u12232), _u12237))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_finite__equiv__class ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_finite__equiv__class-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12238), _u12239)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12238, _u12238), tc_HOL_Obool)), _u12240), hAPP(hAPP(c_Product__Type_OSigma(_u12238, _u12238), _u12239), hAPP(c_COMBK(tc_fun(_u12238, tc_HOL_Obool), _u12238), _u12239)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12238, tc_HOL_Obool)), _u12241), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12238), _u12239), _u12240))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12238), _u12241)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_UN__Times__distrib ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_UN__Times__distrib-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(_u12242, _u12243), tc_fun(tc_prod(_u12244, _u12245), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12242, _u12243), _u12246), hAPP(c_COMBK(tc_fun(_u12243, tc_HOL_Obool), _u12242), _u12247))), hAPP(c_Product__Type_Oprod_Oprod__case(_u12242, _u12243, tc_fun(tc_prod(_u12244, _u12245), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u12242, tc_fun(_u12243, tc_fun(_u12244, tc_fun(_u12245, tc_HOL_Obool))), tc_fun(_u12243, tc_fun(tc_prod(_u12244, _u12245), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12244, tc_fun(_u12245, tc_HOL_Obool)), tc_fun(tc_prod(_u12244, _u12245), tc_HOL_Obool)), tc_fun(tc_fun(_u12243, tc_fun(_u12244, tc_fun(_u12245, tc_HOL_Obool))), tc_fun(_u12243, tc_fun(tc_prod(_u12244, _u12245), tc_HOL_Obool))), _u12242), c_COMBB(tc_fun(_u12244, tc_fun(_u12245, tc_HOL_Obool)), tc_fun(tc_prod(_u12244, _u12245), tc_HOL_Obool), _u12243)), hAPP(hAPP(c_COMBB(tc_fun(_u12244, tc_HOL_Obool), tc_fun(tc_fun(_u12244, tc_fun(_u12245, tc_HOL_Obool)), tc_fun(tc_prod(_u12244, _u12245), tc_HOL_Obool)), _u12242), c_Product__Type_OSigma(_u12244, _u12245)), _u12248))), hAPP(hAPP(c_COMBB(tc_fun(_u12245, tc_HOL_Obool), tc_fun(_u12244, tc_fun(_u12245, tc_HOL_Obool)), _u12243), c_COMBK(tc_fun(_u12245, tc_HOL_Obool), _u12244)), _u12249)))) = hAPP(hAPP(c_Product__Type_OSigma(_u12244, _u12245), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12242, tc_fun(_u12244, tc_HOL_Obool)), _u12246), _u12248)), hAPP(c_COMBK(tc_fun(_u12245, tc_HOL_Obool), _u12244), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12243, tc_fun(_u12245, tc_HOL_Obool)), _u12247), _u12249)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Sigma__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Sigma__def-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12250, _u12251), _u12252), _u12253) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12250, tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool)), _u12252), hAPP(hAPP(c_COMBS(_u12250, tc_fun(_u12251, tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool)), tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12251, tc_HOL_Obool), tc_fun(tc_fun(_u12251, tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool)), tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool)), _u12250), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12251, tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool))), _u12253)), hAPP(hAPP(c_COMBC(_u12250, tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool), tc_fun(_u12251, tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12251, tc_fun(tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool), tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool), tc_fun(_u12251, tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool))), _u12250), c_COMBC(_u12251, tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool), tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12251, tc_prod(_u12250, _u12251)), tc_fun(_u12251, tc_fun(tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool), tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool))), _u12250), hAPP(c_COMBB(tc_prod(_u12250, _u12251), tc_fun(tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool), tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool)), _u12251), c_Set_Oinsert(tc_prod(_u12250, _u12251)))), c_Product__Type_OPair(_u12250, _u12251)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool)))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_finite__quotient ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_finite__quotient-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12254), _u12255)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12254, _u12254), tc_HOL_Obool)), _u12256), hAPP(hAPP(c_Product__Type_OSigma(_u12254, _u12254), _u12255), hAPP(c_COMBK(tc_fun(_u12254, tc_HOL_Obool), _u12254), _u12255)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u12254, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12254), _u12255), _u12256))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Ex__inj__on__UNION__Sigma ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Ex__inj__on__UNION__Sigma-1, axiom, ( c_Fun_Oinj__on(_u12258, tc_prod(_u12259, _u12258), skolem289(_u12261, _u12260, _u12259, _u12258), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12259, tc_fun(_u12258, tc_HOL_Obool)), _u12260), _u12261)) )).
% 19.51/19.72 cnf(fact_Ex__inj__on__UNION__Sigma-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12259, _u12258), tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12258, tc_prod(_u12259, _u12258), skolem289(_u12261, _u12260, _u12259, _u12258)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12259, tc_fun(_u12258, tc_HOL_Obool)), _u12260), _u12261))), hAPP(hAPP(c_Product__Type_OSigma(_u12259, _u12258), _u12260), _u12261))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_fold__image__Sigma ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_fold__image__Sigma-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12263) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12264), _u12265)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12263, _u12264, c_Groups_Otimes__class_Otimes(_u12263)), hAPP(hAPP(c_COMBS(_u12264, tc_fun(_u12266, tc_HOL_Obool), _u12263), hAPP(hAPP(c_COMBC(_u12264, _u12263, tc_fun(tc_fun(_u12266, tc_HOL_Obool), _u12263)), hAPP(hAPP(c_COMBB(tc_fun(_u12266, _u12263), tc_fun(_u12263, tc_fun(tc_fun(_u12266, tc_HOL_Obool), _u12263)), _u12264), c_Finite__Set_Ofold__image(_u12263, _u12266, c_Groups_Otimes__class_Otimes(_u12263))), _u12268)), c_Groups_Oone__class_Oone(_u12263))), _u12267)), c_Groups_Oone__class_Oone(_u12263)), _u12265) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12263, tc_prod(_u12264, _u12266), c_Groups_Otimes__class_Otimes(_u12263)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12264, _u12266, _u12263), _u12268)), c_Groups_Oone__class_Oone(_u12263)), hAPP(hAPP(c_Product__Type_OSigma(_u12264, _u12266), _u12265), _u12267))) | hBOOL(hAPP(hAPP(c_member(_u12264), skolem290(_u12268, _u12267, _u12266, _u12265, _u12264, _u12263)), _u12265)) )).
% 19.51/19.72 cnf(fact_fold__image__Sigma-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12263) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12264), _u12265)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12263, _u12264, c_Groups_Otimes__class_Otimes(_u12263)), hAPP(hAPP(c_COMBS(_u12264, tc_fun(_u12266, tc_HOL_Obool), _u12263), hAPP(hAPP(c_COMBC(_u12264, _u12263, tc_fun(tc_fun(_u12266, tc_HOL_Obool), _u12263)), hAPP(hAPP(c_COMBB(tc_fun(_u12266, _u12263), tc_fun(_u12263, tc_fun(tc_fun(_u12266, tc_HOL_Obool), _u12263)), _u12264), c_Finite__Set_Ofold__image(_u12263, _u12266, c_Groups_Otimes__class_Otimes(_u12263))), _u12268)), c_Groups_Oone__class_Oone(_u12263))), _u12267)), c_Groups_Oone__class_Oone(_u12263)), _u12265) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12263, tc_prod(_u12264, _u12266), c_Groups_Otimes__class_Otimes(_u12263)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12264, _u12266, _u12263), _u12268)), c_Groups_Oone__class_Oone(_u12263)), hAPP(hAPP(c_Product__Type_OSigma(_u12264, _u12266), _u12265), _u12267))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12266), hAPP(_u12267, skolem290(_u12268, _u12267, _u12266, _u12265, _u12264, _u12263)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_finite__SigmaI ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_finite__SigmaI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12270), _u12271)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12270, _u12272)), hAPP(hAPP(c_Product__Type_OSigma(_u12270, _u12272), _u12271), _u12273))) | hBOOL(hAPP(hAPP(c_member(_u12270), skolem291(_u12273, _u12272, _u12271, _u12270)), _u12271)) )).
% 19.51/19.72 cnf(fact_finite__SigmaI-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12270), _u12271)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12270, _u12272)), hAPP(hAPP(c_Product__Type_OSigma(_u12270, _u12272), _u12271), _u12273))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12272), hAPP(_u12273, skolem291(_u12273, _u12272, _u12271, _u12270)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_setprod__Sigma ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_setprod__Sigma-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12275) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12276), _u12277)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12276, _u12275), hAPP(hAPP(c_COMBS(_u12276, tc_fun(_u12278, tc_HOL_Obool), _u12275), hAPP(hAPP(c_COMBB(tc_fun(_u12278, _u12275), tc_fun(tc_fun(_u12278, tc_HOL_Obool), _u12275), _u12276), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12278, _u12275)), _u12280)), _u12279)), _u12277) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u12276, _u12278), _u12275), hAPP(c_Product__Type_Oprod_Oprod__case(_u12276, _u12278, _u12275), _u12280)), hAPP(hAPP(c_Product__Type_OSigma(_u12276, _u12278), _u12277), _u12279))) | hBOOL(hAPP(hAPP(c_member(_u12276), skolem292(_u12280, _u12279, _u12278, _u12277, _u12276, _u12275)), _u12277)) )).
% 19.51/19.72 cnf(fact_setprod__Sigma-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12275) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12276), _u12277)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12276, _u12275), hAPP(hAPP(c_COMBS(_u12276, tc_fun(_u12278, tc_HOL_Obool), _u12275), hAPP(hAPP(c_COMBB(tc_fun(_u12278, _u12275), tc_fun(tc_fun(_u12278, tc_HOL_Obool), _u12275), _u12276), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12278, _u12275)), _u12280)), _u12279)), _u12277) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u12276, _u12278), _u12275), hAPP(c_Product__Type_Oprod_Oprod__case(_u12276, _u12278, _u12275), _u12280)), hAPP(hAPP(c_Product__Type_OSigma(_u12276, _u12278), _u12277), _u12279))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12278), hAPP(_u12279, skolem292(_u12280, _u12279, _u12278, _u12277, _u12276, _u12275)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_setsum__Sigma ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_setsum__Sigma-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12282) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12283), _u12284)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12283, _u12282), hAPP(hAPP(c_COMBS(_u12283, tc_fun(_u12285, tc_HOL_Obool), _u12282), hAPP(hAPP(c_COMBB(tc_fun(_u12285, _u12282), tc_fun(tc_fun(_u12285, tc_HOL_Obool), _u12282), _u12283), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12285, _u12282)), _u12287)), _u12286)), _u12284) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u12283, _u12285), _u12282), hAPP(c_Product__Type_Oprod_Oprod__case(_u12283, _u12285, _u12282), _u12287)), hAPP(hAPP(c_Product__Type_OSigma(_u12283, _u12285), _u12284), _u12286))) | hBOOL(hAPP(hAPP(c_member(_u12283), skolem293(_u12287, _u12286, _u12285, _u12284, _u12283, _u12282)), _u12284)) )).
% 19.51/19.72 cnf(fact_setsum__Sigma-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12282) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12283), _u12284)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12283, _u12282), hAPP(hAPP(c_COMBS(_u12283, tc_fun(_u12285, tc_HOL_Obool), _u12282), hAPP(hAPP(c_COMBB(tc_fun(_u12285, _u12282), tc_fun(tc_fun(_u12285, tc_HOL_Obool), _u12282), _u12283), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12285, _u12282)), _u12287)), _u12286)), _u12284) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u12283, _u12285), _u12282), hAPP(c_Product__Type_Oprod_Oprod__case(_u12283, _u12285, _u12282), _u12287)), hAPP(hAPP(c_Product__Type_OSigma(_u12283, _u12285), _u12284), _u12286))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12285), hAPP(_u12286, skolem293(_u12287, _u12286, _u12285, _u12284, _u12283, _u12282)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_card__SigmaI ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_card__SigmaI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12289), _u12290)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12289, _u12291)), hAPP(hAPP(c_Product__Type_OSigma(_u12289, _u12291), _u12290), _u12292)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12289, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u12291, tc_HOL_Obool), tc_Nat_Onat, _u12289), c_Finite__Set_Ocard(_u12291)), _u12292)), _u12290)) | hBOOL(hAPP(hAPP(c_member(_u12289), skolem294(_u12292, _u12291, _u12290, _u12289)), _u12290)) )).
% 19.51/19.72 cnf(fact_card__SigmaI-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12289), _u12290)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12289, _u12291)), hAPP(hAPP(c_Product__Type_OSigma(_u12289, _u12291), _u12290), _u12292)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12289, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u12291, tc_HOL_Obool), tc_Nat_Onat, _u12289), c_Finite__Set_Ocard(_u12291)), _u12292)), _u12290)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12291), hAPP(_u12292, skolem294(_u12292, _u12291, _u12290, _u12289)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_SigmaE ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_SigmaE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12295, _u12296)), _u12297), hAPP(hAPP(c_Product__Type_OSigma(_u12295, _u12296), _u12298), _u12299))) | hBOOL(hAPP(hAPP(c_member(_u12295), skolem295(_u12299, _u12298, _u12297, _u12296, _u12295)), _u12298)) )).
% 19.51/19.72 cnf(fact_SigmaE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12295, _u12296)), _u12297), hAPP(hAPP(c_Product__Type_OSigma(_u12295, _u12296), _u12298), _u12299))) | hBOOL(hAPP(hAPP(c_member(_u12296), skolem296(_u12299, _u12298, _u12297, _u12296, _u12295)), hAPP(_u12299, skolem295(_u12299, _u12298, _u12297, _u12296, _u12295)))) )).
% 19.51/19.72 cnf(fact_SigmaE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12295, _u12296)), _u12297), hAPP(hAPP(c_Product__Type_OSigma(_u12295, _u12296), _u12298), _u12299))) | ( _u12297 = hAPP(hAPP(c_Product__Type_OPair(_u12295, _u12296), skolem295(_u12299, _u12298, _u12297, _u12296, _u12295)), skolem296(_u12299, _u12298, _u12297, _u12296, _u12295))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_map__pair__surj ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_map__pair__surj-1, axiom, ( ( hAPP(c_Set_Oimage(_u12300, _u12301, _u12302), c_Orderings_Otop__class_Otop(tc_fun(_u12300, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u12301, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u12303, _u12304, _u12305), c_Orderings_Otop__class_Otop(tc_fun(_u12303, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u12304, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12300, _u12303), tc_prod(_u12301, _u12304), c_Product__Type_Omap__pair(_u12300, _u12301, _u12303, _u12304, _u12302, _u12305)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u12300, _u12303), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u12301, _u12304), tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_map__pair__inj__on ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_map__pair__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u12306, _u12307, _u12308, _u12309) | ~c_Fun_Oinj__on(_u12310, _u12311, _u12312, _u12313) | c_Fun_Oinj__on(tc_prod(_u12306, _u12310), tc_prod(_u12307, _u12311), c_Product__Type_Omap__pair(_u12306, _u12307, _u12310, _u12311, _u12308, _u12312), hAPP(hAPP(c_Product__Type_OSigma(_u12306, _u12310), _u12309), hAPP(c_COMBK(tc_fun(_u12310, tc_HOL_Obool), _u12306), _u12313))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_map__pair__imageI ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_map__pair__imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12314, _u12315)), hAPP(hAPP(c_Product__Type_OPair(_u12314, _u12315), _u12316), _u12317)), _u12318)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12319, _u12320)), hAPP(hAPP(c_Product__Type_OPair(_u12319, _u12320), hAPP(_u12321, _u12316)), hAPP(_u12322, _u12317))), hAPP(c_Set_Oimage(tc_prod(_u12314, _u12315), tc_prod(_u12319, _u12320), c_Product__Type_Omap__pair(_u12314, _u12319, _u12315, _u12320, _u12321, _u12322)), _u12318))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_snd__prod__fun ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_snd__prod__fun-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u12323, _u12324), hAPP(c_Product__Type_Omap__pair(_u12325, _u12323, _u12326, _u12324, _u12327, _u12328), _u12329)) = hAPP(_u12328, hAPP(c_Product__Type_Osnd(_u12325, _u12326), _u12329))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_map__pair__ident ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_map__pair__ident-1, axiom, ( ( hAPP(c_Product__Type_Omap__pair(_u12330, _u12330, _u12331, _u12331, c_COMBI(_u12330), c_COMBI(_u12331)), _u12332) = _u12332) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_fst__map__pair ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_fst__map__pair-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u12333, _u12334), hAPP(c_Product__Type_Omap__pair(_u12335, _u12333, _u12336, _u12334, _u12337, _u12338), _u12339)) = hAPP(_u12337, hAPP(c_Product__Type_Ofst(_u12335, _u12336), _u12339))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_map__pair__simp ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_map__pair__simp-1, axiom, ( ( hAPP(c_Product__Type_Omap__pair(_u12340, _u12341, _u12342, _u12343, _u12344, _u12345), hAPP(hAPP(c_Product__Type_OPair(_u12340, _u12342), _u12346), _u12347)) = hAPP(hAPP(c_Product__Type_OPair(_u12341, _u12343), hAPP(_u12344, _u12346)), hAPP(_u12345, _u12347))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_map__pair__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_map__pair__def-1, axiom, ( ( c_Product__Type_Omap__pair(_u12348, _u12349, _u12350, _u12351, _u12352, _u12353) = hAPP(c_Product__Type_Oprod_Oprod__case(_u12348, _u12350, tc_prod(_u12349, _u12351)), hAPP(hAPP(c_COMBC(_u12348, tc_fun(_u12350, _u12351), tc_fun(_u12350, tc_prod(_u12349, _u12351))), hAPP(hAPP(c_COMBB(tc_fun(_u12351, tc_prod(_u12349, _u12351)), tc_fun(tc_fun(_u12350, _u12351), tc_fun(_u12350, tc_prod(_u12349, _u12351))), _u12348), c_COMBB(_u12351, tc_prod(_u12349, _u12351), _u12350)), hAPP(hAPP(c_COMBB(_u12349, tc_fun(_u12351, tc_prod(_u12349, _u12351)), _u12348), c_Product__Type_OPair(_u12349, _u12351)), _u12352))), _u12353))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_map__pair__surj__on ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_map__pair__surj__on-1, axiom, ( ( hAPP(c_Set_Oimage(_u12354, _u12355, _u12356), _u12357) != _u12358) | ( hAPP(c_Set_Oimage(_u12359, _u12360, _u12361), _u12362) != _u12363) | ( hAPP(c_Set_Oimage(tc_prod(_u12354, _u12359), tc_prod(_u12355, _u12360), c_Product__Type_Omap__pair(_u12354, _u12355, _u12359, _u12360, _u12356, _u12361)), hAPP(hAPP(c_Product__Type_OSigma(_u12354, _u12359), _u12357), hAPP(c_COMBK(tc_fun(_u12359, tc_HOL_Obool), _u12354), _u12362))) = hAPP(hAPP(c_Product__Type_OSigma(_u12355, _u12360), _u12358), hAPP(c_COMBK(tc_fun(_u12360, tc_HOL_Obool), _u12355), _u12363))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_prod__fun__imageE ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_prod__fun__imageE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12366, _u12367)), _u12368), hAPP(c_Set_Oimage(tc_prod(_u12369, _u12370), tc_prod(_u12366, _u12367), c_Product__Type_Omap__pair(_u12369, _u12366, _u12370, _u12367, _u12371, _u12372)), _u12373))) | ( _u12368 = hAPP(hAPP(c_Product__Type_OPair(_u12366, _u12367), hAPP(_u12371, skolem297(_u12373, _u12372, _u12371, _u12370, _u12369, _u12368, _u12367, _u12366))), hAPP(_u12372, skolem298(_u12373, _u12372, _u12371, _u12370, _u12369, _u12368, _u12367, _u12366)))) )).
% 19.51/19.72 cnf(fact_prod__fun__imageE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12366, _u12367)), _u12368), hAPP(c_Set_Oimage(tc_prod(_u12369, _u12370), tc_prod(_u12366, _u12367), c_Product__Type_Omap__pair(_u12369, _u12366, _u12370, _u12367, _u12371, _u12372)), _u12373))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12369, _u12370)), hAPP(hAPP(c_Product__Type_OPair(_u12369, _u12370), skolem297(_u12373, _u12372, _u12371, _u12370, _u12369, _u12368, _u12367, _u12366)), skolem298(_u12373, _u12372, _u12371, _u12370, _u12369, _u12368, _u12367, _u12366))), _u12373)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_refl__on__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_refl__on__def-1, axiom, ( ~c_Relation_Orefl__on(_u12379, _u12381, _u12383) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12379, _u12379), tc_HOL_Obool)), _u12383), hAPP(hAPP(c_Product__Type_OSigma(_u12379, _u12379), _u12381), hAPP(c_COMBK(tc_fun(_u12379, tc_HOL_Obool), _u12379), _u12381)))) )).
% 19.51/19.72 cnf(fact_refl__on__def-2, axiom, ( ~c_Relation_Orefl__on(_u12379, _u12381, _u12383) | ~hBOOL(hAPP(hAPP(c_member(_u12379), _u12374), _u12381)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12379, _u12379)), hAPP(hAPP(c_Product__Type_OPair(_u12379, _u12379), _u12374), _u12374)), _u12383)) )).
% 19.51/19.72 cnf(fact_refl__on__def-3, axiom, ( c_Relation_Orefl__on(_u12380, _u12382, _u12384) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12380, _u12380), tc_HOL_Obool)), _u12384), hAPP(hAPP(c_Product__Type_OSigma(_u12380, _u12380), _u12382), hAPP(c_COMBK(tc_fun(_u12380, tc_HOL_Obool), _u12380), _u12382)))) | hBOOL(hAPP(hAPP(c_member(_u12380), skolem299(_u12384, _u12382, _u12380)), _u12382)) )).
% 19.51/19.72 cnf(fact_refl__on__def-4, axiom, ( c_Relation_Orefl__on(_u12380, _u12382, _u12384) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12380, _u12380), tc_HOL_Obool)), _u12384), hAPP(hAPP(c_Product__Type_OSigma(_u12380, _u12380), _u12382), hAPP(c_COMBK(tc_fun(_u12380, tc_HOL_Obool), _u12380), _u12382)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12380, _u12380)), hAPP(hAPP(c_Product__Type_OPair(_u12380, _u12380), skolem299(_u12384, _u12382, _u12380)), skolem299(_u12384, _u12382, _u12380))), _u12384)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_card__less__Suc ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_card__less__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u12385)) | ( hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), tc_Nat_Onat), c_member(tc_Nat_Onat)), c_Nat_OSuc)), _u12385))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u12386))))) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u12385))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), hAPP(c_Nat_OSuc, _u12386)))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_CollectI ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_CollectI-1, axiom, ( ~hBOOL(hAPP(_u12387, _u12388)) | hBOOL(hAPP(hAPP(c_member(_u12389), _u12388), hAPP(c_Set_OCollect(_u12389), _u12387))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_finite__Collect__conjI ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_finite__Collect__conjI-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u12390), hAPP(c_Set_OCollect(_u12390), hAPP(hAPP(c_COMBS(_u12390, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12390), c_fconj), _u12391)), _u12392)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12390), hAPP(c_Set_OCollect(_u12390), _u12391))) )).
% 19.51/19.72 cnf(fact_finite__Collect__conjI-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u12390), hAPP(c_Set_OCollect(_u12390), hAPP(hAPP(c_COMBS(_u12390, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12390), c_fconj), _u12391)), _u12392)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12390), hAPP(c_Set_OCollect(_u12390), _u12392))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_finite__Collect__less__nat ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_finite__Collect__less__nat-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u12393)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_finite__Collect__le__nat ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_finite__Collect__le__nat-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)), _u12394)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_SetCompr__Sigma__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_SetCompr__Sigma__eq-1, axiom, ( ( hAPP(c_Set_OCollect(tc_prod(_u12395, _u12396)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12395, _u12396, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u12395, tc_fun(_u12396, tc_HOL_Obool), tc_fun(_u12396, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12396, tc_HOL_Obool), tc_fun(_u12396, tc_HOL_Obool)), _u12395), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12396)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12395), c_fconj), _u12397))), _u12398))) = hAPP(hAPP(c_Product__Type_OSigma(_u12395, _u12396), hAPP(c_Set_OCollect(_u12395), _u12397)), hAPP(hAPP(c_COMBB(tc_fun(_u12396, tc_HOL_Obool), tc_fun(_u12396, tc_HOL_Obool), _u12395), c_Set_OCollect(_u12396)), _u12398))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Collect__split ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Collect__split-1, axiom, ( ( hAPP(c_Set_OCollect(tc_prod(_u12399, _u12400)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12399, _u12400, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12399, tc_fun(_u12400, tc_HOL_Obool), tc_fun(_u12400, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12400, tc_HOL_Obool), tc_fun(_u12400, tc_HOL_Obool)), _u12399), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12400)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12399), c_fconj), _u12401))), _u12402))) = hAPP(hAPP(c_Product__Type_OSigma(_u12399, _u12400), hAPP(c_Set_OCollect(_u12399), _u12401)), hAPP(c_COMBK(tc_fun(_u12400, tc_HOL_Obool), _u12399), hAPP(c_Set_OCollect(_u12400), _u12402)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Collect__neg__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Collect__neg__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u12403), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12403), c_fNot), _u12404)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12403, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u12403), _u12404))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_vimage__Collect__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_vimage__Collect__eq-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12405, _u12406, _u12407), hAPP(c_Set_OCollect(_u12406), _u12408)) = hAPP(c_Set_OCollect(_u12405), hAPP(hAPP(c_COMBB(_u12406, tc_HOL_Obool, _u12405), _u12408), _u12407))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_UNIV__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_UNIV__def-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u12409, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u12409), hAPP(c_COMBK(tc_HOL_Obool, _u12409), c_fTrue))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Collect__disj__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Collect__disj__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u12410), hAPP(hAPP(c_COMBS(_u12410, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12410), c_fdisj), _u12411)), _u12412)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12410, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u12410), _u12411)), hAPP(c_Set_OCollect(_u12410), _u12412))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Collect__conj__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Collect__conj__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u12413), hAPP(hAPP(c_COMBS(_u12413, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12413), c_fconj), _u12414)), _u12415)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12413, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u12413), _u12414)), hAPP(c_Set_OCollect(_u12413), _u12415))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_empty__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_empty__def-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u12416, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u12416), hAPP(c_COMBK(tc_HOL_Obool, _u12416), c_fFalse))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_finite__Collect__disjI ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_finite__Collect__disjI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12420), hAPP(c_Set_OCollect(_u12420), hAPP(hAPP(c_COMBS(_u12420, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12420), c_fdisj), _u12422)), _u12424)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12420), hAPP(c_Set_OCollect(_u12420), _u12422))) )).
% 19.51/19.72 cnf(fact_finite__Collect__disjI-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12420), hAPP(c_Set_OCollect(_u12420), hAPP(hAPP(c_COMBS(_u12420, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12420), c_fdisj), _u12422)), _u12424)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12420), hAPP(c_Set_OCollect(_u12420), _u12424))) )).
% 19.51/19.72 cnf(fact_finite__Collect__disjI-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12421), hAPP(c_Set_OCollect(_u12421), _u12423))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12421), hAPP(c_Set_OCollect(_u12421), _u12425))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12421), hAPP(c_Set_OCollect(_u12421), hAPP(hAPP(c_COMBS(_u12421, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12421), c_fdisj), _u12423)), _u12425)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Collect__empty__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Collect__empty__eq-1, axiom, ( ~hBOOL(hAPP(_u12432, _u12426)) | ( hAPP(c_Set_OCollect(_u12430), _u12432) != c_Orderings_Obot__class_Obot(tc_fun(_u12430, tc_HOL_Obool))) )).
% 19.51/19.72 cnf(fact_Collect__empty__eq-2, axiom, ( hBOOL(hAPP(_u12433, skolem300(_u12433))) | ( hAPP(c_Set_OCollect(_u12431), _u12433) = c_Orderings_Obot__class_Obot(tc_fun(_u12431, tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_empty__Collect__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_empty__Collect__eq-1, axiom, ( ~hBOOL(hAPP(_u12440, _u12434)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u12438, tc_HOL_Obool)) != hAPP(c_Set_OCollect(_u12438), _u12440)) )).
% 19.51/19.72 cnf(fact_empty__Collect__eq-2, axiom, ( hBOOL(hAPP(_u12441, skolem301(_u12441))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u12439, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u12439), _u12441)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Collect__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Collect__def-1, axiom, ( ( hAPP(c_Set_OCollect(_u12442), _u12443) = _u12443) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_insert__Collect ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_insert__Collect-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u12444), _u12445), hAPP(c_Set_OCollect(_u12444), _u12446)) = hAPP(c_Set_OCollect(_u12444), hAPP(hAPP(c_COMBS(_u12444, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12444), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12444), c_fNot), hAPP(hAPP(c_COMBC(_u12444, _u12444, tc_HOL_Obool), c_fequal), _u12445)))), _u12446))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_refl__on__Id__on ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_refl__on__Id__on-1, axiom, ( c_Relation_Orefl__on(_u12447, _u12448, c_Relation_OId__on(_u12447, _u12448)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Collect__mem__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Collect__mem__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u12449), hAPP(hAPP(c_COMBC(_u12449, tc_fun(_u12449, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12449)), _u12450)) = _u12450) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_mem__Collect__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_mem__Collect__eq-1, axiom, ( hBOOL(hAPP(_u12458, _u12456)) | ~hBOOL(hAPP(hAPP(c_member(_u12454), _u12456), hAPP(c_Set_OCollect(_u12454), _u12458))) )).
% 19.51/19.72 cnf(fact_mem__Collect__eq-2, axiom, ( ~hBOOL(hAPP(_u12459, _u12457)) | hBOOL(hAPP(hAPP(c_member(_u12455), _u12457), hAPP(c_Set_OCollect(_u12455), _u12459))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_CollectD ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_CollectD-1, axiom, ( hBOOL(hAPP(_u12462, _u12461)) | ~hBOOL(hAPP(hAPP(c_member(_u12460), _u12461), hAPP(c_Set_OCollect(_u12460), _u12462))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_CollectE ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_CollectE-1, axiom, ( hBOOL(hAPP(_u12465, _u12464)) | ~hBOOL(hAPP(hAPP(c_member(_u12463), _u12464), hAPP(c_Set_OCollect(_u12463), _u12465))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_insert__compr ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_insert__compr-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u12466), _u12467), _u12468) = hAPP(c_Set_OCollect(_u12466), hAPP(hAPP(c_COMBS(_u12466, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12466), c_fdisj), hAPP(hAPP(c_COMBC(_u12466, _u12466, tc_HOL_Obool), c_fequal), _u12467))), hAPP(hAPP(c_COMBC(_u12466, tc_fun(_u12466, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12466)), _u12468)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_insert__compr__raw ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_insert__compr__raw-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u12469), _u12470), _u12471) = hAPP(c_Set_OCollect(_u12469), hAPP(hAPP(c_COMBS(_u12469, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12469), c_fdisj), hAPP(hAPP(c_COMBC(_u12469, _u12469, tc_HOL_Obool), c_fequal), _u12470))), hAPP(hAPP(c_COMBC(_u12469, tc_fun(_u12469, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12469)), _u12471)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Un__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Un__def-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12472, tc_HOL_Obool)), _u12473), _u12474) = hAPP(c_Set_OCollect(_u12472), hAPP(hAPP(c_COMBS(_u12472, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12472), c_fdisj), hAPP(hAPP(c_COMBC(_u12472, tc_fun(_u12472, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12472)), _u12473))), hAPP(hAPP(c_COMBC(_u12472, tc_fun(_u12472, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12472)), _u12474)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Int__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Int__def-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12475, tc_HOL_Obool)), _u12476), _u12477) = hAPP(c_Set_OCollect(_u12475), hAPP(hAPP(c_COMBS(_u12475, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12475), c_fconj), hAPP(hAPP(c_COMBC(_u12475, tc_fun(_u12475, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12475)), _u12476))), hAPP(hAPP(c_COMBC(_u12475, tc_fun(_u12475, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12475)), _u12477)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Int__Collect ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Int__Collect-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12482), _u12484), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12482, tc_HOL_Obool)), _u12486), hAPP(c_Set_OCollect(_u12482), _u12488)))) | hBOOL(hAPP(hAPP(c_member(_u12482), _u12484), _u12486)) )).
% 19.51/19.72 cnf(fact_Int__Collect-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12482), _u12484), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12482, tc_HOL_Obool)), _u12486), hAPP(c_Set_OCollect(_u12482), _u12488)))) | hBOOL(hAPP(_u12488, _u12484)) )).
% 19.51/19.72 cnf(fact_Int__Collect-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12483), _u12485), _u12487)) | ~hBOOL(hAPP(_u12489, _u12485)) | hBOOL(hAPP(hAPP(c_member(_u12483), _u12485), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12483, tc_HOL_Obool)), _u12487), hAPP(c_Set_OCollect(_u12483), _u12489)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Collect__conv__if ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Collect__conv__if-1, axiom, ( ~hBOOL(hAPP(_u12493, _u12495)) | ( hAPP(c_Set_OCollect(_u12497), hAPP(hAPP(c_COMBS(_u12497, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12497), c_fconj), hAPP(hAPP(c_COMBC(_u12497, _u12497, tc_HOL_Obool), c_fequal), _u12495))), _u12493)) = hAPP(hAPP(c_Set_Oinsert(_u12497), _u12495), c_Orderings_Obot__class_Obot(tc_fun(_u12497, tc_HOL_Obool)))) )).
% 19.51/19.72 cnf(fact_Collect__conv__if-2, axiom, ( hBOOL(hAPP(_u12494, _u12496)) | ( hAPP(c_Set_OCollect(_u12498), hAPP(hAPP(c_COMBS(_u12498, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12498), c_fconj), hAPP(hAPP(c_COMBC(_u12498, _u12498, tc_HOL_Obool), c_fequal), _u12496))), _u12494)) = c_Orderings_Obot__class_Obot(tc_fun(_u12498, tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Collect__conv__if2 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Collect__conv__if2-1, axiom, ( ~hBOOL(hAPP(_u12502, _u12504)) | ( hAPP(c_Set_OCollect(_u12506), hAPP(hAPP(c_COMBS(_u12506, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12506), c_fconj), hAPP(c_fequal, _u12504))), _u12502)) = hAPP(hAPP(c_Set_Oinsert(_u12506), _u12504), c_Orderings_Obot__class_Obot(tc_fun(_u12506, tc_HOL_Obool)))) )).
% 19.51/19.72 cnf(fact_Collect__conv__if2-2, axiom, ( hBOOL(hAPP(_u12503, _u12505)) | ( hAPP(c_Set_OCollect(_u12507), hAPP(hAPP(c_COMBS(_u12507, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12507), c_fconj), hAPP(c_fequal, _u12505))), _u12503)) = c_Orderings_Obot__class_Obot(tc_fun(_u12507, tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_singleton__conv ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_singleton__conv-1, axiom, ( ( hAPP(c_Set_OCollect(_u12508), hAPP(hAPP(c_COMBC(_u12508, _u12508, tc_HOL_Obool), c_fequal), _u12509)) = hAPP(hAPP(c_Set_Oinsert(_u12508), _u12509), c_Orderings_Obot__class_Obot(tc_fun(_u12508, tc_HOL_Obool)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_singleton__conv2 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_singleton__conv2-1, axiom, ( ( hAPP(c_Set_OCollect(_u12510), hAPP(c_fequal, _u12511)) = hAPP(hAPP(c_Set_Oinsert(_u12510), _u12511), c_Orderings_Obot__class_Obot(tc_fun(_u12510, tc_HOL_Obool)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_set__diff__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_set__diff__eq-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12512, tc_HOL_Obool)), _u12513), _u12514) = hAPP(c_Set_OCollect(_u12512), hAPP(hAPP(c_COMBS(_u12512, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12512), c_fconj), hAPP(hAPP(c_COMBC(_u12512, tc_fun(_u12512, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12512)), _u12513))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12512), c_fNot), hAPP(hAPP(c_COMBC(_u12512, tc_fun(_u12512, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12512)), _u12514))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_finite__Collect__not ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_finite__Collect__not-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12515), hAPP(c_Set_OCollect(_u12515), _u12516))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12515), hAPP(c_Set_OCollect(_u12515), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12515), c_fNot), _u12516)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12515), c_Orderings_Otop__class_Otop(tc_fun(_u12515, tc_HOL_Obool)))) )).
% 19.51/19.72 cnf(fact_finite__Collect__not-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12515), hAPP(c_Set_OCollect(_u12515), _u12516))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12515), c_Orderings_Otop__class_Otop(tc_fun(_u12515, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12515), hAPP(c_Set_OCollect(_u12515), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12515), c_fNot), _u12516)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_insert__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_insert__def-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u12517), _u12518), _u12519) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12517, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u12517), hAPP(hAPP(c_COMBC(_u12517, _u12517, tc_HOL_Obool), c_fequal), _u12518))), _u12519)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Compl__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Compl__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12520, tc_HOL_Obool)), _u12521) = hAPP(c_Set_OCollect(_u12520), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12520), c_fNot), hAPP(hAPP(c_COMBC(_u12520, tc_fun(_u12520, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12520)), _u12521)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_vimage__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_vimage__def-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12522, _u12523, _u12524), _u12525) = hAPP(c_Set_OCollect(_u12522), hAPP(hAPP(c_COMBC(_u12522, tc_fun(_u12523, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u12523, tc_fun(tc_fun(_u12523, tc_HOL_Obool), tc_HOL_Obool), _u12522), c_member(_u12523)), _u12524)), _u12525))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Collect__imp__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Collect__imp__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u12526), hAPP(hAPP(c_COMBS(_u12526, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12526), c_fimplies), _u12527)), _u12528)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12526, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12526, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u12526), _u12527))), hAPP(c_Set_OCollect(_u12526), _u12528))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_finite__M__bounded__by__nat ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_finite__M__bounded__by__nat-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj), _u12529)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u12530))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_refl__on__empty ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_refl__on__empty-1, axiom, ( c_Relation_Orefl__on(_u12531, c_Orderings_Obot__class_Obot(tc_fun(_u12531, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12531, _u12531), tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_refl__on__Un ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_refl__on__Un-1, axiom, ( ~c_Relation_Orefl__on(_u12532, _u12533, _u12534) | ~c_Relation_Orefl__on(_u12532, _u12535, _u12536) | c_Relation_Orefl__on(_u12532, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12532, tc_HOL_Obool)), _u12533), _u12535), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12532, _u12532), tc_HOL_Obool)), _u12534), _u12536)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_refl__on__Int ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_refl__on__Int-1, axiom, ( ~c_Relation_Orefl__on(_u12537, _u12538, _u12539) | ~c_Relation_Orefl__on(_u12537, _u12540, _u12541) | c_Relation_Orefl__on(_u12537, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12537, tc_HOL_Obool)), _u12538), _u12540), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12537, _u12537), tc_HOL_Obool)), _u12539), _u12541)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_setsum__setsum__restrict ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_setsum__setsum__restrict-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12542) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12543), _u12544)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12545), _u12546)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12543, _u12542), hAPP(hAPP(c_COMBS(_u12543, tc_fun(_u12545, tc_HOL_Obool), _u12542), hAPP(hAPP(c_COMBB(tc_fun(_u12545, _u12542), tc_fun(tc_fun(_u12545, tc_HOL_Obool), _u12542), _u12543), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12545, _u12542)), _u12547)), hAPP(hAPP(c_COMBB(tc_fun(_u12545, tc_HOL_Obool), tc_fun(_u12545, tc_HOL_Obool), _u12543), c_Set_OCollect(_u12545)), hAPP(hAPP(c_COMBB(tc_fun(_u12545, tc_HOL_Obool), tc_fun(_u12545, tc_HOL_Obool), _u12543), hAPP(c_COMBS(_u12545, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12545), c_fconj), hAPP(hAPP(c_COMBC(_u12545, tc_fun(_u12545, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12545)), _u12546)))), _u12548)))), _u12544) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12545, _u12542), hAPP(hAPP(c_COMBS(_u12545, tc_fun(_u12543, tc_HOL_Obool), _u12542), hAPP(hAPP(c_COMBB(tc_fun(_u12543, _u12542), tc_fun(tc_fun(_u12543, tc_HOL_Obool), _u12542), _u12545), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12543, _u12542)), hAPP(c_COMBC(_u12543, _u12545, _u12542), _u12547))), hAPP(hAPP(c_COMBB(tc_fun(_u12543, tc_HOL_Obool), tc_fun(_u12543, tc_HOL_Obool), _u12545), c_Set_OCollect(_u12543)), hAPP(hAPP(c_COMBB(tc_fun(_u12543, tc_HOL_Obool), tc_fun(_u12543, tc_HOL_Obool), _u12545), hAPP(c_COMBS(_u12543, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12543), c_fconj), hAPP(hAPP(c_COMBC(_u12543, tc_fun(_u12543, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12543)), _u12544)))), hAPP(c_COMBC(_u12543, _u12545, tc_HOL_Obool), _u12548))))), _u12546)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_if__image__distrib ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_if__image__distrib-1, axiom, ( ( hAPP(c_Set_Oimage(_u12549, _u12550, hAPP(hAPP(c_COMBS(_u12549, _u12550, _u12550), hAPP(hAPP(c_COMBS(_u12549, _u12550, tc_fun(_u12550, _u12550)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12550, tc_fun(_u12550, _u12550)), _u12549), c_If(_u12550)), _u12551)), _u12552)), _u12553)), _u12554) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12550, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12549, _u12550, _u12552), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12549, tc_HOL_Obool)), _u12554), hAPP(c_Set_OCollect(_u12549), _u12551)))), hAPP(c_Set_Oimage(_u12549, _u12550, _u12553), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12549, tc_HOL_Obool)), _u12554), hAPP(c_Set_OCollect(_u12549), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12549), c_fNot), _u12551)))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_nat__seg__image__imp__finite ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_nat__seg__image__imp__finite-1, axiom, ( ( _u12555 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u12556, _u12557), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u12558)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12556), _u12555)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_refl__onD ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_refl__onD-1, axiom, ( ~c_Relation_Orefl__on(_u12559, _u12560, _u12561) | ~hBOOL(hAPP(hAPP(c_member(_u12559), _u12562), _u12560)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12559, _u12559)), hAPP(hAPP(c_Product__Type_OPair(_u12559, _u12559), _u12562), _u12562)), _u12561)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_refl__onD2 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_refl__onD2-1, axiom, ( ~c_Relation_Orefl__on(_u12563, _u12564, _u12565) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12563, _u12563)), hAPP(hAPP(c_Product__Type_OPair(_u12563, _u12563), _u12566), _u12567)), _u12565)) | hBOOL(hAPP(hAPP(c_member(_u12563), _u12567), _u12564)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_refl__onD1 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_refl__onD1-1, axiom, ( ~c_Relation_Orefl__on(_u12568, _u12569, _u12570) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12568, _u12568)), hAPP(hAPP(c_Product__Type_OPair(_u12568, _u12568), _u12571), _u12572)), _u12570)) | hBOOL(hAPP(hAPP(c_member(_u12568), _u12571), _u12569)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_setsum__restrict__set_H ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_setsum__restrict__set_H-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12573) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12574), _u12575)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12574, _u12573), _u12576), hAPP(c_Set_OCollect(_u12574), hAPP(hAPP(c_COMBS(_u12574, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12574), c_fconj), hAPP(hAPP(c_COMBC(_u12574, tc_fun(_u12574, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12574)), _u12575))), hAPP(hAPP(c_COMBC(_u12574, tc_fun(_u12574, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12574)), _u12577)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12574, _u12573), hAPP(hAPP(c_COMBC(_u12574, _u12573, _u12573), hAPP(hAPP(c_COMBS(_u12574, _u12573, tc_fun(_u12573, _u12573)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12573, tc_fun(_u12573, _u12573)), _u12574), c_If(_u12573)), hAPP(hAPP(c_COMBC(_u12574, tc_fun(_u12574, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12574)), _u12577))), _u12576)), c_Groups_Ozero__class_Ozero(_u12573))), _u12575)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_setsum__image__gen ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_setsum__image__gen-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12578) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12579), _u12580)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12579, _u12578), _u12581), _u12580) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12582, _u12578), hAPP(hAPP(c_COMBB(tc_fun(_u12579, tc_HOL_Obool), _u12578, _u12582), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12579, _u12578), _u12581)), hAPP(hAPP(c_COMBB(tc_fun(_u12579, tc_HOL_Obool), tc_fun(_u12579, tc_HOL_Obool), _u12582), c_Set_OCollect(_u12579)), hAPP(hAPP(c_COMBB(tc_fun(_u12579, tc_HOL_Obool), tc_fun(_u12579, tc_HOL_Obool), _u12582), hAPP(c_COMBS(_u12579, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12579), c_fconj), hAPP(hAPP(c_COMBC(_u12579, tc_fun(_u12579, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12579)), _u12580)))), hAPP(c_COMBC(_u12579, _u12582, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u12582, tc_fun(_u12582, tc_HOL_Obool), _u12579), c_fequal), _u12583)))))), hAPP(c_Set_Oimage(_u12579, _u12582, _u12583), _u12580))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Image__singleton ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Image__singleton-1, axiom, ( ( hAPP(c_Relation_OImage(_u12584, _u12585, _u12586), hAPP(hAPP(c_Set_Oinsert(_u12584), _u12587), c_Orderings_Obot__class_Obot(tc_fun(_u12584, tc_HOL_Obool)))) = hAPP(c_Set_OCollect(_u12585), hAPP(hAPP(c_COMBC(_u12585, tc_fun(tc_prod(_u12584, _u12585), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u12584, _u12585), tc_fun(tc_fun(tc_prod(_u12584, _u12585), tc_HOL_Obool), tc_HOL_Obool), _u12585), c_member(tc_prod(_u12584, _u12585))), hAPP(c_Product__Type_OPair(_u12584, _u12585), _u12587))), _u12586))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_setsum__cases ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_setsum__cases-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12588) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12589), _u12590)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12589, _u12588), hAPP(hAPP(c_COMBS(_u12589, _u12588, _u12588), hAPP(hAPP(c_COMBS(_u12589, _u12588, tc_fun(_u12588, _u12588)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12588, tc_fun(_u12588, _u12588)), _u12589), c_If(_u12588)), _u12591)), _u12592)), _u12593)), _u12590) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12588), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12589, _u12588), _u12592), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12589, tc_HOL_Obool)), _u12590), hAPP(c_Set_OCollect(_u12589), _u12591)))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12589, _u12588), _u12593), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12589, tc_HOL_Obool)), _u12590), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12589, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u12589), _u12591)))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_card__less__Suc2 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_card__less__Suc2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u12594)) | ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), tc_Nat_Onat), c_member(tc_Nat_Onat)), c_Nat_OSuc)), _u12594))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u12595)))) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u12594))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), hAPP(c_Nat_OSuc, _u12595)))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_card__less ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_card__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u12596)) | ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u12596))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), hAPP(c_Nat_OSuc, _u12597))))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_refl__onI ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_refl__onI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12599, _u12599), tc_HOL_Obool)), _u12600), hAPP(hAPP(c_Product__Type_OSigma(_u12599, _u12599), _u12601), hAPP(c_COMBK(tc_fun(_u12599, tc_HOL_Obool), _u12599), _u12601)))) | c_Relation_Orefl__on(_u12599, _u12601, _u12600) | hBOOL(hAPP(hAPP(c_member(_u12599), skolem302(_u12601, _u12600, _u12599)), _u12601)) )).
% 19.51/19.72 cnf(fact_refl__onI-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12599, _u12599), tc_HOL_Obool)), _u12600), hAPP(hAPP(c_Product__Type_OSigma(_u12599, _u12599), _u12601), hAPP(c_COMBK(tc_fun(_u12599, tc_HOL_Obool), _u12599), _u12601)))) | c_Relation_Orefl__on(_u12599, _u12601, _u12600) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12599, _u12599)), hAPP(hAPP(c_Product__Type_OPair(_u12599, _u12599), skolem302(_u12601, _u12600, _u12599)), skolem302(_u12601, _u12600, _u12599))), _u12600)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_setsum__multicount ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_setsum__multicount-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12603), _u12604)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12605), _u12606)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12603, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u12605, tc_HOL_Obool), tc_Nat_Onat, _u12603), c_Finite__Set_Ocard(_u12605)), hAPP(hAPP(c_COMBB(tc_fun(_u12605, tc_HOL_Obool), tc_fun(_u12605, tc_HOL_Obool), _u12603), c_Set_OCollect(_u12605)), hAPP(hAPP(c_COMBB(tc_fun(_u12605, tc_HOL_Obool), tc_fun(_u12605, tc_HOL_Obool), _u12603), hAPP(c_COMBS(_u12605, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12605), c_fconj), hAPP(hAPP(c_COMBC(_u12605, tc_fun(_u12605, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12605)), _u12606)))), _u12607)))), _u12604) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u12608), hAPP(c_Finite__Set_Ocard(_u12605), _u12606))) | hBOOL(hAPP(hAPP(c_member(_u12605), skolem303(_u12608, _u12607, _u12606, _u12605, _u12604, _u12603)), _u12606)) )).
% 19.51/19.72 cnf(fact_setsum__multicount-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12603), _u12604)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12605), _u12606)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12603, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u12605, tc_HOL_Obool), tc_Nat_Onat, _u12603), c_Finite__Set_Ocard(_u12605)), hAPP(hAPP(c_COMBB(tc_fun(_u12605, tc_HOL_Obool), tc_fun(_u12605, tc_HOL_Obool), _u12603), c_Set_OCollect(_u12605)), hAPP(hAPP(c_COMBB(tc_fun(_u12605, tc_HOL_Obool), tc_fun(_u12605, tc_HOL_Obool), _u12603), hAPP(c_COMBS(_u12605, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12605), c_fconj), hAPP(hAPP(c_COMBC(_u12605, tc_fun(_u12605, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12605)), _u12606)))), _u12607)))), _u12604) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u12608), hAPP(c_Finite__Set_Ocard(_u12605), _u12606))) | ( hAPP(c_Finite__Set_Ocard(_u12603), hAPP(c_Set_OCollect(_u12603), hAPP(hAPP(c_COMBS(_u12603, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12603), c_fconj), hAPP(hAPP(c_COMBC(_u12603, tc_fun(_u12603, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12603)), _u12604))), hAPP(hAPP(c_COMBC(_u12603, _u12605, tc_HOL_Obool), _u12607), skolem303(_u12608, _u12607, _u12606, _u12605, _u12604, _u12603))))) != _u12608) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_min__max_Oinf__Sup2__distrib ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_min__max_Oinf__Sup2__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u12609) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12609), _u12610)) | ( _u12610 = c_Orderings_Obot__class_Obot(tc_fun(_u12609, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12609), _u12611)) | ( _u12611 = c_Orderings_Obot__class_Obot(tc_fun(_u12609, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12609), c_Big__Operators_Olattice_OSup__fin(_u12609, c_Orderings_Oord__class_Omax(_u12609), _u12610)), c_Big__Operators_Olattice_OSup__fin(_u12609, c_Orderings_Oord__class_Omax(_u12609), _u12611)) = c_Big__Operators_Olattice_OSup__fin(_u12609, c_Orderings_Oord__class_Omax(_u12609), hAPP(c_Set_OCollect(_u12609), hAPP(hAPP(c_COMBB(tc_fun(_u12609, tc_HOL_Obool), tc_HOL_Obool, _u12609), c_HOL_OEx(_u12609)), hAPP(hAPP(c_COMBB(tc_fun(_u12609, tc_fun(_u12609, tc_HOL_Obool)), tc_fun(_u12609, tc_HOL_Obool), _u12609), hAPP(c_COMBB(tc_fun(_u12609, tc_HOL_Obool), tc_HOL_Obool, _u12609), c_HOL_OEx(_u12609))), hAPP(hAPP(c_COMBC(_u12609, tc_fun(_u12609, tc_fun(_u12609, tc_HOL_Obool)), tc_fun(_u12609, tc_fun(_u12609, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12609, tc_fun(tc_fun(_u12609, tc_HOL_Obool), tc_fun(_u12609, tc_HOL_Obool))), tc_fun(tc_fun(_u12609, tc_fun(_u12609, tc_HOL_Obool)), tc_fun(_u12609, tc_fun(_u12609, tc_HOL_Obool))), _u12609), c_COMBS(_u12609, tc_fun(_u12609, tc_HOL_Obool), tc_fun(_u12609, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12609, tc_fun(_u12609, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u12609, tc_fun(tc_fun(_u12609, tc_HOL_Obool), tc_fun(_u12609, tc_HOL_Obool))), _u12609), hAPP(c_COMBB(tc_fun(_u12609, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12609, tc_HOL_Obool), tc_fun(_u12609, tc_HOL_Obool)), _u12609), c_COMBS(_u12609, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12609, tc_fun(_u12609, tc_HOL_Obool)), tc_fun(_u12609, tc_fun(_u12609, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u12609), hAPP(c_COMBB(tc_fun(_u12609, tc_HOL_Obool), tc_fun(_u12609, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12609), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12609), c_fconj))), hAPP(hAPP(c_COMBC(_u12609, tc_fun(_u12609, tc_fun(_u12609, _u12609)), tc_fun(_u12609, tc_fun(_u12609, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12609, _u12609), tc_fun(_u12609, tc_HOL_Obool)), tc_fun(tc_fun(_u12609, tc_fun(_u12609, _u12609)), tc_fun(_u12609, tc_fun(_u12609, tc_HOL_Obool))), _u12609), c_COMBB(tc_fun(_u12609, _u12609), tc_fun(_u12609, tc_HOL_Obool), _u12609)), hAPP(hAPP(c_COMBB(tc_fun(_u12609, tc_HOL_Obool), tc_fun(tc_fun(_u12609, _u12609), tc_fun(_u12609, tc_HOL_Obool)), _u12609), c_COMBB(_u12609, tc_HOL_Obool, _u12609)), c_fequal))), c_Orderings_Oord__class_Omin(_u12609)))))), hAPP(hAPP(c_COMBC(_u12609, tc_fun(_u12609, tc_HOL_Obool), tc_fun(_u12609, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12609, tc_HOL_Obool), tc_fun(_u12609, tc_HOL_Obool)), _u12609), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12609)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12609), c_fconj), hAPP(hAPP(c_COMBC(_u12609, tc_fun(_u12609, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12609)), _u12610)))), hAPP(hAPP(c_COMBC(_u12609, tc_fun(_u12609, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12609)), _u12611)))))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_finite__Collect__subsets ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_finite__Collect__subsets-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12612), _u12613)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u12612, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_fun(_u12612, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u12612, tc_HOL_Obool), tc_fun(_u12612, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u12612, tc_HOL_Obool))), _u12613)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Pow__Compl ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Pow__Compl-1, axiom, ( ( hAPP(c_Set_OPow(_u12614), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12614, tc_HOL_Obool)), _u12615)) = hAPP(c_Set_OCollect(tc_fun(_u12614, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12614, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u12614, tc_HOL_Obool)), c_HOL_OEx(tc_fun(_u12614, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u12614, tc_HOL_Obool), tc_fun(tc_fun(_u12614, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12614, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12614, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u12614, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12614, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u12614, tc_HOL_Obool)), c_COMBS(tc_fun(_u12614, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12614, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12614, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u12614, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u12614, tc_HOL_Obool)), c_fconj)), hAPP(hAPP(c_COMBC(tc_fun(_u12614, tc_HOL_Obool), tc_fun(tc_fun(_u12614, tc_HOL_Obool), tc_fun(_u12614, tc_HOL_Obool)), tc_fun(tc_fun(_u12614, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12614, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u12614, tc_HOL_Obool), tc_fun(_u12614, tc_HOL_Obool)), tc_fun(tc_fun(_u12614, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u12614, tc_HOL_Obool)), c_COMBB(tc_fun(_u12614, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u12614, tc_HOL_Obool))), c_fequal)), c_Groups_Ouminus__class_Ouminus(tc_fun(_u12614, tc_HOL_Obool)))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12614, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u12614, tc_HOL_Obool)), hAPP(c_member(tc_fun(_u12614, tc_HOL_Obool)), _u12615)), c_Set_OPow(_u12614)))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Pow__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Pow__def-1, axiom, ( ( hAPP(c_Set_OPow(_u12616), _u12617) = hAPP(c_Set_OCollect(tc_fun(_u12616, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u12616, tc_HOL_Obool), tc_fun(_u12616, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u12616, tc_HOL_Obool))), _u12617))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_finite__image__set ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_finite__image__set-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12618), hAPP(c_Set_OCollect(_u12618), _u12619))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12620), hAPP(c_Set_OCollect(_u12620), hAPP(hAPP(c_COMBB(tc_fun(_u12618, tc_HOL_Obool), tc_HOL_Obool, _u12620), c_HOL_OEx(_u12618)), hAPP(hAPP(c_COMBC(_u12620, tc_fun(_u12618, tc_HOL_Obool), tc_fun(_u12618, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12618, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12618, tc_HOL_Obool), tc_fun(_u12618, tc_HOL_Obool)), _u12620), c_COMBS(_u12618, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12618, tc_HOL_Obool), tc_fun(_u12618, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12620), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12618), c_fconj)), hAPP(hAPP(c_COMBC(_u12620, tc_fun(_u12618, _u12620), tc_fun(_u12618, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12620, tc_HOL_Obool), tc_fun(tc_fun(_u12618, _u12620), tc_fun(_u12618, tc_HOL_Obool)), _u12620), c_COMBB(_u12620, tc_HOL_Obool, _u12618)), c_fequal)), _u12621)))), _u12619))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_finite__Collect__bounded__ex ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_finite__Collect__bounded__ex-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12624), hAPP(c_Set_OCollect(_u12624), _u12625))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12626), hAPP(c_Set_OCollect(_u12626), hAPP(hAPP(c_COMBB(tc_fun(_u12624, tc_HOL_Obool), tc_HOL_Obool, _u12626), c_HOL_OEx(_u12624)), hAPP(hAPP(c_COMBB(tc_fun(_u12624, tc_HOL_Obool), tc_fun(_u12624, tc_HOL_Obool), _u12626), hAPP(c_COMBS(_u12624, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12624), c_fconj), _u12625))), _u12627))))) | ~hBOOL(hAPP(_u12625, _u12622)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12626), hAPP(c_Set_OCollect(_u12626), hAPP(hAPP(c_COMBC(_u12626, _u12624, tc_HOL_Obool), _u12627), _u12622)))) )).
% 19.51/19.72 cnf(fact_finite__Collect__bounded__ex-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12624), hAPP(c_Set_OCollect(_u12624), _u12625))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12626), hAPP(c_Set_OCollect(_u12626), hAPP(hAPP(c_COMBB(tc_fun(_u12624, tc_HOL_Obool), tc_HOL_Obool, _u12626), c_HOL_OEx(_u12624)), hAPP(hAPP(c_COMBB(tc_fun(_u12624, tc_HOL_Obool), tc_fun(_u12624, tc_HOL_Obool), _u12626), hAPP(c_COMBS(_u12624, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12624), c_fconj), _u12625))), _u12627))))) | hBOOL(hAPP(_u12625, skolem304(_u12627, _u12626, _u12625, _u12624))) )).
% 19.51/19.72 cnf(fact_finite__Collect__bounded__ex-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12624), hAPP(c_Set_OCollect(_u12624), _u12625))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12626), hAPP(c_Set_OCollect(_u12626), hAPP(hAPP(c_COMBB(tc_fun(_u12624, tc_HOL_Obool), tc_HOL_Obool, _u12626), c_HOL_OEx(_u12624)), hAPP(hAPP(c_COMBB(tc_fun(_u12624, tc_HOL_Obool), tc_fun(_u12624, tc_HOL_Obool), _u12626), hAPP(c_COMBS(_u12624, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12624), c_fconj), _u12625))), _u12627))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12626), hAPP(c_Set_OCollect(_u12626), hAPP(hAPP(c_COMBC(_u12626, _u12624, tc_HOL_Obool), _u12627), skolem304(_u12627, _u12626, _u12625, _u12624))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_inj__graph ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_inj__graph-1, axiom, ( c_Fun_Oinj__on(tc_fun(_u12628, _u12629), tc_fun(tc_prod(_u12628, _u12629), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u12628, _u12629), tc_HOL_Obool), tc_fun(tc_prod(_u12628, _u12629), tc_HOL_Obool), tc_fun(_u12628, _u12629)), c_Set_OCollect(tc_prod(_u12628, _u12629))), hAPP(hAPP(c_COMBB(tc_fun(_u12628, tc_fun(_u12629, tc_HOL_Obool)), tc_fun(tc_prod(_u12628, _u12629), tc_HOL_Obool), tc_fun(_u12628, _u12629)), c_Product__Type_Oprod_Oprod__case(_u12628, _u12629, tc_HOL_Obool)), hAPP(c_COMBB(_u12629, tc_fun(_u12629, tc_HOL_Obool), _u12628), hAPP(c_COMBC(_u12629, _u12629, tc_HOL_Obool), c_fequal)))), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u12628, _u12629), tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J-1, axiom, ( c_Nat__Transfer_Onat__set(hAPP(c_Set_OCollect(tc_Int_Oint), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), _u12630))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_finite__psubset__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_finite__psubset__def-1, axiom, ( ( c_Wellfounded_Ofinite__psubset(_u12631) = hAPP(c_Set_OCollect(tc_prod(tc_fun(_u12631, tc_HOL_Obool), tc_fun(_u12631, tc_HOL_Obool))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(_u12631, tc_HOL_Obool), tc_fun(_u12631, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u12631, tc_HOL_Obool), tc_fun(tc_fun(_u12631, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12631, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12631, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u12631, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12631, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u12631, tc_HOL_Obool)), c_COMBS(tc_fun(_u12631, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12631, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12631, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u12631, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u12631, tc_HOL_Obool)), c_fconj)), c_Orderings_Oord__class_Oless(tc_fun(_u12631, tc_HOL_Obool))))), c_Finite__Set_Ofinite(_u12631))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_inv__image__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_inv__image__def-1, axiom, ( ( hAPP(hAPP(c_Relation_Oinv__image(_u12632, _u12633), _u12634), _u12635) = hAPP(c_Set_OCollect(tc_prod(_u12633, _u12633)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12633, _u12633, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12633, tc_fun(tc_prod(_u12632, _u12632), tc_HOL_Obool), tc_fun(_u12633, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12633, tc_fun(tc_fun(tc_prod(_u12632, _u12632), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12632, _u12632), tc_HOL_Obool), tc_fun(_u12633, tc_HOL_Obool)), _u12633), c_COMBC(_u12633, tc_fun(tc_prod(_u12632, _u12632), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12633, tc_prod(_u12632, _u12632)), tc_fun(_u12633, tc_fun(tc_fun(tc_prod(_u12632, _u12632), tc_HOL_Obool), tc_HOL_Obool)), _u12633), hAPP(c_COMBB(tc_prod(_u12632, _u12632), tc_fun(tc_fun(tc_prod(_u12632, _u12632), tc_HOL_Obool), tc_HOL_Obool), _u12633), c_member(tc_prod(_u12632, _u12632)))), hAPP(hAPP(c_COMBC(_u12633, tc_fun(_u12633, _u12632), tc_fun(_u12633, tc_prod(_u12632, _u12632))), hAPP(hAPP(c_COMBB(tc_fun(_u12632, tc_prod(_u12632, _u12632)), tc_fun(tc_fun(_u12633, _u12632), tc_fun(_u12633, tc_prod(_u12632, _u12632))), _u12633), c_COMBB(_u12632, tc_prod(_u12632, _u12632), _u12633)), hAPP(hAPP(c_COMBB(_u12632, tc_fun(_u12632, tc_prod(_u12632, _u12632)), _u12633), c_Product__Type_OPair(_u12632, _u12632)), _u12635))), _u12635)))), _u12634)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J-1, axiom, ( ( hAPP(c_Set_OCollect(tc_Int_Oint), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), _u12636)) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_HOL_Obool, tc_Nat_Onat), _u12636), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J-1, axiom, ( ( hAPP(c_Set_OCollect(tc_Nat_Onat), _u12637) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), hAPP(c_Set_OCollect(tc_Int_Oint), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_Int_Oint), _u12637), c_Int_Onat))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_add__Min__commute ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_add__Min__commute-1, axiom, ( ~class_Groups_Olinordered__ab__semigroup__add(_u12638) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12638), _u12639)) | ( _u12639 = c_Orderings_Obot__class_Obot(tc_fun(_u12638, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12638), _u12640), c_Big__Operators_Olinorder__class_OMin(_u12638, _u12639)) = c_Big__Operators_Olinorder__class_OMin(_u12638, hAPP(c_Set_OCollect(_u12638), hAPP(hAPP(c_COMBB(tc_fun(_u12638, tc_HOL_Obool), tc_HOL_Obool, _u12638), c_HOL_OEx(_u12638)), hAPP(hAPP(c_COMBC(_u12638, tc_fun(_u12638, tc_HOL_Obool), tc_fun(_u12638, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12638, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12638, tc_HOL_Obool), tc_fun(_u12638, tc_HOL_Obool)), _u12638), c_COMBS(_u12638, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12638, tc_HOL_Obool), tc_fun(_u12638, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12638), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12638), c_fconj)), hAPP(hAPP(c_COMBC(_u12638, tc_fun(_u12638, _u12638), tc_fun(_u12638, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12638, tc_HOL_Obool), tc_fun(tc_fun(_u12638, _u12638), tc_fun(_u12638, tc_HOL_Obool)), _u12638), c_COMBB(_u12638, tc_HOL_Obool, _u12638)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u12638), _u12640))))), hAPP(hAPP(c_COMBC(_u12638, tc_fun(_u12638, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12638)), _u12639)))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_add__Max__commute ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_add__Max__commute-1, axiom, ( ~class_Groups_Olinordered__ab__semigroup__add(_u12641) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12641), _u12642)) | ( _u12642 = c_Orderings_Obot__class_Obot(tc_fun(_u12641, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12641), _u12643), c_Big__Operators_Olinorder__class_OMax(_u12641, _u12642)) = c_Big__Operators_Olinorder__class_OMax(_u12641, hAPP(c_Set_OCollect(_u12641), hAPP(hAPP(c_COMBB(tc_fun(_u12641, tc_HOL_Obool), tc_HOL_Obool, _u12641), c_HOL_OEx(_u12641)), hAPP(hAPP(c_COMBC(_u12641, tc_fun(_u12641, tc_HOL_Obool), tc_fun(_u12641, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12641, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12641, tc_HOL_Obool), tc_fun(_u12641, tc_HOL_Obool)), _u12641), c_COMBS(_u12641, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12641, tc_HOL_Obool), tc_fun(_u12641, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12641), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12641), c_fconj)), hAPP(hAPP(c_COMBC(_u12641, tc_fun(_u12641, _u12641), tc_fun(_u12641, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12641, tc_HOL_Obool), tc_fun(tc_fun(_u12641, _u12641), tc_fun(_u12641, tc_HOL_Obool)), _u12641), c_COMBB(_u12641, tc_HOL_Obool, _u12641)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u12641), _u12643))))), hAPP(hAPP(c_COMBC(_u12641, tc_fun(_u12641, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12641)), _u12642)))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_sup__Inf2__distrib ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_sup__Inf2__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u12644) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12644), _u12645)) | ( _u12645 = c_Orderings_Obot__class_Obot(tc_fun(_u12644, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12644), _u12646)) | ( _u12646 = c_Orderings_Obot__class_Obot(tc_fun(_u12644, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12644), c_Big__Operators_Olattice__class_OInf__fin(_u12644, _u12645)), c_Big__Operators_Olattice__class_OInf__fin(_u12644, _u12646)) = c_Big__Operators_Olattice__class_OInf__fin(_u12644, hAPP(c_Set_OCollect(_u12644), hAPP(hAPP(c_COMBB(tc_fun(_u12644, tc_HOL_Obool), tc_HOL_Obool, _u12644), c_HOL_OEx(_u12644)), hAPP(hAPP(c_COMBB(tc_fun(_u12644, tc_fun(_u12644, tc_HOL_Obool)), tc_fun(_u12644, tc_HOL_Obool), _u12644), hAPP(c_COMBB(tc_fun(_u12644, tc_HOL_Obool), tc_HOL_Obool, _u12644), c_HOL_OEx(_u12644))), hAPP(hAPP(c_COMBC(_u12644, tc_fun(_u12644, tc_fun(_u12644, tc_HOL_Obool)), tc_fun(_u12644, tc_fun(_u12644, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12644, tc_fun(tc_fun(_u12644, tc_HOL_Obool), tc_fun(_u12644, tc_HOL_Obool))), tc_fun(tc_fun(_u12644, tc_fun(_u12644, tc_HOL_Obool)), tc_fun(_u12644, tc_fun(_u12644, tc_HOL_Obool))), _u12644), c_COMBS(_u12644, tc_fun(_u12644, tc_HOL_Obool), tc_fun(_u12644, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12644, tc_fun(_u12644, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u12644, tc_fun(tc_fun(_u12644, tc_HOL_Obool), tc_fun(_u12644, tc_HOL_Obool))), _u12644), hAPP(c_COMBB(tc_fun(_u12644, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12644, tc_HOL_Obool), tc_fun(_u12644, tc_HOL_Obool)), _u12644), c_COMBS(_u12644, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12644, tc_fun(_u12644, tc_HOL_Obool)), tc_fun(_u12644, tc_fun(_u12644, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u12644), hAPP(c_COMBB(tc_fun(_u12644, tc_HOL_Obool), tc_fun(_u12644, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12644), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12644), c_fconj))), hAPP(hAPP(c_COMBC(_u12644, tc_fun(_u12644, tc_fun(_u12644, _u12644)), tc_fun(_u12644, tc_fun(_u12644, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12644, _u12644), tc_fun(_u12644, tc_HOL_Obool)), tc_fun(tc_fun(_u12644, tc_fun(_u12644, _u12644)), tc_fun(_u12644, tc_fun(_u12644, tc_HOL_Obool))), _u12644), c_COMBB(tc_fun(_u12644, _u12644), tc_fun(_u12644, tc_HOL_Obool), _u12644)), hAPP(hAPP(c_COMBB(tc_fun(_u12644, tc_HOL_Obool), tc_fun(tc_fun(_u12644, _u12644), tc_fun(_u12644, tc_HOL_Obool)), _u12644), c_COMBB(_u12644, tc_HOL_Obool, _u12644)), c_fequal))), c_Lattices_Osemilattice__sup__class_Osup(_u12644)))))), hAPP(hAPP(c_COMBC(_u12644, tc_fun(_u12644, tc_HOL_Obool), tc_fun(_u12644, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12644, tc_HOL_Obool), tc_fun(_u12644, tc_HOL_Obool)), _u12644), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12644)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12644), c_fconj), hAPP(hAPP(c_COMBC(_u12644, tc_fun(_u12644, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12644)), _u12645)))), hAPP(hAPP(c_COMBC(_u12644, tc_fun(_u12644, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12644)), _u12646)))))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_sup__Inf1__distrib ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_sup__Inf1__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u12647) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12647), _u12648)) | ( _u12648 = c_Orderings_Obot__class_Obot(tc_fun(_u12647, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12647), _u12649), c_Big__Operators_Olattice__class_OInf__fin(_u12647, _u12648)) = c_Big__Operators_Olattice__class_OInf__fin(_u12647, hAPP(c_Set_OCollect(_u12647), hAPP(hAPP(c_COMBB(tc_fun(_u12647, tc_HOL_Obool), tc_HOL_Obool, _u12647), c_HOL_OEx(_u12647)), hAPP(hAPP(c_COMBC(_u12647, tc_fun(_u12647, tc_HOL_Obool), tc_fun(_u12647, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12647, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12647, tc_HOL_Obool), tc_fun(_u12647, tc_HOL_Obool)), _u12647), c_COMBS(_u12647, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12647, tc_HOL_Obool), tc_fun(_u12647, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12647), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12647), c_fconj)), hAPP(hAPP(c_COMBC(_u12647, tc_fun(_u12647, _u12647), tc_fun(_u12647, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12647, tc_HOL_Obool), tc_fun(tc_fun(_u12647, _u12647), tc_fun(_u12647, tc_HOL_Obool)), _u12647), c_COMBB(_u12647, tc_HOL_Obool, _u12647)), c_fequal)), hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12647), _u12649))))), hAPP(hAPP(c_COMBC(_u12647, tc_fun(_u12647, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12647)), _u12648)))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_inf__Sup2__distrib ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_inf__Sup2__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u12650) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12650), _u12651)) | ( _u12651 = c_Orderings_Obot__class_Obot(tc_fun(_u12650, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12650), _u12652)) | ( _u12652 = c_Orderings_Obot__class_Obot(tc_fun(_u12650, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12650), c_Big__Operators_Olattice__class_OSup__fin(_u12650, _u12651)), c_Big__Operators_Olattice__class_OSup__fin(_u12650, _u12652)) = c_Big__Operators_Olattice__class_OSup__fin(_u12650, hAPP(c_Set_OCollect(_u12650), hAPP(hAPP(c_COMBB(tc_fun(_u12650, tc_HOL_Obool), tc_HOL_Obool, _u12650), c_HOL_OEx(_u12650)), hAPP(hAPP(c_COMBB(tc_fun(_u12650, tc_fun(_u12650, tc_HOL_Obool)), tc_fun(_u12650, tc_HOL_Obool), _u12650), hAPP(c_COMBB(tc_fun(_u12650, tc_HOL_Obool), tc_HOL_Obool, _u12650), c_HOL_OEx(_u12650))), hAPP(hAPP(c_COMBC(_u12650, tc_fun(_u12650, tc_fun(_u12650, tc_HOL_Obool)), tc_fun(_u12650, tc_fun(_u12650, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12650, tc_fun(tc_fun(_u12650, tc_HOL_Obool), tc_fun(_u12650, tc_HOL_Obool))), tc_fun(tc_fun(_u12650, tc_fun(_u12650, tc_HOL_Obool)), tc_fun(_u12650, tc_fun(_u12650, tc_HOL_Obool))), _u12650), c_COMBS(_u12650, tc_fun(_u12650, tc_HOL_Obool), tc_fun(_u12650, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12650, tc_fun(_u12650, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u12650, tc_fun(tc_fun(_u12650, tc_HOL_Obool), tc_fun(_u12650, tc_HOL_Obool))), _u12650), hAPP(c_COMBB(tc_fun(_u12650, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12650, tc_HOL_Obool), tc_fun(_u12650, tc_HOL_Obool)), _u12650), c_COMBS(_u12650, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12650, tc_fun(_u12650, tc_HOL_Obool)), tc_fun(_u12650, tc_fun(_u12650, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u12650), hAPP(c_COMBB(tc_fun(_u12650, tc_HOL_Obool), tc_fun(_u12650, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12650), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12650), c_fconj))), hAPP(hAPP(c_COMBC(_u12650, tc_fun(_u12650, tc_fun(_u12650, _u12650)), tc_fun(_u12650, tc_fun(_u12650, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12650, _u12650), tc_fun(_u12650, tc_HOL_Obool)), tc_fun(tc_fun(_u12650, tc_fun(_u12650, _u12650)), tc_fun(_u12650, tc_fun(_u12650, tc_HOL_Obool))), _u12650), c_COMBB(tc_fun(_u12650, _u12650), tc_fun(_u12650, tc_HOL_Obool), _u12650)), hAPP(hAPP(c_COMBB(tc_fun(_u12650, tc_HOL_Obool), tc_fun(tc_fun(_u12650, _u12650), tc_fun(_u12650, tc_HOL_Obool)), _u12650), c_COMBB(_u12650, tc_HOL_Obool, _u12650)), c_fequal))), c_Lattices_Osemilattice__inf__class_Oinf(_u12650)))))), hAPP(hAPP(c_COMBC(_u12650, tc_fun(_u12650, tc_HOL_Obool), tc_fun(_u12650, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12650, tc_HOL_Obool), tc_fun(_u12650, tc_HOL_Obool)), _u12650), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12650)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12650), c_fconj), hAPP(hAPP(c_COMBC(_u12650, tc_fun(_u12650, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12650)), _u12651)))), hAPP(hAPP(c_COMBC(_u12650, tc_fun(_u12650, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12650)), _u12652)))))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_inf__Sup1__distrib ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_inf__Sup1__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u12653) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12653), _u12654)) | ( _u12654 = c_Orderings_Obot__class_Obot(tc_fun(_u12653, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12653), _u12655), c_Big__Operators_Olattice__class_OSup__fin(_u12653, _u12654)) = c_Big__Operators_Olattice__class_OSup__fin(_u12653, hAPP(c_Set_OCollect(_u12653), hAPP(hAPP(c_COMBB(tc_fun(_u12653, tc_HOL_Obool), tc_HOL_Obool, _u12653), c_HOL_OEx(_u12653)), hAPP(hAPP(c_COMBC(_u12653, tc_fun(_u12653, tc_HOL_Obool), tc_fun(_u12653, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12653, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12653, tc_HOL_Obool), tc_fun(_u12653, tc_HOL_Obool)), _u12653), c_COMBS(_u12653, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12653, tc_HOL_Obool), tc_fun(_u12653, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12653), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12653), c_fconj)), hAPP(hAPP(c_COMBC(_u12653, tc_fun(_u12653, _u12653), tc_fun(_u12653, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12653, tc_HOL_Obool), tc_fun(tc_fun(_u12653, _u12653), tc_fun(_u12653, tc_HOL_Obool)), _u12653), c_COMBB(_u12653, tc_HOL_Obool, _u12653)), c_fequal)), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12653), _u12655))))), hAPP(hAPP(c_COMBC(_u12653, tc_fun(_u12653, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12653)), _u12654)))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_min__max_Osup__Inf2__distrib ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_min__max_Osup__Inf2__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u12656) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12656), _u12657)) | ( _u12657 = c_Orderings_Obot__class_Obot(tc_fun(_u12656, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12656), _u12658)) | ( _u12658 = c_Orderings_Obot__class_Obot(tc_fun(_u12656, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12656), c_Big__Operators_Olattice_OInf__fin(_u12656, c_Orderings_Oord__class_Omin(_u12656), _u12657)), c_Big__Operators_Olattice_OInf__fin(_u12656, c_Orderings_Oord__class_Omin(_u12656), _u12658)) = c_Big__Operators_Olattice_OInf__fin(_u12656, c_Orderings_Oord__class_Omin(_u12656), hAPP(c_Set_OCollect(_u12656), hAPP(hAPP(c_COMBB(tc_fun(_u12656, tc_HOL_Obool), tc_HOL_Obool, _u12656), c_HOL_OEx(_u12656)), hAPP(hAPP(c_COMBB(tc_fun(_u12656, tc_fun(_u12656, tc_HOL_Obool)), tc_fun(_u12656, tc_HOL_Obool), _u12656), hAPP(c_COMBB(tc_fun(_u12656, tc_HOL_Obool), tc_HOL_Obool, _u12656), c_HOL_OEx(_u12656))), hAPP(hAPP(c_COMBC(_u12656, tc_fun(_u12656, tc_fun(_u12656, tc_HOL_Obool)), tc_fun(_u12656, tc_fun(_u12656, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12656, tc_fun(tc_fun(_u12656, tc_HOL_Obool), tc_fun(_u12656, tc_HOL_Obool))), tc_fun(tc_fun(_u12656, tc_fun(_u12656, tc_HOL_Obool)), tc_fun(_u12656, tc_fun(_u12656, tc_HOL_Obool))), _u12656), c_COMBS(_u12656, tc_fun(_u12656, tc_HOL_Obool), tc_fun(_u12656, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12656, tc_fun(_u12656, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u12656, tc_fun(tc_fun(_u12656, tc_HOL_Obool), tc_fun(_u12656, tc_HOL_Obool))), _u12656), hAPP(c_COMBB(tc_fun(_u12656, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12656, tc_HOL_Obool), tc_fun(_u12656, tc_HOL_Obool)), _u12656), c_COMBS(_u12656, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12656, tc_fun(_u12656, tc_HOL_Obool)), tc_fun(_u12656, tc_fun(_u12656, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u12656), hAPP(c_COMBB(tc_fun(_u12656, tc_HOL_Obool), tc_fun(_u12656, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12656), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12656), c_fconj))), hAPP(hAPP(c_COMBC(_u12656, tc_fun(_u12656, tc_fun(_u12656, _u12656)), tc_fun(_u12656, tc_fun(_u12656, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12656, _u12656), tc_fun(_u12656, tc_HOL_Obool)), tc_fun(tc_fun(_u12656, tc_fun(_u12656, _u12656)), tc_fun(_u12656, tc_fun(_u12656, tc_HOL_Obool))), _u12656), c_COMBB(tc_fun(_u12656, _u12656), tc_fun(_u12656, tc_HOL_Obool), _u12656)), hAPP(hAPP(c_COMBB(tc_fun(_u12656, tc_HOL_Obool), tc_fun(tc_fun(_u12656, _u12656), tc_fun(_u12656, tc_HOL_Obool)), _u12656), c_COMBB(_u12656, tc_HOL_Obool, _u12656)), c_fequal))), c_Orderings_Oord__class_Omax(_u12656)))))), hAPP(hAPP(c_COMBC(_u12656, tc_fun(_u12656, tc_HOL_Obool), tc_fun(_u12656, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12656, tc_HOL_Obool), tc_fun(_u12656, tc_HOL_Obool)), _u12656), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12656)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12656), c_fconj), hAPP(hAPP(c_COMBC(_u12656, tc_fun(_u12656, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12656)), _u12657)))), hAPP(hAPP(c_COMBC(_u12656, tc_fun(_u12656, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12656)), _u12658)))))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_min__max_Osup__Inf1__distrib ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_min__max_Osup__Inf1__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u12659) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12659), _u12660)) | ( _u12660 = c_Orderings_Obot__class_Obot(tc_fun(_u12659, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12659), _u12661), c_Big__Operators_Olattice_OInf__fin(_u12659, c_Orderings_Oord__class_Omin(_u12659), _u12660)) = c_Big__Operators_Olattice_OInf__fin(_u12659, c_Orderings_Oord__class_Omin(_u12659), hAPP(c_Set_OCollect(_u12659), hAPP(hAPP(c_COMBB(tc_fun(_u12659, tc_HOL_Obool), tc_HOL_Obool, _u12659), c_HOL_OEx(_u12659)), hAPP(hAPP(c_COMBC(_u12659, tc_fun(_u12659, tc_HOL_Obool), tc_fun(_u12659, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12659, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12659, tc_HOL_Obool), tc_fun(_u12659, tc_HOL_Obool)), _u12659), c_COMBS(_u12659, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12659, tc_HOL_Obool), tc_fun(_u12659, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12659), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12659), c_fconj)), hAPP(hAPP(c_COMBC(_u12659, tc_fun(_u12659, _u12659), tc_fun(_u12659, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12659, tc_HOL_Obool), tc_fun(tc_fun(_u12659, _u12659), tc_fun(_u12659, tc_HOL_Obool)), _u12659), c_COMBB(_u12659, tc_HOL_Obool, _u12659)), c_fequal)), hAPP(c_Orderings_Oord__class_Omax(_u12659), _u12661))))), hAPP(hAPP(c_COMBC(_u12659, tc_fun(_u12659, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12659)), _u12660)))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_min__max_Oinf__Sup1__distrib ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_min__max_Oinf__Sup1__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u12662) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12662), _u12663)) | ( _u12663 = c_Orderings_Obot__class_Obot(tc_fun(_u12662, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12662), _u12664), c_Big__Operators_Olattice_OSup__fin(_u12662, c_Orderings_Oord__class_Omax(_u12662), _u12663)) = c_Big__Operators_Olattice_OSup__fin(_u12662, c_Orderings_Oord__class_Omax(_u12662), hAPP(c_Set_OCollect(_u12662), hAPP(hAPP(c_COMBB(tc_fun(_u12662, tc_HOL_Obool), tc_HOL_Obool, _u12662), c_HOL_OEx(_u12662)), hAPP(hAPP(c_COMBC(_u12662, tc_fun(_u12662, tc_HOL_Obool), tc_fun(_u12662, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12662, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12662, tc_HOL_Obool), tc_fun(_u12662, tc_HOL_Obool)), _u12662), c_COMBS(_u12662, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12662, tc_HOL_Obool), tc_fun(_u12662, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12662), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12662), c_fconj)), hAPP(hAPP(c_COMBC(_u12662, tc_fun(_u12662, _u12662), tc_fun(_u12662, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12662, tc_HOL_Obool), tc_fun(tc_fun(_u12662, _u12662), tc_fun(_u12662, tc_HOL_Obool)), _u12662), c_COMBB(_u12662, tc_HOL_Obool, _u12662)), c_fequal)), hAPP(c_Orderings_Oord__class_Omin(_u12662), _u12664))))), hAPP(hAPP(c_COMBC(_u12662, tc_fun(_u12662, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12662)), _u12663)))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Nitpick_Oprod__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Nitpick_Oprod__def-1, axiom, ( ( c_Nitpick_Oprod(_u12665, _u12666, _u12667, _u12668) = hAPP(c_Set_OCollect(tc_prod(_u12665, _u12666)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12665, _u12666, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12665, tc_fun(_u12666, tc_HOL_Obool), tc_fun(_u12666, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12666, tc_HOL_Obool), tc_fun(_u12666, tc_HOL_Obool)), _u12665), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12666)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12665), c_fconj), hAPP(hAPP(c_COMBC(_u12665, tc_fun(_u12665, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12665)), _u12667)))), hAPP(hAPP(c_COMBC(_u12666, tc_fun(_u12666, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12666)), _u12668))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_int__ge__less__than2__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_int__ge__less__than2__def-1, axiom, ( ( c_Int_Oint__ge__less__than2(_u12669) = hAPP(c_Set_OCollect(tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_Int_Oint), hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12669)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_int__ge__less__than__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_int__ge__less__than__def-1, axiom, ( ( c_Int_Oint__ge__less__than(_u12670) = hAPP(c_Set_OCollect(tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_fun(tc_Int_Oint, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_fun(tc_Int_Oint, tc_HOL_Obool)), tc_Int_Oint), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12670)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_reflp__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_reflp__def-1, axiom, ( ~c_Predicate_Oreflp(_u12673, _u12675) | c_Relation_Orefl__on(_u12673, c_Orderings_Otop__class_Otop(tc_fun(_u12673, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u12673, _u12673)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12673, _u12673, tc_HOL_Obool), _u12675))) )).
% 19.51/19.72 cnf(fact_reflp__def-2, axiom, ( ~c_Relation_Orefl__on(_u12674, c_Orderings_Otop__class_Otop(tc_fun(_u12674, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u12674, _u12674)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12674, _u12674, tc_HOL_Obool), _u12676))) | c_Predicate_Oreflp(_u12674, _u12676) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_setsum__mult__setsum__if__inj ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_setsum__mult__setsum__if__inj-1, axiom, ( ~class_Rings_Osemiring__0(_u12677) | ~c_Fun_Oinj__on(tc_prod(_u12678, _u12679), _u12677, hAPP(c_Product__Type_Oprod_Oprod__case(_u12678, _u12679, _u12677), hAPP(hAPP(c_COMBC(_u12678, tc_fun(_u12679, _u12677), tc_fun(_u12679, _u12677)), hAPP(hAPP(c_COMBB(tc_fun(_u12677, _u12677), tc_fun(tc_fun(_u12679, _u12677), tc_fun(_u12679, _u12677)), _u12678), c_COMBB(_u12677, _u12677, _u12679)), hAPP(hAPP(c_COMBB(_u12677, tc_fun(_u12677, _u12677), _u12678), c_Groups_Otimes__class_Otimes(_u12677)), _u12680))), _u12681)), hAPP(hAPP(c_Product__Type_OSigma(_u12678, _u12679), _u12682), hAPP(c_COMBK(tc_fun(_u12679, tc_HOL_Obool), _u12678), _u12683))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12677), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12678, _u12677), _u12680), _u12682)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12679, _u12677), _u12681), _u12683)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12677, _u12677), c_Fun_Oid(_u12677)), hAPP(c_Set_OCollect(_u12677), hAPP(hAPP(c_COMBB(tc_fun(_u12678, tc_HOL_Obool), tc_HOL_Obool, _u12677), c_HOL_OEx(_u12678)), hAPP(hAPP(c_COMBB(tc_fun(_u12678, tc_fun(_u12679, tc_HOL_Obool)), tc_fun(_u12678, tc_HOL_Obool), _u12677), hAPP(c_COMBB(tc_fun(_u12679, tc_HOL_Obool), tc_HOL_Obool, _u12678), c_HOL_OEx(_u12679))), hAPP(hAPP(c_COMBC(_u12677, tc_fun(_u12678, tc_fun(_u12679, tc_HOL_Obool)), tc_fun(_u12678, tc_fun(_u12679, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12678, tc_fun(tc_fun(_u12679, tc_HOL_Obool), tc_fun(_u12679, tc_HOL_Obool))), tc_fun(tc_fun(_u12678, tc_fun(_u12679, tc_HOL_Obool)), tc_fun(_u12678, tc_fun(_u12679, tc_HOL_Obool))), _u12677), c_COMBS(_u12678, tc_fun(_u12679, tc_HOL_Obool), tc_fun(_u12679, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12678, tc_fun(_u12679, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u12678, tc_fun(tc_fun(_u12679, tc_HOL_Obool), tc_fun(_u12679, tc_HOL_Obool))), _u12677), hAPP(c_COMBB(tc_fun(_u12679, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12679, tc_HOL_Obool), tc_fun(_u12679, tc_HOL_Obool)), _u12678), c_COMBS(_u12679, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12678, tc_fun(_u12679, tc_HOL_Obool)), tc_fun(_u12678, tc_fun(_u12679, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u12677), hAPP(c_COMBB(tc_fun(_u12679, tc_HOL_Obool), tc_fun(_u12679, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12678), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12679), c_fconj))), hAPP(hAPP(c_COMBC(_u12677, tc_fun(_u12678, tc_fun(_u12679, _u12677)), tc_fun(_u12678, tc_fun(_u12679, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12679, _u12677), tc_fun(_u12679, tc_HOL_Obool)), tc_fun(tc_fun(_u12678, tc_fun(_u12679, _u12677)), tc_fun(_u12678, tc_fun(_u12679, tc_HOL_Obool))), _u12677), c_COMBB(tc_fun(_u12679, _u12677), tc_fun(_u12679, tc_HOL_Obool), _u12678)), hAPP(hAPP(c_COMBB(tc_fun(_u12677, tc_HOL_Obool), tc_fun(tc_fun(_u12679, _u12677), tc_fun(_u12679, tc_HOL_Obool)), _u12677), c_COMBB(_u12677, tc_HOL_Obool, _u12679)), c_fequal))), hAPP(hAPP(c_COMBC(_u12678, tc_fun(_u12679, _u12677), tc_fun(_u12679, _u12677)), hAPP(hAPP(c_COMBB(tc_fun(_u12677, _u12677), tc_fun(tc_fun(_u12679, _u12677), tc_fun(_u12679, _u12677)), _u12678), c_COMBB(_u12677, _u12677, _u12679)), hAPP(hAPP(c_COMBB(_u12677, tc_fun(_u12677, _u12677), _u12678), c_Groups_Otimes__class_Otimes(_u12677)), _u12680))), _u12681)))))), hAPP(hAPP(c_COMBC(_u12678, tc_fun(_u12679, tc_HOL_Obool), tc_fun(_u12679, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12679, tc_HOL_Obool), tc_fun(_u12679, tc_HOL_Obool)), _u12678), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12679)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12678), c_fconj), hAPP(hAPP(c_COMBC(_u12678, tc_fun(_u12678, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12678)), _u12682)))), hAPP(hAPP(c_COMBC(_u12679, tc_fun(_u12679, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12679)), _u12683)))))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_setsum__multicount__gen ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_setsum__multicount__gen-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12685), _u12686)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12687), _u12688)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12685, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u12687, tc_HOL_Obool), tc_Nat_Onat, _u12685), c_Finite__Set_Ocard(_u12687)), hAPP(hAPP(c_COMBB(tc_fun(_u12687, tc_HOL_Obool), tc_fun(_u12687, tc_HOL_Obool), _u12685), c_Set_OCollect(_u12687)), hAPP(hAPP(c_COMBB(tc_fun(_u12687, tc_HOL_Obool), tc_fun(_u12687, tc_HOL_Obool), _u12685), hAPP(c_COMBS(_u12687, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12687), c_fconj), hAPP(hAPP(c_COMBC(_u12687, tc_fun(_u12687, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12687)), _u12688)))), _u12689)))), _u12686) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12687, tc_Nat_Onat), _u12690), _u12688)) | hBOOL(hAPP(hAPP(c_member(_u12687), skolem305(_u12690, _u12689, _u12688, _u12687, _u12686, _u12685)), _u12688)) )).
% 19.51/19.72 cnf(fact_setsum__multicount__gen-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12685), _u12686)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12687), _u12688)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12685, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u12687, tc_HOL_Obool), tc_Nat_Onat, _u12685), c_Finite__Set_Ocard(_u12687)), hAPP(hAPP(c_COMBB(tc_fun(_u12687, tc_HOL_Obool), tc_fun(_u12687, tc_HOL_Obool), _u12685), c_Set_OCollect(_u12687)), hAPP(hAPP(c_COMBB(tc_fun(_u12687, tc_HOL_Obool), tc_fun(_u12687, tc_HOL_Obool), _u12685), hAPP(c_COMBS(_u12687, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12687), c_fconj), hAPP(hAPP(c_COMBC(_u12687, tc_fun(_u12687, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12687)), _u12688)))), _u12689)))), _u12686) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12687, tc_Nat_Onat), _u12690), _u12688)) | ( hAPP(c_Finite__Set_Ocard(_u12685), hAPP(c_Set_OCollect(_u12685), hAPP(hAPP(c_COMBS(_u12685, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12685), c_fconj), hAPP(hAPP(c_COMBC(_u12685, tc_fun(_u12685, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12685)), _u12686))), hAPP(hAPP(c_COMBC(_u12685, _u12687, tc_HOL_Obool), _u12689), skolem305(_u12690, _u12689, _u12688, _u12687, _u12686, _u12685))))) != hAPP(_u12690, skolem305(_u12690, _u12689, _u12688, _u12687, _u12686, _u12685))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_inj__on__id ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_inj__on__id-1, axiom, ( c_Fun_Oinj__on(_u12691, _u12691, c_Fun_Oid(_u12691), _u12692) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_id__apply ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_id__apply-1, axiom, ( ( hAPP(c_Fun_Oid(_u12693), _u12694) = _u12694) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_id__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_id__def-1, axiom, ( ( hAPP(c_Fun_Oid(_u12695), _u12696) = _u12696) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_reflpE ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_reflpE-1, axiom, ( hBOOL(hAPP(hAPP(_u12698, _u12699), _u12699)) | ~c_Predicate_Oreflp(_u12697, _u12698) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_apsnd__id ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_apsnd__id-1, axiom, ( ( c_Product__Type_Oapsnd(_u12700, _u12700, _u12701, c_Fun_Oid(_u12700)) = c_Fun_Oid(tc_prod(_u12701, _u12700))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_apfst__id ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_apfst__id-1, axiom, ( ( c_Product__Type_Oapfst(_u12702, _u12702, _u12703, c_Fun_Oid(_u12702)) = c_Fun_Oid(tc_prod(_u12702, _u12703))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_vimage__id ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_vimage__id-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12704, _u12704, c_Fun_Oid(_u12704)), _u12705) = _u12705) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_map__pair_Oid ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_map__pair_Oid-1, axiom, ( ( c_Product__Type_Omap__pair(_u12706, _u12706, _u12707, _u12707, c_Fun_Oid(_u12706), c_Fun_Oid(_u12707)) = c_Fun_Oid(tc_prod(_u12706, _u12707))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_map__pair_Oidentity ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_map__pair_Oidentity-1, axiom, ( ( c_Product__Type_Omap__pair(_u12708, _u12708, _u12709, _u12709, c_COMBI(_u12708), c_COMBI(_u12709)) = c_Fun_Oid(tc_prod(_u12708, _u12709))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_image__id ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_image__id-1, axiom, ( ( hAPP(c_Set_Oimage(_u12710, _u12710, c_Fun_Oid(_u12710)), _u12711) = _u12711) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_of__int__eq__id ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_of__int__eq__id-1, axiom, ( ( c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_surj__id ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_surj__id-1, axiom, ( ( hAPP(c_Set_Oimage(_u12712, _u12712, c_Fun_Oid(_u12712)), c_Orderings_Otop__class_Otop(tc_fun(_u12712, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u12712, tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_apsnd__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_apsnd__def-1, axiom, ( ( c_Product__Type_Oapsnd(_u12713, _u12714, _u12715, _u12716) = c_Product__Type_Omap__pair(_u12715, _u12715, _u12713, _u12714, c_Fun_Oid(_u12715), _u12716)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_apfst__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_apfst__def-1, axiom, ( ( c_Product__Type_Oapfst(_u12717, _u12718, _u12719, _u12720) = c_Product__Type_Omap__pair(_u12717, _u12718, _u12719, _u12719, _u12720, c_Fun_Oid(_u12719))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_split__Pair ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_split__Pair-1, axiom, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u12721, _u12722, tc_prod(_u12721, _u12722)), c_Product__Type_OPair(_u12721, _u12722)) = c_Fun_Oid(tc_prod(_u12721, _u12722))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_setsum__reindex__id ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_setsum__reindex__id-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12723) | ~c_Fun_Oinj__on(_u12724, _u12723, _u12725, _u12726) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12724, _u12723), _u12725), _u12726) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12723, _u12723), c_Fun_Oid(_u12723)), hAPP(c_Set_Oimage(_u12724, _u12723, _u12725), _u12726))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_setprod__reindex__id ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_setprod__reindex__id-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12727) | ~c_Fun_Oinj__on(_u12728, _u12727, _u12729, _u12730) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12728, _u12727), _u12729), _u12730) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12727, _u12727), c_Fun_Oid(_u12727)), hAPP(c_Set_Oimage(_u12728, _u12727, _u12729), _u12730))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_finite__conv__nat__seg__image ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_finite__conv__nat__seg__image-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12737), _u12739)) | ( _u12739 = hAPP(c_Set_Oimage(tc_Nat_Onat, _u12737, skolem307(_u12739, _u12737)), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), skolem306(_u12739, _u12737))))) )).
% 19.51/19.72 cnf(fact_finite__conv__nat__seg__image-2, axiom, ( ( _u12740 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u12738, _u12733), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u12734)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12738), _u12740)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rel__comp__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rel__comp__def-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12741, _u12742, _u12743), _u12744), _u12745) = hAPP(c_Set_OCollect(tc_prod(_u12741, _u12743)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12741, _u12743, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u12743, tc_fun(_u12742, tc_HOL_Obool)), tc_fun(_u12743, tc_HOL_Obool), _u12741), hAPP(c_COMBB(tc_fun(_u12742, tc_HOL_Obool), tc_HOL_Obool, _u12743), c_HOL_OEx(_u12742))), hAPP(hAPP(c_COMBC(_u12741, tc_fun(_u12743, tc_fun(_u12742, tc_HOL_Obool)), tc_fun(_u12743, tc_fun(_u12742, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12742, tc_HOL_Obool), tc_fun(_u12742, tc_HOL_Obool)), tc_fun(tc_fun(_u12743, tc_fun(_u12742, tc_HOL_Obool)), tc_fun(_u12743, tc_fun(_u12742, tc_HOL_Obool))), _u12741), c_COMBB(tc_fun(_u12742, tc_HOL_Obool), tc_fun(_u12742, tc_HOL_Obool), _u12743)), hAPP(hAPP(c_COMBB(tc_fun(_u12742, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12742, tc_HOL_Obool), tc_fun(_u12742, tc_HOL_Obool)), _u12741), c_COMBS(_u12742, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12742, tc_HOL_Obool), tc_fun(_u12742, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12741), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12742), c_fconj)), hAPP(hAPP(c_COMBC(_u12741, tc_fun(tc_prod(_u12741, _u12742), tc_HOL_Obool), tc_fun(_u12742, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12742, tc_fun(tc_fun(tc_prod(_u12741, _u12742), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12741, _u12742), tc_HOL_Obool), tc_fun(_u12742, tc_HOL_Obool)), _u12741), c_COMBC(_u12742, tc_fun(tc_prod(_u12741, _u12742), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12742, tc_prod(_u12741, _u12742)), tc_fun(_u12742, tc_fun(tc_fun(tc_prod(_u12741, _u12742), tc_HOL_Obool), tc_HOL_Obool)), _u12741), hAPP(c_COMBB(tc_prod(_u12741, _u12742), tc_fun(tc_fun(tc_prod(_u12741, _u12742), tc_HOL_Obool), tc_HOL_Obool), _u12742), c_member(tc_prod(_u12741, _u12742)))), c_Product__Type_OPair(_u12741, _u12742)))), _u12744))))), hAPP(hAPP(c_COMBC(_u12743, tc_fun(tc_prod(_u12742, _u12743), tc_HOL_Obool), tc_fun(_u12742, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12742, tc_fun(tc_fun(tc_prod(_u12742, _u12743), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12742, _u12743), tc_HOL_Obool), tc_fun(_u12742, tc_HOL_Obool)), _u12743), c_COMBC(_u12742, tc_fun(tc_prod(_u12742, _u12743), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12742, tc_prod(_u12742, _u12743)), tc_fun(_u12742, tc_fun(tc_fun(tc_prod(_u12742, _u12743), tc_HOL_Obool), tc_HOL_Obool)), _u12743), hAPP(c_COMBB(tc_prod(_u12742, _u12743), tc_fun(tc_fun(tc_prod(_u12742, _u12743), tc_HOL_Obool), tc_HOL_Obool), _u12742), c_member(tc_prod(_u12742, _u12743)))), hAPP(c_COMBC(_u12742, _u12743, tc_prod(_u12742, _u12743)), c_Product__Type_OPair(_u12742, _u12743))))), _u12745)))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Range__Collect__split ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Range__Collect__split-1, axiom, ( ( hAPP(c_Relation_ORange(_u12746, _u12747), hAPP(c_Set_OCollect(tc_prod(_u12746, _u12747)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12746, _u12747, tc_HOL_Obool), _u12748))) = hAPP(c_Set_OCollect(_u12747), hAPP(hAPP(c_COMBB(tc_fun(_u12746, tc_HOL_Obool), tc_HOL_Obool, _u12747), c_HOL_OEx(_u12746)), hAPP(c_COMBC(_u12746, _u12747, tc_HOL_Obool), _u12748)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rel__compI ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rel__compI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12749, _u12750)), hAPP(hAPP(c_Product__Type_OPair(_u12749, _u12750), _u12751), _u12752)), _u12753)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12750, _u12754)), hAPP(hAPP(c_Product__Type_OPair(_u12750, _u12754), _u12752), _u12755)), _u12756)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12749, _u12754)), hAPP(hAPP(c_Product__Type_OPair(_u12749, _u12754), _u12751), _u12755)), hAPP(hAPP(c_Relation_Orel__comp(_u12749, _u12750, _u12754), _u12753), _u12756))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_RangeI ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_RangeI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12757, _u12758)), hAPP(hAPP(c_Product__Type_OPair(_u12757, _u12758), _u12759), _u12760)), _u12761)) | hBOOL(hAPP(hAPP(c_member(_u12758), _u12760), hAPP(c_Relation_ORange(_u12757, _u12758), _u12761))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rel__comp__UNION__distrib2 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rel__comp__UNION__distrib2-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12762, _u12763, _u12764), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12765, tc_fun(tc_prod(_u12762, _u12763), tc_HOL_Obool)), _u12766), _u12767)), _u12768) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12765, tc_fun(tc_prod(_u12762, _u12764), tc_HOL_Obool)), _u12766), hAPP(hAPP(c_COMBC(_u12765, tc_fun(tc_prod(_u12763, _u12764), tc_HOL_Obool), tc_fun(tc_prod(_u12762, _u12764), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u12762, _u12763), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u12763, _u12764), tc_HOL_Obool), tc_fun(tc_prod(_u12762, _u12764), tc_HOL_Obool)), _u12765), c_Relation_Orel__comp(_u12762, _u12763, _u12764)), _u12767)), _u12768))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rel__comp__UNION__distrib ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rel__comp__UNION__distrib-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12769, _u12770, _u12771), _u12772), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12773, tc_fun(tc_prod(_u12770, _u12771), tc_HOL_Obool)), _u12774), _u12775)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12773, tc_fun(tc_prod(_u12769, _u12771), tc_HOL_Obool)), _u12774), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u12770, _u12771), tc_HOL_Obool), tc_fun(tc_prod(_u12769, _u12771), tc_HOL_Obool), _u12773), hAPP(c_Relation_Orel__comp(_u12769, _u12770, _u12771), _u12772)), _u12775))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rel__comp__mono ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rel__comp__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12776, _u12777), tc_HOL_Obool)), _u12778), _u12779)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12777, _u12780), tc_HOL_Obool)), _u12781), _u12782)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12776, _u12780), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12776, _u12777, _u12780), _u12778), _u12781)), hAPP(hAPP(c_Relation_Orel__comp(_u12776, _u12777, _u12780), _u12779), _u12782))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rel__comp__distrib ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rel__comp__distrib-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12783, _u12784, _u12785), _u12786), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12784, _u12785), tc_HOL_Obool)), _u12787), _u12788)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12783, _u12785), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12783, _u12784, _u12785), _u12786), _u12787)), hAPP(hAPP(c_Relation_Orel__comp(_u12783, _u12784, _u12785), _u12786), _u12788))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rel__comp__distrib2 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rel__comp__distrib2-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12789, _u12790, _u12791), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12789, _u12790), tc_HOL_Obool)), _u12792), _u12793)), _u12794) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12789, _u12791), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12789, _u12790, _u12791), _u12792), _u12794)), hAPP(hAPP(c_Relation_Orel__comp(_u12789, _u12790, _u12791), _u12793), _u12794))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_O__assoc ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_O__assoc-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12795, _u12796, _u12797), hAPP(hAPP(c_Relation_Orel__comp(_u12795, _u12798, _u12796), _u12799), _u12800)), _u12801) = hAPP(hAPP(c_Relation_Orel__comp(_u12795, _u12798, _u12797), _u12799), hAPP(hAPP(c_Relation_Orel__comp(_u12798, _u12796, _u12797), _u12800), _u12801))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rel__comp__empty1 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rel__comp__empty1-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12802, _u12803, _u12804), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12802, _u12803), tc_HOL_Obool))), _u12805) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12802, _u12804), tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rel__comp__empty2 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rel__comp__empty2-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12806, _u12807, _u12808), _u12809), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12807, _u12808), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12806, _u12808), tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Range__Id__on ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Range__Id__on-1, axiom, ( ( hAPP(c_Relation_ORange(_u12810, _u12810), c_Relation_OId__on(_u12810, _u12811)) = _u12811) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_union__comp__emptyR ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_union__comp__emptyR-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12812, _u12812, _u12812), _u12813), _u12814) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12812, _u12812), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12812, _u12812, _u12812), _u12813), _u12815) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12812, _u12812), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12812, _u12812, _u12812), _u12813), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12812, _u12812), tc_HOL_Obool)), _u12814), _u12815)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12812, _u12812), tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_union__comp__emptyL ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_union__comp__emptyL-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12816, _u12816, _u12816), _u12817), _u12818) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12816, _u12816), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12816, _u12816, _u12816), _u12819), _u12818) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12816, _u12816), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12816, _u12816, _u12816), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12816, _u12816), tc_HOL_Obool)), _u12817), _u12819)), _u12818) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12816, _u12816), tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Range__Union ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Range__Union-1, axiom, ( ( hAPP(c_Relation_ORange(_u12820, _u12821), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u12820, _u12821), tc_HOL_Obool), _u12822)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u12820, _u12821), tc_HOL_Obool), tc_fun(_u12821, tc_HOL_Obool)), _u12822), c_Relation_ORange(_u12820, _u12821))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Range__empty ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Range__empty-1, axiom, ( ( hAPP(c_Relation_ORange(_u12823, _u12824), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12823, _u12824), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u12824, tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Range__empty__iff ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Range__empty__iff-1, axiom, ( ( hAPP(c_Relation_ORange(_u12828, _u12830), _u12832) != c_Orderings_Obot__class_Obot(tc_fun(_u12830, tc_HOL_Obool))) | ( _u12832 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12828, _u12830), tc_HOL_Obool))) )).
% 19.51/19.72 cnf(fact_Range__empty__iff-2, axiom, ( ( _u12833 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12829, _u12831), tc_HOL_Obool))) | ( hAPP(c_Relation_ORange(_u12829, _u12831), _u12833) = c_Orderings_Obot__class_Obot(tc_fun(_u12831, tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rel__comp__subset__Sigma ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rel__comp__subset__Sigma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12834, _u12835), tc_HOL_Obool)), _u12836), hAPP(hAPP(c_Product__Type_OSigma(_u12834, _u12835), _u12837), hAPP(c_COMBK(tc_fun(_u12835, tc_HOL_Obool), _u12834), _u12838)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12835, _u12839), tc_HOL_Obool)), _u12840), hAPP(hAPP(c_Product__Type_OSigma(_u12835, _u12839), _u12838), hAPP(c_COMBK(tc_fun(_u12839, tc_HOL_Obool), _u12835), _u12841)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12834, _u12839), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12834, _u12835, _u12839), _u12836), _u12840)), hAPP(hAPP(c_Product__Type_OSigma(_u12834, _u12839), _u12837), hAPP(c_COMBK(tc_fun(_u12839, tc_HOL_Obool), _u12834), _u12841)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Range__Un__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Range__Un__eq-1, axiom, ( ( hAPP(c_Relation_ORange(_u12842, _u12843), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12842, _u12843), tc_HOL_Obool)), _u12844), _u12845)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12843, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12842, _u12843), _u12844)), hAPP(c_Relation_ORange(_u12842, _u12843), _u12845))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_finite__Range ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_finite__Range-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12846, _u12847)), _u12848)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12847), hAPP(c_Relation_ORange(_u12846, _u12847), _u12848))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_snd__eq__Range ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_snd__eq__Range-1, axiom, ( ( hAPP(c_Set_Oimage(tc_prod(_u12849, _u12850), _u12850, c_Product__Type_Osnd(_u12849, _u12850)), _u12851) = hAPP(c_Relation_ORange(_u12849, _u12850), _u12851)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Range__iff ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Range__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12858), _u12860), hAPP(c_Relation_ORange(_u12862, _u12858), _u12864))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12862, _u12858)), hAPP(hAPP(c_Product__Type_OPair(_u12862, _u12858), skolem308(_u12864, _u12862, _u12860, _u12858)), _u12860)), _u12864)) )).
% 19.51/19.72 cnf(fact_Range__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12863, _u12859)), hAPP(hAPP(c_Product__Type_OPair(_u12863, _u12859), _u12853), _u12861)), _u12865)) | hBOOL(hAPP(hAPP(c_member(_u12859), _u12861), hAPP(c_Relation_ORange(_u12863, _u12859), _u12865))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Range__insert ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Range__insert-1, axiom, ( ( hAPP(c_Relation_ORange(_u12866, _u12867), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u12866, _u12867)), hAPP(hAPP(c_Product__Type_OPair(_u12866, _u12867), _u12868), _u12869)), _u12870)) = hAPP(hAPP(c_Set_Oinsert(_u12867), _u12869), hAPP(c_Relation_ORange(_u12866, _u12867), _u12870))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Range__Int__subset ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Range__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12871, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12872, _u12871), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12872, _u12871), tc_HOL_Obool)), _u12873), _u12874))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12871, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12872, _u12871), _u12873)), hAPP(c_Relation_ORange(_u12872, _u12871), _u12874)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Range__Diff__subset ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Range__Diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12875, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12875, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12876, _u12875), _u12877)), hAPP(c_Relation_ORange(_u12876, _u12875), _u12878))), hAPP(c_Relation_ORange(_u12876, _u12875), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12876, _u12875), tc_HOL_Obool)), _u12877), _u12878)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_max__ext__compat ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_max__ext__compat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12879, _u12879), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12879, _u12879, _u12879), _u12880), _u12881)), _u12880)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u12879, tc_HOL_Obool), tc_fun(_u12879, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u12879, tc_HOL_Obool), tc_fun(_u12879, tc_HOL_Obool), tc_fun(_u12879, tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u12879, _u12880)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u12879, tc_HOL_Obool), tc_fun(_u12879, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u12879, _u12881)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u12879, tc_HOL_Obool), tc_fun(_u12879, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12879, tc_HOL_Obool), tc_fun(_u12879, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u12879, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u12879, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u12879, tc_HOL_Obool), tc_fun(_u12879, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omax__ext(_u12879, _u12880))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_min__ext__compat ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_min__ext__compat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12882, _u12882), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12882, _u12882, _u12882), _u12883), _u12884)), _u12883)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u12882, tc_HOL_Obool), tc_fun(_u12882, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u12882, tc_HOL_Obool), tc_fun(_u12882, tc_HOL_Obool), tc_fun(_u12882, tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u12882, _u12883)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u12882, tc_HOL_Obool), tc_fun(_u12882, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u12882, _u12884)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u12882, tc_HOL_Obool), tc_fun(_u12882, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12882, tc_HOL_Obool), tc_fun(_u12882, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u12882, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u12882, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u12882, tc_HOL_Obool), tc_fun(_u12882, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omin__ext(_u12882, _u12883))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_RangeP__Range__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_RangeP__Range__eq-1, axiom, ( ~hBOOL(hAPP(c_Predicate_ORangeP(_u12889, _u12891, hAPP(hAPP(c_COMBC(_u12889, tc_fun(tc_prod(_u12889, _u12891), tc_HOL_Obool), tc_fun(_u12891, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12891, tc_fun(tc_fun(tc_prod(_u12889, _u12891), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12889, _u12891), tc_HOL_Obool), tc_fun(_u12891, tc_HOL_Obool)), _u12889), c_COMBC(_u12891, tc_fun(tc_prod(_u12889, _u12891), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12891, tc_prod(_u12889, _u12891)), tc_fun(_u12891, tc_fun(tc_fun(tc_prod(_u12889, _u12891), tc_HOL_Obool), tc_HOL_Obool)), _u12889), hAPP(c_COMBB(tc_prod(_u12889, _u12891), tc_fun(tc_fun(tc_prod(_u12889, _u12891), tc_HOL_Obool), tc_HOL_Obool), _u12891), c_member(tc_prod(_u12889, _u12891)))), c_Product__Type_OPair(_u12889, _u12891)))), _u12893)), _u12895)) | hBOOL(hAPP(hAPP(c_member(_u12891), _u12895), hAPP(c_Relation_ORange(_u12889, _u12891), _u12893))) )).
% 19.51/19.72 cnf(fact_RangeP__Range__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12892), _u12896), hAPP(c_Relation_ORange(_u12890, _u12892), _u12894))) | hBOOL(hAPP(c_Predicate_ORangeP(_u12890, _u12892, hAPP(hAPP(c_COMBC(_u12890, tc_fun(tc_prod(_u12890, _u12892), tc_HOL_Obool), tc_fun(_u12892, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12892, tc_fun(tc_fun(tc_prod(_u12890, _u12892), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12890, _u12892), tc_HOL_Obool), tc_fun(_u12892, tc_HOL_Obool)), _u12890), c_COMBC(_u12892, tc_fun(tc_prod(_u12890, _u12892), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12892, tc_prod(_u12890, _u12892)), tc_fun(_u12892, tc_fun(tc_fun(tc_prod(_u12890, _u12892), tc_HOL_Obool), tc_HOL_Obool)), _u12890), hAPP(c_COMBB(tc_prod(_u12890, _u12892), tc_fun(tc_fun(tc_prod(_u12890, _u12892), tc_HOL_Obool), tc_HOL_Obool), _u12892), c_member(tc_prod(_u12890, _u12892)))), c_Product__Type_OPair(_u12890, _u12892)))), _u12894)), _u12896)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_RangeE ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_RangeE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12898), _u12899), hAPP(c_Relation_ORange(_u12900, _u12898), _u12901))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12900, _u12898)), hAPP(hAPP(c_Product__Type_OPair(_u12900, _u12898), skolem309(_u12901, _u12900, _u12899, _u12898)), _u12899)), _u12901)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_pred__comp__rel__comp__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_pred__comp__rel__comp__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12909, _u12911, _u12913, hAPP(hAPP(c_COMBC(_u12909, tc_fun(tc_prod(_u12909, _u12911), tc_HOL_Obool), tc_fun(_u12911, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12911, tc_fun(tc_fun(tc_prod(_u12909, _u12911), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12909, _u12911), tc_HOL_Obool), tc_fun(_u12911, tc_HOL_Obool)), _u12909), c_COMBC(_u12911, tc_fun(tc_prod(_u12909, _u12911), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12911, tc_prod(_u12909, _u12911)), tc_fun(_u12911, tc_fun(tc_fun(tc_prod(_u12909, _u12911), tc_HOL_Obool), tc_HOL_Obool)), _u12909), hAPP(c_COMBB(tc_prod(_u12909, _u12911), tc_fun(tc_fun(tc_prod(_u12909, _u12911), tc_HOL_Obool), tc_HOL_Obool), _u12911), c_member(tc_prod(_u12909, _u12911)))), c_Product__Type_OPair(_u12909, _u12911)))), _u12915), hAPP(hAPP(c_COMBC(_u12911, tc_fun(tc_prod(_u12911, _u12913), tc_HOL_Obool), tc_fun(_u12913, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12913, tc_fun(tc_fun(tc_prod(_u12911, _u12913), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12911, _u12913), tc_HOL_Obool), tc_fun(_u12913, tc_HOL_Obool)), _u12911), c_COMBC(_u12913, tc_fun(tc_prod(_u12911, _u12913), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12913, tc_prod(_u12911, _u12913)), tc_fun(_u12913, tc_fun(tc_fun(tc_prod(_u12911, _u12913), tc_HOL_Obool), tc_HOL_Obool)), _u12911), hAPP(c_COMBB(tc_prod(_u12911, _u12913), tc_fun(tc_fun(tc_prod(_u12911, _u12913), tc_HOL_Obool), tc_HOL_Obool), _u12913), c_member(tc_prod(_u12911, _u12913)))), c_Product__Type_OPair(_u12911, _u12913)))), _u12917)), _u12919), _u12921)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12909, _u12913)), hAPP(hAPP(c_Product__Type_OPair(_u12909, _u12913), _u12919), _u12921)), hAPP(hAPP(c_Relation_Orel__comp(_u12909, _u12911, _u12913), _u12915), _u12917))) )).
% 19.51/19.72 cnf(fact_pred__comp__rel__comp__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12910, _u12914)), hAPP(hAPP(c_Product__Type_OPair(_u12910, _u12914), _u12920), _u12922)), hAPP(hAPP(c_Relation_Orel__comp(_u12910, _u12912, _u12914), _u12916), _u12918))) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12910, _u12912, _u12914, hAPP(hAPP(c_COMBC(_u12910, tc_fun(tc_prod(_u12910, _u12912), tc_HOL_Obool), tc_fun(_u12912, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12912, tc_fun(tc_fun(tc_prod(_u12910, _u12912), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12910, _u12912), tc_HOL_Obool), tc_fun(_u12912, tc_HOL_Obool)), _u12910), c_COMBC(_u12912, tc_fun(tc_prod(_u12910, _u12912), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12912, tc_prod(_u12910, _u12912)), tc_fun(_u12912, tc_fun(tc_fun(tc_prod(_u12910, _u12912), tc_HOL_Obool), tc_HOL_Obool)), _u12910), hAPP(c_COMBB(tc_prod(_u12910, _u12912), tc_fun(tc_fun(tc_prod(_u12910, _u12912), tc_HOL_Obool), tc_HOL_Obool), _u12912), c_member(tc_prod(_u12910, _u12912)))), c_Product__Type_OPair(_u12910, _u12912)))), _u12916), hAPP(hAPP(c_COMBC(_u12912, tc_fun(tc_prod(_u12912, _u12914), tc_HOL_Obool), tc_fun(_u12914, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12914, tc_fun(tc_fun(tc_prod(_u12912, _u12914), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12912, _u12914), tc_HOL_Obool), tc_fun(_u12914, tc_HOL_Obool)), _u12912), c_COMBC(_u12914, tc_fun(tc_prod(_u12912, _u12914), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12914, tc_prod(_u12912, _u12914)), tc_fun(_u12914, tc_fun(tc_fun(tc_prod(_u12912, _u12914), tc_HOL_Obool), tc_HOL_Obool)), _u12912), hAPP(c_COMBB(tc_prod(_u12912, _u12914), tc_fun(tc_fun(tc_prod(_u12912, _u12914), tc_HOL_Obool), tc_HOL_Obool), _u12914), c_member(tc_prod(_u12912, _u12914)))), c_Product__Type_OPair(_u12912, _u12914)))), _u12918)), _u12920), _u12922)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_pred__comp_Ointros ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_pred__comp_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u12923, _u12924), _u12925)) | ~hBOOL(hAPP(hAPP(_u12926, _u12925), _u12927)) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12928, _u12929, _u12930, _u12923, _u12926), _u12924), _u12927)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_RangeP_Ointros ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_RangeP_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u12931, _u12932), _u12933)) | hBOOL(hAPP(c_Predicate_ORangeP(_u12934, _u12935, _u12931), _u12933)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_RangeP_Oequations ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_RangeP_Oequations-1, axiom, ( hBOOL(hAPP(hAPP(_u12946, skolem310(_u12948, _u12946)), _u12948)) | ~hBOOL(hAPP(c_Predicate_ORangeP(_u12942, _u12944, _u12946), _u12948)) )).
% 19.51/19.72 cnf(fact_RangeP_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(_u12947, _u12937), _u12949)) | hBOOL(hAPP(c_Predicate_ORangeP(_u12943, _u12945, _u12947), _u12949)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_pred__comp_Oequations ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_pred__comp_Oequations-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12959, _u12961, _u12963, _u12965, _u12967), _u12969), _u12971)) | hBOOL(hAPP(hAPP(_u12965, _u12969), skolem311(_u12971, _u12969, _u12967, _u12965))) )).
% 19.51/19.72 cnf(fact_pred__comp_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12959, _u12961, _u12963, _u12965, _u12967), _u12969), _u12971)) | hBOOL(hAPP(hAPP(_u12967, skolem311(_u12971, _u12969, _u12967, _u12965)), _u12971)) )).
% 19.51/19.72 cnf(fact_pred__comp_Oequations-3, axiom, ( ~hBOOL(hAPP(hAPP(_u12966, _u12970), _u12951)) | ~hBOOL(hAPP(hAPP(_u12968, _u12951), _u12972)) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12960, _u12962, _u12964, _u12966, _u12968), _u12970), _u12972)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_reduction__pairI ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_reduction__pairI-1, axiom, ( ~c_Wellfounded_Owf(_u12973, _u12974) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12973, _u12973), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12973, _u12973, _u12973), _u12974), _u12975)), _u12974)) | c_FunDef_Oreduction__pair(_u12973, hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(_u12973, _u12973), tc_HOL_Obool), tc_fun(tc_prod(_u12973, _u12973), tc_HOL_Obool)), _u12974), _u12975)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Domain__Collect__split ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Domain__Collect__split-1, axiom, ( ( hAPP(c_Relation_ODomain(_u12976, _u12977), hAPP(c_Set_OCollect(tc_prod(_u12976, _u12977)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12976, _u12977, tc_HOL_Obool), _u12978))) = hAPP(c_Set_OCollect(_u12976), hAPP(hAPP(c_COMBB(tc_fun(_u12977, tc_HOL_Obool), tc_HOL_Obool, _u12976), c_HOL_OEx(_u12977)), _u12978))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_the__sym__eq__trivial ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_the__sym__eq__trivial-1, axiom, ( ( c_HOL_OThe(_u12979, hAPP(c_fequal, _u12980)) = _u12980) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__less__than ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__less__than-1, axiom, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__empty ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__empty-1, axiom, ( c_Wellfounded_Owf(_u12981, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12981, _u12981), tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__inv__image ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__inv__image-1, axiom, ( ~c_Wellfounded_Owf(_u12982, _u12983) | c_Wellfounded_Owf(_u12984, hAPP(hAPP(c_Relation_Oinv__image(_u12982, _u12984), _u12983), _u12985)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__lex__prod ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__lex__prod-1, axiom, ( ~c_Wellfounded_Owf(_u12986, _u12987) | ~c_Wellfounded_Owf(_u12988, _u12989) | c_Wellfounded_Owf(tc_prod(_u12986, _u12988), c_Wellfounded_Olex__prod(_u12986, _u12988, _u12987, _u12989)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__measure ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__measure-1, axiom, ( c_Wellfounded_Owf(_u12990, hAPP(c_Wellfounded_Omeasure(_u12990), _u12991)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_DomainI ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_DomainI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12992, _u12993)), hAPP(hAPP(c_Product__Type_OPair(_u12992, _u12993), _u12994), _u12995)), _u12996)) | hBOOL(hAPP(hAPP(c_member(_u12992), _u12994), hAPP(c_Relation_ODomain(_u12992, _u12993), _u12996))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__comp__self ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__comp__self-1, axiom, ( ~c_Wellfounded_Owf(_u12999, _u13001) | c_Wellfounded_Owf(_u12999, hAPP(hAPP(c_Relation_Orel__comp(_u12999, _u12999, _u12999), _u13001), _u13001)) )).
% 19.51/19.72 cnf(fact_wf__comp__self-2, axiom, ( ~c_Wellfounded_Owf(_u13000, hAPP(hAPP(c_Relation_Orel__comp(_u13000, _u13000, _u13000), _u13002), _u13002)) | c_Wellfounded_Owf(_u13000, _u13002) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_min__ext__wf ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_min__ext__wf-1, axiom, ( ~c_Wellfounded_Owf(_u13003, _u13004) | c_Wellfounded_Owf(tc_fun(_u13003, tc_HOL_Obool), c_Wellfounded_Omin__ext(_u13003, _u13004)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__subset ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__subset-1, axiom, ( ~c_Wellfounded_Owf(_u13005, _u13006) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13005, _u13005), tc_HOL_Obool)), _u13007), _u13006)) | c_Wellfounded_Owf(_u13005, _u13007) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__mlex ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__mlex-1, axiom, ( ~c_Wellfounded_Owf(_u13008, _u13009) | c_Wellfounded_Owf(_u13008, c_Wellfounded_Omlex__prod(_u13008, _u13010, _u13009)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__finite__psubset ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__finite__psubset-1, axiom, ( c_Wellfounded_Owf(tc_fun(_u13011, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u13011)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__Int1 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__Int1-1, axiom, ( ~c_Wellfounded_Owf(_u13012, _u13013) | c_Wellfounded_Owf(_u13012, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13012, _u13012), tc_HOL_Obool)), _u13013), _u13014)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__Int2 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__Int2-1, axiom, ( ~c_Wellfounded_Owf(_u13015, _u13016) | c_Wellfounded_Owf(_u13015, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13015, _u13015), tc_HOL_Obool)), _u13017), _u13016)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Domain__Id__on ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Domain__Id__on-1, axiom, ( ( hAPP(c_Relation_ODomain(_u13018, _u13018), c_Relation_OId__on(_u13018, _u13019)) = _u13019) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__pair__less ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__pair__less-1, axiom, ( c_Wellfounded_Owf(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_max__ext__wf ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_max__ext__wf-1, axiom, ( ~c_Wellfounded_Owf(_u13020, _u13021) | c_Wellfounded_Owf(tc_fun(_u13020, tc_HOL_Obool), c_Wellfounded_Omax__ext(_u13020, _u13021)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__less ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__less-1, axiom, ( c_Wellfounded_Owf(tc_Nat_Onat, hAPP(c_Set_OCollect(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__not__refl ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__not__refl-1, axiom, ( ~c_Wellfounded_Owf(_u13022, _u13023) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13022, _u13022)), hAPP(hAPP(c_Product__Type_OPair(_u13022, _u13022), _u13024), _u13024)), _u13023)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__not__sym ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__not__sym-1, axiom, ( ~c_Wellfounded_Owf(_u13025, _u13026) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13025, _u13025)), hAPP(hAPP(c_Product__Type_OPair(_u13025, _u13025), _u13027), _u13028)), _u13026)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13025, _u13025)), hAPP(hAPP(c_Product__Type_OPair(_u13025, _u13025), _u13028), _u13027)), _u13026)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__asym ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__asym-1, axiom, ( ~c_Wellfounded_Owf(_u13029, _u13030) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13029, _u13029)), hAPP(hAPP(c_Product__Type_OPair(_u13029, _u13029), _u13031), _u13032)), _u13030)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13029, _u13029)), hAPP(hAPP(c_Product__Type_OPair(_u13029, _u13029), _u13032), _u13031)), _u13030)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__irrefl ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__irrefl-1, axiom, ( ~c_Wellfounded_Owf(_u13033, _u13034) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13033, _u13033)), hAPP(hAPP(c_Product__Type_OPair(_u13033, _u13033), _u13035), _u13035)), _u13034)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__int__ge__less__than ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__int__ge__less__than-1, axiom, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than(_u13036)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__int__ge__less__than2 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__int__ge__less__than2-1, axiom, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than2(_u13037)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__Un ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__Un-1, axiom, ( ~c_Wellfounded_Owf(_u13038, _u13039) | ~c_Wellfounded_Owf(_u13038, _u13040) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13038, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13038, _u13038), _u13039)), hAPP(c_Relation_ORange(_u13038, _u13038), _u13040)) != c_Orderings_Obot__class_Obot(tc_fun(_u13038, tc_HOL_Obool))) | c_Wellfounded_Owf(_u13038, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13038, _u13038), tc_HOL_Obool)), _u13039), _u13040)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__acc__iff ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__acc__iff-1, axiom, ( ~c_Wellfounded_Owf(_u13045, _u13047) | hBOOL(hAPP(hAPP(c_member(_u13045), _u13041), c_Wellfounded_Oacc(_u13045, _u13047))) )).
% 19.51/19.72 cnf(fact_wf__acc__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13046), skolem312(_u13048, _u13046)), c_Wellfounded_Oacc(_u13046, _u13048))) | c_Wellfounded_Owf(_u13046, _u13048) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_acc__wfD ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_acc__wfD-1, axiom, ( ~c_Wellfounded_Owf(_u13049, _u13050) | hBOOL(hAPP(hAPP(c_member(_u13049), _u13051), c_Wellfounded_Oacc(_u13049, _u13050))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__no__loop ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__no__loop-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13052, _u13052, _u13052), _u13053), _u13053) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13052, _u13052), tc_HOL_Obool))) | c_Wellfounded_Owf(_u13052, _u13053) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__union__merge ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__union__merge-1, axiom, ( ~c_Wellfounded_Owf(_u13057, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13057, _u13057), tc_HOL_Obool)), _u13059), _u13061)) | c_Wellfounded_Owf(_u13057, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13057, _u13057), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13057, _u13057), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13057, _u13057, _u13057), _u13059), _u13059)), hAPP(hAPP(c_Relation_Orel__comp(_u13057, _u13057, _u13057), _u13061), _u13059))), _u13061)) )).
% 19.51/19.72 cnf(fact_wf__union__merge-2, axiom, ( ~c_Wellfounded_Owf(_u13058, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13058, _u13058), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13058, _u13058), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13058, _u13058, _u13058), _u13060), _u13060)), hAPP(hAPP(c_Relation_Orel__comp(_u13058, _u13058, _u13058), _u13062), _u13060))), _u13062)) | c_Wellfounded_Owf(_u13058, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13058, _u13058), tc_HOL_Obool)), _u13060), _u13062)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Domain__empty__iff ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Domain__empty__iff-1, axiom, ( ( hAPP(c_Relation_ODomain(_u13066, _u13068), _u13070) != c_Orderings_Obot__class_Obot(tc_fun(_u13066, tc_HOL_Obool))) | ( _u13070 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13066, _u13068), tc_HOL_Obool))) )).
% 19.51/19.72 cnf(fact_Domain__empty__iff-2, axiom, ( ( _u13071 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13067, _u13069), tc_HOL_Obool))) | ( hAPP(c_Relation_ODomain(_u13067, _u13069), _u13071) = c_Orderings_Obot__class_Obot(tc_fun(_u13067, tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Domain__empty ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Domain__empty-1, axiom, ( ( hAPP(c_Relation_ODomain(_u13072, _u13073), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13072, _u13073), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u13072, tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Domain__mono ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Domain__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13074, _u13075), tc_HOL_Obool)), _u13076), _u13077)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13074, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13074, _u13075), _u13076)), hAPP(c_Relation_ODomain(_u13074, _u13075), _u13077))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Domain__Un__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Domain__Un__eq-1, axiom, ( ( hAPP(c_Relation_ODomain(_u13078, _u13079), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13078, _u13079), tc_HOL_Obool)), _u13080), _u13081)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13078, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13078, _u13079), _u13080)), hAPP(c_Relation_ODomain(_u13078, _u13079), _u13081))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_finite__Domain ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_finite__Domain-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13082, _u13083)), _u13084)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13082), hAPP(c_Relation_ODomain(_u13082, _u13083), _u13084))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_fst__eq__Domain ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_fst__eq__Domain-1, axiom, ( ( hAPP(c_Set_Oimage(tc_prod(_u13085, _u13086), _u13085, c_Product__Type_Ofst(_u13085, _u13086)), _u13087) = hAPP(c_Relation_ODomain(_u13085, _u13086), _u13087)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__iff__no__infinite__down__chain ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__iff__no__infinite__down__chain-1, axiom, ( ~c_Wellfounded_Owf(_u13094, _u13096) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13094, _u13094)), hAPP(hAPP(c_Product__Type_OPair(_u13094, _u13094), hAPP(_u13089, hAPP(c_Nat_OSuc, skolem313(_u13096, _u13094, _u13089)))), hAPP(_u13089, skolem313(_u13096, _u13094, _u13089)))), _u13096)) )).
% 19.51/19.72 cnf(fact_wf__iff__no__infinite__down__chain-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13095, _u13095)), hAPP(hAPP(c_Product__Type_OPair(_u13095, _u13095), hAPP(skolem314(_u13097, _u13095), hAPP(c_Nat_OSuc, _u13090))), hAPP(skolem314(_u13097, _u13095), _u13090))), _u13097)) | c_Wellfounded_Owf(_u13095, _u13097) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wfE__pf ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wfE__pf-1, axiom, ( ~c_Wellfounded_Owf(_u13098, _u13099) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13098, tc_HOL_Obool)), _u13100), hAPP(c_Relation_OImage(_u13098, _u13098, _u13099), _u13100))) | ( _u13100 = c_Orderings_Obot__class_Obot(tc_fun(_u13098, tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__union__compatible ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__union__compatible-1, axiom, ( ~c_Wellfounded_Owf(_u13101, _u13102) | ~c_Wellfounded_Owf(_u13101, _u13103) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13101, _u13101), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13101, _u13101, _u13101), _u13102), _u13103)), _u13102)) | c_Wellfounded_Owf(_u13101, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13101, _u13101), tc_HOL_Obool)), _u13102), _u13103)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Domain__iff ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Domain__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13110), _u13112), hAPP(c_Relation_ODomain(_u13110, _u13114), _u13116))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13110, _u13114)), hAPP(hAPP(c_Product__Type_OPair(_u13110, _u13114), _u13112), skolem315(_u13116, _u13114, _u13112, _u13110))), _u13116)) )).
% 19.51/19.72 cnf(fact_Domain__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13111, _u13115)), hAPP(hAPP(c_Product__Type_OPair(_u13111, _u13115), _u13113), _u13105)), _u13117)) | hBOOL(hAPP(hAPP(c_member(_u13111), _u13113), hAPP(c_Relation_ODomain(_u13111, _u13115), _u13117))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf-1, axiom, ( ~class_Orderings_Owellorder(_u13118) | c_Wellfounded_Owf(_u13118, hAPP(c_Set_OCollect(tc_prod(_u13118, _u13118)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13118, _u13118, tc_HOL_Obool), c_Orderings_Oord__class_Oless(_u13118)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Domain__insert ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Domain__insert-1, axiom, ( ( hAPP(c_Relation_ODomain(_u13119, _u13120), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13119, _u13120)), hAPP(hAPP(c_Product__Type_OPair(_u13119, _u13120), _u13121), _u13122)), _u13123)) = hAPP(hAPP(c_Set_Oinsert(_u13119), _u13121), hAPP(c_Relation_ODomain(_u13119, _u13120), _u13123))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_reduction__pair__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_reduction__pair__def-1, axiom, ( ~c_FunDef_Oreduction__pair(_u13126, _u13128) | c_Wellfounded_Owf(_u13126, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13126, _u13126), tc_HOL_Obool), tc_fun(tc_prod(_u13126, _u13126), tc_HOL_Obool)), _u13128)) )).
% 19.51/19.72 cnf(fact_reduction__pair__def-2, axiom, ( ~c_FunDef_Oreduction__pair(_u13126, _u13128) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13126, _u13126), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13126, _u13126, _u13126), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13126, _u13126), tc_HOL_Obool), tc_fun(tc_prod(_u13126, _u13126), tc_HOL_Obool)), _u13128)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u13126, _u13126), tc_HOL_Obool), tc_fun(tc_prod(_u13126, _u13126), tc_HOL_Obool)), _u13128))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13126, _u13126), tc_HOL_Obool), tc_fun(tc_prod(_u13126, _u13126), tc_HOL_Obool)), _u13128))) )).
% 19.51/19.72 cnf(fact_reduction__pair__def-3, axiom, ( ~c_Wellfounded_Owf(_u13127, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13127, _u13127), tc_HOL_Obool), tc_fun(tc_prod(_u13127, _u13127), tc_HOL_Obool)), _u13129)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13127, _u13127), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13127, _u13127, _u13127), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13127, _u13127), tc_HOL_Obool), tc_fun(tc_prod(_u13127, _u13127), tc_HOL_Obool)), _u13129)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u13127, _u13127), tc_HOL_Obool), tc_fun(tc_prod(_u13127, _u13127), tc_HOL_Obool)), _u13129))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13127, _u13127), tc_HOL_Obool), tc_fun(tc_prod(_u13127, _u13127), tc_HOL_Obool)), _u13129))) | c_FunDef_Oreduction__pair(_u13127, _u13129) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_reduction__pair__lemma ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_reduction__pair__lemma-1, axiom, ( ~c_FunDef_Oreduction__pair(_u13130, _u13131) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13130, _u13130), tc_HOL_Obool)), _u13132), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13130, _u13130), tc_HOL_Obool), tc_fun(tc_prod(_u13130, _u13130), tc_HOL_Obool)), _u13131))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13130, _u13130), tc_HOL_Obool)), _u13133), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u13130, _u13130), tc_HOL_Obool), tc_fun(tc_prod(_u13130, _u13130), tc_HOL_Obool)), _u13131))) | ~c_Wellfounded_Owf(_u13130, _u13133) | c_Wellfounded_Owf(_u13130, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13130, _u13130), tc_HOL_Obool)), _u13132), _u13133)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Domain__Int__subset ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Domain__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13134, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13134, _u13135), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13134, _u13135), tc_HOL_Obool)), _u13136), _u13137))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13134, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13134, _u13135), _u13136)), hAPP(c_Relation_ODomain(_u13134, _u13135), _u13137)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Domain__Diff__subset ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Domain__Diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13138, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13138, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13138, _u13139), _u13140)), hAPP(c_Relation_ODomain(_u13138, _u13139), _u13141))), hAPP(c_Relation_ODomain(_u13138, _u13139), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13138, _u13139), tc_HOL_Obool)), _u13140), _u13141)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Field__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Field__def-1, axiom, ( ( hAPP(c_Relation_OField(_u13142), _u13143) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13142, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13142, _u13142), _u13143)), hAPP(c_Relation_ORange(_u13142, _u13142), _u13143))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__map__pair__image ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__map__pair__image-1, axiom, ( ~c_Wellfounded_Owf(_u13144, _u13145) | ~c_Fun_Oinj__on(_u13144, _u13146, _u13147, c_Orderings_Otop__class_Otop(tc_fun(_u13144, tc_HOL_Obool))) | c_Wellfounded_Owf(_u13146, hAPP(c_Set_Oimage(tc_prod(_u13144, _u13144), tc_prod(_u13146, _u13146), c_Product__Type_Omap__pair(_u13144, _u13146, _u13144, _u13146, _u13147, _u13147)), _u13145)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Domain__Union ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Domain__Union-1, axiom, ( ( hAPP(c_Relation_ODomain(_u13148, _u13149), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u13148, _u13149), tc_HOL_Obool), _u13150)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u13148, _u13149), tc_HOL_Obool), tc_fun(_u13148, tc_HOL_Obool)), _u13150), c_Relation_ODomain(_u13148, _u13149))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_the__eq__trivial ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_the__eq__trivial-1, axiom, ( ( c_HOL_OThe(_u13151, hAPP(hAPP(c_COMBC(_u13151, _u13151, tc_HOL_Obool), c_fequal), _u13152)) = _u13152) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_DomainP__Domain__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_DomainP__Domain__eq-1, axiom, ( ~hBOOL(hAPP(c_Predicate_ODomainP(_u13157, _u13159, hAPP(hAPP(c_COMBC(_u13157, tc_fun(tc_prod(_u13157, _u13159), tc_HOL_Obool), tc_fun(_u13159, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13159, tc_fun(tc_fun(tc_prod(_u13157, _u13159), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13157, _u13159), tc_HOL_Obool), tc_fun(_u13159, tc_HOL_Obool)), _u13157), c_COMBC(_u13159, tc_fun(tc_prod(_u13157, _u13159), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13159, tc_prod(_u13157, _u13159)), tc_fun(_u13159, tc_fun(tc_fun(tc_prod(_u13157, _u13159), tc_HOL_Obool), tc_HOL_Obool)), _u13157), hAPP(c_COMBB(tc_prod(_u13157, _u13159), tc_fun(tc_fun(tc_prod(_u13157, _u13159), tc_HOL_Obool), tc_HOL_Obool), _u13159), c_member(tc_prod(_u13157, _u13159)))), c_Product__Type_OPair(_u13157, _u13159)))), _u13161)), _u13163)) | hBOOL(hAPP(hAPP(c_member(_u13157), _u13163), hAPP(c_Relation_ODomain(_u13157, _u13159), _u13161))) )).
% 19.51/19.72 cnf(fact_DomainP__Domain__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13158), _u13164), hAPP(c_Relation_ODomain(_u13158, _u13160), _u13162))) | hBOOL(hAPP(c_Predicate_ODomainP(_u13158, _u13160, hAPP(hAPP(c_COMBC(_u13158, tc_fun(tc_prod(_u13158, _u13160), tc_HOL_Obool), tc_fun(_u13160, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13160, tc_fun(tc_fun(tc_prod(_u13158, _u13160), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13158, _u13160), tc_HOL_Obool), tc_fun(_u13160, tc_HOL_Obool)), _u13158), c_COMBC(_u13160, tc_fun(tc_prod(_u13158, _u13160), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13160, tc_prod(_u13158, _u13160)), tc_fun(_u13160, tc_fun(tc_fun(tc_prod(_u13158, _u13160), tc_HOL_Obool), tc_HOL_Obool)), _u13158), hAPP(c_COMBB(tc_prod(_u13158, _u13160), tc_fun(tc_fun(tc_prod(_u13158, _u13160), tc_HOL_Obool), tc_HOL_Obool), _u13160), c_member(tc_prod(_u13158, _u13160)))), c_Product__Type_OPair(_u13158, _u13160)))), _u13162)), _u13164)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__lenlex ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__lenlex-1, axiom, ( ~c_Wellfounded_Owf(_u13165, _u13166) | c_Wellfounded_Owf(tc_List_Olist(_u13165), c_List_Olenlex(_u13165, _u13166)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_DomainE ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_DomainE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13168), _u13169), hAPP(c_Relation_ODomain(_u13168, _u13170), _u13171))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13168, _u13170)), hAPP(hAPP(c_Product__Type_OPair(_u13168, _u13170), _u13169), skolem316(_u13171, _u13170, _u13169, _u13168))), _u13171)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_DomainP_Ointros ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_DomainP_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u13172, _u13173), _u13174)) | hBOOL(hAPP(c_Predicate_ODomainP(_u13175, _u13176, _u13172), _u13173)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_DomainP_Oequations ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_DomainP_Oequations-1, axiom, ( hBOOL(hAPP(hAPP(_u13187, _u13189), skolem317(_u13189, _u13187))) | ~hBOOL(hAPP(c_Predicate_ODomainP(_u13183, _u13185, _u13187), _u13189)) )).
% 19.51/19.72 cnf(fact_DomainP_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(_u13188, _u13190), _u13178)) | hBOOL(hAPP(c_Predicate_ODomainP(_u13184, _u13186, _u13188), _u13190)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_pred__nat__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_pred__nat__def-1, axiom, ( ( c_Wellfounded_Opred__nat = hAPP(c_Set_OCollect(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_fequal)), c_Nat_OSuc)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__lex ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__lex-1, axiom, ( ~c_Wellfounded_Owf(_u13191, _u13192) | c_Wellfounded_Owf(tc_List_Olist(_u13191), c_List_Olex(_u13191, _u13192)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__lexn ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__lexn-1, axiom, ( ~c_Wellfounded_Owf(_u13193, _u13194) | c_Wellfounded_Owf(tc_List_Olist(_u13193), hAPP(c_List_Olexn(_u13193, _u13194), _u13195)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_lex__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_lex__def-1, axiom, ( ( c_List_Olex(_u13196, _u13197) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(tc_List_Olist(_u13196), tc_List_Olist(_u13196)), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_List_Olexn(_u13196, _u13197))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_lexn_Osimps_I1_J ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_lexn_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Olexn(_u13198, _u13199), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(_u13198), tc_List_Olist(_u13198)), tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__pred__nat ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__pred__nat-1, axiom, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Opred__nat) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__same__fst ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__same__fst-1, axiom, ( c_Wellfounded_Owf(tc_prod(_u13204, _u13202), c_Recdef_Osame__fst(_u13204, _u13202, _u13201, _u13203)) | hBOOL(hAPP(_u13201, skolem318(_u13204, _u13203, _u13202, _u13201))) )).
% 19.51/19.72 cnf(fact_wf__same__fst-2, axiom, ( c_Wellfounded_Owf(tc_prod(_u13204, _u13202), c_Recdef_Osame__fst(_u13204, _u13202, _u13201, _u13203)) | ~c_Wellfounded_Owf(_u13202, hAPP(_u13203, skolem318(_u13204, _u13203, _u13202, _u13201))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__if__measure ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__if__measure-1, axiom, ( c_Wellfounded_Owf(_u13209, hAPP(c_Set_OCollect(tc_prod(_u13209, _u13209)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13209, _u13209, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13209, tc_HOL_Obool), tc_fun(_u13209, tc_HOL_Obool), _u13209), hAPP(c_COMBS(_u13209, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13209), c_fconj), _u13206))), hAPP(hAPP(c_COMBC(_u13209, tc_fun(_u13209, _u13209), tc_fun(_u13209, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13209, tc_HOL_Obool), tc_fun(tc_fun(_u13209, _u13209), tc_fun(_u13209, tc_HOL_Obool)), _u13209), c_COMBB(_u13209, tc_HOL_Obool, _u13209)), c_fequal)), _u13208))))) | hBOOL(hAPP(_u13206, skolem319(_u13209, _u13208, _u13207, _u13206))) )).
% 19.51/19.72 cnf(fact_wf__if__measure-2, axiom, ( c_Wellfounded_Owf(_u13209, hAPP(c_Set_OCollect(tc_prod(_u13209, _u13209)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13209, _u13209, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13209, tc_HOL_Obool), tc_fun(_u13209, tc_HOL_Obool), _u13209), hAPP(c_COMBS(_u13209, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13209), c_fconj), _u13206))), hAPP(hAPP(c_COMBC(_u13209, tc_fun(_u13209, _u13209), tc_fun(_u13209, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13209, tc_HOL_Obool), tc_fun(tc_fun(_u13209, _u13209), tc_fun(_u13209, tc_HOL_Obool)), _u13209), c_COMBB(_u13209, tc_HOL_Obool, _u13209)), c_fequal)), _u13208))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u13207, hAPP(_u13208, skolem319(_u13209, _u13208, _u13207, _u13206)))), hAPP(_u13207, skolem319(_u13209, _u13208, _u13207, _u13206)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wfP__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wfP__def-1, axiom, ( ~c_Wellfounded_OwfP(_u13212, _u13214) | c_Wellfounded_Owf(_u13212, hAPP(c_Set_OCollect(tc_prod(_u13212, _u13212)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13212, _u13212, tc_HOL_Obool), _u13214))) )).
% 19.51/19.72 cnf(fact_wfP__def-2, axiom, ( ~c_Wellfounded_Owf(_u13213, hAPP(c_Set_OCollect(tc_prod(_u13213, _u13213)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13213, _u13213, tc_HOL_Obool), _u13215))) | c_Wellfounded_OwfP(_u13213, _u13215) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wfP__empty ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wfP__empty-1, axiom, ( c_Wellfounded_OwfP(_u13216, hAPP(c_COMBK(tc_fun(_u13216, tc_HOL_Obool), _u13216), hAPP(c_COMBK(tc_HOL_Obool, _u13216), c_fFalse))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wfP__accp__iff ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wfP__accp__iff-1, axiom, ( ~c_Wellfounded_OwfP(_u13221, _u13223) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u13221, _u13223), _u13217)) )).
% 19.51/19.72 cnf(fact_wfP__accp__iff-2, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u13222, _u13224), skolem320(_u13224, _u13222))) | c_Wellfounded_OwfP(_u13222, _u13224) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_accp__wfPD ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_accp__wfPD-1, axiom, ( ~c_Wellfounded_OwfP(_u13225, _u13226) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u13225, _u13226), _u13227)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wfP__subset ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wfP__subset-1, axiom, ( ~c_Wellfounded_OwfP(_u13228, _u13229) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13228, tc_fun(_u13228, tc_HOL_Obool))), _u13230), _u13229)) | c_Wellfounded_OwfP(_u13228, _u13230) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__in__rel ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__in__rel-1, axiom, ( ~c_Wellfounded_Owf(_u13231, _u13232) | c_Wellfounded_OwfP(_u13231, c_FunDef_Oin__rel(_u13231, _u13231, _u13232)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wfP__wf__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wfP__wf__eq-1, axiom, ( ~c_Wellfounded_OwfP(_u13235, hAPP(hAPP(c_COMBC(_u13235, tc_fun(tc_prod(_u13235, _u13235), tc_HOL_Obool), tc_fun(_u13235, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13235, tc_fun(tc_fun(tc_prod(_u13235, _u13235), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13235, _u13235), tc_HOL_Obool), tc_fun(_u13235, tc_HOL_Obool)), _u13235), c_COMBC(_u13235, tc_fun(tc_prod(_u13235, _u13235), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13235, tc_prod(_u13235, _u13235)), tc_fun(_u13235, tc_fun(tc_fun(tc_prod(_u13235, _u13235), tc_HOL_Obool), tc_HOL_Obool)), _u13235), hAPP(c_COMBB(tc_prod(_u13235, _u13235), tc_fun(tc_fun(tc_prod(_u13235, _u13235), tc_HOL_Obool), tc_HOL_Obool), _u13235), c_member(tc_prod(_u13235, _u13235)))), c_Product__Type_OPair(_u13235, _u13235)))), _u13237)) | c_Wellfounded_Owf(_u13235, _u13237) )).
% 19.51/19.72 cnf(fact_wfP__wf__eq-2, axiom, ( ~c_Wellfounded_Owf(_u13236, _u13238) | c_Wellfounded_OwfP(_u13236, hAPP(hAPP(c_COMBC(_u13236, tc_fun(tc_prod(_u13236, _u13236), tc_HOL_Obool), tc_fun(_u13236, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13236, tc_fun(tc_fun(tc_prod(_u13236, _u13236), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13236, _u13236), tc_HOL_Obool), tc_fun(_u13236, tc_HOL_Obool)), _u13236), c_COMBC(_u13236, tc_fun(tc_prod(_u13236, _u13236), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13236, tc_prod(_u13236, _u13236)), tc_fun(_u13236, tc_fun(tc_fun(tc_prod(_u13236, _u13236), tc_HOL_Obool), tc_HOL_Obool)), _u13236), hAPP(c_COMBB(tc_prod(_u13236, _u13236), tc_fun(tc_fun(tc_prod(_u13236, _u13236), tc_HOL_Obool), tc_HOL_Obool), _u13236), c_member(tc_prod(_u13236, _u13236)))), c_Product__Type_OPair(_u13236, _u13236)))), _u13238)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wfP__acyclicP ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wfP__acyclicP-1, axiom, ( ~c_Wellfounded_OwfP(_u13239, _u13240) | c_Wellfounded_Oacyclic(_u13239, hAPP(c_Set_OCollect(tc_prod(_u13239, _u13239)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13239, _u13239, tc_HOL_Obool), _u13240))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_pigeonhole__infinite ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_pigeonhole__infinite-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u13242), _u13243)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13244), hAPP(c_Set_Oimage(_u13242, _u13244, _u13245), _u13243))) | hBOOL(hAPP(hAPP(c_member(_u13242), skolem321(_u13245, _u13244, _u13243, _u13242)), _u13243)) )).
% 19.51/19.72 cnf(fact_pigeonhole__infinite-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u13242), _u13243)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13244), hAPP(c_Set_Oimage(_u13242, _u13244, _u13245), _u13243))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13242), hAPP(c_Set_OCollect(_u13242), hAPP(hAPP(c_COMBS(_u13242, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13242), c_fconj), hAPP(hAPP(c_COMBC(_u13242, tc_fun(_u13242, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13242)), _u13243))), hAPP(hAPP(c_COMBC(_u13242, _u13244, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u13244, tc_fun(_u13244, tc_HOL_Obool), _u13242), c_fequal), _u13245)), hAPP(_u13245, skolem321(_u13245, _u13244, _u13243, _u13242))))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_refl__on__def_H ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_refl__on__def_H-1, axiom, ( ~c_Relation_Orefl__on(_u13253, _u13255, _u13257) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13253, _u13253)), _u13246), _u13257)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13253, _u13253, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13253, tc_fun(_u13253, tc_HOL_Obool), tc_fun(_u13253, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13253, tc_HOL_Obool), tc_fun(_u13253, tc_HOL_Obool)), _u13253), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13253)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13253), c_fconj), hAPP(hAPP(c_COMBC(_u13253, tc_fun(_u13253, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13253)), _u13255)))), hAPP(hAPP(c_COMBC(_u13253, tc_fun(_u13253, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13253)), _u13255))), _u13246)) )).
% 19.51/19.72 cnf(fact_refl__on__def_H-2, axiom, ( ~c_Relation_Orefl__on(_u13253, _u13255, _u13257) | ~hBOOL(hAPP(hAPP(c_member(_u13253), _u13247), _u13255)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13253, _u13253)), hAPP(hAPP(c_Product__Type_OPair(_u13253, _u13253), _u13247), _u13247)), _u13257)) )).
% 19.51/19.72 cnf(fact_refl__on__def_H-3, axiom, ( c_Relation_Orefl__on(_u13254, _u13256, _u13258) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13254, _u13254)), skolem322(_u13258, _u13256, _u13254)), _u13258)) | hBOOL(hAPP(hAPP(c_member(_u13254), skolem323(_u13258, _u13256, _u13254)), _u13256)) )).
% 19.51/19.72 cnf(fact_refl__on__def_H-4, axiom, ( c_Relation_Orefl__on(_u13254, _u13256, _u13258) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13254, _u13254)), skolem322(_u13258, _u13256, _u13254)), _u13258)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13254, _u13254)), hAPP(hAPP(c_Product__Type_OPair(_u13254, _u13254), skolem323(_u13258, _u13256, _u13254)), skolem323(_u13258, _u13256, _u13254))), _u13258)) )).
% 19.51/19.72 cnf(fact_refl__on__def_H-5, axiom, ( c_Relation_Orefl__on(_u13254, _u13256, _u13258) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13254, _u13254, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13254, tc_fun(_u13254, tc_HOL_Obool), tc_fun(_u13254, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13254, tc_HOL_Obool), tc_fun(_u13254, tc_HOL_Obool)), _u13254), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13254)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13254), c_fconj), hAPP(hAPP(c_COMBC(_u13254, tc_fun(_u13254, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13254)), _u13256)))), hAPP(hAPP(c_COMBC(_u13254, tc_fun(_u13254, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13254)), _u13256))), skolem322(_u13258, _u13256, _u13254))) | hBOOL(hAPP(hAPP(c_member(_u13254), skolem323(_u13258, _u13256, _u13254)), _u13256)) )).
% 19.51/19.72 cnf(fact_refl__on__def_H-6, axiom, ( c_Relation_Orefl__on(_u13254, _u13256, _u13258) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13254, _u13254, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13254, tc_fun(_u13254, tc_HOL_Obool), tc_fun(_u13254, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13254, tc_HOL_Obool), tc_fun(_u13254, tc_HOL_Obool)), _u13254), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13254)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13254), c_fconj), hAPP(hAPP(c_COMBC(_u13254, tc_fun(_u13254, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13254)), _u13256)))), hAPP(hAPP(c_COMBC(_u13254, tc_fun(_u13254, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13254)), _u13256))), skolem322(_u13258, _u13256, _u13254))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13254, _u13254)), hAPP(hAPP(c_Product__Type_OPair(_u13254, _u13254), skolem323(_u13258, _u13256, _u13254)), skolem323(_u13258, _u13256, _u13254))), _u13258)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_ball__empty ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_ball__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13260), _u13259), c_Orderings_Obot__class_Obot(tc_fun(_u13260, tc_HOL_Obool)))) | hBOOL(hAPP(_u13261, _u13259)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__acyclic ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__acyclic-1, axiom, ( ~c_Wellfounded_Owf(_u13262, _u13263) | c_Wellfounded_Oacyclic(_u13262, _u13263) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Powp__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Powp__def-1, axiom, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u13269, _u13271), _u13273)) | ~hBOOL(hAPP(hAPP(c_member(_u13269), _u13264), _u13273)) | hBOOL(hAPP(_u13271, _u13264)) )).
% 19.51/19.72 cnf(fact_Powp__def-2, axiom, ( hBOOL(hAPP(c_Predicate_OPowp(_u13270, _u13272), _u13274)) | hBOOL(hAPP(hAPP(c_member(_u13270), skolem324(_u13274, _u13272, _u13270)), _u13274)) )).
% 19.51/19.72 cnf(fact_Powp__def-3, axiom, ( hBOOL(hAPP(c_Predicate_OPowp(_u13270, _u13272), _u13274)) | ~hBOOL(hAPP(_u13272, skolem324(_u13274, _u13272, _u13270))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_acyclic__subset ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_acyclic__subset-1, axiom, ( ~c_Wellfounded_Oacyclic(_u13275, _u13276) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13275, _u13275), tc_HOL_Obool)), _u13277), _u13276)) | c_Wellfounded_Oacyclic(_u13275, _u13277) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_INFI__bool__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_INFI__bool__eq-1, axiom, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u13278, tc_HOL_Obool) = c_Set_OBall(_u13278)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Collect__ball__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Collect__ball__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u13279), hAPP(hAPP(c_COMBB(tc_fun(_u13280, tc_HOL_Obool), tc_HOL_Obool, _u13279), c_HOL_OAll(_u13280)), hAPP(hAPP(c_COMBB(tc_fun(_u13280, tc_HOL_Obool), tc_fun(_u13280, tc_HOL_Obool), _u13279), hAPP(c_COMBS(_u13280, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13280), c_fimplies), hAPP(hAPP(c_COMBC(_u13280, tc_fun(_u13280, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13280)), _u13281)))), _u13282))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u13280, tc_fun(_u13279, tc_HOL_Obool)), _u13281), hAPP(hAPP(c_COMBB(tc_fun(_u13279, tc_HOL_Obool), tc_fun(_u13279, tc_HOL_Obool), _u13280), c_Set_OCollect(_u13279)), hAPP(c_COMBC(_u13279, _u13280, tc_HOL_Obool), _u13282)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_congruent__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_congruent__def-1, axiom, ( ~c_Equiv__Relations_Ocongruent(_u13289, _u13291, _u13293, _u13295) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13289, _u13289)), _u13283), _u13293)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13289, _u13289, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13289, tc_fun(_u13289, _u13291), tc_fun(_u13289, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13291, tc_HOL_Obool), tc_fun(tc_fun(_u13289, _u13291), tc_fun(_u13289, tc_HOL_Obool)), _u13289), c_COMBB(_u13291, tc_HOL_Obool, _u13289)), hAPP(hAPP(c_COMBB(_u13291, tc_fun(_u13291, tc_HOL_Obool), _u13289), c_fequal), _u13295))), _u13295)), _u13283)) )).
% 19.51/19.72 cnf(fact_congruent__def-2, axiom, ( c_Equiv__Relations_Ocongruent(_u13290, _u13292, _u13294, _u13296) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13290, _u13290)), skolem325(_u13296, _u13294, _u13292, _u13290)), _u13294)) )).
% 19.51/19.72 cnf(fact_congruent__def-3, axiom, ( c_Equiv__Relations_Ocongruent(_u13290, _u13292, _u13294, _u13296) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13290, _u13290, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13290, tc_fun(_u13290, _u13292), tc_fun(_u13290, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13292, tc_HOL_Obool), tc_fun(tc_fun(_u13290, _u13292), tc_fun(_u13290, tc_HOL_Obool)), _u13290), c_COMBB(_u13292, tc_HOL_Obool, _u13290)), hAPP(hAPP(c_COMBB(_u13292, tc_fun(_u13292, tc_HOL_Obool), _u13290), c_fequal), _u13296))), _u13296)), skolem325(_u13296, _u13294, _u13292, _u13290))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_INTER__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_INTER__def-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u13297, tc_fun(_u13298, tc_HOL_Obool)), _u13299), _u13300) = hAPP(c_Set_OCollect(_u13298), hAPP(hAPP(c_COMBB(tc_fun(_u13297, tc_HOL_Obool), tc_HOL_Obool, _u13298), c_HOL_OAll(_u13297)), hAPP(hAPP(c_COMBB(tc_fun(_u13297, tc_HOL_Obool), tc_fun(_u13297, tc_HOL_Obool), _u13298), hAPP(c_COMBS(_u13297, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13297), c_fimplies), hAPP(hAPP(c_COMBC(_u13297, tc_fun(_u13297, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13297)), _u13299)))), hAPP(hAPP(c_COMBC(_u13298, tc_fun(_u13297, tc_fun(_u13298, tc_HOL_Obool)), tc_fun(_u13297, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13298, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u13297, tc_fun(_u13298, tc_HOL_Obool)), tc_fun(_u13297, tc_HOL_Obool)), _u13298), c_COMBB(tc_fun(_u13298, tc_HOL_Obool), tc_HOL_Obool, _u13297)), c_member(_u13298))), _u13300))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_finite__acyclic__wf ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_finite__acyclic__wf-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13301, _u13301)), _u13302)) | ~c_Wellfounded_Oacyclic(_u13301, _u13302) | c_Wellfounded_Owf(_u13301, _u13302) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__iff__acyclic__if__finite ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__iff__acyclic__if__finite-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13303, _u13303)), _u13304)) | ~c_Wellfounded_Owf(_u13303, _u13304) | c_Wellfounded_Oacyclic(_u13303, _u13304) )).
% 19.51/19.72 cnf(fact_wf__iff__acyclic__if__finite-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13303, _u13303)), _u13304)) | ~c_Wellfounded_Oacyclic(_u13303, _u13304) | c_Wellfounded_Owf(_u13303, _u13304) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Sup__Inf ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Sup__Inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u13305) | ( c_Complete__Lattice_OSup__class_OSup(_u13305, _u13306) = c_Complete__Lattice_OInf__class_OInf(_u13305, hAPP(c_Set_OCollect(_u13305), hAPP(hAPP(c_COMBB(tc_fun(_u13305, tc_HOL_Obool), tc_HOL_Obool, _u13305), c_HOL_OAll(_u13305)), hAPP(hAPP(c_COMBB(tc_fun(_u13305, tc_HOL_Obool), tc_fun(_u13305, tc_HOL_Obool), _u13305), hAPP(c_COMBS(_u13305, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13305), c_fimplies), hAPP(hAPP(c_COMBC(_u13305, tc_fun(_u13305, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13305)), _u13306)))), hAPP(c_COMBC(_u13305, _u13305, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u13305))))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Inf__Sup ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Inf__Sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u13307) | ( c_Complete__Lattice_OInf__class_OInf(_u13307, _u13308) = c_Complete__Lattice_OSup__class_OSup(_u13307, hAPP(c_Set_OCollect(_u13307), hAPP(hAPP(c_COMBB(tc_fun(_u13307, tc_HOL_Obool), tc_HOL_Obool, _u13307), c_HOL_OAll(_u13307)), hAPP(hAPP(c_COMBB(tc_fun(_u13307, tc_HOL_Obool), tc_fun(_u13307, tc_HOL_Obool), _u13307), hAPP(c_COMBS(_u13307, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13307), c_fimplies), hAPP(hAPP(c_COMBC(_u13307, tc_fun(_u13307, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13307)), _u13308)))), c_Orderings_Oord__class_Oless__eq(_u13307)))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Nitpick_Owf_H__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Nitpick_Owf_H__def-1, axiom, ( ~c_Nitpick_Owf_H(_u13311, _u13313) | c_Wellfounded_Oacyclic(_u13311, _u13313) )).
% 19.51/19.72 cnf(fact_Nitpick_Owf_H__def-2, axiom, ( ~c_Nitpick_Owf_H(_u13311, _u13313) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13311, _u13311)), _u13313)) | c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 19.51/19.72 cnf(fact_Nitpick_Owf_H__def-3, axiom, ( c_Nitpick_Owf_H(_u13312, _u13314) | ~c_Wellfounded_Oacyclic(_u13312, _u13314) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13312, _u13312)), _u13314)) )).
% 19.51/19.72 cnf(fact_Nitpick_Owf_H__def-4, axiom, ( c_Nitpick_Owf_H(_u13312, _u13314) | ~c_Wellfounded_Oacyclic(_u13312, _u13314) | ~c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Abs__Integ__induct ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Abs__Integ__induct-1, axiom, ( hBOOL(hAPP(_u13316, _u13317)) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem326(_u13317, _u13316)), c_Int_OInteg)) )).
% 19.51/19.72 cnf(fact_Abs__Integ__induct-2, axiom, ( hBOOL(hAPP(_u13316, _u13317)) | ~hBOOL(hAPP(_u13316, hAPP(c_Int_OAbs__Integ, skolem326(_u13317, _u13316)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Abs__Integ__cases ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Abs__Integ__cases-1, axiom, ( ( _u13319 = hAPP(c_Int_OAbs__Integ, skolem327(_u13319))) )).
% 19.51/19.72 cnf(fact_Abs__Integ__cases-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem327(_u13319)), c_Int_OInteg)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Inter__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Inter__eq-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u13320, tc_HOL_Obool), _u13321) = hAPP(c_Set_OCollect(_u13320), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13320, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u13320), c_HOL_OAll(tc_fun(_u13320, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13320, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u13320, tc_HOL_Obool), tc_HOL_Obool), _u13320), hAPP(c_COMBS(tc_fun(_u13320, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u13320, tc_HOL_Obool)), c_fimplies), hAPP(hAPP(c_COMBC(tc_fun(_u13320, tc_HOL_Obool), tc_fun(tc_fun(_u13320, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u13320, tc_HOL_Obool))), _u13321)))), c_member(_u13320))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_finite__UN__I ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_finite__UN__I-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13323), _u13324)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13325), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13323, tc_fun(_u13325, tc_HOL_Obool)), _u13324), _u13326))) | hBOOL(hAPP(hAPP(c_member(_u13323), skolem328(_u13326, _u13325, _u13324, _u13323)), _u13324)) )).
% 19.51/19.72 cnf(fact_finite__UN__I-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13323), _u13324)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13325), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13323, tc_fun(_u13325, tc_HOL_Obool)), _u13324), _u13326))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13325), hAPP(_u13326, skolem328(_u13326, _u13325, _u13324, _u13323)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_inj__on__diff__nat ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_inj__on__diff__nat-1, axiom, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Nat_Onat, hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)), _u13329), _u13328) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem329(_u13329, _u13328)), _u13328)) )).
% 19.51/19.72 cnf(fact_inj__on__diff__nat-2, axiom, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Nat_Onat, hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)), _u13329), _u13328) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u13329), skolem329(_u13329, _u13328))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wfP__SUP ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wfP__SUP-1, axiom, ( ~c_Wellfounded_OwfP(_u13333, hAPP(_u13334, skolem330(_u13335, _u13334, _u13333))) | c_Wellfounded_OwfP(_u13333, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13335, tc_fun(_u13333, tc_fun(_u13333, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u13335, tc_HOL_Obool))), _u13334)) | ( hAPP(_u13334, skolem331(_u13335, _u13334, _u13333)) != hAPP(_u13334, skolem332(_u13335, _u13334, _u13333))) )).
% 19.51/19.72 cnf(fact_wfP__SUP-2, axiom, ( ~c_Wellfounded_OwfP(_u13333, hAPP(_u13334, skolem330(_u13335, _u13334, _u13333))) | c_Wellfounded_OwfP(_u13333, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13335, tc_fun(_u13333, tc_fun(_u13333, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u13335, tc_HOL_Obool))), _u13334)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13333, tc_HOL_Obool)), c_Predicate_ODomainP(_u13333, _u13333, hAPP(_u13334, skolem331(_u13335, _u13334, _u13333)))), c_Predicate_ORangeP(_u13333, _u13333, hAPP(_u13334, skolem332(_u13335, _u13334, _u13333)))) != c_Orderings_Obot__class_Obot(tc_fun(_u13333, tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_mem__splitE ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_mem__splitE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13338), _u13339), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13340, _u13341, tc_fun(_u13338, tc_HOL_Obool)), _u13342), _u13343))) | ( _u13343 = hAPP(hAPP(c_Product__Type_OPair(_u13340, _u13341), skolem333(_u13343, _u13342, _u13341, _u13340, _u13339, _u13338)), skolem334(_u13343, _u13342, _u13341, _u13340, _u13339, _u13338))) )).
% 19.51/19.72 cnf(fact_mem__splitE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13338), _u13339), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13340, _u13341, tc_fun(_u13338, tc_HOL_Obool)), _u13342), _u13343))) | hBOOL(hAPP(hAPP(c_member(_u13338), _u13339), hAPP(hAPP(_u13342, skolem333(_u13343, _u13342, _u13341, _u13340, _u13339, _u13338)), skolem334(_u13343, _u13342, _u13341, _u13340, _u13339, _u13338)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_mem__splitI2 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_mem__splitI2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13349), _u13350), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13347, _u13348, tc_fun(_u13349, tc_HOL_Obool)), _u13351), _u13346))) | ( _u13346 = hAPP(hAPP(c_Product__Type_OPair(_u13347, _u13348), skolem335(_u13351, _u13350, _u13349, _u13348, _u13347, _u13346)), skolem336(_u13351, _u13350, _u13349, _u13348, _u13347, _u13346))) )).
% 19.51/19.72 cnf(fact_mem__splitI2-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13349), _u13350), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13347, _u13348, tc_fun(_u13349, tc_HOL_Obool)), _u13351), _u13346))) | ~hBOOL(hAPP(hAPP(c_member(_u13349), _u13350), hAPP(hAPP(_u13351, skolem335(_u13351, _u13350, _u13349, _u13348, _u13347, _u13346)), skolem336(_u13351, _u13350, _u13349, _u13348, _u13347, _u13346)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_vimage__Times ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_vimage__Times-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13352, tc_prod(_u13353, _u13354), _u13355), hAPP(hAPP(c_Product__Type_OSigma(_u13353, _u13354), _u13356), hAPP(c_COMBK(tc_fun(_u13354, tc_HOL_Obool), _u13353), _u13357))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13352, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13352, _u13353, hAPP(c_Fun_Ocomp(tc_prod(_u13353, _u13354), _u13353, _u13352, c_Product__Type_Ofst(_u13353, _u13354)), _u13355)), _u13356)), hAPP(c_Set_Ovimage(_u13352, _u13354, hAPP(c_Fun_Ocomp(tc_prod(_u13353, _u13354), _u13354, _u13352, c_Product__Type_Osnd(_u13353, _u13354)), _u13355)), _u13357))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_o__id ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_o__id-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13358, _u13359, _u13358, _u13360), c_Fun_Oid(_u13358)) = _u13360) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_id__o ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_id__o-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13361, _u13361, _u13362, c_Fun_Oid(_u13361)), _u13363) = _u13363) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_o__eq__id__dest ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_o__eq__id__dest-1, axiom, ( ( hAPP(_u13367, hAPP(_u13368, _u13370)) = hAPP(_u13369, _u13370)) | ( hAPP(c_Fun_Ocomp(_u13364, _u13365, _u13366, _u13367), _u13368) != hAPP(c_Fun_Ocomp(_u13365, _u13365, _u13366, c_Fun_Oid(_u13365)), _u13369)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_o__eq__elim ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_o__eq__elim-1, axiom, ( ( hAPP(_u13375, hAPP(_u13376, _u13371)) = hAPP(_u13378, hAPP(_u13379, _u13371))) | ( hAPP(c_Fun_Ocomp(_u13372, _u13373, _u13374, _u13375), _u13376) != hAPP(c_Fun_Ocomp(_u13377, _u13373, _u13374, _u13378), _u13379)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_o__eq__dest ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_o__eq__dest-1, axiom, ( ( hAPP(_u13383, hAPP(_u13384, _u13388)) = hAPP(_u13386, hAPP(_u13387, _u13388))) | ( hAPP(c_Fun_Ocomp(_u13380, _u13381, _u13382, _u13383), _u13384) != hAPP(c_Fun_Ocomp(_u13385, _u13381, _u13382, _u13386), _u13387)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_o__apply ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_o__apply-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(_u13389, _u13390, _u13391, _u13392), _u13393), _u13394) = hAPP(_u13392, hAPP(_u13393, _u13394))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_o__assoc ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_o__assoc-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13395, _u13396, _u13397, _u13398), hAPP(c_Fun_Ocomp(_u13399, _u13395, _u13397, _u13400), _u13401)) = hAPP(c_Fun_Ocomp(_u13399, _u13396, _u13397, hAPP(c_Fun_Ocomp(_u13395, _u13396, _u13399, _u13398), _u13400)), _u13401)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_o__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_o__def-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(_u13402, _u13403, _u13404, _u13405), _u13406), _u13407) = hAPP(_u13405, hAPP(_u13406, _u13407))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_K__record__comp ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_K__record__comp-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(_u13408, _u13409, _u13410, hAPP(c_COMBK(_u13409, _u13408), _u13411)), _u13412), _u13413) = _u13411) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_fun__left__comm__idem_Ofun__comp__idem ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_fun__left__comm__idem_Ofun__comp__idem-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13415, _u13415, _u13415, hAPP(_u13416, _u13417)), hAPP(_u13416, _u13417)) = hAPP(_u13416, _u13417)) | ~c_Finite__Set_Ofun__left__comm__idem(_u13414, _u13415, _u13416) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_comp__cong ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_comp__cong-1, axiom, ( ( hAPP(_u13418, hAPP(_u13419, _u13420)) != hAPP(_u13421, hAPP(_u13422, _u13423))) | ( hAPP(hAPP(c_Fun_Ocomp(_u13424, _u13425, _u13426, _u13418), _u13419), _u13420) = hAPP(hAPP(c_Fun_Ocomp(_u13427, _u13425, _u13428, _u13421), _u13422), _u13423)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_fun__left__comm_Ofun__comp__comm ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_fun__left__comm_Ofun__comp__comm-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13430, _u13430, _u13430, hAPP(_u13431, _u13432)), hAPP(_u13431, _u13433)) = hAPP(c_Fun_Ocomp(_u13430, _u13430, _u13430, hAPP(_u13431, _u13433)), hAPP(_u13431, _u13432))) | ~c_Finite__Set_Ofun__left__comm(_u13429, _u13430, _u13431) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_o__eq__dest__lhs ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_o__eq__dest__lhs-1, axiom, ( ( hAPP(_u13437, hAPP(_u13438, _u13440)) = hAPP(_u13439, _u13440)) | ( hAPP(c_Fun_Ocomp(_u13434, _u13435, _u13436, _u13437), _u13438) != _u13439) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_apsnd__compose ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_apsnd__compose-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u13441, _u13442, _u13443, _u13444), hAPP(c_Product__Type_Oapsnd(_u13445, _u13441, _u13443, _u13446), _u13447)) = hAPP(c_Product__Type_Oapsnd(_u13445, _u13442, _u13443, hAPP(c_Fun_Ocomp(_u13441, _u13442, _u13445, _u13444), _u13446)), _u13447)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_apfst__compose ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_apfst__compose-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u13448, _u13449, _u13450, _u13451), hAPP(c_Product__Type_Oapfst(_u13452, _u13448, _u13450, _u13453), _u13454)) = hAPP(c_Product__Type_Oapfst(_u13452, _u13449, _u13450, hAPP(c_Fun_Ocomp(_u13448, _u13449, _u13452, _u13451), _u13453)), _u13454)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_fun__upd__comp ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_fun__upd__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13455, _u13456, _u13457, _u13458), c_Fun_Ofun__upd(_u13457, _u13455, _u13459, _u13460, _u13461)) = c_Fun_Ofun__upd(_u13457, _u13456, hAPP(c_Fun_Ocomp(_u13455, _u13456, _u13457, _u13458), _u13459), _u13460, hAPP(_u13458, _u13461))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_vimage__compose ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_vimage__compose-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13462, _u13463, hAPP(c_Fun_Ocomp(_u13464, _u13463, _u13462, _u13465), _u13466)), _u13467) = hAPP(c_Set_Ovimage(_u13462, _u13464, _u13466), hAPP(c_Set_Ovimage(_u13464, _u13463, _u13465), _u13467))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_map__pair_Ocomp ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_map__pair_Ocomp-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13468, _u13469), tc_prod(_u13470, _u13471), tc_prod(_u13472, _u13473), c_Product__Type_Omap__pair(_u13468, _u13470, _u13469, _u13471, _u13474, _u13475)), c_Product__Type_Omap__pair(_u13472, _u13468, _u13473, _u13469, _u13476, _u13477)) = c_Product__Type_Omap__pair(_u13472, _u13470, _u13473, _u13471, hAPP(c_Fun_Ocomp(_u13468, _u13470, _u13472, _u13474), _u13476), hAPP(c_Fun_Ocomp(_u13469, _u13471, _u13473, _u13475), _u13477))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_map__pair__compose ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_map__pair__compose-1, axiom, ( ( c_Product__Type_Omap__pair(_u13478, _u13479, _u13480, _u13481, hAPP(c_Fun_Ocomp(_u13482, _u13479, _u13478, _u13483), _u13484), hAPP(c_Fun_Ocomp(_u13485, _u13481, _u13480, _u13486), _u13487)) = hAPP(c_Fun_Ocomp(tc_prod(_u13482, _u13485), tc_prod(_u13479, _u13481), tc_prod(_u13478, _u13480), c_Product__Type_Omap__pair(_u13482, _u13479, _u13485, _u13481, _u13483, _u13486)), c_Product__Type_Omap__pair(_u13478, _u13482, _u13480, _u13485, _u13484, _u13487))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_map__pair_Ocompositionality ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_map__pair_Ocompositionality-1, axiom, ( ( hAPP(c_Product__Type_Omap__pair(_u13488, _u13489, _u13490, _u13491, _u13492, _u13493), hAPP(c_Product__Type_Omap__pair(_u13494, _u13488, _u13495, _u13490, _u13496, _u13497), _u13498)) = hAPP(c_Product__Type_Omap__pair(_u13494, _u13489, _u13495, _u13491, hAPP(c_Fun_Ocomp(_u13488, _u13489, _u13494, _u13492), _u13496), hAPP(c_Fun_Ocomp(_u13490, _u13491, _u13495, _u13493), _u13497)), _u13498)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_image__compose ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_image__compose-1, axiom, ( ( hAPP(c_Set_Oimage(_u13499, _u13500, hAPP(c_Fun_Ocomp(_u13501, _u13500, _u13499, _u13502), _u13503)), _u13504) = hAPP(c_Set_Oimage(_u13501, _u13500, _u13502), hAPP(c_Set_Oimage(_u13499, _u13501, _u13503), _u13504))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_comp__surj ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_comp__surj-1, axiom, ( ( hAPP(c_Set_Oimage(_u13505, _u13506, _u13507), c_Orderings_Otop__class_Otop(tc_fun(_u13505, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13506, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13506, _u13508, _u13509), c_Orderings_Otop__class_Otop(tc_fun(_u13506, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13508, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13505, _u13508, hAPP(c_Fun_Ocomp(_u13506, _u13508, _u13505, _u13509), _u13507)), c_Orderings_Otop__class_Otop(tc_fun(_u13505, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u13508, tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_inj__comp ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_inj__comp-1, axiom, ( ~c_Fun_Oinj__on(_u13510, _u13511, _u13512, c_Orderings_Otop__class_Otop(tc_fun(_u13510, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u13513, _u13510, _u13514, c_Orderings_Otop__class_Otop(tc_fun(_u13513, tc_HOL_Obool))) | c_Fun_Oinj__on(_u13513, _u13511, hAPP(c_Fun_Ocomp(_u13510, _u13511, _u13513, _u13512), _u13514), c_Orderings_Otop__class_Otop(tc_fun(_u13513, tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_inj__on__imageI2 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_inj__on__imageI2-1, axiom, ( ~c_Fun_Oinj__on(_u13515, _u13516, hAPP(c_Fun_Ocomp(_u13517, _u13516, _u13515, _u13518), _u13519), _u13520) | c_Fun_Oinj__on(_u13515, _u13517, _u13519, _u13520) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_inj__on__imageI ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_inj__on__imageI-1, axiom, ( ~c_Fun_Oinj__on(_u13521, _u13522, hAPP(c_Fun_Ocomp(_u13523, _u13522, _u13521, _u13524), _u13525), _u13526) | c_Fun_Oinj__on(_u13523, _u13522, _u13524, hAPP(c_Set_Oimage(_u13521, _u13523, _u13525), _u13526)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_comp__inj__on ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_comp__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u13527, _u13528, _u13529, _u13530) | ~c_Fun_Oinj__on(_u13528, _u13531, _u13532, hAPP(c_Set_Oimage(_u13527, _u13528, _u13529), _u13530)) | c_Fun_Oinj__on(_u13527, _u13531, hAPP(c_Fun_Ocomp(_u13528, _u13531, _u13527, _u13532), _u13529), _u13530) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_comp__inj__on__iff ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_comp__inj__on__iff-1, axiom, ( ~c_Fun_Oinj__on(_u13533, _u13534, _u13535, _u13536) | ~c_Fun_Oinj__on(_u13534, _u13537, _u13538, hAPP(c_Set_Oimage(_u13533, _u13534, _u13535), _u13536)) | c_Fun_Oinj__on(_u13533, _u13537, hAPP(c_Fun_Ocomp(_u13534, _u13537, _u13533, _u13538), _u13535), _u13536) )).
% 19.51/19.72 cnf(fact_comp__inj__on__iff-2, axiom, ( ~c_Fun_Oinj__on(_u13533, _u13534, _u13535, _u13536) | ~c_Fun_Oinj__on(_u13533, _u13537, hAPP(c_Fun_Ocomp(_u13534, _u13537, _u13533, _u13538), _u13535), _u13536) | c_Fun_Oinj__on(_u13534, _u13537, _u13538, hAPP(c_Set_Oimage(_u13533, _u13534, _u13535), _u13536)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_setsum__reindex ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_setsum__reindex-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13539) | ~c_Fun_Oinj__on(_u13540, _u13541, _u13542, _u13543) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13541, _u13539), _u13544), hAPP(c_Set_Oimage(_u13540, _u13541, _u13542), _u13543)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13540, _u13539), hAPP(c_Fun_Ocomp(_u13541, _u13539, _u13540, _u13544), _u13542)), _u13543)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_setprod__reindex__cong ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_setprod__reindex__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13545) | ~c_Fun_Oinj__on(_u13546, _u13547, _u13548, _u13549) | ( _u13550 != hAPP(c_Set_Oimage(_u13546, _u13547, _u13548), _u13549)) | ( _u13551 != hAPP(c_Fun_Ocomp(_u13547, _u13545, _u13546, _u13552), _u13548)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13547, _u13545), _u13552), _u13550) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13546, _u13545), _u13551), _u13549)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_setprod__reindex ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_setprod__reindex-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13553) | ~c_Fun_Oinj__on(_u13554, _u13555, _u13556, _u13557) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13555, _u13553), _u13558), hAPP(c_Set_Oimage(_u13554, _u13555, _u13556), _u13557)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13554, _u13553), hAPP(c_Fun_Ocomp(_u13555, _u13553, _u13554, _u13558), _u13556)), _u13557)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_setsum_Oreindex ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_setsum_Oreindex-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13559) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13560), _u13561)) | ~c_Fun_Oinj__on(_u13560, _u13560, _u13562, _u13561) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13560, _u13559), _u13563), hAPP(c_Set_Oimage(_u13560, _u13560, _u13562), _u13561)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13560, _u13559), hAPP(c_Fun_Ocomp(_u13560, _u13559, _u13560, _u13563), _u13562)), _u13561)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_setprod_Oreindex ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_setprod_Oreindex-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13564) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13565), _u13566)) | ~c_Fun_Oinj__on(_u13565, _u13565, _u13567, _u13566) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13565, _u13564), _u13568), hAPP(c_Set_Oimage(_u13565, _u13565, _u13567), _u13566)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13565, _u13564), hAPP(c_Fun_Ocomp(_u13565, _u13564, _u13565, _u13568), _u13567)), _u13566)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_the__inv__into__comp ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_the__inv__into__comp-1, axiom, ( ~c_Fun_Oinj__on(_u13569, _u13570, _u13571, hAPP(c_Set_Oimage(_u13572, _u13569, _u13573), _u13574)) | ~c_Fun_Oinj__on(_u13572, _u13569, _u13573, _u13574) | ~hBOOL(hAPP(hAPP(c_member(_u13570), _u13575), hAPP(c_Set_Oimage(_u13569, _u13570, _u13571), hAPP(c_Set_Oimage(_u13572, _u13569, _u13573), _u13574)))) | ( hAPP(c_Fun_Othe__inv__into(_u13572, _u13570, _u13574, hAPP(c_Fun_Ocomp(_u13569, _u13570, _u13572, _u13571), _u13573)), _u13575) = hAPP(hAPP(c_Fun_Ocomp(_u13569, _u13572, _u13570, c_Fun_Othe__inv__into(_u13572, _u13569, _u13574, _u13573)), c_Fun_Othe__inv__into(_u13569, _u13570, hAPP(c_Set_Oimage(_u13572, _u13569, _u13573), _u13574), _u13571)), _u13575)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_fold__image__reindex ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_fold__image__reindex-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u13576) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13577), _u13578)) | ~c_Fun_Oinj__on(_u13577, _u13579, _u13580, _u13578) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13576, _u13579, c_Groups_Otimes__class_Otimes(_u13576)), _u13581), _u13582), hAPP(c_Set_Oimage(_u13577, _u13579, _u13580), _u13578)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13576, _u13577, c_Groups_Otimes__class_Otimes(_u13576)), hAPP(c_Fun_Ocomp(_u13579, _u13576, _u13577, _u13581), _u13580)), _u13582), _u13578)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_folding_Oremove ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_folding_Oremove-1, axiom, ( ~c_Finite__Set_Ofolding(_u13583, _u13584, _u13585, _u13586) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13583), _u13587)) | ~hBOOL(hAPP(hAPP(c_member(_u13583), _u13588), _u13587)) | ( hAPP(_u13586, _u13587) = hAPP(c_Fun_Ocomp(_u13584, _u13584, _u13584, hAPP(_u13586, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13583, tc_HOL_Obool)), _u13587), hAPP(hAPP(c_Set_Oinsert(_u13583), _u13588), c_Orderings_Obot__class_Obot(tc_fun(_u13583, tc_HOL_Obool)))))), hAPP(_u13585, _u13588))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_folding__image_Oreindex ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_folding__image_Oreindex-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u13589, _u13590, _u13591, _u13592, _u13593) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13590), _u13594)) | ~c_Fun_Oinj__on(_u13590, _u13590, _u13595, _u13594) | ( hAPP(hAPP(_u13593, _u13596), hAPP(c_Set_Oimage(_u13590, _u13590, _u13595), _u13594)) = hAPP(hAPP(_u13593, hAPP(c_Fun_Ocomp(_u13590, _u13589, _u13590, _u13596), _u13595)), _u13594)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_folding_Ounion ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_folding_Ounion-1, axiom, ( ~c_Finite__Set_Ofolding(_u13597, _u13598, _u13599, _u13600) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13597), _u13601)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13597), _u13602)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13597, tc_HOL_Obool)), _u13601), _u13602) != c_Orderings_Obot__class_Obot(tc_fun(_u13597, tc_HOL_Obool))) | ( hAPP(_u13600, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13597, tc_HOL_Obool)), _u13601), _u13602)) = hAPP(c_Fun_Ocomp(_u13598, _u13598, _u13598, hAPP(_u13600, _u13601)), hAPP(_u13600, _u13602))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_folding_Ocommute__left__comp ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_folding_Ocommute__left__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13604, _u13604, _u13607, hAPP(_u13605, _u13608)), hAPP(c_Fun_Ocomp(_u13604, _u13604, _u13607, hAPP(_u13605, _u13609)), _u13610)) = hAPP(c_Fun_Ocomp(_u13604, _u13604, _u13607, hAPP(_u13605, _u13609)), hAPP(c_Fun_Ocomp(_u13604, _u13604, _u13607, hAPP(_u13605, _u13608)), _u13610))) | ~c_Finite__Set_Ofolding(_u13603, _u13604, _u13605, _u13606) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_folding_Ocommute__comp ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_folding_Ocommute__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13612, _u13612, _u13612, hAPP(_u13613, _u13615)), hAPP(_u13613, _u13616)) = hAPP(c_Fun_Ocomp(_u13612, _u13612, _u13612, hAPP(_u13613, _u13616)), hAPP(_u13613, _u13615))) | ~c_Finite__Set_Ofolding(_u13611, _u13612, _u13613, _u13614) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_folding_Ocommute__comps_I1_J ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_folding_Ocommute__comps_I1_J-1, axiom, ( ~c_Finite__Set_Ofolding(_u13617, _u13618, _u13619, _u13620) | ( hAPP(c_Fun_Ocomp(_u13621, _u13622, _u13623, _u13624), hAPP(c_Fun_Ocomp(_u13625, _u13621, _u13623, _u13626), _u13627)) = hAPP(c_Fun_Ocomp(_u13625, _u13622, _u13623, hAPP(c_Fun_Ocomp(_u13621, _u13622, _u13625, _u13624), _u13626)), _u13627)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_UN__o ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_UN__o-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13628, tc_fun(_u13629, tc_HOL_Obool)), _u13630), hAPP(c_Fun_Ocomp(_u13631, tc_fun(_u13629, tc_HOL_Obool), _u13628, _u13632), _u13633)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13631, tc_fun(_u13629, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13628, _u13631, _u13633), _u13630)), _u13632)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_fst__comp__map__pair ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_fst__comp__map__pair-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13634, _u13635), _u13634, tc_prod(_u13636, _u13637), c_Product__Type_Ofst(_u13634, _u13635)), c_Product__Type_Omap__pair(_u13636, _u13634, _u13637, _u13635, _u13638, _u13639)) = hAPP(c_Fun_Ocomp(_u13636, _u13634, tc_prod(_u13636, _u13637), _u13638), c_Product__Type_Ofst(_u13636, _u13637))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_snd__comp__map__pair ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_snd__comp__map__pair-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13640, _u13641), _u13641, tc_prod(_u13642, _u13643), c_Product__Type_Osnd(_u13640, _u13641)), c_Product__Type_Omap__pair(_u13642, _u13640, _u13643, _u13641, _u13644, _u13645)) = hAPP(c_Fun_Ocomp(_u13643, _u13641, tc_prod(_u13642, _u13643), _u13645), c_Product__Type_Osnd(_u13642, _u13643))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_folding__image_Odistrib ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_folding__image_Odistrib-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u13646, _u13647, _u13648, _u13649, _u13650) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13647), _u13651)) | ( hAPP(hAPP(_u13650, hAPP(hAPP(c_COMBS(_u13647, _u13646, _u13646), hAPP(hAPP(c_COMBB(_u13646, tc_fun(_u13646, _u13646), _u13647), _u13648), _u13652)), _u13653)), _u13651) = hAPP(hAPP(_u13648, hAPP(hAPP(_u13650, _u13652), _u13651)), hAPP(hAPP(_u13650, _u13653), _u13651))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_split__comp ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_split__comp-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13654, _u13655, _u13656), hAPP(c_Fun_Ocomp(_u13657, tc_fun(_u13655, _u13656), _u13654, _u13658), _u13659)), _u13660) = hAPP(hAPP(_u13658, hAPP(_u13659, hAPP(c_Product__Type_Ofst(_u13654, _u13655), _u13660))), hAPP(c_Product__Type_Osnd(_u13654, _u13655), _u13660))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_folding_Ocommute__comp_H ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_folding_Ocommute__comp_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u13661, _u13662, _u13663, _u13664) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13661), _u13665)) | ( hAPP(c_Fun_Ocomp(_u13662, _u13662, _u13662, hAPP(_u13663, _u13666)), hAPP(_u13664, _u13665)) = hAPP(c_Fun_Ocomp(_u13662, _u13662, _u13662, hAPP(_u13664, _u13665)), hAPP(_u13663, _u13666))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_folding_Ocommute__left__comp_H ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_folding_Ocommute__left__comp_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u13667, _u13668, _u13669, _u13670) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13667), _u13671)) | ( hAPP(c_Fun_Ocomp(_u13668, _u13668, _u13672, hAPP(_u13669, _u13673)), hAPP(c_Fun_Ocomp(_u13668, _u13668, _u13672, hAPP(_u13670, _u13671)), _u13674)) = hAPP(c_Fun_Ocomp(_u13668, _u13668, _u13672, hAPP(_u13670, _u13671)), hAPP(c_Fun_Ocomp(_u13668, _u13668, _u13672, hAPP(_u13669, _u13673)), _u13674))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_folding_Ocommute__comp_H_H ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_folding_Ocommute__comp_H_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u13675, _u13676, _u13677, _u13678) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13675), _u13679)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13675), _u13680)) | ( hAPP(c_Fun_Ocomp(_u13676, _u13676, _u13676, hAPP(_u13678, _u13680)), hAPP(_u13678, _u13679)) = hAPP(c_Fun_Ocomp(_u13676, _u13676, _u13676, hAPP(_u13678, _u13679)), hAPP(_u13678, _u13680))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_folding_Ocommute__left__comp_H_H ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_folding_Ocommute__left__comp_H_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u13681, _u13682, _u13683, _u13684) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13681), _u13685)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13681), _u13686)) | ( hAPP(c_Fun_Ocomp(_u13682, _u13682, _u13687, hAPP(_u13684, _u13686)), hAPP(c_Fun_Ocomp(_u13682, _u13682, _u13687, hAPP(_u13684, _u13685)), _u13688)) = hAPP(c_Fun_Ocomp(_u13682, _u13682, _u13687, hAPP(_u13684, _u13685)), hAPP(c_Fun_Ocomp(_u13682, _u13682, _u13687, hAPP(_u13684, _u13686)), _u13688))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_folding_Oempty ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_folding_Oempty-1, axiom, ( ~c_Finite__Set_Ofolding(_u13689, _u13690, _u13691, _u13692) | ( hAPP(_u13692, c_Orderings_Obot__class_Obot(tc_fun(_u13689, tc_HOL_Obool))) = c_Fun_Oid(_u13690)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_folding_Oeq__fold ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_folding_Oeq__fold-1, axiom, ( ~c_Finite__Set_Ofolding(_u13693, _u13694, _u13695, _u13696) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13693), _u13697)) | ( hAPP(hAPP(_u13696, _u13697), _u13698) = hAPP(hAPP(c_Finite__Set_Ofold(_u13693, _u13694, _u13695), _u13698), _u13697)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_folding__image_Oeq__fold ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_folding__image_Oeq__fold-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u13699, _u13700, _u13701, _u13702, _u13703) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13700), _u13704)) | ( hAPP(hAPP(_u13703, _u13705), _u13704) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13699, _u13700, _u13701), _u13705), _u13702), _u13704)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_folding_Oinsert ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_folding_Oinsert-1, axiom, ( ~c_Finite__Set_Ofolding(_u13706, _u13707, _u13708, _u13709) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13706), _u13710)) | hBOOL(hAPP(hAPP(c_member(_u13706), _u13711), _u13710)) | ( hAPP(_u13709, hAPP(hAPP(c_Set_Oinsert(_u13706), _u13711), _u13710)) = hAPP(c_Fun_Ocomp(_u13707, _u13707, _u13707, hAPP(_u13709, _u13710)), hAPP(_u13708, _u13711))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_folding_Ounion__inter ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_folding_Ounion__inter-1, axiom, ( ~c_Finite__Set_Ofolding(_u13712, _u13713, _u13714, _u13715) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13712), _u13716)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13712), _u13717)) | ( hAPP(c_Fun_Ocomp(_u13713, _u13713, _u13713, hAPP(_u13715, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13712, tc_HOL_Obool)), _u13716), _u13717))), hAPP(_u13715, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13712, tc_HOL_Obool)), _u13716), _u13717))) = hAPP(c_Fun_Ocomp(_u13713, _u13713, _u13713, hAPP(_u13715, _u13716)), hAPP(_u13715, _u13717))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_folding_Oinsert__remove ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_folding_Oinsert__remove-1, axiom, ( ~c_Finite__Set_Ofolding(_u13718, _u13719, _u13720, _u13721) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13718), _u13722)) | ( hAPP(_u13721, hAPP(hAPP(c_Set_Oinsert(_u13718), _u13723), _u13722)) = hAPP(c_Fun_Ocomp(_u13719, _u13719, _u13719, hAPP(_u13721, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13718, tc_HOL_Obool)), _u13722), hAPP(hAPP(c_Set_Oinsert(_u13718), _u13723), c_Orderings_Obot__class_Obot(tc_fun(_u13718, tc_HOL_Obool)))))), hAPP(_u13720, _u13723))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_setsum__reindex__nonzero ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_setsum__reindex__nonzero-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13726) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13727), _u13728)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13731, _u13726), _u13730), hAPP(c_Set_Oimage(_u13727, _u13731, _u13729), _u13728)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13727, _u13726), hAPP(c_Fun_Ocomp(_u13731, _u13726, _u13727, _u13730), _u13729)), _u13728)) | hBOOL(hAPP(hAPP(c_member(_u13727), skolem337(_u13731, _u13730, _u13729, _u13728, _u13727, _u13726)), _u13728)) )).
% 19.51/19.72 cnf(fact_setsum__reindex__nonzero-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13726) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13727), _u13728)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13731, _u13726), _u13730), hAPP(c_Set_Oimage(_u13727, _u13731, _u13729), _u13728)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13727, _u13726), hAPP(c_Fun_Ocomp(_u13731, _u13726, _u13727, _u13730), _u13729)), _u13728)) | hBOOL(hAPP(hAPP(c_member(_u13727), skolem338(_u13731, _u13730, _u13729, _u13728, _u13727, _u13726)), _u13728)) )).
% 19.51/19.72 cnf(fact_setsum__reindex__nonzero-3, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13726) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13727), _u13728)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13731, _u13726), _u13730), hAPP(c_Set_Oimage(_u13727, _u13731, _u13729), _u13728)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13727, _u13726), hAPP(c_Fun_Ocomp(_u13731, _u13726, _u13727, _u13730), _u13729)), _u13728)) | ( skolem337(_u13731, _u13730, _u13729, _u13728, _u13727, _u13726) != skolem338(_u13731, _u13730, _u13729, _u13728, _u13727, _u13726)) )).
% 19.51/19.72 cnf(fact_setsum__reindex__nonzero-4, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13726) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13727), _u13728)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13731, _u13726), _u13730), hAPP(c_Set_Oimage(_u13727, _u13731, _u13729), _u13728)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13727, _u13726), hAPP(c_Fun_Ocomp(_u13731, _u13726, _u13727, _u13730), _u13729)), _u13728)) | ( hAPP(_u13729, skolem337(_u13731, _u13730, _u13729, _u13728, _u13727, _u13726)) = hAPP(_u13729, skolem338(_u13731, _u13730, _u13729, _u13728, _u13727, _u13726))) )).
% 19.51/19.72 cnf(fact_setsum__reindex__nonzero-5, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13726) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13727), _u13728)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13731, _u13726), _u13730), hAPP(c_Set_Oimage(_u13727, _u13731, _u13729), _u13728)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13727, _u13726), hAPP(c_Fun_Ocomp(_u13731, _u13726, _u13727, _u13730), _u13729)), _u13728)) | ( hAPP(_u13730, hAPP(_u13729, skolem337(_u13731, _u13730, _u13729, _u13728, _u13727, _u13726))) != c_Groups_Ozero__class_Ozero(_u13726)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_folding__idem_Ounion__idem ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_folding__idem_Ounion__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u13732, _u13733, _u13734, _u13735) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13732), _u13736)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13732), _u13737)) | ( hAPP(_u13735, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13732, tc_HOL_Obool)), _u13736), _u13737)) = hAPP(c_Fun_Ocomp(_u13733, _u13733, _u13733, hAPP(_u13735, _u13736)), hAPP(_u13735, _u13737))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_folding__idem_Osubset__comp__idem ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_folding__idem_Osubset__comp__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u13738, _u13739, _u13740, _u13741) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13738), _u13742)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13738, tc_HOL_Obool)), _u13743), _u13742)) | ( hAPP(c_Fun_Ocomp(_u13739, _u13739, _u13739, hAPP(_u13741, _u13742)), hAPP(_u13741, _u13743)) = hAPP(_u13741, _u13742)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_folding__idem_Oidem__left__comp ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_folding__idem_Oidem__left__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13745, _u13745, _u13748, hAPP(_u13746, _u13749)), hAPP(c_Fun_Ocomp(_u13745, _u13745, _u13748, hAPP(_u13746, _u13749)), _u13750)) = hAPP(c_Fun_Ocomp(_u13745, _u13745, _u13748, hAPP(_u13746, _u13749)), _u13750)) | ~c_Finite__Set_Ofolding__idem(_u13744, _u13745, _u13746, _u13747) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_folding__idem_Oidem__comp ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_folding__idem_Oidem__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13752, _u13752, _u13752, hAPP(_u13753, _u13755)), hAPP(_u13753, _u13755)) = hAPP(_u13753, _u13755)) | ~c_Finite__Set_Ofolding__idem(_u13751, _u13752, _u13753, _u13754) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_folding__idem_Oin__comp__idem ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_folding__idem_Oin__comp__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u13756, _u13757, _u13758, _u13759) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13756), _u13760)) | ~hBOOL(hAPP(hAPP(c_member(_u13756), _u13761), _u13760)) | ( hAPP(c_Fun_Ocomp(_u13757, _u13757, _u13757, hAPP(_u13759, _u13760)), hAPP(_u13758, _u13761)) = hAPP(_u13759, _u13760)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_folding__idem_Oinsert__idem ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_folding__idem_Oinsert__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u13762, _u13763, _u13764, _u13765) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13762), _u13766)) | ( hAPP(_u13765, hAPP(hAPP(c_Set_Oinsert(_u13762), _u13767), _u13766)) = hAPP(c_Fun_Ocomp(_u13763, _u13763, _u13763, hAPP(_u13765, _u13766)), hAPP(_u13764, _u13767))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_strong__setprod__reindex__cong ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_strong__setprod__reindex__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13769) | ~c_Fun_Oinj__on(_u13770, _u13771, _u13772, _u13773) | ( _u13774 != hAPP(c_Set_Oimage(_u13770, _u13771, _u13772), _u13773)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13771, _u13769), _u13776), _u13774) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13770, _u13769), _u13775), _u13773)) | hBOOL(hAPP(hAPP(c_member(_u13770), skolem339(_u13776, _u13775, _u13774, _u13773, _u13772, _u13771, _u13770, _u13769)), _u13773)) )).
% 19.51/19.72 cnf(fact_strong__setprod__reindex__cong-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13769) | ~c_Fun_Oinj__on(_u13770, _u13771, _u13772, _u13773) | ( _u13774 != hAPP(c_Set_Oimage(_u13770, _u13771, _u13772), _u13773)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13771, _u13769), _u13776), _u13774) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13770, _u13769), _u13775), _u13773)) | ( hAPP(_u13775, skolem339(_u13776, _u13775, _u13774, _u13773, _u13772, _u13771, _u13770, _u13769)) != hAPP(hAPP(c_Fun_Ocomp(_u13771, _u13769, _u13770, _u13776), _u13772), skolem339(_u13776, _u13775, _u13774, _u13773, _u13772, _u13771, _u13770, _u13769))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Eps__split ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Eps__split-1, axiom, ( ( c_Hilbert__Choice_OEps(tc_prod(_u13777, _u13778), hAPP(c_Product__Type_Oprod_Oprod__case(_u13777, _u13778, tc_HOL_Obool), _u13779)) = c_Hilbert__Choice_OEps(tc_prod(_u13777, _u13778), hAPP(hAPP(c_COMBS(tc_prod(_u13777, _u13778), _u13778, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u13777, tc_fun(_u13778, tc_HOL_Obool), tc_prod(_u13777, _u13778)), _u13779), c_Product__Type_Ofst(_u13777, _u13778))), c_Product__Type_Osnd(_u13777, _u13778)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wfI__pf ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wfI__pf-1, axiom, ( c_Wellfounded_Owf(_u13781, _u13782) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13781, tc_HOL_Obool)), skolem340(_u13782, _u13781)), hAPP(c_Relation_OImage(_u13781, _u13781, _u13782), skolem340(_u13782, _u13781)))) )).
% 19.51/19.72 cnf(fact_wfI__pf-2, axiom, ( c_Wellfounded_Owf(_u13781, _u13782) | ( skolem340(_u13782, _u13781) != c_Orderings_Obot__class_Obot(tc_fun(_u13781, tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_tfl__some ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_tfl__some-1, axiom, ( ~hBOOL(hAPP(_u13784, _u13783)) | hBOOL(hAPP(_u13784, c_Hilbert__Choice_OEps(_u13785, _u13784))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_someI ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_someI-1, axiom, ( ~hBOOL(hAPP(_u13786, _u13787)) | hBOOL(hAPP(_u13786, c_Hilbert__Choice_OEps(_u13788, _u13786))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_some__sym__eq__trivial ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_some__sym__eq__trivial-1, axiom, ( ( c_Hilbert__Choice_OEps(_u13789, hAPP(c_fequal, _u13790)) = _u13790) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_some__eq__trivial ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_some__eq__trivial-1, axiom, ( ( c_Hilbert__Choice_OEps(_u13791, hAPP(hAPP(c_COMBC(_u13791, _u13791, tc_HOL_Obool), c_fequal), _u13792)) = _u13792) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_some__eq__ex ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_some__eq__ex-1, axiom, ( ~hBOOL(hAPP(_u13797, c_Hilbert__Choice_OEps(_u13799, _u13797))) | hBOOL(hAPP(_u13797, skolem341(_u13799, _u13797))) )).
% 19.51/19.72 cnf(fact_some__eq__ex-2, axiom, ( ~hBOOL(hAPP(_u13798, _u13794)) | hBOOL(hAPP(_u13798, c_Hilbert__Choice_OEps(_u13800, _u13798))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_someI__ex ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_someI__ex-1, axiom, ( ~hBOOL(hAPP(_u13802, _u13801)) | hBOOL(hAPP(_u13802, c_Hilbert__Choice_OEps(_u13803, _u13802))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_exE__some ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_exE__some-1, axiom, ( ~hBOOL(hAPP(_u13805, _u13804)) | ( _u13806 != c_Hilbert__Choice_OEps(_u13807, _u13805)) | hBOOL(hAPP(_u13805, _u13806)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_split__paired__Eps ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_split__paired__Eps-1, axiom, ( ( c_Hilbert__Choice_OEps(tc_prod(_u13808, _u13809), _u13810) = c_Hilbert__Choice_OEps(tc_prod(_u13808, _u13809), hAPP(c_Product__Type_Oprod_Oprod__case(_u13808, _u13809, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13809, tc_prod(_u13808, _u13809)), tc_fun(_u13809, tc_HOL_Obool), _u13808), hAPP(c_COMBB(tc_prod(_u13808, _u13809), tc_HOL_Obool, _u13809), _u13810)), c_Product__Type_OPair(_u13808, _u13809))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Eps__split__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Eps__split__eq-1, axiom, ( ( c_Hilbert__Choice_OEps(tc_prod(_u13811, _u13812), hAPP(c_Product__Type_Oprod_Oprod__case(_u13811, _u13812, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13811, tc_fun(_u13812, tc_HOL_Obool), tc_fun(_u13812, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13812, tc_HOL_Obool), tc_fun(_u13812, tc_HOL_Obool)), _u13811), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13812)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13811), c_fconj), hAPP(c_fequal, _u13813)))), hAPP(c_fequal, _u13814)))) = hAPP(hAPP(c_Product__Type_OPair(_u13811, _u13812), _u13813), _u13814)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Sigma__mono ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Sigma__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13816, tc_HOL_Obool)), _u13817), _u13818)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13816, _u13819), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13816, _u13819), _u13817), _u13820)), hAPP(hAPP(c_Product__Type_OSigma(_u13816, _u13819), _u13818), _u13821))) | hBOOL(hAPP(hAPP(c_member(_u13816), skolem342(_u13821, _u13820, _u13819, _u13818, _u13817, _u13816)), _u13817)) )).
% 19.51/19.72 cnf(fact_Sigma__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13816, tc_HOL_Obool)), _u13817), _u13818)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13816, _u13819), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13816, _u13819), _u13817), _u13820)), hAPP(hAPP(c_Product__Type_OSigma(_u13816, _u13819), _u13818), _u13821))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13819, tc_HOL_Obool)), hAPP(_u13820, skolem342(_u13821, _u13820, _u13819, _u13818, _u13817, _u13816))), hAPP(_u13821, skolem342(_u13821, _u13820, _u13819, _u13818, _u13817, _u13816)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_not__acc__down ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_not__acc__down-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13823), _u13824), c_Wellfounded_Oacc(_u13823, _u13825))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13823, _u13823)), hAPP(hAPP(c_Product__Type_OPair(_u13823, _u13823), skolem343(_u13825, _u13824, _u13823)), _u13824)), _u13825)) )).
% 19.51/19.72 cnf(fact_not__acc__down-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13823), _u13824), c_Wellfounded_Oacc(_u13823, _u13825))) | ~hBOOL(hAPP(hAPP(c_member(_u13823), skolem343(_u13825, _u13824, _u13823)), c_Wellfounded_Oacc(_u13823, _u13825))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_acc_OaccI ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_acc_OaccI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13827), _u13828), c_Wellfounded_Oacc(_u13827, _u13829))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13827, _u13827)), hAPP(hAPP(c_Product__Type_OPair(_u13827, _u13827), skolem344(_u13829, _u13828, _u13827)), _u13828)), _u13829)) )).
% 19.51/19.72 cnf(fact_acc_OaccI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13827), _u13828), c_Wellfounded_Oacc(_u13827, _u13829))) | ~hBOOL(hAPP(hAPP(c_member(_u13827), skolem344(_u13829, _u13828, _u13827)), c_Wellfounded_Oacc(_u13827, _u13829))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_max__ext_Osimps ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_max__ext_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13838, tc_HOL_Obool), tc_fun(_u13838, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13838, tc_HOL_Obool), tc_fun(_u13838, tc_HOL_Obool)), _u13840), _u13842)), c_Wellfounded_Omax__ext(_u13838, _u13844))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13838), _u13840)) )).
% 19.51/19.72 cnf(fact_max__ext_Osimps-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13838, tc_HOL_Obool), tc_fun(_u13838, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13838, tc_HOL_Obool), tc_fun(_u13838, tc_HOL_Obool)), _u13840), _u13842)), c_Wellfounded_Omax__ext(_u13838, _u13844))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13838), _u13842)) )).
% 19.51/19.72 cnf(fact_max__ext_Osimps-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13838, tc_HOL_Obool), tc_fun(_u13838, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13838, tc_HOL_Obool), tc_fun(_u13838, tc_HOL_Obool)), _u13840), _u13842)), c_Wellfounded_Omax__ext(_u13838, _u13844))) | ( _u13842 != c_Orderings_Obot__class_Obot(tc_fun(_u13838, tc_HOL_Obool))) )).
% 19.51/19.72 cnf(fact_max__ext_Osimps-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13838, tc_HOL_Obool), tc_fun(_u13838, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13838, tc_HOL_Obool), tc_fun(_u13838, tc_HOL_Obool)), _u13840), _u13842)), c_Wellfounded_Omax__ext(_u13838, _u13844))) | ~hBOOL(hAPP(hAPP(c_member(_u13838), _u13831), _u13840)) | hBOOL(hAPP(hAPP(c_member(_u13838), skolem345(_u13844, _u13842, _u13840, _u13838, _u13831)), _u13842)) )).
% 19.51/19.72 cnf(fact_max__ext_Osimps-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13838, tc_HOL_Obool), tc_fun(_u13838, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13838, tc_HOL_Obool), tc_fun(_u13838, tc_HOL_Obool)), _u13840), _u13842)), c_Wellfounded_Omax__ext(_u13838, _u13844))) | ~hBOOL(hAPP(hAPP(c_member(_u13838), _u13831), _u13840)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13838, _u13838)), hAPP(hAPP(c_Product__Type_OPair(_u13838, _u13838), _u13831), skolem345(_u13844, _u13842, _u13840, _u13838, _u13831))), _u13844)) )).
% 19.51/19.72 cnf(fact_max__ext_Osimps-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13839, tc_HOL_Obool), tc_fun(_u13839, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13839, tc_HOL_Obool), tc_fun(_u13839, tc_HOL_Obool)), _u13841), _u13843)), c_Wellfounded_Omax__ext(_u13839, _u13845))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13839), _u13841)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13839), _u13843)) | ( _u13843 = c_Orderings_Obot__class_Obot(tc_fun(_u13839, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u13839), skolem346(_u13845, _u13843, _u13841, _u13839)), _u13841)) )).
% 19.51/19.72 cnf(fact_max__ext_Osimps-7, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13839, tc_HOL_Obool), tc_fun(_u13839, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13839, tc_HOL_Obool), tc_fun(_u13839, tc_HOL_Obool)), _u13841), _u13843)), c_Wellfounded_Omax__ext(_u13839, _u13845))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13839), _u13841)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13839), _u13843)) | ( _u13843 = c_Orderings_Obot__class_Obot(tc_fun(_u13839, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u13839), _u13832), _u13843)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13839, _u13839)), hAPP(hAPP(c_Product__Type_OPair(_u13839, _u13839), skolem346(_u13845, _u13843, _u13841, _u13839)), _u13832)), _u13845)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_min__max_Ofold__sup__le__sup ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_min__max_Ofold__sup__le__sup-1, axiom, ( ~class_Orderings_Olinorder(_u13847) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13847), _u13848)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13847), hAPP(hAPP(c_Finite__Set_Ofold(_u13847, _u13847, c_Orderings_Oord__class_Omax(_u13847)), _u13850), _u13848)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u13847), _u13849), _u13850))) | hBOOL(hAPP(hAPP(c_member(_u13847), skolem347(_u13850, _u13849, _u13848, _u13847)), _u13848)) )).
% 19.51/19.72 cnf(fact_min__max_Ofold__sup__le__sup-2, axiom, ( ~class_Orderings_Olinorder(_u13847) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13847), _u13848)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13847), hAPP(hAPP(c_Finite__Set_Ofold(_u13847, _u13847, c_Orderings_Oord__class_Omax(_u13847)), _u13850), _u13848)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u13847), _u13849), _u13850))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13847), skolem347(_u13850, _u13849, _u13848, _u13847)), _u13849)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Max__eqI ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Max__eqI-1, axiom, ( ~class_Orderings_Olinorder(_u13852) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13852), _u13853)) | ~hBOOL(hAPP(hAPP(c_member(_u13852), _u13854), _u13853)) | ( c_Big__Operators_Olinorder__class_OMax(_u13852, _u13853) = _u13854) | hBOOL(hAPP(hAPP(c_member(_u13852), skolem348(_u13854, _u13853, _u13852)), _u13853)) )).
% 19.51/19.72 cnf(fact_Max__eqI-2, axiom, ( ~class_Orderings_Olinorder(_u13852) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13852), _u13853)) | ~hBOOL(hAPP(hAPP(c_member(_u13852), _u13854), _u13853)) | ( c_Big__Operators_Olinorder__class_OMax(_u13852, _u13853) = _u13854) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13852), skolem348(_u13854, _u13853, _u13852)), _u13854)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__no__infinite__down__chainE ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__no__infinite__down__chainE-1, axiom, ( ~c_Wellfounded_Owf(_u13856, _u13857) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13856, _u13856)), hAPP(hAPP(c_Product__Type_OPair(_u13856, _u13856), hAPP(_u13858, hAPP(c_Nat_OSuc, skolem349(_u13858, _u13857, _u13856)))), hAPP(_u13858, skolem349(_u13858, _u13857, _u13856)))), _u13857)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_iterate_Osimps ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_iterate_Osimps-1, axiom, ( ( _u13864 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u13866, _u13868, _u13864, _u13870), _u13872) = hAPP(c_Product__Type_OPair(_u13866, _u13868), _u13872)) )).
% 19.51/19.72 cnf(fact_iterate_Osimps-2, axiom, ( ( _u13865 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u13867, _u13869, _u13865, _u13871), _u13873) = hAPP(hAPP(c_Product__Type_Oscomp(_u13869, _u13867, _u13869, tc_prod(_u13867, _u13869)), hAPP(_u13871, _u13873)), c_Random_Oiterate(_u13867, _u13869, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u13865), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u13871))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_setsum__reindex__cong ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_setsum__reindex__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13875) | ~c_Fun_Oinj__on(_u13876, _u13877, _u13878, _u13879) | ( _u13880 != hAPP(c_Set_Oimage(_u13876, _u13877, _u13878), _u13879)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13877, _u13875), _u13882), _u13880) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13876, _u13875), _u13881), _u13879)) | hBOOL(hAPP(hAPP(c_member(_u13876), skolem350(_u13882, _u13881, _u13880, _u13879, _u13878, _u13877, _u13876, _u13875)), _u13879)) )).
% 19.51/19.72 cnf(fact_setsum__reindex__cong-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13875) | ~c_Fun_Oinj__on(_u13876, _u13877, _u13878, _u13879) | ( _u13880 != hAPP(c_Set_Oimage(_u13876, _u13877, _u13878), _u13879)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13877, _u13875), _u13882), _u13880) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13876, _u13875), _u13881), _u13879)) | ( hAPP(_u13881, skolem350(_u13882, _u13881, _u13880, _u13879, _u13878, _u13877, _u13876, _u13875)) != hAPP(_u13882, hAPP(_u13878, skolem350(_u13882, _u13881, _u13880, _u13879, _u13878, _u13877, _u13876, _u13875)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_scomp__scomp ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_scomp__scomp-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u13883, _u13884, _u13885, _u13886), hAPP(hAPP(c_Product__Type_Oscomp(_u13883, _u13887, _u13888, tc_prod(_u13884, _u13885)), _u13889), _u13890)), _u13891) = hAPP(hAPP(c_Product__Type_Oscomp(_u13883, _u13887, _u13888, _u13886), _u13889), hAPP(hAPP(c_COMBC(_u13887, tc_fun(_u13884, tc_fun(_u13885, _u13886)), tc_fun(_u13888, _u13886)), hAPP(hAPP(c_COMBB(tc_fun(_u13888, tc_prod(_u13884, _u13885)), tc_fun(tc_fun(_u13884, tc_fun(_u13885, _u13886)), tc_fun(_u13888, _u13886)), _u13887), c_Product__Type_Oscomp(_u13888, _u13884, _u13885, _u13886)), _u13890)), _u13891))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_scomp__Pair ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_scomp__Pair-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u13892, _u13893, _u13894, tc_prod(_u13893, _u13894)), _u13895), c_Product__Type_OPair(_u13893, _u13894)) = _u13895) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Pair__scomp ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Pair__scomp-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u13896, _u13897, _u13896, _u13898), hAPP(c_Product__Type_OPair(_u13897, _u13896), _u13899)), _u13900) = hAPP(_u13900, _u13899)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_scomp__apply ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_scomp__apply-1, axiom, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u13901, _u13902, _u13903, _u13904), _u13905), _u13906), _u13907) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13902, _u13903, _u13904), _u13906), hAPP(_u13905, _u13907))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_scomp__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_scomp__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u13908, _u13909, _u13910, _u13911), _u13912), _u13913), _u13914) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13909, _u13910, _u13911), _u13913), hAPP(_u13912, _u13914))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_scomp__unfold ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_scomp__unfold-1, axiom, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u13915, _u13916, _u13917, _u13918), _u13919), _u13920), _u13921) = hAPP(hAPP(_u13920, hAPP(c_Product__Type_Ofst(_u13916, _u13917), hAPP(_u13919, _u13921))), hAPP(c_Product__Type_Osnd(_u13916, _u13917), hAPP(_u13919, _u13921)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_setsum__ivl__cong ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_setsum__ivl__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13923) | ~class_Orderings_Oord(_u13924) | ( _u13925 != _u13926) | ( _u13927 != _u13928) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13924, _u13923), _u13929), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u13924, _u13925), _u13927)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13924, _u13923), _u13930), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u13924, _u13926), _u13928))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13924), _u13926), skolem351(_u13930, _u13929, _u13928, _u13927, _u13926, _u13925, _u13924, _u13923))) )).
% 19.51/19.72 cnf(fact_setsum__ivl__cong-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13923) | ~class_Orderings_Oord(_u13924) | ( _u13925 != _u13926) | ( _u13927 != _u13928) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13924, _u13923), _u13929), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u13924, _u13925), _u13927)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13924, _u13923), _u13930), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u13924, _u13926), _u13928))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u13924), skolem351(_u13930, _u13929, _u13928, _u13927, _u13926, _u13925, _u13924, _u13923)), _u13928)) )).
% 19.51/19.72 cnf(fact_setsum__ivl__cong-3, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13923) | ~class_Orderings_Oord(_u13924) | ( _u13925 != _u13926) | ( _u13927 != _u13928) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13924, _u13923), _u13929), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u13924, _u13925), _u13927)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13924, _u13923), _u13930), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u13924, _u13926), _u13928))) | ( hAPP(_u13929, skolem351(_u13930, _u13929, _u13928, _u13927, _u13926, _u13925, _u13924, _u13923)) != hAPP(_u13930, skolem351(_u13930, _u13929, _u13928, _u13927, _u13926, _u13925, _u13924, _u13923))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_less__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_less__eq-1, axiom, ( ~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), _u13933), _u13935)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u13933), _u13935)) )).
% 19.51/19.72 cnf(fact_less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u13934), _u13936)) | 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), _u13934), _u13936)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__eq__minimal ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__eq__minimal-1, axiom, ( ~c_Wellfounded_Owf(_u13947, _u13949) | ~hBOOL(hAPP(hAPP(c_member(_u13947), _u13937), _u13940)) | hBOOL(hAPP(hAPP(c_member(_u13947), skolem352(_u13949, _u13947, _u13940)), _u13940)) )).
% 19.51/19.72 cnf(fact_wf__eq__minimal-2, axiom, ( ~c_Wellfounded_Owf(_u13947, _u13949) | ~hBOOL(hAPP(hAPP(c_member(_u13947), _u13937), _u13940)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13947, _u13947)), hAPP(hAPP(c_Product__Type_OPair(_u13947, _u13947), _u13938), skolem352(_u13949, _u13947, _u13940))), _u13949)) | ~hBOOL(hAPP(hAPP(c_member(_u13947), _u13938), _u13940)) )).
% 19.51/19.72 cnf(fact_wf__eq__minimal-3, axiom, ( c_Wellfounded_Owf(_u13948, _u13950) | hBOOL(hAPP(hAPP(c_member(_u13948), skolem354(_u13950, _u13948)), skolem353(_u13950, _u13948))) )).
% 19.51/19.72 cnf(fact_wf__eq__minimal-4, axiom, ( c_Wellfounded_Owf(_u13948, _u13950) | ~hBOOL(hAPP(hAPP(c_member(_u13948), _u13943), skolem353(_u13950, _u13948))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13948, _u13948)), hAPP(hAPP(c_Product__Type_OPair(_u13948, _u13948), skolem355(_u13950, _u13948, _u13943)), _u13943)), _u13950)) )).
% 19.51/19.72 cnf(fact_wf__eq__minimal-5, axiom, ( c_Wellfounded_Owf(_u13948, _u13950) | ~hBOOL(hAPP(hAPP(c_member(_u13948), _u13943), skolem353(_u13950, _u13948))) | hBOOL(hAPP(hAPP(c_member(_u13948), skolem355(_u13950, _u13948, _u13943)), skolem353(_u13950, _u13948))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__trancl ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__trancl-1, axiom, ( ~c_Wellfounded_Owf(_u13951, _u13952) | c_Wellfounded_Owf(_u13951, c_Transitive__Closure_Otrancl(_u13951, _u13952)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_less__than__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_less__than__def-1, axiom, ( ( c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_acyclic__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_acyclic__def-1, axiom, ( ~c_Wellfounded_Oacyclic(_u13957, _u13959) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13957, _u13957)), hAPP(hAPP(c_Product__Type_OPair(_u13957, _u13957), _u13953), _u13953)), c_Transitive__Closure_Otrancl(_u13957, _u13959))) )).
% 19.51/19.72 cnf(fact_acyclic__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13958, _u13958)), hAPP(hAPP(c_Product__Type_OPair(_u13958, _u13958), skolem356(_u13960, _u13958)), skolem356(_u13960, _u13958))), c_Transitive__Closure_Otrancl(_u13958, _u13960))) | c_Wellfounded_Oacyclic(_u13958, _u13960) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_trancl_Or__into__trancl ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_trancl_Or__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13961, _u13961)), hAPP(hAPP(c_Product__Type_OPair(_u13961, _u13961), _u13962), _u13963)), _u13964)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13961, _u13961)), hAPP(hAPP(c_Product__Type_OPair(_u13961, _u13961), _u13962), _u13963)), c_Transitive__Closure_Otrancl(_u13961, _u13964))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_trancl__subset__Field2 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_trancl__subset__Field2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13965, _u13965), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u13965, _u13966)), hAPP(hAPP(c_Product__Type_OSigma(_u13965, _u13965), hAPP(c_Relation_OField(_u13965), _u13966)), hAPP(c_COMBK(tc_fun(_u13965, tc_HOL_Obool), _u13965), hAPP(c_Relation_OField(_u13965), _u13966))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_trancl__Int__subset ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_trancl__Int__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13967, _u13967), tc_HOL_Obool)), _u13968), _u13969)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13967, _u13967), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13967, _u13967, _u13967), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13967, _u13967), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u13967, _u13968)), _u13969)), _u13968)), _u13969)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13967, _u13967), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u13967, _u13968)), _u13969)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_r__into__trancl_H ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_r__into__trancl_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13970, _u13970)), _u13971), _u13972)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13970, _u13970)), _u13971), c_Transitive__Closure_Otrancl(_u13970, _u13972))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_trancl__empty ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_trancl__empty-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u13973, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13973, _u13973), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13973, _u13973), tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_trancl__domain ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_trancl__domain-1, axiom, ( ( hAPP(c_Relation_ODomain(_u13974, _u13974), c_Transitive__Closure_Otrancl(_u13974, _u13975)) = hAPP(c_Relation_ODomain(_u13974, _u13974), _u13975)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_trancl__range ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_trancl__range-1, axiom, ( ( hAPP(c_Relation_ORange(_u13976, _u13976), c_Transitive__Closure_Otrancl(_u13976, _u13977)) = hAPP(c_Relation_ORange(_u13976, _u13976), _u13977)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_finite__trancl ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_finite__trancl-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13980, _u13980)), c_Transitive__Closure_Otrancl(_u13980, _u13982))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13980, _u13980)), _u13982)) )).
% 19.51/19.72 cnf(fact_finite__trancl-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13981, _u13981)), _u13983)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13981, _u13981)), c_Transitive__Closure_Otrancl(_u13981, _u13983))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_trancl__trans ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_trancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13984, _u13984)), hAPP(hAPP(c_Product__Type_OPair(_u13984, _u13984), _u13985), _u13986)), c_Transitive__Closure_Otrancl(_u13984, _u13987))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13984, _u13984)), hAPP(hAPP(c_Product__Type_OPair(_u13984, _u13984), _u13986), _u13988)), c_Transitive__Closure_Otrancl(_u13984, _u13987))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13984, _u13984)), hAPP(hAPP(c_Product__Type_OPair(_u13984, _u13984), _u13985), _u13988)), c_Transitive__Closure_Otrancl(_u13984, _u13987))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Transitive__Closure_Otrancl__into__trancl ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Transitive__Closure_Otrancl__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13989, _u13989)), hAPP(hAPP(c_Product__Type_OPair(_u13989, _u13989), _u13990), _u13991)), c_Transitive__Closure_Otrancl(_u13989, _u13992))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13989, _u13989)), hAPP(hAPP(c_Product__Type_OPair(_u13989, _u13989), _u13991), _u13993)), _u13992)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13989, _u13989)), hAPP(hAPP(c_Product__Type_OPair(_u13989, _u13989), _u13990), _u13993)), c_Transitive__Closure_Otrancl(_u13989, _u13992))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_trancl__into__trancl2 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_trancl__into__trancl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13994, _u13994)), hAPP(hAPP(c_Product__Type_OPair(_u13994, _u13994), _u13995), _u13996)), _u13997)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13994, _u13994)), hAPP(hAPP(c_Product__Type_OPair(_u13994, _u13994), _u13996), _u13998)), c_Transitive__Closure_Otrancl(_u13994, _u13997))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13994, _u13994)), hAPP(hAPP(c_Product__Type_OPair(_u13994, _u13994), _u13995), _u13998)), c_Transitive__Closure_Otrancl(_u13994, _u13997))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_r__r__into__trancl ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_r__r__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13999, _u13999)), hAPP(hAPP(c_Product__Type_OPair(_u13999, _u13999), _u14000), _u14001)), _u14002)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13999, _u13999)), hAPP(hAPP(c_Product__Type_OPair(_u13999, _u13999), _u14001), _u14003)), _u14002)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13999, _u13999)), hAPP(hAPP(c_Product__Type_OPair(_u13999, _u13999), _u14000), _u14003)), c_Transitive__Closure_Otrancl(_u13999, _u14002))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_trancl__mono ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_trancl__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14004, _u14004)), _u14005), c_Transitive__Closure_Otrancl(_u14004, _u14006))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14004, _u14004), tc_HOL_Obool)), _u14006), _u14007)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14004, _u14004)), _u14005), c_Transitive__Closure_Otrancl(_u14004, _u14007))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_trancl__unfold ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_trancl__unfold-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14008, _u14009) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14008, _u14008), tc_HOL_Obool)), _u14009), hAPP(hAPP(c_Relation_Orel__comp(_u14008, _u14008, _u14008), c_Transitive__Closure_Otrancl(_u14008, _u14009)), _u14009))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_trancl__subset__Sigma ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_trancl__subset__Sigma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14010, _u14010), tc_HOL_Obool)), _u14011), hAPP(hAPP(c_Product__Type_OSigma(_u14010, _u14010), _u14012), hAPP(c_COMBK(tc_fun(_u14010, tc_HOL_Obool), _u14010), _u14012)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14010, _u14010), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14010, _u14011)), hAPP(hAPP(c_Product__Type_OSigma(_u14010, _u14010), _u14012), hAPP(c_COMBK(tc_fun(_u14010, tc_HOL_Obool), _u14010), _u14012)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_trancl__insert ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_trancl__insert-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14013, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14013, _u14013)), hAPP(hAPP(c_Product__Type_OPair(_u14013, _u14013), _u14014), _u14015)), _u14016)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14013, _u14013), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14013, _u14016)), hAPP(c_Set_OCollect(tc_prod(_u14013, _u14013)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14013, _u14013, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14013, tc_fun(_u14013, tc_HOL_Obool), tc_fun(_u14013, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14013, tc_HOL_Obool), tc_fun(_u14013, tc_HOL_Obool)), _u14013), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14013)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14013), c_fconj), hAPP(hAPP(c_COMBC(_u14013, tc_fun(tc_prod(_u14013, _u14013), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u14013, _u14013), tc_fun(tc_fun(tc_prod(_u14013, _u14013), tc_HOL_Obool), tc_HOL_Obool), _u14013), c_member(tc_prod(_u14013, _u14013))), hAPP(hAPP(c_COMBC(_u14013, _u14013, tc_prod(_u14013, _u14013)), c_Product__Type_OPair(_u14013, _u14013)), _u14014))), c_Transitive__Closure_Ortrancl(_u14013, _u14016))))), hAPP(hAPP(c_COMBC(_u14013, tc_fun(tc_prod(_u14013, _u14013), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u14013, _u14013), tc_fun(tc_fun(tc_prod(_u14013, _u14013), tc_HOL_Obool), tc_HOL_Obool), _u14013), c_member(tc_prod(_u14013, _u14013))), hAPP(c_Product__Type_OPair(_u14013, _u14013), _u14015))), c_Transitive__Closure_Ortrancl(_u14013, _u14016))))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_reflcl__set__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_reflcl__set__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14021, tc_fun(_u14021, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u14021, tc_fun(tc_prod(_u14021, _u14021), tc_HOL_Obool), tc_fun(_u14021, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14021, tc_fun(tc_fun(tc_prod(_u14021, _u14021), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14021, _u14021), tc_HOL_Obool), tc_fun(_u14021, tc_HOL_Obool)), _u14021), c_COMBC(_u14021, tc_fun(tc_prod(_u14021, _u14021), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14021, tc_prod(_u14021, _u14021)), tc_fun(_u14021, tc_fun(tc_fun(tc_prod(_u14021, _u14021), tc_HOL_Obool), tc_HOL_Obool)), _u14021), hAPP(c_COMBB(tc_prod(_u14021, _u14021), tc_fun(tc_fun(tc_prod(_u14021, _u14021), tc_HOL_Obool), tc_HOL_Obool), _u14021), c_member(tc_prod(_u14021, _u14021)))), c_Product__Type_OPair(_u14021, _u14021)))), _u14023)), c_fequal), _u14025), _u14027)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14021, _u14021)), hAPP(hAPP(c_Product__Type_OPair(_u14021, _u14021), _u14025), _u14027)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14021, _u14021), tc_HOL_Obool)), _u14023), c_Relation_OId(_u14021)))) )).
% 19.51/19.72 cnf(fact_reflcl__set__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14022, _u14022)), hAPP(hAPP(c_Product__Type_OPair(_u14022, _u14022), _u14026), _u14028)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14022, _u14022), tc_HOL_Obool)), _u14024), c_Relation_OId(_u14022)))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14022, tc_fun(_u14022, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u14022, tc_fun(tc_prod(_u14022, _u14022), tc_HOL_Obool), tc_fun(_u14022, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14022, tc_fun(tc_fun(tc_prod(_u14022, _u14022), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14022, _u14022), tc_HOL_Obool), tc_fun(_u14022, tc_HOL_Obool)), _u14022), c_COMBC(_u14022, tc_fun(tc_prod(_u14022, _u14022), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14022, tc_prod(_u14022, _u14022)), tc_fun(_u14022, tc_fun(tc_fun(tc_prod(_u14022, _u14022), tc_HOL_Obool), tc_HOL_Obool)), _u14022), hAPP(c_COMBB(tc_prod(_u14022, _u14022), tc_fun(tc_fun(tc_prod(_u14022, _u14022), tc_HOL_Obool), tc_HOL_Obool), _u14022), c_member(tc_prod(_u14022, _u14022)))), c_Product__Type_OPair(_u14022, _u14022)))), _u14024)), c_fequal), _u14026), _u14028)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_acyclicI ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_acyclicI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14030, _u14030)), hAPP(hAPP(c_Product__Type_OPair(_u14030, _u14030), skolem357(_u14031, _u14030)), skolem357(_u14031, _u14030))), c_Transitive__Closure_Otrancl(_u14030, _u14031))) | c_Wellfounded_Oacyclic(_u14030, _u14031) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_r__into__rtrancl ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_r__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14032, _u14032)), _u14033), _u14034)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14032, _u14032)), _u14033), c_Transitive__Closure_Ortrancl(_u14032, _u14034))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rtrancl_Ortrancl__refl ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rtrancl_Ortrancl__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14035, _u14035)), hAPP(hAPP(c_Product__Type_OPair(_u14035, _u14035), _u14036), _u14036)), c_Transitive__Closure_Ortrancl(_u14035, _u14037))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_IdI ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_IdI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14038, _u14038)), hAPP(hAPP(c_Product__Type_OPair(_u14038, _u14038), _u14039), _u14039)), c_Relation_OId(_u14038))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_trancl__into__rtrancl ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_trancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14040, _u14040)), hAPP(hAPP(c_Product__Type_OPair(_u14040, _u14040), _u14041), _u14042)), c_Transitive__Closure_Otrancl(_u14040, _u14043))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14040, _u14040)), hAPP(hAPP(c_Product__Type_OPair(_u14040, _u14040), _u14041), _u14042)), c_Transitive__Closure_Ortrancl(_u14040, _u14043))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_trancl__unfold__right ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_trancl__unfold__right-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14044, _u14045) = hAPP(hAPP(c_Relation_Orel__comp(_u14044, _u14044, _u14044), c_Transitive__Closure_Ortrancl(_u14044, _u14045)), _u14045)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_trancl__unfold__left ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_trancl__unfold__left-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14046, _u14047) = hAPP(hAPP(c_Relation_Orel__comp(_u14046, _u14046, _u14046), _u14047), c_Transitive__Closure_Ortrancl(_u14046, _u14047))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_trancl__reflcl ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_trancl__reflcl-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14048, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14048, _u14048), tc_HOL_Obool)), _u14049), c_Relation_OId(_u14048))) = c_Transitive__Closure_Ortrancl(_u14048, _u14049)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_reflcl__trancl ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_reflcl__trancl-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14050, _u14050), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14050, _u14051)), c_Relation_OId(_u14050)) = c_Transitive__Closure_Ortrancl(_u14050, _u14051)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_trancl__rtrancl__absorb ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_trancl__rtrancl__absorb-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14052, c_Transitive__Closure_Otrancl(_u14052, _u14053)) = c_Transitive__Closure_Ortrancl(_u14052, _u14053)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rtrancl__trancl__absorb ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rtrancl__trancl__absorb-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14054, c_Transitive__Closure_Ortrancl(_u14054, _u14055)) = c_Transitive__Closure_Ortrancl(_u14054, _u14055)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Domain__rtrancl ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Domain__rtrancl-1, axiom, ( ( hAPP(c_Relation_ODomain(_u14056, _u14056), c_Transitive__Closure_Ortrancl(_u14056, _u14057)) = c_Orderings_Otop__class_Otop(tc_fun(_u14056, tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Range__rtrancl ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Range__rtrancl-1, axiom, ( ( hAPP(c_Relation_ORange(_u14058, _u14058), c_Transitive__Closure_Ortrancl(_u14058, _u14059)) = c_Orderings_Otop__class_Otop(tc_fun(_u14058, tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_refl__rtrancl ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_refl__rtrancl-1, axiom, ( c_Relation_Orefl__on(_u14060, c_Orderings_Otop__class_Otop(tc_fun(_u14060, tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14060, _u14061)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rtrancl__trans ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rtrancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14062, _u14062)), hAPP(hAPP(c_Product__Type_OPair(_u14062, _u14062), _u14063), _u14064)), c_Transitive__Closure_Ortrancl(_u14062, _u14065))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14062, _u14062)), hAPP(hAPP(c_Product__Type_OPair(_u14062, _u14062), _u14064), _u14066)), c_Transitive__Closure_Ortrancl(_u14062, _u14065))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14062, _u14062)), hAPP(hAPP(c_Product__Type_OPair(_u14062, _u14062), _u14063), _u14066)), c_Transitive__Closure_Ortrancl(_u14062, _u14065))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rtrancl_Ortrancl__into__rtrancl ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rtrancl_Ortrancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14067, _u14067)), hAPP(hAPP(c_Product__Type_OPair(_u14067, _u14067), _u14068), _u14069)), c_Transitive__Closure_Ortrancl(_u14067, _u14070))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14067, _u14067)), hAPP(hAPP(c_Product__Type_OPair(_u14067, _u14067), _u14069), _u14071)), _u14070)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14067, _u14067)), hAPP(hAPP(c_Product__Type_OPair(_u14067, _u14067), _u14068), _u14071)), c_Transitive__Closure_Ortrancl(_u14067, _u14070))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_converse__rtrancl__into__rtrancl ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_converse__rtrancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14072, _u14072)), hAPP(hAPP(c_Product__Type_OPair(_u14072, _u14072), _u14073), _u14074)), _u14075)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14072, _u14072)), hAPP(hAPP(c_Product__Type_OPair(_u14072, _u14072), _u14074), _u14076)), c_Transitive__Closure_Ortrancl(_u14072, _u14075))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14072, _u14072)), hAPP(hAPP(c_Product__Type_OPair(_u14072, _u14072), _u14073), _u14076)), c_Transitive__Closure_Ortrancl(_u14072, _u14075))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rtrancl__idemp ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rtrancl__idemp-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14077, c_Transitive__Closure_Ortrancl(_u14077, _u14078)) = c_Transitive__Closure_Ortrancl(_u14077, _u14078)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rtrancl__r__diff__Id ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rtrancl__r__diff__Id-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14079, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14079, _u14079), tc_HOL_Obool)), _u14080), c_Relation_OId(_u14079))) = c_Transitive__Closure_Ortrancl(_u14079, _u14080)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rtrancl__reflcl__absorb ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rtrancl__reflcl__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14081, _u14081), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14081, _u14082)), c_Relation_OId(_u14081)) = c_Transitive__Closure_Ortrancl(_u14081, _u14082)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rtrancl__Un__rtrancl ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rtrancl__Un__rtrancl-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14083, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14083, _u14083), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14083, _u14084)), c_Transitive__Closure_Ortrancl(_u14083, _u14085))) = c_Transitive__Closure_Ortrancl(_u14083, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14083, _u14083), tc_HOL_Obool)), _u14084), _u14085))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rtrancl__reflcl ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rtrancl__reflcl-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14086, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14086, _u14086), tc_HOL_Obool)), _u14087), c_Relation_OId(_u14086))) = c_Transitive__Closure_Ortrancl(_u14086, _u14087)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rtrancl__Un__subset ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rtrancl__Un__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14088, _u14088), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14088, _u14088), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14088, _u14089)), c_Transitive__Closure_Ortrancl(_u14088, _u14090))), c_Transitive__Closure_Ortrancl(_u14088, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14088, _u14088), tc_HOL_Obool)), _u14089), _u14090)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rtrancl__mono ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rtrancl__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14091, _u14091), tc_HOL_Obool)), _u14092), _u14093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14091, _u14091), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14091, _u14092)), c_Transitive__Closure_Ortrancl(_u14091, _u14093))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rtrancl__subset ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rtrancl__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14094, _u14094), tc_HOL_Obool)), _u14095), _u14096)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14094, _u14094), tc_HOL_Obool)), _u14096), c_Transitive__Closure_Ortrancl(_u14094, _u14095))) | ( c_Transitive__Closure_Ortrancl(_u14094, _u14096) = c_Transitive__Closure_Ortrancl(_u14094, _u14095)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rtrancl__subset__rtrancl ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rtrancl__subset__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14097, _u14097), tc_HOL_Obool)), _u14098), c_Transitive__Closure_Ortrancl(_u14097, _u14099))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14097, _u14097), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14097, _u14098)), c_Transitive__Closure_Ortrancl(_u14097, _u14099))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Image__closed__trancl ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Image__closed__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14100, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14100, _u14100, _u14101), _u14102)), _u14102)) | ( hAPP(c_Relation_OImage(_u14100, _u14100, c_Transitive__Closure_Ortrancl(_u14100, _u14101)), _u14102) = _u14102) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_in__rtrancl__UnI ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_in__rtrancl__UnI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14103, _u14103)), _u14104), c_Transitive__Closure_Ortrancl(_u14103, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14103, _u14103), tc_HOL_Obool)), _u14105), _u14106)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14103, _u14103)), _u14104), c_Transitive__Closure_Ortrancl(_u14103, _u14105))) )).
% 19.51/19.72 cnf(fact_in__rtrancl__UnI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14103, _u14103)), _u14104), c_Transitive__Closure_Ortrancl(_u14103, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14103, _u14103), tc_HOL_Obool)), _u14105), _u14106)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14103, _u14103)), _u14104), c_Transitive__Closure_Ortrancl(_u14103, _u14106))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_r__comp__rtrancl__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_r__comp__rtrancl__eq-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14107, _u14107, _u14107), _u14108), c_Transitive__Closure_Ortrancl(_u14107, _u14108)) = hAPP(hAPP(c_Relation_Orel__comp(_u14107, _u14107, _u14107), c_Transitive__Closure_Ortrancl(_u14107, _u14108)), _u14108)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rtrancl__idemp__self__comp ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rtrancl__idemp__self__comp-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14109, _u14109, _u14109), c_Transitive__Closure_Ortrancl(_u14109, _u14110)), c_Transitive__Closure_Ortrancl(_u14109, _u14110)) = c_Transitive__Closure_Ortrancl(_u14109, _u14110)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rtrancl__Int__subset ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rtrancl__Int__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14111, _u14111), tc_HOL_Obool)), c_Relation_OId(_u14111)), _u14112)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14111, _u14111), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14111, _u14111, _u14111), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14111, _u14111), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14111, _u14113)), _u14112)), _u14113)), _u14112)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14111, _u14111), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14111, _u14113)), _u14112)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rtrancl__unfold ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rtrancl__unfold-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14114, _u14115) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14114, _u14114), tc_HOL_Obool)), c_Relation_OId(_u14114)), hAPP(hAPP(c_Relation_Orel__comp(_u14114, _u14114, _u14114), c_Transitive__Closure_Ortrancl(_u14114, _u14115)), _u14115))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rtrancl__empty ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rtrancl__empty-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14116, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14116, _u14116), tc_HOL_Obool))) = c_Relation_OId(_u14116)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Id__O__R ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Id__O__R-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14117, _u14117, _u14118), c_Relation_OId(_u14117)), _u14119) = _u14119) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_R__O__Id ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_R__O__Id-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14120, _u14121, _u14121), _u14122), c_Relation_OId(_u14121)) = _u14122) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Image__Id ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Image__Id-1, axiom, ( ( hAPP(c_Relation_OImage(_u14123, _u14123, c_Relation_OId(_u14123)), _u14124) = _u14124) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_pair__in__Id__conv ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_pair__in__Id__conv-1, axiom, ( ( _u14130 = _u14132) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14128, _u14128)), hAPP(hAPP(c_Product__Type_OPair(_u14128, _u14128), _u14130), _u14132)), c_Relation_OId(_u14128))) )).
% 19.51/19.72 cnf(fact_pair__in__Id__conv-2, axiom, ( ( _u14131 != _u14133) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14129, _u14129)), hAPP(hAPP(c_Product__Type_OPair(_u14129, _u14129), _u14131), _u14133)), c_Relation_OId(_u14129))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rtrancl__trancl__trancl ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rtrancl__trancl__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14134, _u14134)), hAPP(hAPP(c_Product__Type_OPair(_u14134, _u14134), _u14135), _u14136)), c_Transitive__Closure_Ortrancl(_u14134, _u14137))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14134, _u14134)), hAPP(hAPP(c_Product__Type_OPair(_u14134, _u14134), _u14136), _u14138)), c_Transitive__Closure_Otrancl(_u14134, _u14137))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14134, _u14134)), hAPP(hAPP(c_Product__Type_OPair(_u14134, _u14134), _u14135), _u14138)), c_Transitive__Closure_Otrancl(_u14134, _u14137))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_trancl__rtrancl__trancl ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_trancl__rtrancl__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14139, _u14139)), hAPP(hAPP(c_Product__Type_OPair(_u14139, _u14139), _u14140), _u14141)), c_Transitive__Closure_Otrancl(_u14139, _u14142))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14139, _u14139)), hAPP(hAPP(c_Product__Type_OPair(_u14139, _u14139), _u14141), _u14143)), c_Transitive__Closure_Ortrancl(_u14139, _u14142))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14139, _u14139)), hAPP(hAPP(c_Product__Type_OPair(_u14139, _u14139), _u14140), _u14143)), c_Transitive__Closure_Otrancl(_u14139, _u14142))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rtrancl__into__trancl1 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rtrancl__into__trancl1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14144, _u14144)), hAPP(hAPP(c_Product__Type_OPair(_u14144, _u14144), _u14145), _u14146)), c_Transitive__Closure_Ortrancl(_u14144, _u14147))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14144, _u14144)), hAPP(hAPP(c_Product__Type_OPair(_u14144, _u14144), _u14146), _u14148)), _u14147)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14144, _u14144)), hAPP(hAPP(c_Product__Type_OPair(_u14144, _u14144), _u14145), _u14148)), c_Transitive__Closure_Otrancl(_u14144, _u14147))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rtranclD ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rtranclD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14149, _u14149)), hAPP(hAPP(c_Product__Type_OPair(_u14149, _u14149), _u14150), _u14151)), c_Transitive__Closure_Ortrancl(_u14149, _u14152))) | ( _u14150 = _u14151) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14149, _u14149)), hAPP(hAPP(c_Product__Type_OPair(_u14149, _u14149), _u14150), _u14151)), c_Transitive__Closure_Otrancl(_u14149, _u14152))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rtrancl__into__trancl2 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rtrancl__into__trancl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14153, _u14153)), hAPP(hAPP(c_Product__Type_OPair(_u14153, _u14153), _u14154), _u14155)), _u14156)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14153, _u14153)), hAPP(hAPP(c_Product__Type_OPair(_u14153, _u14153), _u14155), _u14157)), c_Transitive__Closure_Ortrancl(_u14153, _u14156))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14153, _u14153)), hAPP(hAPP(c_Product__Type_OPair(_u14153, _u14153), _u14154), _u14157)), c_Transitive__Closure_Otrancl(_u14153, _u14156))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rtrancl__eq__or__trancl ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rtrancl__eq__or__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14162, _u14162)), hAPP(hAPP(c_Product__Type_OPair(_u14162, _u14162), _u14164), _u14166)), c_Transitive__Closure_Ortrancl(_u14162, _u14168))) | ( _u14164 = _u14166) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14162, _u14162)), hAPP(hAPP(c_Product__Type_OPair(_u14162, _u14162), _u14164), _u14166)), c_Transitive__Closure_Otrancl(_u14162, _u14168))) )).
% 19.51/19.72 cnf(fact_rtrancl__eq__or__trancl-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14163, _u14163)), hAPP(hAPP(c_Product__Type_OPair(_u14163, _u14163), _u14165), _u14167)), c_Transitive__Closure_Ortrancl(_u14163, _u14169))) | ( _u14165 != _u14167) )).
% 19.51/19.72 cnf(fact_rtrancl__eq__or__trancl-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14163, _u14163)), hAPP(hAPP(c_Product__Type_OPair(_u14163, _u14163), _u14165), _u14167)), c_Transitive__Closure_Ortrancl(_u14163, _u14169))) | ( _u14165 = _u14167) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14163, _u14163)), hAPP(hAPP(c_Product__Type_OPair(_u14163, _u14163), _u14165), _u14167)), c_Transitive__Closure_Otrancl(_u14163, _u14169))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Domain__Id ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Domain__Id-1, axiom, ( ( hAPP(c_Relation_ODomain(_u14170, _u14170), c_Relation_OId(_u14170)) = c_Orderings_Otop__class_Otop(tc_fun(_u14170, tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Range__Id ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Range__Id-1, axiom, ( ( hAPP(c_Relation_ORange(_u14171, _u14171), c_Relation_OId(_u14171)) = c_Orderings_Otop__class_Otop(tc_fun(_u14171, tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_refl__Id ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_refl__Id-1, axiom, ( c_Relation_Orefl__on(_u14172, c_Orderings_Otop__class_Otop(tc_fun(_u14172, tc_HOL_Obool)), c_Relation_OId(_u14172)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_pair__leq__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_pair__leq__def-1, axiom, ( ( c_FunDef_Opair__leq = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat)), tc_HOL_Obool)), c_FunDef_Opair__less), c_Relation_OId(tc_prod(tc_Nat_Onat, tc_Nat_Onat)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Not__Domain__rtrancl ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Not__Domain__rtrancl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14173), _u14174), hAPP(c_Relation_ODomain(_u14173, _u14173), _u14175))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14173, _u14173)), hAPP(hAPP(c_Product__Type_OPair(_u14173, _u14173), _u14174), _u14176)), c_Transitive__Closure_Ortrancl(_u14173, _u14175))) | ( _u14174 = _u14176) )).
% 19.51/19.72 cnf(fact_Not__Domain__rtrancl-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14173), _u14174), hAPP(c_Relation_ODomain(_u14173, _u14173), _u14175))) | ( _u14174 != _u14176) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14173, _u14173)), hAPP(hAPP(c_Product__Type_OPair(_u14173, _u14173), _u14174), _u14176)), c_Transitive__Closure_Ortrancl(_u14173, _u14175))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_acc__downwards ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_acc__downwards-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14177), _u14178), c_Wellfounded_Oacc(_u14177, _u14179))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14177, _u14177)), hAPP(hAPP(c_Product__Type_OPair(_u14177, _u14177), _u14180), _u14178)), c_Transitive__Closure_Ortrancl(_u14177, _u14179))) | hBOOL(hAPP(hAPP(c_member(_u14177), _u14180), c_Wellfounded_Oacc(_u14177, _u14179))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_acc__downwards__aux ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_acc__downwards__aux-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14181, _u14181)), hAPP(hAPP(c_Product__Type_OPair(_u14181, _u14181), _u14182), _u14183)), c_Transitive__Closure_Ortrancl(_u14181, _u14184))) | ~hBOOL(hAPP(hAPP(c_member(_u14181), _u14183), c_Wellfounded_Oacc(_u14181, _u14184))) | hBOOL(hAPP(hAPP(c_member(_u14181), _u14182), c_Wellfounded_Oacc(_u14181, _u14184))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__insert ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__insert-1, axiom, ( ~c_Wellfounded_Owf(_u14189, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14189, _u14189)), hAPP(hAPP(c_Product__Type_OPair(_u14189, _u14189), _u14191), _u14193)), _u14195)) | c_Wellfounded_Owf(_u14189, _u14195) )).
% 19.51/19.72 cnf(fact_wf__insert-2, axiom, ( ~c_Wellfounded_Owf(_u14189, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14189, _u14189)), hAPP(hAPP(c_Product__Type_OPair(_u14189, _u14189), _u14191), _u14193)), _u14195)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14189, _u14189)), hAPP(hAPP(c_Product__Type_OPair(_u14189, _u14189), _u14193), _u14191)), c_Transitive__Closure_Ortrancl(_u14189, _u14195))) )).
% 19.51/19.72 cnf(fact_wf__insert-3, axiom, ( ~c_Wellfounded_Owf(_u14190, _u14196) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14190, _u14190)), hAPP(hAPP(c_Product__Type_OPair(_u14190, _u14190), _u14194), _u14192)), c_Transitive__Closure_Ortrancl(_u14190, _u14196))) | c_Wellfounded_Owf(_u14190, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14190, _u14190)), hAPP(hAPP(c_Product__Type_OPair(_u14190, _u14190), _u14192), _u14194)), _u14196)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_acyclic__insert ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_acyclic__insert-1, axiom, ( ~c_Wellfounded_Oacyclic(_u14201, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14201, _u14201)), hAPP(hAPP(c_Product__Type_OPair(_u14201, _u14201), _u14203), _u14205)), _u14207)) | c_Wellfounded_Oacyclic(_u14201, _u14207) )).
% 19.51/19.72 cnf(fact_acyclic__insert-2, axiom, ( ~c_Wellfounded_Oacyclic(_u14201, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14201, _u14201)), hAPP(hAPP(c_Product__Type_OPair(_u14201, _u14201), _u14203), _u14205)), _u14207)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14201, _u14201)), hAPP(hAPP(c_Product__Type_OPair(_u14201, _u14201), _u14205), _u14203)), c_Transitive__Closure_Ortrancl(_u14201, _u14207))) )).
% 19.51/19.72 cnf(fact_acyclic__insert-3, axiom, ( ~c_Wellfounded_Oacyclic(_u14202, _u14208) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14202, _u14202)), hAPP(hAPP(c_Product__Type_OPair(_u14202, _u14202), _u14206), _u14204)), c_Transitive__Closure_Ortrancl(_u14202, _u14208))) | c_Wellfounded_Oacyclic(_u14202, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14202, _u14202)), hAPP(hAPP(c_Product__Type_OPair(_u14202, _u14202), _u14204), _u14206)), _u14208)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_refl__reflcl ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_refl__reflcl-1, axiom, ( c_Relation_Orefl__on(_u14209, c_Orderings_Otop__class_Otop(tc_fun(_u14209, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14209, _u14209), tc_HOL_Obool)), _u14210), c_Relation_OId(_u14209))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Id__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Id__def-1, axiom, ( ( c_Relation_OId(_u14211) = hAPP(c_Set_OCollect(tc_prod(_u14211, _u14211)), hAPP(hAPP(c_COMBB(tc_fun(_u14211, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u14211, _u14211)), c_HOL_OEx(_u14211)), hAPP(hAPP(c_COMBC(tc_prod(_u14211, _u14211), tc_fun(_u14211, tc_prod(_u14211, _u14211)), tc_fun(_u14211, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14211, _u14211), tc_HOL_Obool), tc_fun(tc_fun(_u14211, tc_prod(_u14211, _u14211)), tc_fun(_u14211, tc_HOL_Obool)), tc_prod(_u14211, _u14211)), c_COMBB(tc_prod(_u14211, _u14211), tc_HOL_Obool, _u14211)), c_fequal)), hAPP(hAPP(c_COMBS(_u14211, _u14211, tc_prod(_u14211, _u14211)), c_Product__Type_OPair(_u14211, _u14211)), c_COMBI(_u14211)))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_irrefl__diff__Id ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_irrefl__diff__Id-1, axiom, ( c_Relation_Oirrefl(_u14212, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14212, _u14212), tc_HOL_Obool)), _u14213), c_Relation_OId(_u14212))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_pred__nat__trancl__eq__le ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_pred__nat__trancl__eq__le-1, axiom, ( ~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), _u14216), _u14218)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14216), _u14218)) )).
% 19.51/19.72 cnf(fact_pred__nat__trancl__eq__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14217), _u14219)) | 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), _u14217), _u14219)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_trancl__subset__Sigma__aux ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_trancl__subset__Sigma__aux-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14220, _u14220)), hAPP(hAPP(c_Product__Type_OPair(_u14220, _u14220), _u14221), _u14222)), c_Transitive__Closure_Ortrancl(_u14220, _u14223))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14220, _u14220), tc_HOL_Obool)), _u14223), hAPP(hAPP(c_Product__Type_OSigma(_u14220, _u14220), _u14224), hAPP(c_COMBK(tc_fun(_u14220, tc_HOL_Obool), _u14220), _u14224)))) | ( _u14221 = _u14222) | hBOOL(hAPP(hAPP(c_member(_u14220), _u14221), _u14224)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_irrefl__tranclI ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_irrefl__tranclI-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14225, _u14225), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u14225, _u14225), _u14226)), c_Transitive__Closure_Ortrancl(_u14225, _u14226)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14225, _u14225), tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14225, _u14225)), hAPP(hAPP(c_Product__Type_OPair(_u14225, _u14225), _u14227), _u14227)), c_Transitive__Closure_Otrancl(_u14225, _u14226))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_sequence__trans ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_sequence__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14229, _u14229)), hAPP(hAPP(c_Product__Type_OPair(_u14229, _u14229), hAPP(_u14230, hAPP(c_Nat_OSuc, skolem358(_u14233, _u14232, _u14231, _u14230, _u14229)))), hAPP(_u14230, skolem358(_u14233, _u14232, _u14231, _u14230, _u14229)))), c_Transitive__Closure_Ortrancl(_u14229, _u14231))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14229, _u14229)), hAPP(hAPP(c_Product__Type_OPair(_u14229, _u14229), hAPP(_u14230, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14232), _u14233))), hAPP(_u14230, _u14232))), c_Transitive__Closure_Ortrancl(_u14229, _u14231))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_total__on__diff__Id ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_total__on__diff__Id-1, axiom, ( ~c_Relation_Ototal__on(_u14237, _u14239, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14237, _u14237), tc_HOL_Obool)), _u14241), c_Relation_OId(_u14237))) | c_Relation_Ototal__on(_u14237, _u14239, _u14241) )).
% 19.51/19.72 cnf(fact_total__on__diff__Id-2, axiom, ( ~c_Relation_Ototal__on(_u14238, _u14240, _u14242) | c_Relation_Ototal__on(_u14238, _u14240, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14238, _u14238), tc_HOL_Obool)), _u14242), c_Relation_OId(_u14238))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rtrancl__converse ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rtrancl__converse-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14243, hAPP(c_Relation_Oconverse(_u14243, _u14243), _u14244)) = hAPP(c_Relation_Oconverse(_u14243, _u14243), c_Transitive__Closure_Ortrancl(_u14243, _u14244))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_converse__Id ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_converse__Id-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14245, _u14245), c_Relation_OId(_u14245)) = c_Relation_OId(_u14245)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_acyclic__converse ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_acyclic__converse-1, axiom, ( ~c_Wellfounded_Oacyclic(_u14248, hAPP(c_Relation_Oconverse(_u14248, _u14248), _u14250)) | c_Wellfounded_Oacyclic(_u14248, _u14250) )).
% 19.51/19.72 cnf(fact_acyclic__converse-2, axiom, ( ~c_Wellfounded_Oacyclic(_u14249, _u14251) | c_Wellfounded_Oacyclic(_u14249, hAPP(c_Relation_Oconverse(_u14249, _u14249), _u14251)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_refl__on__converse ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_refl__on__converse-1, axiom, ( ~c_Relation_Orefl__on(_u14255, _u14257, hAPP(c_Relation_Oconverse(_u14255, _u14255), _u14259)) | c_Relation_Orefl__on(_u14255, _u14257, _u14259) )).
% 19.51/19.72 cnf(fact_refl__on__converse-2, axiom, ( ~c_Relation_Orefl__on(_u14256, _u14258, _u14260) | c_Relation_Orefl__on(_u14256, _u14258, hAPP(c_Relation_Oconverse(_u14256, _u14256), _u14260)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_converse__inv__image ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_converse__inv__image-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14261, _u14261), hAPP(hAPP(c_Relation_Oinv__image(_u14262, _u14261), _u14263), _u14264)) = hAPP(hAPP(c_Relation_Oinv__image(_u14262, _u14261), hAPP(c_Relation_Oconverse(_u14262, _u14262), _u14263)), _u14264)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Field__converse ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Field__converse-1, axiom, ( ( hAPP(c_Relation_OField(_u14265), hAPP(c_Relation_Oconverse(_u14265, _u14265), _u14266)) = hAPP(c_Relation_OField(_u14265), _u14266)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_finite__converse ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_finite__converse-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14270, _u14272)), hAPP(c_Relation_Oconverse(_u14272, _u14270), _u14274))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14272, _u14270)), _u14274)) )).
% 19.51/19.72 cnf(fact_finite__converse-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14273, _u14271)), _u14275)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14271, _u14273)), hAPP(c_Relation_Oconverse(_u14273, _u14271), _u14275))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_total__on__converse ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_total__on__converse-1, axiom, ( ~c_Relation_Ototal__on(_u14279, _u14281, hAPP(c_Relation_Oconverse(_u14279, _u14279), _u14283)) | c_Relation_Ototal__on(_u14279, _u14281, _u14283) )).
% 19.51/19.72 cnf(fact_total__on__converse-2, axiom, ( ~c_Relation_Ototal__on(_u14280, _u14282, _u14284) | c_Relation_Ototal__on(_u14280, _u14282, hAPP(c_Relation_Oconverse(_u14280, _u14280), _u14284)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_converse__converse ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_converse__converse-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14285, _u14286), hAPP(c_Relation_Oconverse(_u14286, _u14285), _u14287)) = _u14287) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_converse__Id__on ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_converse__Id__on-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14288, _u14288), c_Relation_OId__on(_u14288, _u14289)) = c_Relation_OId__on(_u14288, _u14289)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_converse__Int ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_converse__Int-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14290, _u14291), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14290, _u14291), tc_HOL_Obool)), _u14292), _u14293)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14291, _u14290), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u14290, _u14291), _u14292)), hAPP(c_Relation_Oconverse(_u14290, _u14291), _u14293))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_converse__Un ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_converse__Un-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14294, _u14295), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14294, _u14295), tc_HOL_Obool)), _u14296), _u14297)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14295, _u14294), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u14294, _u14295), _u14296)), hAPP(c_Relation_Oconverse(_u14294, _u14295), _u14297))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_converse__rel__comp ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_converse__rel__comp-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14298, _u14299), hAPP(hAPP(c_Relation_Orel__comp(_u14298, _u14300, _u14299), _u14301), _u14302)) = hAPP(hAPP(c_Relation_Orel__comp(_u14299, _u14300, _u14298), hAPP(c_Relation_Oconverse(_u14300, _u14299), _u14302)), hAPP(c_Relation_Oconverse(_u14298, _u14300), _u14301))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_converse__UNION ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_converse__UNION-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14303, _u14304), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14305, tc_fun(tc_prod(_u14303, _u14304), tc_HOL_Obool)), _u14306), _u14307)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14305, tc_fun(tc_prod(_u14304, _u14303), tc_HOL_Obool)), _u14306), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14303, _u14304), tc_HOL_Obool), tc_fun(tc_prod(_u14304, _u14303), tc_HOL_Obool), _u14305), c_Relation_Oconverse(_u14303, _u14304)), _u14307))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_converseD ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14308, _u14309)), hAPP(hAPP(c_Product__Type_OPair(_u14308, _u14309), _u14310), _u14311)), hAPP(c_Relation_Oconverse(_u14309, _u14308), _u14312))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14309, _u14308)), hAPP(hAPP(c_Product__Type_OPair(_u14309, _u14308), _u14311), _u14310)), _u14312)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_converseI ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14313, _u14314)), hAPP(hAPP(c_Product__Type_OPair(_u14313, _u14314), _u14315), _u14316)), _u14317)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14314, _u14313)), hAPP(hAPP(c_Product__Type_OPair(_u14314, _u14313), _u14316), _u14315)), hAPP(c_Relation_Oconverse(_u14313, _u14314), _u14317))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_converse__iff ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_converse__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14323, _u14325)), hAPP(hAPP(c_Product__Type_OPair(_u14323, _u14325), _u14327), _u14329)), hAPP(c_Relation_Oconverse(_u14325, _u14323), _u14331))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14325, _u14323)), hAPP(hAPP(c_Product__Type_OPair(_u14325, _u14323), _u14329), _u14327)), _u14331)) )).
% 19.51/19.72 cnf(fact_converse__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14326, _u14324)), hAPP(hAPP(c_Product__Type_OPair(_u14326, _u14324), _u14330), _u14328)), _u14332)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14324, _u14326)), hAPP(hAPP(c_Product__Type_OPair(_u14324, _u14326), _u14328), _u14330)), hAPP(c_Relation_Oconverse(_u14326, _u14324), _u14332))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_converse__INTER ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_converse__INTER-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14333, _u14334), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14335, tc_fun(tc_prod(_u14333, _u14334), tc_HOL_Obool)), _u14336), _u14337)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14335, tc_fun(tc_prod(_u14334, _u14333), tc_HOL_Obool)), _u14336), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14333, _u14334), tc_HOL_Obool), tc_fun(tc_prod(_u14334, _u14333), tc_HOL_Obool), _u14335), c_Relation_Oconverse(_u14333, _u14334)), _u14337))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_trancl__converse ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_trancl__converse-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14338, hAPP(c_Relation_Oconverse(_u14338, _u14338), _u14339)) = hAPP(c_Relation_Oconverse(_u14338, _u14338), c_Transitive__Closure_Otrancl(_u14338, _u14339))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__converse__trancl ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__converse__trancl-1, axiom, ( ~c_Wellfounded_Owf(_u14340, hAPP(c_Relation_Oconverse(_u14340, _u14340), _u14341)) | c_Wellfounded_Owf(_u14340, hAPP(c_Relation_Oconverse(_u14340, _u14340), c_Transitive__Closure_Otrancl(_u14340, _u14341))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_equiv__comp__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_equiv__comp__eq-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u14342, _u14343, _u14344) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14342, _u14342, _u14342), hAPP(c_Relation_Oconverse(_u14342, _u14342), _u14344)), _u14344) = _u14344) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Range__converse ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Range__converse-1, axiom, ( ( hAPP(c_Relation_ORange(_u14345, _u14346), hAPP(c_Relation_Oconverse(_u14346, _u14345), _u14347)) = hAPP(c_Relation_ODomain(_u14346, _u14345), _u14347)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Domain__converse ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Domain__converse-1, axiom, ( ( hAPP(c_Relation_ODomain(_u14348, _u14349), hAPP(c_Relation_Oconverse(_u14349, _u14348), _u14350)) = hAPP(c_Relation_ORange(_u14349, _u14348), _u14350)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Range__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Range__def-1, axiom, ( ( hAPP(c_Relation_ORange(_u14351, _u14352), _u14353) = hAPP(c_Relation_ODomain(_u14352, _u14351), hAPP(c_Relation_Oconverse(_u14351, _u14352), _u14353))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_total__on__empty ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_total__on__empty-1, axiom, ( c_Relation_Ototal__on(_u14354, c_Orderings_Obot__class_Obot(tc_fun(_u14354, tc_HOL_Obool)), _u14355) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rtrancl__converseI ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rtrancl__converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14356, _u14356)), hAPP(hAPP(c_Product__Type_OPair(_u14356, _u14356), _u14357), _u14358)), c_Transitive__Closure_Ortrancl(_u14356, _u14359))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14356, _u14356)), hAPP(hAPP(c_Product__Type_OPair(_u14356, _u14356), _u14358), _u14357)), c_Transitive__Closure_Ortrancl(_u14356, hAPP(c_Relation_Oconverse(_u14356, _u14356), _u14359)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rtrancl__converseD ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rtrancl__converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14360, _u14360)), hAPP(hAPP(c_Product__Type_OPair(_u14360, _u14360), _u14361), _u14362)), c_Transitive__Closure_Ortrancl(_u14360, hAPP(c_Relation_Oconverse(_u14360, _u14360), _u14363)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14360, _u14360)), hAPP(hAPP(c_Product__Type_OPair(_u14360, _u14360), _u14362), _u14361)), c_Transitive__Closure_Ortrancl(_u14360, _u14363))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_trancl__converseI ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_trancl__converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14364, _u14364)), hAPP(hAPP(c_Product__Type_OPair(_u14364, _u14364), _u14365), _u14366)), hAPP(c_Relation_Oconverse(_u14364, _u14364), c_Transitive__Closure_Otrancl(_u14364, _u14367)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14364, _u14364)), hAPP(hAPP(c_Product__Type_OPair(_u14364, _u14364), _u14365), _u14366)), c_Transitive__Closure_Otrancl(_u14364, hAPP(c_Relation_Oconverse(_u14364, _u14364), _u14367)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_trancl__converseD ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_trancl__converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14368, _u14368)), hAPP(hAPP(c_Product__Type_OPair(_u14368, _u14368), _u14369), _u14370)), c_Transitive__Closure_Otrancl(_u14368, hAPP(c_Relation_Oconverse(_u14368, _u14368), _u14371)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14368, _u14368)), hAPP(hAPP(c_Product__Type_OPair(_u14368, _u14368), _u14369), _u14370)), hAPP(c_Relation_Oconverse(_u14368, _u14368), c_Transitive__Closure_Otrancl(_u14368, _u14371)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Image__subset__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Image__subset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14377, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14379, _u14377, _u14381), _u14383)), _u14385)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14379, tc_HOL_Obool)), _u14383), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14379, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14377, _u14379, hAPP(c_Relation_Oconverse(_u14379, _u14377), _u14381)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14377, tc_HOL_Obool)), _u14385))))) )).
% 19.51/19.72 cnf(fact_Image__subset__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14380, tc_HOL_Obool)), _u14384), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14380, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14378, _u14380, hAPP(c_Relation_Oconverse(_u14380, _u14378), _u14382)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14378, tc_HOL_Obool)), _u14386))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14378, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14380, _u14378, _u14382), _u14384)), _u14386)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_refl__on__comp__subset ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_refl__on__comp__subset-1, axiom, ( ~c_Relation_Orefl__on(_u14387, _u14388, _u14389) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14387, _u14387), tc_HOL_Obool)), _u14389), hAPP(hAPP(c_Relation_Orel__comp(_u14387, _u14387, _u14387), hAPP(c_Relation_Oconverse(_u14387, _u14387), _u14389)), _u14389))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_comp__equivI ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_comp__equivI-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14390, _u14390, _u14390), hAPP(c_Relation_Oconverse(_u14390, _u14390), _u14391)), _u14391) != _u14391) | ( hAPP(c_Relation_ODomain(_u14390, _u14390), _u14391) != _u14392) | c_Equiv__Relations_Oequiv(_u14390, _u14392, _u14391) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_finite__acyclic__wf__converse ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_finite__acyclic__wf__converse-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14393, _u14393)), _u14394)) | ~c_Wellfounded_Oacyclic(_u14393, _u14394) | c_Wellfounded_Owf(_u14393, hAPP(c_Relation_Oconverse(_u14393, _u14393), _u14394)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_total__on__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_total__on__def-1, axiom, ( ~c_Relation_Ototal__on(_u14402, _u14404, _u14406) | ~hBOOL(hAPP(hAPP(c_member(_u14402), _u14396), _u14404)) | ~hBOOL(hAPP(hAPP(c_member(_u14402), _u14395), _u14404)) | ( _u14396 = _u14395) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14402, _u14402)), hAPP(hAPP(c_Product__Type_OPair(_u14402, _u14402), _u14396), _u14395)), _u14406)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14402, _u14402)), hAPP(hAPP(c_Product__Type_OPair(_u14402, _u14402), _u14395), _u14396)), _u14406)) )).
% 19.51/19.72 cnf(fact_total__on__def-2, axiom, ( c_Relation_Ototal__on(_u14403, _u14405, _u14407) | hBOOL(hAPP(hAPP(c_member(_u14403), skolem359(_u14407, _u14405, _u14403)), _u14405)) )).
% 19.51/19.72 cnf(fact_total__on__def-3, axiom, ( c_Relation_Ototal__on(_u14403, _u14405, _u14407) | hBOOL(hAPP(hAPP(c_member(_u14403), skolem360(_u14407, _u14405, _u14403)), _u14405)) )).
% 19.51/19.72 cnf(fact_total__on__def-4, axiom, ( c_Relation_Ototal__on(_u14403, _u14405, _u14407) | ( skolem359(_u14407, _u14405, _u14403) != skolem360(_u14407, _u14405, _u14403)) )).
% 19.51/19.72 cnf(fact_total__on__def-5, axiom, ( c_Relation_Ototal__on(_u14403, _u14405, _u14407) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14403, _u14403)), hAPP(hAPP(c_Product__Type_OPair(_u14403, _u14403), skolem359(_u14407, _u14405, _u14403)), skolem360(_u14407, _u14405, _u14403))), _u14407)) )).
% 19.51/19.72 cnf(fact_total__on__def-6, axiom, ( c_Relation_Ototal__on(_u14403, _u14405, _u14407) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14403, _u14403)), hAPP(hAPP(c_Product__Type_OPair(_u14403, _u14403), skolem360(_u14407, _u14405, _u14403)), skolem359(_u14407, _u14405, _u14403))), _u14407)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_converse__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_converse__def-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14408, _u14409), _u14410) = hAPP(c_Set_OCollect(tc_prod(_u14409, _u14408)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14409, _u14408, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14409, tc_fun(tc_prod(_u14408, _u14409), tc_HOL_Obool), tc_fun(_u14408, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14408, tc_fun(tc_fun(tc_prod(_u14408, _u14409), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14408, _u14409), tc_HOL_Obool), tc_fun(_u14408, tc_HOL_Obool)), _u14409), c_COMBC(_u14408, tc_fun(tc_prod(_u14408, _u14409), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14408, tc_prod(_u14408, _u14409)), tc_fun(_u14408, tc_fun(tc_fun(tc_prod(_u14408, _u14409), tc_HOL_Obool), tc_HOL_Obool)), _u14409), hAPP(c_COMBB(tc_prod(_u14408, _u14409), tc_fun(tc_fun(tc_prod(_u14408, _u14409), tc_HOL_Obool), tc_HOL_Obool), _u14408), c_member(tc_prod(_u14408, _u14409)))), hAPP(c_COMBC(_u14408, _u14409, tc_prod(_u14408, _u14409)), c_Product__Type_OPair(_u14408, _u14409))))), _u14410)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Image__INT__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Image__INT__eq-1, axiom, ( ~c_Relation_Osingle__valued(_u14411, _u14412, hAPP(c_Relation_Oconverse(_u14412, _u14411), _u14413)) | ( _u14414 = c_Orderings_Obot__class_Obot(tc_fun(_u14415, tc_HOL_Obool))) | ( hAPP(c_Relation_OImage(_u14412, _u14411, _u14413), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14415, tc_fun(_u14412, tc_HOL_Obool)), _u14414), _u14416)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14415, tc_fun(_u14411, tc_HOL_Obool)), _u14414), hAPP(hAPP(c_COMBB(tc_fun(_u14412, tc_HOL_Obool), tc_fun(_u14411, tc_HOL_Obool), _u14415), c_Relation_OImage(_u14412, _u14411, _u14413)), _u14416))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rtrancl__imp__UN__rel__pow ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rtrancl__imp__UN__rel__pow-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14417, _u14417)), _u14418), c_Transitive__Closure_Ortrancl(_u14417, _u14419))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14417, _u14417)), _u14418), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u14417, _u14417), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_prod(_u14417, _u14417), tc_HOL_Obool), tc_fun(tc_prod(_u14417, _u14417), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u14417, _u14417), tc_HOL_Obool)), _u14419)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_single__valued__Id ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_single__valued__Id-1, axiom, ( c_Relation_Osingle__valued(_u14420, _u14420, c_Relation_OId(_u14420)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rel__pow__1 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rel__pow__1-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14421, _u14421), tc_HOL_Obool), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u14422) = _u14422) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_single__valued__rel__pow ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_single__valued__rel__pow-1, axiom, ( ~c_Relation_Osingle__valued(_u14423, _u14423, _u14424) | c_Relation_Osingle__valued(_u14423, _u14423, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14423, _u14423), tc_HOL_Obool), _u14425), _u14424)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rel__pow__commute ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rel__pow__commute-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14426, _u14426, _u14426), _u14427), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14426, _u14426), tc_HOL_Obool), _u14428), _u14427)) = hAPP(hAPP(c_Relation_Orel__comp(_u14426, _u14426, _u14426), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14426, _u14426), tc_HOL_Obool), _u14428), _u14427)), _u14427)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_comp__funpow ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_comp__funpow-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_fun(_u14429, _u14430), tc_fun(_u14429, _u14430)), _u14431), c_Fun_Ocomp(_u14430, _u14430, _u14429, _u14432)) = c_Fun_Ocomp(_u14430, _u14430, _u14429, hAPP(hAPP(c_Nat_Ocompow(_u14430, _u14430), _u14431), _u14432))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_single__valued__rel__comp ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_single__valued__rel__comp-1, axiom, ( ~c_Relation_Osingle__valued(_u14433, _u14434, _u14435) | ~c_Relation_Osingle__valued(_u14434, _u14436, _u14437) | c_Relation_Osingle__valued(_u14433, _u14436, hAPP(hAPP(c_Relation_Orel__comp(_u14433, _u14434, _u14436), _u14435), _u14437)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_wf__exp ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_wf__exp-1, axiom, ( ~c_Wellfounded_Owf(_u14438, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14438, _u14438), tc_HOL_Obool), _u14439), _u14440)) | c_Wellfounded_Owf(_u14438, _u14440) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_single__valued__subset ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_single__valued__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14441, _u14442), tc_HOL_Obool)), _u14443), _u14444)) | ~c_Relation_Osingle__valued(_u14441, _u14442, _u14444) | c_Relation_Osingle__valued(_u14441, _u14442, _u14443) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_funpow__swap1 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_funpow__swap1-1, axiom, ( ( hAPP(_u14445, hAPP(hAPP(hAPP(c_Nat_Ocompow(_u14446, _u14446), _u14447), _u14445), _u14448)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(_u14446, _u14446), _u14447), _u14445), hAPP(_u14445, _u14448))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_funpow__mult ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_funpow__mult-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14449, _u14449), _u14450), hAPP(hAPP(c_Nat_Ocompow(_u14449, _u14449), _u14451), _u14452)) = hAPP(hAPP(c_Nat_Ocompow(_u14449, _u14449), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u14451), _u14450)), _u14452)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rel__pow__imp__rtrancl ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rel__pow__imp__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14453, _u14453)), _u14454), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14453, _u14453), tc_HOL_Obool), _u14455), _u14456))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14453, _u14453)), _u14454), c_Transitive__Closure_Ortrancl(_u14453, _u14456))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rtrancl__power ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rtrancl__power-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14462, _u14462)), _u14464), c_Transitive__Closure_Ortrancl(_u14462, _u14466))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14462, _u14462)), _u14464), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14462, _u14462), tc_HOL_Obool), skolem361(_u14466, _u14464, _u14462)), _u14466))) )).
% 19.51/19.72 cnf(fact_rtrancl__power-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14463, _u14463)), _u14465), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14463, _u14463), tc_HOL_Obool), _u14458), _u14467))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14463, _u14463)), _u14465), c_Transitive__Closure_Ortrancl(_u14463, _u14467))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_single__valued__Id__on ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_single__valued__Id__on-1, axiom, ( c_Relation_Osingle__valued(_u14468, _u14468, c_Relation_OId__on(_u14468, _u14469)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_relpow_Osimps_I2_J ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_relpow_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14470, _u14470), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14471)), _u14472) = hAPP(hAPP(c_Relation_Orel__comp(_u14470, _u14470, _u14470), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14470, _u14470), tc_HOL_Obool), _u14471), _u14472)), _u14472)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rel__pow__add ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rel__pow__add-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14473, _u14473), tc_HOL_Obool), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14474), _u14475)), _u14476) = hAPP(hAPP(c_Relation_Orel__comp(_u14473, _u14473, _u14473), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14473, _u14473), tc_HOL_Obool), _u14474), _u14476)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14473, _u14473), tc_HOL_Obool), _u14475), _u14476))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_relpow_Osimps_I1_J ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_relpow_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14477, _u14477), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14478) = c_Relation_OId(_u14477)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rel__pow__0__I ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rel__pow__0__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14479, _u14479)), hAPP(hAPP(c_Product__Type_OPair(_u14479, _u14479), _u14480), _u14480)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14479, _u14479), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14481))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rel__pow__0__E ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rel__pow__0__E-1, axiom, ( ( _u14483 = _u14484) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14482, _u14482)), hAPP(hAPP(c_Product__Type_OPair(_u14482, _u14482), _u14483), _u14484)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14482, _u14482), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14485))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rel__pow__Suc__I2 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rel__pow__Suc__I2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14486, _u14486)), hAPP(hAPP(c_Product__Type_OPair(_u14486, _u14486), _u14487), _u14488)), _u14489)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14486, _u14486)), hAPP(hAPP(c_Product__Type_OPair(_u14486, _u14486), _u14488), _u14490)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14486, _u14486), tc_HOL_Obool), _u14491), _u14489))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14486, _u14486)), hAPP(hAPP(c_Product__Type_OPair(_u14486, _u14486), _u14487), _u14490)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14486, _u14486), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14491)), _u14489))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rel__pow__Suc__I ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rel__pow__Suc__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14492, _u14492)), hAPP(hAPP(c_Product__Type_OPair(_u14492, _u14492), _u14493), _u14494)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14492, _u14492), tc_HOL_Obool), _u14495), _u14496))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14492, _u14492)), hAPP(hAPP(c_Product__Type_OPair(_u14492, _u14492), _u14494), _u14497)), _u14496)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14492, _u14492)), hAPP(hAPP(c_Product__Type_OPair(_u14492, _u14492), _u14493), _u14497)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14492, _u14492), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14495)), _u14496))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_funpow_Osimps_I2_J ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_funpow_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14498, _u14498), hAPP(c_Nat_OSuc, _u14499)), _u14500) = hAPP(c_Fun_Ocomp(_u14498, _u14498, _u14498, _u14500), hAPP(hAPP(c_Nat_Ocompow(_u14498, _u14498), _u14499), _u14500))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_funpow__add ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_funpow__add-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14501, _u14501), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14502), _u14503)), _u14504) = hAPP(c_Fun_Ocomp(_u14501, _u14501, _u14501, hAPP(hAPP(c_Nat_Ocompow(_u14501, _u14501), _u14502), _u14504)), hAPP(hAPP(c_Nat_Ocompow(_u14501, _u14501), _u14503), _u14504))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_single__valued__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_single__valued__def-1, axiom, ( ~c_Relation_Osingle__valued(_u14514, _u14516, _u14518) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14514, _u14516)), hAPP(hAPP(c_Product__Type_OPair(_u14514, _u14516), _u14507), _u14506)), _u14518)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14514, _u14516)), hAPP(hAPP(c_Product__Type_OPair(_u14514, _u14516), _u14507), _u14505)), _u14518)) | ( _u14506 = _u14505) )).
% 19.51/19.72 cnf(fact_single__valued__def-2, axiom, ( c_Relation_Osingle__valued(_u14515, _u14517, _u14519) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14515, _u14517)), hAPP(hAPP(c_Product__Type_OPair(_u14515, _u14517), skolem362(_u14519, _u14517, _u14515)), skolem363(_u14519, _u14517, _u14515))), _u14519)) )).
% 19.51/19.72 cnf(fact_single__valued__def-3, axiom, ( c_Relation_Osingle__valued(_u14515, _u14517, _u14519) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14515, _u14517)), hAPP(hAPP(c_Product__Type_OPair(_u14515, _u14517), skolem362(_u14519, _u14517, _u14515)), skolem364(_u14519, _u14517, _u14515))), _u14519)) )).
% 19.51/19.72 cnf(fact_single__valued__def-4, axiom, ( c_Relation_Osingle__valued(_u14515, _u14517, _u14519) | ( skolem363(_u14519, _u14517, _u14515) != skolem364(_u14519, _u14517, _u14515)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_single__valuedD ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_single__valuedD-1, axiom, ( ~c_Relation_Osingle__valued(_u14520, _u14521, _u14522) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14520, _u14521)), hAPP(hAPP(c_Product__Type_OPair(_u14520, _u14521), _u14523), _u14524)), _u14522)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14520, _u14521)), hAPP(hAPP(c_Product__Type_OPair(_u14520, _u14521), _u14523), _u14525)), _u14522)) | ( _u14524 = _u14525) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_funpow_Osimps_I1_J ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_funpow_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14526, _u14526), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14527) = c_Fun_Oid(_u14526)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_trancl__power ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_trancl__power-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14533, _u14533)), _u14535), c_Transitive__Closure_Otrancl(_u14533, _u14537))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem365(_u14537, _u14535, _u14533))) )).
% 19.51/19.72 cnf(fact_trancl__power-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14533, _u14533)), _u14535), c_Transitive__Closure_Otrancl(_u14533, _u14537))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14533, _u14533)), _u14535), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14533, _u14533), tc_HOL_Obool), skolem365(_u14537, _u14535, _u14533)), _u14537))) )).
% 19.51/19.72 cnf(fact_trancl__power-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14529)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14534, _u14534)), _u14536), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14534, _u14534), tc_HOL_Obool), _u14529), _u14538))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14534, _u14534)), _u14536), c_Transitive__Closure_Otrancl(_u14534, _u14538))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rtrancl__is__UN__rel__pow ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rtrancl__is__UN__rel__pow-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14539, _u14540) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u14539, _u14539), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_prod(_u14539, _u14539), tc_HOL_Obool), tc_fun(tc_prod(_u14539, _u14539), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u14539, _u14539), tc_HOL_Obool)), _u14540))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_single__valued__confluent ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_single__valued__confluent-1, axiom, ( ~c_Relation_Osingle__valued(_u14541, _u14541, _u14542) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14541, _u14541)), hAPP(hAPP(c_Product__Type_OPair(_u14541, _u14541), _u14543), _u14544)), c_Transitive__Closure_Ortrancl(_u14541, _u14542))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14541, _u14541)), hAPP(hAPP(c_Product__Type_OPair(_u14541, _u14541), _u14543), _u14545)), c_Transitive__Closure_Ortrancl(_u14541, _u14542))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14541, _u14541)), hAPP(hAPP(c_Product__Type_OPair(_u14541, _u14541), _u14544), _u14545)), c_Transitive__Closure_Ortrancl(_u14541, _u14542))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14541, _u14541)), hAPP(hAPP(c_Product__Type_OPair(_u14541, _u14541), _u14545), _u14544)), c_Transitive__Closure_Ortrancl(_u14541, _u14542))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Image__Int__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Image__Int__eq-1, axiom, ( ~c_Relation_Osingle__valued(_u14546, _u14547, hAPP(c_Relation_Oconverse(_u14547, _u14546), _u14548)) | ( hAPP(c_Relation_OImage(_u14547, _u14546, _u14548), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14547, tc_HOL_Obool)), _u14549), _u14550)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14546, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14547, _u14546, _u14548), _u14549)), hAPP(c_Relation_OImage(_u14547, _u14546, _u14548), _u14550))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_funpow__code__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_funpow__code__def-1, axiom, ( ( c_Nat_Ofunpow(_u14551) = c_Nat_Ocompow(_u14551, _u14551)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rel__pow__E ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rel__pow__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14554, _u14554)), hAPP(hAPP(c_Product__Type_OPair(_u14554, _u14554), _u14555), _u14556)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14554, _u14554), tc_HOL_Obool), _u14557), _u14558))) | ( _u14557 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u14557 = hAPP(c_Nat_OSuc, skolem367(_u14558, _u14557, _u14556, _u14555, _u14554))) )).
% 19.51/19.72 cnf(fact_rel__pow__E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14554, _u14554)), hAPP(hAPP(c_Product__Type_OPair(_u14554, _u14554), _u14555), _u14556)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14554, _u14554), tc_HOL_Obool), _u14557), _u14558))) | ( _u14557 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14554, _u14554)), hAPP(hAPP(c_Product__Type_OPair(_u14554, _u14554), _u14555), skolem366(_u14558, _u14557, _u14556, _u14555, _u14554))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14554, _u14554), tc_HOL_Obool), skolem367(_u14558, _u14557, _u14556, _u14555, _u14554)), _u14558))) )).
% 19.51/19.72 cnf(fact_rel__pow__E-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14554, _u14554)), hAPP(hAPP(c_Product__Type_OPair(_u14554, _u14554), _u14555), _u14556)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14554, _u14554), tc_HOL_Obool), _u14557), _u14558))) | ( _u14557 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14554, _u14554)), hAPP(hAPP(c_Product__Type_OPair(_u14554, _u14554), skolem366(_u14558, _u14557, _u14556, _u14555, _u14554)), _u14556)), _u14558)) )).
% 19.51/19.72 cnf(fact_rel__pow__E-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14554, _u14554)), hAPP(hAPP(c_Product__Type_OPair(_u14554, _u14554), _u14555), _u14556)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14554, _u14554), tc_HOL_Obool), _u14557), _u14558))) | ( _u14555 = _u14556) | ( _u14557 = hAPP(c_Nat_OSuc, skolem367(_u14558, _u14557, _u14556, _u14555, _u14554))) )).
% 19.51/19.72 cnf(fact_rel__pow__E-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14554, _u14554)), hAPP(hAPP(c_Product__Type_OPair(_u14554, _u14554), _u14555), _u14556)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14554, _u14554), tc_HOL_Obool), _u14557), _u14558))) | ( _u14555 = _u14556) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14554, _u14554)), hAPP(hAPP(c_Product__Type_OPair(_u14554, _u14554), _u14555), skolem366(_u14558, _u14557, _u14556, _u14555, _u14554))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14554, _u14554), tc_HOL_Obool), skolem367(_u14558, _u14557, _u14556, _u14555, _u14554)), _u14558))) )).
% 19.51/19.72 cnf(fact_rel__pow__E-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14554, _u14554)), hAPP(hAPP(c_Product__Type_OPair(_u14554, _u14554), _u14555), _u14556)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14554, _u14554), tc_HOL_Obool), _u14557), _u14558))) | ( _u14555 = _u14556) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14554, _u14554)), hAPP(hAPP(c_Product__Type_OPair(_u14554, _u14554), skolem366(_u14558, _u14557, _u14556, _u14555, _u14554)), _u14556)), _u14558)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rel__pow__E2 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rel__pow__E2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14561, _u14561)), hAPP(hAPP(c_Product__Type_OPair(_u14561, _u14561), _u14562), _u14563)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14561, _u14561), tc_HOL_Obool), _u14564), _u14565))) | ( _u14564 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u14564 = hAPP(c_Nat_OSuc, skolem369(_u14565, _u14564, _u14563, _u14562, _u14561))) )).
% 19.51/19.72 cnf(fact_rel__pow__E2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14561, _u14561)), hAPP(hAPP(c_Product__Type_OPair(_u14561, _u14561), _u14562), _u14563)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14561, _u14561), tc_HOL_Obool), _u14564), _u14565))) | ( _u14564 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14561, _u14561)), hAPP(hAPP(c_Product__Type_OPair(_u14561, _u14561), _u14562), skolem368(_u14565, _u14564, _u14563, _u14562, _u14561))), _u14565)) )).
% 19.51/19.72 cnf(fact_rel__pow__E2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14561, _u14561)), hAPP(hAPP(c_Product__Type_OPair(_u14561, _u14561), _u14562), _u14563)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14561, _u14561), tc_HOL_Obool), _u14564), _u14565))) | ( _u14564 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14561, _u14561)), hAPP(hAPP(c_Product__Type_OPair(_u14561, _u14561), skolem368(_u14565, _u14564, _u14563, _u14562, _u14561)), _u14563)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14561, _u14561), tc_HOL_Obool), skolem369(_u14565, _u14564, _u14563, _u14562, _u14561)), _u14565))) )).
% 19.51/19.72 cnf(fact_rel__pow__E2-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14561, _u14561)), hAPP(hAPP(c_Product__Type_OPair(_u14561, _u14561), _u14562), _u14563)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14561, _u14561), tc_HOL_Obool), _u14564), _u14565))) | ( _u14562 = _u14563) | ( _u14564 = hAPP(c_Nat_OSuc, skolem369(_u14565, _u14564, _u14563, _u14562, _u14561))) )).
% 19.51/19.72 cnf(fact_rel__pow__E2-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14561, _u14561)), hAPP(hAPP(c_Product__Type_OPair(_u14561, _u14561), _u14562), _u14563)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14561, _u14561), tc_HOL_Obool), _u14564), _u14565))) | ( _u14562 = _u14563) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14561, _u14561)), hAPP(hAPP(c_Product__Type_OPair(_u14561, _u14561), _u14562), skolem368(_u14565, _u14564, _u14563, _u14562, _u14561))), _u14565)) )).
% 19.51/19.72 cnf(fact_rel__pow__E2-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14561, _u14561)), hAPP(hAPP(c_Product__Type_OPair(_u14561, _u14561), _u14562), _u14563)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14561, _u14561), tc_HOL_Obool), _u14564), _u14565))) | ( _u14562 = _u14563) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14561, _u14561)), hAPP(hAPP(c_Product__Type_OPair(_u14561, _u14561), skolem368(_u14565, _u14564, _u14563, _u14562, _u14561)), _u14563)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14561, _u14561), tc_HOL_Obool), skolem369(_u14565, _u14564, _u14563, _u14562, _u14561)), _u14565))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rtrancl__Un__separatorE ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rtrancl__Un__separatorE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14568, _u14568)), hAPP(hAPP(c_Product__Type_OPair(_u14568, _u14568), _u14569), _u14570)), c_Transitive__Closure_Ortrancl(_u14568, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14568, _u14568), tc_HOL_Obool)), _u14571), _u14572)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14568, _u14568)), hAPP(hAPP(c_Product__Type_OPair(_u14568, _u14568), _u14569), _u14570)), c_Transitive__Closure_Ortrancl(_u14568, _u14571))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14568, _u14568)), hAPP(hAPP(c_Product__Type_OPair(_u14568, _u14568), _u14569), skolem370(_u14572, _u14571, _u14570, _u14569, _u14568))), c_Transitive__Closure_Ortrancl(_u14568, _u14571))) )).
% 19.51/19.72 cnf(fact_rtrancl__Un__separatorE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14568, _u14568)), hAPP(hAPP(c_Product__Type_OPair(_u14568, _u14568), _u14569), _u14570)), c_Transitive__Closure_Ortrancl(_u14568, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14568, _u14568), tc_HOL_Obool)), _u14571), _u14572)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14568, _u14568)), hAPP(hAPP(c_Product__Type_OPair(_u14568, _u14568), _u14569), _u14570)), c_Transitive__Closure_Ortrancl(_u14568, _u14571))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14568, _u14568)), hAPP(hAPP(c_Product__Type_OPair(_u14568, _u14568), skolem370(_u14572, _u14571, _u14570, _u14569, _u14568)), skolem371(_u14572, _u14571, _u14570, _u14569, _u14568))), _u14572)) )).
% 19.51/19.72 cnf(fact_rtrancl__Un__separatorE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14568, _u14568)), hAPP(hAPP(c_Product__Type_OPair(_u14568, _u14568), _u14569), _u14570)), c_Transitive__Closure_Ortrancl(_u14568, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14568, _u14568), tc_HOL_Obool)), _u14571), _u14572)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14568, _u14568)), hAPP(hAPP(c_Product__Type_OPair(_u14568, _u14568), _u14569), _u14570)), c_Transitive__Closure_Ortrancl(_u14568, _u14571))) | ( skolem370(_u14572, _u14571, _u14570, _u14569, _u14568) != skolem371(_u14572, _u14571, _u14570, _u14569, _u14568)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rtrancl__Un__separator__converseE ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rtrancl__Un__separator__converseE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14575, _u14575)), hAPP(hAPP(c_Product__Type_OPair(_u14575, _u14575), _u14576), _u14577)), c_Transitive__Closure_Ortrancl(_u14575, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14575, _u14575), tc_HOL_Obool)), _u14578), _u14579)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14575, _u14575)), hAPP(hAPP(c_Product__Type_OPair(_u14575, _u14575), _u14576), _u14577)), c_Transitive__Closure_Ortrancl(_u14575, _u14578))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14575, _u14575)), hAPP(hAPP(c_Product__Type_OPair(_u14575, _u14575), skolem372(_u14579, _u14578, _u14577, _u14576, _u14575)), _u14577)), c_Transitive__Closure_Ortrancl(_u14575, _u14578))) )).
% 19.51/19.72 cnf(fact_rtrancl__Un__separator__converseE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14575, _u14575)), hAPP(hAPP(c_Product__Type_OPair(_u14575, _u14575), _u14576), _u14577)), c_Transitive__Closure_Ortrancl(_u14575, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14575, _u14575), tc_HOL_Obool)), _u14578), _u14579)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14575, _u14575)), hAPP(hAPP(c_Product__Type_OPair(_u14575, _u14575), _u14576), _u14577)), c_Transitive__Closure_Ortrancl(_u14575, _u14578))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14575, _u14575)), hAPP(hAPP(c_Product__Type_OPair(_u14575, _u14575), skolem373(_u14579, _u14578, _u14577, _u14576, _u14575)), skolem372(_u14579, _u14578, _u14577, _u14576, _u14575))), _u14579)) )).
% 19.51/19.72 cnf(fact_rtrancl__Un__separator__converseE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14575, _u14575)), hAPP(hAPP(c_Product__Type_OPair(_u14575, _u14575), _u14576), _u14577)), c_Transitive__Closure_Ortrancl(_u14575, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14575, _u14575), tc_HOL_Obool)), _u14578), _u14579)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14575, _u14575)), hAPP(hAPP(c_Product__Type_OPair(_u14575, _u14575), _u14576), _u14577)), c_Transitive__Closure_Ortrancl(_u14575, _u14578))) | ( skolem373(_u14579, _u14578, _u14577, _u14576, _u14575) != skolem372(_u14579, _u14578, _u14577, _u14576, _u14575)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rel__pow__Suc__D2 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rel__pow__Suc__D2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14581, _u14581)), hAPP(hAPP(c_Product__Type_OPair(_u14581, _u14581), _u14582), _u14583)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14581, _u14581), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14584)), _u14585))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14581, _u14581)), hAPP(hAPP(c_Product__Type_OPair(_u14581, _u14581), _u14582), skolem374(_u14585, _u14584, _u14583, _u14582, _u14581))), _u14585)) )).
% 19.51/19.72 cnf(fact_rel__pow__Suc__D2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14581, _u14581)), hAPP(hAPP(c_Product__Type_OPair(_u14581, _u14581), _u14582), _u14583)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14581, _u14581), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14584)), _u14585))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14581, _u14581)), hAPP(hAPP(c_Product__Type_OPair(_u14581, _u14581), skolem374(_u14585, _u14584, _u14583, _u14582, _u14581)), _u14583)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14581, _u14581), tc_HOL_Obool), _u14584), _u14585))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rel__pow__Suc__E ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rel__pow__Suc__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14587, _u14587)), hAPP(hAPP(c_Product__Type_OPair(_u14587, _u14587), _u14588), _u14589)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14587, _u14587), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14590)), _u14591))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14587, _u14587)), hAPP(hAPP(c_Product__Type_OPair(_u14587, _u14587), _u14588), skolem375(_u14591, _u14590, _u14589, _u14588, _u14587))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14587, _u14587), tc_HOL_Obool), _u14590), _u14591))) )).
% 19.51/19.72 cnf(fact_rel__pow__Suc__E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14587, _u14587)), hAPP(hAPP(c_Product__Type_OPair(_u14587, _u14587), _u14588), _u14589)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14587, _u14587), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14590)), _u14591))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14587, _u14587)), hAPP(hAPP(c_Product__Type_OPair(_u14587, _u14587), skolem375(_u14591, _u14590, _u14589, _u14588, _u14587)), _u14589)), _u14591)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rel__pow__Suc__E2 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rel__pow__Suc__E2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14593, _u14593)), hAPP(hAPP(c_Product__Type_OPair(_u14593, _u14593), _u14594), _u14595)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14593, _u14593), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14596)), _u14597))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14593, _u14593)), hAPP(hAPP(c_Product__Type_OPair(_u14593, _u14593), _u14594), skolem376(_u14597, _u14596, _u14595, _u14594, _u14593))), _u14597)) )).
% 19.51/19.72 cnf(fact_rel__pow__Suc__E2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14593, _u14593)), hAPP(hAPP(c_Product__Type_OPair(_u14593, _u14593), _u14594), _u14595)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14593, _u14593), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14596)), _u14597))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14593, _u14593)), hAPP(hAPP(c_Product__Type_OPair(_u14593, _u14593), skolem376(_u14597, _u14596, _u14595, _u14594, _u14593)), _u14595)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14593, _u14593), tc_HOL_Obool), _u14596), _u14597))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_tranclD ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_tranclD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14599, _u14599)), hAPP(hAPP(c_Product__Type_OPair(_u14599, _u14599), _u14600), _u14601)), c_Transitive__Closure_Otrancl(_u14599, _u14602))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14599, _u14599)), hAPP(hAPP(c_Product__Type_OPair(_u14599, _u14599), _u14600), skolem377(_u14602, _u14601, _u14600, _u14599))), _u14602)) )).
% 19.51/19.72 cnf(fact_tranclD-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14599, _u14599)), hAPP(hAPP(c_Product__Type_OPair(_u14599, _u14599), _u14600), _u14601)), c_Transitive__Closure_Otrancl(_u14599, _u14602))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14599, _u14599)), hAPP(hAPP(c_Product__Type_OPair(_u14599, _u14599), skolem377(_u14602, _u14601, _u14600, _u14599)), _u14601)), c_Transitive__Closure_Ortrancl(_u14599, _u14602))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_tranclD2 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_tranclD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14604, _u14604)), hAPP(hAPP(c_Product__Type_OPair(_u14604, _u14604), _u14605), _u14606)), c_Transitive__Closure_Otrancl(_u14604, _u14607))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14604, _u14604)), hAPP(hAPP(c_Product__Type_OPair(_u14604, _u14604), _u14605), skolem378(_u14607, _u14606, _u14605, _u14604))), c_Transitive__Closure_Ortrancl(_u14604, _u14607))) )).
% 19.51/19.72 cnf(fact_tranclD2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14604, _u14604)), hAPP(hAPP(c_Product__Type_OPair(_u14604, _u14604), _u14605), _u14606)), c_Transitive__Closure_Otrancl(_u14604, _u14607))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14604, _u14604)), hAPP(hAPP(c_Product__Type_OPair(_u14604, _u14604), skolem378(_u14607, _u14606, _u14605, _u14604)), _u14606)), _u14607)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_IdE ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_IdE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14609, _u14609)), _u14610), c_Relation_OId(_u14609))) | ( _u14610 = hAPP(hAPP(c_Product__Type_OPair(_u14609, _u14609), skolem379(_u14610, _u14609)), skolem379(_u14610, _u14609))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_transfer__nat__int__set__cong ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_transfer__nat__int__set__cong-1, axiom, ( ( hAPP(c_Set_OCollect(tc_Int_Oint), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), _u14612)) = hAPP(c_Set_OCollect(tc_Int_Oint), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), _u14613))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem380(_u14613, _u14612))) )).
% 19.51/19.72 cnf(fact_transfer__nat__int__set__cong-2, axiom, ( ( hAPP(c_Set_OCollect(tc_Int_Oint), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), _u14612)) = hAPP(c_Set_OCollect(tc_Int_Oint), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), _u14613))) | hBOOL(hAPP(_u14612, skolem380(_u14613, _u14612))) | hBOOL(hAPP(_u14613, skolem380(_u14613, _u14612))) )).
% 19.51/19.72 cnf(fact_transfer__nat__int__set__cong-3, axiom, ( ( hAPP(c_Set_OCollect(tc_Int_Oint), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), _u14612)) = hAPP(c_Set_OCollect(tc_Int_Oint), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), _u14613))) | ~hBOOL(hAPP(_u14613, skolem380(_u14613, _u14612))) | ~hBOOL(hAPP(_u14612, skolem380(_u14613, _u14612))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Int__Collect__mono ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Int__Collect__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14615, tc_HOL_Obool)), _u14616), _u14617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14615, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14615, tc_HOL_Obool)), _u14616), hAPP(c_Set_OCollect(_u14615), _u14618))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14615, tc_HOL_Obool)), _u14617), hAPP(c_Set_OCollect(_u14615), _u14619)))) | hBOOL(hAPP(hAPP(c_member(_u14615), skolem381(_u14619, _u14618, _u14617, _u14616, _u14615)), _u14616)) )).
% 19.51/19.72 cnf(fact_Int__Collect__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14615, tc_HOL_Obool)), _u14616), _u14617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14615, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14615, tc_HOL_Obool)), _u14616), hAPP(c_Set_OCollect(_u14615), _u14618))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14615, tc_HOL_Obool)), _u14617), hAPP(c_Set_OCollect(_u14615), _u14619)))) | hBOOL(hAPP(_u14618, skolem381(_u14619, _u14618, _u14617, _u14616, _u14615))) )).
% 19.51/19.72 cnf(fact_Int__Collect__mono-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14615, tc_HOL_Obool)), _u14616), _u14617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14615, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14615, tc_HOL_Obool)), _u14616), hAPP(c_Set_OCollect(_u14615), _u14618))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14615, tc_HOL_Obool)), _u14617), hAPP(c_Set_OCollect(_u14615), _u14619)))) | ~hBOOL(hAPP(_u14619, skolem381(_u14619, _u14618, _u14617, _u14616, _u14615))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rel__compE ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rel__compE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14623, _u14624)), _u14625), hAPP(hAPP(c_Relation_Orel__comp(_u14623, _u14626, _u14624), _u14627), _u14628))) | ( _u14625 = hAPP(hAPP(c_Product__Type_OPair(_u14623, _u14624), skolem382(_u14628, _u14627, _u14626, _u14625, _u14624, _u14623)), skolem384(_u14628, _u14627, _u14626, _u14625, _u14624, _u14623))) )).
% 19.51/19.72 cnf(fact_rel__compE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14623, _u14624)), _u14625), hAPP(hAPP(c_Relation_Orel__comp(_u14623, _u14626, _u14624), _u14627), _u14628))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14623, _u14626)), hAPP(hAPP(c_Product__Type_OPair(_u14623, _u14626), skolem382(_u14628, _u14627, _u14626, _u14625, _u14624, _u14623)), skolem383(_u14628, _u14627, _u14626, _u14625, _u14624, _u14623))), _u14627)) )).
% 19.51/19.72 cnf(fact_rel__compE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14623, _u14624)), _u14625), hAPP(hAPP(c_Relation_Orel__comp(_u14623, _u14626, _u14624), _u14627), _u14628))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14626, _u14624)), hAPP(hAPP(c_Product__Type_OPair(_u14626, _u14624), skolem383(_u14628, _u14627, _u14626, _u14625, _u14624, _u14623)), skolem384(_u14628, _u14627, _u14626, _u14625, _u14624, _u14623))), _u14628)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_converseE ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_converseE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14631, _u14632)), _u14633), hAPP(c_Relation_Oconverse(_u14632, _u14631), _u14634))) | ( _u14633 = hAPP(hAPP(c_Product__Type_OPair(_u14631, _u14632), skolem386(_u14634, _u14633, _u14632, _u14631)), skolem385(_u14634, _u14633, _u14632, _u14631))) )).
% 19.51/19.72 cnf(fact_converseE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14631, _u14632)), _u14633), hAPP(c_Relation_Oconverse(_u14632, _u14631), _u14634))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14632, _u14631)), hAPP(hAPP(c_Product__Type_OPair(_u14632, _u14631), skolem385(_u14634, _u14633, _u14632, _u14631)), skolem386(_u14634, _u14633, _u14632, _u14631))), _u14634)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Nitpick_Oplus__frac__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Nitpick_Oplus__frac__def-1, axiom, ( ( c_Nitpick_Oplus__frac(_u14635, _u14636, _u14637) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u14635), c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(_u14635), _u14636), hAPP(c_Nitpick_Odenom(_u14635), _u14637))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, _u14635), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, _u14635), tc_Int_Oint), c_Nitpick_Ofrac(_u14635)), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Int_Oint)), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint), hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14635), _u14636))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint)), hAPP(c_Nitpick_Odenom(_u14635), _u14636))))), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint), hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14635), _u14637))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint)), hAPP(c_Nitpick_Odenom(_u14635), _u14637)))))), c_COMBI(tc_Int_Oint)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Nitpick_Otimes__frac__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Nitpick_Otimes__frac__def-1, axiom, ( ( c_Nitpick_Otimes__frac(_u14638, _u14639, _u14640) = hAPP(hAPP(c_Nitpick_Ofrac(_u14638), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14638), _u14639)), hAPP(c_Nitpick_Onum(_u14638), _u14640))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Odenom(_u14638), _u14639)), hAPP(c_Nitpick_Odenom(_u14638), _u14640)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Nitpick_Oof__frac__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Nitpick_Oof__frac__def-1, axiom, ( ~class_Rings_Oinverse(_u14641) | ~class_Rings_Oring__1(_u14641) | ( c_Nitpick_Oof__frac(_u14642, _u14641, _u14643) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u14641), hAPP(c_Int_Oring__1__class_Oof__int(_u14641), hAPP(c_Nitpick_Onum(_u14642), _u14643))), hAPP(c_Int_Oring__1__class_Oof__int(_u14641), hAPP(c_Nitpick_Odenom(_u14642), _u14643)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Nitpick_Oinverse__frac__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Nitpick_Oinverse__frac__def-1, axiom, ( ( c_Nitpick_Oinverse__frac(_u14644, _u14645) = hAPP(hAPP(c_Nitpick_Ofrac(_u14644), hAPP(c_Nitpick_Odenom(_u14644), _u14645)), hAPP(c_Nitpick_Onum(_u14644), _u14645))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Nitpick_Ouminus__frac__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Nitpick_Ouminus__frac__def-1, axiom, ( ( c_Nitpick_Ouminus__frac(_u14646, _u14647) = c_Nitpick_OAbs__Frac(_u14646, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14646), _u14647))), hAPP(c_Nitpick_Odenom(_u14646), _u14647)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Nitpick_Oless__frac__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Nitpick_Oless__frac__def-1, axiom, ( ~c_Nitpick_Oless__frac(_u14651, _u14653, _u14655) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14651), c_Nitpick_Oplus__frac(_u14651, _u14653, c_Nitpick_Ouminus__frac(_u14651, _u14655)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.72 cnf(fact_Nitpick_Oless__frac__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14652), c_Nitpick_Oplus__frac(_u14652, _u14654, c_Nitpick_Ouminus__frac(_u14652, _u14656)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__frac(_u14652, _u14654, _u14656) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Nitpick_Oless__eq__frac__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Nitpick_Oless__eq__frac__def-1, axiom, ( ~c_Nitpick_Oless__eq__frac(_u14660, _u14662, _u14664) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14660), c_Nitpick_Oplus__frac(_u14660, _u14662, c_Nitpick_Ouminus__frac(_u14660, _u14664)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.51/19.72 cnf(fact_Nitpick_Oless__eq__frac__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14661), c_Nitpick_Oplus__frac(_u14661, _u14663, c_Nitpick_Ouminus__frac(_u14661, _u14665)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__eq__frac(_u14661, _u14663, _u14665) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Nitpick_Odenom__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Nitpick_Odenom__def-1, axiom, ( ( c_Nitpick_Odenom(_u14666) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u14666, c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u14666))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Nitpick_Onum__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Nitpick_Onum__def-1, axiom, ( ( c_Nitpick_Onum(_u14667) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u14667, c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u14667))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_internal__split__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_internal__split__def-1, axiom, ( ( c_Product__Type_Ointernal__split(_u14668, _u14669, _u14670) = c_Product__Type_Oprod_Oprod__case(_u14668, _u14669, _u14670)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_bool_Osize_I1_J ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_bool_Osize_I1_J-1, axiom, ( ( c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_internal__split__conv ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_internal__split__conv-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Ointernal__split(_u14671, _u14672, _u14673), _u14674), hAPP(hAPP(c_Product__Type_OPair(_u14671, _u14672), _u14675), _u14676)) = hAPP(hAPP(_u14674, _u14675), _u14676)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_bool_Osize_I2_J ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_bool_Osize_I2_J-1, axiom, ( ( c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_finite__less__ub ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_finite__less__ub-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem387(_u14679, _u14678)), hAPP(_u14678, skolem387(_u14679, _u14678)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)), _u14678)), _u14679)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_lenlex__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_lenlex__def-1, axiom, ( ( c_List_Olenlex(_u14680, _u14681) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, tc_List_Olist(_u14680)), tc_List_Olist(_u14680)), c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_List_Olist(_u14680), c_Wellfounded_Oless__than, c_List_Olex(_u14680, _u14681))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14680), tc_List_Olist(_u14680), tc_prod(tc_Nat_Onat, tc_List_Olist(_u14680))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_List_Olist(_u14680), tc_prod(tc_Nat_Onat, tc_List_Olist(_u14680))), tc_List_Olist(_u14680)), c_Product__Type_OPair(tc_Nat_Onat, tc_List_Olist(_u14680))), c_Nat_Osize__class_Osize(tc_List_Olist(_u14680)))), c_COMBI(tc_List_Olist(_u14680))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_neq__if__length__neq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_neq__if__length__neq-1, axiom, ( ( _u14683 != _u14684) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14682)), _u14683) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14682)), _u14684)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_lexn__length ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_lexn__length-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14685), tc_List_Olist(_u14685))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14685), tc_List_Olist(_u14685)), _u14686), _u14687)), hAPP(c_List_Olexn(_u14685, _u14688), _u14689))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14685)), _u14686) = _u14689) )).
% 19.51/19.72 cnf(fact_lexn__length-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14685), tc_List_Olist(_u14685))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14685), tc_List_Olist(_u14685)), _u14686), _u14687)), hAPP(c_List_Olexn(_u14685, _u14688), _u14689))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14685)), _u14687) = _u14689) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_lenlex__conv ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_lenlex__conv-1, axiom, ( ( c_List_Olenlex(_u14690, _u14691) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u14690), tc_List_Olist(_u14690))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u14690), tc_List_Olist(_u14690), tc_HOL_Obool), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14690), tc_fun(tc_List_Olist(_u14690), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14690), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14690), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u14690), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14690), tc_HOL_Obool)), tc_List_Olist(_u14690)), c_COMBS(tc_List_Olist(_u14690), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14690), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14690), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u14690)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14690)), c_fdisj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14690), tc_fun(tc_List_Olist(_u14690), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14690), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14690), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14690), tc_HOL_Obool)), tc_List_Olist(_u14690)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u14690))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14690)), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u14690))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u14690)))))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14690), tc_fun(tc_List_Olist(_u14690), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14690), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14690), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u14690), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14690), tc_HOL_Obool)), tc_List_Olist(_u14690)), c_COMBS(tc_List_Olist(_u14690), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14690), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14690), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u14690)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14690)), c_fconj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14690), tc_fun(tc_List_Olist(_u14690), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14690), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14690), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14690), tc_HOL_Obool)), tc_List_Olist(_u14690)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u14690))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14690)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u14690))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u14690)))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14690), tc_fun(tc_prod(tc_List_Olist(_u14690), tc_List_Olist(_u14690)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14690), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14690), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14690), tc_List_Olist(_u14690)), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14690), tc_List_Olist(_u14690)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14690), tc_HOL_Obool)), tc_List_Olist(_u14690)), c_COMBC(tc_List_Olist(_u14690), tc_fun(tc_prod(tc_List_Olist(_u14690), tc_List_Olist(_u14690)), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14690), tc_prod(tc_List_Olist(_u14690), tc_List_Olist(_u14690))), tc_fun(tc_List_Olist(_u14690), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14690), tc_List_Olist(_u14690)), tc_HOL_Obool), tc_HOL_Obool)), tc_List_Olist(_u14690)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u14690), tc_List_Olist(_u14690)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14690), tc_List_Olist(_u14690)), tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u14690)), c_member(tc_prod(tc_List_Olist(_u14690), tc_List_Olist(_u14690))))), c_Product__Type_OPair(tc_List_Olist(_u14690), tc_List_Olist(_u14690))))), c_List_Olex(_u14690, _u14691))))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_length__sublist ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_length__sublist-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14692)), c_List_Osublist(_u14692, _u14693, _u14694)) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14692)), _u14693)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u14694))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_lexn_Osimps_I2_J ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_lexn_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Olexn(_u14695, _u14696), hAPP(c_Nat_OSuc, _u14697)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(_u14695), tc_List_Olist(_u14695)), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_prod(tc_prod(_u14695, tc_List_Olist(_u14695)), tc_prod(_u14695, tc_List_Olist(_u14695))), tc_prod(tc_List_Olist(_u14695), tc_List_Olist(_u14695)), c_Product__Type_Omap__pair(tc_prod(_u14695, tc_List_Olist(_u14695)), tc_List_Olist(_u14695), tc_prod(_u14695, tc_List_Olist(_u14695)), tc_List_Olist(_u14695), hAPP(c_Product__Type_Oprod_Oprod__case(_u14695, tc_List_Olist(_u14695), tc_List_Olist(_u14695)), c_List_Olist_OCons(_u14695)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14695, tc_List_Olist(_u14695), tc_List_Olist(_u14695)), c_List_Olist_OCons(_u14695)))), c_Wellfounded_Olex__prod(_u14695, tc_List_Olist(_u14695), _u14696, hAPP(c_List_Olexn(_u14695, _u14696), _u14697)))), hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u14695), tc_List_Olist(_u14695))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u14695), tc_List_Olist(_u14695), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14695), tc_fun(tc_List_Olist(_u14695), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14695), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14695), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14695), tc_HOL_Obool)), tc_List_Olist(_u14695)), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u14695))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14695)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14695), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14695)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u14695)))), hAPP(c_Nat_OSuc, _u14697))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14695), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14695)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u14695)))), hAPP(c_Nat_OSuc, _u14697))))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_impossible__Cons ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_impossible__Cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14698)), _u14699)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14698)), _u14700))) | ( _u14699 != hAPP(hAPP(c_List_Olist_OCons(_u14698), _u14701), _u14700)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_list_Oinject ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_list_Oinject-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u14707), _u14709), _u14711) != hAPP(hAPP(c_List_Olist_OCons(_u14707), _u14713), _u14715)) | ( _u14709 = _u14713) )).
% 19.51/19.72 cnf(fact_list_Oinject-2, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u14707), _u14709), _u14711) != hAPP(hAPP(c_List_Olist_OCons(_u14707), _u14713), _u14715)) | ( _u14711 = _u14715) )).
% 19.51/19.72 cnf(fact_list_Oinject-3, axiom, ( ( _u14710 != _u14714) | ( _u14712 != _u14716) | ( hAPP(hAPP(c_List_Olist_OCons(_u14708), _u14710), _u14712) = hAPP(hAPP(c_List_Olist_OCons(_u14708), _u14714), _u14716)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_not__Cons__self2 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_not__Cons__self2-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u14717), _u14718), _u14719) != _u14719) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_not__Cons__self ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_not__Cons__self-1, axiom, ( ( _u14720 != hAPP(hAPP(c_List_Olist_OCons(_u14721), _u14722), _u14720)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_list_Osize_I4_J ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_list_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14723)), hAPP(hAPP(c_List_Olist_OCons(_u14723), _u14724), _u14725)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14723)), _u14725)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Cons__in__lex ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Cons__in__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14732), tc_List_Olist(_u14732))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14732), tc_List_Olist(_u14732)), hAPP(hAPP(c_List_Olist_OCons(_u14732), _u14734), _u14736)), hAPP(hAPP(c_List_Olist_OCons(_u14732), _u14738), _u14740))), c_List_Olex(_u14732, _u14742))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14732, _u14732)), hAPP(hAPP(c_Product__Type_OPair(_u14732, _u14732), _u14734), _u14738)), _u14742)) | ( _u14734 = _u14738) )).
% 19.51/19.72 cnf(fact_Cons__in__lex-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14732), tc_List_Olist(_u14732))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14732), tc_List_Olist(_u14732)), hAPP(hAPP(c_List_Olist_OCons(_u14732), _u14734), _u14736)), hAPP(hAPP(c_List_Olist_OCons(_u14732), _u14738), _u14740))), c_List_Olex(_u14732, _u14742))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14732, _u14732)), hAPP(hAPP(c_Product__Type_OPair(_u14732, _u14732), _u14734), _u14738)), _u14742)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14732), tc_List_Olist(_u14732))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14732), tc_List_Olist(_u14732)), _u14736), _u14740)), c_List_Olex(_u14732, _u14742))) )).
% 19.51/19.72 cnf(fact_Cons__in__lex-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14732), tc_List_Olist(_u14732))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14732), tc_List_Olist(_u14732)), hAPP(hAPP(c_List_Olist_OCons(_u14732), _u14734), _u14736)), hAPP(hAPP(c_List_Olist_OCons(_u14732), _u14738), _u14740))), c_List_Olex(_u14732, _u14742))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14732)), _u14736) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14732)), _u14740)) | ( _u14734 = _u14738) )).
% 19.51/19.72 cnf(fact_Cons__in__lex-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14732), tc_List_Olist(_u14732))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14732), tc_List_Olist(_u14732)), hAPP(hAPP(c_List_Olist_OCons(_u14732), _u14734), _u14736)), hAPP(hAPP(c_List_Olist_OCons(_u14732), _u14738), _u14740))), c_List_Olex(_u14732, _u14742))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14732)), _u14736) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14732)), _u14740)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14732), tc_List_Olist(_u14732))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14732), tc_List_Olist(_u14732)), _u14736), _u14740)), c_List_Olex(_u14732, _u14742))) )).
% 19.51/19.72 cnf(fact_Cons__in__lex-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14733), tc_List_Olist(_u14733))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14733), tc_List_Olist(_u14733)), hAPP(hAPP(c_List_Olist_OCons(_u14733), _u14735), _u14737)), hAPP(hAPP(c_List_Olist_OCons(_u14733), _u14739), _u14741))), c_List_Olex(_u14733, _u14743))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14733, _u14733)), hAPP(hAPP(c_Product__Type_OPair(_u14733, _u14733), _u14735), _u14739)), _u14743)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14733)), _u14737) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14733)), _u14741)) )).
% 19.51/19.72 cnf(fact_Cons__in__lex-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14733), tc_List_Olist(_u14733))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14733), tc_List_Olist(_u14733)), hAPP(hAPP(c_List_Olist_OCons(_u14733), _u14735), _u14737)), hAPP(hAPP(c_List_Olist_OCons(_u14733), _u14739), _u14741))), c_List_Olex(_u14733, _u14743))) | ( _u14735 != _u14739) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14733), tc_List_Olist(_u14733))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14733), tc_List_Olist(_u14733)), _u14737), _u14741)), c_List_Olex(_u14733, _u14743))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_set__Cons__def ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_set__Cons__def-1, axiom, ( ( c_List_Oset__Cons(_u14744, _u14745, _u14746) = hAPP(c_Set_OCollect(tc_List_Olist(_u14744)), hAPP(hAPP(c_COMBB(tc_fun(_u14744, tc_HOL_Obool), tc_HOL_Obool, tc_List_Olist(_u14744)), c_HOL_OEx(_u14744)), hAPP(hAPP(c_COMBB(tc_fun(_u14744, tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool)), tc_fun(_u14744, tc_HOL_Obool), tc_List_Olist(_u14744)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool), tc_HOL_Obool, _u14744), c_HOL_OEx(tc_List_Olist(_u14744)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14744), tc_fun(_u14744, tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool)), tc_fun(_u14744, tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14744, tc_fun(tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool))), tc_fun(tc_fun(_u14744, tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool)), tc_fun(_u14744, tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool))), tc_List_Olist(_u14744)), c_COMBS(_u14744, tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14744, tc_fun(tc_List_Olist(_u14744), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u14744, tc_fun(tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool))), tc_List_Olist(_u14744)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14744), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool)), _u14744), c_COMBS(tc_List_Olist(_u14744), tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14744, tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool)), tc_fun(_u14744, tc_fun(tc_List_Olist(_u14744), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_List_Olist(_u14744)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14744), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14744), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14744)), c_fconj))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14744), tc_fun(_u14744, tc_fun(tc_List_Olist(_u14744), tc_List_Olist(_u14744))), tc_fun(_u14744, tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(_u14744), tc_List_Olist(_u14744)), tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool)), tc_fun(tc_fun(_u14744, tc_fun(tc_List_Olist(_u14744), tc_List_Olist(_u14744))), tc_fun(_u14744, tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool))), tc_List_Olist(_u14744)), c_COMBB(tc_fun(tc_List_Olist(_u14744), tc_List_Olist(_u14744)), tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool), _u14744)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14744), tc_List_Olist(_u14744)), tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool)), tc_List_Olist(_u14744)), c_COMBB(tc_List_Olist(_u14744), tc_HOL_Obool, tc_List_Olist(_u14744))), c_fequal))), c_List_Olist_OCons(_u14744)))))), hAPP(hAPP(c_COMBC(_u14744, tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool)), _u14744), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u14744))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14744), c_fconj), hAPP(hAPP(c_COMBC(_u14744, tc_fun(_u14744, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14744)), _u14745)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14744), tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u14744))), _u14746))))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_pick_Osimps ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_pick_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u14751), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u14753), _u14755))) | ( hAPP(c_Random_Opick(_u14753, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u14753)), _u14755), _u14757)), _u14751) = hAPP(c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u14753), _u14755)) )).
% 19.51/19.72 cnf(fact_pick_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u14752), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u14754), _u14756))) | ( hAPP(c_Random_Opick(_u14754, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u14754)), _u14756), _u14758)), _u14752) = hAPP(c_Random_Opick(_u14754, _u14758), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u14752), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u14754), _u14756)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_select__weight__cons__zero ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_select__weight__cons__zero-1, axiom, ( ( c_Random_Oselect__weight(_u14759, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u14759)), hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u14759), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u14760)), _u14761)) = c_Random_Oselect__weight(_u14759, _u14761)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_lexord__cons__cons ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_lexord__cons__cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14768), tc_List_Olist(_u14768))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14768), tc_List_Olist(_u14768)), hAPP(hAPP(c_List_Olist_OCons(_u14768), _u14770), _u14772)), hAPP(hAPP(c_List_Olist_OCons(_u14768), _u14774), _u14776))), c_List_Olexord(_u14768, _u14778))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14768, _u14768)), hAPP(hAPP(c_Product__Type_OPair(_u14768, _u14768), _u14770), _u14774)), _u14778)) | ( _u14770 = _u14774) )).
% 19.51/19.72 cnf(fact_lexord__cons__cons-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14768), tc_List_Olist(_u14768))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14768), tc_List_Olist(_u14768)), hAPP(hAPP(c_List_Olist_OCons(_u14768), _u14770), _u14772)), hAPP(hAPP(c_List_Olist_OCons(_u14768), _u14774), _u14776))), c_List_Olexord(_u14768, _u14778))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14768, _u14768)), hAPP(hAPP(c_Product__Type_OPair(_u14768, _u14768), _u14770), _u14774)), _u14778)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14768), tc_List_Olist(_u14768))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14768), tc_List_Olist(_u14768)), _u14772), _u14776)), c_List_Olexord(_u14768, _u14778))) )).
% 19.51/19.72 cnf(fact_lexord__cons__cons-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14769), tc_List_Olist(_u14769))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14769), tc_List_Olist(_u14769)), hAPP(hAPP(c_List_Olist_OCons(_u14769), _u14771), _u14773)), hAPP(hAPP(c_List_Olist_OCons(_u14769), _u14775), _u14777))), c_List_Olexord(_u14769, _u14779))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14769, _u14769)), hAPP(hAPP(c_Product__Type_OPair(_u14769, _u14769), _u14771), _u14775)), _u14779)) )).
% 19.51/19.72 cnf(fact_lexord__cons__cons-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14769), tc_List_Olist(_u14769))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14769), tc_List_Olist(_u14769)), hAPP(hAPP(c_List_Olist_OCons(_u14769), _u14771), _u14773)), hAPP(hAPP(c_List_Olist_OCons(_u14769), _u14775), _u14777))), c_List_Olexord(_u14769, _u14779))) | ( _u14771 != _u14775) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14769), tc_List_Olist(_u14769))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14769), tc_List_Olist(_u14769)), _u14773), _u14777)), c_List_Olexord(_u14769, _u14779))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_lexord__lex ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_lexord__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14784), tc_List_Olist(_u14784))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14784), tc_List_Olist(_u14784)), _u14786), _u14788)), c_List_Olex(_u14784, _u14790))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14784), tc_List_Olist(_u14784))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14784), tc_List_Olist(_u14784)), _u14786), _u14788)), c_List_Olexord(_u14784, _u14790))) )).
% 19.51/19.72 cnf(fact_lexord__lex-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14784), tc_List_Olist(_u14784))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14784), tc_List_Olist(_u14784)), _u14786), _u14788)), c_List_Olex(_u14784, _u14790))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14784)), _u14786) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14784)), _u14788)) )).
% 19.51/19.72 cnf(fact_lexord__lex-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14785), tc_List_Olist(_u14785))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14785), tc_List_Olist(_u14785)), _u14787), _u14789)), c_List_Olexord(_u14785, _u14791))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14785)), _u14787) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14785)), _u14789)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14785), tc_List_Olist(_u14785))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14785), tc_List_Olist(_u14785)), _u14787), _u14789)), c_List_Olex(_u14785, _u14791))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rtrancl__listrel1__ConsI2 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rtrancl__listrel1__ConsI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14792, _u14792)), hAPP(hAPP(c_Product__Type_OPair(_u14792, _u14792), _u14793), _u14794)), c_Transitive__Closure_Ortrancl(_u14792, _u14795))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14792), tc_List_Olist(_u14792))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14792), tc_List_Olist(_u14792)), _u14796), _u14797)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u14792), c_List_Olistrel1(_u14792, _u14795)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14792), tc_List_Olist(_u14792))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14792), tc_List_Olist(_u14792)), hAPP(hAPP(c_List_Olist_OCons(_u14792), _u14793), _u14796)), hAPP(hAPP(c_List_Olist_OCons(_u14792), _u14794), _u14797))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u14792), c_List_Olistrel1(_u14792, _u14795)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_list_Osize_I2_J ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_list_Osize_I2_J-1, axiom, ( ( c_List_Olist_Olist__size(_u14798, _u14799, hAPP(hAPP(c_List_Olist_OCons(_u14798), _u14800), _u14801)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u14799, _u14800)), c_List_Olist_Olist__size(_u14798, _u14799, _u14801))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Cons__acc__listrel1I ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Cons__acc__listrel1I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14802), _u14803), c_Wellfounded_Oacc(_u14802, _u14804))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14802)), _u14805), c_Wellfounded_Oacc(tc_List_Olist(_u14802), c_List_Olistrel1(_u14802, _u14804)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14802)), hAPP(hAPP(c_List_Olist_OCons(_u14802), _u14803), _u14805)), c_Wellfounded_Oacc(tc_List_Olist(_u14802), c_List_Olistrel1(_u14802, _u14804)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_listrel1__rtrancl__subset__rtrancl__listrel1 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_listrel1__rtrancl__subset__rtrancl__listrel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u14806), tc_List_Olist(_u14806)), tc_HOL_Obool)), c_List_Olistrel1(_u14806, c_Transitive__Closure_Ortrancl(_u14806, _u14807))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u14806), c_List_Olistrel1(_u14806, _u14807)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_listrel1__converse ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_listrel1__converse-1, axiom, ( ( c_List_Olistrel1(_u14808, hAPP(c_Relation_Oconverse(_u14808, _u14808), _u14809)) = hAPP(c_Relation_Oconverse(tc_List_Olist(_u14808), tc_List_Olist(_u14808)), c_List_Olistrel1(_u14808, _u14809))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_listrel1__mono ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_listrel1__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14810, _u14810), tc_HOL_Obool)), _u14811), _u14812)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u14810), tc_List_Olist(_u14810)), tc_HOL_Obool)), c_List_Olistrel1(_u14810, _u14811)), c_List_Olistrel1(_u14810, _u14812))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_listrel1I2 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_listrel1I2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14813), tc_List_Olist(_u14813))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14813), tc_List_Olist(_u14813)), _u14814), _u14815)), c_List_Olistrel1(_u14813, _u14816))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14813), tc_List_Olist(_u14813))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14813), tc_List_Olist(_u14813)), hAPP(hAPP(c_List_Olist_OCons(_u14813), _u14817), _u14814)), hAPP(hAPP(c_List_Olist_OCons(_u14813), _u14817), _u14815))), c_List_Olistrel1(_u14813, _u14816))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rtrancl__listrel1__ConsI1 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rtrancl__listrel1__ConsI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14818), tc_List_Olist(_u14818))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14818), tc_List_Olist(_u14818)), _u14819), _u14820)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u14818), c_List_Olistrel1(_u14818, _u14821)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14818), tc_List_Olist(_u14818))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14818), tc_List_Olist(_u14818)), hAPP(hAPP(c_List_Olist_OCons(_u14818), _u14822), _u14819)), hAPP(hAPP(c_List_Olist_OCons(_u14818), _u14822), _u14820))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u14818), c_List_Olistrel1(_u14818, _u14821)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_listrel1__eq__len ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_listrel1__eq__len-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14823), tc_List_Olist(_u14823))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14823), tc_List_Olist(_u14823)), _u14824), _u14825)), c_List_Olistrel1(_u14823, _u14826))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14823)), _u14824) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14823)), _u14825)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rtrancl__listrel1__eq__len ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rtrancl__listrel1__eq__len-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14827), tc_List_Olist(_u14827))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14827), tc_List_Olist(_u14827)), _u14828), _u14829)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u14827), c_List_Olistrel1(_u14827, _u14830)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14827)), _u14828) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14827)), _u14829)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_in__listrel1__converse ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_in__listrel1__converse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14835), tc_List_Olist(_u14835))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14835), tc_List_Olist(_u14835)), _u14837), _u14839)), c_List_Olistrel1(_u14835, hAPP(c_Relation_Oconverse(_u14835, _u14835), _u14841)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14835), tc_List_Olist(_u14835))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14835), tc_List_Olist(_u14835)), _u14837), _u14839)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u14835), tc_List_Olist(_u14835)), c_List_Olistrel1(_u14835, _u14841)))) )).
% 19.51/19.72 cnf(fact_in__listrel1__converse-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14836), tc_List_Olist(_u14836))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14836), tc_List_Olist(_u14836)), _u14838), _u14840)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u14836), tc_List_Olist(_u14836)), c_List_Olistrel1(_u14836, _u14842)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14836), tc_List_Olist(_u14836))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14836), tc_List_Olist(_u14836)), _u14838), _u14840)), c_List_Olistrel1(_u14836, hAPP(c_Relation_Oconverse(_u14836, _u14836), _u14842)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_listrel1I1 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_listrel1I1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14843, _u14843)), hAPP(hAPP(c_Product__Type_OPair(_u14843, _u14843), _u14844), _u14845)), _u14846)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14843), tc_List_Olist(_u14843))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14843), tc_List_Olist(_u14843)), hAPP(hAPP(c_List_Olist_OCons(_u14843), _u14844), _u14847)), hAPP(hAPP(c_List_Olist_OCons(_u14843), _u14845), _u14847))), c_List_Olistrel1(_u14843, _u14846))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Cons__listrel1__Cons ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Cons__listrel1__Cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14854), tc_List_Olist(_u14854))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14854), tc_List_Olist(_u14854)), hAPP(hAPP(c_List_Olist_OCons(_u14854), _u14856), _u14858)), hAPP(hAPP(c_List_Olist_OCons(_u14854), _u14860), _u14862))), c_List_Olistrel1(_u14854, _u14864))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14854, _u14854)), hAPP(hAPP(c_Product__Type_OPair(_u14854, _u14854), _u14856), _u14860)), _u14864)) | ( _u14856 = _u14860) )).
% 19.51/19.72 cnf(fact_Cons__listrel1__Cons-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14854), tc_List_Olist(_u14854))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14854), tc_List_Olist(_u14854)), hAPP(hAPP(c_List_Olist_OCons(_u14854), _u14856), _u14858)), hAPP(hAPP(c_List_Olist_OCons(_u14854), _u14860), _u14862))), c_List_Olistrel1(_u14854, _u14864))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14854, _u14854)), hAPP(hAPP(c_Product__Type_OPair(_u14854, _u14854), _u14856), _u14860)), _u14864)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14854), tc_List_Olist(_u14854))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14854), tc_List_Olist(_u14854)), _u14858), _u14862)), c_List_Olistrel1(_u14854, _u14864))) )).
% 19.51/19.72 cnf(fact_Cons__listrel1__Cons-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14854), tc_List_Olist(_u14854))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14854), tc_List_Olist(_u14854)), hAPP(hAPP(c_List_Olist_OCons(_u14854), _u14856), _u14858)), hAPP(hAPP(c_List_Olist_OCons(_u14854), _u14860), _u14862))), c_List_Olistrel1(_u14854, _u14864))) | ( _u14858 = _u14862) | ( _u14856 = _u14860) )).
% 19.51/19.72 cnf(fact_Cons__listrel1__Cons-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14854), tc_List_Olist(_u14854))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14854), tc_List_Olist(_u14854)), hAPP(hAPP(c_List_Olist_OCons(_u14854), _u14856), _u14858)), hAPP(hAPP(c_List_Olist_OCons(_u14854), _u14860), _u14862))), c_List_Olistrel1(_u14854, _u14864))) | ( _u14858 = _u14862) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14854), tc_List_Olist(_u14854))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14854), tc_List_Olist(_u14854)), _u14858), _u14862)), c_List_Olistrel1(_u14854, _u14864))) )).
% 19.51/19.72 cnf(fact_Cons__listrel1__Cons-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14855), tc_List_Olist(_u14855))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14855), tc_List_Olist(_u14855)), hAPP(hAPP(c_List_Olist_OCons(_u14855), _u14857), _u14859)), hAPP(hAPP(c_List_Olist_OCons(_u14855), _u14861), _u14863))), c_List_Olistrel1(_u14855, _u14865))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14855, _u14855)), hAPP(hAPP(c_Product__Type_OPair(_u14855, _u14855), _u14857), _u14861)), _u14865)) | ( _u14859 != _u14863) )).
% 19.51/19.72 cnf(fact_Cons__listrel1__Cons-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14855), tc_List_Olist(_u14855))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14855), tc_List_Olist(_u14855)), hAPP(hAPP(c_List_Olist_OCons(_u14855), _u14857), _u14859)), hAPP(hAPP(c_List_Olist_OCons(_u14855), _u14861), _u14863))), c_List_Olistrel1(_u14855, _u14865))) | ( _u14857 != _u14861) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14855), tc_List_Olist(_u14855))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14855), tc_List_Olist(_u14855)), _u14859), _u14863)), c_List_Olistrel1(_u14855, _u14865))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_listrel__Cons ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_listrel__Cons-1, axiom, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u14866), tc_List_Olist(_u14866), c_List_Olistrel(_u14866, _u14867)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u14866)), hAPP(hAPP(c_List_Olist_OCons(_u14866), _u14868), _u14869)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u14866), tc_HOL_Obool)))) = c_List_Oset__Cons(_u14866, hAPP(c_Relation_OImage(_u14866, _u14866, _u14867), hAPP(hAPP(c_Set_Oinsert(_u14866), _u14868), c_Orderings_Obot__class_Obot(tc_fun(_u14866, tc_HOL_Obool)))), hAPP(c_Relation_OImage(tc_List_Olist(_u14866), tc_List_Olist(_u14866), c_List_Olistrel(_u14866, _u14867)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u14866)), _u14869), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u14866), tc_HOL_Obool)))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_lexord__irreflexive ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_lexord__irreflexive-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14871, _u14871)), hAPP(hAPP(c_Product__Type_OPair(_u14871, _u14871), skolem388(_u14873, _u14872, _u14871)), skolem388(_u14873, _u14872, _u14871))), _u14872)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14871), tc_List_Olist(_u14871))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14871), tc_List_Olist(_u14871)), _u14873), _u14873)), c_List_Olexord(_u14871, _u14872))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_listrel__rtrancl__refl ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_listrel__rtrancl__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14874), tc_List_Olist(_u14874))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14874), tc_List_Olist(_u14874)), _u14875), _u14875)), c_List_Olistrel(_u14874, c_Transitive__Closure_Ortrancl(_u14874, _u14876)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_listrel__mono ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_listrel__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14877, _u14877), tc_HOL_Obool)), _u14878), _u14879)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u14877), tc_List_Olist(_u14877)), tc_HOL_Obool)), c_List_Olistrel(_u14877, _u14878)), c_List_Olistrel(_u14877, _u14879))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_listrel__subset__rtrancl__listrel1 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_listrel__subset__rtrancl__listrel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u14880), tc_List_Olist(_u14880)), tc_HOL_Obool)), c_List_Olistrel(_u14880, _u14881)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u14880), c_List_Olistrel1(_u14880, _u14881)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_listrel__eq__len ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_listrel__eq__len-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14882), tc_List_Olist(_u14882))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14882), tc_List_Olist(_u14882)), _u14883), _u14884)), c_List_Olistrel(_u14882, _u14885))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14882)), _u14883) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14882)), _u14884)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_listrel__rtrancl__trans ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_listrel__rtrancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14886), tc_List_Olist(_u14886))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14886), tc_List_Olist(_u14886)), _u14887), _u14888)), c_List_Olistrel(_u14886, c_Transitive__Closure_Ortrancl(_u14886, _u14889)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14886), tc_List_Olist(_u14886))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14886), tc_List_Olist(_u14886)), _u14888), _u14890)), c_List_Olistrel(_u14886, c_Transitive__Closure_Ortrancl(_u14886, _u14889)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14886), tc_List_Olist(_u14886))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14886), tc_List_Olist(_u14886)), _u14887), _u14890)), c_List_Olistrel(_u14886, c_Transitive__Closure_Ortrancl(_u14886, _u14889)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_listrel__rtrancl__eq__rtrancl__listrel1 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_listrel__rtrancl__eq__rtrancl__listrel1-1, axiom, ( ( c_List_Olistrel(_u14891, c_Transitive__Closure_Ortrancl(_u14891, _u14892)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(_u14891), c_List_Olistrel1(_u14891, _u14892))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_listrel__reflcl__if__listrel1 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_listrel__reflcl__if__listrel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14893), tc_List_Olist(_u14893))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14893), tc_List_Olist(_u14893)), _u14894), _u14895)), c_List_Olistrel1(_u14893, _u14896))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14893), tc_List_Olist(_u14893))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14893), tc_List_Olist(_u14893)), _u14894), _u14895)), c_List_Olistrel(_u14893, c_Transitive__Closure_Ortrancl(_u14893, _u14896)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_listrel1__subset__listrel ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_listrel1__subset__listrel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14897, _u14897), tc_HOL_Obool)), _u14898), _u14899)) | ~c_Relation_Orefl__on(_u14897, c_Orderings_Otop__class_Otop(tc_fun(_u14897, tc_HOL_Obool)), _u14899) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u14897), tc_List_Olist(_u14897)), tc_HOL_Obool)), c_List_Olistrel1(_u14897, _u14898)), c_List_Olistrel(_u14897, _u14899))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_rtrancl__listrel1__if__listrel ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_rtrancl__listrel1__if__listrel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14900), tc_List_Olist(_u14900))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14900), tc_List_Olist(_u14900)), _u14901), _u14902)), c_List_Olistrel(_u14900, _u14903))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14900), tc_List_Olist(_u14900))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14900), tc_List_Olist(_u14900)), _u14901), _u14902)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u14900), c_List_Olistrel1(_u14900, _u14903)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_listrel_OCons ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_listrel_OCons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14904, _u14904)), hAPP(hAPP(c_Product__Type_OPair(_u14904, _u14904), _u14905), _u14906)), _u14907)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14904), tc_List_Olist(_u14904))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14904), tc_List_Olist(_u14904)), _u14908), _u14909)), c_List_Olistrel(_u14904, _u14907))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14904), tc_List_Olist(_u14904))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14904), tc_List_Olist(_u14904)), hAPP(hAPP(c_List_Olist_OCons(_u14904), _u14905), _u14908)), hAPP(hAPP(c_List_Olist_OCons(_u14904), _u14906), _u14909))), c_List_Olistrel(_u14904, _u14907))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_listrelp__listrel__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_listrelp__listrel__eq-1, axiom, ( ~c_List_Olistrelp(_u14914, hAPP(hAPP(c_COMBC(_u14914, tc_fun(tc_prod(_u14914, _u14914), tc_HOL_Obool), tc_fun(_u14914, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14914, tc_fun(tc_fun(tc_prod(_u14914, _u14914), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14914, _u14914), tc_HOL_Obool), tc_fun(_u14914, tc_HOL_Obool)), _u14914), c_COMBC(_u14914, tc_fun(tc_prod(_u14914, _u14914), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14914, tc_prod(_u14914, _u14914)), tc_fun(_u14914, tc_fun(tc_fun(tc_prod(_u14914, _u14914), tc_HOL_Obool), tc_HOL_Obool)), _u14914), hAPP(c_COMBB(tc_prod(_u14914, _u14914), tc_fun(tc_fun(tc_prod(_u14914, _u14914), tc_HOL_Obool), tc_HOL_Obool), _u14914), c_member(tc_prod(_u14914, _u14914)))), c_Product__Type_OPair(_u14914, _u14914)))), _u14916), _u14918, _u14920) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14914), tc_List_Olist(_u14914))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14914), tc_List_Olist(_u14914)), _u14918), _u14920)), c_List_Olistrel(_u14914, _u14916))) )).
% 19.51/19.72 cnf(fact_listrelp__listrel__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14915), tc_List_Olist(_u14915))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14915), tc_List_Olist(_u14915)), _u14919), _u14921)), c_List_Olistrel(_u14915, _u14917))) | c_List_Olistrelp(_u14915, hAPP(hAPP(c_COMBC(_u14915, tc_fun(tc_prod(_u14915, _u14915), tc_HOL_Obool), tc_fun(_u14915, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14915, tc_fun(tc_fun(tc_prod(_u14915, _u14915), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14915, _u14915), tc_HOL_Obool), tc_fun(_u14915, tc_HOL_Obool)), _u14915), c_COMBC(_u14915, tc_fun(tc_prod(_u14915, _u14915), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14915, tc_prod(_u14915, _u14915)), tc_fun(_u14915, tc_fun(tc_fun(tc_prod(_u14915, _u14915), tc_HOL_Obool), tc_HOL_Obool)), _u14915), hAPP(c_COMBB(tc_prod(_u14915, _u14915), tc_fun(tc_fun(tc_prod(_u14915, _u14915), tc_HOL_Obool), tc_HOL_Obool), _u14915), c_member(tc_prod(_u14915, _u14915)))), c_Product__Type_OPair(_u14915, _u14915)))), _u14917), _u14919, _u14921) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_listrel__Cons2 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_listrel__Cons2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14924), tc_List_Olist(_u14924))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14924), tc_List_Olist(_u14924)), _u14925), hAPP(hAPP(c_List_Olist_OCons(_u14924), _u14926), _u14927))), c_List_Olistrel(_u14924, _u14928))) | ( _u14925 = hAPP(hAPP(c_List_Olist_OCons(_u14924), skolem389(_u14928, _u14927, _u14926, _u14925, _u14924)), skolem390(_u14928, _u14927, _u14926, _u14925, _u14924))) )).
% 19.51/19.72 cnf(fact_listrel__Cons2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14924), tc_List_Olist(_u14924))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14924), tc_List_Olist(_u14924)), _u14925), hAPP(hAPP(c_List_Olist_OCons(_u14924), _u14926), _u14927))), c_List_Olistrel(_u14924, _u14928))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14924, _u14924)), hAPP(hAPP(c_Product__Type_OPair(_u14924, _u14924), skolem389(_u14928, _u14927, _u14926, _u14925, _u14924)), _u14926)), _u14928)) )).
% 19.51/19.72 cnf(fact_listrel__Cons2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14924), tc_List_Olist(_u14924))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14924), tc_List_Olist(_u14924)), _u14925), hAPP(hAPP(c_List_Olist_OCons(_u14924), _u14926), _u14927))), c_List_Olistrel(_u14924, _u14928))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14924), tc_List_Olist(_u14924))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14924), tc_List_Olist(_u14924)), skolem390(_u14928, _u14927, _u14926, _u14925, _u14924)), _u14927)), c_List_Olistrel(_u14924, _u14928))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_listrelp_Oequations_I2_J ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_listrelp_Oequations_I2_J-1, axiom, ( ~c_List_Olistrelp(_u14935, _u14937, hAPP(hAPP(c_List_Olist_OCons(_u14935), _u14939), _u14941), hAPP(hAPP(c_List_Olist_OCons(_u14935), _u14943), _u14945)) | hBOOL(hAPP(hAPP(_u14937, _u14939), _u14943)) )).
% 19.51/19.72 cnf(fact_listrelp_Oequations_I2_J-2, axiom, ( ~c_List_Olistrelp(_u14935, _u14937, hAPP(hAPP(c_List_Olist_OCons(_u14935), _u14939), _u14941), hAPP(hAPP(c_List_Olist_OCons(_u14935), _u14943), _u14945)) | c_List_Olistrelp(_u14935, _u14937, _u14941, _u14945) )).
% 19.51/19.72 cnf(fact_listrelp_Oequations_I2_J-3, axiom, ( ~hBOOL(hAPP(hAPP(_u14938, _u14940), _u14944)) | ~c_List_Olistrelp(_u14936, _u14938, _u14942, _u14946) | c_List_Olistrelp(_u14936, _u14938, hAPP(hAPP(c_List_Olist_OCons(_u14936), _u14940), _u14942), hAPP(hAPP(c_List_Olist_OCons(_u14936), _u14944), _u14946)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_listrelp_OCons ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_listrelp_OCons-1, axiom, ( ~hBOOL(hAPP(hAPP(_u14947, _u14948), _u14949)) | ~c_List_Olistrelp(_u14950, _u14947, _u14951, _u14952) | c_List_Olistrelp(_u14950, _u14947, hAPP(hAPP(c_List_Olist_OCons(_u14950), _u14948), _u14951), hAPP(hAPP(c_List_Olist_OCons(_u14950), _u14949), _u14952)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_listrel__Cons1 ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_listrel__Cons1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14955), tc_List_Olist(_u14955))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14955), tc_List_Olist(_u14955)), hAPP(hAPP(c_List_Olist_OCons(_u14955), _u14956), _u14957)), _u14958)), c_List_Olistrel(_u14955, _u14959))) | ( _u14958 = hAPP(hAPP(c_List_Olist_OCons(_u14955), skolem391(_u14959, _u14958, _u14957, _u14956, _u14955)), skolem392(_u14959, _u14958, _u14957, _u14956, _u14955))) )).
% 19.51/19.72 cnf(fact_listrel__Cons1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14955), tc_List_Olist(_u14955))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14955), tc_List_Olist(_u14955)), hAPP(hAPP(c_List_Olist_OCons(_u14955), _u14956), _u14957)), _u14958)), c_List_Olistrel(_u14955, _u14959))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14955, _u14955)), hAPP(hAPP(c_Product__Type_OPair(_u14955, _u14955), _u14956), skolem391(_u14959, _u14958, _u14957, _u14956, _u14955))), _u14959)) )).
% 19.51/19.72 cnf(fact_listrel__Cons1-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14955), tc_List_Olist(_u14955))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14955), tc_List_Olist(_u14955)), hAPP(hAPP(c_List_Olist_OCons(_u14955), _u14956), _u14957)), _u14958)), c_List_Olistrel(_u14955, _u14959))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14955), tc_List_Olist(_u14955))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14955), tc_List_Olist(_u14955)), _u14957), skolem392(_u14959, _u14958, _u14957, _u14956, _u14955))), c_List_Olistrel(_u14955, _u14959))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_listrel__subset ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_listrel__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14960, _u14960), tc_HOL_Obool)), _u14961), hAPP(hAPP(c_Product__Type_OSigma(_u14960, _u14960), _u14962), hAPP(c_COMBK(tc_fun(_u14960, tc_HOL_Obool), _u14960), _u14962)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u14960), tc_List_Olist(_u14960)), tc_HOL_Obool)), c_List_Olistrel(_u14960, _u14961)), hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(_u14960), tc_List_Olist(_u14960)), c_List_Olists(_u14960, _u14962)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u14960), tc_HOL_Obool), tc_List_Olist(_u14960)), c_List_Olists(_u14960, _u14962))))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_lists__UNIV ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_lists__UNIV-1, axiom, ( ( c_List_Olists(_u14963, c_Orderings_Otop__class_Otop(tc_fun(_u14963, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u14963), tc_HOL_Obool))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_lists__mono ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_lists__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14964, tc_HOL_Obool)), _u14965), _u14966)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u14964), tc_HOL_Obool)), c_List_Olists(_u14964, _u14965)), c_List_Olists(_u14964, _u14966))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_equiv__listrel ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_equiv__listrel-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u14967, _u14968, _u14969) | c_Equiv__Relations_Oequiv(tc_List_Olist(_u14967), c_List_Olists(_u14967, _u14968), c_List_Olistrel(_u14967, _u14969)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_listrel__refl__on ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_listrel__refl__on-1, axiom, ( ~c_Relation_Orefl__on(_u14970, _u14971, _u14972) | c_Relation_Orefl__on(tc_List_Olist(_u14970), c_List_Olists(_u14970, _u14971), c_List_Olistrel(_u14970, _u14972)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_Cons__in__lists__iff ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_Cons__in__lists__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14977)), hAPP(hAPP(c_List_Olist_OCons(_u14977), _u14979), _u14981)), c_List_Olists(_u14977, _u14983))) | hBOOL(hAPP(hAPP(c_member(_u14977), _u14979), _u14983)) )).
% 19.51/19.72 cnf(fact_Cons__in__lists__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14977)), hAPP(hAPP(c_List_Olist_OCons(_u14977), _u14979), _u14981)), c_List_Olists(_u14977, _u14983))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14977)), _u14981), c_List_Olists(_u14977, _u14983))) )).
% 19.51/19.72 cnf(fact_Cons__in__lists__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14978), _u14980), _u14984)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14978)), _u14982), c_List_Olists(_u14978, _u14984))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14978)), hAPP(hAPP(c_List_Olist_OCons(_u14978), _u14980), _u14982)), c_List_Olists(_u14978, _u14984))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_lists__accD ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_lists__accD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14985)), _u14986), c_List_Olists(_u14985, c_Wellfounded_Oacc(_u14985, _u14987)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14985)), _u14986), c_Wellfounded_Oacc(tc_List_Olist(_u14985), c_List_Olistrel1(_u14985, _u14987)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_lists__accI ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_lists__accI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14988)), _u14989), c_Wellfounded_Oacc(tc_List_Olist(_u14988), c_List_Olistrel1(_u14988, _u14990)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14988)), _u14989), c_List_Olists(_u14988, c_Wellfounded_Oacc(_u14988, _u14990)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_listrel__iff__nth ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_listrel__iff__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14997), tc_List_Olist(_u14997))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14997), tc_List_Olist(_u14997)), _u14999), _u15001)), c_List_Olistrel(_u14997, _u15003))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14997)), _u14999) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14997)), _u15001)) )).
% 19.51/19.72 cnf(fact_listrel__iff__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14997), tc_List_Olist(_u14997))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14997), tc_List_Olist(_u14997)), _u14999), _u15001)), c_List_Olistrel(_u14997, _u15003))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14991), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14997)), _u14999))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14997, _u14997)), hAPP(hAPP(c_Product__Type_OPair(_u14997, _u14997), hAPP(hAPP(c_List_Onth(_u14997), _u14999), _u14991)), hAPP(hAPP(c_List_Onth(_u14997), _u15001), _u14991))), _u15003)) )).
% 19.51/19.72 cnf(fact_listrel__iff__nth-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14998), tc_List_Olist(_u14998))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14998), tc_List_Olist(_u14998)), _u15000), _u15002)), c_List_Olistrel(_u14998, _u15004))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14998)), _u15000) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14998)), _u15002)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem393(_u15004, _u15002, _u15000, _u14998)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14998)), _u15000))) )).
% 19.51/19.72 cnf(fact_listrel__iff__nth-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14998), tc_List_Olist(_u14998))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14998), tc_List_Olist(_u14998)), _u15000), _u15002)), c_List_Olistrel(_u14998, _u15004))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14998)), _u15000) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14998)), _u15002)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14998, _u14998)), hAPP(hAPP(c_Product__Type_OPair(_u14998, _u14998), hAPP(hAPP(c_List_Onth(_u14998), _u15000), skolem393(_u15004, _u15002, _u15000, _u14998))), hAPP(hAPP(c_List_Onth(_u14998), _u15002), skolem393(_u15004, _u15002, _u15000, _u14998)))), _u15004)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_lexord__linear ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_lexord__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15007), tc_List_Olist(_u15007))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15007), tc_List_Olist(_u15007)), _u15009), _u15010)), c_List_Olexord(_u15007, _u15008))) | ( _u15009 = _u15010) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15007), tc_List_Olist(_u15007))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15007), tc_List_Olist(_u15007)), _u15010), _u15009)), c_List_Olexord(_u15007, _u15008))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15007, _u15007)), hAPP(hAPP(c_Product__Type_OPair(_u15007, _u15007), skolem394(_u15010, _u15009, _u15008, _u15007)), skolem395(_u15010, _u15009, _u15008, _u15007))), _u15008)) )).
% 19.51/19.72 cnf(fact_lexord__linear-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15007), tc_List_Olist(_u15007))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15007), tc_List_Olist(_u15007)), _u15009), _u15010)), c_List_Olexord(_u15007, _u15008))) | ( _u15009 = _u15010) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15007), tc_List_Olist(_u15007))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15007), tc_List_Olist(_u15007)), _u15010), _u15009)), c_List_Olexord(_u15007, _u15008))) | ( skolem394(_u15010, _u15009, _u15008, _u15007) != skolem395(_u15010, _u15009, _u15008, _u15007)) )).
% 19.51/19.72 cnf(fact_lexord__linear-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15007), tc_List_Olist(_u15007))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15007), tc_List_Olist(_u15007)), _u15009), _u15010)), c_List_Olexord(_u15007, _u15008))) | ( _u15009 = _u15010) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15007), tc_List_Olist(_u15007))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15007), tc_List_Olist(_u15007)), _u15010), _u15009)), c_List_Olexord(_u15007, _u15008))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15007, _u15007)), hAPP(hAPP(c_Product__Type_OPair(_u15007, _u15007), skolem395(_u15010, _u15009, _u15008, _u15007)), skolem394(_u15010, _u15009, _u15008, _u15007))), _u15008)) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_infinite__UNIV__listI ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_infinite__UNIV__listI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u15011)), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15011), tc_HOL_Obool)))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_list__eq__iff__nth__eq ( axiom ) converted to clauses:
% 19.51/19.72 cnf(fact_list__eq__iff__nth__eq-1, axiom, ( ( _u15017 != _u15019) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15021)), _u15017) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15021)), _u15019)) )).
% 19.51/19.72 cnf(fact_list__eq__iff__nth__eq-2, axiom, ( ( _u15017 != _u15019) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15012), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15021)), _u15017))) | ( hAPP(hAPP(c_List_Onth(_u15021), _u15017), _u15012) = hAPP(hAPP(c_List_Onth(_u15021), _u15019), _u15012)) )).
% 19.51/19.72 cnf(fact_list__eq__iff__nth__eq-3, axiom, ( ( _u15018 = _u15020) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15022)), _u15018) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15022)), _u15020)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem396(_u15022, _u15020, _u15018)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15022)), _u15018))) )).
% 19.51/19.72 cnf(fact_list__eq__iff__nth__eq-4, axiom, ( ( _u15018 = _u15020) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15022)), _u15018) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15022)), _u15020)) | ( hAPP(hAPP(c_List_Onth(_u15022), _u15018), skolem396(_u15022, _u15020, _u15018)) != hAPP(hAPP(c_List_Onth(_u15022), _u15020), skolem396(_u15022, _u15020, _u15018))) )).
% 19.51/19.72
% 19.51/19.72 % Formula: fact_nth__Cons__Suc ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_nth__Cons__Suc-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u15023), hAPP(hAPP(c_List_Olist_OCons(_u15023), _u15024), _u15025)), hAPP(c_Nat_OSuc, _u15026)) = hAPP(hAPP(c_List_Onth(_u15023), _u15025), _u15026)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_nth__Cons__0 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_nth__Cons__0-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u15027), hAPP(hAPP(c_List_Olist_OCons(_u15027), _u15028), _u15029)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u15028) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_nth_Osimps ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_nth_Osimps-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u15030), hAPP(hAPP(c_List_Olist_OCons(_u15030), _u15031), _u15032)), _u15033) = c_Nat_Onat_Onat__case(_u15030, _u15031, hAPP(c_List_Onth(_u15030), _u15032), _u15033)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_nth__Cons_H ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_nth__Cons_H-1, axiom, ( ( _u15038 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15040), hAPP(hAPP(c_List_Olist_OCons(_u15040), _u15042), _u15044)), _u15038) = _u15042) )).
% 19.51/19.73 cnf(fact_nth__Cons_H-2, axiom, ( ( _u15039 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15041), hAPP(hAPP(c_List_Olist_OCons(_u15041), _u15043), _u15045)), _u15039) = hAPP(hAPP(c_List_Onth(_u15041), _u15045), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15039), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_nth__Cons__number__of ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_nth__Cons__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15050) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15052), hAPP(hAPP(c_List_Olist_OCons(_u15052), _u15054), _u15056)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15050)) = _u15054) )).
% 19.51/19.73 cnf(fact_nth__Cons__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15051) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15053), hAPP(hAPP(c_List_Olist_OCons(_u15053), _u15055), _u15057)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15051)) = hAPP(hAPP(c_List_Onth(_u15053), _u15057), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15051)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_lexord__take__index__conv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_lexord__take__index__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15064), tc_List_Olist(_u15064))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15064), tc_List_Olist(_u15064)), _u15066), _u15068)), c_List_Olexord(_u15064, _u15070))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15064)), _u15066)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15064)), _u15068))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem397(_u15070, _u15068, _u15066, _u15064)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15064)), _u15066)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15064)), _u15068)))) )).
% 19.51/19.73 cnf(fact_lexord__take__index__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15064), tc_List_Olist(_u15064))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15064), tc_List_Olist(_u15064)), _u15066), _u15068)), c_List_Olexord(_u15064, _u15070))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15064)), _u15066)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15064)), _u15068))) | ( hAPP(hAPP(c_List_Otake(_u15064), skolem397(_u15070, _u15068, _u15066, _u15064)), _u15066) = hAPP(hAPP(c_List_Otake(_u15064), skolem397(_u15070, _u15068, _u15066, _u15064)), _u15068)) )).
% 19.51/19.73 cnf(fact_lexord__take__index__conv-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15064), tc_List_Olist(_u15064))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15064), tc_List_Olist(_u15064)), _u15066), _u15068)), c_List_Olexord(_u15064, _u15070))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15064)), _u15066)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15064)), _u15068))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15064, _u15064)), hAPP(hAPP(c_Product__Type_OPair(_u15064, _u15064), hAPP(hAPP(c_List_Onth(_u15064), _u15066), skolem397(_u15070, _u15068, _u15066, _u15064))), hAPP(hAPP(c_List_Onth(_u15064), _u15068), skolem397(_u15070, _u15068, _u15066, _u15064)))), _u15070)) )).
% 19.51/19.73 cnf(fact_lexord__take__index__conv-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15064), tc_List_Olist(_u15064))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15064), tc_List_Olist(_u15064)), _u15066), _u15068)), c_List_Olexord(_u15064, _u15070))) | ( hAPP(hAPP(c_List_Otake(_u15064), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15064)), _u15066)), _u15068) = _u15066) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem397(_u15070, _u15068, _u15066, _u15064)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15064)), _u15066)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15064)), _u15068)))) )).
% 19.51/19.73 cnf(fact_lexord__take__index__conv-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15064), tc_List_Olist(_u15064))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15064), tc_List_Olist(_u15064)), _u15066), _u15068)), c_List_Olexord(_u15064, _u15070))) | ( hAPP(hAPP(c_List_Otake(_u15064), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15064)), _u15066)), _u15068) = _u15066) | ( hAPP(hAPP(c_List_Otake(_u15064), skolem397(_u15070, _u15068, _u15066, _u15064)), _u15066) = hAPP(hAPP(c_List_Otake(_u15064), skolem397(_u15070, _u15068, _u15066, _u15064)), _u15068)) )).
% 19.51/19.73 cnf(fact_lexord__take__index__conv-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15064), tc_List_Olist(_u15064))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15064), tc_List_Olist(_u15064)), _u15066), _u15068)), c_List_Olexord(_u15064, _u15070))) | ( hAPP(hAPP(c_List_Otake(_u15064), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15064)), _u15066)), _u15068) = _u15066) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15064, _u15064)), hAPP(hAPP(c_Product__Type_OPair(_u15064, _u15064), hAPP(hAPP(c_List_Onth(_u15064), _u15066), skolem397(_u15070, _u15068, _u15066, _u15064))), hAPP(hAPP(c_List_Onth(_u15064), _u15068), skolem397(_u15070, _u15068, _u15066, _u15064)))), _u15070)) )).
% 19.51/19.73 cnf(fact_lexord__take__index__conv-7, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15065), tc_List_Olist(_u15065))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15065), tc_List_Olist(_u15065)), _u15067), _u15069)), c_List_Olexord(_u15065, _u15071))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15065)), _u15067)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15065)), _u15069))) | ( hAPP(hAPP(c_List_Otake(_u15065), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15065)), _u15067)), _u15069) != _u15067) )).
% 19.51/19.73 cnf(fact_lexord__take__index__conv-8, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15065), tc_List_Olist(_u15065))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15065), tc_List_Olist(_u15065)), _u15067), _u15069)), c_List_Olexord(_u15065, _u15071))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15059), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15065)), _u15067)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15065)), _u15069)))) | ( hAPP(hAPP(c_List_Otake(_u15065), _u15059), _u15067) != hAPP(hAPP(c_List_Otake(_u15065), _u15059), _u15069)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15065, _u15065)), hAPP(hAPP(c_Product__Type_OPair(_u15065, _u15065), hAPP(hAPP(c_List_Onth(_u15065), _u15067), _u15059)), hAPP(hAPP(c_List_Onth(_u15065), _u15069), _u15059))), _u15071)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__sublist ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__sublist-1, axiom, ( ( hAPP(c_List_Oset(_u15072), c_List_Osublist(_u15072, _u15073, _u15074)) = hAPP(c_Set_OCollect(_u15072), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u15072), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u15072, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u15072), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u15072), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u15072, tc_fun(tc_Nat_Onat, _u15072), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15072, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u15072), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u15072), c_COMBB(_u15072, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u15072), _u15073))))), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15072)), _u15073)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u15074)))))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_finite__set ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_finite__set-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u15075), hAPP(c_List_Oset(_u15075), _u15076))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__subset__Cons ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__subset__Cons-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15077, tc_HOL_Obool)), hAPP(c_List_Oset(_u15077), _u15078)), hAPP(c_List_Oset(_u15077), hAPP(hAPP(c_List_Olist_OCons(_u15077), _u15079), _u15078)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_take__all ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_take__all-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15080)), _u15081)), _u15082)) | ( hAPP(hAPP(c_List_Otake(_u15080), _u15082), _u15081) = _u15081) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__take__subset__set__take ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__take__subset__set__take-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15083), _u15084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15085, tc_HOL_Obool)), hAPP(c_List_Oset(_u15085), hAPP(hAPP(c_List_Otake(_u15085), _u15083), _u15086))), hAPP(c_List_Oset(_u15085), hAPP(hAPP(c_List_Otake(_u15085), _u15084), _u15086)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__take__subset ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__take__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15087, tc_HOL_Obool)), hAPP(c_List_Oset(_u15087), hAPP(hAPP(c_List_Otake(_u15087), _u15088), _u15089))), hAPP(c_List_Oset(_u15087), _u15089))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__sublist__subset ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__sublist__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15090, tc_HOL_Obool)), hAPP(c_List_Oset(_u15090), c_List_Osublist(_u15090, _u15091, _u15092))), hAPP(c_List_Oset(_u15090), _u15091))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_nth__take ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_nth__take-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15093), _u15094)) | ( hAPP(hAPP(c_List_Onth(_u15095), hAPP(hAPP(c_List_Otake(_u15095), _u15094), _u15096)), _u15093) = hAPP(hAPP(c_List_Onth(_u15095), _u15096), _u15093)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__ConsD ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__ConsD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15097), _u15098), hAPP(c_List_Oset(_u15097), hAPP(hAPP(c_List_Olist_OCons(_u15097), _u15099), _u15100)))) | ( _u15098 = _u15099) | hBOOL(hAPP(hAPP(c_member(_u15097), _u15098), hAPP(c_List_Oset(_u15097), _u15100))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_in__set__sublistD ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_in__set__sublistD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15101), _u15102), hAPP(c_List_Oset(_u15101), c_List_Osublist(_u15101, _u15103, _u15104)))) | hBOOL(hAPP(hAPP(c_member(_u15101), _u15102), hAPP(c_List_Oset(_u15101), _u15103))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_in__set__takeD ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_in__set__takeD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15105), _u15106), hAPP(c_List_Oset(_u15105), hAPP(hAPP(c_List_Otake(_u15105), _u15107), _u15108)))) | hBOOL(hAPP(hAPP(c_member(_u15105), _u15106), hAPP(c_List_Oset(_u15105), _u15108))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_notin__set__sublistI ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_notin__set__sublistI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15109), _u15110), hAPP(c_List_Oset(_u15109), _u15111))) | ~hBOOL(hAPP(hAPP(c_member(_u15109), _u15110), hAPP(c_List_Oset(_u15109), c_List_Osublist(_u15109, _u15111, _u15112)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_take__Suc__Cons ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_take__Suc__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15113), hAPP(c_Nat_OSuc, _u15114)), hAPP(hAPP(c_List_Olist_OCons(_u15113), _u15115), _u15116)) = hAPP(hAPP(c_List_Olist_OCons(_u15113), _u15115), hAPP(hAPP(c_List_Otake(_u15113), _u15114), _u15116))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_length__take ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_length__take-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15117)), hAPP(hAPP(c_List_Otake(_u15117), _u15118), _u15119)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15117)), _u15119)), _u15118)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_take__take ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_take__take-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15120), _u15121), hAPP(hAPP(c_List_Otake(_u15120), _u15122), _u15123)) = hAPP(hAPP(c_List_Otake(_u15120), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u15121), _u15122)), _u15123)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_List_Oset_Osimps_I2_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_List_Oset_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Oset(_u15124), hAPP(hAPP(c_List_Olist_OCons(_u15124), _u15125), _u15126)) = hAPP(hAPP(c_Set_Oinsert(_u15124), _u15125), hAPP(c_List_Oset(_u15124), _u15126))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sublist__upt__eq__take ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sublist__upt__eq__take-1, axiom, ( ( c_List_Osublist(_u15127, _u15128, hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u15129)) = hAPP(hAPP(c_List_Otake(_u15127), _u15129), _u15128)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_card__length ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_card__length-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u15130), hAPP(c_List_Oset(_u15130), _u15131))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15130)), _u15131))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_all__set__conv__all__nth ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_all__set__conv__all__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15133), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15139)), _u15141))) | hBOOL(hAPP(_u15143, hAPP(hAPP(c_List_Onth(_u15139), _u15141), _u15133))) | hBOOL(hAPP(hAPP(c_member(_u15139), skolem398(_u15143, _u15141, _u15139)), hAPP(c_List_Oset(_u15139), _u15141))) )).
% 19.51/19.73 cnf(fact_all__set__conv__all__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15133), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15139)), _u15141))) | hBOOL(hAPP(_u15143, hAPP(hAPP(c_List_Onth(_u15139), _u15141), _u15133))) | ~hBOOL(hAPP(_u15143, skolem398(_u15143, _u15141, _u15139))) )).
% 19.51/19.73 cnf(fact_all__set__conv__all__nth-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15140), _u15135), hAPP(c_List_Oset(_u15140), _u15142))) | hBOOL(hAPP(_u15144, _u15135)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem399(_u15144, _u15142, _u15140)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15140)), _u15142))) )).
% 19.51/19.73 cnf(fact_all__set__conv__all__nth-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15140), _u15135), hAPP(c_List_Oset(_u15140), _u15142))) | hBOOL(hAPP(_u15144, _u15135)) | ~hBOOL(hAPP(_u15144, hAPP(hAPP(c_List_Onth(_u15140), _u15142), skolem399(_u15144, _u15142, _u15140)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__size__estimation ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__size__estimation-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15145), _u15146), hAPP(c_List_Oset(_u15145), _u15147))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15148), hAPP(_u15149, _u15146))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15148), c_List_Olist_Olist__size(_u15145, _u15149, _u15147))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__size__estimation_H ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__size__estimation_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15150), _u15151), hAPP(c_List_Oset(_u15150), _u15152))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15153), hAPP(_u15154, _u15151))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15153), c_List_Olist_Olist__size(_u15150, _u15154, _u15152))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_in__lists__conv__set ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_in__lists__conv__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15160)), _u15162), c_List_Olists(_u15160, _u15164))) | ~hBOOL(hAPP(hAPP(c_member(_u15160), _u15155), hAPP(c_List_Oset(_u15160), _u15162))) | hBOOL(hAPP(hAPP(c_member(_u15160), _u15155), _u15164)) )).
% 19.51/19.73 cnf(fact_in__lists__conv__set-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15161)), _u15163), c_List_Olists(_u15161, _u15165))) | hBOOL(hAPP(hAPP(c_member(_u15161), skolem400(_u15165, _u15163, _u15161)), hAPP(c_List_Oset(_u15161), _u15163))) )).
% 19.51/19.73 cnf(fact_in__lists__conv__set-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15161)), _u15163), c_List_Olists(_u15161, _u15165))) | ~hBOOL(hAPP(hAPP(c_member(_u15161), skolem400(_u15165, _u15163, _u15161)), _u15165)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_length__pos__if__in__set ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_length__pos__if__in__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15166), _u15167), hAPP(c_List_Oset(_u15166), _u15168))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15166)), _u15168))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_nth__mem ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_nth__mem-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15169), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15170)), _u15171))) | hBOOL(hAPP(hAPP(c_member(_u15170), hAPP(hAPP(c_List_Onth(_u15170), _u15171), _u15169)), hAPP(c_List_Oset(_u15170), _u15171))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_in__set__conv__nth ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_in__set__conv__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15177), _u15179), hAPP(c_List_Oset(_u15177), _u15181))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem401(_u15181, _u15179, _u15177)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15177)), _u15181))) )).
% 19.51/19.73 cnf(fact_in__set__conv__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15177), _u15179), hAPP(c_List_Oset(_u15177), _u15181))) | ( hAPP(hAPP(c_List_Onth(_u15177), _u15181), skolem401(_u15181, _u15179, _u15177)) = _u15179) )).
% 19.51/19.73 cnf(fact_in__set__conv__nth-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15173), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15178)), _u15182))) | ( hAPP(hAPP(c_List_Onth(_u15178), _u15182), _u15173) != _u15180) | hBOOL(hAPP(hAPP(c_member(_u15178), _u15180), hAPP(c_List_Oset(_u15178), _u15182))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_lists__eq__set ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_lists__eq__set-1, axiom, ( ( c_List_Olists(_u15183, _u15184) = hAPP(c_Set_OCollect(tc_List_Olist(_u15183)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15183), tc_fun(_u15183, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15183, tc_HOL_Obool), tc_fun(tc_fun(_u15183, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15183)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u15183, tc_HOL_Obool))), c_List_Oset(_u15183))), _u15184))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__conv__nth ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__conv__nth-1, axiom, ( ( hAPP(c_List_Oset(_u15185), _u15186) = hAPP(c_Set_OCollect(_u15185), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u15185), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u15185, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u15185), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u15185), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u15185, tc_fun(tc_Nat_Onat, _u15185), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15185, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u15185), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u15185), c_COMBB(_u15185, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u15185), _u15186))))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15185)), _u15186)))))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_finite__lists__length__eq ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_finite__lists__length__eq-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15187), _u15188)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u15187)), hAPP(c_Set_OCollect(tc_List_Olist(_u15187)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15187), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15187)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15187), tc_fun(_u15187, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15187, tc_HOL_Obool), tc_fun(tc_fun(_u15187, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15187)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u15187, tc_HOL_Obool))), c_List_Oset(_u15187))), _u15188))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15187), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15187)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u15187)))), _u15189))))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_finite__lists__length__le ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_finite__lists__length__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15190), _u15191)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u15190)), hAPP(c_Set_OCollect(tc_List_Olist(_u15190)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15190), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15190)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15190), tc_fun(_u15190, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15190, tc_HOL_Obool), tc_fun(tc_fun(_u15190, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15190)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u15190, tc_HOL_Obool))), c_List_Oset(_u15190))), _u15191))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15190), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15190)), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u15190)))), _u15192))))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listrel__iff__zip ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listrel__iff__zip-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15199), tc_List_Olist(_u15199))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15199), tc_List_Olist(_u15199)), _u15201), _u15203)), c_List_Olistrel(_u15199, _u15205))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15199)), _u15201) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15199)), _u15203)) )).
% 19.51/19.73 cnf(fact_listrel__iff__zip-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15199), tc_List_Olist(_u15199))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15199), tc_List_Olist(_u15199)), _u15201), _u15203)), c_List_Olistrel(_u15199, _u15205))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15199, _u15199)), _u15193), hAPP(c_List_Oset(tc_prod(_u15199, _u15199)), hAPP(hAPP(c_List_Ozip(_u15199, _u15199), _u15201), _u15203)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15199, _u15199, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15199, tc_fun(tc_prod(_u15199, _u15199), tc_HOL_Obool), tc_fun(_u15199, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15199, tc_fun(tc_fun(tc_prod(_u15199, _u15199), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15199, _u15199), tc_HOL_Obool), tc_fun(_u15199, tc_HOL_Obool)), _u15199), c_COMBC(_u15199, tc_fun(tc_prod(_u15199, _u15199), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15199, tc_prod(_u15199, _u15199)), tc_fun(_u15199, tc_fun(tc_fun(tc_prod(_u15199, _u15199), tc_HOL_Obool), tc_HOL_Obool)), _u15199), hAPP(c_COMBB(tc_prod(_u15199, _u15199), tc_fun(tc_fun(tc_prod(_u15199, _u15199), tc_HOL_Obool), tc_HOL_Obool), _u15199), c_member(tc_prod(_u15199, _u15199)))), c_Product__Type_OPair(_u15199, _u15199)))), _u15205)), _u15193)) )).
% 19.51/19.73 cnf(fact_listrel__iff__zip-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15200), tc_List_Olist(_u15200))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15200), tc_List_Olist(_u15200)), _u15202), _u15204)), c_List_Olistrel(_u15200, _u15206))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15200)), _u15202) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15200)), _u15204)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15200, _u15200)), skolem402(_u15206, _u15204, _u15202, _u15200)), hAPP(c_List_Oset(tc_prod(_u15200, _u15200)), hAPP(hAPP(c_List_Ozip(_u15200, _u15200), _u15202), _u15204)))) )).
% 19.51/19.73 cnf(fact_listrel__iff__zip-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15200), tc_List_Olist(_u15200))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15200), tc_List_Olist(_u15200)), _u15202), _u15204)), c_List_Olistrel(_u15200, _u15206))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15200)), _u15202) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15200)), _u15204)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15200, _u15200, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15200, tc_fun(tc_prod(_u15200, _u15200), tc_HOL_Obool), tc_fun(_u15200, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15200, tc_fun(tc_fun(tc_prod(_u15200, _u15200), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15200, _u15200), tc_HOL_Obool), tc_fun(_u15200, tc_HOL_Obool)), _u15200), c_COMBC(_u15200, tc_fun(tc_prod(_u15200, _u15200), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15200, tc_prod(_u15200, _u15200)), tc_fun(_u15200, tc_fun(tc_fun(tc_prod(_u15200, _u15200), tc_HOL_Obool), tc_HOL_Obool)), _u15200), hAPP(c_COMBB(tc_prod(_u15200, _u15200), tc_fun(tc_fun(tc_prod(_u15200, _u15200), tc_HOL_Obool), tc_HOL_Obool), _u15200), c_member(tc_prod(_u15200, _u15200)))), c_Product__Type_OPair(_u15200, _u15200)))), _u15206)), skolem402(_u15206, _u15204, _u15202, _u15200))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__zip ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__zip-1, axiom, ( ( hAPP(c_List_Oset(tc_prod(_u15207, _u15208)), hAPP(hAPP(c_List_Ozip(_u15207, _u15208), _u15209), _u15210)) = hAPP(c_Set_OCollect(tc_prod(_u15207, _u15208)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u15207, _u15208)), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u15207, _u15208), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_prod(_u15207, _u15208)), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_prod(_u15207, _u15208)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(tc_prod(_u15207, _u15208), tc_fun(tc_Nat_Onat, tc_prod(_u15207, _u15208)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u15207, _u15208), tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_prod(_u15207, _u15208)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_prod(_u15207, _u15208)), c_COMBB(tc_prod(_u15207, _u15208), tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u15208, tc_prod(_u15207, _u15208)), hAPP(hAPP(c_COMBB(_u15207, tc_fun(_u15208, tc_prod(_u15207, _u15208)), tc_Nat_Onat), c_Product__Type_OPair(_u15207, _u15208)), hAPP(c_List_Onth(_u15207), _u15209))), hAPP(c_List_Onth(_u15208), _u15210)))))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15207)), _u15209)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15208)), _u15210))))))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_take__zip ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_take__zip-1, axiom, ( ( hAPP(hAPP(c_List_Otake(tc_prod(_u15211, _u15212)), _u15213), hAPP(hAPP(c_List_Ozip(_u15211, _u15212), _u15214), _u15215)) = hAPP(hAPP(c_List_Ozip(_u15211, _u15212), hAPP(hAPP(c_List_Otake(_u15211), _u15213), _u15214)), hAPP(hAPP(c_List_Otake(_u15212), _u15213), _u15215))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_length__zip ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_length__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_prod(_u15216, _u15217))), hAPP(hAPP(c_List_Ozip(_u15216, _u15217), _u15218), _u15219)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15216)), _u15218)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15217)), _u15219))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_zip__Cons__Cons ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_zip__Cons__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u15220, _u15221), hAPP(hAPP(c_List_Olist_OCons(_u15220), _u15222), _u15223)), hAPP(hAPP(c_List_Olist_OCons(_u15221), _u15224), _u15225)) = hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u15220, _u15221)), hAPP(hAPP(c_Product__Type_OPair(_u15220, _u15221), _u15222), _u15224)), hAPP(hAPP(c_List_Ozip(_u15220, _u15221), _u15223), _u15225))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__eq__iff__zip__eq ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__eq__iff__zip__eq-1, axiom, ( ( _u15231 != _u15233) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15235)), _u15231) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15235)), _u15233)) )).
% 19.51/19.73 cnf(fact_list__eq__iff__zip__eq-2, axiom, ( ( _u15231 != _u15233) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15235, _u15235)), _u15226), hAPP(c_List_Oset(tc_prod(_u15235, _u15235)), hAPP(hAPP(c_List_Ozip(_u15235, _u15235), _u15231), _u15233)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15235, _u15235, tc_HOL_Obool), c_fequal), _u15226)) )).
% 19.51/19.73 cnf(fact_list__eq__iff__zip__eq-3, axiom, ( ( _u15232 = _u15234) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15236)), _u15232) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15236)), _u15234)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15236, _u15236)), skolem403(_u15236, _u15234, _u15232)), hAPP(c_List_Oset(tc_prod(_u15236, _u15236)), hAPP(hAPP(c_List_Ozip(_u15236, _u15236), _u15232), _u15234)))) )).
% 19.51/19.73 cnf(fact_list__eq__iff__zip__eq-4, axiom, ( ( _u15232 = _u15234) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15236)), _u15232) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15236)), _u15234)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15236, _u15236, tc_HOL_Obool), c_fequal), skolem403(_u15236, _u15234, _u15232))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_zip__same ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_zip__same-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15241, _u15241)), hAPP(hAPP(c_Product__Type_OPair(_u15241, _u15241), _u15243), _u15245)), hAPP(c_List_Oset(tc_prod(_u15241, _u15241)), hAPP(hAPP(c_List_Ozip(_u15241, _u15241), _u15247), _u15247)))) | hBOOL(hAPP(hAPP(c_member(_u15241), _u15243), hAPP(c_List_Oset(_u15241), _u15247))) )).
% 19.51/19.73 cnf(fact_zip__same-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15241, _u15241)), hAPP(hAPP(c_Product__Type_OPair(_u15241, _u15241), _u15243), _u15245)), hAPP(c_List_Oset(tc_prod(_u15241, _u15241)), hAPP(hAPP(c_List_Ozip(_u15241, _u15241), _u15247), _u15247)))) | ( _u15243 = _u15245) )).
% 19.51/19.73 cnf(fact_zip__same-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15242), _u15244), hAPP(c_List_Oset(_u15242), _u15248))) | ( _u15244 != _u15246) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15242, _u15242)), hAPP(hAPP(c_Product__Type_OPair(_u15242, _u15242), _u15244), _u15246)), hAPP(c_List_Oset(tc_prod(_u15242, _u15242)), hAPP(hAPP(c_List_Ozip(_u15242, _u15242), _u15248), _u15248)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__zip__leftD ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__zip__leftD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15249, _u15250)), hAPP(hAPP(c_Product__Type_OPair(_u15249, _u15250), _u15251), _u15252)), hAPP(c_List_Oset(tc_prod(_u15249, _u15250)), hAPP(hAPP(c_List_Ozip(_u15249, _u15250), _u15253), _u15254)))) | hBOOL(hAPP(hAPP(c_member(_u15249), _u15251), hAPP(c_List_Oset(_u15249), _u15253))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__zip__rightD ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__zip__rightD-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15256), _u15258), hAPP(c_List_Oset(_u15256), _u15260))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15255, _u15256)), hAPP(hAPP(c_Product__Type_OPair(_u15255, _u15256), _u15257), _u15258)), hAPP(c_List_Oset(tc_prod(_u15255, _u15256)), hAPP(hAPP(c_List_Ozip(_u15255, _u15256), _u15259), _u15260)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_in__set__zipE ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_in__set__zipE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15261, _u15262)), hAPP(hAPP(c_Product__Type_OPair(_u15261, _u15262), _u15263), _u15264)), hAPP(c_List_Oset(tc_prod(_u15261, _u15262)), hAPP(hAPP(c_List_Ozip(_u15261, _u15262), _u15265), _u15266)))) | hBOOL(hAPP(hAPP(c_member(_u15261), _u15263), hAPP(c_List_Oset(_u15261), _u15265))) )).
% 19.51/19.73 cnf(fact_in__set__zipE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15261, _u15262)), hAPP(hAPP(c_Product__Type_OPair(_u15261, _u15262), _u15263), _u15264)), hAPP(c_List_Oset(tc_prod(_u15261, _u15262)), hAPP(hAPP(c_List_Ozip(_u15261, _u15262), _u15265), _u15266)))) | hBOOL(hAPP(hAPP(c_member(_u15262), _u15264), hAPP(c_List_Oset(_u15262), _u15266))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_nth__zip ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_nth__zip-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15267), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15268)), _u15269))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15267), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15270)), _u15271))) | ( hAPP(hAPP(c_List_Onth(tc_prod(_u15268, _u15270)), hAPP(hAPP(c_List_Ozip(_u15268, _u15270), _u15269), _u15271)), _u15267) = hAPP(hAPP(c_Product__Type_OPair(_u15268, _u15270), hAPP(hAPP(c_List_Onth(_u15268), _u15269), _u15267)), hAPP(hAPP(c_List_Onth(_u15270), _u15271), _u15267))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_greaterThanLessThan__upto ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_greaterThanLessThan__upto-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u15272, _u15273) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15272), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u15273), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listsum__setsum__nth ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listsum__setsum__nth-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15274) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15274), _u15275) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u15274), hAPP(c_List_Onth(_u15274), _u15275)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15274)), _u15275)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_atLeastAtMost__upto ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_atLeastAtMost__upto-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u15276, _u15277) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15276, _u15277))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__upto ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__upto-1, axiom, ( ( hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15278, _u15279)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u15278, _u15279)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listsum__eq__0__nat__iff__nat ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listsum__eq__0__nat__iff__nat-1, axiom, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15283) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u15280), hAPP(c_List_Oset(tc_Nat_Onat), _u15283))) | ( _u15280 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.73 cnf(fact_listsum__eq__0__nat__iff__nat-2, axiom, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15284) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem404(_u15284)), hAPP(c_List_Oset(tc_Nat_Onat), _u15284))) )).
% 19.51/19.73 cnf(fact_listsum__eq__0__nat__iff__nat-3, axiom, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15284) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem404(_u15284) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listsum__simps_I2_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listsum__simps_I2_J-1, axiom, ( ~class_Groups_Omonoid__add(_u15285) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15285), hAPP(hAPP(c_List_Olist_OCons(_u15285), _u15286), _u15287)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15285), _u15286), hAPP(c_List_Omonoid__add__class_Olistsum(_u15285), _u15287))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_elem__le__listsum__nat ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_elem__le__listsum__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15288), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u15289))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u15289), _u15288)), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15289))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_atLeastLessThan__upto ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_atLeastLessThan__upto-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u15290), _u15291) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15290, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u15291), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_greaterThanAtMost__upto ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_greaterThanAtMost__upto-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u15292, _u15293) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15292), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u15293))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_nat__list__def ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_nat__list__def-1, axiom, ( ~c_List_Onat__list(_u15295) | c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u15295)) )).
% 19.51/19.73 cnf(fact_nat__list__def-2, axiom, ( ~c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u15296)) | c_List_Onat__list(_u15296) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__size__pointwise ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__size__pointwise-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u15298, _u15300, _u15299)), c_List_Olist_Olist__size(_u15298, _u15301, _u15299))) | hBOOL(hAPP(hAPP(c_member(_u15298), skolem405(_u15301, _u15300, _u15299, _u15298)), hAPP(c_List_Oset(_u15298), _u15299))) )).
% 19.51/19.73 cnf(fact_list__size__pointwise-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u15298, _u15300, _u15299)), c_List_Olist_Olist__size(_u15298, _u15301, _u15299))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u15300, skolem405(_u15301, _u15300, _u15299, _u15298))), hAPP(_u15301, skolem405(_u15301, _u15300, _u15299, _u15298)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listsum__update__nat ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listsum__update__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15302), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u15303))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Olist__update(tc_Nat_Onat, _u15303), _u15302), _u15304)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15303)), _u15304)), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u15303), _u15302))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_butlast__take ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_butlast__take-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15305), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15306)), _u15307))) | ( c_List_Obutlast(_u15306, hAPP(hAPP(c_List_Otake(_u15306), _u15305), _u15307)) = hAPP(hAPP(c_List_Otake(_u15306), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15305), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15307)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__update__beyond ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__update__beyond-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15308)), _u15309)), _u15310)) | ( hAPP(hAPP(c_List_Olist__update(_u15308, _u15309), _u15310), _u15311) = _u15309) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__update__id ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__update__id-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15312, _u15313), _u15314), hAPP(hAPP(c_List_Onth(_u15312), _u15313), _u15314)) = _u15313) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_nth__list__update__neq ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_nth__list__update__neq-1, axiom, ( ( _u15315 = _u15316) | ( hAPP(hAPP(c_List_Onth(_u15317), hAPP(hAPP(c_List_Olist__update(_u15317, _u15318), _u15315), _u15319)), _u15316) = hAPP(hAPP(c_List_Onth(_u15317), _u15318), _u15316)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_butlast__list__update ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_butlast__list__update-1, axiom, ( ( _u15324 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15326)), _u15328)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u15326, hAPP(hAPP(c_List_Olist__update(_u15326, _u15328), _u15324), _u15330)) = c_List_Obutlast(_u15326, _u15328)) )).
% 19.51/19.73 cnf(fact_butlast__list__update-2, axiom, ( ( _u15325 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15327)), _u15329)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u15327, hAPP(hAPP(c_List_Olist__update(_u15327, _u15329), _u15325), _u15331)) = hAPP(hAPP(c_List_Olist__update(_u15327, c_List_Obutlast(_u15327, _u15329)), _u15325), _u15331)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_length__list__update ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_length__list__update-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15332)), hAPP(hAPP(c_List_Olist__update(_u15332, _u15333), _u15334), _u15335)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15332)), _u15333)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_zip__update ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_zip__update-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u15336, _u15337), hAPP(hAPP(c_List_Olist__update(_u15336, _u15338), _u15339), _u15340)), hAPP(hAPP(c_List_Olist__update(_u15337, _u15341), _u15339), _u15342)) = hAPP(hAPP(c_List_Olist__update(tc_prod(_u15336, _u15337), hAPP(hAPP(c_List_Ozip(_u15336, _u15337), _u15338), _u15341)), _u15339), hAPP(hAPP(c_Product__Type_OPair(_u15336, _u15337), _u15340), _u15342))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_update__zip ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_update__zip-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(tc_prod(_u15343, _u15344), hAPP(hAPP(c_List_Ozip(_u15343, _u15344), _u15345), _u15346)), _u15347), _u15348) = hAPP(hAPP(c_List_Ozip(_u15343, _u15344), hAPP(hAPP(c_List_Olist__update(_u15343, _u15345), _u15347), hAPP(c_Product__Type_Ofst(_u15343, _u15344), _u15348))), hAPP(hAPP(c_List_Olist__update(_u15344, _u15346), _u15347), hAPP(c_Product__Type_Osnd(_u15343, _u15344), _u15348)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__update__swap ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__update__swap-1, axiom, ( ( _u15349 = _u15350) | ( hAPP(hAPP(c_List_Olist__update(_u15351, hAPP(hAPP(c_List_Olist__update(_u15351, _u15352), _u15349), _u15353)), _u15350), _u15354) = hAPP(hAPP(c_List_Olist__update(_u15351, hAPP(hAPP(c_List_Olist__update(_u15351, _u15352), _u15350), _u15354)), _u15349), _u15353)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__update__overwrite ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__update__overwrite-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15355, hAPP(hAPP(c_List_Olist__update(_u15355, _u15356), _u15357), _u15358)), _u15357), _u15359) = hAPP(hAPP(c_List_Olist__update(_u15355, _u15356), _u15357), _u15359)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__update_Osimps_I2_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__update_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15360, hAPP(hAPP(c_List_Olist_OCons(_u15360), _u15361), _u15362)), _u15363), _u15364) = c_Nat_Onat_Onat__case(tc_List_Olist(_u15360), hAPP(hAPP(c_List_Olist_OCons(_u15360), _u15364), _u15362), hAPP(hAPP(c_COMBB(tc_List_Olist(_u15360), tc_List_Olist(_u15360), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u15360), _u15361)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u15360, tc_List_Olist(_u15360)), c_List_Olist__update(_u15360, _u15362)), _u15364)), _u15363)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__update__code_I3_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__update__code_I3_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15365, hAPP(hAPP(c_List_Olist_OCons(_u15365), _u15366), _u15367)), hAPP(c_Nat_OSuc, _u15368)), _u15369) = hAPP(hAPP(c_List_Olist_OCons(_u15365), _u15366), hAPP(hAPP(c_List_Olist__update(_u15365, _u15367), _u15368), _u15369))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__update__code_I2_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__update__code_I2_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15370, hAPP(hAPP(c_List_Olist_OCons(_u15370), _u15371), _u15372)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15373) = hAPP(hAPP(c_List_Olist_OCons(_u15370), _u15373), _u15372)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_in__set__butlastD ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_in__set__butlastD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15374), _u15375), hAPP(c_List_Oset(_u15374), c_List_Obutlast(_u15374, _u15376)))) | hBOOL(hAPP(hAPP(c_member(_u15374), _u15375), hAPP(c_List_Oset(_u15374), _u15376))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__update__subsetI ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__update__subsetI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15377, tc_HOL_Obool)), hAPP(c_List_Oset(_u15377), _u15378)), _u15379)) | ~hBOOL(hAPP(hAPP(c_member(_u15377), _u15380), _u15379)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15377, tc_HOL_Obool)), hAPP(c_List_Oset(_u15377), hAPP(hAPP(c_List_Olist__update(_u15377, _u15378), _u15381), _u15380))), _u15379)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__update__subset__insert ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__update__subset__insert-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15382, tc_HOL_Obool)), hAPP(c_List_Oset(_u15382), hAPP(hAPP(c_List_Olist__update(_u15382, _u15383), _u15384), _u15385))), hAPP(hAPP(c_Set_Oinsert(_u15382), _u15385), hAPP(c_List_Oset(_u15382), _u15383)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_nth__list__update__eq ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_nth__list__update__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15386), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15387)), _u15388))) | ( hAPP(hAPP(c_List_Onth(_u15387), hAPP(hAPP(c_List_Olist__update(_u15387, _u15388), _u15386), _u15389)), _u15386) = _u15389) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__update__same__conv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__update__same__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15390), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15391)), _u15392))) | ( hAPP(hAPP(c_List_Olist__update(_u15391, _u15392), _u15390), _u15393) != _u15392) | ( hAPP(hAPP(c_List_Onth(_u15391), _u15392), _u15390) = _u15393) )).
% 19.51/19.73 cnf(fact_list__update__same__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15390), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15391)), _u15392))) | ( hAPP(hAPP(c_List_Onth(_u15391), _u15392), _u15390) != _u15393) | ( hAPP(hAPP(c_List_Olist__update(_u15391, _u15392), _u15390), _u15393) = _u15392) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_nth__list__update ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_nth__list__update-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15394), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15395)), _u15396))) | ( _u15394 != _u15397) | ( hAPP(hAPP(c_List_Onth(_u15395), hAPP(hAPP(c_List_Olist__update(_u15395, _u15396), _u15394), _u15398)), _u15397) = _u15398) )).
% 19.51/19.73 cnf(fact_nth__list__update-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15394), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15395)), _u15396))) | ( _u15394 = _u15397) | ( hAPP(hAPP(c_List_Onth(_u15395), hAPP(hAPP(c_List_Olist__update(_u15395, _u15396), _u15394), _u15398)), _u15397) = hAPP(hAPP(c_List_Onth(_u15395), _u15396), _u15397)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_take__butlast ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_take__butlast-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15399), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15400)), _u15401))) | ( hAPP(hAPP(c_List_Otake(_u15400), _u15399), c_List_Obutlast(_u15400, _u15401)) = hAPP(hAPP(c_List_Otake(_u15400), _u15399), _u15401)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_length__butlast ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_length__butlast-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15402)), c_List_Obutlast(_u15402, _u15403)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15402)), _u15403)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__update__memI ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__update__memI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15404), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15405)), _u15406))) | hBOOL(hAPP(hAPP(c_member(_u15405), _u15407), hAPP(c_List_Oset(_u15405), hAPP(hAPP(c_List_Olist__update(_u15405, _u15406), _u15404), _u15407)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_butlast__conv__take ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_butlast__conv__take-1, axiom, ( ( c_List_Obutlast(_u15408, _u15409) = hAPP(hAPP(c_List_Otake(_u15408), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15408)), _u15409)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15409)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listrel1__iff__update ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listrel1__iff__update-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15418), tc_List_Olist(_u15418))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15418), tc_List_Olist(_u15418)), _u15420), _u15422)), c_List_Olistrel1(_u15418, _u15424))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15418, _u15418)), hAPP(hAPP(c_Product__Type_OPair(_u15418, _u15418), hAPP(hAPP(c_List_Onth(_u15418), _u15420), skolem407(_u15424, _u15422, _u15420, _u15418))), skolem406(_u15424, _u15422, _u15420, _u15418))), _u15424)) )).
% 19.51/19.73 cnf(fact_listrel1__iff__update-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15418), tc_List_Olist(_u15418))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15418), tc_List_Olist(_u15418)), _u15420), _u15422)), c_List_Olistrel1(_u15418, _u15424))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem407(_u15424, _u15422, _u15420, _u15418)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15418)), _u15420))) )).
% 19.51/19.73 cnf(fact_listrel1__iff__update-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15418), tc_List_Olist(_u15418))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15418), tc_List_Olist(_u15418)), _u15420), _u15422)), c_List_Olistrel1(_u15418, _u15424))) | ( _u15422 = hAPP(hAPP(c_List_Olist__update(_u15418, _u15420), skolem407(_u15424, _u15422, _u15420, _u15418)), skolem406(_u15424, _u15422, _u15420, _u15418))) )).
% 19.51/19.73 cnf(fact_listrel1__iff__update-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15419, _u15419)), hAPP(hAPP(c_Product__Type_OPair(_u15419, _u15419), hAPP(hAPP(c_List_Onth(_u15419), _u15421), _u15412)), _u15413)), _u15425)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15412), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15419)), _u15421))) | ( _u15423 != hAPP(hAPP(c_List_Olist__update(_u15419, _u15421), _u15412), _u15413)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15419), tc_List_Olist(_u15419))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15419), tc_List_Olist(_u15419)), _u15421), _u15423)), c_List_Olistrel1(_u15419, _u15425))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_distinct__list__update ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_distinct__list__update-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15426), _u15427)) | hBOOL(hAPP(hAPP(c_member(_u15426), _u15428), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15426, tc_HOL_Obool)), hAPP(c_List_Oset(_u15426), _u15427)), hAPP(hAPP(c_Set_Oinsert(_u15426), hAPP(hAPP(c_List_Onth(_u15426), _u15427), _u15429)), c_Orderings_Obot__class_Obot(tc_fun(_u15426, tc_HOL_Obool)))))) | hBOOL(hAPP(c_List_Odistinct(_u15426), hAPP(hAPP(c_List_Olist__update(_u15426, _u15427), _u15429), _u15428))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_distinct__upto ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_distinct__upto-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint), c_List_Oupto(_u15430, _u15431))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_distinct__take ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_distinct__take-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15432), _u15433)) | hBOOL(hAPP(c_List_Odistinct(_u15432), hAPP(hAPP(c_List_Otake(_u15432), _u15434), _u15433))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_distinct__sublistI ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_distinct__sublistI-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15435), _u15436)) | hBOOL(hAPP(c_List_Odistinct(_u15435), c_List_Osublist(_u15435, _u15436, _u15437))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_distinct__zipI2 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_distinct__zipI2-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15438), _u15439)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u15440, _u15438)), hAPP(hAPP(c_List_Ozip(_u15440, _u15438), _u15441), _u15439))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_distinct__zipI1 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_distinct__zipI1-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15442), _u15443)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u15442, _u15444)), hAPP(hAPP(c_List_Ozip(_u15442, _u15444), _u15443), _u15445))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_distinct_Osimps_I2_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_distinct_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15449), hAPP(hAPP(c_List_Olist_OCons(_u15449), _u15451), _u15453))) | ~hBOOL(hAPP(hAPP(c_member(_u15449), _u15451), hAPP(c_List_Oset(_u15449), _u15453))) )).
% 19.51/19.73 cnf(fact_distinct_Osimps_I2_J-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15449), hAPP(hAPP(c_List_Olist_OCons(_u15449), _u15451), _u15453))) | hBOOL(hAPP(c_List_Odistinct(_u15449), _u15453)) )).
% 19.51/19.73 cnf(fact_distinct_Osimps_I2_J-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15450), _u15452), hAPP(c_List_Oset(_u15450), _u15454))) | ~hBOOL(hAPP(c_List_Odistinct(_u15450), _u15454)) | hBOOL(hAPP(c_List_Odistinct(_u15450), hAPP(hAPP(c_List_Olist_OCons(_u15450), _u15452), _u15454))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_card__distinct ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_card__distinct-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u15455), hAPP(c_List_Oset(_u15455), _u15456)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15455)), _u15456)) | hBOOL(hAPP(c_List_Odistinct(_u15455), _u15456)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_distinct__card ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_distinct__card-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15457), _u15458)) | ( hAPP(c_Finite__Set_Ocard(_u15457), hAPP(c_List_Oset(_u15457), _u15458)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15457)), _u15458)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_nth__eq__iff__index__eq ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_nth__eq__iff__index__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15459), _u15460)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15461), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15459)), _u15460))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15462), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15459)), _u15460))) | ( hAPP(hAPP(c_List_Onth(_u15459), _u15460), _u15461) != hAPP(hAPP(c_List_Onth(_u15459), _u15460), _u15462)) | ( _u15461 = _u15462) )).
% 19.51/19.73 cnf(fact_nth__eq__iff__index__eq-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15459), _u15460)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15461), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15459)), _u15460))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15462), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15459)), _u15460))) | ( _u15461 != _u15462) | ( hAPP(hAPP(c_List_Onth(_u15459), _u15460), _u15461) = hAPP(hAPP(c_List_Onth(_u15459), _u15460), _u15462)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_distinct__conv__nth ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_distinct__conv__nth-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15469), _u15471)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15464), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15469)), _u15471))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15463), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15469)), _u15471))) | ( _u15464 = _u15463) | ( hAPP(hAPP(c_List_Onth(_u15469), _u15471), _u15464) != hAPP(hAPP(c_List_Onth(_u15469), _u15471), _u15463)) )).
% 19.51/19.73 cnf(fact_distinct__conv__nth-2, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u15470), _u15472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem408(_u15472, _u15470)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15470)), _u15472))) )).
% 19.51/19.73 cnf(fact_distinct__conv__nth-3, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u15470), _u15472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem409(_u15472, _u15470)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15470)), _u15472))) )).
% 19.51/19.73 cnf(fact_distinct__conv__nth-4, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u15470), _u15472)) | ( skolem408(_u15472, _u15470) != skolem409(_u15472, _u15470)) )).
% 19.51/19.73 cnf(fact_distinct__conv__nth-5, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u15470), _u15472)) | ( hAPP(hAPP(c_List_Onth(_u15470), _u15472), skolem408(_u15472, _u15470)) = hAPP(hAPP(c_List_Onth(_u15470), _u15472), skolem409(_u15472, _u15470))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_distinct__listsum__conv__Setsum ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_distinct__listsum__conv__Setsum-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u15473) | ~hBOOL(hAPP(c_List_Odistinct(_u15473), _u15474)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15473), _u15474) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15473, _u15473), c_COMBI(_u15473)), hAPP(c_List_Oset(_u15473), _u15474))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_Nitpick_Ocard_H__def ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_Nitpick_Ocard_H__def-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15477), _u15479)) | ( c_Nitpick_Ocard_H(_u15477, _u15479) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15477)), c_Hilbert__Choice_OEps(tc_List_Olist(_u15477), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15477), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15477)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15477), tc_fun(_u15477, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15477, tc_HOL_Obool), tc_fun(tc_fun(_u15477, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15477)), c_fequal), c_List_Oset(_u15477))), _u15479))), c_List_Odistinct(_u15477))))) )).
% 19.51/19.73 cnf(fact_Nitpick_Ocard_H__def-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u15478), _u15480)) | ( c_Nitpick_Ocard_H(_u15478, _u15480) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_nth__take__lemma ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_nth__take__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15482), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15483)), _u15484))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15482), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15483)), _u15485))) | ( hAPP(hAPP(c_List_Otake(_u15483), _u15482), _u15484) = hAPP(hAPP(c_List_Otake(_u15483), _u15482), _u15485)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem410(_u15485, _u15484, _u15483, _u15482)), _u15482)) )).
% 19.51/19.73 cnf(fact_nth__take__lemma-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15482), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15483)), _u15484))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15482), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15483)), _u15485))) | ( hAPP(hAPP(c_List_Otake(_u15483), _u15482), _u15484) = hAPP(hAPP(c_List_Otake(_u15483), _u15482), _u15485)) | ( hAPP(hAPP(c_List_Onth(_u15483), _u15484), skolem410(_u15485, _u15484, _u15483, _u15482)) != hAPP(hAPP(c_List_Onth(_u15483), _u15485), skolem410(_u15485, _u15484, _u15483, _u15482))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__remove1__eq ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__remove1__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15486), _u15487)) | ( hAPP(c_List_Oset(_u15486), c_List_Oremove1(_u15486, _u15488, _u15487)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15486, tc_HOL_Obool)), hAPP(c_List_Oset(_u15486), _u15487)), hAPP(hAPP(c_Set_Oinsert(_u15486), _u15488), c_Orderings_Obot__class_Obot(tc_fun(_u15486, tc_HOL_Obool))))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_take__Cons__number__of ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_take__Cons__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15493) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u15495), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15493)), hAPP(hAPP(c_List_Olist_OCons(_u15495), _u15497), _u15499)) = c_List_Olist_ONil(_u15495)) )).
% 19.51/19.73 cnf(fact_take__Cons__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15494) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u15496), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15494)), hAPP(hAPP(c_List_Olist_OCons(_u15496), _u15498), _u15500)) = hAPP(hAPP(c_List_Olist_OCons(_u15496), _u15498), hAPP(hAPP(c_List_Otake(_u15496), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15494)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15500))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_lists_ONil ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_lists_ONil-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15501)), c_List_Olist_ONil(_u15501)), c_List_Olists(_u15501, _u15502))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listrel__Nil1 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listrel__Nil1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15503), tc_List_Olist(_u15503))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15503), tc_List_Olist(_u15503)), c_List_Olist_ONil(_u15503)), _u15504)), c_List_Olistrel(_u15503, _u15505))) | ( _u15504 = c_List_Olist_ONil(_u15503)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listrel__Nil2 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listrel__Nil2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15506), tc_List_Olist(_u15506))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15506), tc_List_Olist(_u15506)), _u15507), c_List_Olist_ONil(_u15506))), c_List_Olistrel(_u15506, _u15508))) | ( _u15507 = c_List_Olist_ONil(_u15506)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_distinct__butlast ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_distinct__butlast-1, axiom, ( ( _u15509 = c_List_Olist_ONil(_u15510)) | ~hBOOL(hAPP(c_List_Odistinct(_u15510), _u15509)) | hBOOL(hAPP(c_List_Odistinct(_u15510), c_List_Obutlast(_u15510, _u15509))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_distinct_Osimps_I1_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_distinct_Osimps_I1_J-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u15511), c_List_Olist_ONil(_u15511))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_distinct__remove1 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_distinct__remove1-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u15512), _u15513)) | hBOOL(hAPP(c_List_Odistinct(_u15512), c_List_Oremove1(_u15512, _u15514, _u15513))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_butlast_Osimps_I1_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_butlast_Osimps_I1_J-1, axiom, ( ( c_List_Obutlast(_u15515, c_List_Olist_ONil(_u15515)) = c_List_Olist_ONil(_u15515)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_butlast_Osimps_I2_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_butlast_Osimps_I2_J-1, axiom, ( ( _u15519 != c_List_Olist_ONil(_u15521)) | ( c_List_Obutlast(_u15521, hAPP(hAPP(c_List_Olist_OCons(_u15521), _u15523), _u15519)) = c_List_Olist_ONil(_u15521)) )).
% 19.51/19.73 cnf(fact_butlast_Osimps_I2_J-2, axiom, ( ( _u15520 = c_List_Olist_ONil(_u15522)) | ( c_List_Obutlast(_u15522, hAPP(hAPP(c_List_Olist_OCons(_u15522), _u15524), _u15520)) = hAPP(hAPP(c_List_Olist_OCons(_u15522), _u15524), c_List_Obutlast(_u15522, _u15520))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_remove1_Osimps_I2_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_remove1_Osimps_I2_J-1, axiom, ( ( _u15529 != _u15531) | ( c_List_Oremove1(_u15533, _u15529, hAPP(hAPP(c_List_Olist_OCons(_u15533), _u15531), _u15535)) = _u15535) )).
% 19.51/19.73 cnf(fact_remove1_Osimps_I2_J-2, axiom, ( ( _u15530 = _u15532) | ( c_List_Oremove1(_u15534, _u15530, hAPP(hAPP(c_List_Olist_OCons(_u15534), _u15532), _u15536)) = hAPP(hAPP(c_List_Olist_OCons(_u15534), _u15532), c_List_Oremove1(_u15534, _u15530, _u15536))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list_Osimps_I3_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list_Osimps_I3_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15537), _u15538), _u15539) != c_List_Olist_ONil(_u15537)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list_Osimps_I2_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list_Osimps_I2_J-1, axiom, ( ( c_List_Olist_ONil(_u15540) != hAPP(hAPP(c_List_Olist_OCons(_u15540), _u15541), _u15542)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_upto__empty ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_upto__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u15543), _u15544)) | ( c_List_Oupto(_u15544, _u15543) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_take__Nil ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_take__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15545), _u15546), c_List_Olist_ONil(_u15545)) = c_List_Olist_ONil(_u15545)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_take__0 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_take__0-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15547), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15548) = c_List_Olist_ONil(_u15547)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_take__eq__Nil ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_take__eq__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15552), _u15554), _u15556) != c_List_Olist_ONil(_u15552)) | ( _u15554 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u15556 = c_List_Olist_ONil(_u15552)) )).
% 19.51/19.73 cnf(fact_take__eq__Nil-2, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15553), _u15555), _u15557) = c_List_Olist_ONil(_u15553)) | ( _u15555 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.73 cnf(fact_take__eq__Nil-3, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15553), _u15555), _u15557) = c_List_Olist_ONil(_u15553)) | ( _u15557 != c_List_Olist_ONil(_u15553)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sublist__nil ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sublist__nil-1, axiom, ( ( c_List_Osublist(_u15558, c_List_Olist_ONil(_u15558), _u15559) = c_List_Olist_ONil(_u15558)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_remove1_Osimps_I1_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_remove1_Osimps_I1_J-1, axiom, ( ( c_List_Oremove1(_u15560, _u15561, c_List_Olist_ONil(_u15560)) = c_List_Olist_ONil(_u15560)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_remove1__commute ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_remove1__commute-1, axiom, ( ( c_List_Oremove1(_u15562, _u15563, c_List_Oremove1(_u15562, _u15564, _u15565)) = c_List_Oremove1(_u15562, _u15564, c_List_Oremove1(_u15562, _u15563, _u15565))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listrelp_ONil ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listrelp_ONil-1, axiom, ( c_List_Olistrelp(_u15566, _u15567, c_List_Olist_ONil(_u15566), c_List_Olist_ONil(_u15566)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listrelp_Oequations_I1_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listrelp_Oequations_I1_J-1, axiom, ( c_List_Olistrelp(_u15568, _u15569, c_List_Olist_ONil(_u15568), c_List_Olist_ONil(_u15568)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_zip_Osimps_I1_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_zip_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u15570, _u15571), _u15572), c_List_Olist_ONil(_u15571)) = c_List_Olist_ONil(tc_prod(_u15570, _u15571))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_zip__Nil ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_zip__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u15573, _u15574), c_List_Olist_ONil(_u15573)), _u15575) = c_List_Olist_ONil(tc_prod(_u15573, _u15574))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listsum__simps_I1_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listsum__simps_I1_J-1, axiom, ( ~class_Groups_Omonoid__add(_u15576) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15576), c_List_Olist_ONil(_u15576)) = c_Groups_Ozero__class_Ozero(_u15576)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list_Osize_I3_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15577)), c_List_Olist_ONil(_u15577)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_length__0__conv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_length__0__conv-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15580)), _u15582) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u15582 = c_List_Olist_ONil(_u15580)) )).
% 19.51/19.73 cnf(fact_length__0__conv-2, axiom, ( ( _u15583 != c_List_Olist_ONil(_u15581)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15581)), _u15583) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__empty ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__empty-1, axiom, ( ( hAPP(c_List_Oset(_u15586), _u15588) != c_Orderings_Obot__class_Obot(tc_fun(_u15586, tc_HOL_Obool))) | ( _u15588 = c_List_Olist_ONil(_u15586)) )).
% 19.51/19.73 cnf(fact_set__empty-2, axiom, ( ( _u15589 != c_List_Olist_ONil(_u15587)) | ( hAPP(c_List_Oset(_u15587), _u15589) = c_Orderings_Obot__class_Obot(tc_fun(_u15587, tc_HOL_Obool))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__empty2 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__empty2-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u15592, tc_HOL_Obool)) != hAPP(c_List_Oset(_u15592), _u15594)) | ( _u15594 = c_List_Olist_ONil(_u15592)) )).
% 19.51/19.73 cnf(fact_set__empty2-2, axiom, ( ( _u15595 != c_List_Olist_ONil(_u15593)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u15593, tc_HOL_Obool)) = hAPP(c_List_Oset(_u15593), _u15595)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_List_Oset_Osimps_I1_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_List_Oset_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Oset(_u15596), c_List_Olist_ONil(_u15596)) = c_Orderings_Obot__class_Obot(tc_fun(_u15596, tc_HOL_Obool))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__update__nonempty ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__update__nonempty-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15601, _u15603), _u15605), _u15607) != c_List_Olist_ONil(_u15601)) | ( _u15603 = c_List_Olist_ONil(_u15601)) )).
% 19.51/19.73 cnf(fact_list__update__nonempty-2, axiom, ( ( _u15604 != c_List_Olist_ONil(_u15602)) | ( hAPP(hAPP(c_List_Olist__update(_u15602, _u15604), _u15606), _u15608) = c_List_Olist_ONil(_u15602)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__update_Osimps_I1_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__update_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15609, c_List_Olist_ONil(_u15609)), _u15610), _u15611) = c_List_Olist_ONil(_u15609)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__update__code_I1_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__update__code_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15612, c_List_Olist_ONil(_u15612)), _u15613), _u15614) = c_List_Olist_ONil(_u15612)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list_Osize_I1_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list_Osize_I1_J-1, axiom, ( ( c_List_Olist_Olist__size(_u15615, _u15616, c_List_Olist_ONil(_u15615)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_in__set__remove1 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_in__set__remove1-1, axiom, ( ( _u15617 = _u15618) | ~hBOOL(hAPP(hAPP(c_member(_u15619), _u15617), hAPP(c_List_Oset(_u15619), c_List_Oremove1(_u15619, _u15618, _u15620)))) | hBOOL(hAPP(hAPP(c_member(_u15619), _u15617), hAPP(c_List_Oset(_u15619), _u15620))) )).
% 19.51/19.73 cnf(fact_in__set__remove1-2, axiom, ( ( _u15617 = _u15618) | ~hBOOL(hAPP(hAPP(c_member(_u15619), _u15617), hAPP(c_List_Oset(_u15619), _u15620))) | hBOOL(hAPP(hAPP(c_member(_u15619), _u15617), hAPP(c_List_Oset(_u15619), c_List_Oremove1(_u15619, _u15618, _u15620)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_notin__set__remove1 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_notin__set__remove1-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15621), _u15622), hAPP(c_List_Oset(_u15621), _u15623))) | ~hBOOL(hAPP(hAPP(c_member(_u15621), _u15622), hAPP(c_List_Oset(_u15621), c_List_Oremove1(_u15621, _u15624, _u15623)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_remove1__idem ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_remove1__idem-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15625), _u15626), hAPP(c_List_Oset(_u15625), _u15627))) | ( c_List_Oremove1(_u15625, _u15626, _u15627) = _u15627) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sublist__empty ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sublist__empty-1, axiom, ( ( c_List_Osublist(_u15628, _u15629, c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) = c_List_Olist_ONil(_u15628)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__remove1__subset ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__remove1__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15630, tc_HOL_Obool)), hAPP(c_List_Oset(_u15630), c_List_Oremove1(_u15630, _u15631, _u15632))), hAPP(c_List_Oset(_u15630), _u15632))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_length__greater__0__conv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_length__greater__0__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15635)), _u15637))) | ( _u15637 != c_List_Olist_ONil(_u15635)) )).
% 19.51/19.73 cnf(fact_length__greater__0__conv-2, axiom, ( ( _u15638 = c_List_Olist_ONil(_u15636)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15636)), _u15638))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_take__1__Cons ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_take__1__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15639), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u15639), _u15640), _u15641)) = hAPP(hAPP(c_List_Olist_OCons(_u15639), _u15640), c_List_Olist_ONil(_u15639))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_not__Nil__listrel1 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_not__Nil__listrel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15642), tc_List_Olist(_u15642))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15642), tc_List_Olist(_u15642)), c_List_Olist_ONil(_u15642)), _u15643)), c_List_Olistrel1(_u15642, _u15644))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_not__listrel1__Nil ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_not__listrel1__Nil-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15645), tc_List_Olist(_u15645))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15645), tc_List_Olist(_u15645)), _u15646), c_List_Olist_ONil(_u15645))), c_List_Olistrel1(_u15645, _u15647))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listrel_ONil ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listrel_ONil-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15648), tc_List_Olist(_u15648))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15648), tc_List_Olist(_u15648)), c_List_Olist_ONil(_u15648)), c_List_Olist_ONil(_u15648))), c_List_Olistrel(_u15648, _u15649))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_lexord__Nil__right ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_lexord__Nil__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15650), tc_List_Olist(_u15650))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15650), tc_List_Olist(_u15650)), _u15651), c_List_Olist_ONil(_u15650))), c_List_Olexord(_u15650, _u15652))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_Nil__notin__lex ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_Nil__notin__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15653), tc_List_Olist(_u15653))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15653), tc_List_Olist(_u15653)), c_List_Olist_ONil(_u15653)), _u15654)), c_List_Olex(_u15653, _u15655))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_Nil2__notin__lex ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_Nil2__notin__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15656), tc_List_Olist(_u15656))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15656), tc_List_Olist(_u15656)), _u15657), c_List_Olist_ONil(_u15656))), c_List_Olex(_u15656, _u15658))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_take__Cons ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_take__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15659), _u15660), hAPP(hAPP(c_List_Olist_OCons(_u15659), _u15661), _u15662)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u15659), c_List_Olist_ONil(_u15659), hAPP(hAPP(c_COMBB(tc_List_Olist(_u15659), tc_List_Olist(_u15659), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u15659), _u15661)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u15659), tc_List_Olist(_u15659)), c_List_Otake(_u15659)), _u15662)), _u15660)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_upto_Osimps ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_upto_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u15665), _u15667)) | ( c_List_Oupto(_u15665, _u15667) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u15665), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15665), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u15667))) )).
% 19.51/19.73 cnf(fact_upto_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u15666), _u15668)) | ( c_List_Oupto(_u15666, _u15668) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sublist__singleton ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sublist__singleton-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15672)) | ( c_List_Osublist(_u15674, hAPP(hAPP(c_List_Olist_OCons(_u15674), _u15676), c_List_Olist_ONil(_u15674)), _u15672) = hAPP(hAPP(c_List_Olist_OCons(_u15674), _u15676), c_List_Olist_ONil(_u15674))) )).
% 19.51/19.73 cnf(fact_sublist__singleton-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15673)) | ( c_List_Osublist(_u15675, hAPP(hAPP(c_List_Olist_OCons(_u15675), _u15677), c_List_Olist_ONil(_u15675)), _u15673) = c_List_Olist_ONil(_u15675)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_lists__empty ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_lists__empty-1, axiom, ( ( c_List_Olists(_u15678, c_Orderings_Obot__class_Obot(tc_fun(_u15678, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15678)), c_List_Olist_ONil(_u15678)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15678), tc_HOL_Obool)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_take__Cons_H ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_take__Cons_H-1, axiom, ( ( _u15683 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u15685), _u15683), hAPP(hAPP(c_List_Olist_OCons(_u15685), _u15687), _u15689)) = c_List_Olist_ONil(_u15685)) )).
% 19.51/19.73 cnf(fact_take__Cons_H-2, axiom, ( ( _u15684 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u15686), _u15684), hAPP(hAPP(c_List_Olist_OCons(_u15686), _u15688), _u15690)) = hAPP(hAPP(c_List_Olist_OCons(_u15686), _u15688), hAPP(hAPP(c_List_Otake(_u15686), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15684), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15690))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_upto__rec__number__of ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_upto__rec__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15693)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15695))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15693), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15695)) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15693)), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15693)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15695)))) )).
% 19.51/19.73 cnf(fact_upto__rec__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15694)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15696))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15694), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15696)) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listrel__Nil ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listrel__Nil-1, axiom, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u15697), tc_List_Olist(_u15697), c_List_Olistrel(_u15697, _u15698)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15697)), c_List_Olist_ONil(_u15697)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15697), tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15697)), c_List_Olist_ONil(_u15697)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15697), tc_HOL_Obool)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__Cons__sing__Nil ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__Cons__sing__Nil-1, axiom, ( ( c_List_Oset__Cons(_u15699, _u15700, hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15699)), c_List_Olist_ONil(_u15699)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15699), tc_HOL_Obool)))) = hAPP(c_Set_Oimage(_u15699, tc_List_Olist(_u15699), hAPP(hAPP(c_COMBC(_u15699, tc_List_Olist(_u15699), tc_List_Olist(_u15699)), c_List_Olist_OCons(_u15699)), c_List_Olist_ONil(_u15699))), _u15700)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_length__remove1 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_length__remove1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15704), _u15706), hAPP(c_List_Oset(_u15704), _u15708))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15704)), c_List_Oremove1(_u15704, _u15706, _u15708)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15704)), _u15708)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 19.51/19.73 cnf(fact_length__remove1-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15705), _u15707), hAPP(c_List_Oset(_u15705), _u15709))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15705)), c_List_Oremove1(_u15705, _u15707, _u15709)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15705)), _u15709)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_upto_Opsimps ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_upto_Opsimps-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_List_Oupto__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u15710), _u15711))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u15710), _u15711)) | ( c_List_Oupto(_u15710, _u15711) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u15710), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15710), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u15711))) )).
% 19.51/19.73 cnf(fact_upto_Opsimps-2, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_List_Oupto__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u15710), _u15711))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u15710), _u15711)) | ( c_List_Oupto(_u15710, _u15711) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_select ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_select-1, axiom, ( ( _u15712 = c_List_Olist_ONil(_u15713)) | hBOOL(hAPP(hAPP(c_member(_u15713), hAPP(c_Product__Type_Ofst(_u15713, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect(_u15713, _u15712), _u15714))), hAPP(c_List_Oset(_u15713), _u15712))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listset_Osimps_I1_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listset_Osimps_I1_J-1, axiom, ( ( c_List_Olistset(_u15715, c_List_Olist_ONil(tc_fun(_u15715, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15715)), c_List_Olist_ONil(_u15715)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15715), tc_HOL_Obool)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_zip__Cons1 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_zip__Cons1-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u15716, _u15717), hAPP(hAPP(c_List_Olist_OCons(_u15716), _u15718), _u15719)), _u15720) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u15716, _u15717)), _u15717, c_List_Olist_ONil(tc_prod(_u15716, _u15717)), hAPP(hAPP(c_COMBC(_u15717, tc_fun(tc_List_Olist(_u15717), tc_List_Olist(tc_prod(_u15716, _u15717))), tc_fun(tc_List_Olist(_u15717), tc_List_Olist(tc_prod(_u15716, _u15717)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u15716, _u15717)), tc_List_Olist(tc_prod(_u15716, _u15717))), tc_fun(tc_fun(tc_List_Olist(_u15717), tc_List_Olist(tc_prod(_u15716, _u15717))), tc_fun(tc_List_Olist(_u15717), tc_List_Olist(tc_prod(_u15716, _u15717)))), _u15717), c_COMBB(tc_List_Olist(tc_prod(_u15716, _u15717)), tc_List_Olist(tc_prod(_u15716, _u15717)), tc_List_Olist(_u15717))), hAPP(hAPP(c_COMBB(tc_prod(_u15716, _u15717), tc_fun(tc_List_Olist(tc_prod(_u15716, _u15717)), tc_List_Olist(tc_prod(_u15716, _u15717))), _u15717), c_List_Olist_OCons(tc_prod(_u15716, _u15717))), hAPP(c_Product__Type_OPair(_u15716, _u15717), _u15718)))), hAPP(c_List_Ozip(_u15716, _u15717), _u15719))), _u15720)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list_Osimps_I5_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list_Osimps_I5_J-1, axiom, ( ( hAPP(c_List_Olist_Olist__case(_u15721, _u15722, _u15723, _u15724), hAPP(hAPP(c_List_Olist_OCons(_u15722), _u15725), _u15726)) = hAPP(hAPP(_u15724, _u15725), _u15726)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list_Osimps_I4_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list_Osimps_I4_J-1, axiom, ( ( hAPP(c_List_Olist_Olist__case(_u15727, _u15728, _u15729, _u15730), c_List_Olist_ONil(_u15728)) = _u15729) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listset_Osimps_I2_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listset_Osimps_I2_J-1, axiom, ( ( c_List_Olistset(_u15731, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u15731, tc_HOL_Obool)), _u15732), _u15733)) = c_List_Oset__Cons(_u15731, _u15732, c_List_Olistset(_u15731, _u15733))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_zip__Cons ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_zip__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u15734, _u15735), _u15736), hAPP(hAPP(c_List_Olist_OCons(_u15735), _u15737), _u15738)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u15734, _u15735)), _u15734, c_List_Olist_ONil(tc_prod(_u15734, _u15735)), hAPP(hAPP(c_COMBC(_u15734, tc_fun(tc_List_Olist(_u15734), tc_List_Olist(tc_prod(_u15734, _u15735))), tc_fun(tc_List_Olist(_u15734), tc_List_Olist(tc_prod(_u15734, _u15735)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u15734, _u15735)), tc_List_Olist(tc_prod(_u15734, _u15735))), tc_fun(tc_fun(tc_List_Olist(_u15734), tc_List_Olist(tc_prod(_u15734, _u15735))), tc_fun(tc_List_Olist(_u15734), tc_List_Olist(tc_prod(_u15734, _u15735)))), _u15734), c_COMBB(tc_List_Olist(tc_prod(_u15734, _u15735)), tc_List_Olist(tc_prod(_u15734, _u15735)), tc_List_Olist(_u15734))), hAPP(hAPP(c_COMBB(tc_prod(_u15734, _u15735), tc_fun(tc_List_Olist(tc_prod(_u15734, _u15735)), tc_List_Olist(tc_prod(_u15734, _u15735))), _u15734), c_List_Olist_OCons(tc_prod(_u15734, _u15735))), hAPP(hAPP(c_COMBC(_u15734, _u15735, tc_prod(_u15734, _u15735)), c_Product__Type_OPair(_u15734, _u15735)), _u15737)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15734), tc_List_Olist(_u15735), tc_List_Olist(tc_prod(_u15734, _u15735))), c_List_Ozip(_u15734, _u15735)), _u15738))), _u15736)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__list__of__set__remove ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__list__of__set__remove-1, axiom, ( ~class_Orderings_Olinorder(_u15739) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15739), _u15740)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u15739, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15739, tc_HOL_Obool)), _u15740), hAPP(hAPP(c_Set_Oinsert(_u15739), _u15741), c_Orderings_Obot__class_Obot(tc_fun(_u15739, tc_HOL_Obool))))) = c_List_Oremove1(_u15739, _u15741, c_List_Olinorder__class_Osorted__list__of__set(_u15739, _u15740))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_upto_Opinduct ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_upto_Opinduct-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_List_Oupto__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u15744), _u15745))) | hBOOL(hAPP(hAPP(_u15746, _u15744), _u15745)) | hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_List_Oupto__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), skolem411(_u15746, _u15745, _u15744)), skolem412(_u15746, _u15745, _u15744)))) )).
% 19.51/19.73 cnf(fact_upto_Opinduct-2, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_List_Oupto__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u15744), _u15745))) | hBOOL(hAPP(hAPP(_u15746, _u15744), _u15745)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem411(_u15746, _u15745, _u15744)), skolem412(_u15746, _u15745, _u15744))) | hBOOL(hAPP(hAPP(_u15746, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem411(_u15746, _u15745, _u15744)), c_Groups_Oone__class_Oone(tc_Int_Oint))), skolem412(_u15746, _u15745, _u15744))) )).
% 19.51/19.73 cnf(fact_upto_Opinduct-3, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_List_Oupto__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u15744), _u15745))) | hBOOL(hAPP(hAPP(_u15746, _u15744), _u15745)) | ~hBOOL(hAPP(hAPP(_u15746, skolem411(_u15746, _u15745, _u15744)), skolem412(_u15746, _u15745, _u15744))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__list__of__set__empty ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__list__of__set__empty-1, axiom, ( ~class_Orderings_Olinorder(_u15747) | ( c_List_Olinorder__class_Osorted__list__of__set(_u15747, c_Orderings_Obot__class_Obot(tc_fun(_u15747, tc_HOL_Obool))) = c_List_Olist_ONil(_u15747)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_anamorph_Osimps ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_anamorph_Osimps-1, axiom, ( ( _u15753 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(hAPP(c_Lazy__Sequence_Oanamorph(_u15755, _u15757, _u15759), _u15753), _u15761) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15757), _u15755), c_List_Olist_ONil(_u15757)), _u15761)) )).
% 19.51/19.73 cnf(fact_anamorph_Osimps-2, axiom, ( ( _u15754 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(hAPP(c_Lazy__Sequence_Oanamorph(_u15756, _u15758, _u15760), _u15754), _u15762) = c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(_u15758), _u15756), tc_prod(_u15758, _u15756), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15758), _u15756), c_List_Olist_ONil(_u15758)), _u15762), hAPP(c_Product__Type_Oprod_Oprod__case(_u15758, _u15756, tc_prod(tc_List_Olist(_u15758), _u15756)), hAPP(hAPP(c_COMBC(_u15758, tc_fun(_u15756, tc_prod(tc_List_Olist(_u15758), _u15756)), tc_fun(_u15756, tc_prod(tc_List_Olist(_u15758), _u15756))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(_u15758), _u15756), tc_prod(tc_List_Olist(_u15758), _u15756)), tc_fun(tc_fun(_u15756, tc_prod(tc_List_Olist(_u15758), _u15756)), tc_fun(_u15756, tc_prod(tc_List_Olist(_u15758), _u15756))), _u15758), c_COMBB(tc_prod(tc_List_Olist(_u15758), _u15756), tc_prod(tc_List_Olist(_u15758), _u15756), _u15756)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15758), tc_fun(_u15756, tc_prod(tc_List_Olist(_u15758), _u15756))), tc_fun(tc_prod(tc_List_Olist(_u15758), _u15756), tc_prod(tc_List_Olist(_u15758), _u15756)), _u15758), c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u15758), _u15756, tc_prod(tc_List_Olist(_u15758), _u15756))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15758), tc_List_Olist(_u15758)), tc_fun(tc_List_Olist(_u15758), tc_fun(_u15756, tc_prod(tc_List_Olist(_u15758), _u15756))), _u15758), hAPP(c_COMBB(tc_List_Olist(_u15758), tc_fun(_u15756, tc_prod(tc_List_Olist(_u15758), _u15756)), tc_List_Olist(_u15758)), c_Product__Type_OPair(tc_List_Olist(_u15758), _u15756))), c_List_Olist_OCons(_u15758))))), hAPP(c_Lazy__Sequence_Oanamorph(_u15756, _u15758, _u15760), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u15754), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))))), hAPP(_u15760, _u15762))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sublist__Cons ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sublist__Cons-1, axiom, ( ( c_List_Osublist(_u15763, hAPP(hAPP(c_List_Olist_OCons(_u15763), _u15764), _u15765), _u15766) = hAPP(hAPP(c_List_Oappend(_u15763), hAPP(hAPP(hAPP(c_If(tc_List_Olist(_u15763)), hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15766)), hAPP(hAPP(c_List_Olist_OCons(_u15763), _u15764), c_List_Olist_ONil(_u15763))), c_List_Olist_ONil(_u15763))), c_List_Osublist(_u15763, _u15765, hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), tc_Nat_Onat), c_member(tc_Nat_Onat)), c_Nat_OSuc)), _u15766))))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_append1__eq__conv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_append1__eq__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u15772), _u15774), hAPP(hAPP(c_List_Olist_OCons(_u15772), _u15776), c_List_Olist_ONil(_u15772))) != hAPP(hAPP(c_List_Oappend(_u15772), _u15778), hAPP(hAPP(c_List_Olist_OCons(_u15772), _u15780), c_List_Olist_ONil(_u15772)))) | ( _u15774 = _u15778) )).
% 19.51/19.73 cnf(fact_append1__eq__conv-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u15772), _u15774), hAPP(hAPP(c_List_Olist_OCons(_u15772), _u15776), c_List_Olist_ONil(_u15772))) != hAPP(hAPP(c_List_Oappend(_u15772), _u15778), hAPP(hAPP(c_List_Olist_OCons(_u15772), _u15780), c_List_Olist_ONil(_u15772)))) | ( _u15776 = _u15780) )).
% 19.51/19.73 cnf(fact_append1__eq__conv-3, axiom, ( ( _u15775 != _u15779) | ( _u15777 != _u15781) | ( hAPP(hAPP(c_List_Oappend(_u15773), _u15775), hAPP(hAPP(c_List_Olist_OCons(_u15773), _u15777), c_List_Olist_ONil(_u15773))) = hAPP(hAPP(c_List_Oappend(_u15773), _u15779), hAPP(hAPP(c_List_Olist_OCons(_u15773), _u15781), c_List_Olist_ONil(_u15773)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_Cons__eq__append__conv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_Cons__eq__append__conv-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15789), _u15791), _u15793) != hAPP(hAPP(c_List_Oappend(_u15789), _u15795), _u15797)) | ( _u15795 = c_List_Olist_ONil(_u15789)) | ( hAPP(hAPP(c_List_Olist_OCons(_u15789), _u15791), skolem413(_u15797, _u15795, _u15793, _u15791, _u15789)) = _u15795) )).
% 19.51/19.73 cnf(fact_Cons__eq__append__conv-2, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15789), _u15791), _u15793) != hAPP(hAPP(c_List_Oappend(_u15789), _u15795), _u15797)) | ( _u15795 = c_List_Olist_ONil(_u15789)) | ( _u15793 = hAPP(hAPP(c_List_Oappend(_u15789), skolem413(_u15797, _u15795, _u15793, _u15791, _u15789)), _u15797)) )).
% 19.51/19.73 cnf(fact_Cons__eq__append__conv-3, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15789), _u15791), _u15793) != hAPP(hAPP(c_List_Oappend(_u15789), _u15795), _u15797)) | ( hAPP(hAPP(c_List_Olist_OCons(_u15789), _u15791), _u15793) = _u15797) | ( hAPP(hAPP(c_List_Olist_OCons(_u15789), _u15791), skolem413(_u15797, _u15795, _u15793, _u15791, _u15789)) = _u15795) )).
% 19.51/19.73 cnf(fact_Cons__eq__append__conv-4, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15789), _u15791), _u15793) != hAPP(hAPP(c_List_Oappend(_u15789), _u15795), _u15797)) | ( hAPP(hAPP(c_List_Olist_OCons(_u15789), _u15791), _u15793) = _u15797) | ( _u15793 = hAPP(hAPP(c_List_Oappend(_u15789), skolem413(_u15797, _u15795, _u15793, _u15791, _u15789)), _u15797)) )).
% 19.51/19.73 cnf(fact_Cons__eq__append__conv-5, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15790), _u15792), _u15794) = hAPP(hAPP(c_List_Oappend(_u15790), _u15796), _u15798)) | ( _u15796 != c_List_Olist_ONil(_u15790)) | ( hAPP(hAPP(c_List_Olist_OCons(_u15790), _u15792), _u15794) != _u15798) )).
% 19.51/19.73 cnf(fact_Cons__eq__append__conv-6, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15790), _u15792), _u15794) = hAPP(hAPP(c_List_Oappend(_u15790), _u15796), _u15798)) | ( hAPP(hAPP(c_List_Olist_OCons(_u15790), _u15792), _u15783) != _u15796) | ( _u15794 != hAPP(hAPP(c_List_Oappend(_u15790), _u15783), _u15798)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_append__eq__Cons__conv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_append__eq__Cons__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u15806), _u15808), _u15810) != hAPP(hAPP(c_List_Olist_OCons(_u15806), _u15812), _u15814)) | ( _u15808 = c_List_Olist_ONil(_u15806)) | ( _u15808 = hAPP(hAPP(c_List_Olist_OCons(_u15806), _u15812), skolem414(_u15814, _u15812, _u15810, _u15808, _u15806))) )).
% 19.51/19.73 cnf(fact_append__eq__Cons__conv-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u15806), _u15808), _u15810) != hAPP(hAPP(c_List_Olist_OCons(_u15806), _u15812), _u15814)) | ( _u15808 = c_List_Olist_ONil(_u15806)) | ( hAPP(hAPP(c_List_Oappend(_u15806), skolem414(_u15814, _u15812, _u15810, _u15808, _u15806)), _u15810) = _u15814) )).
% 19.51/19.73 cnf(fact_append__eq__Cons__conv-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u15806), _u15808), _u15810) != hAPP(hAPP(c_List_Olist_OCons(_u15806), _u15812), _u15814)) | ( _u15810 = hAPP(hAPP(c_List_Olist_OCons(_u15806), _u15812), _u15814)) | ( _u15808 = hAPP(hAPP(c_List_Olist_OCons(_u15806), _u15812), skolem414(_u15814, _u15812, _u15810, _u15808, _u15806))) )).
% 19.51/19.73 cnf(fact_append__eq__Cons__conv-4, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u15806), _u15808), _u15810) != hAPP(hAPP(c_List_Olist_OCons(_u15806), _u15812), _u15814)) | ( _u15810 = hAPP(hAPP(c_List_Olist_OCons(_u15806), _u15812), _u15814)) | ( hAPP(hAPP(c_List_Oappend(_u15806), skolem414(_u15814, _u15812, _u15810, _u15808, _u15806)), _u15810) = _u15814) )).
% 19.51/19.73 cnf(fact_append__eq__Cons__conv-5, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u15807), _u15809), _u15811) = hAPP(hAPP(c_List_Olist_OCons(_u15807), _u15813), _u15815)) | ( _u15809 != c_List_Olist_ONil(_u15807)) | ( _u15811 != hAPP(hAPP(c_List_Olist_OCons(_u15807), _u15813), _u15815)) )).
% 19.51/19.73 cnf(fact_append__eq__Cons__conv-6, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u15807), _u15809), _u15811) = hAPP(hAPP(c_List_Olist_OCons(_u15807), _u15813), _u15815)) | ( _u15809 != hAPP(hAPP(c_List_Olist_OCons(_u15807), _u15813), _u15800)) | ( hAPP(hAPP(c_List_Oappend(_u15807), _u15800), _u15811) != _u15815) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_Cons__eq__appendI ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_Cons__eq__appendI-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15816), _u15817), _u15818) != _u15819) | ( _u15820 != hAPP(hAPP(c_List_Oappend(_u15816), _u15818), _u15821)) | ( hAPP(hAPP(c_List_Olist_OCons(_u15816), _u15817), _u15820) = hAPP(hAPP(c_List_Oappend(_u15816), _u15819), _u15821)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_append__Cons ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_append__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u15822), hAPP(hAPP(c_List_Olist_OCons(_u15822), _u15823), _u15824)), _u15825) = hAPP(hAPP(c_List_Olist_OCons(_u15822), _u15823), hAPP(hAPP(c_List_Oappend(_u15822), _u15824), _u15825))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_append__in__lists__conv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_append__in__lists__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15830)), hAPP(hAPP(c_List_Oappend(_u15830), _u15832), _u15834)), c_List_Olists(_u15830, _u15836))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15830)), _u15832), c_List_Olists(_u15830, _u15836))) )).
% 19.51/19.73 cnf(fact_append__in__lists__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15830)), hAPP(hAPP(c_List_Oappend(_u15830), _u15832), _u15834)), c_List_Olists(_u15830, _u15836))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15830)), _u15834), c_List_Olists(_u15830, _u15836))) )).
% 19.51/19.73 cnf(fact_append__in__lists__conv-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15831)), _u15833), c_List_Olists(_u15831, _u15837))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15831)), _u15835), c_List_Olists(_u15831, _u15837))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15831)), hAPP(hAPP(c_List_Oappend(_u15831), _u15833), _u15835)), c_List_Olists(_u15831, _u15837))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_append__assoc ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_append__assoc-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u15838), hAPP(hAPP(c_List_Oappend(_u15838), _u15839), _u15840)), _u15841) = hAPP(hAPP(c_List_Oappend(_u15838), _u15839), hAPP(hAPP(c_List_Oappend(_u15838), _u15840), _u15841))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_append__eq__append__conv2 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_append__eq__append__conv2-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u15853), _u15855), _u15857) != hAPP(hAPP(c_List_Oappend(_u15853), _u15859), _u15861)) | ( _u15855 = hAPP(hAPP(c_List_Oappend(_u15853), _u15859), skolem415(_u15861, _u15859, _u15857, _u15855, _u15853))) | ( hAPP(hAPP(c_List_Oappend(_u15853), _u15855), skolem416(_u15861, _u15859, _u15857, _u15855, _u15853)) = _u15859) )).
% 19.51/19.73 cnf(fact_append__eq__append__conv2-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u15853), _u15855), _u15857) != hAPP(hAPP(c_List_Oappend(_u15853), _u15859), _u15861)) | ( _u15855 = hAPP(hAPP(c_List_Oappend(_u15853), _u15859), skolem415(_u15861, _u15859, _u15857, _u15855, _u15853))) | ( _u15857 = hAPP(hAPP(c_List_Oappend(_u15853), skolem416(_u15861, _u15859, _u15857, _u15855, _u15853)), _u15861)) )).
% 19.51/19.73 cnf(fact_append__eq__append__conv2-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u15853), _u15855), _u15857) != hAPP(hAPP(c_List_Oappend(_u15853), _u15859), _u15861)) | ( hAPP(hAPP(c_List_Oappend(_u15853), skolem415(_u15861, _u15859, _u15857, _u15855, _u15853)), _u15857) = _u15861) | ( hAPP(hAPP(c_List_Oappend(_u15853), _u15855), skolem416(_u15861, _u15859, _u15857, _u15855, _u15853)) = _u15859) )).
% 19.51/19.73 cnf(fact_append__eq__append__conv2-4, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u15853), _u15855), _u15857) != hAPP(hAPP(c_List_Oappend(_u15853), _u15859), _u15861)) | ( hAPP(hAPP(c_List_Oappend(_u15853), skolem415(_u15861, _u15859, _u15857, _u15855, _u15853)), _u15857) = _u15861) | ( _u15857 = hAPP(hAPP(c_List_Oappend(_u15853), skolem416(_u15861, _u15859, _u15857, _u15855, _u15853)), _u15861)) )).
% 19.51/19.73 cnf(fact_append__eq__append__conv2-5, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u15854), _u15856), _u15858) = hAPP(hAPP(c_List_Oappend(_u15854), _u15860), _u15862)) | ( _u15856 != hAPP(hAPP(c_List_Oappend(_u15854), _u15860), _u15851)) | ( hAPP(hAPP(c_List_Oappend(_u15854), _u15851), _u15858) != _u15862) )).
% 19.51/19.73 cnf(fact_append__eq__append__conv2-6, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u15854), _u15856), _u15858) = hAPP(hAPP(c_List_Oappend(_u15854), _u15860), _u15862)) | ( hAPP(hAPP(c_List_Oappend(_u15854), _u15856), _u15852) != _u15860) | ( _u15858 != hAPP(hAPP(c_List_Oappend(_u15854), _u15852), _u15862)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_same__append__eq ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_same__append__eq-1, axiom, ( ( _u15871 = _u15873) | ( hAPP(hAPP(c_List_Oappend(_u15867), _u15869), _u15871) != hAPP(hAPP(c_List_Oappend(_u15867), _u15869), _u15873)) )).
% 19.51/19.73 cnf(fact_same__append__eq-2, axiom, ( ( _u15872 != _u15874) | ( hAPP(hAPP(c_List_Oappend(_u15868), _u15870), _u15872) = hAPP(hAPP(c_List_Oappend(_u15868), _u15870), _u15874)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_append__same__eq ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_append__same__eq-1, axiom, ( ( _u15881 = _u15885) | ( hAPP(hAPP(c_List_Oappend(_u15879), _u15881), _u15883) != hAPP(hAPP(c_List_Oappend(_u15879), _u15885), _u15883)) )).
% 19.51/19.73 cnf(fact_append__same__eq-2, axiom, ( ( _u15882 != _u15886) | ( hAPP(hAPP(c_List_Oappend(_u15880), _u15882), _u15884) = hAPP(hAPP(c_List_Oappend(_u15880), _u15886), _u15884)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_append__eq__appendI ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_append__eq__appendI-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u15887), _u15888), _u15889) != _u15890) | ( _u15891 != hAPP(hAPP(c_List_Oappend(_u15887), _u15889), _u15892)) | ( hAPP(hAPP(c_List_Oappend(_u15887), _u15888), _u15891) = hAPP(hAPP(c_List_Oappend(_u15887), _u15890), _u15892)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listsum__append ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listsum__append-1, axiom, ( ~class_Groups_Omonoid__add(_u15893) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15893), hAPP(hAPP(c_List_Oappend(_u15893), _u15894), _u15895)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15893), hAPP(c_List_Omonoid__add__class_Olistsum(_u15893), _u15894)), hAPP(c_List_Omonoid__add__class_Olistsum(_u15893), _u15895))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_length__append ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_length__append-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15896)), hAPP(hAPP(c_List_Oappend(_u15896), _u15897), _u15898)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15896)), _u15897)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15896)), _u15898))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_zip__append ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_zip__append-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15899)), _u15900) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15901)), _u15902)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15899)), _u15903) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15901)), _u15904)) | ( hAPP(hAPP(c_List_Ozip(_u15899, _u15901), hAPP(hAPP(c_List_Oappend(_u15899), _u15900), _u15903)), hAPP(hAPP(c_List_Oappend(_u15901), _u15902), _u15904)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u15899, _u15901)), hAPP(hAPP(c_List_Ozip(_u15899, _u15901), _u15900), _u15902)), hAPP(hAPP(c_List_Ozip(_u15899, _u15901), _u15903), _u15904))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__append ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__append-1, axiom, ( ( hAPP(c_List_Oset(_u15905), hAPP(hAPP(c_List_Oappend(_u15905), _u15906), _u15907)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15905, tc_HOL_Obool)), hAPP(c_List_Oset(_u15905), _u15906)), hAPP(c_List_Oset(_u15905), _u15907))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_eq__Nil__appendI ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_eq__Nil__appendI-1, axiom, ( ( _u15908 != _u15909) | ( _u15908 = hAPP(hAPP(c_List_Oappend(_u15910), c_List_Olist_ONil(_u15910)), _u15909)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_append__self__conv2 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_append__self__conv2-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u15914), _u15916), _u15918) != _u15918) | ( _u15916 = c_List_Olist_ONil(_u15914)) )).
% 19.51/19.73 cnf(fact_append__self__conv2-2, axiom, ( ( _u15917 != c_List_Olist_ONil(_u15915)) | ( hAPP(hAPP(c_List_Oappend(_u15915), _u15917), _u15919) = _u15919) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_append__self__conv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_append__self__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u15923), _u15925), _u15927) != _u15925) | ( _u15927 = c_List_Olist_ONil(_u15923)) )).
% 19.51/19.73 cnf(fact_append__self__conv-2, axiom, ( ( _u15928 != c_List_Olist_ONil(_u15924)) | ( hAPP(hAPP(c_List_Oappend(_u15924), _u15926), _u15928) = _u15926) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_append__is__Nil__conv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_append__is__Nil__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u15932), _u15934), _u15936) != c_List_Olist_ONil(_u15932)) | ( _u15934 = c_List_Olist_ONil(_u15932)) )).
% 19.51/19.73 cnf(fact_append__is__Nil__conv-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u15932), _u15934), _u15936) != c_List_Olist_ONil(_u15932)) | ( _u15936 = c_List_Olist_ONil(_u15932)) )).
% 19.51/19.73 cnf(fact_append__is__Nil__conv-3, axiom, ( ( _u15935 != c_List_Olist_ONil(_u15933)) | ( _u15937 != c_List_Olist_ONil(_u15933)) | ( hAPP(hAPP(c_List_Oappend(_u15933), _u15935), _u15937) = c_List_Olist_ONil(_u15933)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_self__append__conv2 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_self__append__conv2-1, axiom, ( ( _u15945 = c_List_Olist_ONil(_u15943)) | ( _u15941 != hAPP(hAPP(c_List_Oappend(_u15943), _u15945), _u15941)) )).
% 19.51/19.73 cnf(fact_self__append__conv2-2, axiom, ( ( _u15946 != c_List_Olist_ONil(_u15944)) | ( _u15942 = hAPP(hAPP(c_List_Oappend(_u15944), _u15946), _u15942)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_self__append__conv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_self__append__conv-1, axiom, ( ( _u15954 = c_List_Olist_ONil(_u15952)) | ( _u15950 != hAPP(hAPP(c_List_Oappend(_u15952), _u15950), _u15954)) )).
% 19.51/19.73 cnf(fact_self__append__conv-2, axiom, ( ( _u15955 != c_List_Olist_ONil(_u15953)) | ( _u15951 = hAPP(hAPP(c_List_Oappend(_u15953), _u15951), _u15955)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_append__Nil2 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_append__Nil2-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u15956), _u15957), c_List_Olist_ONil(_u15956)) = _u15957) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_Nil__is__append__conv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_Nil__is__append__conv-1, axiom, ( ( c_List_Olist_ONil(_u15961) != hAPP(hAPP(c_List_Oappend(_u15961), _u15963), _u15965)) | ( _u15963 = c_List_Olist_ONil(_u15961)) )).
% 19.51/19.73 cnf(fact_Nil__is__append__conv-2, axiom, ( ( c_List_Olist_ONil(_u15961) != hAPP(hAPP(c_List_Oappend(_u15961), _u15963), _u15965)) | ( _u15965 = c_List_Olist_ONil(_u15961)) )).
% 19.51/19.73 cnf(fact_Nil__is__append__conv-3, axiom, ( ( _u15964 != c_List_Olist_ONil(_u15962)) | ( _u15966 != c_List_Olist_ONil(_u15962)) | ( c_List_Olist_ONil(_u15962) = hAPP(hAPP(c_List_Oappend(_u15962), _u15964), _u15966)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_append__Nil ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_append__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u15967), c_List_Olist_ONil(_u15967)), _u15968) = _u15968) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_butlast__append ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_butlast__append-1, axiom, ( ( _u15972 != c_List_Olist_ONil(_u15974)) | ( c_List_Obutlast(_u15974, hAPP(hAPP(c_List_Oappend(_u15974), _u15976), _u15972)) = c_List_Obutlast(_u15974, _u15976)) )).
% 19.51/19.73 cnf(fact_butlast__append-2, axiom, ( ( _u15973 = c_List_Olist_ONil(_u15975)) | ( c_List_Obutlast(_u15975, hAPP(hAPP(c_List_Oappend(_u15975), _u15977), _u15973)) = hAPP(hAPP(c_List_Oappend(_u15975), _u15977), c_List_Obutlast(_u15975, _u15973))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_nth__append__length ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_nth__append__length-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u15978), hAPP(hAPP(c_List_Oappend(_u15978), _u15979), hAPP(hAPP(c_List_Olist_OCons(_u15978), _u15980), _u15981))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15978)), _u15979)) = _u15980) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_nth__append__length__plus ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_nth__append__length__plus-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u15982), hAPP(hAPP(c_List_Oappend(_u15982), _u15983), _u15984)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15982)), _u15983)), _u15985)) = hAPP(hAPP(c_List_Onth(_u15982), _u15984), _u15985)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_take__append ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_take__append-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15986), _u15987), hAPP(hAPP(c_List_Oappend(_u15986), _u15988), _u15989)) = hAPP(hAPP(c_List_Oappend(_u15986), hAPP(hAPP(c_List_Otake(_u15986), _u15987), _u15988)), hAPP(hAPP(c_List_Otake(_u15986), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15987), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15986)), _u15988))), _u15989))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__update__append1 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__update__append1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15990), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15991)), _u15992))) | ( hAPP(hAPP(c_List_Olist__update(_u15991, hAPP(hAPP(c_List_Oappend(_u15991), _u15992), _u15993)), _u15990), _u15994) = hAPP(hAPP(c_List_Oappend(_u15991), hAPP(hAPP(c_List_Olist__update(_u15991, _u15992), _u15990), _u15994)), _u15993)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__update__length ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__update__length-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u15995, hAPP(hAPP(c_List_Oappend(_u15995), _u15996), hAPP(hAPP(c_List_Olist_OCons(_u15995), _u15997), _u15998))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15995)), _u15996)), _u15999) = hAPP(hAPP(c_List_Oappend(_u15995), _u15996), hAPP(hAPP(c_List_Olist_OCons(_u15995), _u15999), _u15998))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_remove1__append ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_remove1__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16004), _u16006), hAPP(c_List_Oset(_u16004), _u16008))) | ( c_List_Oremove1(_u16004, _u16006, hAPP(hAPP(c_List_Oappend(_u16004), _u16008), _u16010)) = hAPP(hAPP(c_List_Oappend(_u16004), c_List_Oremove1(_u16004, _u16006, _u16008)), _u16010)) )).
% 19.51/19.73 cnf(fact_remove1__append-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16005), _u16007), hAPP(c_List_Oset(_u16005), _u16009))) | ( c_List_Oremove1(_u16005, _u16007, hAPP(hAPP(c_List_Oappend(_u16005), _u16009), _u16011)) = hAPP(hAPP(c_List_Oappend(_u16005), _u16009), c_List_Oremove1(_u16005, _u16007, _u16011))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_in__set__butlast__appendI ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_in__set__butlast__appendI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16012), _u16013), hAPP(c_List_Oset(_u16012), c_List_Obutlast(_u16012, hAPP(hAPP(c_List_Oappend(_u16012), _u16014), _u16015))))) | ~hBOOL(hAPP(hAPP(c_member(_u16012), _u16013), hAPP(c_List_Oset(_u16012), c_List_Obutlast(_u16012, _u16014)))) )).
% 19.51/19.73 cnf(fact_in__set__butlast__appendI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16012), _u16013), hAPP(c_List_Oset(_u16012), c_List_Obutlast(_u16012, hAPP(hAPP(c_List_Oappend(_u16012), _u16014), _u16015))))) | ~hBOOL(hAPP(hAPP(c_member(_u16012), _u16013), hAPP(c_List_Oset(_u16012), c_List_Obutlast(_u16012, _u16015)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_butlast__snoc ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_butlast__snoc-1, axiom, ( ( c_List_Obutlast(_u16016, hAPP(hAPP(c_List_Oappend(_u16016), _u16017), hAPP(hAPP(c_List_Olist_OCons(_u16016), _u16018), c_List_Olist_ONil(_u16016)))) = _u16017) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_append__listrel1I ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_append__listrel1I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16019), tc_List_Olist(_u16019))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16019), tc_List_Olist(_u16019)), hAPP(hAPP(c_List_Oappend(_u16019), _u16020), _u16023)), hAPP(hAPP(c_List_Oappend(_u16019), _u16021), _u16024))), c_List_Olistrel1(_u16019, _u16022))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16019), tc_List_Olist(_u16019))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16019), tc_List_Olist(_u16019)), _u16020), _u16021)), c_List_Olistrel1(_u16019, _u16022))) | ( _u16023 != _u16024) )).
% 19.51/19.73 cnf(fact_append__listrel1I-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16019), tc_List_Olist(_u16019))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16019), tc_List_Olist(_u16019)), hAPP(hAPP(c_List_Oappend(_u16019), _u16020), _u16023)), hAPP(hAPP(c_List_Oappend(_u16019), _u16021), _u16024))), c_List_Olistrel1(_u16019, _u16022))) | ( _u16020 != _u16021) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16019), tc_List_Olist(_u16019))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16019), tc_List_Olist(_u16019)), _u16023), _u16024)), c_List_Olistrel1(_u16019, _u16022))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_lexord__append__leftI ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_lexord__append__leftI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16025), tc_List_Olist(_u16025))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16025), tc_List_Olist(_u16025)), _u16026), _u16027)), c_List_Olexord(_u16025, _u16028))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16025), tc_List_Olist(_u16025))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16025), tc_List_Olist(_u16025)), hAPP(hAPP(c_List_Oappend(_u16025), _u16029), _u16026)), hAPP(hAPP(c_List_Oappend(_u16025), _u16029), _u16027))), c_List_Olexord(_u16025, _u16028))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_distinct__append ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_distinct__append-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16033), hAPP(hAPP(c_List_Oappend(_u16033), _u16035), _u16037))) | hBOOL(hAPP(c_List_Odistinct(_u16033), _u16035)) )).
% 19.51/19.73 cnf(fact_distinct__append-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16033), hAPP(hAPP(c_List_Oappend(_u16033), _u16035), _u16037))) | hBOOL(hAPP(c_List_Odistinct(_u16033), _u16037)) )).
% 19.51/19.73 cnf(fact_distinct__append-3, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16033), hAPP(hAPP(c_List_Oappend(_u16033), _u16035), _u16037))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16033, tc_HOL_Obool)), hAPP(c_List_Oset(_u16033), _u16035)), hAPP(c_List_Oset(_u16033), _u16037)) = c_Orderings_Obot__class_Obot(tc_fun(_u16033, tc_HOL_Obool))) )).
% 19.51/19.73 cnf(fact_distinct__append-4, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16034), _u16036)) | ~hBOOL(hAPP(c_List_Odistinct(_u16034), _u16038)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16034, tc_HOL_Obool)), hAPP(c_List_Oset(_u16034), _u16036)), hAPP(c_List_Oset(_u16034), _u16038)) != c_Orderings_Obot__class_Obot(tc_fun(_u16034, tc_HOL_Obool))) | hBOOL(hAPP(c_List_Odistinct(_u16034), hAPP(hAPP(c_List_Oappend(_u16034), _u16036), _u16038))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_nth__append ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_nth__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16043), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16045)), _u16047))) | ( hAPP(hAPP(c_List_Onth(_u16045), hAPP(hAPP(c_List_Oappend(_u16045), _u16047), _u16049)), _u16043) = hAPP(hAPP(c_List_Onth(_u16045), _u16047), _u16043)) )).
% 19.51/19.73 cnf(fact_nth__append-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16044), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16046)), _u16048))) | ( hAPP(hAPP(c_List_Onth(_u16046), hAPP(hAPP(c_List_Oappend(_u16046), _u16048), _u16050)), _u16044) = hAPP(hAPP(c_List_Onth(_u16046), _u16050), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16044), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16046)), _u16048)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__update__append ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__update__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16056), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16058)), _u16060))) | ( hAPP(hAPP(c_List_Olist__update(_u16058, hAPP(hAPP(c_List_Oappend(_u16058), _u16060), _u16062)), _u16056), _u16064) = hAPP(hAPP(c_List_Oappend(_u16058), hAPP(hAPP(c_List_Olist__update(_u16058, _u16060), _u16056), _u16064)), _u16062)) )).
% 19.51/19.73 cnf(fact_list__update__append-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16057), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16059)), _u16061))) | ( hAPP(hAPP(c_List_Olist__update(_u16059, hAPP(hAPP(c_List_Oappend(_u16059), _u16061), _u16063)), _u16057), _u16065) = hAPP(hAPP(c_List_Oappend(_u16059), _u16061), hAPP(hAPP(c_List_Olist__update(_u16059, _u16063), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16057), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16059)), _u16061))), _u16065))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sublist__append ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sublist__append-1, axiom, ( ( c_List_Osublist(_u16066, hAPP(hAPP(c_List_Oappend(_u16066), _u16067), _u16068), _u16069) = hAPP(hAPP(c_List_Oappend(_u16066), c_List_Osublist(_u16066, _u16067, _u16069)), c_List_Osublist(_u16066, _u16068, hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), tc_Nat_Onat), c_member(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16066)), _u16067)))), _u16069))))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listrel1I ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listrel1I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16070, _u16070)), hAPP(hAPP(c_Product__Type_OPair(_u16070, _u16070), _u16071), _u16072)), _u16073)) | ( _u16074 != hAPP(hAPP(c_List_Oappend(_u16070), _u16075), hAPP(hAPP(c_List_Olist_OCons(_u16070), _u16071), _u16076))) | ( _u16077 != hAPP(hAPP(c_List_Oappend(_u16070), _u16075), hAPP(hAPP(c_List_Olist_OCons(_u16070), _u16072), _u16076))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16070), tc_List_Olist(_u16070))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16070), tc_List_Olist(_u16070)), _u16074), _u16077)), c_List_Olistrel1(_u16070, _u16073))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_lexord__append__left__rightI ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_lexord__append__left__rightI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16078, _u16078)), hAPP(hAPP(c_Product__Type_OPair(_u16078, _u16078), _u16079), _u16080)), _u16081)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16078), tc_List_Olist(_u16078))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16078), tc_List_Olist(_u16078)), hAPP(hAPP(c_List_Oappend(_u16078), _u16082), hAPP(hAPP(c_List_Olist_OCons(_u16078), _u16079), _u16083))), hAPP(hAPP(c_List_Oappend(_u16078), _u16082), hAPP(hAPP(c_List_Olist_OCons(_u16078), _u16080), _u16084)))), c_List_Olexord(_u16078, _u16081))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_take__Suc__conv__app__nth ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_take__Suc__conv__app__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16085), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16086)), _u16087))) | ( hAPP(hAPP(c_List_Otake(_u16086), hAPP(c_Nat_OSuc, _u16085)), _u16087) = hAPP(hAPP(c_List_Oappend(_u16086), hAPP(hAPP(c_List_Otake(_u16086), _u16085), _u16087)), hAPP(hAPP(c_List_Olist_OCons(_u16086), hAPP(hAPP(c_List_Onth(_u16086), _u16087), _u16085)), c_List_Olist_ONil(_u16086)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_snoc__listrel1__snoc__iff ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_snoc__listrel1__snoc__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16094), tc_List_Olist(_u16094))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16094), tc_List_Olist(_u16094)), hAPP(hAPP(c_List_Oappend(_u16094), _u16096), hAPP(hAPP(c_List_Olist_OCons(_u16094), _u16098), c_List_Olist_ONil(_u16094)))), hAPP(hAPP(c_List_Oappend(_u16094), _u16100), hAPP(hAPP(c_List_Olist_OCons(_u16094), _u16102), c_List_Olist_ONil(_u16094))))), c_List_Olistrel1(_u16094, _u16104))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16094), tc_List_Olist(_u16094))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16094), tc_List_Olist(_u16094)), _u16096), _u16100)), c_List_Olistrel1(_u16094, _u16104))) | ( _u16096 = _u16100) )).
% 19.51/19.73 cnf(fact_snoc__listrel1__snoc__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16094), tc_List_Olist(_u16094))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16094), tc_List_Olist(_u16094)), hAPP(hAPP(c_List_Oappend(_u16094), _u16096), hAPP(hAPP(c_List_Olist_OCons(_u16094), _u16098), c_List_Olist_ONil(_u16094)))), hAPP(hAPP(c_List_Oappend(_u16094), _u16100), hAPP(hAPP(c_List_Olist_OCons(_u16094), _u16102), c_List_Olist_ONil(_u16094))))), c_List_Olistrel1(_u16094, _u16104))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16094), tc_List_Olist(_u16094))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16094), tc_List_Olist(_u16094)), _u16096), _u16100)), c_List_Olistrel1(_u16094, _u16104))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16094, _u16094)), hAPP(hAPP(c_Product__Type_OPair(_u16094, _u16094), _u16098), _u16102)), _u16104)) )).
% 19.51/19.73 cnf(fact_snoc__listrel1__snoc__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16094), tc_List_Olist(_u16094))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16094), tc_List_Olist(_u16094)), hAPP(hAPP(c_List_Oappend(_u16094), _u16096), hAPP(hAPP(c_List_Olist_OCons(_u16094), _u16098), c_List_Olist_ONil(_u16094)))), hAPP(hAPP(c_List_Oappend(_u16094), _u16100), hAPP(hAPP(c_List_Olist_OCons(_u16094), _u16102), c_List_Olist_ONil(_u16094))))), c_List_Olistrel1(_u16094, _u16104))) | ( _u16098 = _u16102) | ( _u16096 = _u16100) )).
% 19.51/19.73 cnf(fact_snoc__listrel1__snoc__iff-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16094), tc_List_Olist(_u16094))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16094), tc_List_Olist(_u16094)), hAPP(hAPP(c_List_Oappend(_u16094), _u16096), hAPP(hAPP(c_List_Olist_OCons(_u16094), _u16098), c_List_Olist_ONil(_u16094)))), hAPP(hAPP(c_List_Oappend(_u16094), _u16100), hAPP(hAPP(c_List_Olist_OCons(_u16094), _u16102), c_List_Olist_ONil(_u16094))))), c_List_Olistrel1(_u16094, _u16104))) | ( _u16098 = _u16102) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16094, _u16094)), hAPP(hAPP(c_Product__Type_OPair(_u16094, _u16094), _u16098), _u16102)), _u16104)) )).
% 19.51/19.73 cnf(fact_snoc__listrel1__snoc__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16095), tc_List_Olist(_u16095))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16095), tc_List_Olist(_u16095)), hAPP(hAPP(c_List_Oappend(_u16095), _u16097), hAPP(hAPP(c_List_Olist_OCons(_u16095), _u16099), c_List_Olist_ONil(_u16095)))), hAPP(hAPP(c_List_Oappend(_u16095), _u16101), hAPP(hAPP(c_List_Olist_OCons(_u16095), _u16103), c_List_Olist_ONil(_u16095))))), c_List_Olistrel1(_u16095, _u16105))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16095), tc_List_Olist(_u16095))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16095), tc_List_Olist(_u16095)), _u16097), _u16101)), c_List_Olistrel1(_u16095, _u16105))) | ( _u16099 != _u16103) )).
% 19.51/19.73 cnf(fact_snoc__listrel1__snoc__iff-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16095), tc_List_Olist(_u16095))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16095), tc_List_Olist(_u16095)), hAPP(hAPP(c_List_Oappend(_u16095), _u16097), hAPP(hAPP(c_List_Olist_OCons(_u16095), _u16099), c_List_Olist_ONil(_u16095)))), hAPP(hAPP(c_List_Oappend(_u16095), _u16101), hAPP(hAPP(c_List_Olist_OCons(_u16095), _u16103), c_List_Olist_ONil(_u16095))))), c_List_Olistrel1(_u16095, _u16105))) | ( _u16097 != _u16101) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16095, _u16095)), hAPP(hAPP(c_Product__Type_OPair(_u16095, _u16095), _u16099), _u16103)), _u16105)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listrel1E ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listrel1E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16110), tc_List_Olist(_u16110))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16110), tc_List_Olist(_u16110)), _u16111), _u16112)), c_List_Olistrel1(_u16110, _u16113))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16110, _u16110)), hAPP(hAPP(c_Product__Type_OPair(_u16110, _u16110), skolem417(_u16113, _u16112, _u16111, _u16110)), skolem418(_u16113, _u16112, _u16111, _u16110))), _u16113)) )).
% 19.51/19.73 cnf(fact_listrel1E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16110), tc_List_Olist(_u16110))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16110), tc_List_Olist(_u16110)), _u16111), _u16112)), c_List_Olistrel1(_u16110, _u16113))) | ( _u16111 = hAPP(hAPP(c_List_Oappend(_u16110), skolem419(_u16113, _u16112, _u16111, _u16110)), hAPP(hAPP(c_List_Olist_OCons(_u16110), skolem417(_u16113, _u16112, _u16111, _u16110)), skolem420(_u16113, _u16112, _u16111, _u16110)))) )).
% 19.51/19.73 cnf(fact_listrel1E-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16110), tc_List_Olist(_u16110))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16110), tc_List_Olist(_u16110)), _u16111), _u16112)), c_List_Olistrel1(_u16110, _u16113))) | ( _u16112 = hAPP(hAPP(c_List_Oappend(_u16110), skolem419(_u16113, _u16112, _u16111, _u16110)), hAPP(hAPP(c_List_Olist_OCons(_u16110), skolem418(_u16113, _u16112, _u16111, _u16110)), skolem420(_u16113, _u16112, _u16111, _u16110)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_lexord__append__leftD ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_lexord__append__leftD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16115), tc_List_Olist(_u16115))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16115), tc_List_Olist(_u16115)), hAPP(hAPP(c_List_Oappend(_u16115), _u16116), _u16117)), hAPP(hAPP(c_List_Oappend(_u16115), _u16116), _u16118))), c_List_Olexord(_u16115, _u16119))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16115, _u16115)), hAPP(hAPP(c_Product__Type_OPair(_u16115, _u16115), skolem421(_u16119, _u16118, _u16117, _u16116, _u16115)), skolem421(_u16119, _u16118, _u16117, _u16116, _u16115))), _u16119)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16115), tc_List_Olist(_u16115))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16115), tc_List_Olist(_u16115)), _u16117), _u16118)), c_List_Olexord(_u16115, _u16119))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_rotate1__def ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_rotate1__def-1, axiom, ( ( hAPP(c_List_Orotate1(_u16120), _u16121) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u16120), _u16120, c_List_Olist_ONil(_u16120), hAPP(hAPP(c_COMBB(tc_List_Olist(_u16120), tc_fun(tc_List_Olist(_u16120), tc_List_Olist(_u16120)), _u16120), hAPP(c_COMBC(tc_List_Olist(_u16120), tc_List_Olist(_u16120), tc_List_Olist(_u16120)), c_List_Oappend(_u16120))), hAPP(hAPP(c_COMBC(_u16120, tc_List_Olist(_u16120), tc_List_Olist(_u16120)), c_List_Olist_OCons(_u16120)), c_List_Olist_ONil(_u16120)))), _u16121)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_upd__conv__take__nth__drop ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_upd__conv__take__nth__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16122), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16123)), _u16124))) | ( hAPP(hAPP(c_List_Olist__update(_u16123, _u16124), _u16122), _u16125) = hAPP(hAPP(c_List_Oappend(_u16123), hAPP(hAPP(c_List_Otake(_u16123), _u16122), _u16124)), hAPP(hAPP(c_List_Olist_OCons(_u16123), _u16125), hAPP(hAPP(c_List_Odrop(_u16123), hAPP(c_Nat_OSuc, _u16122)), _u16124)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_append__take__drop__id ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_append__take__drop__id-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16126), hAPP(hAPP(c_List_Otake(_u16126), _u16127), _u16128)), hAPP(hAPP(c_List_Odrop(_u16126), _u16127), _u16128)) = _u16128) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_drop__Suc__Cons ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_drop__Suc__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16129), hAPP(c_Nat_OSuc, _u16130)), hAPP(hAPP(c_List_Olist_OCons(_u16129), _u16131), _u16132)) = hAPP(hAPP(c_List_Odrop(_u16129), _u16130), _u16132)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_drop__1__Cons ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_drop__1__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16133), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u16133), _u16134), _u16135)) = _u16135) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_nth__via__drop ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_nth__via__drop-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16136), _u16137), _u16138) != hAPP(hAPP(c_List_Olist_OCons(_u16136), _u16139), _u16140)) | ( hAPP(hAPP(c_List_Onth(_u16136), _u16138), _u16137) = _u16139) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_distinct1__rotate ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_distinct1__rotate-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16143), hAPP(c_List_Orotate1(_u16143), _u16145))) | hBOOL(hAPP(c_List_Odistinct(_u16143), _u16145)) )).
% 19.51/19.73 cnf(fact_distinct1__rotate-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16144), _u16146)) | hBOOL(hAPP(c_List_Odistinct(_u16144), hAPP(c_List_Orotate1(_u16144), _u16146))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_distinct__drop ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_distinct__drop-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16147), _u16148)) | hBOOL(hAPP(c_List_Odistinct(_u16147), hAPP(hAPP(c_List_Odrop(_u16147), _u16149), _u16148))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_drop__butlast ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_drop__butlast-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16150), _u16151), c_List_Obutlast(_u16150, _u16152)) = c_List_Obutlast(_u16150, hAPP(hAPP(c_List_Odrop(_u16150), _u16151), _u16152))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_butlast__drop ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_butlast__drop-1, axiom, ( ( c_List_Obutlast(_u16153, hAPP(hAPP(c_List_Odrop(_u16153), _u16154), _u16155)) = hAPP(hAPP(c_List_Odrop(_u16153), _u16154), c_List_Obutlast(_u16153, _u16155))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_drop__take ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_drop__take-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16156), _u16157), hAPP(hAPP(c_List_Otake(_u16156), _u16158), _u16159)) = hAPP(hAPP(c_List_Otake(_u16156), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16158), _u16157)), hAPP(hAPP(c_List_Odrop(_u16156), _u16157), _u16159))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_take__drop ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_take__drop-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16160), _u16161), hAPP(hAPP(c_List_Odrop(_u16160), _u16162), _u16163)) = hAPP(hAPP(c_List_Odrop(_u16160), _u16162), hAPP(hAPP(c_List_Otake(_u16160), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16161), _u16162)), _u16163))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_drop__0 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_drop__0-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16164), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16165) = _u16165) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_drop__drop ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_drop__drop-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16166), _u16167), hAPP(hAPP(c_List_Odrop(_u16166), _u16168), _u16169)) = hAPP(hAPP(c_List_Odrop(_u16166), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16167), _u16168)), _u16169)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_drop__zip ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_drop__zip-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(tc_prod(_u16170, _u16171)), _u16172), hAPP(hAPP(c_List_Ozip(_u16170, _u16171), _u16173), _u16174)) = hAPP(hAPP(c_List_Ozip(_u16170, _u16171), hAPP(hAPP(c_List_Odrop(_u16170), _u16172), _u16173)), hAPP(hAPP(c_List_Odrop(_u16171), _u16172), _u16174))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_length__rotate1 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_length__rotate1-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16175)), hAPP(c_List_Orotate1(_u16175), _u16176)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16175)), _u16176)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_length__drop ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_length__drop-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16177)), hAPP(hAPP(c_List_Odrop(_u16177), _u16178), _u16179)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16177)), _u16179)), _u16178)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__rotate1 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__rotate1-1, axiom, ( ( hAPP(c_List_Oset(_u16180), hAPP(c_List_Orotate1(_u16180), _u16181)) = hAPP(c_List_Oset(_u16180), _u16181)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_in__set__dropD ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_in__set__dropD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16182), _u16183), hAPP(c_List_Oset(_u16182), hAPP(hAPP(c_List_Odrop(_u16182), _u16184), _u16185)))) | hBOOL(hAPP(hAPP(c_member(_u16182), _u16183), hAPP(c_List_Oset(_u16182), _u16185))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__drop__subset ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__drop__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16186, tc_HOL_Obool)), hAPP(c_List_Oset(_u16186), hAPP(hAPP(c_List_Odrop(_u16186), _u16187), _u16188))), hAPP(c_List_Oset(_u16186), _u16188))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_rotate1__is__Nil__conv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_rotate1__is__Nil__conv-1, axiom, ( ( hAPP(c_List_Orotate1(_u16191), _u16193) != c_List_Olist_ONil(_u16191)) | ( _u16193 = c_List_Olist_ONil(_u16191)) )).
% 19.51/19.73 cnf(fact_rotate1__is__Nil__conv-2, axiom, ( ( _u16194 != c_List_Olist_ONil(_u16192)) | ( hAPP(c_List_Orotate1(_u16192), _u16194) = c_List_Olist_ONil(_u16192)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_drop__Nil ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_drop__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16195), _u16196), c_List_Olist_ONil(_u16195)) = c_List_Olist_ONil(_u16195)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__drop__subset__set__drop ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__drop__subset__set__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16197), _u16198)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16199, tc_HOL_Obool)), hAPP(c_List_Oset(_u16199), hAPP(hAPP(c_List_Odrop(_u16199), _u16198), _u16200))), hAPP(c_List_Oset(_u16199), hAPP(hAPP(c_List_Odrop(_u16199), _u16197), _u16200)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_drop__all ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_drop__all-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16201)), _u16202)), _u16203)) | ( hAPP(hAPP(c_List_Odrop(_u16201), _u16203), _u16202) = c_List_Olist_ONil(_u16201)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_drop__eq__Nil ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_drop__eq__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16207), _u16209), _u16211) != c_List_Olist_ONil(_u16207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16207)), _u16211)), _u16209)) )).
% 19.51/19.73 cnf(fact_drop__eq__Nil-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16208)), _u16212)), _u16210)) | ( hAPP(hAPP(c_List_Odrop(_u16208), _u16210), _u16212) = c_List_Olist_ONil(_u16208)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_drop__append ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_drop__append-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16213), _u16214), hAPP(hAPP(c_List_Oappend(_u16213), _u16215), _u16216)) = hAPP(hAPP(c_List_Oappend(_u16213), hAPP(hAPP(c_List_Odrop(_u16213), _u16214), _u16215)), hAPP(hAPP(c_List_Odrop(_u16213), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16214), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16213)), _u16215))), _u16216))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_append__eq__conv__conj ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_append__eq__conv__conj-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16221), _u16223), _u16225) != _u16227) | ( _u16223 = hAPP(hAPP(c_List_Otake(_u16221), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16221)), _u16223)), _u16227)) )).
% 19.51/19.73 cnf(fact_append__eq__conv__conj-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16221), _u16223), _u16225) != _u16227) | ( _u16225 = hAPP(hAPP(c_List_Odrop(_u16221), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16221)), _u16223)), _u16227)) )).
% 19.51/19.73 cnf(fact_append__eq__conv__conj-3, axiom, ( ( _u16224 != hAPP(hAPP(c_List_Otake(_u16222), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16222)), _u16224)), _u16228)) | ( _u16226 != hAPP(hAPP(c_List_Odrop(_u16222), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16222)), _u16224)), _u16228)) | ( hAPP(hAPP(c_List_Oappend(_u16222), _u16224), _u16226) = _u16228) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_drop__Cons ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_drop__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16229), _u16230), hAPP(hAPP(c_List_Olist_OCons(_u16229), _u16231), _u16232)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u16229), hAPP(hAPP(c_List_Olist_OCons(_u16229), _u16231), _u16232), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u16229), tc_List_Olist(_u16229)), c_List_Odrop(_u16229)), _u16232), _u16230)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_drop__Cons_H ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_drop__Cons_H-1, axiom, ( ( _u16237 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16239), _u16237), hAPP(hAPP(c_List_Olist_OCons(_u16239), _u16241), _u16243)) = hAPP(hAPP(c_List_Olist_OCons(_u16239), _u16241), _u16243)) )).
% 19.51/19.73 cnf(fact_drop__Cons_H-2, axiom, ( ( _u16238 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16240), _u16238), hAPP(hAPP(c_List_Olist_OCons(_u16240), _u16242), _u16244)) = hAPP(hAPP(c_List_Odrop(_u16240), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16238), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u16244)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_nth__drop ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_nth__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16245), _u16246)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16247)), _u16248))) | ( hAPP(hAPP(c_List_Onth(_u16247), hAPP(hAPP(c_List_Odrop(_u16247), _u16245), _u16248)), _u16246) = hAPP(hAPP(c_List_Onth(_u16247), _u16248), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16245), _u16246))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_append__eq__append__conv__if ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_append__eq__append__conv__if-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16254), _u16256), _u16258) != hAPP(hAPP(c_List_Oappend(_u16254), _u16260), _u16262)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16254)), _u16256)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16254)), _u16260))) | ( _u16256 = hAPP(hAPP(c_List_Otake(_u16254), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16254)), _u16256)), _u16260)) )).
% 19.51/19.73 cnf(fact_append__eq__append__conv__if-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16254), _u16256), _u16258) != hAPP(hAPP(c_List_Oappend(_u16254), _u16260), _u16262)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16254)), _u16256)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16254)), _u16260))) | ( _u16258 = hAPP(hAPP(c_List_Oappend(_u16254), hAPP(hAPP(c_List_Odrop(_u16254), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16254)), _u16256)), _u16260)), _u16262)) )).
% 19.51/19.73 cnf(fact_append__eq__append__conv__if-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16254), _u16256), _u16258) != hAPP(hAPP(c_List_Oappend(_u16254), _u16260), _u16262)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16254)), _u16256)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16254)), _u16260))) | ( hAPP(hAPP(c_List_Otake(_u16254), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16254)), _u16260)), _u16256) = _u16260) )).
% 19.51/19.73 cnf(fact_append__eq__append__conv__if-4, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16254), _u16256), _u16258) != hAPP(hAPP(c_List_Oappend(_u16254), _u16260), _u16262)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16254)), _u16256)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16254)), _u16260))) | ( hAPP(hAPP(c_List_Oappend(_u16254), hAPP(hAPP(c_List_Odrop(_u16254), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16254)), _u16260)), _u16256)), _u16258) = _u16262) )).
% 19.51/19.73 cnf(fact_append__eq__append__conv__if-5, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16255), _u16257), _u16259) = hAPP(hAPP(c_List_Oappend(_u16255), _u16261), _u16263)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16255)), _u16257)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16255)), _u16261))) | ( hAPP(hAPP(c_List_Otake(_u16255), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16255)), _u16261)), _u16257) != _u16261) | ( hAPP(hAPP(c_List_Oappend(_u16255), hAPP(hAPP(c_List_Odrop(_u16255), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16255)), _u16261)), _u16257)), _u16259) != _u16263) )).
% 19.51/19.73 cnf(fact_append__eq__append__conv__if-6, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16255), _u16257), _u16259) = hAPP(hAPP(c_List_Oappend(_u16255), _u16261), _u16263)) | ( _u16257 != hAPP(hAPP(c_List_Otake(_u16255), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16255)), _u16257)), _u16261)) | ( _u16259 != hAPP(hAPP(c_List_Oappend(_u16255), hAPP(hAPP(c_List_Odrop(_u16255), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16255)), _u16257)), _u16261)), _u16263)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16255)), _u16257)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16255)), _u16261))) )).
% 19.51/19.73 cnf(fact_append__eq__append__conv__if-7, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16255), _u16257), _u16259) = hAPP(hAPP(c_List_Oappend(_u16255), _u16261), _u16263)) | ( _u16257 != hAPP(hAPP(c_List_Otake(_u16255), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16255)), _u16257)), _u16261)) | ( _u16259 != hAPP(hAPP(c_List_Oappend(_u16255), hAPP(hAPP(c_List_Odrop(_u16255), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16255)), _u16257)), _u16261)), _u16263)) | ( hAPP(hAPP(c_List_Otake(_u16255), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16255)), _u16261)), _u16257) != _u16261) | ( hAPP(hAPP(c_List_Oappend(_u16255), hAPP(hAPP(c_List_Odrop(_u16255), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16255)), _u16261)), _u16257)), _u16259) != _u16263) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_nth__drop_H ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_nth__drop_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16264), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16265)), _u16266))) | ( hAPP(hAPP(c_List_Olist_OCons(_u16265), hAPP(hAPP(c_List_Onth(_u16265), _u16266), _u16264)), hAPP(hAPP(c_List_Odrop(_u16265), hAPP(c_Nat_OSuc, _u16264)), _u16266)) = hAPP(hAPP(c_List_Odrop(_u16265), _u16264), _u16266)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_rotate__simps ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_rotate__simps-1, axiom, ( ( hAPP(c_List_Orotate1(_u16267), c_List_Olist_ONil(_u16267)) = c_List_Olist_ONil(_u16267)) )).
% 19.51/19.73 cnf(fact_rotate__simps-2, axiom, ( ( hAPP(c_List_Orotate1(_u16268), hAPP(hAPP(c_List_Olist_OCons(_u16268), _u16269), _u16270)) = hAPP(hAPP(c_List_Oappend(_u16268), _u16270), hAPP(hAPP(c_List_Olist_OCons(_u16268), _u16269), c_List_Olist_ONil(_u16268)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_drop__Cons__number__of ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_drop__Cons__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16275) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16277), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16275)), hAPP(hAPP(c_List_Olist_OCons(_u16277), _u16279), _u16281)) = hAPP(hAPP(c_List_Olist_OCons(_u16277), _u16279), _u16281)) )).
% 19.51/19.73 cnf(fact_drop__Cons__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16276) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16278), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16276)), hAPP(hAPP(c_List_Olist_OCons(_u16278), _u16280), _u16282)) = hAPP(hAPP(c_List_Odrop(_u16278), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16276)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u16282)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_take__add ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_take__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16283), _u16284)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16285)), _u16286))) | ( hAPP(hAPP(c_List_Otake(_u16285), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16283), _u16284)), _u16286) = hAPP(hAPP(c_List_Oappend(_u16285), hAPP(hAPP(c_List_Otake(_u16285), _u16283), _u16286)), hAPP(hAPP(c_List_Otake(_u16285), _u16284), hAPP(hAPP(c_List_Odrop(_u16285), _u16283), _u16286)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_rotate1__length01 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_rotate1__length01-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16287)), _u16288)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate1(_u16287), _u16288) = _u16288) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_zip__append2 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_zip__append2-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16289, _u16290), _u16291), hAPP(hAPP(c_List_Oappend(_u16290), _u16292), _u16293)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u16289, _u16290)), hAPP(hAPP(c_List_Ozip(_u16289, _u16290), hAPP(hAPP(c_List_Otake(_u16289), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16290)), _u16292)), _u16291)), _u16292)), hAPP(hAPP(c_List_Ozip(_u16289, _u16290), hAPP(hAPP(c_List_Odrop(_u16289), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16290)), _u16292)), _u16291)), _u16293))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_zip__append1 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_zip__append1-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16294, _u16295), hAPP(hAPP(c_List_Oappend(_u16294), _u16296), _u16297)), _u16298) = hAPP(hAPP(c_List_Oappend(tc_prod(_u16294, _u16295)), hAPP(hAPP(c_List_Ozip(_u16294, _u16295), _u16296), hAPP(hAPP(c_List_Otake(_u16295), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16294)), _u16296)), _u16298))), hAPP(hAPP(c_List_Ozip(_u16294, _u16295), _u16297), hAPP(hAPP(c_List_Odrop(_u16295), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16294)), _u16296)), _u16298)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_id__take__nth__drop ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_id__take__nth__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16299), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16300)), _u16301))) | ( _u16301 = hAPP(hAPP(c_List_Oappend(_u16300), hAPP(hAPP(c_List_Otake(_u16300), _u16299), _u16301)), hAPP(hAPP(c_List_Olist_OCons(_u16300), hAPP(hAPP(c_List_Onth(_u16300), _u16301), _u16299)), hAPP(hAPP(c_List_Odrop(_u16300), hAPP(c_Nat_OSuc, _u16299)), _u16301)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_take__hd__drop ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_take__hd__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16302), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16303)), _u16304))) | ( hAPP(hAPP(c_List_Oappend(_u16303), hAPP(hAPP(c_List_Otake(_u16303), _u16302), _u16304)), hAPP(hAPP(c_List_Olist_OCons(_u16303), hAPP(c_List_Ohd(_u16303), hAPP(hAPP(c_List_Odrop(_u16303), _u16302), _u16304))), c_List_Olist_ONil(_u16303))) = hAPP(hAPP(c_List_Otake(_u16303), hAPP(c_Nat_OSuc, _u16302)), _u16304)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_hd__drop__conv__nth ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_hd__drop__conv__nth-1, axiom, ( ( _u16305 = c_List_Olist_ONil(_u16306)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16307), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16306)), _u16305))) | ( hAPP(c_List_Ohd(_u16306), hAPP(hAPP(c_List_Odrop(_u16306), _u16307), _u16305)) = hAPP(hAPP(c_List_Onth(_u16306), _u16305), _u16307)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_hd_Osimps ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_hd_Osimps-1, axiom, ( ( hAPP(c_List_Ohd(_u16308), hAPP(hAPP(c_List_Olist_OCons(_u16308), _u16309), _u16310)) = _u16309) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_hd__append ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_hd__append-1, axiom, ( ( _u16314 != c_List_Olist_ONil(_u16316)) | ( hAPP(c_List_Ohd(_u16316), hAPP(hAPP(c_List_Oappend(_u16316), _u16314), _u16318)) = hAPP(c_List_Ohd(_u16316), _u16318)) )).
% 19.51/19.73 cnf(fact_hd__append-2, axiom, ( ( _u16315 = c_List_Olist_ONil(_u16317)) | ( hAPP(c_List_Ohd(_u16317), hAPP(hAPP(c_List_Oappend(_u16317), _u16315), _u16319)) = hAPP(c_List_Ohd(_u16317), _u16315)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_hd__append2 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_hd__append2-1, axiom, ( ( _u16320 = c_List_Olist_ONil(_u16321)) | ( hAPP(c_List_Ohd(_u16321), hAPP(hAPP(c_List_Oappend(_u16321), _u16320), _u16322)) = hAPP(c_List_Ohd(_u16321), _u16320)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_hd__in__set ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_hd__in__set-1, axiom, ( ( _u16323 = c_List_Olist_ONil(_u16324)) | hBOOL(hAPP(hAPP(c_member(_u16324), hAPP(c_List_Ohd(_u16324), _u16323)), hAPP(c_List_Oset(_u16324), _u16323))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_hd__conv__nth ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_hd__conv__nth-1, axiom, ( ( _u16325 = c_List_Olist_ONil(_u16326)) | ( hAPP(c_List_Ohd(_u16326), _u16325) = hAPP(hAPP(c_List_Onth(_u16326), _u16325), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_rotate1__hd__tl ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_rotate1__hd__tl-1, axiom, ( ( _u16327 = c_List_Olist_ONil(_u16328)) | ( hAPP(c_List_Orotate1(_u16328), _u16327) = hAPP(hAPP(c_List_Oappend(_u16328), hAPP(c_List_Otl(_u16328), _u16327)), hAPP(hAPP(c_List_Olist_OCons(_u16328), hAPP(c_List_Ohd(_u16328), _u16327)), c_List_Olist_ONil(_u16328)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_hd__rotate__conv__nth ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_hd__rotate__conv__nth-1, axiom, ( ( _u16329 = c_List_Olist_ONil(_u16330)) | ( hAPP(c_List_Ohd(_u16330), hAPP(c_List_Orotate(_u16330, _u16331), _u16329)) = hAPP(hAPP(c_List_Onth(_u16330), _u16329), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16331, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16330)), _u16329)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_tl__drop ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_tl__drop-1, axiom, ( ( hAPP(c_List_Otl(_u16332), hAPP(hAPP(c_List_Odrop(_u16332), _u16333), _u16334)) = hAPP(hAPP(c_List_Odrop(_u16332), _u16333), hAPP(c_List_Otl(_u16332), _u16334))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_drop__tl ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_drop__tl-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16335), _u16336), hAPP(c_List_Otl(_u16335), _u16337)) = hAPP(c_List_Otl(_u16335), hAPP(hAPP(c_List_Odrop(_u16335), _u16336), _u16337))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_tl_Osimps_I2_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_tl_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Otl(_u16338), hAPP(hAPP(c_List_Olist_OCons(_u16338), _u16339), _u16340)) = _u16340) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_distinct__rotate ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_distinct__rotate-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16344), hAPP(c_List_Orotate(_u16344, _u16346), _u16348))) | hBOOL(hAPP(c_List_Odistinct(_u16344), _u16348)) )).
% 19.51/19.73 cnf(fact_distinct__rotate-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16345), _u16349)) | hBOOL(hAPP(c_List_Odistinct(_u16345), hAPP(c_List_Orotate(_u16345, _u16347), _u16349))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_distinct__tl ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_distinct__tl-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16350), _u16351)) | hBOOL(hAPP(c_List_Odistinct(_u16350), hAPP(c_List_Otl(_u16350), _u16351))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_rotate__rotate ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_rotate__rotate-1, axiom, ( ( hAPP(c_List_Orotate(_u16352, _u16353), hAPP(c_List_Orotate(_u16352, _u16354), _u16355)) = hAPP(c_List_Orotate(_u16352, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16353), _u16354)), _u16355)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_rotate0 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_rotate0-1, axiom, ( ( c_List_Orotate(_u16356, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(_u16356))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_rotate__add ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_rotate__add-1, axiom, ( ( c_List_Orotate(_u16357, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16358), _u16359)) = hAPP(c_Fun_Ocomp(tc_List_Olist(_u16357), tc_List_Olist(_u16357), tc_List_Olist(_u16357), c_List_Orotate(_u16357, _u16358)), c_List_Orotate(_u16357, _u16359))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_length__rotate ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_length__rotate-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16360)), hAPP(c_List_Orotate(_u16360, _u16361), _u16362)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16360)), _u16362)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__rotate ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__rotate-1, axiom, ( ( hAPP(c_List_Oset(_u16363), hAPP(c_List_Orotate(_u16363, _u16364), _u16365)) = hAPP(c_List_Oset(_u16363), _u16365)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_rotate__is__Nil__conv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_rotate__is__Nil__conv-1, axiom, ( ( hAPP(c_List_Orotate(_u16369, _u16371), _u16373) != c_List_Olist_ONil(_u16369)) | ( _u16373 = c_List_Olist_ONil(_u16369)) )).
% 19.51/19.73 cnf(fact_rotate__is__Nil__conv-2, axiom, ( ( _u16374 != c_List_Olist_ONil(_u16370)) | ( hAPP(c_List_Orotate(_u16370, _u16372), _u16374) = c_List_Olist_ONil(_u16370)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_tl_Osimps_I1_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_tl_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Otl(_u16375), c_List_Olist_ONil(_u16375)) = c_List_Olist_ONil(_u16375)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_rotate1__rotate__swap ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_rotate1__rotate__swap-1, axiom, ( ( hAPP(c_List_Orotate1(_u16376), hAPP(c_List_Orotate(_u16376, _u16377), _u16378)) = hAPP(c_List_Orotate(_u16376, _u16377), hAPP(c_List_Orotate1(_u16376), _u16378))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_rotate__def ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_rotate__def-1, axiom, ( ( c_List_Orotate(_u16379, _u16380) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(_u16379), tc_List_Olist(_u16379)), _u16380), c_List_Orotate1(_u16379))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_tl__append2 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_tl__append2-1, axiom, ( ( _u16381 = c_List_Olist_ONil(_u16382)) | ( hAPP(c_List_Otl(_u16382), hAPP(hAPP(c_List_Oappend(_u16382), _u16381), _u16383)) = hAPP(hAPP(c_List_Oappend(_u16382), hAPP(c_List_Otl(_u16382), _u16381)), _u16383)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_take__tl ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_take__tl-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16384), _u16385), hAPP(c_List_Otl(_u16384), _u16386)) = hAPP(c_List_Otl(_u16384), hAPP(hAPP(c_List_Otake(_u16384), hAPP(c_Nat_OSuc, _u16385)), _u16386))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_rotate__conv__mod ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_rotate__conv__mod-1, axiom, ( ( hAPP(c_List_Orotate(_u16387, _u16388), _u16389) = hAPP(c_List_Orotate(_u16387, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16388, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16387)), _u16389))), _u16389)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_drop__Suc ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_drop__Suc-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16390), hAPP(c_Nat_OSuc, _u16391)), _u16392) = hAPP(hAPP(c_List_Odrop(_u16390), _u16391), hAPP(c_List_Otl(_u16390), _u16392))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_rotate__Suc ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_rotate__Suc-1, axiom, ( ( hAPP(c_List_Orotate(_u16393, hAPP(c_Nat_OSuc, _u16394)), _u16395) = hAPP(c_List_Orotate1(_u16393), hAPP(c_List_Orotate(_u16393, _u16394), _u16395))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_tl__append ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_tl__append-1, axiom, ( ( hAPP(c_List_Otl(_u16396), hAPP(hAPP(c_List_Oappend(_u16396), _u16397), _u16398)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u16396), _u16396, hAPP(c_List_Otl(_u16396), _u16398), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u16396), tc_List_Olist(_u16396)), _u16396), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16396), tc_List_Olist(_u16396), tc_List_Olist(_u16396)), c_List_Oappend(_u16396)), _u16398))), _u16397)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_rotate__id ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_rotate__id-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16399, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16400)), _u16401)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Orotate(_u16400, _u16399), _u16401) = _u16401) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_rotate__length01 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_rotate__length01-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16402)), _u16403)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate(_u16402, _u16404), _u16403) = _u16403) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_length__tl ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_length__tl-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16405)), hAPP(c_List_Otl(_u16405), _u16406)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16405)), _u16406)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_tl__take ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_tl__take-1, axiom, ( ( hAPP(c_List_Otl(_u16407), hAPP(hAPP(c_List_Otake(_u16407), _u16408), _u16409)) = hAPP(hAPP(c_List_Otake(_u16407), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16408), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_List_Otl(_u16407), _u16409))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_take__Suc ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_take__Suc-1, axiom, ( ( _u16410 = c_List_Olist_ONil(_u16411)) | ( hAPP(hAPP(c_List_Otake(_u16411), hAPP(c_Nat_OSuc, _u16412)), _u16410) = hAPP(hAPP(c_List_Olist_OCons(_u16411), hAPP(c_List_Ohd(_u16411), _u16410)), hAPP(hAPP(c_List_Otake(_u16411), _u16412), hAPP(c_List_Otl(_u16411), _u16410)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_rotate__drop__take ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_rotate__drop__take-1, axiom, ( ( hAPP(c_List_Orotate(_u16413, _u16414), _u16415) = hAPP(hAPP(c_List_Oappend(_u16413), hAPP(hAPP(c_List_Odrop(_u16413), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16414, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16413)), _u16415))), _u16415)), hAPP(hAPP(c_List_Otake(_u16413), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16414, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16413)), _u16415))), _u16415))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_fold1__set ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_fold1__set-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u16416) | ( _u16417 = c_List_Olist_ONil(_u16416)) | ( hAPP(c_Finite__Set_Ofold1(_u16416, c_Groups_Otimes__class_Otimes(_u16416)), hAPP(c_List_Oset(_u16416), _u16417)) = hAPP(c_List_Ofoldl(_u16416, _u16416, c_Groups_Otimes__class_Otimes(_u16416), hAPP(c_List_Ohd(_u16416), _u16417)), hAPP(c_List_Otl(_u16416), _u16417))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_lexord__append__rightI ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_lexord__append__rightI-1, axiom, ( ( _u16420 != hAPP(hAPP(c_List_Olist_OCons(_u16421), _u16419), _u16418)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16421), tc_List_Olist(_u16421))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16421), tc_List_Olist(_u16421)), _u16422), hAPP(hAPP(c_List_Oappend(_u16421), _u16422), _u16420))), c_List_Olexord(_u16421, _u16423))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_foldl__Nil ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_foldl__Nil-1, axiom, ( ( hAPP(c_List_Ofoldl(_u16424, _u16425, _u16426, _u16427), c_List_Olist_ONil(_u16425)) = _u16427) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_start__le__sum ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_start__le__sum-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16428), _u16429)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16428), hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16429), _u16430))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_foldl__absorb0 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_foldl__absorb0-1, axiom, ( ~class_Groups_Omonoid__add(_u16431) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16431), _u16432), hAPP(c_List_Ofoldl(_u16431, _u16431, c_Groups_Oplus__class_Oplus(_u16431), c_Groups_Ozero__class_Ozero(_u16431)), _u16433)) = hAPP(c_List_Ofoldl(_u16431, _u16431, c_Groups_Oplus__class_Oplus(_u16431), _u16432), _u16433)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_foldl__assoc ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_foldl__assoc-1, axiom, ( ~class_Groups_Osemigroup__add(_u16434) | ( hAPP(c_List_Ofoldl(_u16434, _u16434, c_Groups_Oplus__class_Oplus(_u16434), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16434), _u16435), _u16436)), _u16437) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16434), _u16435), hAPP(c_List_Ofoldl(_u16434, _u16434, c_Groups_Oplus__class_Oplus(_u16434), _u16436), _u16437))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_foldl__Cons ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_foldl__Cons-1, axiom, ( ( hAPP(c_List_Ofoldl(_u16438, _u16439, _u16440, _u16441), hAPP(hAPP(c_List_Olist_OCons(_u16439), _u16442), _u16443)) = hAPP(c_List_Ofoldl(_u16438, _u16439, _u16440, hAPP(hAPP(_u16440, _u16441), _u16442)), _u16443)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_foldl__append ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_foldl__append-1, axiom, ( ( hAPP(c_List_Ofoldl(_u16444, _u16445, _u16446, _u16447), hAPP(hAPP(c_List_Oappend(_u16445), _u16448), _u16449)) = hAPP(c_List_Ofoldl(_u16444, _u16445, _u16446, hAPP(c_List_Ofoldl(_u16444, _u16445, _u16446, _u16447), _u16448)), _u16449)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listsum__foldl ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listsum__foldl-1, axiom, ( ~class_Groups_Omonoid__add(_u16450) | ( c_List_Omonoid__add__class_Olistsum(_u16450) = c_List_Ofoldl(_u16450, _u16450, c_Groups_Oplus__class_Oplus(_u16450), c_Groups_Ozero__class_Ozero(_u16450))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sum__eq__0__conv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sum__eq__0__conv-1, axiom, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16455), _u16457) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16455 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.73 cnf(fact_sum__eq__0__conv-2, axiom, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16455), _u16457) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16451), hAPP(c_List_Oset(tc_Nat_Onat), _u16457))) | ( _u16451 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.73 cnf(fact_sum__eq__0__conv-3, axiom, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16456), _u16458) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16456 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem422(_u16458, _u16456)), hAPP(c_List_Oset(tc_Nat_Onat), _u16458))) )).
% 19.51/19.73 cnf(fact_sum__eq__0__conv-4, axiom, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16456), _u16458) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16456 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem422(_u16458, _u16456) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_fun__left__comm__idem_Ofold__set ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_fun__left__comm__idem_Ofold__set-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u16459, _u16460, _u16461) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16459, _u16460, _u16461), _u16462), hAPP(c_List_Oset(_u16459), _u16463)) = hAPP(c_List_Ofoldl(_u16460, _u16459, hAPP(c_COMBC(_u16459, _u16460, _u16460), _u16461), _u16462), _u16463)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_Sup__set__fold ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_Sup__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16464) | ( c_Complete__Lattice_OSup__class_OSup(_u16464, hAPP(c_List_Oset(_u16464), _u16465)) = hAPP(c_List_Ofoldl(_u16464, _u16464, c_Lattices_Osemilattice__sup__class_Osup(_u16464), c_Orderings_Obot__class_Obot(_u16464)), _u16465)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_Inf__set__fold ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_Inf__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16466) | ( c_Complete__Lattice_OInf__class_OInf(_u16466, hAPP(c_List_Oset(_u16466), _u16467)) = hAPP(c_List_Ofoldl(_u16466, _u16466, c_Lattices_Osemilattice__inf__class_Oinf(_u16466), c_Orderings_Otop__class_Otop(_u16466)), _u16467)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_Sup__fin__set__fold ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_Sup__fin__set__fold-1, axiom, ( ~class_Lattices_Olattice(_u16468) | ( c_Big__Operators_Olattice__class_OSup__fin(_u16468, hAPP(c_List_Oset(_u16468), hAPP(hAPP(c_List_Olist_OCons(_u16468), _u16469), _u16470))) = hAPP(c_List_Ofoldl(_u16468, _u16468, c_Lattices_Osemilattice__sup__class_Osup(_u16468), _u16469), _u16470)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_Inf__fin__set__fold ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_Inf__fin__set__fold-1, axiom, ( ~class_Lattices_Olattice(_u16471) | ( c_Big__Operators_Olattice__class_OInf__fin(_u16471, hAPP(c_List_Oset(_u16471), hAPP(hAPP(c_List_Olist_OCons(_u16471), _u16472), _u16473))) = hAPP(c_List_Ofoldl(_u16471, _u16471, c_Lattices_Osemilattice__inf__class_Oinf(_u16471), _u16472), _u16473)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_Min__fin__set__fold ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_Min__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u16474) | ( c_Big__Operators_Olinorder__class_OMin(_u16474, hAPP(c_List_Oset(_u16474), hAPP(hAPP(c_List_Olist_OCons(_u16474), _u16475), _u16476))) = hAPP(c_List_Ofoldl(_u16474, _u16474, c_Orderings_Oord__class_Omin(_u16474), _u16475), _u16476)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_Max__fin__set__fold ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_Max__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u16477) | ( c_Big__Operators_Olinorder__class_OMax(_u16477, hAPP(c_List_Oset(_u16477), hAPP(hAPP(c_List_Olist_OCons(_u16477), _u16478), _u16479))) = hAPP(c_List_Ofoldl(_u16477, _u16477, c_Orderings_Oord__class_Omax(_u16477), _u16478), _u16479)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_min__max_OInf__fin__set__fold ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_min__max_OInf__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u16480) | ( c_Big__Operators_Olattice_OInf__fin(_u16480, c_Orderings_Oord__class_Omin(_u16480), hAPP(c_List_Oset(_u16480), hAPP(hAPP(c_List_Olist_OCons(_u16480), _u16481), _u16482))) = hAPP(c_List_Ofoldl(_u16480, _u16480, c_Orderings_Oord__class_Omin(_u16480), _u16481), _u16482)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_min__max_OSup__fin__set__fold ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_min__max_OSup__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u16483) | ( c_Big__Operators_Olattice_OSup__fin(_u16483, c_Orderings_Oord__class_Omax(_u16483), hAPP(c_List_Oset(_u16483), hAPP(hAPP(c_List_Olist_OCons(_u16483), _u16484), _u16485))) = hAPP(c_List_Ofoldl(_u16483, _u16483, c_Orderings_Oord__class_Omax(_u16483), _u16484), _u16485)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_SUPR__set__fold ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_SUPR__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16486) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16487, _u16486), hAPP(c_List_Oset(_u16487), _u16488)), _u16489) = hAPP(c_List_Ofoldl(_u16486, _u16487, hAPP(c_COMBC(_u16487, _u16486, _u16486), hAPP(hAPP(c_COMBB(_u16486, tc_fun(_u16486, _u16486), _u16487), c_Lattices_Osemilattice__sup__class_Osup(_u16486)), _u16489)), c_Orderings_Obot__class_Obot(_u16486)), _u16488)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_INFI__set__fold ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_INFI__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16490) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16491, _u16490), hAPP(c_List_Oset(_u16491), _u16492)), _u16493) = hAPP(c_List_Ofoldl(_u16490, _u16491, hAPP(c_COMBC(_u16491, _u16490, _u16490), hAPP(hAPP(c_COMBB(_u16490, tc_fun(_u16490, _u16490), _u16491), c_Lattices_Osemilattice__inf__class_Oinf(_u16490)), _u16493)), c_Orderings_Otop__class_Otop(_u16490)), _u16492)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_elem__le__sum ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_elem__le__sum-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16494), hAPP(c_List_Oset(tc_Nat_Onat), _u16495))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16494), hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16495))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__list__of__set__insert ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__list__of__set__insert-1, axiom, ( ~class_Orderings_Olinorder(_u16496) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16496), _u16497)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u16496, hAPP(hAPP(c_Set_Oinsert(_u16496), _u16498), _u16497)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16496, _u16496, c_COMBI(_u16496)), _u16498), c_List_Olinorder__class_Osorted__list__of__set(_u16496, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16496, tc_HOL_Obool)), _u16497), hAPP(hAPP(c_Set_Oinsert(_u16496), _u16498), c_Orderings_Obot__class_Obot(tc_fun(_u16496, tc_HOL_Obool))))))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_lexord__Nil__left ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_lexord__Nil__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16506), tc_List_Olist(_u16506))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16506), tc_List_Olist(_u16506)), c_List_Olist_ONil(_u16506)), _u16508)), c_List_Olexord(_u16506, _u16510))) | ( _u16508 = hAPP(hAPP(c_List_Olist_OCons(_u16506), skolem423(_u16510, _u16508, _u16506)), skolem424(_u16510, _u16508, _u16506))) )).
% 19.51/19.73 cnf(fact_lexord__Nil__left-2, axiom, ( ( _u16509 != hAPP(hAPP(c_List_Olist_OCons(_u16507), _u16502), _u16501)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16507), tc_List_Olist(_u16507))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16507), tc_List_Olist(_u16507)), c_List_Olist_ONil(_u16507)), _u16509)), c_List_Olexord(_u16507, _u16511))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_insort__key_Osimps_I1_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_insort__key_Osimps_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u16512) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16513, _u16512, _u16514), _u16515), c_List_Olist_ONil(_u16513)) = hAPP(hAPP(c_List_Olist_OCons(_u16513), _u16515), c_List_Olist_ONil(_u16513))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_insort__key_Osimps_I2_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_insort__key_Osimps_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u16516) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16516), hAPP(_u16517, _u16518)), hAPP(_u16517, _u16519))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16520, _u16516, _u16517), _u16518), hAPP(hAPP(c_List_Olist_OCons(_u16520), _u16519), _u16521)) = hAPP(hAPP(c_List_Olist_OCons(_u16520), _u16518), hAPP(hAPP(c_List_Olist_OCons(_u16520), _u16519), _u16521))) )).
% 19.51/19.73 cnf(fact_insort__key_Osimps_I2_J-2, axiom, ( ~class_Orderings_Olinorder(_u16516) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16516), hAPP(_u16517, _u16518)), hAPP(_u16517, _u16519))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16520, _u16516, _u16517), _u16518), hAPP(hAPP(c_List_Olist_OCons(_u16520), _u16519), _u16521)) = hAPP(hAPP(c_List_Olist_OCons(_u16520), _u16519), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16520, _u16516, _u16517), _u16518), _u16521))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__insort ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__insort-1, axiom, ( ~class_Orderings_Olinorder(_u16522) | ( hAPP(c_List_Oset(_u16523), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16523, _u16522, _u16524), _u16525), _u16526)) = hAPP(hAPP(c_Set_Oinsert(_u16523), _u16525), hAPP(c_List_Oset(_u16523), _u16526))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_length__insort ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_length__insort-1, axiom, ( ~class_Orderings_Olinorder(_u16527) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16528)), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16528, _u16527, _u16529), _u16530), _u16531)) = hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16528)), _u16531))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_insort__left__comm ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_insort__left__comm-1, axiom, ( ~class_Orderings_Olinorder(_u16532) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16532, _u16532, c_COMBI(_u16532)), _u16533), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16532, _u16532, c_COMBI(_u16532)), _u16534), _u16535)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16532, _u16532, c_COMBI(_u16532)), _u16534), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16532, _u16532, c_COMBI(_u16532)), _u16533), _u16535))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_fun__left__comm__insort ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_fun__left__comm__insort-1, axiom, ( ~class_Orderings_Olinorder(_u16536) | c_Finite__Set_Ofun__left__comm(_u16536, tc_List_Olist(_u16536), c_List_Olinorder__class_Oinsort__key(_u16536, _u16536, c_COMBI(_u16536))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_insort__key__left__comm ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_insort__key__left__comm-1, axiom, ( ~class_Orderings_Olinorder(_u16537) | ( hAPP(_u16538, _u16539) = hAPP(_u16538, _u16540)) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16541, _u16537, _u16538), _u16540), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16541, _u16537, _u16538), _u16539), _u16542)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16541, _u16537, _u16538), _u16539), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16541, _u16537, _u16538), _u16540), _u16542))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_remove1__insort ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_remove1__insort-1, axiom, ( ~class_Orderings_Olinorder(_u16543) | ( c_List_Oremove1(_u16543, _u16544, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16543, _u16543, c_COMBI(_u16543)), _u16544), _u16545)) = _u16545) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_insort__not__Nil ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_insort__not__Nil-1, axiom, ( ~class_Orderings_Olinorder(_u16546) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16547, _u16546, _u16548), _u16549), _u16550) != c_List_Olist_ONil(_u16547)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_distinct__insort ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_distinct__insort-1, axiom, ( ~class_Orderings_Olinorder(_u16551) | ~hBOOL(hAPP(c_List_Odistinct(_u16552), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16552, _u16551, _u16553), _u16554), _u16555))) | ~hBOOL(hAPP(hAPP(c_member(_u16552), _u16554), hAPP(c_List_Oset(_u16552), _u16555))) )).
% 19.51/19.73 cnf(fact_distinct__insort-2, axiom, ( ~class_Orderings_Olinorder(_u16551) | ~hBOOL(hAPP(c_List_Odistinct(_u16552), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16552, _u16551, _u16553), _u16554), _u16555))) | hBOOL(hAPP(c_List_Odistinct(_u16552), _u16555)) )).
% 19.51/19.73 cnf(fact_distinct__insort-3, axiom, ( ~class_Orderings_Olinorder(_u16551) | hBOOL(hAPP(hAPP(c_member(_u16552), _u16554), hAPP(c_List_Oset(_u16552), _u16555))) | ~hBOOL(hAPP(c_List_Odistinct(_u16552), _u16555)) | hBOOL(hAPP(c_List_Odistinct(_u16552), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16552, _u16551, _u16553), _u16554), _u16555))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_insort__insert__insort__key ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_insort__insert__insort__key-1, axiom, ( ~class_Orderings_Olinorder(_u16556) | hBOOL(hAPP(hAPP(c_member(_u16556), hAPP(_u16557, _u16558)), hAPP(c_Set_Oimage(_u16559, _u16556, _u16557), hAPP(c_List_Oset(_u16559), _u16560)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16559, _u16556, _u16557, _u16558, _u16560) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16559, _u16556, _u16557), _u16558), _u16560)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_insort__insert__insort ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_insort__insert__insort-1, axiom, ( ~class_Orderings_Olinorder(_u16561) | hBOOL(hAPP(hAPP(c_member(_u16561), _u16562), hAPP(c_List_Oset(_u16561), _u16563))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16561, _u16561, c_COMBI(_u16561), _u16562, _u16563) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16561, _u16561, c_COMBI(_u16561)), _u16562), _u16563)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_distinct__insort__insert ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_distinct__insort__insert-1, axiom, ( ~class_Orderings_Olinorder(_u16564) | ~hBOOL(hAPP(c_List_Odistinct(_u16565), _u16566)) | hBOOL(hAPP(c_List_Odistinct(_u16565), c_List_Olinorder__class_Oinsort__insert__key(_u16565, _u16564, _u16567, _u16568, _u16566))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_insort__insert__triv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_insort__insert__triv-1, axiom, ( ~class_Orderings_Olinorder(_u16569) | ~hBOOL(hAPP(hAPP(c_member(_u16569), _u16570), hAPP(c_List_Oset(_u16569), _u16571))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16569, _u16569, c_COMBI(_u16569), _u16570, _u16571) = _u16571) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__insort__insert ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__insort__insert-1, axiom, ( ~class_Orderings_Olinorder(_u16572) | ( hAPP(c_List_Oset(_u16572), c_List_Olinorder__class_Oinsort__insert__key(_u16572, _u16572, c_COMBI(_u16572), _u16573, _u16574)) = hAPP(hAPP(c_Set_Oinsert(_u16572), _u16573), hAPP(c_List_Oset(_u16572), _u16574))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_insort__insert__key__triv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_insort__insert__key__triv-1, axiom, ( ~class_Orderings_Olinorder(_u16575) | ~hBOOL(hAPP(hAPP(c_member(_u16575), hAPP(_u16576, _u16577)), hAPP(c_Set_Oimage(_u16578, _u16575, _u16576), hAPP(c_List_Oset(_u16578), _u16579)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16578, _u16575, _u16576, _u16577, _u16579) = _u16579) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_last__list__update ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_last__list__update-1, axiom, ( ( _u16580 = c_List_Olist_ONil(_u16581)) | ( _u16582 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16581)), _u16580)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u16581, hAPP(hAPP(c_List_Olist__update(_u16581, _u16580), _u16582), _u16583)) = _u16583) )).
% 19.51/19.73 cnf(fact_last__list__update-2, axiom, ( ( _u16580 = c_List_Olist_ONil(_u16581)) | ( _u16582 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16581)), _u16580)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u16581, hAPP(hAPP(c_List_Olist__update(_u16581, _u16580), _u16582), _u16583)) = c_List_Olast(_u16581, _u16580)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_last__conv__nth ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_last__conv__nth-1, axiom, ( ( _u16584 = c_List_Olist_ONil(_u16585)) | ( c_List_Olast(_u16585, _u16584) = hAPP(hAPP(c_List_Onth(_u16585), _u16584), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16585)), _u16584)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_last__ConsL ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_last__ConsL-1, axiom, ( ( _u16586 != c_List_Olist_ONil(_u16587)) | ( c_List_Olast(_u16587, hAPP(hAPP(c_List_Olist_OCons(_u16587), _u16588), _u16586)) = _u16588) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_last__ConsR ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_last__ConsR-1, axiom, ( ( _u16589 = c_List_Olist_ONil(_u16590)) | ( c_List_Olast(_u16590, hAPP(hAPP(c_List_Olist_OCons(_u16590), _u16591), _u16589)) = c_List_Olast(_u16590, _u16589)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_last_Osimps ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_last_Osimps-1, axiom, ( ( _u16595 != c_List_Olist_ONil(_u16597)) | ( c_List_Olast(_u16597, hAPP(hAPP(c_List_Olist_OCons(_u16597), _u16599), _u16595)) = _u16599) )).
% 19.51/19.73 cnf(fact_last_Osimps-2, axiom, ( ( _u16596 = c_List_Olist_ONil(_u16598)) | ( c_List_Olast(_u16598, hAPP(hAPP(c_List_Olist_OCons(_u16598), _u16600), _u16596)) = c_List_Olast(_u16598, _u16596)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_last__appendL ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_last__appendL-1, axiom, ( ( _u16601 != c_List_Olist_ONil(_u16602)) | ( c_List_Olast(_u16602, hAPP(hAPP(c_List_Oappend(_u16602), _u16603), _u16601)) = c_List_Olast(_u16602, _u16603)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_last__appendR ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_last__appendR-1, axiom, ( ( _u16604 = c_List_Olist_ONil(_u16605)) | ( c_List_Olast(_u16605, hAPP(hAPP(c_List_Oappend(_u16605), _u16606), _u16604)) = c_List_Olast(_u16605, _u16604)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_last__append ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_last__append-1, axiom, ( ( _u16610 != c_List_Olist_ONil(_u16612)) | ( c_List_Olast(_u16612, hAPP(hAPP(c_List_Oappend(_u16612), _u16614), _u16610)) = c_List_Olast(_u16612, _u16614)) )).
% 19.51/19.73 cnf(fact_last__append-2, axiom, ( ( _u16611 = c_List_Olist_ONil(_u16613)) | ( c_List_Olast(_u16613, hAPP(hAPP(c_List_Oappend(_u16613), _u16615), _u16611)) = c_List_Olast(_u16613, _u16611)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_last__in__set ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_last__in__set-1, axiom, ( ( _u16616 = c_List_Olist_ONil(_u16617)) | hBOOL(hAPP(hAPP(c_member(_u16617), c_List_Olast(_u16617, _u16616)), hAPP(c_List_Oset(_u16617), _u16616))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_last__snoc ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_last__snoc-1, axiom, ( ( c_List_Olast(_u16618, hAPP(hAPP(c_List_Oappend(_u16618), _u16619), hAPP(hAPP(c_List_Olist_OCons(_u16618), _u16620), c_List_Olist_ONil(_u16618)))) = _u16620) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_last__drop ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_last__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16621), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16622)), _u16623))) | ( c_List_Olast(_u16622, hAPP(hAPP(c_List_Odrop(_u16622), _u16621), _u16623)) = c_List_Olast(_u16622, _u16623)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_snoc__eq__iff__butlast ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_snoc__eq__iff__butlast-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16628), _u16630), hAPP(hAPP(c_List_Olist_OCons(_u16628), _u16632), c_List_Olist_ONil(_u16628))) != _u16634) | ( _u16634 != c_List_Olist_ONil(_u16628)) )).
% 19.51/19.73 cnf(fact_snoc__eq__iff__butlast-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16628), _u16630), hAPP(hAPP(c_List_Olist_OCons(_u16628), _u16632), c_List_Olist_ONil(_u16628))) != _u16634) | ( c_List_Obutlast(_u16628, _u16634) = _u16630) )).
% 19.51/19.73 cnf(fact_snoc__eq__iff__butlast-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16628), _u16630), hAPP(hAPP(c_List_Olist_OCons(_u16628), _u16632), c_List_Olist_ONil(_u16628))) != _u16634) | ( c_List_Olast(_u16628, _u16634) = _u16632) )).
% 19.51/19.73 cnf(fact_snoc__eq__iff__butlast-4, axiom, ( ( _u16635 = c_List_Olist_ONil(_u16629)) | ( c_List_Obutlast(_u16629, _u16635) != _u16631) | ( c_List_Olast(_u16629, _u16635) != _u16633) | ( hAPP(hAPP(c_List_Oappend(_u16629), _u16631), hAPP(hAPP(c_List_Olist_OCons(_u16629), _u16633), c_List_Olist_ONil(_u16629))) = _u16635) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_append__butlast__last__id ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_append__butlast__last__id-1, axiom, ( ( _u16636 = c_List_Olist_ONil(_u16637)) | ( hAPP(hAPP(c_List_Oappend(_u16637), c_List_Obutlast(_u16637, _u16636)), hAPP(hAPP(c_List_Olist_OCons(_u16637), c_List_Olast(_u16637, _u16636)), c_List_Olist_ONil(_u16637))) = _u16636) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_lists_Osimps ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_lists_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16645)), _u16647), c_List_Olists(_u16645, _u16649))) | ( _u16647 = c_List_Olist_ONil(_u16645)) | hBOOL(hAPP(hAPP(c_member(_u16645), skolem425(_u16649, _u16647, _u16645)), _u16649)) )).
% 19.51/19.73 cnf(fact_lists_Osimps-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16645)), _u16647), c_List_Olists(_u16645, _u16649))) | ( _u16647 = c_List_Olist_ONil(_u16645)) | ( _u16647 = hAPP(hAPP(c_List_Olist_OCons(_u16645), skolem425(_u16649, _u16647, _u16645)), skolem426(_u16649, _u16647, _u16645))) )).
% 19.51/19.73 cnf(fact_lists_Osimps-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16645)), _u16647), c_List_Olists(_u16645, _u16649))) | ( _u16647 = c_List_Olist_ONil(_u16645)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16645)), skolem426(_u16649, _u16647, _u16645)), c_List_Olists(_u16645, _u16649))) )).
% 19.51/19.73 cnf(fact_lists_Osimps-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16646)), _u16648), c_List_Olists(_u16646, _u16650))) | ( _u16648 != c_List_Olist_ONil(_u16646)) )).
% 19.51/19.73 cnf(fact_lists_Osimps-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16646)), _u16648), c_List_Olists(_u16646, _u16650))) | ~hBOOL(hAPP(hAPP(c_member(_u16646), _u16641), _u16650)) | ( _u16648 != hAPP(hAPP(c_List_Olist_OCons(_u16646), _u16641), _u16640)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16646)), _u16640), c_List_Olists(_u16646, _u16650))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_select__weigth__select ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_select__weigth__select-1, axiom, ( ( _u16651 = c_List_Olist_ONil(_u16652)) | ( c_Random_Oselect__weight(_u16652, hAPP(hAPP(c_List_Omap(_u16652, tc_prod(tc_Code__Numeral_Ocode__numeral, _u16652)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u16652), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u16651)) = c_Random_Oselect(_u16652, _u16651)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_inj__mapI ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_inj__mapI-1, axiom, ( ~c_Fun_Oinj__on(_u16653, _u16654, _u16655, c_Orderings_Otop__class_Otop(tc_fun(_u16653, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u16653), tc_List_Olist(_u16654), hAPP(c_List_Omap(_u16653, _u16654), _u16655), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u16653), tc_HOL_Obool))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_last__map ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_last__map-1, axiom, ( ( _u16656 = c_List_Olist_ONil(_u16657)) | ( c_List_Olast(_u16658, hAPP(hAPP(c_List_Omap(_u16657, _u16658), _u16659), _u16656)) = hAPP(_u16659, c_List_Olast(_u16657, _u16656))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_List_Omap_Oid ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_List_Omap_Oid-1, axiom, ( ( hAPP(c_List_Omap(_u16660, _u16660), c_Fun_Oid(_u16660)) = c_Fun_Oid(tc_List_Olist(_u16660))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_foldl__map ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_foldl__map-1, axiom, ( ( hAPP(c_List_Ofoldl(_u16661, _u16662, _u16663, _u16664), hAPP(hAPP(c_List_Omap(_u16665, _u16662), _u16666), _u16667)) = hAPP(c_List_Ofoldl(_u16661, _u16665, hAPP(hAPP(c_COMBC(_u16661, tc_fun(_u16665, _u16662), tc_fun(_u16665, _u16661)), hAPP(hAPP(c_COMBB(tc_fun(_u16662, _u16661), tc_fun(tc_fun(_u16665, _u16662), tc_fun(_u16665, _u16661)), _u16661), c_COMBB(_u16662, _u16661, _u16665)), _u16663)), _u16666), _u16664), _u16667)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_map__tl ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_map__tl-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16668, _u16669), _u16670), hAPP(c_List_Otl(_u16668), _u16671)) = hAPP(c_List_Otl(_u16669), hAPP(hAPP(c_List_Omap(_u16668, _u16669), _u16670), _u16671))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_rotate__map ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_rotate__map-1, axiom, ( ( hAPP(c_List_Orotate(_u16672, _u16673), hAPP(hAPP(c_List_Omap(_u16674, _u16672), _u16675), _u16676)) = hAPP(hAPP(c_List_Omap(_u16674, _u16672), _u16675), hAPP(c_List_Orotate(_u16674, _u16673), _u16676))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_zip__map2 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_zip__map2-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16677, _u16678), _u16679), hAPP(hAPP(c_List_Omap(_u16680, _u16678), _u16681), _u16682)) = hAPP(hAPP(c_List_Omap(tc_prod(_u16677, _u16680), tc_prod(_u16677, _u16678)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16677, _u16680, tc_prod(_u16677, _u16678)), hAPP(hAPP(c_COMBC(_u16677, tc_fun(_u16680, _u16678), tc_fun(_u16680, tc_prod(_u16677, _u16678))), hAPP(hAPP(c_COMBB(tc_fun(_u16678, tc_prod(_u16677, _u16678)), tc_fun(tc_fun(_u16680, _u16678), tc_fun(_u16680, tc_prod(_u16677, _u16678))), _u16677), c_COMBB(_u16678, tc_prod(_u16677, _u16678), _u16680)), c_Product__Type_OPair(_u16677, _u16678))), _u16681))), hAPP(hAPP(c_List_Ozip(_u16677, _u16680), _u16679), _u16682))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_map__zip__map2 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_map__zip__map2-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u16683, _u16684), _u16685), _u16686), hAPP(hAPP(c_List_Ozip(_u16683, _u16684), _u16687), hAPP(hAPP(c_List_Omap(_u16688, _u16684), _u16689), _u16690))) = hAPP(hAPP(c_List_Omap(tc_prod(_u16683, _u16688), _u16685), hAPP(c_Product__Type_Oprod_Oprod__case(_u16683, _u16688, _u16685), hAPP(hAPP(c_COMBB(tc_fun(_u16688, tc_prod(_u16683, _u16684)), tc_fun(_u16688, _u16685), _u16683), hAPP(c_COMBB(tc_prod(_u16683, _u16684), _u16685, _u16688), _u16686)), hAPP(hAPP(c_COMBC(_u16683, tc_fun(_u16688, _u16684), tc_fun(_u16688, tc_prod(_u16683, _u16684))), hAPP(hAPP(c_COMBB(tc_fun(_u16684, tc_prod(_u16683, _u16684)), tc_fun(tc_fun(_u16688, _u16684), tc_fun(_u16688, tc_prod(_u16683, _u16684))), _u16683), c_COMBB(_u16684, tc_prod(_u16683, _u16684), _u16688)), c_Product__Type_OPair(_u16683, _u16684))), _u16689)))), hAPP(hAPP(c_List_Ozip(_u16683, _u16688), _u16687), _u16690))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_map__zip__map ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_map__zip__map-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u16691, _u16692), _u16693), _u16694), hAPP(hAPP(c_List_Ozip(_u16691, _u16692), hAPP(hAPP(c_List_Omap(_u16695, _u16691), _u16696), _u16697)), _u16698)) = hAPP(hAPP(c_List_Omap(tc_prod(_u16695, _u16692), _u16693), hAPP(c_Product__Type_Oprod_Oprod__case(_u16695, _u16692, _u16693), hAPP(hAPP(c_COMBB(tc_fun(_u16692, tc_prod(_u16691, _u16692)), tc_fun(_u16692, _u16693), _u16695), hAPP(c_COMBB(tc_prod(_u16691, _u16692), _u16693, _u16692), _u16694)), hAPP(hAPP(c_COMBB(_u16691, tc_fun(_u16692, tc_prod(_u16691, _u16692)), _u16695), c_Product__Type_OPair(_u16691, _u16692)), _u16696)))), hAPP(hAPP(c_List_Ozip(_u16695, _u16692), _u16697), _u16698))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_zip__map1 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_zip__map1-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16699, _u16700), hAPP(hAPP(c_List_Omap(_u16701, _u16699), _u16702), _u16703)), _u16704) = hAPP(hAPP(c_List_Omap(tc_prod(_u16701, _u16700), tc_prod(_u16699, _u16700)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16701, _u16700, tc_prod(_u16699, _u16700)), hAPP(hAPP(c_COMBB(_u16699, tc_fun(_u16700, tc_prod(_u16699, _u16700)), _u16701), c_Product__Type_OPair(_u16699, _u16700)), _u16702))), hAPP(hAPP(c_List_Ozip(_u16701, _u16700), _u16703), _u16704))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_zip__map__map ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_zip__map__map-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16705, _u16706), hAPP(hAPP(c_List_Omap(_u16707, _u16705), _u16708), _u16709)), hAPP(hAPP(c_List_Omap(_u16710, _u16706), _u16711), _u16712)) = hAPP(hAPP(c_List_Omap(tc_prod(_u16707, _u16710), tc_prod(_u16705, _u16706)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16707, _u16710, tc_prod(_u16705, _u16706)), hAPP(hAPP(c_COMBC(_u16707, tc_fun(_u16710, _u16706), tc_fun(_u16710, tc_prod(_u16705, _u16706))), hAPP(hAPP(c_COMBB(tc_fun(_u16706, tc_prod(_u16705, _u16706)), tc_fun(tc_fun(_u16710, _u16706), tc_fun(_u16710, tc_prod(_u16705, _u16706))), _u16707), c_COMBB(_u16706, tc_prod(_u16705, _u16706), _u16710)), hAPP(hAPP(c_COMBB(_u16705, tc_fun(_u16706, tc_prod(_u16705, _u16706)), _u16707), c_Product__Type_OPair(_u16705, _u16706)), _u16708))), _u16711))), hAPP(hAPP(c_List_Ozip(_u16707, _u16710), _u16709), _u16712))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_zip__same__conv__map ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_zip__same__conv__map-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16713, _u16713), _u16714), _u16714) = hAPP(hAPP(c_List_Omap(_u16713, tc_prod(_u16713, _u16713)), hAPP(hAPP(c_COMBS(_u16713, _u16713, tc_prod(_u16713, _u16713)), c_Product__Type_OPair(_u16713, _u16713)), c_COMBI(_u16713))), _u16714)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_Nil__is__map__conv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_Nil__is__map__conv-1, axiom, ( ( _u16725 = c_List_Olist_ONil(_u16721)) | ( c_List_Olist_ONil(_u16719) != hAPP(hAPP(c_List_Omap(_u16721, _u16719), _u16723), _u16725)) )).
% 19.51/19.73 cnf(fact_Nil__is__map__conv-2, axiom, ( ( _u16726 != c_List_Olist_ONil(_u16722)) | ( c_List_Olist_ONil(_u16720) = hAPP(hAPP(c_List_Omap(_u16722, _u16720), _u16724), _u16726)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_map_Osimps_I1_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_map_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16727, _u16728), _u16729), c_List_Olist_ONil(_u16727)) = c_List_Olist_ONil(_u16728)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_map__is__Nil__conv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_map__is__Nil__conv-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16734, _u16736), _u16738), _u16740) != c_List_Olist_ONil(_u16736)) | ( _u16740 = c_List_Olist_ONil(_u16734)) )).
% 19.51/19.73 cnf(fact_map__is__Nil__conv-2, axiom, ( ( _u16741 != c_List_Olist_ONil(_u16735)) | ( hAPP(hAPP(c_List_Omap(_u16735, _u16737), _u16739), _u16741) = c_List_Olist_ONil(_u16737)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_map__update ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_map__update-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16742, _u16743), _u16744), hAPP(hAPP(c_List_Olist__update(_u16742, _u16745), _u16746), _u16747)) = hAPP(hAPP(c_List_Olist__update(_u16743, hAPP(hAPP(c_List_Omap(_u16742, _u16743), _u16744), _u16745)), _u16746), hAPP(_u16744, _u16747))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_map__eq__conv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_map__eq__conv-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16755, _u16757), _u16759), _u16761) != hAPP(hAPP(c_List_Omap(_u16755, _u16757), _u16763), _u16761)) | ~hBOOL(hAPP(hAPP(c_member(_u16755), _u16748), hAPP(c_List_Oset(_u16755), _u16761))) | ( hAPP(_u16759, _u16748) = hAPP(_u16763, _u16748)) )).
% 19.51/19.73 cnf(fact_map__eq__conv-2, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16756, _u16758), _u16760), _u16762) = hAPP(hAPP(c_List_Omap(_u16756, _u16758), _u16764), _u16762)) | hBOOL(hAPP(hAPP(c_member(_u16756), skolem427(_u16764, _u16762, _u16760, _u16758, _u16756)), hAPP(c_List_Oset(_u16756), _u16762))) )).
% 19.51/19.73 cnf(fact_map__eq__conv-3, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16756, _u16758), _u16760), _u16762) = hAPP(hAPP(c_List_Omap(_u16756, _u16758), _u16764), _u16762)) | ( hAPP(_u16760, skolem427(_u16764, _u16762, _u16760, _u16758, _u16756)) != hAPP(_u16764, skolem427(_u16764, _u16762, _u16760, _u16758, _u16756))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_map__eq__imp__length__eq ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_map__eq__imp__length__eq-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16765, _u16766), _u16767), _u16768) != hAPP(hAPP(c_List_Omap(_u16769, _u16766), _u16770), _u16771)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16765)), _u16768) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16769)), _u16771)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_length__map ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_length__map-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16772)), hAPP(hAPP(c_List_Omap(_u16773, _u16772), _u16774), _u16775)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16773)), _u16775)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listsum__addf ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listsum__addf-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u16776) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16776), hAPP(hAPP(c_List_Omap(_u16777, _u16776), hAPP(hAPP(c_COMBS(_u16777, _u16776, _u16776), hAPP(hAPP(c_COMBB(_u16776, tc_fun(_u16776, _u16776), _u16777), c_Groups_Oplus__class_Oplus(_u16776)), _u16778)), _u16779)), _u16780)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16776), hAPP(c_List_Omonoid__add__class_Olistsum(_u16776), hAPP(hAPP(c_List_Omap(_u16777, _u16776), _u16778), _u16780))), hAPP(c_List_Omonoid__add__class_Olistsum(_u16776), hAPP(hAPP(c_List_Omap(_u16777, _u16776), _u16779), _u16780)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listsum__0 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listsum__0-1, axiom, ( ~class_Groups_Omonoid__add(_u16781) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16781), hAPP(hAPP(c_List_Omap(_u16782, _u16781), hAPP(c_COMBK(_u16781, _u16782), c_Groups_Ozero__class_Ozero(_u16781))), _u16783)) = c_Groups_Ozero__class_Ozero(_u16781)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listsum__const__mult ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listsum__const__mult-1, axiom, ( ~class_Rings_Osemiring__0(_u16784) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16784), hAPP(hAPP(c_List_Omap(_u16785, _u16784), hAPP(hAPP(c_COMBB(_u16784, _u16784, _u16785), hAPP(c_Groups_Otimes__class_Otimes(_u16784), _u16786)), _u16787)), _u16788)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u16784), _u16786), hAPP(c_List_Omonoid__add__class_Olistsum(_u16784), hAPP(hAPP(c_List_Omap(_u16785, _u16784), _u16787), _u16788)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listsum__mult__const ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listsum__mult__const-1, axiom, ( ~class_Rings_Osemiring__0(_u16789) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16789), hAPP(hAPP(c_List_Omap(_u16790, _u16789), hAPP(hAPP(c_COMBC(_u16790, _u16789, _u16789), hAPP(hAPP(c_COMBB(_u16789, tc_fun(_u16789, _u16789), _u16790), c_Groups_Otimes__class_Otimes(_u16789)), _u16791)), _u16792)), _u16793)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u16789), hAPP(c_List_Omonoid__add__class_Olistsum(_u16789), hAPP(hAPP(c_List_Omap(_u16790, _u16789), _u16791), _u16793))), _u16792)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listsum__subtractf ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listsum__subtractf-1, axiom, ( ~class_Groups_Oab__group__add(_u16794) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16794), hAPP(hAPP(c_List_Omap(_u16795, _u16794), hAPP(hAPP(c_COMBS(_u16795, _u16794, _u16794), hAPP(hAPP(c_COMBB(_u16794, tc_fun(_u16794, _u16794), _u16795), c_Groups_Ominus__class_Ominus(_u16794)), _u16796)), _u16797)), _u16798)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u16794), hAPP(c_List_Omonoid__add__class_Olistsum(_u16794), hAPP(hAPP(c_List_Omap(_u16795, _u16794), _u16796), _u16798))), hAPP(c_List_Omonoid__add__class_Olistsum(_u16794), hAPP(hAPP(c_List_Omap(_u16795, _u16794), _u16797), _u16798)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_inj__map__eq__map ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_inj__map__eq__map-1, axiom, ( ~c_Fun_Oinj__on(_u16799, _u16800, _u16801, c_Orderings_Otop__class_Otop(tc_fun(_u16799, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u16799, _u16800), _u16801), _u16802) != hAPP(hAPP(c_List_Omap(_u16799, _u16800), _u16801), _u16803)) | ( _u16802 = _u16803) )).
% 19.51/19.73 cnf(fact_inj__map__eq__map-2, axiom, ( ~c_Fun_Oinj__on(_u16799, _u16800, _u16801, c_Orderings_Otop__class_Otop(tc_fun(_u16799, tc_HOL_Obool))) | ( _u16802 != _u16803) | ( hAPP(hAPP(c_List_Omap(_u16799, _u16800), _u16801), _u16802) = hAPP(hAPP(c_List_Omap(_u16799, _u16800), _u16801), _u16803)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_map__injective ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_map__injective-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16804, _u16805), _u16806), _u16807) != hAPP(hAPP(c_List_Omap(_u16804, _u16805), _u16806), _u16808)) | ~c_Fun_Oinj__on(_u16804, _u16805, _u16806, c_Orderings_Otop__class_Otop(tc_fun(_u16804, tc_HOL_Obool))) | ( _u16807 = _u16808) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_map__ident ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_map__ident-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16809, _u16809), c_COMBI(_u16809)), _u16810) = _u16810) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_take__map ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_take__map-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16811), _u16812), hAPP(hAPP(c_List_Omap(_u16813, _u16811), _u16814), _u16815)) = hAPP(hAPP(c_List_Omap(_u16813, _u16811), _u16814), hAPP(hAPP(c_List_Otake(_u16813), _u16812), _u16815))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_map__butlast ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_map__butlast-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16816, _u16817), _u16818), c_List_Obutlast(_u16816, _u16819)) = c_List_Obutlast(_u16817, hAPP(hAPP(c_List_Omap(_u16816, _u16817), _u16818), _u16819))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__map ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__map-1, axiom, ( ( hAPP(c_List_Oset(_u16820), hAPP(hAPP(c_List_Omap(_u16821, _u16820), _u16822), _u16823)) = hAPP(c_Set_Oimage(_u16821, _u16820, _u16822), hAPP(c_List_Oset(_u16821), _u16823))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_map_Osimps_I2_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_map_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16824, _u16825), _u16826), hAPP(hAPP(c_List_Olist_OCons(_u16824), _u16827), _u16828)) = hAPP(hAPP(c_List_Olist_OCons(_u16825), hAPP(_u16826, _u16827)), hAPP(hAPP(c_List_Omap(_u16824, _u16825), _u16826), _u16828))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_map__append ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_map__append-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16829, _u16830), _u16831), hAPP(hAPP(c_List_Oappend(_u16829), _u16832), _u16833)) = hAPP(hAPP(c_List_Oappend(_u16830), hAPP(hAPP(c_List_Omap(_u16829, _u16830), _u16831), _u16832)), hAPP(hAPP(c_List_Omap(_u16829, _u16830), _u16831), _u16833))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_hd__map ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_hd__map-1, axiom, ( ( _u16834 = c_List_Olist_ONil(_u16835)) | ( hAPP(c_List_Ohd(_u16836), hAPP(hAPP(c_List_Omap(_u16835, _u16836), _u16837), _u16834)) = hAPP(_u16837, hAPP(c_List_Ohd(_u16835), _u16834))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_drop__map ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_drop__map-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u16838), _u16839), hAPP(hAPP(c_List_Omap(_u16840, _u16838), _u16841), _u16842)) = hAPP(hAPP(c_List_Omap(_u16840, _u16838), _u16841), hAPP(hAPP(c_List_Odrop(_u16840), _u16839), _u16842))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_List_Omap_Oidentity ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_List_Omap_Oidentity-1, axiom, ( ( hAPP(c_List_Omap(_u16843, _u16843), c_COMBI(_u16843)) = c_Fun_Oid(tc_List_Olist(_u16843))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_map__map ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_map__map-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16844, _u16845), _u16846), hAPP(hAPP(c_List_Omap(_u16847, _u16844), _u16848), _u16849)) = hAPP(hAPP(c_List_Omap(_u16847, _u16845), hAPP(c_Fun_Ocomp(_u16844, _u16845, _u16847, _u16846), _u16848)), _u16849)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_List_Omap_Ocompositionality ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_List_Omap_Ocompositionality-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16850, _u16851), _u16852), hAPP(hAPP(c_List_Omap(_u16853, _u16850), _u16854), _u16855)) = hAPP(hAPP(c_List_Omap(_u16853, _u16851), hAPP(c_Fun_Ocomp(_u16850, _u16851, _u16853, _u16852), _u16854)), _u16855)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_map__comp__map ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_map__comp__map-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u16856), tc_List_Olist(_u16857), tc_List_Olist(_u16858), hAPP(c_List_Omap(_u16856, _u16857), _u16859)), hAPP(c_List_Omap(_u16858, _u16856), _u16860)) = hAPP(c_List_Omap(_u16858, _u16857), hAPP(c_Fun_Ocomp(_u16856, _u16857, _u16858, _u16859), _u16860))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_List_Omap_Ocomp ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_List_Omap_Ocomp-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u16861), tc_List_Olist(_u16862), tc_List_Olist(_u16863), hAPP(c_List_Omap(_u16861, _u16862), _u16864)), hAPP(c_List_Omap(_u16863, _u16861), _u16865)) = hAPP(c_List_Omap(_u16863, _u16862), hAPP(c_Fun_Ocomp(_u16861, _u16862, _u16863, _u16864), _u16865))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__size__map ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__size__map-1, axiom, ( ( c_List_Olist_Olist__size(_u16866, _u16867, hAPP(hAPP(c_List_Omap(_u16868, _u16866), _u16869), _u16870)) = c_List_Olist_Olist__size(_u16868, hAPP(c_Fun_Ocomp(_u16866, tc_Nat_Onat, _u16868, _u16867), _u16869), _u16870)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_map__inj__on ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_map__inj__on-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u16871, _u16872), _u16873), _u16874) != hAPP(hAPP(c_List_Omap(_u16871, _u16872), _u16873), _u16875)) | ~c_Fun_Oinj__on(_u16871, _u16872, _u16873, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16871, tc_HOL_Obool)), hAPP(c_List_Oset(_u16871), _u16874)), hAPP(c_List_Oset(_u16871), _u16875))) | ( _u16874 = _u16875) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_inj__on__map__eq__map ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_inj__on__map__eq__map-1, axiom, ( ~c_Fun_Oinj__on(_u16876, _u16877, _u16878, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16876, tc_HOL_Obool)), hAPP(c_List_Oset(_u16876), _u16879)), hAPP(c_List_Oset(_u16876), _u16880))) | ( hAPP(hAPP(c_List_Omap(_u16876, _u16877), _u16878), _u16879) != hAPP(hAPP(c_List_Omap(_u16876, _u16877), _u16878), _u16880)) | ( _u16879 = _u16880) )).
% 19.51/19.73 cnf(fact_inj__on__map__eq__map-2, axiom, ( ~c_Fun_Oinj__on(_u16876, _u16877, _u16878, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16876, tc_HOL_Obool)), hAPP(c_List_Oset(_u16876), _u16879)), hAPP(c_List_Oset(_u16876), _u16880))) | ( _u16879 != _u16880) | ( hAPP(hAPP(c_List_Omap(_u16876, _u16877), _u16878), _u16879) = hAPP(hAPP(c_List_Omap(_u16876, _u16877), _u16878), _u16880)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_nth__map ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_nth__map-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16881), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16882)), _u16883))) | ( hAPP(hAPP(c_List_Onth(_u16884), hAPP(hAPP(c_List_Omap(_u16882, _u16884), _u16885), _u16883)), _u16881) = hAPP(_u16885, hAPP(hAPP(c_List_Onth(_u16882), _u16883), _u16881))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_map__fun__upd ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_map__fun__upd-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16886), _u16887), hAPP(c_List_Oset(_u16886), _u16888))) | ( hAPP(hAPP(c_List_Omap(_u16886, _u16889), c_Fun_Ofun__upd(_u16886, _u16889, _u16890, _u16887, _u16891)), _u16888) = hAPP(hAPP(c_List_Omap(_u16886, _u16889), _u16890), _u16888)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_distinct__map ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_distinct__map-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16896), hAPP(hAPP(c_List_Omap(_u16898, _u16896), _u16900), _u16902))) | hBOOL(hAPP(c_List_Odistinct(_u16898), _u16902)) )).
% 19.51/19.73 cnf(fact_distinct__map-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16896), hAPP(hAPP(c_List_Omap(_u16898, _u16896), _u16900), _u16902))) | c_Fun_Oinj__on(_u16898, _u16896, _u16900, hAPP(c_List_Oset(_u16898), _u16902)) )).
% 19.51/19.73 cnf(fact_distinct__map-3, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16899), _u16903)) | ~c_Fun_Oinj__on(_u16899, _u16897, _u16901, hAPP(c_List_Oset(_u16899), _u16903)) | hBOOL(hAPP(c_List_Odistinct(_u16897), hAPP(hAPP(c_List_Omap(_u16899, _u16897), _u16901), _u16903))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listsum__abs ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listsum__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u16904) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16904), hAPP(c_Groups_Oabs__class_Oabs(_u16904), hAPP(c_List_Omonoid__add__class_Olistsum(_u16904), _u16905))), hAPP(c_List_Omonoid__add__class_Olistsum(_u16904), hAPP(hAPP(c_List_Omap(_u16904, _u16904), c_Groups_Oabs__class_Oabs(_u16904)), _u16905)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_uminus__listsum__map ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_uminus__listsum__map-1, axiom, ( ~class_Groups_Oab__group__add(_u16906) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u16906), hAPP(c_List_Omonoid__add__class_Olistsum(_u16906), hAPP(hAPP(c_List_Omap(_u16907, _u16906), _u16908), _u16909))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u16906), hAPP(hAPP(c_List_Omap(_u16907, _u16906), hAPP(c_Fun_Ocomp(_u16906, _u16906, _u16907, c_Groups_Ouminus__class_Ouminus(_u16906)), _u16908)), _u16909))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_inj__on__mapI ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_inj__on__mapI-1, axiom, ( ~c_Fun_Oinj__on(_u16910, _u16911, _u16912, c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16910, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_List_Olist(_u16910), tc_fun(_u16910, tc_HOL_Obool), c_List_Oset(_u16910)), _u16913))) | c_Fun_Oinj__on(tc_List_Olist(_u16910), tc_List_Olist(_u16911), hAPP(c_List_Omap(_u16910, _u16911), _u16912), _u16913) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_inj__mapD ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_inj__mapD-1, axiom, ( ~c_Fun_Oinj__on(tc_List_Olist(_u16914), tc_List_Olist(_u16915), hAPP(c_List_Omap(_u16914, _u16915), _u16916), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u16914), tc_HOL_Obool))) | c_Fun_Oinj__on(_u16914, _u16915, _u16916, c_Orderings_Otop__class_Otop(tc_fun(_u16914, tc_HOL_Obool))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_inj__map ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_inj__map-1, axiom, ( ~c_Fun_Oinj__on(tc_List_Olist(_u16920), tc_List_Olist(_u16922), hAPP(c_List_Omap(_u16920, _u16922), _u16924), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u16920), tc_HOL_Obool))) | c_Fun_Oinj__on(_u16920, _u16922, _u16924, c_Orderings_Otop__class_Otop(tc_fun(_u16920, tc_HOL_Obool))) )).
% 19.51/19.73 cnf(fact_inj__map-2, axiom, ( ~c_Fun_Oinj__on(_u16921, _u16923, _u16925, c_Orderings_Otop__class_Otop(tc_fun(_u16921, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u16921), tc_List_Olist(_u16923), hAPP(c_List_Omap(_u16921, _u16923), _u16925), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u16921), tc_HOL_Obool))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listsum__distinct__conv__setsum__set ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listsum__distinct__conv__setsum__set-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u16926) | ~hBOOL(hAPP(c_List_Odistinct(_u16927), _u16928)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16926), hAPP(hAPP(c_List_Omap(_u16927, _u16926), _u16929), _u16928)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u16927, _u16926), _u16929), hAPP(c_List_Oset(_u16927), _u16928))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listsum__triv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listsum__triv-1, axiom, ( ~class_Rings_Osemiring__1(_u16930) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16930), hAPP(hAPP(c_List_Omap(_u16931, _u16930), hAPP(c_COMBK(_u16930, _u16931), _u16932)), _u16933)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u16930), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u16930), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16931)), _u16933))), _u16932)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listsum__map__remove1 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listsum__map__remove1-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u16934) | ~hBOOL(hAPP(hAPP(c_member(_u16935), _u16936), hAPP(c_List_Oset(_u16935), _u16937))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16934), hAPP(hAPP(c_List_Omap(_u16935, _u16934), _u16938), _u16937)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16934), hAPP(_u16938, _u16936)), hAPP(c_List_Omonoid__add__class_Olistsum(_u16934), hAPP(hAPP(c_List_Omap(_u16935, _u16934), _u16938), c_List_Oremove1(_u16935, _u16936, _u16937))))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_Nitpick_Osetsum_H__def ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_Nitpick_Osetsum_H__def-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u16939) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16940), _u16941)) | ( c_Nitpick_Osetsum_H(_u16940, _u16939, _u16942, _u16941) = hAPP(c_List_Omonoid__add__class_Olistsum(_u16939), hAPP(hAPP(c_List_Omap(_u16940, _u16939), _u16942), c_Hilbert__Choice_OEps(tc_List_Olist(_u16940), hAPP(hAPP(c_COMBS(tc_List_Olist(_u16940), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u16940)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16940), tc_fun(_u16940, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u16940, tc_HOL_Obool), tc_fun(tc_fun(_u16940, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u16940)), c_fequal), c_List_Oset(_u16940))), _u16941))), c_List_Odistinct(_u16940)))))) )).
% 19.51/19.73 cnf(fact_Nitpick_Osetsum_H__def-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u16939) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u16940), _u16941)) | ( c_Nitpick_Osetsum_H(_u16940, _u16939, _u16942, _u16941) = c_Groups_Ozero__class_Ozero(_u16939)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_pick__same ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_pick__same-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16943), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16944)), _u16945))) | ( hAPP(c_Random_Opick(_u16944, hAPP(hAPP(c_List_Omap(_u16944, tc_prod(tc_Code__Numeral_Ocode__numeral, _u16944)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u16944), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u16945)), hAPP(c_Code__Numeral_Oof__nat, _u16943)) = hAPP(hAPP(c_List_Onth(_u16944), _u16945), _u16943)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_zero__code__numeral__def ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_zero__code__numeral__def-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_times__code__numeral__code ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_times__code__numeral__code-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u16946)), hAPP(c_Code__Numeral_Oof__nat, _u16947)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u16946), _u16947))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_Code__Numeral_Oof__nat__inject ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_Code__Numeral_Oof__nat__inject-1, axiom, ( ( hAPP(c_Code__Numeral_Oof__nat, _u16950) != hAPP(c_Code__Numeral_Oof__nat, _u16952)) | ( _u16950 = _u16952) )).
% 19.51/19.73 cnf(fact_Code__Numeral_Oof__nat__inject-2, axiom, ( ( _u16951 != _u16953) | ( hAPP(c_Code__Numeral_Oof__nat, _u16951) = hAPP(c_Code__Numeral_Oof__nat, _u16953)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_Code__Numeral_Oof__nat__code ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_Code__Numeral_Oof__nat__code-1, axiom, ( ( c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_one__code__numeral__def ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_one__code__numeral__def-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat, c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_less__code__numeral__code ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_less__code__numeral__code-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u16956)), hAPP(c_Code__Numeral_Oof__nat, _u16958))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16956), _u16958)) )).
% 19.51/19.73 cnf(fact_less__code__numeral__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16957), _u16959)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u16957)), hAPP(c_Code__Numeral_Oof__nat, _u16959))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_code__numeral_Oof__nat__inject ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_code__numeral_Oof__nat__inject-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16960), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16961), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( hAPP(c_Code__Numeral_Oof__nat, _u16960) != hAPP(c_Code__Numeral_Oof__nat, _u16961)) | ( _u16960 = _u16961) )).
% 19.51/19.73 cnf(fact_code__numeral_Oof__nat__inject-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16960), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16961), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u16960 != _u16961) | ( hAPP(c_Code__Numeral_Oof__nat, _u16960) = hAPP(c_Code__Numeral_Oof__nat, _u16961)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_map__fst__zip ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_map__fst__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16962)), _u16963) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16964)), _u16965)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u16962, _u16964), _u16962), c_Product__Type_Ofst(_u16962, _u16964)), hAPP(hAPP(c_List_Ozip(_u16962, _u16964), _u16963), _u16965)) = _u16963) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_map__snd__zip ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_map__snd__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16966)), _u16967) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16968)), _u16969)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u16966, _u16968), _u16968), c_Product__Type_Osnd(_u16966, _u16968)), hAPP(hAPP(c_List_Ozip(_u16966, _u16968), _u16967), _u16969)) = _u16969) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_number__of__code__numeral__def ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_number__of__code__numeral__def-1, axiom, ( ( c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Fun_Ocomp(tc_Nat_Onat, tc_Code__Numeral_Ocode__numeral, tc_Int_Oint, c_Code__Numeral_Oof__nat), c_Int_Onat)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_zip__map__fst__snd ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_zip__map__fst__snd-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16970, _u16971), hAPP(hAPP(c_List_Omap(tc_prod(_u16970, _u16971), _u16970), c_Product__Type_Ofst(_u16970, _u16971)), _u16972)), hAPP(hAPP(c_List_Omap(tc_prod(_u16970, _u16971), _u16971), c_Product__Type_Osnd(_u16970, _u16971)), _u16972)) = _u16972) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_plus__code__numeral__code ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_plus__code__numeral__code-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u16973)), hAPP(c_Code__Numeral_Oof__nat, _u16974)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16973), _u16974))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_less__eq__code__numeral__code ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_less__eq__code__numeral__code-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u16977)), hAPP(c_Code__Numeral_Oof__nat, _u16979))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16977), _u16979)) )).
% 19.51/19.73 cnf(fact_less__eq__code__numeral__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16978), _u16980)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u16978)), hAPP(c_Code__Numeral_Oof__nat, _u16980))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_subtract__code__numeral__code ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_subtract__code__numeral__code-1, axiom, ( ( hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, hAPP(c_Code__Numeral_Oof__nat, _u16981)), hAPP(c_Code__Numeral_Oof__nat, _u16982)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16981), _u16982))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_pick__member ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_pick__member-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u16983), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u16984), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u16984)), _u16985)))) | hBOOL(hAPP(hAPP(c_member(_u16984), hAPP(c_Random_Opick(_u16984, _u16985), _u16983)), hAPP(c_List_Oset(_u16984), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u16984), _u16984), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u16984)), _u16985)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_zip__eq__conv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_zip__eq__conv-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16986)), _u16987) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16988)), _u16989)) | ( hAPP(hAPP(c_List_Ozip(_u16986, _u16988), _u16987), _u16989) != _u16990) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u16986, _u16988), _u16986), c_Product__Type_Ofst(_u16986, _u16988)), _u16990) = _u16987) )).
% 19.51/19.73 cnf(fact_zip__eq__conv-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16986)), _u16987) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16988)), _u16989)) | ( hAPP(hAPP(c_List_Ozip(_u16986, _u16988), _u16987), _u16989) != _u16990) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u16986, _u16988), _u16988), c_Product__Type_Osnd(_u16986, _u16988)), _u16990) = _u16989) )).
% 19.51/19.73 cnf(fact_zip__eq__conv-3, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16986)), _u16987) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16988)), _u16989)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u16986, _u16988), _u16986), c_Product__Type_Ofst(_u16986, _u16988)), _u16990) != _u16987) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u16986, _u16988), _u16988), c_Product__Type_Osnd(_u16986, _u16988)), _u16990) != _u16989) | ( hAPP(hAPP(c_List_Ozip(_u16986, _u16988), _u16987), _u16989) = _u16990) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__size__conv__listsum ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__size__conv__listsum-1, axiom, ( ( c_List_Olist_Olist__size(_u16991, _u16992, _u16993) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(_u16991, tc_Nat_Onat), _u16992), _u16993))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16991)), _u16993))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_code__numeral__not__eq__zero ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_code__numeral__not__eq__zero-1, axiom, ( ( _u16995 = hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u16995)) )).
% 19.51/19.73 cnf(fact_code__numeral__not__eq__zero-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u16996)) | ( _u16996 != hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_setsum__set__upto__conv__listsum__int ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_setsum__set__upto__conv__listsum__int-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u16997) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u16997), _u16998), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u16999, _u17000))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u16997), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u16997), _u16998), c_List_Oupto(_u16999, _u17000)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_interv__listsum__conv__setsum__set__int ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_interv__listsum__conv__setsum__set__int-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17001) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17001), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u17001), _u17002), c_List_Oupto(_u17003, _u17004))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u17001), _u17002), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17003, _u17004)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_select__weight__member ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_select__weight__member-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17005), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u17005)), _u17006)))) | hBOOL(hAPP(hAPP(c_member(_u17005), hAPP(c_Product__Type_Ofst(_u17005, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect__weight(_u17005, _u17006), _u17007))), hAPP(c_List_Oset(_u17005), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17005), _u17005), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u17005)), _u17006)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_select__weight__def ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_select__weight__def-1, axiom, ( ( c_Random_Oselect__weight(_u17008, _u17009) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_Code__Numeral_Ocode__numeral, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u17008, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random_Orange(hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17008), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u17008)), _u17009)))), hAPP(hAPP(c_COMBB(_u17008, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u17008, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u17008, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random_Opick(_u17008, _u17009)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_select__def ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_select__def-1, axiom, ( ( c_Random_Oselect(_u17010, _u17011) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_Code__Numeral_Ocode__numeral, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u17010, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random_Orange(hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17010)), _u17011)))), hAPP(hAPP(c_COMBB(_u17010, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u17010, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u17010, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u17010, tc_Code__Numeral_Ocode__numeral), hAPP(c_List_Onth(_u17010), _u17011)), c_Code__Numeral_Onat__of)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listsum__mono ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listsum__mono-1, axiom, ( ~class_Groups_Omonoid__add(_u17013) | ~class_Groups_Oordered__ab__semigroup__add(_u17013) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17013), hAPP(c_List_Omonoid__add__class_Olistsum(_u17013), hAPP(hAPP(c_List_Omap(_u17014, _u17013), _u17016), _u17015))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17013), hAPP(hAPP(c_List_Omap(_u17014, _u17013), _u17017), _u17015)))) | hBOOL(hAPP(hAPP(c_member(_u17014), skolem428(_u17017, _u17016, _u17015, _u17014, _u17013)), hAPP(c_List_Oset(_u17014), _u17015))) )).
% 19.51/19.73 cnf(fact_listsum__mono-2, axiom, ( ~class_Groups_Omonoid__add(_u17013) | ~class_Groups_Oordered__ab__semigroup__add(_u17013) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17013), hAPP(c_List_Omonoid__add__class_Olistsum(_u17013), hAPP(hAPP(c_List_Omap(_u17014, _u17013), _u17016), _u17015))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17013), hAPP(hAPP(c_List_Omap(_u17014, _u17013), _u17017), _u17015)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17013), hAPP(_u17016, skolem428(_u17017, _u17016, _u17015, _u17014, _u17013))), hAPP(_u17017, skolem428(_u17017, _u17016, _u17015, _u17014, _u17013)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_nat__of__of__nat ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_nat__of__of__nat-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Code__Numeral_Oof__nat, _u17018)) = _u17018) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_of__nat__nat__of ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_of__nat__nat__of-1, axiom, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u17019)) = _u17019) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_nat__of__inverse ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_nat__of__inverse-1, axiom, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u17020)) = _u17020) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_code__numeral_Onat__of__inject ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_code__numeral_Onat__of__inject-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, _u17023) != hAPP(c_Code__Numeral_Onat__of, _u17025)) | ( _u17023 = _u17025) )).
% 19.51/19.73 cnf(fact_code__numeral_Onat__of__inject-2, axiom, ( ( _u17024 != _u17026) | ( hAPP(c_Code__Numeral_Onat__of, _u17024) = hAPP(c_Code__Numeral_Onat__of, _u17026)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_Code__Numeral_Onat__of__inject ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_Code__Numeral_Onat__of__inject-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, _u17029) != hAPP(c_Code__Numeral_Onat__of, _u17031)) | ( _u17029 = _u17031) )).
% 19.51/19.73 cnf(fact_Code__Numeral_Onat__of__inject-2, axiom, ( ( _u17030 != _u17032) | ( hAPP(c_Code__Numeral_Onat__of, _u17030) = hAPP(c_Code__Numeral_Onat__of, _u17032)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_times__code__numeral__def ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_times__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), _u17033), _u17034) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17033)), hAPP(c_Code__Numeral_Onat__of, _u17034)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_type__definition__code__numeral ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_type__definition__code__numeral-1, axiom, ( c_Typedef_Otype__definition(tc_Code__Numeral_Ocode__numeral, tc_Nat_Onat, c_Code__Numeral_Onat__of, c_Code__Numeral_Oof__nat, c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_less__code__numeral__def ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_less__code__numeral__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17037), _u17039)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17037)), hAPP(c_Code__Numeral_Onat__of, _u17039))) )).
% 19.51/19.73 cnf(fact_less__code__numeral__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17038)), hAPP(c_Code__Numeral_Onat__of, _u17040))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17038), _u17040)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_nat__of ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_nat__of-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17041)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_nat__of__number ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_nat__of__number-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), _u17042)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17042)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_int__of__def ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_int__of__def-1, axiom, ( ( c_Code__Numeral_Oint__of = hAPP(c_Fun_Ocomp(tc_Nat_Onat, tc_Int_Oint, tc_Code__Numeral_Ocode__numeral, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), c_Code__Numeral_Onat__of)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_less__eq__code__numeral__def ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_less__eq__code__numeral__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u17045), _u17047)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17045)), hAPP(c_Code__Numeral_Onat__of, _u17047))) )).
% 19.51/19.73 cnf(fact_less__eq__code__numeral__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17046)), hAPP(c_Code__Numeral_Onat__of, _u17048))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u17046), _u17048)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_nat__of__code ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_nat__of__code-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, _u17049) = c_Code__Numeral_Onat__of__aux(_u17049, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_nat__of__aux__def ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_nat__of__aux__def-1, axiom, ( ( c_Code__Numeral_Onat__of__aux(_u17050, _u17051) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17050)), _u17051)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_Suc__code__numeral__def ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_Suc__code__numeral__def-1, axiom, ( ( c_Code__Numeral_OSuc__code__numeral(_u17052) = hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Nat_OSuc, hAPP(c_Code__Numeral_Onat__of, _u17052)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_minus__code__numeral__def ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_minus__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u17053), _u17054) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17053)), hAPP(c_Code__Numeral_Onat__of, _u17054)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_of__nat__inverse ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_of__nat__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17055), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Code__Numeral_Oof__nat, _u17055)) = _u17055) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_plus__code__numeral__def ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_plus__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u17056), _u17057) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17056)), hAPP(c_Code__Numeral_Onat__of, _u17057)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_div__code__numeral__def ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_div__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u17058), _u17059) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17058)), hAPP(c_Code__Numeral_Onat__of, _u17059)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_mod__code__numeral__def ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_mod__code__numeral__def-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u17060, _u17061) = hAPP(c_Code__Numeral_Oof__nat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Code__Numeral_Onat__of, _u17060), hAPP(c_Code__Numeral_Onat__of, _u17061)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_code__numeral__decr ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_code__numeral__decr-1, axiom, ( ( _u17062 = hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17062)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_Code__Numeral_Onat__of, _u17062))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_New__DSequence_Opos__not__seq__def ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_New__DSequence_Opos__not__seq__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__not__seq(_u17063), _u17064) = c_Lazy__Sequence_Ohb__not__seq(hAPP(_u17063, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))), _u17064)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_partition__set ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_partition__set-1, axiom, ( ( c_List_Opartition(_u17065, _u17066, _u17067) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17065), tc_List_Olist(_u17065)), _u17068), _u17069)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17065, tc_HOL_Obool)), hAPP(c_List_Oset(_u17065), _u17068)), hAPP(c_List_Oset(_u17065), _u17069)) = hAPP(c_List_Oset(_u17065), _u17067)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_partition__P ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_partition__P-1, axiom, ( ( c_List_Opartition(_u17072, _u17073, _u17074) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17072), tc_List_Olist(_u17072)), _u17075), _u17076)) | ~hBOOL(hAPP(hAPP(c_member(_u17072), _u17070), hAPP(c_List_Oset(_u17072), _u17075))) | hBOOL(hAPP(_u17073, _u17070)) )).
% 19.51/19.73 cnf(fact_partition__P-2, axiom, ( ( c_List_Opartition(_u17072, _u17073, _u17074) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17072), tc_List_Olist(_u17072)), _u17075), _u17076)) | ~hBOOL(hAPP(hAPP(c_member(_u17072), _u17071), hAPP(c_List_Oset(_u17072), _u17076))) | ~hBOOL(hAPP(_u17073, _u17071)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_partition_Osimps_I1_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_partition_Osimps_I1_J-1, axiom, ( ( c_List_Opartition(_u17077, _u17078, c_List_Olist_ONil(_u17077)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17077), tc_List_Olist(_u17077)), c_List_Olist_ONil(_u17077)), c_List_Olist_ONil(_u17077))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_partition_Osimps_I2_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_partition_Osimps_I2_J-1, axiom, ( ( c_List_Opartition(_u17079, _u17080, hAPP(hAPP(c_List_Olist_OCons(_u17079), _u17081), _u17082)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17079), tc_List_Olist(_u17079), tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17079), tc_fun(tc_List_Olist(_u17079), tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079))), tc_fun(tc_List_Olist(_u17079), tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17079), tc_fun(tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079)), tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079)))), tc_fun(tc_fun(tc_List_Olist(_u17079), tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079))), tc_fun(tc_List_Olist(_u17079), tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079)))), tc_List_Olist(_u17079)), c_COMBS(tc_List_Olist(_u17079), tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079)), tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17079), tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079))), tc_fun(tc_List_Olist(_u17079), tc_fun(tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079)), tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079)))), tc_List_Olist(_u17079)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079)), tc_fun(tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079)), tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079))), tc_List_Olist(_u17079)), hAPP(c_If(tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079))), hAPP(_u17080, _u17081)))), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17079), tc_fun(tc_List_Olist(_u17079), tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079))), tc_List_Olist(_u17079)), c_Product__Type_OPair(tc_List_Olist(_u17079), tc_List_Olist(_u17079))), hAPP(c_List_Olist_OCons(_u17079), _u17081))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17079), tc_fun(tc_List_Olist(_u17079), tc_List_Olist(_u17079)), tc_fun(tc_List_Olist(_u17079), tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17079), tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079))), tc_fun(tc_fun(tc_List_Olist(_u17079), tc_List_Olist(_u17079)), tc_fun(tc_List_Olist(_u17079), tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079)))), tc_List_Olist(_u17079)), c_COMBB(tc_List_Olist(_u17079), tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079)), tc_List_Olist(_u17079))), c_Product__Type_OPair(tc_List_Olist(_u17079), tc_List_Olist(_u17079)))), hAPP(c_List_Olist_OCons(_u17079), _u17081)))), c_List_Opartition(_u17079, _u17080, _u17082))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_lists__IntI ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_lists__IntI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17083)), _u17084), c_List_Olists(_u17083, _u17085))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17083)), _u17084), c_List_Olists(_u17083, _u17086))) | hBOOL(hAPP(c_List_Olistsp(_u17083, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17083, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u17083, tc_fun(_u17083, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17083)), _u17085)), hAPP(hAPP(c_COMBC(_u17083, tc_fun(_u17083, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17083)), _u17086))), _u17084)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_lists__Int__eq ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_lists__Int__eq-1, axiom, ( ( c_List_Olistsp(_u17087, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17087, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u17087, tc_fun(_u17087, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17087)), _u17088)), hAPP(hAPP(c_COMBC(_u17087, tc_fun(_u17087, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17087)), _u17089))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(_u17087), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17087), tc_fun(tc_List_Olist(_u17087), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u17087))), c_List_Olists(_u17087, _u17088))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17087), tc_fun(tc_List_Olist(_u17087), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u17087))), c_List_Olists(_u17087, _u17089)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listsp_ONil ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listsp_ONil-1, axiom, ( hBOOL(hAPP(c_List_Olistsp(_u17090, _u17091), c_List_Olist_ONil(_u17090))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listsp_Oequations_I1_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listsp_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(c_List_Olistsp(_u17092, _u17093), c_List_Olist_ONil(_u17092))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_in__listsp__conv__set ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_in__listsp__conv__set-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17099, _u17101), _u17103)) | ~hBOOL(hAPP(hAPP(c_member(_u17099), _u17094), hAPP(c_List_Oset(_u17099), _u17103))) | hBOOL(hAPP(_u17101, _u17094)) )).
% 19.51/19.73 cnf(fact_in__listsp__conv__set-2, axiom, ( hBOOL(hAPP(c_List_Olistsp(_u17100, _u17102), _u17104)) | hBOOL(hAPP(hAPP(c_member(_u17100), skolem429(_u17104, _u17102, _u17100)), hAPP(c_List_Oset(_u17100), _u17104))) )).
% 19.51/19.73 cnf(fact_in__listsp__conv__set-3, axiom, ( hBOOL(hAPP(c_List_Olistsp(_u17100, _u17102), _u17104)) | ~hBOOL(hAPP(_u17102, skolem429(_u17104, _u17102, _u17100))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listsp__conj__eq ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listsp__conj__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17109, hAPP(hAPP(c_COMBS(_u17109, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17109), c_fconj), _u17111)), _u17113)), _u17115)) | hBOOL(hAPP(c_List_Olistsp(_u17109, _u17111), _u17115)) )).
% 19.51/19.73 cnf(fact_listsp__conj__eq-2, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17109, hAPP(hAPP(c_COMBS(_u17109, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17109), c_fconj), _u17111)), _u17113)), _u17115)) | hBOOL(hAPP(c_List_Olistsp(_u17109, _u17113), _u17115)) )).
% 19.51/19.73 cnf(fact_listsp__conj__eq-3, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17110, _u17112), _u17116)) | ~hBOOL(hAPP(c_List_Olistsp(_u17110, _u17114), _u17116)) | hBOOL(hAPP(c_List_Olistsp(_u17110, hAPP(hAPP(c_COMBS(_u17110, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17110), c_fconj), _u17112)), _u17114)), _u17116)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listsp__inf__eq ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listsp__inf__eq-1, axiom, ( ( c_List_Olistsp(_u17117, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17117, tc_HOL_Obool)), _u17118), _u17119)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(_u17117), tc_HOL_Obool)), c_List_Olistsp(_u17117, _u17118)), c_List_Olistsp(_u17117, _u17119))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listsp__infI ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listsp__infI-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17120, _u17121), _u17122)) | ~hBOOL(hAPP(c_List_Olistsp(_u17120, _u17123), _u17122)) | hBOOL(hAPP(c_List_Olistsp(_u17120, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17120, tc_HOL_Obool)), _u17121), _u17123)), _u17122)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listsp_Oequations_I2_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listsp_Oequations_I2_J-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17128, _u17130), hAPP(hAPP(c_List_Olist_OCons(_u17128), _u17132), _u17134))) | hBOOL(hAPP(_u17130, _u17132)) )).
% 19.51/19.73 cnf(fact_listsp_Oequations_I2_J-2, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17128, _u17130), hAPP(hAPP(c_List_Olist_OCons(_u17128), _u17132), _u17134))) | hBOOL(hAPP(c_List_Olistsp(_u17128, _u17130), _u17134)) )).
% 19.51/19.73 cnf(fact_listsp_Oequations_I2_J-3, axiom, ( ~hBOOL(hAPP(_u17131, _u17133)) | ~hBOOL(hAPP(c_List_Olistsp(_u17129, _u17131), _u17135)) | hBOOL(hAPP(c_List_Olistsp(_u17129, _u17131), hAPP(hAPP(c_List_Olist_OCons(_u17129), _u17133), _u17135))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_append__in__listsp__conv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_append__in__listsp__conv-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17140, _u17142), hAPP(hAPP(c_List_Oappend(_u17140), _u17144), _u17146))) | hBOOL(hAPP(c_List_Olistsp(_u17140, _u17142), _u17144)) )).
% 19.51/19.73 cnf(fact_append__in__listsp__conv-2, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17140, _u17142), hAPP(hAPP(c_List_Oappend(_u17140), _u17144), _u17146))) | hBOOL(hAPP(c_List_Olistsp(_u17140, _u17142), _u17146)) )).
% 19.51/19.73 cnf(fact_append__in__listsp__conv-3, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17141, _u17143), _u17145)) | ~hBOOL(hAPP(c_List_Olistsp(_u17141, _u17143), _u17147)) | hBOOL(hAPP(c_List_Olistsp(_u17141, _u17143), hAPP(hAPP(c_List_Oappend(_u17141), _u17145), _u17147))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listsp__mono ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listsp__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17148, tc_HOL_Obool)), _u17149), _u17150)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u17148), tc_HOL_Obool)), c_List_Olistsp(_u17148, _u17149)), c_List_Olistsp(_u17148, _u17150))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listsp__lists__eq ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listsp__lists__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17154, hAPP(hAPP(c_COMBC(_u17154, tc_fun(_u17154, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17154)), _u17156)), _u17158)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17154)), _u17158), c_List_Olists(_u17154, _u17156))) )).
% 19.51/19.73 cnf(fact_listsp__lists__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17155)), _u17159), c_List_Olists(_u17155, _u17157))) | hBOOL(hAPP(c_List_Olistsp(_u17155, hAPP(hAPP(c_COMBC(_u17155, tc_fun(_u17155, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17155)), _u17157)), _u17159)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_product_Osimps_I2_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_product_Osimps_I2_J-1, axiom, ( ( c_Enum_Oproduct(_u17160, _u17161, hAPP(hAPP(c_List_Olist_OCons(_u17160), _u17162), _u17163), _u17164) = hAPP(hAPP(c_List_Oappend(tc_prod(_u17160, _u17161)), hAPP(hAPP(c_List_Omap(_u17161, tc_prod(_u17160, _u17161)), hAPP(c_Product__Type_OPair(_u17160, _u17161), _u17162)), _u17164)), c_Enum_Oproduct(_u17160, _u17161, _u17163, _u17164))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__all2__def ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__all2__def-1, axiom, ( ~c_List_Olist__all2(_u17172, _u17174, _u17176, _u17178, _u17180) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17172)), _u17178) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17174)), _u17180)) )).
% 19.51/19.73 cnf(fact_list__all2__def-2, axiom, ( ~c_List_Olist__all2(_u17172, _u17174, _u17176, _u17178, _u17180) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17172, _u17174)), _u17165), hAPP(c_List_Oset(tc_prod(_u17172, _u17174)), hAPP(hAPP(c_List_Ozip(_u17172, _u17174), _u17178), _u17180)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17172, _u17174, tc_HOL_Obool), _u17176), _u17165)) )).
% 19.51/19.73 cnf(fact_list__all2__def-3, axiom, ( c_List_Olist__all2(_u17173, _u17175, _u17177, _u17179, _u17181) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17173)), _u17179) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17175)), _u17181)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17173, _u17175)), skolem430(_u17181, _u17179, _u17177, _u17175, _u17173)), hAPP(c_List_Oset(tc_prod(_u17173, _u17175)), hAPP(hAPP(c_List_Ozip(_u17173, _u17175), _u17179), _u17181)))) )).
% 19.51/19.73 cnf(fact_list__all2__def-4, axiom, ( c_List_Olist__all2(_u17173, _u17175, _u17177, _u17179, _u17181) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17173)), _u17179) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17175)), _u17181)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17173, _u17175, tc_HOL_Obool), _u17177), skolem430(_u17181, _u17179, _u17177, _u17175, _u17173))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__all2__map1 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__all2__map1-1, axiom, ( ~c_List_Olist__all2(_u17189, _u17191, _u17193, hAPP(hAPP(c_List_Omap(_u17195, _u17189), _u17197), _u17199), _u17201) | c_List_Olist__all2(_u17195, _u17191, hAPP(hAPP(c_COMBB(_u17189, tc_fun(_u17191, tc_HOL_Obool), _u17195), _u17193), _u17197), _u17199, _u17201) )).
% 19.51/19.73 cnf(fact_list__all2__map1-2, axiom, ( ~c_List_Olist__all2(_u17196, _u17192, hAPP(hAPP(c_COMBB(_u17190, tc_fun(_u17192, tc_HOL_Obool), _u17196), _u17194), _u17198), _u17200, _u17202) | c_List_Olist__all2(_u17190, _u17192, _u17194, hAPP(hAPP(c_List_Omap(_u17196, _u17190), _u17198), _u17200), _u17202) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__all2__map2 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__all2__map2-1, axiom, ( ~c_List_Olist__all2(_u17210, _u17212, _u17214, _u17216, hAPP(hAPP(c_List_Omap(_u17218, _u17212), _u17220), _u17222)) | c_List_Olist__all2(_u17210, _u17218, hAPP(hAPP(c_COMBC(_u17210, tc_fun(_u17218, _u17212), tc_fun(_u17218, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17212, tc_HOL_Obool), tc_fun(tc_fun(_u17218, _u17212), tc_fun(_u17218, tc_HOL_Obool)), _u17210), c_COMBB(_u17212, tc_HOL_Obool, _u17218)), _u17214)), _u17220), _u17216, _u17222) )).
% 19.51/19.73 cnf(fact_list__all2__map2-2, axiom, ( ~c_List_Olist__all2(_u17211, _u17219, hAPP(hAPP(c_COMBC(_u17211, tc_fun(_u17219, _u17213), tc_fun(_u17219, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17213, tc_HOL_Obool), tc_fun(tc_fun(_u17219, _u17213), tc_fun(_u17219, tc_HOL_Obool)), _u17211), c_COMBB(_u17213, tc_HOL_Obool, _u17219)), _u17215)), _u17221), _u17217, _u17223) | c_List_Olist__all2(_u17211, _u17213, _u17215, _u17217, hAPP(hAPP(c_List_Omap(_u17219, _u17213), _u17221), _u17223)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__all2__dropI ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__all2__dropI-1, axiom, ( ~c_List_Olist__all2(_u17224, _u17225, _u17226, _u17227, _u17228) | c_List_Olist__all2(_u17224, _u17225, _u17226, hAPP(hAPP(c_List_Odrop(_u17224), _u17229), _u17227), hAPP(hAPP(c_List_Odrop(_u17225), _u17229), _u17228)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__all2__appendI ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__all2__appendI-1, axiom, ( ~c_List_Olist__all2(_u17230, _u17231, _u17232, _u17233, _u17234) | ~c_List_Olist__all2(_u17230, _u17231, _u17232, _u17235, _u17236) | c_List_Olist__all2(_u17230, _u17231, _u17232, hAPP(hAPP(c_List_Oappend(_u17230), _u17233), _u17235), hAPP(hAPP(c_List_Oappend(_u17231), _u17234), _u17236)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__all2__append ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__all2__append-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17237)), _u17238) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17239)), _u17240)) | ~c_List_Olist__all2(_u17237, _u17239, _u17241, hAPP(hAPP(c_List_Oappend(_u17237), _u17238), _u17242), hAPP(hAPP(c_List_Oappend(_u17239), _u17240), _u17243)) | c_List_Olist__all2(_u17237, _u17239, _u17241, _u17238, _u17240) )).
% 19.51/19.73 cnf(fact_list__all2__append-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17237)), _u17238) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17239)), _u17240)) | ~c_List_Olist__all2(_u17237, _u17239, _u17241, hAPP(hAPP(c_List_Oappend(_u17237), _u17238), _u17242), hAPP(hAPP(c_List_Oappend(_u17239), _u17240), _u17243)) | c_List_Olist__all2(_u17237, _u17239, _u17241, _u17242, _u17243) )).
% 19.51/19.73 cnf(fact_list__all2__append-3, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17237)), _u17238) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17239)), _u17240)) | ~c_List_Olist__all2(_u17237, _u17239, _u17241, _u17238, _u17240) | ~c_List_Olist__all2(_u17237, _u17239, _u17241, _u17242, _u17243) | c_List_Olist__all2(_u17237, _u17239, _u17241, hAPP(hAPP(c_List_Oappend(_u17237), _u17238), _u17242), hAPP(hAPP(c_List_Oappend(_u17239), _u17240), _u17243)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__all2__Cons ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__all2__Cons-1, axiom, ( ~c_List_Olist__all2(_u17251, _u17253, _u17255, hAPP(hAPP(c_List_Olist_OCons(_u17251), _u17257), _u17259), hAPP(hAPP(c_List_Olist_OCons(_u17253), _u17261), _u17263)) | hBOOL(hAPP(hAPP(_u17255, _u17257), _u17261)) )).
% 19.51/19.73 cnf(fact_list__all2__Cons-2, axiom, ( ~c_List_Olist__all2(_u17251, _u17253, _u17255, hAPP(hAPP(c_List_Olist_OCons(_u17251), _u17257), _u17259), hAPP(hAPP(c_List_Olist_OCons(_u17253), _u17261), _u17263)) | c_List_Olist__all2(_u17251, _u17253, _u17255, _u17259, _u17263) )).
% 19.51/19.73 cnf(fact_list__all2__Cons-3, axiom, ( ~hBOOL(hAPP(hAPP(_u17256, _u17258), _u17262)) | ~c_List_Olist__all2(_u17252, _u17254, _u17256, _u17260, _u17264) | c_List_Olist__all2(_u17252, _u17254, _u17256, hAPP(hAPP(c_List_Olist_OCons(_u17252), _u17258), _u17260), hAPP(hAPP(c_List_Olist_OCons(_u17254), _u17262), _u17264)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__all2__takeI ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__all2__takeI-1, axiom, ( ~c_List_Olist__all2(_u17265, _u17266, _u17267, _u17268, _u17269) | c_List_Olist__all2(_u17265, _u17266, _u17267, hAPP(hAPP(c_List_Otake(_u17265), _u17270), _u17268), hAPP(hAPP(c_List_Otake(_u17266), _u17270), _u17269)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__all2__eq ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__all2__eq-1, axiom, ( ( _u17274 != _u17276) | c_List_Olist__all2(_u17278, _u17278, c_fequal, _u17274, _u17276) )).
% 19.51/19.73 cnf(fact_list__all2__eq-2, axiom, ( ~c_List_Olist__all2(_u17279, _u17279, c_fequal, _u17275, _u17277) | ( _u17275 = _u17277) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__all2__lengthD ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__all2__lengthD-1, axiom, ( ~c_List_Olist__all2(_u17280, _u17281, _u17282, _u17283, _u17284) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17280)), _u17283) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17281)), _u17284)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__all2__Nil2 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__all2__Nil2-1, axiom, ( ~c_List_Olist__all2(_u17289, _u17291, _u17293, _u17295, c_List_Olist_ONil(_u17291)) | ( _u17295 = c_List_Olist_ONil(_u17289)) )).
% 19.51/19.73 cnf(fact_list__all2__Nil2-2, axiom, ( ( _u17296 != c_List_Olist_ONil(_u17290)) | c_List_Olist__all2(_u17290, _u17292, _u17294, _u17296, c_List_Olist_ONil(_u17292)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__all2__Nil ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__all2__Nil-1, axiom, ( ( _u17307 = c_List_Olist_ONil(_u17303)) | ~c_List_Olist__all2(_u17301, _u17303, _u17305, c_List_Olist_ONil(_u17301), _u17307) )).
% 19.51/19.73 cnf(fact_list__all2__Nil-2, axiom, ( ( _u17308 != c_List_Olist_ONil(_u17304)) | c_List_Olist__all2(_u17302, _u17304, _u17306, c_List_Olist_ONil(_u17302), _u17308) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_product_Osimps_I1_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_product_Osimps_I1_J-1, axiom, ( ( c_Enum_Oproduct(_u17309, _u17310, c_List_Olist_ONil(_u17309), _u17311) = c_List_Olist_ONil(tc_prod(_u17309, _u17310))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__all2__nthD2 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__all2__nthD2-1, axiom, ( ~c_List_Olist__all2(_u17312, _u17313, _u17314, _u17315, _u17316) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17317), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17313)), _u17316))) | hBOOL(hAPP(hAPP(_u17314, hAPP(hAPP(c_List_Onth(_u17312), _u17315), _u17317)), hAPP(hAPP(c_List_Onth(_u17313), _u17316), _u17317))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__all2__nthD ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__all2__nthD-1, axiom, ( ~c_List_Olist__all2(_u17318, _u17319, _u17320, _u17321, _u17322) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17323), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17318)), _u17321))) | hBOOL(hAPP(hAPP(_u17320, hAPP(hAPP(c_List_Onth(_u17318), _u17321), _u17323)), hAPP(hAPP(c_List_Onth(_u17319), _u17322), _u17323))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__all2__conv__all__nth ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__all2__conv__all__nth-1, axiom, ( ~c_List_Olist__all2(_u17331, _u17333, _u17335, _u17337, _u17339) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17331)), _u17337) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17333)), _u17339)) )).
% 19.51/19.73 cnf(fact_list__all2__conv__all__nth-2, axiom, ( ~c_List_Olist__all2(_u17331, _u17333, _u17335, _u17337, _u17339) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17324), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17331)), _u17337))) | hBOOL(hAPP(hAPP(_u17335, hAPP(hAPP(c_List_Onth(_u17331), _u17337), _u17324)), hAPP(hAPP(c_List_Onth(_u17333), _u17339), _u17324))) )).
% 19.51/19.73 cnf(fact_list__all2__conv__all__nth-3, axiom, ( c_List_Olist__all2(_u17332, _u17334, _u17336, _u17338, _u17340) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17332)), _u17338) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17334)), _u17340)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem431(_u17340, _u17338, _u17336, _u17334, _u17332)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17332)), _u17338))) )).
% 19.51/19.73 cnf(fact_list__all2__conv__all__nth-4, axiom, ( c_List_Olist__all2(_u17332, _u17334, _u17336, _u17338, _u17340) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17332)), _u17338) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17334)), _u17340)) | ~hBOOL(hAPP(hAPP(_u17336, hAPP(hAPP(c_List_Onth(_u17332), _u17338), skolem431(_u17340, _u17338, _u17336, _u17334, _u17332))), hAPP(hAPP(c_List_Onth(_u17334), _u17340), skolem431(_u17340, _u17338, _u17336, _u17334, _u17332)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__all2__update__cong2 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__all2__update__cong2-1, axiom, ( ~c_List_Olist__all2(_u17341, _u17342, _u17343, _u17344, _u17345) | ~hBOOL(hAPP(hAPP(_u17343, _u17346), _u17347)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17348), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17342)), _u17345))) | c_List_Olist__all2(_u17341, _u17342, _u17343, hAPP(hAPP(c_List_Olist__update(_u17341, _u17344), _u17348), _u17346), hAPP(hAPP(c_List_Olist__update(_u17342, _u17345), _u17348), _u17347)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__all2__update__cong ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__all2__update__cong-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17349), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17350)), _u17351))) | ~c_List_Olist__all2(_u17350, _u17352, _u17353, _u17351, _u17354) | ~hBOOL(hAPP(hAPP(_u17353, _u17355), _u17356)) | c_List_Olist__all2(_u17350, _u17352, _u17353, hAPP(hAPP(c_List_Olist__update(_u17350, _u17351), _u17349), _u17355), hAPP(hAPP(c_List_Olist__update(_u17352, _u17354), _u17349), _u17356)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_distinct__product ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_distinct__product-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17357), _u17358)) | ~hBOOL(hAPP(c_List_Odistinct(_u17359), _u17360)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u17357, _u17359)), c_Enum_Oproduct(_u17357, _u17359, _u17358, _u17360))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_product__list__set ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_product__list__set-1, axiom, ( ( hAPP(c_List_Oset(tc_prod(_u17361, _u17362)), c_Enum_Oproduct(_u17361, _u17362, _u17363, _u17364)) = hAPP(hAPP(c_Product__Type_OSigma(_u17361, _u17362), hAPP(c_List_Oset(_u17361), _u17363)), hAPP(c_COMBK(tc_fun(_u17362, tc_HOL_Obool), _u17361), hAPP(c_List_Oset(_u17362), _u17364)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sublists__powset ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sublists__powset-1, axiom, ( ( hAPP(c_Set_Oimage(tc_List_Olist(_u17365), tc_fun(_u17365, tc_HOL_Obool), c_List_Oset(_u17365)), hAPP(c_List_Oset(tc_List_Olist(_u17365)), c_Enum_Osublists(_u17365, _u17366))) = hAPP(c_Set_OPow(_u17365), hAPP(c_List_Oset(_u17365), _u17366))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_length__sublists ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_length__sublists-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17367))), c_Enum_Osublists(_u17367, _u17368)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17367)), _u17368))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sublists_Osimps_I1_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sublists_Osimps_I1_J-1, axiom, ( ( c_Enum_Osublists(_u17369, c_List_Olist_ONil(_u17369)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17369)), c_List_Olist_ONil(_u17369)), c_List_Olist_ONil(tc_List_Olist(_u17369)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sublists_Osimps_I2_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sublists_Osimps_I2_J-1, axiom, ( ( c_Enum_Osublists(_u17370, hAPP(hAPP(c_List_Olist_OCons(_u17370), _u17371), _u17372)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(_u17370)), tc_List_Olist(tc_List_Olist(_u17370))), c_Enum_Osublists(_u17370, _u17372)), hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(_u17370)), tc_List_Olist(tc_List_Olist(_u17370)), tc_List_Olist(tc_List_Olist(_u17370))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(_u17370)), tc_fun(tc_List_Olist(tc_List_Olist(_u17370)), tc_List_Olist(tc_List_Olist(_u17370))), tc_List_Olist(tc_List_Olist(_u17370))), c_List_Oappend(tc_List_Olist(_u17370))), hAPP(c_List_Omap(tc_List_Olist(_u17370), tc_List_Olist(_u17370)), hAPP(c_List_Olist_OCons(_u17370), _u17371)))), c_COMBI(tc_List_Olist(tc_List_Olist(_u17370)))))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_distinct__set__sublists ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_distinct__set__sublists-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17373), _u17374)) | hBOOL(hAPP(c_List_Odistinct(tc_fun(_u17373, tc_HOL_Obool)), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17373), tc_fun(_u17373, tc_HOL_Obool)), c_List_Oset(_u17373)), c_Enum_Osublists(_u17373, _u17374)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__n__lists ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__n__lists-1, axiom, ( ( hAPP(c_List_Oset(tc_List_Olist(_u17375)), c_Enum_On__lists(_u17375, _u17376, _u17377)) = hAPP(c_Set_OCollect(tc_List_Olist(_u17375)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17375), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u17375)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17375), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17375)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17375)))), _u17376))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17375), tc_fun(_u17375, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u17375, tc_HOL_Obool), tc_fun(tc_fun(_u17375, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u17375)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u17375, tc_HOL_Obool))), c_List_Oset(_u17375))), hAPP(c_List_Oset(_u17375), _u17377))))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_enum__the__def ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_enum__the__def-1, axiom, ( ( c_Enum_Oenum__the(_u17378, _u17379) = c_HOL_OThe(_u17378, _u17379)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_distinct__n__lists ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_distinct__n__lists-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17380), _u17381)) | hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u17380)), c_Enum_On__lists(_u17380, _u17382, _u17381))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_n__lists_Osimps_I1_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_n__lists_Osimps_I1_J-1, axiom, ( ( c_Enum_On__lists(_u17383, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u17384) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17383)), c_List_Olist_ONil(_u17383)), c_List_Olist_ONil(tc_List_Olist(_u17383)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_n__lists__Nil ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_n__lists__Nil-1, axiom, ( ( _u17387 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Enum_On__lists(_u17389, _u17387, c_List_Olist_ONil(_u17389)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17389)), c_List_Olist_ONil(_u17389)), c_List_Olist_ONil(tc_List_Olist(_u17389)))) )).
% 19.51/19.73 cnf(fact_n__lists__Nil-2, axiom, ( ( _u17388 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Enum_On__lists(_u17390, _u17388, c_List_Olist_ONil(_u17390)) = c_List_Olist_ONil(tc_List_Olist(_u17390))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_length__n__lists ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_length__n__lists-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17391))), c_Enum_On__lists(_u17391, _u17392, _u17393)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17391)), _u17393)), _u17392)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_length__n__lists__elem ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_length__n__lists__elem-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17394)), _u17395), hAPP(c_List_Oset(tc_List_Olist(_u17394)), c_Enum_On__lists(_u17394, _u17396, _u17397)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17394)), _u17395) = _u17396) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__all2I ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__all2I-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17399)), _u17401) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17400)), _u17402)) | c_List_Olist__all2(_u17399, _u17400, _u17403, _u17401, _u17402) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17399, _u17400)), skolem432(_u17403, _u17402, _u17401, _u17400, _u17399)), hAPP(c_List_Oset(tc_prod(_u17399, _u17400)), hAPP(hAPP(c_List_Ozip(_u17399, _u17400), _u17401), _u17402)))) )).
% 19.51/19.73 cnf(fact_list__all2I-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17399)), _u17401) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17400)), _u17402)) | c_List_Olist__all2(_u17399, _u17400, _u17403, _u17401, _u17402) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17399, _u17400, tc_HOL_Obool), _u17403), skolem432(_u17403, _u17402, _u17401, _u17400, _u17399))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_all__nth__imp__all__set ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_all__nth__imp__all__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17405), _u17408), hAPP(c_List_Oset(_u17405), _u17406))) | hBOOL(hAPP(_u17407, _u17408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem433(_u17408, _u17407, _u17406, _u17405)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17405)), _u17406))) )).
% 19.51/19.73 cnf(fact_all__nth__imp__all__set-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17405), _u17408), hAPP(c_List_Oset(_u17405), _u17406))) | hBOOL(hAPP(_u17407, _u17408)) | ~hBOOL(hAPP(_u17407, hAPP(hAPP(c_List_Onth(_u17405), _u17406), skolem433(_u17408, _u17407, _u17406, _u17405)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_fun__left__comm_Ofold__set__remdups ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_fun__left__comm_Ofold__set__remdups-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u17409, _u17410, _u17411) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u17409, _u17410, _u17411), _u17412), hAPP(c_List_Oset(_u17409), _u17413)) = hAPP(c_List_Ofoldl(_u17410, _u17409, hAPP(c_COMBC(_u17409, _u17410, _u17410), _u17411), _u17412), c_List_Oremdups(_u17409, _u17413))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_map__removeAll__inj__on ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_map__removeAll__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u17414, _u17415, _u17416, hAPP(hAPP(c_Set_Oinsert(_u17414), _u17417), hAPP(c_List_Oset(_u17414), _u17418))) | ( hAPP(hAPP(c_List_Omap(_u17414, _u17415), _u17416), hAPP(c_List_OremoveAll(_u17414, _u17417), _u17418)) = hAPP(c_List_OremoveAll(_u17415, hAPP(_u17416, _u17417)), hAPP(hAPP(c_List_Omap(_u17414, _u17415), _u17416), _u17418))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_distinct__remdups ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_distinct__remdups-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u17419), c_List_Oremdups(_u17419, _u17420))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_length__remdups__leq ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_length__remdups__leq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17421)), c_List_Oremdups(_u17421, _u17422))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17421)), _u17422))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_remdups__id__iff__distinct ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_remdups__id__iff__distinct-1, axiom, ( ( c_List_Oremdups(_u17425, _u17427) != _u17427) | hBOOL(hAPP(c_List_Odistinct(_u17425), _u17427)) )).
% 19.51/19.73 cnf(fact_remdups__id__iff__distinct-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17426), _u17428)) | ( c_List_Oremdups(_u17426, _u17428) = _u17428) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_distinct__removeAll ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_distinct__removeAll-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17429), _u17430)) | hBOOL(hAPP(c_List_Odistinct(_u17429), hAPP(c_List_OremoveAll(_u17429, _u17431), _u17430))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_distinct__remdups__id ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_distinct__remdups__id-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17432), _u17433)) | ( c_List_Oremdups(_u17432, _u17433) = _u17433) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__remdups ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__remdups-1, axiom, ( ( hAPP(c_List_Oset(_u17434), c_List_Oremdups(_u17434, _u17435)) = hAPP(c_List_Oset(_u17434), _u17435)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_length__remdups__eq ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_length__remdups__eq-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17438)), c_List_Oremdups(_u17438, _u17440)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17438)), _u17440)) | ( c_List_Oremdups(_u17438, _u17440) = _u17440) )).
% 19.51/19.73 cnf(fact_length__remdups__eq-2, axiom, ( ( c_List_Oremdups(_u17439, _u17441) != _u17441) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17439)), c_List_Oremdups(_u17439, _u17441)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17439)), _u17441)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_remdups__remdups ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_remdups__remdups-1, axiom, ( ( c_List_Oremdups(_u17442, c_List_Oremdups(_u17442, _u17443)) = c_List_Oremdups(_u17442, _u17443)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_remdups_Osimps_I1_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_remdups_Osimps_I1_J-1, axiom, ( ( c_List_Oremdups(_u17444, c_List_Olist_ONil(_u17444)) = c_List_Olist_ONil(_u17444)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_remdups__eq__nil__right__iff ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_remdups__eq__nil__right__iff-1, axiom, ( ( c_List_Olist_ONil(_u17447) != c_List_Oremdups(_u17447, _u17449)) | ( _u17449 = c_List_Olist_ONil(_u17447)) )).
% 19.51/19.73 cnf(fact_remdups__eq__nil__right__iff-2, axiom, ( ( _u17450 != c_List_Olist_ONil(_u17448)) | ( c_List_Olist_ONil(_u17448) = c_List_Oremdups(_u17448, _u17450)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_removeAll_Osimps_I1_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_removeAll_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_OremoveAll(_u17451, _u17452), c_List_Olist_ONil(_u17451)) = c_List_Olist_ONil(_u17451)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_remdups__eq__nil__iff ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_remdups__eq__nil__iff-1, axiom, ( ( c_List_Oremdups(_u17455, _u17457) != c_List_Olist_ONil(_u17455)) | ( _u17457 = c_List_Olist_ONil(_u17455)) )).
% 19.51/19.73 cnf(fact_remdups__eq__nil__iff-2, axiom, ( ( _u17458 != c_List_Olist_ONil(_u17456)) | ( c_List_Oremdups(_u17456, _u17458) = c_List_Olist_ONil(_u17456)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_removeAll_Osimps_I2_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_removeAll_Osimps_I2_J-1, axiom, ( ( _u17463 != _u17465) | ( hAPP(c_List_OremoveAll(_u17467, _u17463), hAPP(hAPP(c_List_Olist_OCons(_u17467), _u17465), _u17469)) = hAPP(c_List_OremoveAll(_u17467, _u17463), _u17469)) )).
% 19.51/19.73 cnf(fact_removeAll_Osimps_I2_J-2, axiom, ( ( _u17464 = _u17466) | ( hAPP(c_List_OremoveAll(_u17468, _u17464), hAPP(hAPP(c_List_Olist_OCons(_u17468), _u17466), _u17470)) = hAPP(hAPP(c_List_Olist_OCons(_u17468), _u17466), hAPP(c_List_OremoveAll(_u17468, _u17464), _u17470))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_removeAll__append ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_removeAll__append-1, axiom, ( ( hAPP(c_List_OremoveAll(_u17471, _u17472), hAPP(hAPP(c_List_Oappend(_u17471), _u17473), _u17474)) = hAPP(hAPP(c_List_Oappend(_u17471), hAPP(c_List_OremoveAll(_u17471, _u17472), _u17473)), hAPP(c_List_OremoveAll(_u17471, _u17472), _u17474))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_remdups__map__remdups ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_remdups__map__remdups-1, axiom, ( ( c_List_Oremdups(_u17475, hAPP(hAPP(c_List_Omap(_u17476, _u17475), _u17477), c_List_Oremdups(_u17476, _u17478))) = c_List_Oremdups(_u17475, hAPP(hAPP(c_List_Omap(_u17476, _u17475), _u17477), _u17478))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_remove1__remdups ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_remove1__remdups-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17479), _u17480)) | ( c_List_Oremove1(_u17479, _u17481, c_List_Oremdups(_u17479, _u17480)) = c_List_Oremdups(_u17479, c_List_Oremove1(_u17479, _u17481, _u17480))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_removeAll__id ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_removeAll__id-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17482), _u17483), hAPP(c_List_Oset(_u17482), _u17484))) | ( hAPP(c_List_OremoveAll(_u17482, _u17483), _u17484) = _u17484) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_distinct__remove1__removeAll ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_distinct__remove1__removeAll-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17485), _u17486)) | ( c_List_Oremove1(_u17485, _u17487, _u17486) = hAPP(c_List_OremoveAll(_u17485, _u17487), _u17486)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_remdups_Osimps_I2_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_remdups_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17491), _u17493), hAPP(c_List_Oset(_u17491), _u17495))) | ( c_List_Oremdups(_u17491, hAPP(hAPP(c_List_Olist_OCons(_u17491), _u17493), _u17495)) = c_List_Oremdups(_u17491, _u17495)) )).
% 19.51/19.73 cnf(fact_remdups_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17492), _u17494), hAPP(c_List_Oset(_u17492), _u17496))) | ( c_List_Oremdups(_u17492, hAPP(hAPP(c_List_Olist_OCons(_u17492), _u17494), _u17496)) = hAPP(hAPP(c_List_Olist_OCons(_u17492), _u17494), c_List_Oremdups(_u17492, _u17496))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_length__remdups__card__conv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_length__remdups__card__conv-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17497)), c_List_Oremdups(_u17497, _u17498)) = hAPP(c_Finite__Set_Ocard(_u17497), hAPP(c_List_Oset(_u17497), _u17498))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_map__removeAll__inj ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_map__removeAll__inj-1, axiom, ( ~c_Fun_Oinj__on(_u17499, _u17500, _u17501, c_Orderings_Otop__class_Otop(tc_fun(_u17499, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u17499, _u17500), _u17501), hAPP(c_List_OremoveAll(_u17499, _u17502), _u17503)) = hAPP(c_List_OremoveAll(_u17500, hAPP(_u17501, _u17502)), hAPP(hAPP(c_List_Omap(_u17499, _u17500), _u17501), _u17503))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__removeAll ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__removeAll-1, axiom, ( ( hAPP(c_List_Oset(_u17504), hAPP(c_List_OremoveAll(_u17504, _u17505), _u17506)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17504, tc_HOL_Obool)), hAPP(c_List_Oset(_u17504), _u17506)), hAPP(hAPP(c_Set_Oinsert(_u17504), _u17505), c_Orderings_Obot__class_Obot(tc_fun(_u17504, tc_HOL_Obool))))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_length__remdups__concat ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_length__remdups__concat-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17507)), c_List_Oremdups(_u17507, c_List_Oconcat(_u17507, _u17508))) = hAPP(c_Finite__Set_Ocard(_u17507), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u17507), tc_fun(_u17507, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u17507)), _u17508)), c_List_Oset(_u17507)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__list__of__set__sort__remdups ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__list__of__set__sort__remdups-1, axiom, ( ~class_Orderings_Olinorder(_u17509) | ( c_List_Olinorder__class_Osorted__list__of__set(_u17509, hAPP(c_List_Oset(_u17509), _u17510)) = c_List_Olinorder__class_Osort__key(_u17509, _u17509, c_COMBI(_u17509), c_List_Oremdups(_u17509, _u17510))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_concat__conv__foldl ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_concat__conv__foldl-1, axiom, ( ( c_List_Oconcat(_u17511, _u17512) = hAPP(c_List_Ofoldl(tc_List_Olist(_u17511), tc_List_Olist(_u17511), c_List_Oappend(_u17511), c_List_Olist_ONil(_u17511)), _u17512)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sort__key__simps_I1_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sort__key__simps_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u17513) | ( c_List_Olinorder__class_Osort__key(_u17514, _u17513, _u17515, c_List_Olist_ONil(_u17514)) = c_List_Olist_ONil(_u17514)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_foldl__conv__concat ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_foldl__conv__concat-1, axiom, ( ( hAPP(c_List_Ofoldl(tc_List_Olist(_u17516), tc_List_Olist(_u17516), c_List_Oappend(_u17516), _u17517), _u17518) = hAPP(hAPP(c_List_Oappend(_u17516), _u17517), c_List_Oconcat(_u17516, _u17518))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_length__sort ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_length__sort-1, axiom, ( ~class_Orderings_Olinorder(_u17519) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17520)), c_List_Olinorder__class_Osort__key(_u17520, _u17519, _u17521, _u17522)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17520)), _u17522)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__sort ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__sort-1, axiom, ( ~class_Orderings_Olinorder(_u17523) | ( hAPP(c_List_Oset(_u17524), c_List_Olinorder__class_Osort__key(_u17524, _u17523, _u17525, _u17526)) = hAPP(c_List_Oset(_u17524), _u17526)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_distinct__sort ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_distinct__sort-1, axiom, ( ~class_Orderings_Olinorder(_u17527) | ~hBOOL(hAPP(c_List_Odistinct(_u17528), c_List_Olinorder__class_Osort__key(_u17528, _u17527, _u17529, _u17530))) | hBOOL(hAPP(c_List_Odistinct(_u17528), _u17530)) )).
% 19.51/19.73 cnf(fact_distinct__sort-2, axiom, ( ~class_Orderings_Olinorder(_u17527) | ~hBOOL(hAPP(c_List_Odistinct(_u17528), _u17530)) | hBOOL(hAPP(c_List_Odistinct(_u17528), c_List_Olinorder__class_Osort__key(_u17528, _u17527, _u17529, _u17530))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_concat_Osimps_I1_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_concat_Osimps_I1_J-1, axiom, ( ( c_List_Oconcat(_u17531, c_List_Olist_ONil(tc_List_Olist(_u17531))) = c_List_Olist_ONil(_u17531)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_concat_Osimps_I2_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_concat_Osimps_I2_J-1, axiom, ( ( c_List_Oconcat(_u17532, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17532)), _u17533), _u17534)) = hAPP(hAPP(c_List_Oappend(_u17532), _u17533), c_List_Oconcat(_u17532, _u17534))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_Nil__eq__concat__conv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_Nil__eq__concat__conv-1, axiom, ( ( c_List_Olist_ONil(_u17539) != c_List_Oconcat(_u17539, _u17541)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17539)), _u17535), hAPP(c_List_Oset(tc_List_Olist(_u17539)), _u17541))) | ( _u17535 = c_List_Olist_ONil(_u17539)) )).
% 19.51/19.73 cnf(fact_Nil__eq__concat__conv-2, axiom, ( ( c_List_Olist_ONil(_u17540) = c_List_Oconcat(_u17540, _u17542)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17540)), skolem434(_u17542, _u17540)), hAPP(c_List_Oset(tc_List_Olist(_u17540)), _u17542))) )).
% 19.51/19.73 cnf(fact_Nil__eq__concat__conv-3, axiom, ( ( c_List_Olist_ONil(_u17540) = c_List_Oconcat(_u17540, _u17542)) | ( skolem434(_u17542, _u17540) != c_List_Olist_ONil(_u17540)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_concat__eq__Nil__conv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_concat__eq__Nil__conv-1, axiom, ( ( c_List_Oconcat(_u17547, _u17549) != c_List_Olist_ONil(_u17547)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17547)), _u17543), hAPP(c_List_Oset(tc_List_Olist(_u17547)), _u17549))) | ( _u17543 = c_List_Olist_ONil(_u17547)) )).
% 19.51/19.73 cnf(fact_concat__eq__Nil__conv-2, axiom, ( ( c_List_Oconcat(_u17548, _u17550) = c_List_Olist_ONil(_u17548)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17548)), skolem435(_u17550, _u17548)), hAPP(c_List_Oset(tc_List_Olist(_u17548)), _u17550))) )).
% 19.51/19.73 cnf(fact_concat__eq__Nil__conv-3, axiom, ( ( c_List_Oconcat(_u17548, _u17550) = c_List_Olist_ONil(_u17548)) | ( skolem435(_u17550, _u17548) != c_List_Olist_ONil(_u17548)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_map__concat ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_map__concat-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17551, _u17552), _u17553), c_List_Oconcat(_u17551, _u17554)) = c_List_Oconcat(_u17552, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17551), tc_List_Olist(_u17552)), hAPP(c_List_Omap(_u17551, _u17552), _u17553)), _u17554))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_length__concat ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_length__concat-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17555)), c_List_Oconcat(_u17555, _u17556)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17555), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17555))), _u17556))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__concat ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__concat-1, axiom, ( ( hAPP(c_List_Oset(_u17557), c_List_Oconcat(_u17557, _u17558)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u17557), tc_fun(_u17557, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u17557)), _u17558)), c_List_Oset(_u17557))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sort__key__simps_I2_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sort__key__simps_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u17559) | ( c_List_Olinorder__class_Osort__key(_u17560, _u17559, _u17561, hAPP(hAPP(c_List_Olist_OCons(_u17560), _u17562), _u17563)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17560, _u17559, _u17561), _u17562), c_List_Olinorder__class_Osort__key(_u17560, _u17559, _u17561, _u17563))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_concat__append ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_concat__append-1, axiom, ( ( c_List_Oconcat(_u17564, hAPP(hAPP(c_List_Oappend(tc_List_Olist(_u17564)), _u17565), _u17566)) = hAPP(hAPP(c_List_Oappend(_u17564), c_List_Oconcat(_u17564, _u17565)), c_List_Oconcat(_u17564, _u17566))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sort__foldl__insort ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sort__foldl__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17567) | ( c_List_Olinorder__class_Osort__key(_u17567, _u17567, c_COMBI(_u17567), _u17568) = hAPP(c_List_Ofoldl(tc_List_Olist(_u17567), _u17567, hAPP(c_COMBC(_u17567, tc_List_Olist(_u17567), tc_List_Olist(_u17567)), c_List_Olinorder__class_Oinsort__key(_u17567, _u17567, c_COMBI(_u17567))), c_List_Olist_ONil(_u17567)), _u17568)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_concat__eq__concat__iff ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_concat__eq__concat__iff-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17570), tc_List_Olist(_u17570))), skolem436(_u17572, _u17571, _u17570)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u17570), tc_List_Olist(_u17570))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u17570), tc_List_Olist(_u17570)), _u17571), _u17572)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17570))), _u17571) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17570))), _u17572)) | ( c_List_Oconcat(_u17570, _u17571) != c_List_Oconcat(_u17570, _u17572)) | ( _u17571 = _u17572) )).
% 19.51/19.73 cnf(fact_concat__eq__concat__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17570), tc_List_Olist(_u17570))), skolem436(_u17572, _u17571, _u17570)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u17570), tc_List_Olist(_u17570))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u17570), tc_List_Olist(_u17570)), _u17571), _u17572)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17570))), _u17571) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17570))), _u17572)) | ( _u17571 != _u17572) | ( c_List_Oconcat(_u17570, _u17571) = c_List_Oconcat(_u17570, _u17572)) )).
% 19.51/19.73 cnf(fact_concat__eq__concat__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17570), tc_List_Olist(_u17570), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17570), tc_fun(tc_List_Olist(_u17570), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17570), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17570), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17570), tc_HOL_Obool)), tc_List_Olist(_u17570)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17570))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17570)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17570))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17570)))), skolem436(_u17572, _u17571, _u17570))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17570))), _u17571) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17570))), _u17572)) | ( c_List_Oconcat(_u17570, _u17571) != c_List_Oconcat(_u17570, _u17572)) | ( _u17571 = _u17572) )).
% 19.51/19.73 cnf(fact_concat__eq__concat__iff-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17570), tc_List_Olist(_u17570), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17570), tc_fun(tc_List_Olist(_u17570), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17570), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17570), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17570), tc_HOL_Obool)), tc_List_Olist(_u17570)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17570))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17570)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17570))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17570)))), skolem436(_u17572, _u17571, _u17570))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17570))), _u17571) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17570))), _u17572)) | ( _u17571 != _u17572) | ( c_List_Oconcat(_u17570, _u17571) = c_List_Oconcat(_u17570, _u17572)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_concat__injective ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_concat__injective-1, axiom, ( ( c_List_Oconcat(_u17574, _u17575) != c_List_Oconcat(_u17574, _u17576)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17574))), _u17575) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17574))), _u17576)) | ( _u17575 = _u17576) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17574), tc_List_Olist(_u17574))), skolem437(_u17576, _u17575, _u17574)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u17574), tc_List_Olist(_u17574))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u17574), tc_List_Olist(_u17574)), _u17575), _u17576)))) )).
% 19.51/19.73 cnf(fact_concat__injective-2, axiom, ( ( c_List_Oconcat(_u17574, _u17575) != c_List_Oconcat(_u17574, _u17576)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17574))), _u17575) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17574))), _u17576)) | ( _u17575 = _u17576) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17574), tc_List_Olist(_u17574), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17574), tc_fun(tc_List_Olist(_u17574), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17574), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17574), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17574), tc_HOL_Obool)), tc_List_Olist(_u17574)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17574))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17574)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17574))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17574)))), skolem437(_u17576, _u17575, _u17574))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_concat__map__singleton ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_concat__map__singleton-1, axiom, ( ( c_List_Oconcat(_u17577, hAPP(hAPP(c_List_Omap(_u17578, tc_List_Olist(_u17577)), hAPP(hAPP(c_COMBC(_u17578, tc_List_Olist(_u17577), tc_List_Olist(_u17577)), hAPP(hAPP(c_COMBB(_u17577, tc_fun(tc_List_Olist(_u17577), tc_List_Olist(_u17577)), _u17578), c_List_Olist_OCons(_u17577)), _u17579)), c_List_Olist_ONil(_u17577))), _u17580)) = hAPP(hAPP(c_List_Omap(_u17578, _u17577), _u17579), _u17580)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_n__lists_Osimps_I2_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_n__lists_Osimps_I2_J-1, axiom, ( ( c_Enum_On__lists(_u17581, hAPP(c_Nat_OSuc, _u17582), _u17583) = c_List_Oconcat(tc_List_Olist(_u17581), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17581), tc_List_Olist(tc_List_Olist(_u17581))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17581), tc_List_Olist(_u17581), tc_List_Olist(tc_List_Olist(_u17581))), hAPP(hAPP(c_COMBB(tc_fun(_u17581, tc_List_Olist(_u17581)), tc_fun(tc_List_Olist(_u17581), tc_List_Olist(tc_List_Olist(_u17581))), tc_List_Olist(_u17581)), c_List_Omap(_u17581, tc_List_Olist(_u17581))), hAPP(c_COMBC(_u17581, tc_List_Olist(_u17581), tc_List_Olist(_u17581)), c_List_Olist_OCons(_u17581)))), _u17583)), c_Enum_On__lists(_u17581, _u17582, _u17583)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_transpose_Osimps_I3_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_transpose_Osimps_I3_J-1, axiom, ( ( c_List_Otranspose(_u17584, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17584)), hAPP(hAPP(c_List_Olist_OCons(_u17584), _u17585), _u17586)), _u17587)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17584)), hAPP(hAPP(c_List_Olist_OCons(_u17584), _u17585), c_List_Oconcat(_u17584, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17584), tc_List_Olist(_u17584)), c_List_Olist_Olist__case(tc_List_Olist(_u17584), _u17584, c_List_Olist_ONil(_u17584), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17584), tc_fun(tc_List_Olist(_u17584), tc_List_Olist(_u17584)), _u17584), c_COMBK(tc_List_Olist(_u17584), tc_List_Olist(_u17584))), hAPP(hAPP(c_COMBC(_u17584, tc_List_Olist(_u17584), tc_List_Olist(_u17584)), c_List_Olist_OCons(_u17584)), c_List_Olist_ONil(_u17584))))), _u17587)))), c_List_Otranspose(_u17584, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17584)), _u17586), c_List_Oconcat(tc_List_Olist(_u17584), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17584), tc_List_Olist(tc_List_Olist(_u17584))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u17584)), _u17584, c_List_Olist_ONil(tc_List_Olist(_u17584)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u17584), tc_List_Olist(tc_List_Olist(_u17584))), _u17584), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17584), tc_List_Olist(tc_List_Olist(_u17584)), tc_List_Olist(tc_List_Olist(_u17584))), c_List_Olist_OCons(tc_List_Olist(_u17584))), c_List_Olist_ONil(tc_List_Olist(_u17584)))))), _u17587)))))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_transpose__aux__filter__head ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_transpose__aux__filter__head-1, axiom, ( ( c_List_Oconcat(_u17588, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17588), tc_List_Olist(_u17588)), c_List_Olist_Olist__case(tc_List_Olist(_u17588), _u17588, c_List_Olist_ONil(_u17588), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17588), tc_fun(tc_List_Olist(_u17588), tc_List_Olist(_u17588)), _u17588), c_COMBK(tc_List_Olist(_u17588), tc_List_Olist(_u17588))), hAPP(hAPP(c_COMBC(_u17588, tc_List_Olist(_u17588), tc_List_Olist(_u17588)), c_List_Olist_OCons(_u17588)), c_List_Olist_ONil(_u17588))))), _u17589)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17588), _u17588), c_List_Ohd(_u17588)), hAPP(c_List_Ofilter(tc_List_Olist(_u17588), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17588)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17588), tc_List_Olist(_u17588), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17588)))), _u17589))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_filter__concat ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_filter__concat-1, axiom, ( ( hAPP(c_List_Ofilter(_u17590, _u17591), c_List_Oconcat(_u17590, _u17592)) = c_List_Oconcat(_u17590, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17590), tc_List_Olist(_u17590)), c_List_Ofilter(_u17590, _u17591)), _u17592))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_filter__sort ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_filter__sort-1, axiom, ( ~class_Orderings_Olinorder(_u17593) | ( hAPP(c_List_Ofilter(_u17594, _u17595), c_List_Olinorder__class_Osort__key(_u17594, _u17593, _u17596, _u17597)) = c_List_Olinorder__class_Osort__key(_u17594, _u17593, _u17596, hAPP(c_List_Ofilter(_u17594, _u17595), _u17597))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_distinct__filter ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_distinct__filter-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17598), _u17599)) | hBOOL(hAPP(c_List_Odistinct(_u17598), hAPP(c_List_Ofilter(_u17598, _u17600), _u17599))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sum__length__filter__compl ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sum__length__filter__compl-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17601)), hAPP(c_List_Ofilter(_u17601, _u17602), _u17603))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17601)), hAPP(c_List_Ofilter(_u17601, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17601), c_fNot), _u17602)), _u17603))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17601)), _u17603)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_filter__is__subset ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_filter__is__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17604, tc_HOL_Obool)), hAPP(c_List_Oset(_u17604), hAPP(c_List_Ofilter(_u17604, _u17605), _u17606))), hAPP(c_List_Oset(_u17604), _u17606))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_filter__id__conv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_filter__id__conv-1, axiom, ( ( hAPP(c_List_Ofilter(_u17612, _u17614), _u17616) != _u17616) | ~hBOOL(hAPP(hAPP(c_member(_u17612), _u17607), hAPP(c_List_Oset(_u17612), _u17616))) | hBOOL(hAPP(_u17614, _u17607)) )).
% 19.51/19.73 cnf(fact_filter__id__conv-2, axiom, ( ( hAPP(c_List_Ofilter(_u17613, _u17615), _u17617) = _u17617) | hBOOL(hAPP(hAPP(c_member(_u17613), skolem438(_u17617, _u17615, _u17613)), hAPP(c_List_Oset(_u17613), _u17617))) )).
% 19.51/19.73 cnf(fact_filter__id__conv-3, axiom, ( ( hAPP(c_List_Ofilter(_u17613, _u17615), _u17617) = _u17617) | ~hBOOL(hAPP(_u17615, skolem438(_u17617, _u17615, _u17613))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_length__filter__le ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_length__filter__le-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17618)), hAPP(c_List_Ofilter(_u17618, _u17619), _u17620))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17618)), _u17620))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_filter__filter ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_filter__filter-1, axiom, ( ( hAPP(c_List_Ofilter(_u17621, _u17622), hAPP(c_List_Ofilter(_u17621, _u17623), _u17624)) = hAPP(c_List_Ofilter(_u17621, hAPP(hAPP(c_COMBS(_u17621, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17621), c_fconj), _u17623)), _u17622)), _u17624)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_remove1__filter__not ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_remove1__filter__not-1, axiom, ( hBOOL(hAPP(_u17625, _u17626)) | ( c_List_Oremove1(_u17627, _u17626, hAPP(c_List_Ofilter(_u17627, _u17625), _u17628)) = hAPP(c_List_Ofilter(_u17627, _u17625), _u17628)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_filter__remove1 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_filter__remove1-1, axiom, ( ( hAPP(c_List_Ofilter(_u17629, _u17630), c_List_Oremove1(_u17629, _u17631, _u17632)) = c_List_Oremove1(_u17629, _u17631, hAPP(c_List_Ofilter(_u17629, _u17630), _u17632))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_filter__insort__triv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_filter__insort__triv-1, axiom, ( ~class_Orderings_Olinorder(_u17633) | hBOOL(hAPP(_u17634, _u17635)) | ( hAPP(c_List_Ofilter(_u17636, _u17634), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17636, _u17633, _u17637), _u17635), _u17638)) = hAPP(c_List_Ofilter(_u17636, _u17634), _u17638)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_partition__filter1 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_partition__filter1-1, axiom, ( ( hAPP(c_Product__Type_Ofst(tc_List_Olist(_u17639), tc_List_Olist(_u17639)), c_List_Opartition(_u17639, _u17640, _u17641)) = hAPP(c_List_Ofilter(_u17639, _u17640), _u17641)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_partition__filter2 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_partition__filter2-1, axiom, ( ( hAPP(c_Product__Type_Osnd(tc_List_Olist(_u17642), tc_List_Olist(_u17642)), c_List_Opartition(_u17642, _u17643, _u17644)) = hAPP(c_List_Ofilter(_u17642, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u17642, c_fNot), _u17643)), _u17644)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_partition__filter__conv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_partition__filter__conv-1, axiom, ( ( c_List_Opartition(_u17645, _u17646, _u17647) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17645), tc_List_Olist(_u17645)), hAPP(c_List_Ofilter(_u17645, _u17646), _u17647)), hAPP(c_List_Ofilter(_u17645, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u17645, c_fNot), _u17646)), _u17647))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_filter__map ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_filter__map-1, axiom, ( ( hAPP(c_List_Ofilter(_u17648, _u17649), hAPP(hAPP(c_List_Omap(_u17650, _u17648), _u17651), _u17652)) = hAPP(hAPP(c_List_Omap(_u17650, _u17648), _u17651), hAPP(c_List_Ofilter(_u17650, hAPP(c_Fun_Ocomp(_u17648, tc_HOL_Obool, _u17650, _u17649), _u17651)), _u17652))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_transpose_Osimps_I1_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_transpose_Osimps_I1_J-1, axiom, ( ( c_List_Otranspose(_u17653, c_List_Olist_ONil(tc_List_Olist(_u17653))) = c_List_Olist_ONil(tc_List_Olist(_u17653))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_filter_Osimps_I1_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_filter_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Ofilter(_u17654, _u17655), c_List_Olist_ONil(_u17654)) = c_List_Olist_ONil(_u17654)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_filter_Osimps_I2_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_filter_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(_u17660, _u17662)) | ( hAPP(c_List_Ofilter(_u17664, _u17660), hAPP(hAPP(c_List_Olist_OCons(_u17664), _u17662), _u17666)) = hAPP(hAPP(c_List_Olist_OCons(_u17664), _u17662), hAPP(c_List_Ofilter(_u17664, _u17660), _u17666))) )).
% 19.51/19.73 cnf(fact_filter_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(_u17661, _u17663)) | ( hAPP(c_List_Ofilter(_u17665, _u17661), hAPP(hAPP(c_List_Olist_OCons(_u17665), _u17663), _u17667)) = hAPP(c_List_Ofilter(_u17665, _u17661), _u17667)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_filter__append ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_filter__append-1, axiom, ( ( hAPP(c_List_Ofilter(_u17668, _u17669), hAPP(hAPP(c_List_Oappend(_u17668), _u17670), _u17671)) = hAPP(hAPP(c_List_Oappend(_u17668), hAPP(c_List_Ofilter(_u17668, _u17669), _u17670)), hAPP(c_List_Ofilter(_u17668, _u17669), _u17671))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_filter__empty__conv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_filter__empty__conv-1, axiom, ( ( hAPP(c_List_Ofilter(_u17677, _u17679), _u17681) != c_List_Olist_ONil(_u17677)) | ~hBOOL(hAPP(hAPP(c_member(_u17677), _u17672), hAPP(c_List_Oset(_u17677), _u17681))) | ~hBOOL(hAPP(_u17679, _u17672)) )).
% 19.51/19.73 cnf(fact_filter__empty__conv-2, axiom, ( ( hAPP(c_List_Ofilter(_u17678, _u17680), _u17682) = c_List_Olist_ONil(_u17678)) | hBOOL(hAPP(hAPP(c_member(_u17678), skolem439(_u17682, _u17680, _u17678)), hAPP(c_List_Oset(_u17678), _u17682))) )).
% 19.51/19.73 cnf(fact_filter__empty__conv-3, axiom, ( ( hAPP(c_List_Ofilter(_u17678, _u17680), _u17682) = c_List_Olist_ONil(_u17678)) | hBOOL(hAPP(_u17680, skolem439(_u17682, _u17680, _u17678))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_length__filter__map ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_length__filter__map-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17683)), hAPP(c_List_Ofilter(_u17683, _u17684), hAPP(hAPP(c_List_Omap(_u17685, _u17683), _u17686), _u17687))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17685)), hAPP(c_List_Ofilter(_u17685, hAPP(c_Fun_Ocomp(_u17683, tc_HOL_Obool, _u17685, _u17684), _u17686)), _u17687))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_removeAll__filter__not ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_removeAll__filter__not-1, axiom, ( hBOOL(hAPP(_u17688, _u17689)) | ( hAPP(c_List_OremoveAll(_u17690, _u17689), hAPP(c_List_Ofilter(_u17690, _u17688), _u17691)) = hAPP(c_List_Ofilter(_u17690, _u17688), _u17691)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_remdups__filter ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_remdups__filter-1, axiom, ( ( c_List_Oremdups(_u17692, hAPP(c_List_Ofilter(_u17692, _u17693), _u17694)) = hAPP(c_List_Ofilter(_u17692, _u17693), c_List_Oremdups(_u17692, _u17694))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_removeAll__filter__not__eq ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_removeAll__filter__not__eq-1, axiom, ( ( c_List_OremoveAll(_u17695, _u17696) = c_List_Ofilter(_u17695, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17695), c_fNot), hAPP(c_fequal, _u17696)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_transpose_Osimps_I2_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_transpose_Osimps_I2_J-1, axiom, ( ( c_List_Otranspose(_u17697, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17697)), c_List_Olist_ONil(_u17697)), _u17698)) = c_List_Otranspose(_u17697, _u17698)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_nth__transpose ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_nth__transpose-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17699), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17700))), c_List_Otranspose(_u17700, _u17701)))) | ( hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17700)), c_List_Otranspose(_u17700, _u17701)), _u17699) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17700), _u17700), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17700), tc_Nat_Onat, _u17700), c_List_Onth(_u17700)), _u17699)), hAPP(c_List_Ofilter(tc_List_Olist(_u17700), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17700)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17699)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17700)))), _u17701))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_transpose__map__map ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_transpose__map__map-1, axiom, ( ( c_List_Otranspose(_u17702, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17703), tc_List_Olist(_u17702)), hAPP(c_List_Omap(_u17703, _u17702), _u17704)), _u17705)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17703), tc_List_Olist(_u17702)), hAPP(c_List_Omap(_u17703, _u17702), _u17704)), c_List_Otranspose(_u17703, _u17705))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__filter ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__filter-1, axiom, ( ( hAPP(c_List_Oset(_u17706), hAPP(c_List_Ofilter(_u17706, _u17707), _u17708)) = hAPP(c_Set_OCollect(_u17706), hAPP(hAPP(c_COMBS(_u17706, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17706), c_fconj), hAPP(hAPP(c_COMBC(_u17706, tc_fun(_u17706, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17706)), hAPP(c_List_Oset(_u17706), _u17708)))), _u17707))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_length__filter__less ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_length__filter__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17709), _u17710), hAPP(c_List_Oset(_u17709), _u17711))) | hBOOL(hAPP(_u17712, _u17710)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17709)), hAPP(c_List_Ofilter(_u17709, _u17712), _u17711))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17709)), _u17711))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__minus__filter__out ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__minus__filter__out-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17713, tc_HOL_Obool)), hAPP(c_List_Oset(_u17713), _u17714)), hAPP(hAPP(c_Set_Oinsert(_u17713), _u17715), c_Orderings_Obot__class_Obot(tc_fun(_u17713, tc_HOL_Obool)))) = hAPP(c_List_Oset(_u17713), hAPP(c_List_Ofilter(_u17713, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17713), c_fNot), hAPP(hAPP(c_COMBC(_u17713, _u17713, tc_HOL_Obool), c_fequal), _u17715))), _u17714))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_filter__in__sublist ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_filter__in__sublist-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17716), _u17717)) | ( hAPP(c_List_Ofilter(_u17716, hAPP(hAPP(c_COMBC(_u17716, tc_fun(_u17716, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17716)), hAPP(c_List_Oset(_u17716), c_List_Osublist(_u17716, _u17717, _u17718)))), _u17717) = c_List_Osublist(_u17716, _u17717, _u17718)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_transpose__empty ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_transpose__empty-1, axiom, ( ( c_List_Otranspose(_u17723, _u17725) != c_List_Olist_ONil(tc_List_Olist(_u17723))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17723)), _u17719), hAPP(c_List_Oset(tc_List_Olist(_u17723)), _u17725))) | ( _u17719 = c_List_Olist_ONil(_u17723)) )).
% 19.51/19.73 cnf(fact_transpose__empty-2, axiom, ( ( c_List_Otranspose(_u17724, _u17726) = c_List_Olist_ONil(tc_List_Olist(_u17724))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17724)), skolem440(_u17726, _u17724)), hAPP(c_List_Oset(tc_List_Olist(_u17724)), _u17726))) )).
% 19.51/19.73 cnf(fact_transpose__empty-3, axiom, ( ( c_List_Otranspose(_u17724, _u17726) = c_List_Olist_ONil(tc_List_Olist(_u17724))) | ( skolem440(_u17726, _u17724) != c_List_Olist_ONil(_u17724)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_length__filter__conv__card ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_length__filter__conv__card-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17727)), hAPP(c_List_Ofilter(_u17727, _u17728), _u17729)) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17727)), _u17729)))), hAPP(hAPP(c_COMBB(_u17727, tc_HOL_Obool, tc_Nat_Onat), _u17728), hAPP(c_List_Onth(_u17727), _u17729)))))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_transpose__aux__filter__tail ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_transpose__aux__filter__tail-1, axiom, ( ( c_List_Oconcat(tc_List_Olist(_u17730), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17730), tc_List_Olist(tc_List_Olist(_u17730))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u17730)), _u17730, c_List_Olist_ONil(tc_List_Olist(_u17730)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u17730), tc_List_Olist(tc_List_Olist(_u17730))), _u17730), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17730), tc_List_Olist(tc_List_Olist(_u17730)), tc_List_Olist(tc_List_Olist(_u17730))), c_List_Olist_OCons(tc_List_Olist(_u17730))), c_List_Olist_ONil(tc_List_Olist(_u17730)))))), _u17731)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17730), tc_List_Olist(_u17730)), c_List_Otl(_u17730)), hAPP(c_List_Ofilter(tc_List_Olist(_u17730), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17730)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17730), tc_List_Olist(_u17730), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17730)))), _u17731))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_transpose_Opsimps_I3_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_transpose_Opsimps_I3_J-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u17732)), c_List_Otranspose__rel(_u17732)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17732)), hAPP(hAPP(c_List_Olist_OCons(_u17732), _u17733), _u17734)), _u17735))) | ( c_List_Otranspose(_u17732, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17732)), hAPP(hAPP(c_List_Olist_OCons(_u17732), _u17733), _u17734)), _u17735)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17732)), hAPP(hAPP(c_List_Olist_OCons(_u17732), _u17733), c_List_Oconcat(_u17732, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17732), tc_List_Olist(_u17732)), c_List_Olist_Olist__case(tc_List_Olist(_u17732), _u17732, c_List_Olist_ONil(_u17732), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17732), tc_fun(tc_List_Olist(_u17732), tc_List_Olist(_u17732)), _u17732), c_COMBK(tc_List_Olist(_u17732), tc_List_Olist(_u17732))), hAPP(hAPP(c_COMBC(_u17732, tc_List_Olist(_u17732), tc_List_Olist(_u17732)), c_List_Olist_OCons(_u17732)), c_List_Olist_ONil(_u17732))))), _u17735)))), c_List_Otranspose(_u17732, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17732)), _u17734), c_List_Oconcat(tc_List_Olist(_u17732), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17732), tc_List_Olist(tc_List_Olist(_u17732))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u17732)), _u17732, c_List_Olist_ONil(tc_List_Olist(_u17732)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u17732), tc_List_Olist(tc_List_Olist(_u17732))), _u17732), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17732), tc_List_Olist(tc_List_Olist(_u17732)), tc_List_Olist(tc_List_Olist(_u17732))), c_List_Olist_OCons(tc_List_Olist(_u17732))), c_List_Olist_ONil(tc_List_Olist(_u17732)))))), _u17735)))))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_transpose_Opsimps_I2_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_transpose_Opsimps_I2_J-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u17736)), c_List_Otranspose__rel(_u17736)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17736)), c_List_Olist_ONil(_u17736)), _u17737))) | ( c_List_Otranspose(_u17736, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17736)), c_List_Olist_ONil(_u17736)), _u17737)) = c_List_Otranspose(_u17736, _u17737)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sublist__shift__lemma__Suc ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sublist__shift__lemma__Suc-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u17738, tc_Nat_Onat), _u17738), c_Product__Type_Ofst(_u17738, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u17738, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u17738, tc_Nat_Onat)), _u17739), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_prod(_u17738, tc_Nat_Onat)), c_Nat_OSuc), c_Product__Type_Osnd(_u17738, tc_Nat_Onat)))), hAPP(hAPP(c_List_Ozip(_u17738, tc_Nat_Onat), _u17740), _u17741))) = hAPP(hAPP(c_List_Omap(tc_prod(_u17738, tc_Nat_Onat), _u17738), c_Product__Type_Ofst(_u17738, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u17738, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u17738, tc_Nat_Onat)), _u17739), c_Product__Type_Osnd(_u17738, tc_Nat_Onat))), hAPP(hAPP(c_List_Ozip(_u17738, tc_Nat_Onat), _u17740), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), _u17741))))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_select__weigth__drop__zero ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_select__weigth__drop__zero-1, axiom, ( ( c_Random_Oselect__weight(_u17742, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17742), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u17742, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u17742, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u17742)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u17743)) = c_Random_Oselect__weight(_u17742, _u17743)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_pick__drop__zero ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_pick__drop__zero-1, axiom, ( ( c_Random_Opick(_u17744, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17744), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u17744, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u17744, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u17744)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u17745)) = c_Random_Opick(_u17744, _u17745)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_transpose_Opsimps_I1_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_transpose_Opsimps_I1_J-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u17746)), c_List_Otranspose__rel(_u17746)), c_List_Olist_ONil(tc_List_Olist(_u17746)))) | ( c_List_Otranspose(_u17746, c_List_Olist_ONil(tc_List_Olist(_u17746))) = c_List_Olist_ONil(tc_List_Olist(_u17746))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_transpose__max__length ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_transpose__max__length-1, axiom, ( ( c_List_Ofoldr(tc_List_Olist(_u17747), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17747)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17747))), c_List_Otranspose(_u17747, _u17748), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17747))), hAPP(c_List_Ofilter(tc_List_Olist(_u17747), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17747)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17747), tc_List_Olist(_u17747), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17747)))), _u17748))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_transpose__aux__max ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_transpose__aux__max-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17749)), _u17750))), c_List_Ofoldr(tc_List_Olist(_u17751), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17751)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17751))), _u17752, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17749)), _u17750)), c_List_Ofoldr(tc_List_Olist(_u17751), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17751)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17751), tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17751)), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17751)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_List_Ofilter(tc_List_Olist(_u17751), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17751)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17751), tc_List_Olist(_u17751), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17751)))), _u17752), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_foldr_Osimps_I1_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_foldr_Osimps_I1_J-1, axiom, ( ( c_List_Ofoldr(_u17753, _u17754, _u17755, c_List_Olist_ONil(_u17753), _u17756) = _u17756) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_foldr_Osimps_I2_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_foldr_Osimps_I2_J-1, axiom, ( ( c_List_Ofoldr(_u17757, _u17758, _u17759, hAPP(hAPP(c_List_Olist_OCons(_u17757), _u17760), _u17761), _u17762) = hAPP(hAPP(_u17759, _u17760), c_List_Ofoldr(_u17757, _u17758, _u17759, _u17761, _u17762))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_foldr__append ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_foldr__append-1, axiom, ( ( c_List_Ofoldr(_u17763, _u17764, _u17765, hAPP(hAPP(c_List_Oappend(_u17763), _u17766), _u17767), _u17768) = c_List_Ofoldr(_u17763, _u17764, _u17765, _u17766, c_List_Ofoldr(_u17763, _u17764, _u17765, _u17767, _u17768))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_foldr__conv__foldl ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_foldr__conv__foldl-1, axiom, ( ~class_Groups_Oab__semigroup__add(_u17769) | ( c_List_Ofoldr(_u17769, _u17769, c_Groups_Oplus__class_Oplus(_u17769), _u17770, _u17771) = hAPP(c_List_Ofoldl(_u17769, _u17769, c_Groups_Oplus__class_Oplus(_u17769), _u17771), _u17770)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_foldr__map ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_foldr__map-1, axiom, ( ( c_List_Ofoldr(_u17772, _u17773, _u17774, hAPP(hAPP(c_List_Omap(_u17775, _u17772), _u17776), _u17777), _u17778) = c_List_Ofoldr(_u17775, _u17773, hAPP(c_Fun_Ocomp(_u17772, tc_fun(_u17773, _u17773), _u17775, _u17774), _u17776), _u17777, _u17778)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_foldl__foldr1__lemma ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_foldl__foldr1__lemma-1, axiom, ( ~class_Groups_Omonoid__add(_u17779) | ( hAPP(c_List_Ofoldl(_u17779, _u17779, c_Groups_Oplus__class_Oplus(_u17779), _u17780), _u17781) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17779), _u17780), c_List_Ofoldr(_u17779, _u17779, c_Groups_Oplus__class_Oplus(_u17779), _u17781, c_Groups_Ozero__class_Ozero(_u17779)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_foldl__foldr1 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_foldl__foldr1-1, axiom, ( ~class_Groups_Omonoid__add(_u17782) | ( hAPP(c_List_Ofoldl(_u17782, _u17782, c_Groups_Oplus__class_Oplus(_u17782), c_Groups_Ozero__class_Ozero(_u17782)), _u17783) = c_List_Ofoldr(_u17782, _u17782, c_Groups_Oplus__class_Oplus(_u17782), _u17783, c_Groups_Ozero__class_Ozero(_u17782))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_length__transpose ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_length__transpose-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17784))), c_List_Otranspose(_u17784, _u17785)) = c_List_Ofoldr(tc_List_Olist(_u17784), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17784)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17784))), _u17785, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sublist__def ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sublist__def-1, axiom, ( ( c_List_Osublist(_u17786, _u17787, _u17788) = hAPP(hAPP(c_List_Omap(tc_prod(_u17786, tc_Nat_Onat), _u17786), c_Product__Type_Ofst(_u17786, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u17786, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u17786, tc_Nat_Onat), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), tc_prod(_u17786, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u17786, tc_Nat_Onat))), _u17788)), hAPP(hAPP(c_List_Ozip(_u17786, tc_Nat_Onat), _u17787), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17786)), _u17787)))))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sublist__shift__lemma ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sublist__shift__lemma-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u17789, tc_Nat_Onat), _u17789), c_Product__Type_Ofst(_u17789, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u17789, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u17789, tc_Nat_Onat), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), tc_prod(_u17789, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u17789, tc_Nat_Onat))), _u17790)), hAPP(hAPP(c_List_Ozip(_u17789, tc_Nat_Onat), _u17791), c_List_Oupt(_u17792, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17792), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17789)), _u17791)))))) = hAPP(hAPP(c_List_Omap(tc_prod(_u17789, tc_Nat_Onat), _u17789), c_Product__Type_Ofst(_u17789, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u17789, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u17789, tc_Nat_Onat), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), tc_prod(_u17789, tc_Nat_Onat)), c_member(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u17789, tc_Nat_Onat), tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_prod(_u17789, tc_Nat_Onat)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Product__Type_Osnd(_u17789, tc_Nat_Onat))), _u17792))), _u17790)), hAPP(hAPP(c_List_Ozip(_u17789, tc_Nat_Onat), _u17791), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17789)), _u17791)))))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__upt ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__upt-1, axiom, ( ( hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u17793, _u17794)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u17793), _u17794)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_atLeastLessThan__upt ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_atLeastLessThan__upt-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u17795), _u17796) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u17795, _u17796))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_upt__Suc__append ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_upt__Suc__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17797), _u17798)) | ( c_List_Oupt(_u17797, hAPP(c_Nat_OSuc, _u17798)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u17797, _u17798)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17798), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_upt__Suc ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_upt__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17801), _u17803)) | ( c_List_Oupt(_u17801, hAPP(c_Nat_OSuc, _u17803)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u17801, _u17803)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17803), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 19.51/19.73 cnf(fact_upt__Suc-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17802), _u17804)) | ( c_List_Oupt(_u17802, hAPP(c_Nat_OSuc, _u17804)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_upt__add__eq__append ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_upt__add__eq__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17805), _u17806)) | ( c_List_Oupt(_u17805, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17806), _u17807)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u17805, _u17806)), c_List_Oupt(_u17806, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17806), _u17807)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_upt__rec ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_upt__rec-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17810), _u17812)) | ( c_List_Oupt(_u17810, _u17812) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17810), c_List_Oupt(hAPP(c_Nat_OSuc, _u17810), _u17812))) )).
% 19.51/19.73 cnf(fact_upt__rec-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17811), _u17813)) | ( c_List_Oupt(_u17811, _u17813) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_upt__conv__Cons ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_upt__conv__Cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17814), _u17815)) | ( c_List_Oupt(_u17814, _u17815) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17814), c_List_Oupt(hAPP(c_Nat_OSuc, _u17814), _u17815))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_upt__conv__Nil ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_upt__conv__Nil-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17816), _u17817)) | ( c_List_Oupt(_u17817, _u17816) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_upt__eq__Nil__conv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_upt__eq__Nil__conv-1, axiom, ( ( c_List_Oupt(_u17820, _u17822) != c_List_Olist_ONil(tc_Nat_Onat)) | ( _u17822 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17822), _u17820)) )).
% 19.51/19.73 cnf(fact_upt__eq__Nil__conv-2, axiom, ( ( c_List_Oupt(_u17821, _u17823) = c_List_Olist_ONil(tc_Nat_Onat)) | ( _u17823 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.73 cnf(fact_upt__eq__Nil__conv-3, axiom, ( ( c_List_Oupt(_u17821, _u17823) = c_List_Olist_ONil(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17823), _u17821)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_upt__0 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_upt__0-1, axiom, ( ( c_List_Oupt(_u17824, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_take__upt ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_take__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17825), _u17826)), _u17827)) | ( hAPP(hAPP(c_List_Otake(tc_Nat_Onat), _u17826), c_List_Oupt(_u17825, _u17827)) = c_List_Oupt(_u17825, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17825), _u17826))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__list__of__set__range ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__list__of__set__range-1, axiom, ( ( c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat, hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u17828), _u17829)) = c_List_Oupt(_u17828, _u17829)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_hd__upt ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_hd__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17830), _u17831)) | ( hAPP(c_List_Ohd(tc_Nat_Onat), c_List_Oupt(_u17830, _u17831)) = _u17830) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_drop__upt ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_drop__upt-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(tc_Nat_Onat), _u17832), c_List_Oupt(_u17833, _u17834)) = c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17833), _u17832), _u17834)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_distinct__upt ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_distinct__upt-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat), c_List_Oupt(_u17835, _u17836))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_length__upt ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_length__upt-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), c_List_Oupt(_u17837, _u17838)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17838), _u17837)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_upt__rec__number__of ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_upt__rec__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17841)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17843))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17841), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17843)) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17841)), c_List_Oupt(hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17841)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17843)))) )).
% 19.51/19.73 cnf(fact_upt__rec__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17842)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17844))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17842), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17844)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_upt__eq__Cons__conv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_upt__eq__Cons__conv-1, axiom, ( ( c_List_Oupt(_u17849, _u17851) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17853), _u17855)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17849), _u17851)) )).
% 19.51/19.73 cnf(fact_upt__eq__Cons__conv-2, axiom, ( ( c_List_Oupt(_u17849, _u17851) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17853), _u17855)) | ( _u17849 = _u17853) )).
% 19.51/19.73 cnf(fact_upt__eq__Cons__conv-3, axiom, ( ( c_List_Oupt(_u17849, _u17851) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17853), _u17855)) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17849), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u17851) = _u17855) )).
% 19.51/19.73 cnf(fact_upt__eq__Cons__conv-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17850), _u17852)) | ( _u17850 != _u17854) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17850), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u17852) != _u17856) | ( c_List_Oupt(_u17850, _u17852) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17854), _u17856)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_last__upt ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_last__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17857), _u17858)) | ( c_List_Olast(tc_Nat_Onat, c_List_Oupt(_u17857, _u17858)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17858), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_map__Suc__upt ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_map__Suc__upt-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), c_List_Oupt(_u17859, _u17860)) = c_List_Oupt(hAPP(c_Nat_OSuc, _u17859), hAPP(c_Nat_OSuc, _u17860))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_atLeastAtMost__upt ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_atLeastAtMost__upt-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u17861, _u17862) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u17861, hAPP(c_Nat_OSuc, _u17862)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_atLeast__upt ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_atLeast__upt-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u17863) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u17863))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_nth__upt ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_nth__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17864), _u17865)), _u17866)) | ( hAPP(hAPP(c_List_Onth(tc_Nat_Onat), c_List_Oupt(_u17864, _u17866)), _u17865) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17864), _u17865)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_greaterThanAtMost__upt ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_greaterThanAtMost__upt-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u17867, _u17868) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u17867), hAPP(c_Nat_OSuc, _u17868)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_greaterThanLessThan__upt ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_greaterThanLessThan__upt-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u17869, _u17870) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u17869), _u17870))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_atMost__upto ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_atMost__upto-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u17871) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u17871)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_map__nth ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_map__nth-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u17872), hAPP(c_List_Onth(_u17872), _u17873)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17872)), _u17873))) = _u17873) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_setsum__set__upt__conv__listsum__nat ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_setsum__set__upt__conv__listsum__nat-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17874) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u17874), _u17875), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u17876, _u17877))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17874), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u17874), _u17875), c_List_Oupt(_u17876, _u17877)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_interv__listsum__conv__setsum__set__nat ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_interv__listsum__conv__setsum__set__nat-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17878) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17878), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u17878), _u17879), c_List_Oupt(_u17880, _u17881))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u17878), _u17879), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u17880, _u17881)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_nth__map__upt ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_nth__map__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17882), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17883), _u17884))) | ( hAPP(hAPP(c_List_Onth(_u17885), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u17885), _u17886), c_List_Oupt(_u17884, _u17883))), _u17882) = hAPP(_u17886, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17884), _u17882))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_transpose__rectangle ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_transpose__rectangle-1, axiom, ( ( _u17888 = c_List_Olist_ONil(tc_List_Olist(_u17889))) | ( c_List_Otranspose(_u17889, _u17888) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u17889)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u17889)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u17889), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u17889)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u17889)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u17889), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17889), tc_fun(tc_Nat_Onat, _u17889), tc_Nat_Onat), c_List_Onth(_u17889)), hAPP(c_List_Onth(tc_List_Olist(_u17889)), _u17888))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17889))), _u17888)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u17890))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem441(_u17890, _u17889, _u17888)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17889))), _u17888))) )).
% 19.51/19.73 cnf(fact_transpose__rectangle-2, axiom, ( ( _u17888 = c_List_Olist_ONil(tc_List_Olist(_u17889))) | ( c_List_Otranspose(_u17889, _u17888) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u17889)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u17889)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u17889), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u17889)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u17889)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u17889), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17889), tc_fun(tc_Nat_Onat, _u17889), tc_Nat_Onat), c_List_Onth(_u17889)), hAPP(c_List_Onth(tc_List_Olist(_u17889)), _u17888))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17889))), _u17888)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u17890))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17889)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17889)), _u17888), skolem441(_u17890, _u17889, _u17888))) != _u17890) )).
% 19.51/19.73 cnf(fact_transpose__rectangle-3, axiom, ( ( _u17890 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u17889, _u17888) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u17889)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u17889)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u17889), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u17889)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u17889)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u17889), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17889), tc_fun(tc_Nat_Onat, _u17889), tc_Nat_Onat), c_List_Onth(_u17889)), hAPP(c_List_Onth(tc_List_Olist(_u17889)), _u17888))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17889))), _u17888)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u17890))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem441(_u17890, _u17889, _u17888)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17889))), _u17888))) )).
% 19.51/19.73 cnf(fact_transpose__rectangle-4, axiom, ( ( _u17890 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u17889, _u17888) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u17889)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u17889)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u17889), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u17889)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u17889)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u17889), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17889), tc_fun(tc_Nat_Onat, _u17889), tc_Nat_Onat), c_List_Onth(_u17889)), hAPP(c_List_Onth(tc_List_Olist(_u17889)), _u17888))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17889))), _u17888)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u17890))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17889)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17889)), _u17888), skolem441(_u17890, _u17889, _u17888))) != _u17890) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_insort__key__remove1 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_insort__key__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u17891) | ~hBOOL(hAPP(hAPP(c_member(_u17892), _u17893), hAPP(c_List_Oset(_u17892), _u17894))) | ~c_List_Olinorder__class_Osorted(_u17891, hAPP(hAPP(c_List_Omap(_u17892, _u17891), _u17895), _u17894)) | ( hAPP(c_List_Ohd(_u17892), hAPP(c_List_Ofilter(_u17892, hAPP(hAPP(c_COMBB(_u17891, tc_HOL_Obool, _u17892), hAPP(c_fequal, hAPP(_u17895, _u17893))), _u17895)), _u17894)) != _u17893) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17892, _u17891, _u17895), _u17893), c_List_Oremove1(_u17892, _u17893, _u17894)) = _u17894) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted_ONil ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted_ONil-1, axiom, ( ~class_Orderings_Olinorder(_u17896) | c_List_Olinorder__class_Osorted(_u17896, c_List_Olist_ONil(_u17896)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__single ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__single-1, axiom, ( ~class_Orderings_Olinorder(_u17897) | c_List_Olinorder__class_Osorted(_u17897, hAPP(hAPP(c_List_Olist_OCons(_u17897), _u17898), c_List_Olist_ONil(_u17897))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__upt ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__upt-1, axiom, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, c_List_Oupt(_u17899, _u17900)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__sort ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__sort-1, axiom, ( ~class_Orderings_Olinorder(_u17901) | c_List_Olinorder__class_Osorted(_u17901, c_List_Olinorder__class_Osort__key(_u17901, _u17901, c_COMBI(_u17901), _u17902)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__insort__insert ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__insort__insert-1, axiom, ( ~class_Orderings_Olinorder(_u17903) | ~c_List_Olinorder__class_Osorted(_u17903, _u17904) | c_List_Olinorder__class_Osorted(_u17903, c_List_Olinorder__class_Oinsort__insert__key(_u17903, _u17903, c_COMBI(_u17903), _u17905, _u17904)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__drop ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__drop-1, axiom, ( ~class_Orderings_Olinorder(_u17906) | ~c_List_Olinorder__class_Osorted(_u17906, _u17907) | c_List_Olinorder__class_Osorted(_u17906, hAPP(hAPP(c_List_Odrop(_u17906), _u17908), _u17907)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__upto ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__upto-1, axiom, ( c_List_Olinorder__class_Osorted(tc_Int_Oint, c_List_Oupto(_u17909, _u17910)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__take ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__take-1, axiom, ( ~class_Orderings_Olinorder(_u17911) | ~c_List_Olinorder__class_Osorted(_u17911, _u17912) | c_List_Olinorder__class_Osorted(_u17911, hAPP(hAPP(c_List_Otake(_u17911), _u17913), _u17912)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__remove1 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u17914) | ~c_List_Olinorder__class_Osorted(_u17914, _u17915) | c_List_Olinorder__class_Osorted(_u17914, c_List_Oremove1(_u17914, _u17916, _u17915)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__tl ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__tl-1, axiom, ( ~class_Orderings_Olinorder(_u17917) | ~c_List_Olinorder__class_Osorted(_u17917, _u17918) | c_List_Olinorder__class_Osorted(_u17917, hAPP(c_List_Otl(_u17917), _u17918)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__insort ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17919) | ~c_List_Olinorder__class_Osorted(_u17919, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17919, _u17919, c_COMBI(_u17919)), _u17920), _u17921)) | c_List_Olinorder__class_Osorted(_u17919, _u17921) )).
% 19.51/19.73 cnf(fact_sorted__insort-2, axiom, ( ~class_Orderings_Olinorder(_u17919) | ~c_List_Olinorder__class_Osorted(_u17919, _u17921) | c_List_Olinorder__class_Osorted(_u17919, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17919, _u17919, c_COMBI(_u17919)), _u17920), _u17921)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__butlast ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__butlast-1, axiom, ( ~class_Orderings_Olinorder(_u17922) | ( _u17923 = c_List_Olist_ONil(_u17922)) | ~c_List_Olinorder__class_Osorted(_u17922, _u17923) | c_List_Olinorder__class_Osorted(_u17922, c_List_Obutlast(_u17922, _u17923)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted_Oequations_I1_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted_Oequations_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u17924) | c_List_Olinorder__class_Osorted(_u17924, c_List_Olist_ONil(_u17924)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__many__eq ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__many__eq-1, axiom, ( ~class_Orderings_Olinorder(_u17925) | ~c_List_Olinorder__class_Osorted(_u17925, hAPP(hAPP(c_List_Olist_OCons(_u17925), _u17926), hAPP(hAPP(c_List_Olist_OCons(_u17925), _u17927), _u17928))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17925), _u17926), _u17927)) )).
% 19.51/19.73 cnf(fact_sorted__many__eq-2, axiom, ( ~class_Orderings_Olinorder(_u17925) | ~c_List_Olinorder__class_Osorted(_u17925, hAPP(hAPP(c_List_Olist_OCons(_u17925), _u17926), hAPP(hAPP(c_List_Olist_OCons(_u17925), _u17927), _u17928))) | c_List_Olinorder__class_Osorted(_u17925, hAPP(hAPP(c_List_Olist_OCons(_u17925), _u17927), _u17928)) )).
% 19.51/19.73 cnf(fact_sorted__many__eq-3, axiom, ( ~class_Orderings_Olinorder(_u17925) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17925), _u17926), _u17927)) | ~c_List_Olinorder__class_Osorted(_u17925, hAPP(hAPP(c_List_Olist_OCons(_u17925), _u17927), _u17928)) | c_List_Olinorder__class_Osorted(_u17925, hAPP(hAPP(c_List_Olist_OCons(_u17925), _u17926), hAPP(hAPP(c_List_Olist_OCons(_u17925), _u17927), _u17928))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__many ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__many-1, axiom, ( ~class_Orderings_Olinorder(_u17929) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17929), _u17930), _u17931)) | ~c_List_Olinorder__class_Osorted(_u17929, hAPP(hAPP(c_List_Olist_OCons(_u17929), _u17931), _u17932)) | c_List_Olinorder__class_Osorted(_u17929, hAPP(hAPP(c_List_Olist_OCons(_u17929), _u17930), hAPP(hAPP(c_List_Olist_OCons(_u17929), _u17931), _u17932))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__remdups ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__remdups-1, axiom, ( ~class_Orderings_Olinorder(_u17933) | ~c_List_Olinorder__class_Osorted(_u17933, _u17934) | c_List_Olinorder__class_Osorted(_u17933, c_List_Oremdups(_u17933, _u17934)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__distinct__set__unique ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__distinct__set__unique-1, axiom, ( ~class_Orderings_Olinorder(_u17935) | ~c_List_Olinorder__class_Osorted(_u17935, _u17936) | ~hBOOL(hAPP(c_List_Odistinct(_u17935), _u17936)) | ~c_List_Olinorder__class_Osorted(_u17935, _u17937) | ~hBOOL(hAPP(c_List_Odistinct(_u17935), _u17937)) | ( hAPP(c_List_Oset(_u17935), _u17936) != hAPP(c_List_Oset(_u17935), _u17937)) | ( _u17936 = _u17937) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__sort__key ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__sort__key-1, axiom, ( ~class_Orderings_Olinorder(_u17938) | c_List_Olinorder__class_Osorted(_u17938, hAPP(hAPP(c_List_Omap(_u17939, _u17938), _u17940), c_List_Olinorder__class_Osort__key(_u17939, _u17938, _u17940, _u17941))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__insort__insert__key ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__insort__insert__key-1, axiom, ( ~class_Orderings_Olinorder(_u17942) | ~c_List_Olinorder__class_Osorted(_u17942, hAPP(hAPP(c_List_Omap(_u17943, _u17942), _u17944), _u17945)) | c_List_Olinorder__class_Osorted(_u17942, hAPP(hAPP(c_List_Omap(_u17943, _u17942), _u17944), c_List_Olinorder__class_Oinsort__insert__key(_u17943, _u17942, _u17944, _u17946, _u17945))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__map__remove1 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__map__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u17947) | ~c_List_Olinorder__class_Osorted(_u17947, hAPP(hAPP(c_List_Omap(_u17948, _u17947), _u17949), _u17950)) | c_List_Olinorder__class_Osorted(_u17947, hAPP(hAPP(c_List_Omap(_u17948, _u17947), _u17949), c_List_Oremove1(_u17948, _u17951, _u17950))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__insort__key ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__insort__key-1, axiom, ( ~class_Orderings_Olinorder(_u17952) | ~c_List_Olinorder__class_Osorted(_u17952, hAPP(hAPP(c_List_Omap(_u17953, _u17952), _u17954), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17953, _u17952, _u17954), _u17955), _u17956))) | c_List_Olinorder__class_Osorted(_u17952, hAPP(hAPP(c_List_Omap(_u17953, _u17952), _u17954), _u17956)) )).
% 19.51/19.73 cnf(fact_sorted__insort__key-2, axiom, ( ~class_Orderings_Olinorder(_u17952) | ~c_List_Olinorder__class_Osorted(_u17952, hAPP(hAPP(c_List_Omap(_u17953, _u17952), _u17954), _u17956)) | c_List_Olinorder__class_Osorted(_u17952, hAPP(hAPP(c_List_Omap(_u17953, _u17952), _u17954), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17953, _u17952, _u17954), _u17955), _u17956))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__filter ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__filter-1, axiom, ( ~class_Orderings_Olinorder(_u17957) | ~c_List_Olinorder__class_Osorted(_u17957, hAPP(hAPP(c_List_Omap(_u17958, _u17957), _u17959), _u17960)) | c_List_Olinorder__class_Osorted(_u17957, hAPP(hAPP(c_List_Omap(_u17958, _u17957), _u17959), hAPP(c_List_Ofilter(_u17958, _u17961), _u17960))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__map__same ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__map__same-1, axiom, ( ~class_Orderings_Olinorder(_u17962) | c_List_Olinorder__class_Osorted(_u17962, hAPP(hAPP(c_List_Omap(_u17963, _u17962), _u17964), hAPP(c_List_Ofilter(_u17963, hAPP(hAPP(c_COMBC(_u17963, _u17962, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u17962, tc_fun(_u17962, tc_HOL_Obool), _u17963), c_fequal), _u17964)), hAPP(_u17965, _u17966))), _u17966))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__same ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__same-1, axiom, ( ~class_Orderings_Olinorder(_u17967) | c_List_Olinorder__class_Osorted(_u17967, hAPP(c_List_Ofilter(_u17967, hAPP(hAPP(c_COMBC(_u17967, _u17967, tc_HOL_Obool), c_fequal), hAPP(_u17968, _u17969))), _u17969)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__Cons ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__Cons-1, axiom, ( ~class_Orderings_Olinorder(_u17972) | ~c_List_Olinorder__class_Osorted(_u17972, hAPP(hAPP(c_List_Olist_OCons(_u17972), _u17973), _u17974)) | c_List_Olinorder__class_Osorted(_u17972, _u17974) )).
% 19.51/19.73 cnf(fact_sorted__Cons-2, axiom, ( ~class_Orderings_Olinorder(_u17972) | ~c_List_Olinorder__class_Osorted(_u17972, hAPP(hAPP(c_List_Olist_OCons(_u17972), _u17973), _u17974)) | ~hBOOL(hAPP(hAPP(c_member(_u17972), _u17970), hAPP(c_List_Oset(_u17972), _u17974))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17972), _u17973), _u17970)) )).
% 19.51/19.73 cnf(fact_sorted__Cons-3, axiom, ( ~class_Orderings_Olinorder(_u17972) | c_List_Olinorder__class_Osorted(_u17972, hAPP(hAPP(c_List_Olist_OCons(_u17972), _u17973), _u17974)) | ~c_List_Olinorder__class_Osorted(_u17972, _u17974) | hBOOL(hAPP(hAPP(c_member(_u17972), skolem442(_u17974, _u17973, _u17972)), hAPP(c_List_Oset(_u17972), _u17974))) )).
% 19.51/19.73 cnf(fact_sorted__Cons-4, axiom, ( ~class_Orderings_Olinorder(_u17972) | c_List_Olinorder__class_Osorted(_u17972, hAPP(hAPP(c_List_Olist_OCons(_u17972), _u17973), _u17974)) | ~c_List_Olinorder__class_Osorted(_u17972, _u17974) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17972), _u17973), skolem442(_u17974, _u17973, _u17972))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__append ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__append-1, axiom, ( ~class_Orderings_Olinorder(_u17979) | ~c_List_Olinorder__class_Osorted(_u17979, hAPP(hAPP(c_List_Oappend(_u17979), _u17980), _u17981)) | c_List_Olinorder__class_Osorted(_u17979, _u17980) )).
% 19.51/19.73 cnf(fact_sorted__append-2, axiom, ( ~class_Orderings_Olinorder(_u17979) | ~c_List_Olinorder__class_Osorted(_u17979, hAPP(hAPP(c_List_Oappend(_u17979), _u17980), _u17981)) | c_List_Olinorder__class_Osorted(_u17979, _u17981) )).
% 19.51/19.73 cnf(fact_sorted__append-3, axiom, ( ~class_Orderings_Olinorder(_u17979) | ~c_List_Olinorder__class_Osorted(_u17979, hAPP(hAPP(c_List_Oappend(_u17979), _u17980), _u17981)) | ~hBOOL(hAPP(hAPP(c_member(_u17979), _u17976), hAPP(c_List_Oset(_u17979), _u17980))) | ~hBOOL(hAPP(hAPP(c_member(_u17979), _u17975), hAPP(c_List_Oset(_u17979), _u17981))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17979), _u17976), _u17975)) )).
% 19.51/19.73 cnf(fact_sorted__append-4, axiom, ( ~class_Orderings_Olinorder(_u17979) | c_List_Olinorder__class_Osorted(_u17979, hAPP(hAPP(c_List_Oappend(_u17979), _u17980), _u17981)) | ~c_List_Olinorder__class_Osorted(_u17979, _u17980) | ~c_List_Olinorder__class_Osorted(_u17979, _u17981) | hBOOL(hAPP(hAPP(c_member(_u17979), skolem443(_u17981, _u17980, _u17979)), hAPP(c_List_Oset(_u17979), _u17980))) )).
% 19.51/19.73 cnf(fact_sorted__append-5, axiom, ( ~class_Orderings_Olinorder(_u17979) | c_List_Olinorder__class_Osorted(_u17979, hAPP(hAPP(c_List_Oappend(_u17979), _u17980), _u17981)) | ~c_List_Olinorder__class_Osorted(_u17979, _u17980) | ~c_List_Olinorder__class_Osorted(_u17979, _u17981) | hBOOL(hAPP(hAPP(c_member(_u17979), skolem444(_u17981, _u17980, _u17979)), hAPP(c_List_Oset(_u17979), _u17981))) )).
% 19.51/19.73 cnf(fact_sorted__append-6, axiom, ( ~class_Orderings_Olinorder(_u17979) | c_List_Olinorder__class_Osorted(_u17979, hAPP(hAPP(c_List_Oappend(_u17979), _u17980), _u17981)) | ~c_List_Olinorder__class_Osorted(_u17979, _u17980) | ~c_List_Olinorder__class_Osorted(_u17979, _u17981) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17979), skolem443(_u17981, _u17980, _u17979)), skolem444(_u17981, _u17980, _u17979))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_filter__insort ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_filter__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17982) | ~c_List_Olinorder__class_Osorted(_u17982, hAPP(hAPP(c_List_Omap(_u17983, _u17982), _u17984), _u17985)) | ~hBOOL(hAPP(_u17986, _u17987)) | ( hAPP(c_List_Ofilter(_u17983, _u17986), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17983, _u17982, _u17984), _u17987), _u17985)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17983, _u17982, _u17984), _u17987), hAPP(c_List_Ofilter(_u17983, _u17986), _u17985))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted_Oequations_I2_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted_Oequations_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u17990) | ~c_List_Olinorder__class_Osorted(_u17990, hAPP(hAPP(c_List_Olist_OCons(_u17990), _u17991), _u17992)) | ~hBOOL(hAPP(hAPP(c_member(_u17990), _u17988), hAPP(c_List_Oset(_u17990), _u17992))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17990), _u17991), _u17988)) )).
% 19.51/19.73 cnf(fact_sorted_Oequations_I2_J-2, axiom, ( ~class_Orderings_Olinorder(_u17990) | ~c_List_Olinorder__class_Osorted(_u17990, hAPP(hAPP(c_List_Olist_OCons(_u17990), _u17991), _u17992)) | c_List_Olinorder__class_Osorted(_u17990, _u17992) )).
% 19.51/19.73 cnf(fact_sorted_Oequations_I2_J-3, axiom, ( ~class_Orderings_Olinorder(_u17990) | c_List_Olinorder__class_Osorted(_u17990, hAPP(hAPP(c_List_Olist_OCons(_u17990), _u17991), _u17992)) | ~c_List_Olinorder__class_Osorted(_u17990, _u17992) | hBOOL(hAPP(hAPP(c_member(_u17990), skolem445(_u17992, _u17991, _u17990)), hAPP(c_List_Oset(_u17990), _u17992))) )).
% 19.51/19.73 cnf(fact_sorted_Oequations_I2_J-4, axiom, ( ~class_Orderings_Olinorder(_u17990) | c_List_Olinorder__class_Osorted(_u17990, hAPP(hAPP(c_List_Olist_OCons(_u17990), _u17991), _u17992)) | ~c_List_Olinorder__class_Osorted(_u17990, _u17992) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17990), _u17991), skolem445(_u17992, _u17991, _u17990))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__list__of__set ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__list__of__set-1, axiom, ( ~class_Orderings_Olinorder(_u17993) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17993), _u17994)) | ( hAPP(c_List_Oset(_u17993), c_List_Olinorder__class_Osorted__list__of__set(_u17993, _u17994)) = _u17994) )).
% 19.51/19.73 cnf(fact_sorted__list__of__set-2, axiom, ( ~class_Orderings_Olinorder(_u17993) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17993), _u17994)) | c_List_Olinorder__class_Osorted(_u17993, c_List_Olinorder__class_Osorted__list__of__set(_u17993, _u17994)) )).
% 19.51/19.73 cnf(fact_sorted__list__of__set-3, axiom, ( ~class_Orderings_Olinorder(_u17993) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17993), _u17994)) | hBOOL(hAPP(c_List_Odistinct(_u17993), c_List_Olinorder__class_Osorted__list__of__set(_u17993, _u17994))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_insort__remove1 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_insort__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u17995) | ~hBOOL(hAPP(hAPP(c_member(_u17995), _u17996), hAPP(c_List_Oset(_u17995), _u17997))) | ~c_List_Olinorder__class_Osorted(_u17995, _u17997) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17995, _u17995, c_COMBI(_u17995)), _u17996), c_List_Oremove1(_u17995, _u17996, _u17997)) = _u17997) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__equals__nth__mono ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__equals__nth__mono-1, axiom, ( ~class_Orderings_Olinorder(_u18002) | ~c_List_Olinorder__class_Osorted(_u18002, _u18003) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17999), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18002)), _u18003))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17998), _u17999)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18002), hAPP(hAPP(c_List_Onth(_u18002), _u18003), _u17998)), hAPP(hAPP(c_List_Onth(_u18002), _u18003), _u17999))) )).
% 19.51/19.73 cnf(fact_sorted__equals__nth__mono-2, axiom, ( ~class_Orderings_Olinorder(_u18002) | c_List_Olinorder__class_Osorted(_u18002, _u18003) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem446(_u18003, _u18002)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18002)), _u18003))) )).
% 19.51/19.73 cnf(fact_sorted__equals__nth__mono-3, axiom, ( ~class_Orderings_Olinorder(_u18002) | c_List_Olinorder__class_Osorted(_u18002, _u18003) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem447(_u18003, _u18002)), skolem446(_u18003, _u18002))) )).
% 19.51/19.73 cnf(fact_sorted__equals__nth__mono-4, axiom, ( ~class_Orderings_Olinorder(_u18002) | c_List_Olinorder__class_Osorted(_u18002, _u18003) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18002), hAPP(hAPP(c_List_Onth(_u18002), _u18003), skolem447(_u18003, _u18002))), hAPP(hAPP(c_List_Onth(_u18002), _u18003), skolem446(_u18003, _u18002)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__nth__mono ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__nth__mono-1, axiom, ( ~class_Orderings_Olinorder(_u18004) | ~c_List_Olinorder__class_Osorted(_u18004, _u18005) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18006), _u18007)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18007), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18004)), _u18005))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18004), hAPP(hAPP(c_List_Onth(_u18004), _u18005), _u18006)), hAPP(hAPP(c_List_Onth(_u18004), _u18005), _u18007))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_map__sorted__distinct__set__unique ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_map__sorted__distinct__set__unique-1, axiom, ( ~class_Orderings_Olinorder(_u18008) | ~c_Fun_Oinj__on(_u18009, _u18008, _u18010, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18009, tc_HOL_Obool)), hAPP(c_List_Oset(_u18009), _u18011)), hAPP(c_List_Oset(_u18009), _u18012))) | ~c_List_Olinorder__class_Osorted(_u18008, hAPP(hAPP(c_List_Omap(_u18009, _u18008), _u18010), _u18011)) | ~hBOOL(hAPP(c_List_Odistinct(_u18008), hAPP(hAPP(c_List_Omap(_u18009, _u18008), _u18010), _u18011))) | ~c_List_Olinorder__class_Osorted(_u18008, hAPP(hAPP(c_List_Omap(_u18009, _u18008), _u18010), _u18012)) | ~hBOOL(hAPP(c_List_Odistinct(_u18008), hAPP(hAPP(c_List_Omap(_u18009, _u18008), _u18010), _u18012))) | ( hAPP(c_List_Oset(_u18009), _u18011) != hAPP(c_List_Oset(_u18009), _u18012)) | ( _u18011 = _u18012) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_transpose__column ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_transpose__column-1, axiom, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18013), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18013))), _u18014))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18015), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18013))), _u18014))) | ( hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18013), _u18013), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18013), tc_Nat_Onat, _u18013), c_List_Onth(_u18013)), _u18015)), hAPP(c_List_Ofilter(tc_List_Olist(_u18013), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18013)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18015)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18013)))), c_List_Otranspose(_u18013, _u18014))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18013)), _u18014), _u18015)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_nth__nth__transpose__sorted ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_nth__nth__transpose__sorted-1, axiom, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18016), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18016))), _u18017))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18018), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18016))), c_List_Otranspose(_u18016, _u18017)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18019), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18016))), hAPP(c_List_Ofilter(tc_List_Olist(_u18016), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18016)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18018)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18016)))), _u18017)))) | ( hAPP(hAPP(c_List_Onth(_u18016), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18016)), c_List_Otranspose(_u18016, _u18017)), _u18018)), _u18019) = hAPP(hAPP(c_List_Onth(_u18016), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18016)), _u18017), _u18019)), _u18018)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_inj__on__rev ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_inj__on__rev-1, axiom, ( c_Fun_Oinj__on(tc_List_Olist(_u18020), tc_List_Olist(_u18020), c_List_Orev(_u18020), _u18021) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_distinct__rev ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_distinct__rev-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18024), hAPP(c_List_Orev(_u18024), _u18026))) | hBOOL(hAPP(c_List_Odistinct(_u18024), _u18026)) )).
% 19.51/19.73 cnf(fact_distinct__rev-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18025), _u18027)) | hBOOL(hAPP(c_List_Odistinct(_u18025), hAPP(c_List_Orev(_u18025), _u18027))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_rev_Osimps_I1_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_rev_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Orev(_u18028), c_List_Olist_ONil(_u18028)) = c_List_Olist_ONil(_u18028)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_Nil__is__rev__conv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_Nil__is__rev__conv-1, axiom, ( ( c_List_Olist_ONil(_u18031) != hAPP(c_List_Orev(_u18031), _u18033)) | ( _u18033 = c_List_Olist_ONil(_u18031)) )).
% 19.51/19.73 cnf(fact_Nil__is__rev__conv-2, axiom, ( ( _u18034 != c_List_Olist_ONil(_u18032)) | ( c_List_Olist_ONil(_u18032) = hAPP(c_List_Orev(_u18032), _u18034)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_rev__is__Nil__conv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_rev__is__Nil__conv-1, axiom, ( ( hAPP(c_List_Orev(_u18037), _u18039) != c_List_Olist_ONil(_u18037)) | ( _u18039 = c_List_Olist_ONil(_u18037)) )).
% 19.51/19.73 cnf(fact_rev__is__Nil__conv-2, axiom, ( ( _u18040 != c_List_Olist_ONil(_u18038)) | ( hAPP(c_List_Orev(_u18038), _u18040) = c_List_Olist_ONil(_u18038)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_rev__singleton__conv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_rev__singleton__conv-1, axiom, ( ( hAPP(c_List_Orev(_u18044), _u18046) != hAPP(hAPP(c_List_Olist_OCons(_u18044), _u18048), c_List_Olist_ONil(_u18044))) | ( _u18046 = hAPP(hAPP(c_List_Olist_OCons(_u18044), _u18048), c_List_Olist_ONil(_u18044))) )).
% 19.51/19.73 cnf(fact_rev__singleton__conv-2, axiom, ( ( _u18047 != hAPP(hAPP(c_List_Olist_OCons(_u18045), _u18049), c_List_Olist_ONil(_u18045))) | ( hAPP(c_List_Orev(_u18045), _u18047) = hAPP(hAPP(c_List_Olist_OCons(_u18045), _u18049), c_List_Olist_ONil(_u18045))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_singleton__rev__conv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_singleton__rev__conv-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18053), _u18055), c_List_Olist_ONil(_u18053)) != hAPP(c_List_Orev(_u18053), _u18057)) | ( _u18057 = hAPP(hAPP(c_List_Olist_OCons(_u18053), _u18055), c_List_Olist_ONil(_u18053))) )).
% 19.51/19.73 cnf(fact_singleton__rev__conv-2, axiom, ( ( _u18058 != hAPP(hAPP(c_List_Olist_OCons(_u18054), _u18056), c_List_Olist_ONil(_u18054))) | ( hAPP(hAPP(c_List_Olist_OCons(_u18054), _u18056), c_List_Olist_ONil(_u18054)) = hAPP(c_List_Orev(_u18054), _u18058)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_rev__append ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_rev__append-1, axiom, ( ( hAPP(c_List_Orev(_u18059), hAPP(hAPP(c_List_Oappend(_u18059), _u18060), _u18061)) = hAPP(hAPP(c_List_Oappend(_u18059), hAPP(c_List_Orev(_u18059), _u18061)), hAPP(c_List_Orev(_u18059), _u18060))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_rev__concat ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_rev__concat-1, axiom, ( ( hAPP(c_List_Orev(_u18062), c_List_Oconcat(_u18062, _u18063)) = c_List_Oconcat(_u18062, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18062), tc_List_Olist(_u18062)), c_List_Orev(_u18062)), hAPP(c_List_Orev(tc_List_Olist(_u18062)), _u18063)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_rev__map ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_rev__map-1, axiom, ( ( hAPP(c_List_Orev(_u18064), hAPP(hAPP(c_List_Omap(_u18065, _u18064), _u18066), _u18067)) = hAPP(hAPP(c_List_Omap(_u18065, _u18064), _u18066), hAPP(c_List_Orev(_u18065), _u18067))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_rev__filter ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_rev__filter-1, axiom, ( ( hAPP(c_List_Orev(_u18068), hAPP(c_List_Ofilter(_u18068, _u18069), _u18070)) = hAPP(c_List_Ofilter(_u18068, _u18069), hAPP(c_List_Orev(_u18068), _u18070))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_zip__rev ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_zip__rev-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18071)), _u18072) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18073)), _u18074)) | ( hAPP(hAPP(c_List_Ozip(_u18071, _u18073), hAPP(c_List_Orev(_u18071), _u18072)), hAPP(c_List_Orev(_u18073), _u18074)) = hAPP(c_List_Orev(tc_prod(_u18071, _u18073)), hAPP(hAPP(c_List_Ozip(_u18071, _u18073), _u18072), _u18074))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__rev ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__rev-1, axiom, ( ( hAPP(c_List_Oset(_u18075), hAPP(c_List_Orev(_u18075), _u18076)) = hAPP(c_List_Oset(_u18075), _u18076)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__all2__rev1 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__all2__rev1-1, axiom, ( ~c_List_Olist__all2(_u18082, _u18084, _u18086, hAPP(c_List_Orev(_u18082), _u18088), _u18090) | c_List_Olist__all2(_u18082, _u18084, _u18086, _u18088, hAPP(c_List_Orev(_u18084), _u18090)) )).
% 19.51/19.73 cnf(fact_list__all2__rev1-2, axiom, ( ~c_List_Olist__all2(_u18083, _u18085, _u18087, _u18089, hAPP(c_List_Orev(_u18085), _u18091)) | c_List_Olist__all2(_u18083, _u18085, _u18087, hAPP(c_List_Orev(_u18083), _u18089), _u18091) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_list__all2__rev ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_list__all2__rev-1, axiom, ( ~c_List_Olist__all2(_u18097, _u18099, _u18101, hAPP(c_List_Orev(_u18097), _u18103), hAPP(c_List_Orev(_u18099), _u18105)) | c_List_Olist__all2(_u18097, _u18099, _u18101, _u18103, _u18105) )).
% 19.51/19.73 cnf(fact_list__all2__rev-2, axiom, ( ~c_List_Olist__all2(_u18098, _u18100, _u18102, _u18104, _u18106) | c_List_Olist__all2(_u18098, _u18100, _u18102, hAPP(c_List_Orev(_u18098), _u18104), hAPP(c_List_Orev(_u18100), _u18106)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_rev__is__rev__conv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_rev__is__rev__conv-1, axiom, ( ( _u18112 = _u18114) | ( hAPP(c_List_Orev(_u18110), _u18112) != hAPP(c_List_Orev(_u18110), _u18114)) )).
% 19.51/19.73 cnf(fact_rev__is__rev__conv-2, axiom, ( ( _u18113 != _u18115) | ( hAPP(c_List_Orev(_u18111), _u18113) = hAPP(c_List_Orev(_u18111), _u18115)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_rev__swap ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_rev__swap-1, axiom, ( ( hAPP(c_List_Orev(_u18119), _u18121) != _u18123) | ( _u18121 = hAPP(c_List_Orev(_u18119), _u18123)) )).
% 19.51/19.73 cnf(fact_rev__swap-2, axiom, ( ( _u18122 != hAPP(c_List_Orev(_u18120), _u18124)) | ( hAPP(c_List_Orev(_u18120), _u18122) = _u18124) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_rev__rev__ident ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_rev__rev__ident-1, axiom, ( ( hAPP(c_List_Orev(_u18125), hAPP(c_List_Orev(_u18125), _u18126)) = _u18126) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listsum__rev ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listsum__rev-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18127) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18127), hAPP(c_List_Orev(_u18127), _u18128)) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18127), _u18128)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_length__rev ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_length__rev-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18129)), hAPP(c_List_Orev(_u18129), _u18130)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18129)), _u18130)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_foldr__foldl ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_foldr__foldl-1, axiom, ( ( c_List_Ofoldr(_u18131, _u18132, _u18133, _u18134, _u18135) = hAPP(c_List_Ofoldl(_u18132, _u18131, hAPP(c_COMBC(_u18131, _u18132, _u18132), _u18133), _u18135), hAPP(c_List_Orev(_u18131), _u18134))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_foldl__foldr ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_foldl__foldr-1, axiom, ( ( hAPP(c_List_Ofoldl(_u18136, _u18137, _u18138, _u18139), _u18140) = c_List_Ofoldr(_u18137, _u18136, hAPP(c_COMBC(_u18136, _u18137, _u18136), _u18138), hAPP(c_List_Orev(_u18137), _u18140), _u18139)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_rev_Osimps_I2_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_rev_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Orev(_u18141), hAPP(hAPP(c_List_Olist_OCons(_u18141), _u18142), _u18143)) = hAPP(hAPP(c_List_Oappend(_u18141), hAPP(c_List_Orev(_u18141), _u18143)), hAPP(hAPP(c_List_Olist_OCons(_u18141), _u18142), c_List_Olist_ONil(_u18141)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_rev__eq__Cons__iff ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_rev__eq__Cons__iff-1, axiom, ( ( hAPP(c_List_Orev(_u18148), _u18150) != hAPP(hAPP(c_List_Olist_OCons(_u18148), _u18152), _u18154)) | ( _u18150 = hAPP(hAPP(c_List_Oappend(_u18148), hAPP(c_List_Orev(_u18148), _u18154)), hAPP(hAPP(c_List_Olist_OCons(_u18148), _u18152), c_List_Olist_ONil(_u18148)))) )).
% 19.51/19.73 cnf(fact_rev__eq__Cons__iff-2, axiom, ( ( _u18151 != hAPP(hAPP(c_List_Oappend(_u18149), hAPP(c_List_Orev(_u18149), _u18155)), hAPP(hAPP(c_List_Olist_OCons(_u18149), _u18153), c_List_Olist_ONil(_u18149)))) | ( hAPP(c_List_Orev(_u18149), _u18151) = hAPP(hAPP(c_List_Olist_OCons(_u18149), _u18153), _u18155)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_last__rev ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_last__rev-1, axiom, ( ( _u18156 = c_List_Olist_ONil(_u18157)) | ( c_List_Olast(_u18157, hAPP(c_List_Orev(_u18157), _u18156)) = hAPP(c_List_Ohd(_u18157), _u18156)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_hd__rev ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_hd__rev-1, axiom, ( ( _u18158 = c_List_Olist_ONil(_u18159)) | ( hAPP(c_List_Ohd(_u18159), hAPP(c_List_Orev(_u18159), _u18158)) = c_List_Olast(_u18159, _u18158)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__transpose ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__transpose-1, axiom, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18160), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18160))), c_List_Otranspose(_u18160, _u18161)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_rev__foldl__cons ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_rev__foldl__cons-1, axiom, ( ( hAPP(c_List_Orev(_u18162), _u18163) = hAPP(c_List_Ofoldl(tc_List_Olist(_u18162), _u18162, hAPP(c_COMBC(_u18162, tc_List_Olist(_u18162), tc_List_Olist(_u18162)), c_List_Olist_OCons(_u18162)), c_List_Olist_ONil(_u18162)), _u18163)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_rev__take ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_rev__take-1, axiom, ( ( hAPP(c_List_Orev(_u18164), hAPP(hAPP(c_List_Otake(_u18164), _u18165), _u18166)) = hAPP(hAPP(c_List_Odrop(_u18164), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18164)), _u18166)), _u18165)), hAPP(c_List_Orev(_u18164), _u18166))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_rev__drop ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_rev__drop-1, axiom, ( ( hAPP(c_List_Orev(_u18167), hAPP(hAPP(c_List_Odrop(_u18167), _u18168), _u18169)) = hAPP(hAPP(c_List_Otake(_u18167), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18167)), _u18169)), _u18168)), hAPP(c_List_Orev(_u18167), _u18169))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_rotate__rev ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_rotate__rev-1, axiom, ( ( hAPP(c_List_Orotate(_u18170, _u18171), hAPP(c_List_Orev(_u18170), _u18172)) = hAPP(c_List_Orev(_u18170), hAPP(c_List_Orotate(_u18170, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18170)), _u18172)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u18171, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18170)), _u18172)))), _u18172))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_rev__nth ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_rev__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18173), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18174)), _u18175))) | ( hAPP(hAPP(c_List_Onth(_u18174), hAPP(c_List_Orev(_u18174), _u18175)), _u18173) = hAPP(hAPP(c_List_Onth(_u18174), _u18175), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18174)), _u18175)), hAPP(c_Nat_OSuc, _u18173)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_rev__update ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_rev__update-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18176), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18177)), _u18178))) | ( hAPP(c_List_Orev(_u18177), hAPP(hAPP(c_List_Olist__update(_u18177, _u18178), _u18176), _u18179)) = hAPP(hAPP(c_List_Olist__update(_u18177, hAPP(c_List_Orev(_u18177), _u18178)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18177)), _u18178)), _u18176)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u18179)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__rev__nth__mono ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__rev__nth__mono-1, axiom, ( ~class_Orderings_Olinorder(_u18180) | ~c_List_Olinorder__class_Osorted(_u18180, hAPP(c_List_Orev(_u18180), _u18181)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18182), _u18183)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18183), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18180)), _u18181))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18180), hAPP(hAPP(c_List_Onth(_u18180), _u18181), _u18183)), hAPP(hAPP(c_List_Onth(_u18180), _u18181), _u18182))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_foldr__max__sorted ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_foldr__max__sorted-1, axiom, ( ~class_Orderings_Olinorder(_u18184) | ~c_List_Olinorder__class_Osorted(_u18184, hAPP(c_List_Orev(_u18184), _u18185)) | ( _u18185 != c_List_Olist_ONil(_u18184)) | ( c_List_Ofoldr(_u18184, _u18184, c_Orderings_Oord__class_Omax(_u18184), _u18185, _u18186) = _u18186) )).
% 19.51/19.73 cnf(fact_foldr__max__sorted-2, axiom, ( ~class_Orderings_Olinorder(_u18184) | ~c_List_Olinorder__class_Osorted(_u18184, hAPP(c_List_Orev(_u18184), _u18185)) | ( _u18185 = c_List_Olist_ONil(_u18184)) | ( c_List_Ofoldr(_u18184, _u18184, c_Orderings_Oord__class_Omax(_u18184), _u18185, _u18186) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u18184), hAPP(hAPP(c_List_Onth(_u18184), _u18185), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u18186)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_length__transpose__sorted ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_length__transpose__sorted-1, axiom, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18187), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18187))), _u18188))) | ( _u18188 != c_List_Olist_ONil(tc_List_Olist(_u18187))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18187))), c_List_Otranspose(_u18187, _u18188)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.73 cnf(fact_length__transpose__sorted-2, axiom, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18187), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18187))), _u18188))) | ( _u18188 = c_List_Olist_ONil(tc_List_Olist(_u18187))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18187))), c_List_Otranspose(_u18187, _u18188)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18187)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18187)), _u18188), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_transpose__column__length ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_transpose__column__length-1, axiom, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18189), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18189))), _u18190))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18191), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18189))), _u18190))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18189))), hAPP(c_List_Ofilter(tc_List_Olist(_u18189), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18189)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18191)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18189)))), c_List_Otranspose(_u18189, _u18190))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18189)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18189)), _u18190), _u18191))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_transpose__transpose ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_transpose__transpose-1, axiom, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18192), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18192))), _u18193))) | ( c_List_Otranspose(_u18192, c_List_Otranspose(_u18192, _u18193)) = c_List_OtakeWhile(tc_List_Olist(_u18192), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18192)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18192), tc_List_Olist(_u18192), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18192))), _u18193)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_transfer__nat__int__list__functions_I2_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_transfer__nat__int__list__functions_I2_J-1, axiom, ( ( c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__takeWhile ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__takeWhile-1, axiom, ( ~class_Orderings_Olinorder(_u18194) | ~c_List_Olinorder__class_Osorted(_u18194, _u18195) | c_List_Olinorder__class_Osorted(_u18194, c_List_OtakeWhile(_u18194, _u18196, _u18195)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_length__takeWhile__le ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_length__takeWhile__le-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18197)), c_List_OtakeWhile(_u18197, _u18198, _u18199))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18197)), _u18199))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_set__takeWhileD ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_set__takeWhileD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18200), _u18201), hAPP(c_List_Oset(_u18200), c_List_OtakeWhile(_u18200, _u18202, _u18203)))) | hBOOL(hAPP(hAPP(c_member(_u18200), _u18201), hAPP(c_List_Oset(_u18200), _u18203))) )).
% 19.51/19.73 cnf(fact_set__takeWhileD-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18200), _u18201), hAPP(c_List_Oset(_u18200), c_List_OtakeWhile(_u18200, _u18202, _u18203)))) | hBOOL(hAPP(_u18202, _u18201)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_takeWhile__eq__all__conv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_takeWhile__eq__all__conv-1, axiom, ( ( c_List_OtakeWhile(_u18209, _u18211, _u18213) != _u18213) | ~hBOOL(hAPP(hAPP(c_member(_u18209), _u18204), hAPP(c_List_Oset(_u18209), _u18213))) | hBOOL(hAPP(_u18211, _u18204)) )).
% 19.51/19.73 cnf(fact_takeWhile__eq__all__conv-2, axiom, ( ( c_List_OtakeWhile(_u18210, _u18212, _u18214) = _u18214) | hBOOL(hAPP(hAPP(c_member(_u18210), skolem448(_u18214, _u18212, _u18210)), hAPP(c_List_Oset(_u18210), _u18214))) )).
% 19.51/19.73 cnf(fact_takeWhile__eq__all__conv-3, axiom, ( ( c_List_OtakeWhile(_u18210, _u18212, _u18214) = _u18214) | ~hBOOL(hAPP(_u18212, skolem448(_u18214, _u18212, _u18210))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_zip__takeWhile__snd ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_zip__takeWhile__snd-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u18215, _u18216), _u18217), c_List_OtakeWhile(_u18216, _u18218, _u18219)) = c_List_OtakeWhile(tc_prod(_u18215, _u18216), hAPP(c_Fun_Ocomp(_u18216, tc_HOL_Obool, tc_prod(_u18215, _u18216), _u18218), c_Product__Type_Osnd(_u18215, _u18216)), hAPP(hAPP(c_List_Ozip(_u18215, _u18216), _u18217), _u18219))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_zip__takeWhile__fst ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_zip__takeWhile__fst-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u18220, _u18221), c_List_OtakeWhile(_u18220, _u18222, _u18223)), _u18224) = c_List_OtakeWhile(tc_prod(_u18220, _u18221), hAPP(c_Fun_Ocomp(_u18220, tc_HOL_Obool, tc_prod(_u18220, _u18221), _u18222), c_Product__Type_Ofst(_u18220, _u18221)), hAPP(hAPP(c_List_Ozip(_u18220, _u18221), _u18223), _u18224))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_takeWhile__map ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_takeWhile__map-1, axiom, ( ( c_List_OtakeWhile(_u18225, _u18226, hAPP(hAPP(c_List_Omap(_u18227, _u18225), _u18228), _u18229)) = hAPP(hAPP(c_List_Omap(_u18227, _u18225), _u18228), c_List_OtakeWhile(_u18227, hAPP(c_Fun_Ocomp(_u18225, tc_HOL_Obool, _u18227, _u18226), _u18228), _u18229))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_takeWhile__tail ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_takeWhile__tail-1, axiom, ( hBOOL(hAPP(_u18230, _u18231)) | ( c_List_OtakeWhile(_u18232, _u18230, hAPP(hAPP(c_List_Oappend(_u18232), _u18233), hAPP(hAPP(c_List_Olist_OCons(_u18232), _u18231), _u18234))) = c_List_OtakeWhile(_u18232, _u18230, _u18233)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_takeWhile_Osimps_I2_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_takeWhile_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(_u18239, _u18241)) | ( c_List_OtakeWhile(_u18243, _u18239, hAPP(hAPP(c_List_Olist_OCons(_u18243), _u18241), _u18245)) = hAPP(hAPP(c_List_Olist_OCons(_u18243), _u18241), c_List_OtakeWhile(_u18243, _u18239, _u18245))) )).
% 19.51/19.73 cnf(fact_takeWhile_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(_u18240, _u18242)) | ( c_List_OtakeWhile(_u18244, _u18240, hAPP(hAPP(c_List_Olist_OCons(_u18244), _u18242), _u18246)) = c_List_Olist_ONil(_u18244)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_takeWhile_Osimps_I1_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_takeWhile_Osimps_I1_J-1, axiom, ( ( c_List_OtakeWhile(_u18247, _u18248, c_List_Olist_ONil(_u18247)) = c_List_Olist_ONil(_u18247)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_takeWhile__eq__take ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_takeWhile__eq__take-1, axiom, ( ( c_List_OtakeWhile(_u18249, _u18250, _u18251) = hAPP(hAPP(c_List_Otake(_u18249), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18249)), c_List_OtakeWhile(_u18249, _u18250, _u18251))), _u18251)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_distinct__takeWhile ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_distinct__takeWhile-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18252), _u18253)) | hBOOL(hAPP(c_List_Odistinct(_u18252), c_List_OtakeWhile(_u18252, _u18254, _u18253))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_return__list__def ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_return__list__def-1, axiom, ( ( c_List_Oreturn__list(_u18255) = hAPP(hAPP(c_List_Omap(tc_Int_Oint, tc_Nat_Onat), c_Int_Onat), _u18255)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_takeWhile__append1 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_takeWhile__append1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18256), _u18257), hAPP(c_List_Oset(_u18256), _u18258))) | hBOOL(hAPP(_u18259, _u18257)) | ( c_List_OtakeWhile(_u18256, _u18259, hAPP(hAPP(c_List_Oappend(_u18256), _u18258), _u18260)) = c_List_OtakeWhile(_u18256, _u18259, _u18258)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_nth__length__takeWhile ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_nth__length__takeWhile-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18261)), c_List_OtakeWhile(_u18261, _u18262, _u18263))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18261)), _u18263))) | ~hBOOL(hAPP(_u18262, hAPP(hAPP(c_List_Onth(_u18261), _u18263), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18261)), c_List_OtakeWhile(_u18261, _u18262, _u18263))))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_takeWhile__nth ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_takeWhile__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18264), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18265)), c_List_OtakeWhile(_u18265, _u18266, _u18267)))) | ( hAPP(hAPP(c_List_Onth(_u18265), c_List_OtakeWhile(_u18265, _u18266, _u18267)), _u18264) = hAPP(hAPP(c_List_Onth(_u18265), _u18267), _u18264)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_takeWhile__not__last ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_takeWhile__not__last-1, axiom, ( ( _u18268 = c_List_Olist_ONil(_u18269)) | ~hBOOL(hAPP(c_List_Odistinct(_u18269), _u18268)) | ( c_List_OtakeWhile(_u18269, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18269), c_fNot), hAPP(hAPP(c_COMBC(_u18269, _u18269, tc_HOL_Obool), c_fequal), c_List_Olast(_u18269, _u18268))), _u18268) = c_List_Obutlast(_u18269, _u18268)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_filter__equals__takeWhile__sorted__rev ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_filter__equals__takeWhile__sorted__rev-1, axiom, ( ~class_Orderings_Olinorder(_u18270) | ~c_List_Olinorder__class_Osorted(_u18270, hAPP(c_List_Orev(_u18270), hAPP(hAPP(c_List_Omap(_u18271, _u18270), _u18272), _u18273))) | ( hAPP(c_List_Ofilter(_u18271, hAPP(hAPP(c_COMBB(_u18270, tc_HOL_Obool, _u18271), hAPP(c_Orderings_Oord__class_Oless(_u18270), _u18274)), _u18272)), _u18273) = c_List_OtakeWhile(_u18271, hAPP(hAPP(c_COMBB(_u18270, tc_HOL_Obool, _u18271), hAPP(c_Orderings_Oord__class_Oless(_u18270), _u18274)), _u18272), _u18273)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_transfer__nat__int__list__return__embed ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_transfer__nat__int__list__return__embed-1, axiom, ( ~c_List_Onat__list(_u18275) | ( c_List_Oembed__list(c_List_Oreturn__list(_u18275)) = _u18275) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_transfer__nat__int__list__functions_I1_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_transfer__nat__int__list__functions_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), _u18276), _u18277) = c_List_Oreturn__list(hAPP(hAPP(c_List_Oappend(tc_Int_Oint), c_List_Oembed__list(_u18276)), c_List_Oembed__list(_u18277)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_embed__list__def ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_embed__list__def-1, axiom, ( ( c_List_Oembed__list(_u18278) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Int_Oint), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u18278)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_takeWhile__neq__rev ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_takeWhile__neq__rev-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18279), _u18280)) | ~hBOOL(hAPP(hAPP(c_member(_u18279), _u18281), hAPP(c_List_Oset(_u18279), _u18280))) | ( c_List_OtakeWhile(_u18279, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18279), c_fNot), hAPP(hAPP(c_COMBC(_u18279, _u18279, tc_HOL_Obool), c_fequal), _u18281)), hAPP(c_List_Orev(_u18279), _u18280)) = hAPP(c_List_Orev(_u18279), hAPP(c_List_Otl(_u18279), c_List_OdropWhile(_u18279, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18279), c_fNot), hAPP(hAPP(c_COMBC(_u18279, _u18279, tc_HOL_Obool), c_fequal), _u18281)), _u18280)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_dropWhile__neq__rev ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_dropWhile__neq__rev-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18282), _u18283)) | ~hBOOL(hAPP(hAPP(c_member(_u18282), _u18284), hAPP(c_List_Oset(_u18282), _u18283))) | ( c_List_OdropWhile(_u18282, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18282), c_fNot), hAPP(hAPP(c_COMBC(_u18282, _u18282, tc_HOL_Obool), c_fequal), _u18284)), hAPP(c_List_Orev(_u18282), _u18283)) = hAPP(hAPP(c_List_Olist_OCons(_u18282), _u18284), hAPP(c_List_Orev(_u18282), c_List_OtakeWhile(_u18282, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18282), c_fNot), hAPP(hAPP(c_COMBC(_u18282, _u18282, tc_HOL_Obool), c_fequal), _u18284)), _u18283)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_takeWhile__dropWhile__id ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_takeWhile__dropWhile__id-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u18285), c_List_OtakeWhile(_u18285, _u18286, _u18287)), c_List_OdropWhile(_u18285, _u18286, _u18287)) = _u18287) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__dropWhile ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__dropWhile-1, axiom, ( ~class_Orderings_Olinorder(_u18288) | ~c_List_Olinorder__class_Osorted(_u18288, _u18289) | c_List_Olinorder__class_Osorted(_u18288, c_List_OdropWhile(_u18288, _u18290, _u18289)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_length__dropWhile__le ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_length__dropWhile__le-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18291)), c_List_OdropWhile(_u18291, _u18292, _u18293))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18291)), _u18293))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_dropWhile__eq__Nil__conv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_dropWhile__eq__Nil__conv-1, axiom, ( ( c_List_OdropWhile(_u18299, _u18301, _u18303) != c_List_Olist_ONil(_u18299)) | ~hBOOL(hAPP(hAPP(c_member(_u18299), _u18294), hAPP(c_List_Oset(_u18299), _u18303))) | hBOOL(hAPP(_u18301, _u18294)) )).
% 19.51/19.73 cnf(fact_dropWhile__eq__Nil__conv-2, axiom, ( ( c_List_OdropWhile(_u18300, _u18302, _u18304) = c_List_Olist_ONil(_u18300)) | hBOOL(hAPP(hAPP(c_member(_u18300), skolem449(_u18304, _u18302, _u18300)), hAPP(c_List_Oset(_u18300), _u18304))) )).
% 19.51/19.73 cnf(fact_dropWhile__eq__Nil__conv-3, axiom, ( ( c_List_OdropWhile(_u18300, _u18302, _u18304) = c_List_Olist_ONil(_u18300)) | ~hBOOL(hAPP(_u18302, skolem449(_u18304, _u18302, _u18300))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_dropWhile_Osimps_I2_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_dropWhile_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(_u18309, _u18311)) | ( c_List_OdropWhile(_u18313, _u18309, hAPP(hAPP(c_List_Olist_OCons(_u18313), _u18311), _u18315)) = c_List_OdropWhile(_u18313, _u18309, _u18315)) )).
% 19.51/19.73 cnf(fact_dropWhile_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(_u18310, _u18312)) | ( c_List_OdropWhile(_u18314, _u18310, hAPP(hAPP(c_List_Olist_OCons(_u18314), _u18312), _u18316)) = hAPP(hAPP(c_List_Olist_OCons(_u18314), _u18312), _u18316)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_dropWhile_Osimps_I1_J ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_dropWhile_Osimps_I1_J-1, axiom, ( ( c_List_OdropWhile(_u18317, _u18318, c_List_Olist_ONil(_u18317)) = c_List_Olist_ONil(_u18317)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_distinct__dropWhile ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_distinct__dropWhile-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18319), _u18320)) | hBOOL(hAPP(c_List_Odistinct(_u18319), c_List_OdropWhile(_u18319, _u18321, _u18320))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_hd__dropWhile ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_hd__dropWhile-1, axiom, ( ( c_List_OdropWhile(_u18322, _u18323, _u18324) = c_List_Olist_ONil(_u18322)) | ~hBOOL(hAPP(_u18323, hAPP(c_List_Ohd(_u18322), c_List_OdropWhile(_u18322, _u18323, _u18324)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_dropWhile__map ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_dropWhile__map-1, axiom, ( ( c_List_OdropWhile(_u18325, _u18326, hAPP(hAPP(c_List_Omap(_u18327, _u18325), _u18328), _u18329)) = hAPP(hAPP(c_List_Omap(_u18327, _u18325), _u18328), c_List_OdropWhile(_u18327, hAPP(c_Fun_Ocomp(_u18325, tc_HOL_Obool, _u18327, _u18326), _u18328), _u18329))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_dropWhile__append1 ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_dropWhile__append1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18330), _u18331), hAPP(c_List_Oset(_u18330), _u18332))) | hBOOL(hAPP(_u18333, _u18331)) | ( c_List_OdropWhile(_u18330, _u18333, hAPP(hAPP(c_List_Oappend(_u18330), _u18332), _u18334)) = hAPP(hAPP(c_List_Oappend(_u18330), c_List_OdropWhile(_u18330, _u18333, _u18332)), _u18334)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_dropWhile__eq__Cons__conv ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_dropWhile__eq__Cons__conv-1, axiom, ( ( c_List_OdropWhile(_u18340, _u18342, _u18344) != hAPP(hAPP(c_List_Olist_OCons(_u18340), _u18346), _u18348)) | ( _u18344 = hAPP(hAPP(c_List_Oappend(_u18340), c_List_OtakeWhile(_u18340, _u18342, _u18344)), hAPP(hAPP(c_List_Olist_OCons(_u18340), _u18346), _u18348))) )).
% 19.51/19.73 cnf(fact_dropWhile__eq__Cons__conv-2, axiom, ( ( c_List_OdropWhile(_u18340, _u18342, _u18344) != hAPP(hAPP(c_List_Olist_OCons(_u18340), _u18346), _u18348)) | ~hBOOL(hAPP(_u18342, _u18346)) )).
% 19.51/19.73 cnf(fact_dropWhile__eq__Cons__conv-3, axiom, ( ( _u18345 != hAPP(hAPP(c_List_Oappend(_u18341), c_List_OtakeWhile(_u18341, _u18343, _u18345)), hAPP(hAPP(c_List_Olist_OCons(_u18341), _u18347), _u18349))) | hBOOL(hAPP(_u18343, _u18347)) | ( c_List_OdropWhile(_u18341, _u18343, _u18345) = hAPP(hAPP(c_List_Olist_OCons(_u18341), _u18347), _u18349)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_dropWhile__eq__drop ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_dropWhile__eq__drop-1, axiom, ( ( c_List_OdropWhile(_u18350, _u18351, _u18352) = hAPP(hAPP(c_List_Odrop(_u18350), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18350)), c_List_OtakeWhile(_u18350, _u18351, _u18352))), _u18352)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_dropWhile__nth ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_dropWhile__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18353), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18354)), c_List_OdropWhile(_u18354, _u18355, _u18356)))) | ( hAPP(hAPP(c_List_Onth(_u18354), c_List_OdropWhile(_u18354, _u18355, _u18356)), _u18353) = hAPP(hAPP(c_List_Onth(_u18354), _u18356), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18353), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18354)), c_List_OtakeWhile(_u18354, _u18355, _u18356))))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_listsum__map__filter ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_listsum__map__filter-1, axiom, ( ~class_Groups_Omonoid__add(_u18358) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18358), hAPP(hAPP(c_List_Omap(_u18359, _u18358), _u18362), hAPP(c_List_Ofilter(_u18359, _u18361), _u18360))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18358), hAPP(hAPP(c_List_Omap(_u18359, _u18358), _u18362), _u18360))) | hBOOL(hAPP(hAPP(c_member(_u18359), skolem450(_u18362, _u18361, _u18360, _u18359, _u18358)), hAPP(c_List_Oset(_u18359), _u18360))) )).
% 19.51/19.73 cnf(fact_listsum__map__filter-2, axiom, ( ~class_Groups_Omonoid__add(_u18358) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18358), hAPP(hAPP(c_List_Omap(_u18359, _u18358), _u18362), hAPP(c_List_Ofilter(_u18359, _u18361), _u18360))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18358), hAPP(hAPP(c_List_Omap(_u18359, _u18358), _u18362), _u18360))) | ~hBOOL(hAPP(_u18361, skolem450(_u18362, _u18361, _u18360, _u18359, _u18358))) )).
% 19.51/19.73 cnf(fact_listsum__map__filter-3, axiom, ( ~class_Groups_Omonoid__add(_u18358) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18358), hAPP(hAPP(c_List_Omap(_u18359, _u18358), _u18362), hAPP(c_List_Ofilter(_u18359, _u18361), _u18360))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18358), hAPP(hAPP(c_List_Omap(_u18359, _u18358), _u18362), _u18360))) | ( hAPP(_u18362, skolem450(_u18362, _u18361, _u18360, _u18359, _u18358)) != c_Groups_Ozero__class_Ozero(_u18358)) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_sorted__nth__monoI ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_sorted__nth__monoI-1, axiom, ( ~class_Orderings_Olinorder(_u18365) | c_List_Olinorder__class_Osorted(_u18365, _u18366) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem451(_u18366, _u18365)), skolem452(_u18366, _u18365))) )).
% 19.51/19.73 cnf(fact_sorted__nth__monoI-2, axiom, ( ~class_Orderings_Olinorder(_u18365) | c_List_Olinorder__class_Osorted(_u18365, _u18366) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem452(_u18366, _u18365)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18365)), _u18366))) )).
% 19.51/19.73 cnf(fact_sorted__nth__monoI-3, axiom, ( ~class_Orderings_Olinorder(_u18365) | c_List_Olinorder__class_Osorted(_u18365, _u18366) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18365), hAPP(hAPP(c_List_Onth(_u18365), _u18366), skolem451(_u18366, _u18365))), hAPP(hAPP(c_List_Onth(_u18365), _u18366), skolem452(_u18366, _u18365)))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_takeWhile__eq__filter ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_takeWhile__eq__filter-1, axiom, ( ( c_List_OtakeWhile(_u18368, _u18369, _u18370) = hAPP(c_List_Ofilter(_u18368, _u18369), _u18370)) | hBOOL(hAPP(hAPP(c_member(_u18368), skolem453(_u18370, _u18369, _u18368)), hAPP(c_List_Oset(_u18368), c_List_OdropWhile(_u18368, _u18369, _u18370)))) )).
% 19.51/19.73 cnf(fact_takeWhile__eq__filter-2, axiom, ( ( c_List_OtakeWhile(_u18368, _u18369, _u18370) = hAPP(c_List_Ofilter(_u18368, _u18369), _u18370)) | hBOOL(hAPP(_u18369, skolem453(_u18370, _u18369, _u18368))) )).
% 19.51/19.73
% 19.51/19.73 % Formula: fact_takeWhile__eq__take__P__nth ( axiom ) converted to clauses:
% 19.51/19.73 cnf(fact_takeWhile__eq__take__P__nth-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem454(_u18375, _u18374, _u18373, _u18372)), _u18372)) | ( c_List_OtakeWhile(_u18373, _u18375, _u18374) = hAPP(hAPP(c_List_Otake(_u18373), _u18372), _u18374)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18372), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18373)), _u18374))) )).
% 19.51/19.73 cnf(fact_takeWhile__eq__take__P__nth-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem454(_u18375, _u18374, _u18373, _u18372)), _u18372)) | ( c_List_OtakeWhile(_u18373, _u18375, _u18374) = hAPP(hAPP(c_List_Otake(_u18373), _u18372), _u18374)) | hBOOL(hAPP(_u18375, hAPP(hAPP(c_List_Onth(_u18373), _u18374), _u18372))) )).
% 19.51/19.73 cnf(fact_takeWhile__eq__take__P__nth-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem454(_u18375, _u18374, _u18373, _u18372)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18373)), _u18374))) | ( c_List_OtakeWhile(_u18373, _u18375, _u18374) = hAPP(hAPP(c_List_Otake(_u18373), _u18372), _u18374)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18372), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18373)), _u18374))) )).
% 19.51/19.73 cnf(fact_takeWhile__eq__take__P__nth-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem454(_u18375, _u18374, _u18373, _u18372)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18373)), _u18374))) | ( c_List_OtakeWhile(_u18373, _u18375, _u18374) = hAPP(hAPP(c_List_Otake(_u18373), _u18372), _u18374)) | hBOOL(hAPP(_u18375, hAPP(hAPP(c_List_Onth(_u18373), _u18374), _u18372))) )).
% 19.51/19.74 cnf(fact_takeWhile__eq__take__P__nth-5, axiom, ( ~hBOOL(hAPP(_u18375, hAPP(hAPP(c_List_Onth(_u18373), _u18374), skolem454(_u18375, _u18374, _u18373, _u18372)))) | ( c_List_OtakeWhile(_u18373, _u18375, _u18374) = hAPP(hAPP(c_List_Otake(_u18373), _u18372), _u18374)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18372), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18373)), _u18374))) )).
% 19.51/19.74 cnf(fact_takeWhile__eq__take__P__nth-6, axiom, ( ~hBOOL(hAPP(_u18375, hAPP(hAPP(c_List_Onth(_u18373), _u18374), skolem454(_u18375, _u18374, _u18373, _u18372)))) | ( c_List_OtakeWhile(_u18373, _u18375, _u18374) = hAPP(hAPP(c_List_Otake(_u18373), _u18372), _u18374)) | hBOOL(hAPP(_u18375, hAPP(hAPP(c_List_Onth(_u18373), _u18374), _u18372))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_length__takeWhile__less__P__nth ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_length__takeWhile__less__P__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18377), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18379)), _u18380))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18377), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18379)), c_List_OtakeWhile(_u18379, _u18378, _u18380)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem455(_u18380, _u18379, _u18378, _u18377)), _u18377)) )).
% 19.51/19.74 cnf(fact_length__takeWhile__less__P__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18377), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18379)), _u18380))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18377), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18379)), c_List_OtakeWhile(_u18379, _u18378, _u18380)))) | ~hBOOL(hAPP(_u18378, hAPP(hAPP(c_List_Onth(_u18379), _u18380), skolem455(_u18380, _u18379, _u18378, _u18377)))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_sorted_Osimps ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_sorted_Osimps-1, axiom, ( ~class_Orderings_Olinorder(_u18387) | ~c_List_Olinorder__class_Osorted(_u18387, _u18388) | ( _u18388 = c_List_Olist_ONil(_u18387)) | c_List_Olinorder__class_Osorted(_u18387, skolem456(_u18388, _u18387)) )).
% 19.51/19.74 cnf(fact_sorted_Osimps-2, axiom, ( ~class_Orderings_Olinorder(_u18387) | ~c_List_Olinorder__class_Osorted(_u18387, _u18388) | ( _u18388 = c_List_Olist_ONil(_u18387)) | ( _u18388 = hAPP(hAPP(c_List_Olist_OCons(_u18387), skolem457(_u18388, _u18387)), skolem456(_u18388, _u18387))) )).
% 19.51/19.74 cnf(fact_sorted_Osimps-3, axiom, ( ~class_Orderings_Olinorder(_u18387) | ~c_List_Olinorder__class_Osorted(_u18387, _u18388) | ( _u18388 = c_List_Olist_ONil(_u18387)) | ~hBOOL(hAPP(hAPP(c_member(_u18387), _u18381), hAPP(c_List_Oset(_u18387), skolem456(_u18388, _u18387)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18387), skolem457(_u18388, _u18387)), _u18381)) )).
% 19.51/19.74 cnf(fact_sorted_Osimps-4, axiom, ( ~class_Orderings_Olinorder(_u18387) | c_List_Olinorder__class_Osorted(_u18387, _u18388) | ( _u18388 != c_List_Olist_ONil(_u18387)) )).
% 19.51/19.74 cnf(fact_sorted_Osimps-5, axiom, ( ~class_Orderings_Olinorder(_u18387) | c_List_Olinorder__class_Osorted(_u18387, _u18388) | ~c_List_Olinorder__class_Osorted(_u18387, _u18386) | ( _u18388 != hAPP(hAPP(c_List_Olist_OCons(_u18387), _u18385), _u18386)) | hBOOL(hAPP(hAPP(c_member(_u18387), skolem458(_u18388, _u18387, _u18386, _u18385)), hAPP(c_List_Oset(_u18387), _u18386))) )).
% 19.51/19.74 cnf(fact_sorted_Osimps-6, axiom, ( ~class_Orderings_Olinorder(_u18387) | c_List_Olinorder__class_Osorted(_u18387, _u18388) | ~c_List_Olinorder__class_Osorted(_u18387, _u18386) | ( _u18388 != hAPP(hAPP(c_List_Olist_OCons(_u18387), _u18385), _u18386)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18387), _u18385), skolem458(_u18388, _u18387, _u18386, _u18385))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_not__in__set__insert ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_not__in__set__insert-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18389), _u18390), hAPP(c_List_Oset(_u18389), _u18391))) | ( c_List_Oinsert(_u18389, _u18390, _u18391) = hAPP(hAPP(c_List_Olist_OCons(_u18389), _u18390), _u18391)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_List_Oinsert__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_List_Oinsert__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18395), _u18397), hAPP(c_List_Oset(_u18395), _u18399))) | ( c_List_Oinsert(_u18395, _u18397, _u18399) = _u18399) )).
% 19.51/19.74 cnf(fact_List_Oinsert__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18396), _u18398), hAPP(c_List_Oset(_u18396), _u18400))) | ( c_List_Oinsert(_u18396, _u18398, _u18400) = hAPP(hAPP(c_List_Olist_OCons(_u18396), _u18398), _u18400)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_insert__remdups ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_insert__remdups-1, axiom, ( ( c_List_Oinsert(_u18401, _u18402, c_List_Oremdups(_u18401, _u18403)) = c_List_Oremdups(_u18401, c_List_Oinsert(_u18401, _u18402, _u18403))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_distinct__insert ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_distinct__insert-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18404), _u18405)) | hBOOL(hAPP(c_List_Odistinct(_u18404), c_List_Oinsert(_u18404, _u18406, _u18405))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_in__set__insert ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_in__set__insert-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18407), _u18408), hAPP(c_List_Oset(_u18407), _u18409))) | ( c_List_Oinsert(_u18407, _u18408, _u18409) = _u18409) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_List_Oset__insert ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_List_Oset__insert-1, axiom, ( ( hAPP(c_List_Oset(_u18410), c_List_Oinsert(_u18410, _u18411, _u18412)) = hAPP(hAPP(c_Set_Oinsert(_u18410), _u18411), hAPP(c_List_Oset(_u18410), _u18412))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_insert__Nil ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_insert__Nil-1, axiom, ( ( c_List_Oinsert(_u18413, _u18414, c_List_Olist_ONil(_u18413)) = hAPP(hAPP(c_List_Olist_OCons(_u18413), _u18414), c_List_Olist_ONil(_u18413))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_concat__map__maps ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_concat__map__maps-1, axiom, ( ( c_List_Oconcat(_u18415, hAPP(hAPP(c_List_Omap(_u18416, tc_List_Olist(_u18415)), _u18417), _u18418)) = c_List_Omaps(_u18416, _u18415, _u18417, _u18418)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_maps__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_maps__def-1, axiom, ( ( c_List_Omaps(_u18419, _u18420, _u18421, _u18422) = c_List_Oconcat(_u18420, hAPP(hAPP(c_List_Omap(_u18419, tc_List_Olist(_u18420)), _u18421), _u18422))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_maps__simps_I2_J ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_maps__simps_I2_J-1, axiom, ( ( c_List_Omaps(_u18423, _u18424, _u18425, c_List_Olist_ONil(_u18423)) = c_List_Olist_ONil(_u18424)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_maps__simps_I1_J ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_maps__simps_I1_J-1, axiom, ( ( c_List_Omaps(_u18426, _u18427, _u18428, hAPP(hAPP(c_List_Olist_OCons(_u18426), _u18429), _u18430)) = hAPP(hAPP(c_List_Oappend(_u18427), hAPP(_u18428, _u18429)), c_List_Omaps(_u18426, _u18427, _u18428, _u18430))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_distinct__concat ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_distinct__concat-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18434)), _u18435)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18434)), skolem459(_u18435, _u18434)), hAPP(c_List_Oset(tc_List_Olist(_u18434)), _u18435))) | hBOOL(hAPP(c_List_Odistinct(_u18434), c_List_Oconcat(_u18434, _u18435))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18434)), skolem460(_u18435, _u18434)), hAPP(c_List_Oset(tc_List_Olist(_u18434)), _u18435))) )).
% 19.51/19.74 cnf(fact_distinct__concat-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18434)), _u18435)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18434)), skolem459(_u18435, _u18434)), hAPP(c_List_Oset(tc_List_Olist(_u18434)), _u18435))) | hBOOL(hAPP(c_List_Odistinct(_u18434), c_List_Oconcat(_u18434, _u18435))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18434)), skolem461(_u18435, _u18434)), hAPP(c_List_Oset(tc_List_Olist(_u18434)), _u18435))) )).
% 19.51/19.74 cnf(fact_distinct__concat-3, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18434)), _u18435)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18434)), skolem459(_u18435, _u18434)), hAPP(c_List_Oset(tc_List_Olist(_u18434)), _u18435))) | hBOOL(hAPP(c_List_Odistinct(_u18434), c_List_Oconcat(_u18434, _u18435))) | ( skolem460(_u18435, _u18434) != skolem461(_u18435, _u18434)) )).
% 19.51/19.74 cnf(fact_distinct__concat-4, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18434)), _u18435)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18434)), skolem459(_u18435, _u18434)), hAPP(c_List_Oset(tc_List_Olist(_u18434)), _u18435))) | hBOOL(hAPP(c_List_Odistinct(_u18434), c_List_Oconcat(_u18434, _u18435))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18434, tc_HOL_Obool)), hAPP(c_List_Oset(_u18434), skolem460(_u18435, _u18434))), hAPP(c_List_Oset(_u18434), skolem461(_u18435, _u18434))) != c_Orderings_Obot__class_Obot(tc_fun(_u18434, tc_HOL_Obool))) )).
% 19.51/19.74 cnf(fact_distinct__concat-5, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18434)), _u18435)) | ~hBOOL(hAPP(c_List_Odistinct(_u18434), skolem459(_u18435, _u18434))) | hBOOL(hAPP(c_List_Odistinct(_u18434), c_List_Oconcat(_u18434, _u18435))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18434)), skolem460(_u18435, _u18434)), hAPP(c_List_Oset(tc_List_Olist(_u18434)), _u18435))) )).
% 19.51/19.74 cnf(fact_distinct__concat-6, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18434)), _u18435)) | ~hBOOL(hAPP(c_List_Odistinct(_u18434), skolem459(_u18435, _u18434))) | hBOOL(hAPP(c_List_Odistinct(_u18434), c_List_Oconcat(_u18434, _u18435))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18434)), skolem461(_u18435, _u18434)), hAPP(c_List_Oset(tc_List_Olist(_u18434)), _u18435))) )).
% 19.51/19.74 cnf(fact_distinct__concat-7, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18434)), _u18435)) | ~hBOOL(hAPP(c_List_Odistinct(_u18434), skolem459(_u18435, _u18434))) | hBOOL(hAPP(c_List_Odistinct(_u18434), c_List_Oconcat(_u18434, _u18435))) | ( skolem460(_u18435, _u18434) != skolem461(_u18435, _u18434)) )).
% 19.51/19.74 cnf(fact_distinct__concat-8, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18434)), _u18435)) | ~hBOOL(hAPP(c_List_Odistinct(_u18434), skolem459(_u18435, _u18434))) | hBOOL(hAPP(c_List_Odistinct(_u18434), c_List_Oconcat(_u18434, _u18435))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18434, tc_HOL_Obool)), hAPP(c_List_Oset(_u18434), skolem460(_u18435, _u18434))), hAPP(c_List_Oset(_u18434), skolem461(_u18435, _u18434))) != c_Orderings_Obot__class_Obot(tc_fun(_u18434, tc_HOL_Obool))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_measures__lesseq ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_measures__lesseq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u18436, _u18437)), hAPP(_u18436, _u18438))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18439, _u18439)), hAPP(hAPP(c_Product__Type_OPair(_u18439, _u18439), _u18437), _u18438)), c_List_Omeasures(_u18439, _u18440))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18439, _u18439)), hAPP(hAPP(c_Product__Type_OPair(_u18439, _u18439), _u18437), _u18438)), c_List_Omeasures(_u18439, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18439, tc_Nat_Onat)), _u18436), _u18440)))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_wf__measures ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_wf__measures-1, axiom, ( c_Wellfounded_Owf(_u18441, c_List_Omeasures(_u18441, _u18442)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_in__measures_I1_J ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_in__measures_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18443, _u18443)), hAPP(hAPP(c_Product__Type_OPair(_u18443, _u18443), _u18444), _u18445)), c_List_Omeasures(_u18443, c_List_Olist_ONil(tc_fun(_u18443, tc_Nat_Onat))))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_measures__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_measures__def-1, axiom, ( ( c_List_Omeasures(_u18446, _u18447) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat), _u18446), c_List_Olex(tc_Nat_Onat, c_Wellfounded_Oless__than)), hAPP(hAPP(c_COMBC(_u18446, tc_List_Olist(tc_fun(_u18446, tc_Nat_Onat)), tc_List_Olist(tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u18446, tc_Nat_Onat), tc_Nat_Onat), tc_fun(tc_List_Olist(tc_fun(_u18446, tc_Nat_Onat)), tc_List_Olist(tc_Nat_Onat)), _u18446), c_List_Omap(tc_fun(_u18446, tc_Nat_Onat), tc_Nat_Onat)), hAPP(c_COMBC(tc_fun(_u18446, tc_Nat_Onat), _u18446, tc_Nat_Onat), c_COMBI(tc_fun(_u18446, tc_Nat_Onat))))), _u18447))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_measures__less ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_measures__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18448, _u18449)), hAPP(_u18448, _u18450))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18451, _u18451)), hAPP(hAPP(c_Product__Type_OPair(_u18451, _u18451), _u18449), _u18450)), c_List_Omeasures(_u18451, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18451, tc_Nat_Onat)), _u18448), _u18452)))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_in__measures_I2_J ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_in__measures_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18458, _u18458)), hAPP(hAPP(c_Product__Type_OPair(_u18458, _u18458), _u18460), _u18462)), c_List_Omeasures(_u18458, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18458, tc_Nat_Onat)), _u18464), _u18466)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18464, _u18460)), hAPP(_u18464, _u18462))) | ( hAPP(_u18464, _u18460) = hAPP(_u18464, _u18462)) )).
% 19.51/19.74 cnf(fact_in__measures_I2_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18458, _u18458)), hAPP(hAPP(c_Product__Type_OPair(_u18458, _u18458), _u18460), _u18462)), c_List_Omeasures(_u18458, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18458, tc_Nat_Onat)), _u18464), _u18466)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18464, _u18460)), hAPP(_u18464, _u18462))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18458, _u18458)), hAPP(hAPP(c_Product__Type_OPair(_u18458, _u18458), _u18460), _u18462)), c_List_Omeasures(_u18458, _u18466))) )).
% 19.51/19.74 cnf(fact_in__measures_I2_J-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u18459, _u18459)), hAPP(hAPP(c_Product__Type_OPair(_u18459, _u18459), _u18461), _u18463)), c_List_Omeasures(_u18459, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18459, tc_Nat_Onat)), _u18465), _u18467)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18465, _u18461)), hAPP(_u18465, _u18463))) )).
% 19.51/19.74 cnf(fact_in__measures_I2_J-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u18459, _u18459)), hAPP(hAPP(c_Product__Type_OPair(_u18459, _u18459), _u18461), _u18463)), c_List_Omeasures(_u18459, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18459, tc_Nat_Onat)), _u18465), _u18467)))) | ( hAPP(_u18465, _u18461) != hAPP(_u18465, _u18463)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18459, _u18459)), hAPP(hAPP(c_Product__Type_OPair(_u18459, _u18459), _u18461), _u18463)), c_List_Omeasures(_u18459, _u18467))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_foldl__apply ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_foldl__apply-1, axiom, ( ( hAPP(c_List_Ofoldl(_u18471, _u18469, hAPP(c_COMBC(_u18469, _u18471, _u18471), _u18473), hAPP(_u18474, _u18476)), _u18470) = hAPP(_u18474, hAPP(c_List_Ofoldl(_u18472, _u18469, hAPP(c_COMBC(_u18469, _u18472, _u18472), _u18475), _u18476), _u18470))) | hBOOL(hAPP(hAPP(c_member(_u18469), skolem462(_u18476, _u18475, _u18474, _u18473, _u18472, _u18471, _u18470, _u18469)), hAPP(c_List_Oset(_u18469), _u18470))) )).
% 19.51/19.74 cnf(fact_foldl__apply-2, axiom, ( ( hAPP(c_List_Ofoldl(_u18471, _u18469, hAPP(c_COMBC(_u18469, _u18471, _u18471), _u18473), hAPP(_u18474, _u18476)), _u18470) = hAPP(_u18474, hAPP(c_List_Ofoldl(_u18472, _u18469, hAPP(c_COMBC(_u18469, _u18472, _u18472), _u18475), _u18476), _u18470))) | ( hAPP(c_Fun_Ocomp(_u18471, _u18471, _u18472, hAPP(_u18473, skolem462(_u18476, _u18475, _u18474, _u18473, _u18472, _u18471, _u18470, _u18469))), _u18474) != hAPP(c_Fun_Ocomp(_u18472, _u18471, _u18472, _u18474), hAPP(_u18475, skolem462(_u18476, _u18475, _u18474, _u18473, _u18472, _u18471, _u18470, _u18469)))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_order__fun_I2_J ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_order__fun_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u18477) | ~class_Enum_Oenum(_u18478) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u18478, _u18477)), _u18479), _u18480)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18478, _u18477)), _u18479), _u18480)) )).
% 19.51/19.74 cnf(fact_order__fun_I2_J-2, axiom, ( ~class_Orderings_Oorder(_u18477) | ~class_Enum_Oenum(_u18478) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u18478, _u18477)), _u18479), _u18480)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18478), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18478), c_fNot), hAPP(hAPP(c_COMBS(_u18478, _u18477, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18477, tc_fun(_u18477, tc_HOL_Obool), _u18478), c_fequal), _u18479)), _u18480)))) )).
% 19.51/19.74 cnf(fact_order__fun_I2_J-3, axiom, ( ~class_Orderings_Oorder(_u18477) | ~class_Enum_Oenum(_u18478) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18478, _u18477)), _u18479), _u18480)) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18478), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18478), c_fNot), hAPP(hAPP(c_COMBS(_u18478, _u18477, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18477, tc_fun(_u18477, tc_HOL_Obool), _u18478), c_fequal), _u18479)), _u18480)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u18478, _u18477)), _u18479), _u18480)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_enum__ex__prod__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_enum__ex__prod__def-1, axiom, ( ~class_Enum_Oenum(_u18481) | ~class_Enum_Oenum(_u18482) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(_u18482, _u18481)), _u18483)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18482), hAPP(hAPP(c_COMBB(tc_fun(_u18481, tc_HOL_Obool), tc_HOL_Obool, _u18482), c_Enum_Oenum__class_Oenum__ex(_u18481)), hAPP(hAPP(c_COMBB(tc_fun(_u18481, tc_prod(_u18482, _u18481)), tc_fun(_u18481, tc_HOL_Obool), _u18482), hAPP(c_COMBB(tc_prod(_u18482, _u18481), tc_HOL_Obool, _u18481), _u18483)), c_Product__Type_OPair(_u18482, _u18481))))) )).
% 19.51/19.74 cnf(fact_enum__ex__prod__def-2, axiom, ( ~class_Enum_Oenum(_u18481) | ~class_Enum_Oenum(_u18482) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18482), hAPP(hAPP(c_COMBB(tc_fun(_u18481, tc_HOL_Obool), tc_HOL_Obool, _u18482), c_Enum_Oenum__class_Oenum__ex(_u18481)), hAPP(hAPP(c_COMBB(tc_fun(_u18481, tc_prod(_u18482, _u18481)), tc_fun(_u18481, tc_HOL_Obool), _u18482), hAPP(c_COMBB(tc_prod(_u18482, _u18481), tc_HOL_Obool, _u18481), _u18483)), c_Product__Type_OPair(_u18482, _u18481))))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(_u18482, _u18481)), _u18483)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_exists__code ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_exists__code-1, axiom, ( ~class_Enum_Oenum(_u18486) | ~hBOOL(hAPP(_u18487, _u18484)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18486), _u18487)) )).
% 19.51/19.74 cnf(fact_exists__code-2, axiom, ( ~class_Enum_Oenum(_u18486) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18486), _u18487)) | hBOOL(hAPP(_u18487, skolem463(_u18487, _u18486))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_enum__ex ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_enum__ex-1, axiom, ( ~class_Enum_Oenum(_u18490) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18490), _u18491)) | hBOOL(hAPP(_u18491, skolem464(_u18491, _u18490))) )).
% 19.51/19.74 cnf(fact_enum__ex-2, axiom, ( ~class_Enum_Oenum(_u18490) | ~hBOOL(hAPP(_u18491, _u18489)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18490), _u18491)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_zip__obtain__same__length ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_zip__obtain__same__length-1, axiom, ( hBOOL(hAPP(_u18496, hAPP(hAPP(c_List_Ozip(_u18492, _u18494), _u18493), _u18495))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18492)), hAPP(hAPP(c_List_Otake(_u18492), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18492)), _u18493)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18494)), _u18495))), _u18493)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18494)), hAPP(hAPP(c_List_Otake(_u18494), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18492)), _u18493)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18494)), _u18495))), _u18495))) )).
% 19.51/19.74 cnf(fact_zip__obtain__same__length-2, axiom, ( hBOOL(hAPP(_u18496, hAPP(hAPP(c_List_Ozip(_u18492, _u18494), _u18493), _u18495))) | ~hBOOL(hAPP(_u18496, hAPP(hAPP(c_List_Ozip(_u18492, _u18494), hAPP(hAPP(c_List_Otake(_u18492), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18492)), _u18493)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18494)), _u18495))), _u18493)), hAPP(hAPP(c_List_Otake(_u18494), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18492)), _u18493)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18494)), _u18495))), _u18495)))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_pos__not__random__dseq__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_pos__not__random__dseq__def-1, axiom, ( ( c_New__Random__Sequence_Opos__not__random__dseq(_u18497, _u18498, _u18499, _u18500) = c_New__DSequence_Opos__not__seq(hAPP(hAPP(hAPP(_u18497, _u18498), _u18499), _u18500))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dropWhile__append2 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dropWhile__append2-1, axiom, ( ( c_List_OdropWhile(_u18502, _u18504, hAPP(hAPP(c_List_Oappend(_u18502), _u18503), _u18505)) = c_List_OdropWhile(_u18502, _u18504, _u18505)) | hBOOL(hAPP(hAPP(c_member(_u18502), skolem465(_u18505, _u18504, _u18503, _u18502)), hAPP(c_List_Oset(_u18502), _u18503))) )).
% 19.51/19.74 cnf(fact_dropWhile__append2-2, axiom, ( ( c_List_OdropWhile(_u18502, _u18504, hAPP(hAPP(c_List_Oappend(_u18502), _u18503), _u18505)) = c_List_OdropWhile(_u18502, _u18504, _u18505)) | ~hBOOL(hAPP(_u18504, skolem465(_u18505, _u18504, _u18503, _u18502))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_list__all2__all__nthI ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_list__all2__all__nthI-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18507)), _u18508) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18509)), _u18510)) | c_List_Olist__all2(_u18507, _u18509, _u18511, _u18508, _u18510) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem466(_u18511, _u18510, _u18509, _u18508, _u18507)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18507)), _u18508))) )).
% 19.51/19.74 cnf(fact_list__all2__all__nthI-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18507)), _u18508) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18509)), _u18510)) | c_List_Olist__all2(_u18507, _u18509, _u18511, _u18508, _u18510) | ~hBOOL(hAPP(hAPP(_u18511, hAPP(hAPP(c_List_Onth(_u18507), _u18508), skolem466(_u18511, _u18510, _u18509, _u18508, _u18507))), hAPP(hAPP(c_List_Onth(_u18509), _u18510), skolem466(_u18511, _u18510, _u18509, _u18508, _u18507)))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_finite__sorted__distinct__unique ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_finite__sorted__distinct__unique-1, axiom, ( ~class_Orderings_Olinorder(_u18514) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18514), _u18515)) | ( hAPP(c_List_Oset(_u18514), skolem467(_u18515, _u18514)) = _u18515) )).
% 19.51/19.74 cnf(fact_finite__sorted__distinct__unique-2, axiom, ( ~class_Orderings_Olinorder(_u18514) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18514), _u18515)) | c_List_Olinorder__class_Osorted(_u18514, skolem467(_u18515, _u18514)) )).
% 19.51/19.74 cnf(fact_finite__sorted__distinct__unique-3, axiom, ( ~class_Orderings_Olinorder(_u18514) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18514), _u18515)) | hBOOL(hAPP(c_List_Odistinct(_u18514), skolem467(_u18515, _u18514))) )).
% 19.51/19.74 cnf(fact_finite__sorted__distinct__unique-4, axiom, ( ~class_Orderings_Olinorder(_u18514) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18514), _u18515)) | ( hAPP(c_List_Oset(_u18514), _u18512) != _u18515) | ~c_List_Olinorder__class_Osorted(_u18514, _u18512) | ~hBOOL(hAPP(c_List_Odistinct(_u18514), _u18512)) | ( _u18512 = skolem467(_u18515, _u18514)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_takeWhile__append2 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_takeWhile__append2-1, axiom, ( ( c_List_OtakeWhile(_u18517, _u18519, hAPP(hAPP(c_List_Oappend(_u18517), _u18518), _u18520)) = hAPP(hAPP(c_List_Oappend(_u18517), _u18518), c_List_OtakeWhile(_u18517, _u18519, _u18520))) | hBOOL(hAPP(hAPP(c_member(_u18517), skolem468(_u18520, _u18519, _u18518, _u18517)), hAPP(c_List_Oset(_u18517), _u18518))) )).
% 19.51/19.74 cnf(fact_takeWhile__append2-2, axiom, ( ( c_List_OtakeWhile(_u18517, _u18519, hAPP(hAPP(c_List_Oappend(_u18517), _u18518), _u18520)) = hAPP(hAPP(c_List_Oappend(_u18517), _u18518), c_List_OtakeWhile(_u18517, _u18519, _u18520))) | ~hBOOL(hAPP(_u18519, skolem468(_u18520, _u18519, _u18518, _u18517))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_insort__is__Cons ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_insort__is__Cons-1, axiom, ( ~class_Orderings_Olinorder(_u18522) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18523, _u18522, _u18525), _u18526), _u18524) = hAPP(hAPP(c_List_Olist_OCons(_u18523), _u18526), _u18524)) | hBOOL(hAPP(hAPP(c_member(_u18523), skolem469(_u18526, _u18525, _u18524, _u18523, _u18522)), hAPP(c_List_Oset(_u18523), _u18524))) )).
% 19.51/19.74 cnf(fact_insort__is__Cons-2, axiom, ( ~class_Orderings_Olinorder(_u18522) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18523, _u18522, _u18525), _u18526), _u18524) = hAPP(hAPP(c_List_Olist_OCons(_u18523), _u18526), _u18524)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18522), hAPP(_u18525, _u18526)), hAPP(_u18525, skolem469(_u18526, _u18525, _u18524, _u18523, _u18522)))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_filter__eq__Cons__iff ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_filter__eq__Cons__iff-1, axiom, ( ( hAPP(c_List_Ofilter(_u18538, _u18540), _u18542) != hAPP(hAPP(c_List_Olist_OCons(_u18538), _u18544), _u18546)) | hBOOL(hAPP(_u18540, _u18544)) )).
% 19.51/19.74 cnf(fact_filter__eq__Cons__iff-2, axiom, ( ( hAPP(c_List_Ofilter(_u18538, _u18540), _u18542) != hAPP(hAPP(c_List_Olist_OCons(_u18538), _u18544), _u18546)) | ~hBOOL(hAPP(hAPP(c_member(_u18538), _u18527), hAPP(c_List_Oset(_u18538), skolem470(_u18546, _u18544, _u18542, _u18540, _u18538)))) | ~hBOOL(hAPP(_u18540, _u18527)) )).
% 19.51/19.74 cnf(fact_filter__eq__Cons__iff-3, axiom, ( ( hAPP(c_List_Ofilter(_u18538, _u18540), _u18542) != hAPP(hAPP(c_List_Olist_OCons(_u18538), _u18544), _u18546)) | ( _u18542 = hAPP(hAPP(c_List_Oappend(_u18538), skolem470(_u18546, _u18544, _u18542, _u18540, _u18538)), hAPP(hAPP(c_List_Olist_OCons(_u18538), _u18544), skolem471(_u18546, _u18544, _u18542, _u18540, _u18538)))) )).
% 19.51/19.74 cnf(fact_filter__eq__Cons__iff-4, axiom, ( ( hAPP(c_List_Ofilter(_u18538, _u18540), _u18542) != hAPP(hAPP(c_List_Olist_OCons(_u18538), _u18544), _u18546)) | ( _u18546 = hAPP(c_List_Ofilter(_u18538, _u18540), skolem471(_u18546, _u18544, _u18542, _u18540, _u18538))) )).
% 19.51/19.74 cnf(fact_filter__eq__Cons__iff-5, axiom, ( ( hAPP(c_List_Ofilter(_u18539, _u18541), _u18543) = hAPP(hAPP(c_List_Olist_OCons(_u18539), _u18545), _u18547)) | ~hBOOL(hAPP(_u18541, _u18545)) | ( _u18543 != hAPP(hAPP(c_List_Oappend(_u18539), _u18532), hAPP(hAPP(c_List_Olist_OCons(_u18539), _u18545), _u18531))) | ( _u18547 != hAPP(c_List_Ofilter(_u18539, _u18541), _u18531)) | hBOOL(hAPP(hAPP(c_member(_u18539), skolem472(_u18547, _u18545, _u18543, _u18541, _u18539, _u18532)), hAPP(c_List_Oset(_u18539), _u18532))) )).
% 19.51/19.74 cnf(fact_filter__eq__Cons__iff-6, axiom, ( ( hAPP(c_List_Ofilter(_u18539, _u18541), _u18543) = hAPP(hAPP(c_List_Olist_OCons(_u18539), _u18545), _u18547)) | ~hBOOL(hAPP(_u18541, _u18545)) | ( _u18543 != hAPP(hAPP(c_List_Oappend(_u18539), _u18532), hAPP(hAPP(c_List_Olist_OCons(_u18539), _u18545), _u18531))) | ( _u18547 != hAPP(c_List_Ofilter(_u18539, _u18541), _u18531)) | hBOOL(hAPP(_u18541, skolem472(_u18547, _u18545, _u18543, _u18541, _u18539, _u18532))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_Cons__eq__filter__iff ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_Cons__eq__filter__iff-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18559), _u18561), _u18563) != hAPP(c_List_Ofilter(_u18559, _u18565), _u18567)) | hBOOL(hAPP(_u18565, _u18561)) )).
% 19.51/19.74 cnf(fact_Cons__eq__filter__iff-2, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18559), _u18561), _u18563) != hAPP(c_List_Ofilter(_u18559, _u18565), _u18567)) | ~hBOOL(hAPP(hAPP(c_member(_u18559), _u18548), hAPP(c_List_Oset(_u18559), skolem473(_u18567, _u18565, _u18563, _u18561, _u18559)))) | ~hBOOL(hAPP(_u18565, _u18548)) )).
% 19.51/19.74 cnf(fact_Cons__eq__filter__iff-3, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18559), _u18561), _u18563) != hAPP(c_List_Ofilter(_u18559, _u18565), _u18567)) | ( _u18567 = hAPP(hAPP(c_List_Oappend(_u18559), skolem473(_u18567, _u18565, _u18563, _u18561, _u18559)), hAPP(hAPP(c_List_Olist_OCons(_u18559), _u18561), skolem474(_u18567, _u18565, _u18563, _u18561, _u18559)))) )).
% 19.51/19.74 cnf(fact_Cons__eq__filter__iff-4, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18559), _u18561), _u18563) != hAPP(c_List_Ofilter(_u18559, _u18565), _u18567)) | ( _u18563 = hAPP(c_List_Ofilter(_u18559, _u18565), skolem474(_u18567, _u18565, _u18563, _u18561, _u18559))) )).
% 19.51/19.74 cnf(fact_Cons__eq__filter__iff-5, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18560), _u18562), _u18564) = hAPP(c_List_Ofilter(_u18560, _u18566), _u18568)) | ~hBOOL(hAPP(_u18566, _u18562)) | ( _u18568 != hAPP(hAPP(c_List_Oappend(_u18560), _u18553), hAPP(hAPP(c_List_Olist_OCons(_u18560), _u18562), _u18552))) | ( _u18564 != hAPP(c_List_Ofilter(_u18560, _u18566), _u18552)) | hBOOL(hAPP(hAPP(c_member(_u18560), skolem475(_u18568, _u18566, _u18564, _u18562, _u18560, _u18553)), hAPP(c_List_Oset(_u18560), _u18553))) )).
% 19.51/19.74 cnf(fact_Cons__eq__filter__iff-6, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18560), _u18562), _u18564) = hAPP(c_List_Ofilter(_u18560, _u18566), _u18568)) | ~hBOOL(hAPP(_u18566, _u18562)) | ( _u18568 != hAPP(hAPP(c_List_Oappend(_u18560), _u18553), hAPP(hAPP(c_List_Olist_OCons(_u18560), _u18562), _u18552))) | ( _u18564 != hAPP(c_List_Ofilter(_u18560, _u18566), _u18552)) | hBOOL(hAPP(_u18566, skolem475(_u18568, _u18566, _u18564, _u18562, _u18560, _u18553))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_order__fun_I1_J ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_order__fun_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u18569) | ~class_Enum_Oenum(_u18570) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18570, _u18569)), _u18571), _u18572)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18570), hAPP(hAPP(c_COMBS(_u18570, _u18569, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18569, tc_fun(_u18569, tc_HOL_Obool), _u18570), c_Orderings_Oord__class_Oless__eq(_u18569)), _u18571)), _u18572))) )).
% 19.51/19.74 cnf(fact_order__fun_I1_J-2, axiom, ( ~class_Orderings_Oorder(_u18569) | ~class_Enum_Oenum(_u18570) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18570), hAPP(hAPP(c_COMBS(_u18570, _u18569, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18569, tc_fun(_u18569, tc_HOL_Obool), _u18570), c_Orderings_Oord__class_Oless__eq(_u18569)), _u18571)), _u18572))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18570, _u18569)), _u18571), _u18572)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_enum__all ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_enum__all-1, axiom, ( ~class_Enum_Oenum(_u18575) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18575), _u18576)) | hBOOL(hAPP(_u18576, _u18573)) )).
% 19.51/19.74 cnf(fact_enum__all-2, axiom, ( ~class_Enum_Oenum(_u18575) | ~hBOOL(hAPP(_u18576, skolem476(_u18576, _u18575))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18575), _u18576)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_all__code ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_all__code-1, axiom, ( ~class_Enum_Oenum(_u18579) | ~hBOOL(hAPP(_u18580, skolem477(_u18580, _u18579))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18579), _u18580)) )).
% 19.51/19.74 cnf(fact_all__code-2, axiom, ( ~class_Enum_Oenum(_u18579) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18579), _u18580)) | hBOOL(hAPP(_u18580, _u18578)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_enum__all__prod__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_enum__all__prod__def-1, axiom, ( ~class_Enum_Oenum(_u18581) | ~class_Enum_Oenum(_u18582) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(_u18582, _u18581)), _u18583)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18582), hAPP(hAPP(c_COMBB(tc_fun(_u18581, tc_HOL_Obool), tc_HOL_Obool, _u18582), c_Enum_Oenum__class_Oenum__all(_u18581)), hAPP(hAPP(c_COMBB(tc_fun(_u18581, tc_prod(_u18582, _u18581)), tc_fun(_u18581, tc_HOL_Obool), _u18582), hAPP(c_COMBB(tc_prod(_u18582, _u18581), tc_HOL_Obool, _u18581), _u18583)), c_Product__Type_OPair(_u18582, _u18581))))) )).
% 19.51/19.74 cnf(fact_enum__all__prod__def-2, axiom, ( ~class_Enum_Oenum(_u18581) | ~class_Enum_Oenum(_u18582) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18582), hAPP(hAPP(c_COMBB(tc_fun(_u18581, tc_HOL_Obool), tc_HOL_Obool, _u18582), c_Enum_Oenum__class_Oenum__all(_u18581)), hAPP(hAPP(c_COMBB(tc_fun(_u18581, tc_prod(_u18582, _u18581)), tc_fun(_u18581, tc_HOL_Obool), _u18582), hAPP(c_COMBB(tc_prod(_u18582, _u18581), tc_HOL_Obool, _u18581), _u18583)), c_Product__Type_OPair(_u18582, _u18581))))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(_u18582, _u18581)), _u18583)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_list__ball__nth ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_list__ball__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18585), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18586)), _u18587))) | hBOOL(hAPP(_u18588, hAPP(hAPP(c_List_Onth(_u18586), _u18587), _u18585))) | hBOOL(hAPP(hAPP(c_member(_u18586), skolem478(_u18588, _u18587, _u18586, _u18585)), hAPP(c_List_Oset(_u18586), _u18587))) )).
% 19.51/19.74 cnf(fact_list__ball__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18585), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18586)), _u18587))) | hBOOL(hAPP(_u18588, hAPP(hAPP(c_List_Onth(_u18586), _u18587), _u18585))) | ~hBOOL(hAPP(_u18588, skolem478(_u18588, _u18587, _u18586, _u18585))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_sorted_OCons ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_sorted_OCons-1, axiom, ( ~class_Orderings_Olinorder(_u18590) | ~c_List_Olinorder__class_Osorted(_u18590, _u18591) | c_List_Olinorder__class_Osorted(_u18590, hAPP(hAPP(c_List_Olist_OCons(_u18590), _u18592), _u18591)) | hBOOL(hAPP(hAPP(c_member(_u18590), skolem479(_u18592, _u18591, _u18590)), hAPP(c_List_Oset(_u18590), _u18591))) )).
% 19.51/19.74 cnf(fact_sorted_OCons-2, axiom, ( ~class_Orderings_Olinorder(_u18590) | ~c_List_Olinorder__class_Osorted(_u18590, _u18591) | c_List_Olinorder__class_Osorted(_u18590, hAPP(hAPP(c_List_Olist_OCons(_u18590), _u18592), _u18591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18590), _u18592), skolem479(_u18592, _u18591, _u18590))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_list__ex__length ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_list__ex__length-1, axiom, ( ~c_List_Olist__ex(_u18598, _u18600, _u18602) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem480(_u18602, _u18600, _u18598)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18598)), _u18602))) )).
% 19.51/19.74 cnf(fact_list__ex__length-2, axiom, ( ~c_List_Olist__ex(_u18598, _u18600, _u18602) | hBOOL(hAPP(_u18600, hAPP(hAPP(c_List_Onth(_u18598), _u18602), skolem480(_u18602, _u18600, _u18598)))) )).
% 19.51/19.74 cnf(fact_list__ex__length-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18594), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18599)), _u18603))) | ~hBOOL(hAPP(_u18601, hAPP(hAPP(c_List_Onth(_u18599), _u18603), _u18594))) | c_List_Olist__ex(_u18599, _u18601, _u18603) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_in__set__conv__decomp__first ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_in__set__conv__decomp__first-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18611), _u18613), hAPP(c_List_Oset(_u18611), _u18615))) | ( _u18615 = hAPP(hAPP(c_List_Oappend(_u18611), skolem481(_u18615, _u18613, _u18611)), hAPP(hAPP(c_List_Olist_OCons(_u18611), _u18613), skolem482(_u18615, _u18613, _u18611)))) )).
% 19.51/19.74 cnf(fact_in__set__conv__decomp__first-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18611), _u18613), hAPP(c_List_Oset(_u18611), _u18615))) | ~hBOOL(hAPP(hAPP(c_member(_u18611), _u18613), hAPP(c_List_Oset(_u18611), skolem481(_u18615, _u18613, _u18611)))) )).
% 19.51/19.74 cnf(fact_in__set__conv__decomp__first-3, axiom, ( ( _u18616 != hAPP(hAPP(c_List_Oappend(_u18612), _u18607), hAPP(hAPP(c_List_Olist_OCons(_u18612), _u18614), _u18606))) | hBOOL(hAPP(hAPP(c_member(_u18612), _u18614), hAPP(c_List_Oset(_u18612), _u18607))) | hBOOL(hAPP(hAPP(c_member(_u18612), _u18614), hAPP(c_List_Oset(_u18612), _u18616))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_list__ex__simps_I2_J ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_list__ex__simps_I2_J-1, axiom, ( ~c_List_Olist__ex(_u18617, _u18618, c_List_Olist_ONil(_u18617)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_list__ex__append ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_list__ex__append-1, axiom, ( ~c_List_Olist__ex(_u18623, _u18625, hAPP(hAPP(c_List_Oappend(_u18623), _u18627), _u18629)) | c_List_Olist__ex(_u18623, _u18625, _u18627) | c_List_Olist__ex(_u18623, _u18625, _u18629) )).
% 19.51/19.74 cnf(fact_list__ex__append-2, axiom, ( c_List_Olist__ex(_u18624, _u18626, hAPP(hAPP(c_List_Oappend(_u18624), _u18628), _u18630)) | ~c_List_Olist__ex(_u18624, _u18626, _u18628) )).
% 19.51/19.74 cnf(fact_list__ex__append-3, axiom, ( c_List_Olist__ex(_u18624, _u18626, hAPP(hAPP(c_List_Oappend(_u18624), _u18628), _u18630)) | ~c_List_Olist__ex(_u18624, _u18626, _u18630) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_list__ex__iff ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_list__ex__iff-1, axiom, ( ~c_List_Olist__ex(_u18636, _u18638, _u18640) | hBOOL(hAPP(hAPP(c_member(_u18636), skolem483(_u18640, _u18638, _u18636)), hAPP(c_List_Oset(_u18636), _u18640))) )).
% 19.51/19.74 cnf(fact_list__ex__iff-2, axiom, ( ~c_List_Olist__ex(_u18636, _u18638, _u18640) | hBOOL(hAPP(_u18638, skolem483(_u18640, _u18638, _u18636))) )).
% 19.51/19.74 cnf(fact_list__ex__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18637), _u18632), hAPP(c_List_Oset(_u18637), _u18641))) | ~hBOOL(hAPP(_u18639, _u18632)) | c_List_Olist__ex(_u18637, _u18639, _u18641) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_list__ex__rev ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_list__ex__rev-1, axiom, ( ~c_List_Olist__ex(_u18645, _u18647, hAPP(c_List_Orev(_u18645), _u18649)) | c_List_Olist__ex(_u18645, _u18647, _u18649) )).
% 19.51/19.74 cnf(fact_list__ex__rev-2, axiom, ( ~c_List_Olist__ex(_u18646, _u18648, _u18650) | c_List_Olist__ex(_u18646, _u18648, hAPP(c_List_Orev(_u18646), _u18650)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_list__ex__simps_I1_J ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_list__ex__simps_I1_J-1, axiom, ( ~c_List_Olist__ex(_u18655, _u18657, hAPP(hAPP(c_List_Olist_OCons(_u18655), _u18659), _u18661)) | hBOOL(hAPP(_u18657, _u18659)) | c_List_Olist__ex(_u18655, _u18657, _u18661) )).
% 19.51/19.74 cnf(fact_list__ex__simps_I1_J-2, axiom, ( c_List_Olist__ex(_u18656, _u18658, hAPP(hAPP(c_List_Olist_OCons(_u18656), _u18660), _u18662)) | ~hBOOL(hAPP(_u18658, _u18660)) )).
% 19.51/19.74 cnf(fact_list__ex__simps_I1_J-3, axiom, ( c_List_Olist__ex(_u18656, _u18658, hAPP(hAPP(c_List_Olist_OCons(_u18656), _u18660), _u18662)) | ~c_List_Olist__ex(_u18656, _u18658, _u18662) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_in__set__conv__decomp ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_in__set__conv__decomp-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18670), _u18672), hAPP(c_List_Oset(_u18670), _u18674))) | ( _u18674 = hAPP(hAPP(c_List_Oappend(_u18670), skolem484(_u18674, _u18672, _u18670)), hAPP(hAPP(c_List_Olist_OCons(_u18670), _u18672), skolem485(_u18674, _u18672, _u18670)))) )).
% 19.51/19.74 cnf(fact_in__set__conv__decomp-2, axiom, ( ( _u18675 != hAPP(hAPP(c_List_Oappend(_u18671), _u18666), hAPP(hAPP(c_List_Olist_OCons(_u18671), _u18673), _u18665))) | hBOOL(hAPP(hAPP(c_member(_u18671), _u18673), hAPP(c_List_Oset(_u18671), _u18675))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_in__set__conv__decomp__last ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_in__set__conv__decomp__last-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18683), _u18685), hAPP(c_List_Oset(_u18683), _u18687))) | ( _u18687 = hAPP(hAPP(c_List_Oappend(_u18683), skolem486(_u18687, _u18685, _u18683)), hAPP(hAPP(c_List_Olist_OCons(_u18683), _u18685), skolem487(_u18687, _u18685, _u18683)))) )).
% 19.51/19.74 cnf(fact_in__set__conv__decomp__last-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18683), _u18685), hAPP(c_List_Oset(_u18683), _u18687))) | ~hBOOL(hAPP(hAPP(c_member(_u18683), _u18685), hAPP(c_List_Oset(_u18683), skolem487(_u18687, _u18685, _u18683)))) )).
% 19.51/19.74 cnf(fact_in__set__conv__decomp__last-3, axiom, ( ( _u18688 != hAPP(hAPP(c_List_Oappend(_u18684), _u18679), hAPP(hAPP(c_List_Olist_OCons(_u18684), _u18686), _u18678))) | hBOOL(hAPP(hAPP(c_member(_u18684), _u18686), hAPP(c_List_Oset(_u18684), _u18678))) | hBOOL(hAPP(hAPP(c_member(_u18684), _u18686), hAPP(c_List_Oset(_u18684), _u18688))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_list__all__length ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_list__all__length-1, axiom, ( ~c_List_Olist__all(_u18694, _u18696, _u18698) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18689), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18694)), _u18698))) | hBOOL(hAPP(_u18696, hAPP(hAPP(c_List_Onth(_u18694), _u18698), _u18689))) )).
% 19.51/19.74 cnf(fact_list__all__length-2, axiom, ( c_List_Olist__all(_u18695, _u18697, _u18699) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem488(_u18699, _u18697, _u18695)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18695)), _u18699))) )).
% 19.51/19.74 cnf(fact_list__all__length-3, axiom, ( c_List_Olist__all(_u18695, _u18697, _u18699) | ~hBOOL(hAPP(_u18697, hAPP(hAPP(c_List_Onth(_u18695), _u18699), skolem488(_u18699, _u18697, _u18695)))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_measure__function__int ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_measure__function__int-1, axiom, ( c_FunDef_Ois__measure(tc_Int_Oint, hAPP(c_Fun_Ocomp(tc_Int_Oint, tc_Nat_Onat, tc_Int_Oint, c_Int_Onat), c_Groups_Oabs__class_Oabs(tc_Int_Oint))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_list__all__simps_I2_J ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_list__all__simps_I2_J-1, axiom, ( c_List_Olist__all(_u18700, _u18701, c_List_Olist_ONil(_u18700)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_list__all__append ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_list__all__append-1, axiom, ( ~c_List_Olist__all(_u18706, _u18708, hAPP(hAPP(c_List_Oappend(_u18706), _u18710), _u18712)) | c_List_Olist__all(_u18706, _u18708, _u18710) )).
% 19.51/19.74 cnf(fact_list__all__append-2, axiom, ( ~c_List_Olist__all(_u18706, _u18708, hAPP(hAPP(c_List_Oappend(_u18706), _u18710), _u18712)) | c_List_Olist__all(_u18706, _u18708, _u18712) )).
% 19.51/19.74 cnf(fact_list__all__append-3, axiom, ( ~c_List_Olist__all(_u18707, _u18709, _u18711) | ~c_List_Olist__all(_u18707, _u18709, _u18713) | c_List_Olist__all(_u18707, _u18709, hAPP(hAPP(c_List_Oappend(_u18707), _u18711), _u18713)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_measure__size ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_measure__size-1, axiom, ( ~class_Nat_Osize(_u18714) | c_FunDef_Ois__measure(_u18714, c_Nat_Osize__class_Osize(_u18714)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_is__measure_Ointros ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_is__measure_Ointros-1, axiom, ( c_FunDef_Ois__measure(_u18715, _u18716) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_is__measure_Oequations ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_is__measure_Oequations-1, axiom, ( c_FunDef_Ois__measure(_u18717, _u18718) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_is__measure_Osimps ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_is__measure_Osimps-1, axiom, ( c_FunDef_Ois__measure(_u18719, _u18720) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_list__all__iff ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_list__all__iff-1, axiom, ( ~c_List_Olist__all(_u18726, _u18728, _u18730) | ~hBOOL(hAPP(hAPP(c_member(_u18726), _u18721), hAPP(c_List_Oset(_u18726), _u18730))) | hBOOL(hAPP(_u18728, _u18721)) )).
% 19.51/19.74 cnf(fact_list__all__iff-2, axiom, ( c_List_Olist__all(_u18727, _u18729, _u18731) | hBOOL(hAPP(hAPP(c_member(_u18727), skolem489(_u18731, _u18729, _u18727)), hAPP(c_List_Oset(_u18727), _u18731))) )).
% 19.51/19.74 cnf(fact_list__all__iff-3, axiom, ( c_List_Olist__all(_u18727, _u18729, _u18731) | ~hBOOL(hAPP(_u18729, skolem489(_u18731, _u18729, _u18727))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_measure__fst ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_measure__fst-1, axiom, ( ~c_FunDef_Ois__measure(_u18732, _u18733) | c_FunDef_Ois__measure(tc_prod(_u18732, _u18734), hAPP(hAPP(c_COMBB(_u18732, tc_Nat_Onat, tc_prod(_u18732, _u18734)), _u18733), c_Product__Type_Ofst(_u18732, _u18734))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_measure__snd ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_measure__snd-1, axiom, ( ~c_FunDef_Ois__measure(_u18735, _u18736) | c_FunDef_Ois__measure(tc_prod(_u18737, _u18735), hAPP(hAPP(c_COMBB(_u18735, tc_Nat_Onat, tc_prod(_u18737, _u18735)), _u18736), c_Product__Type_Osnd(_u18737, _u18735))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_list__all__rev ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_list__all__rev-1, axiom, ( ~c_List_Olist__all(_u18741, _u18743, hAPP(c_List_Orev(_u18741), _u18745)) | c_List_Olist__all(_u18741, _u18743, _u18745) )).
% 19.51/19.74 cnf(fact_list__all__rev-2, axiom, ( ~c_List_Olist__all(_u18742, _u18744, _u18746) | c_List_Olist__all(_u18742, _u18744, hAPP(c_List_Orev(_u18742), _u18746)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_list__all__simps_I1_J ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_list__all__simps_I1_J-1, axiom, ( ~c_List_Olist__all(_u18751, _u18753, hAPP(hAPP(c_List_Olist_OCons(_u18751), _u18755), _u18757)) | hBOOL(hAPP(_u18753, _u18755)) )).
% 19.51/19.74 cnf(fact_list__all__simps_I1_J-2, axiom, ( ~c_List_Olist__all(_u18751, _u18753, hAPP(hAPP(c_List_Olist_OCons(_u18751), _u18755), _u18757)) | c_List_Olist__all(_u18751, _u18753, _u18757) )).
% 19.51/19.74 cnf(fact_list__all__simps_I1_J-3, axiom, ( ~hBOOL(hAPP(_u18754, _u18756)) | ~c_List_Olist__all(_u18752, _u18754, _u18758) | c_List_Olist__all(_u18752, _u18754, hAPP(hAPP(c_List_Olist_OCons(_u18752), _u18756), _u18758)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_Ball__set__list__all ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_Ball__set__list__all-1, axiom, ( c_List_Olist__all(_u18764, _u18768, _u18766) | hBOOL(hAPP(hAPP(c_member(_u18764), skolem490(_u18768, _u18766, _u18764)), hAPP(c_List_Oset(_u18764), _u18766))) )).
% 19.51/19.74 cnf(fact_Ball__set__list__all-2, axiom, ( c_List_Olist__all(_u18764, _u18768, _u18766) | ~hBOOL(hAPP(_u18768, skolem490(_u18768, _u18766, _u18764))) )).
% 19.51/19.74 cnf(fact_Ball__set__list__all-3, axiom, ( ~c_List_Olist__all(_u18765, _u18769, _u18767) | ~hBOOL(hAPP(hAPP(c_member(_u18765), _u18760), hAPP(c_List_Oset(_u18765), _u18767))) | hBOOL(hAPP(_u18769, _u18760)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_list__all__iff__raw ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_list__all__iff__raw-1, axiom, ( ~c_List_Olist__all(_u18775, _u18777, _u18779) | ~hBOOL(hAPP(hAPP(c_member(_u18775), _u18770), hAPP(c_List_Oset(_u18775), _u18779))) | hBOOL(hAPP(_u18777, _u18770)) )).
% 19.51/19.74 cnf(fact_list__all__iff__raw-2, axiom, ( c_List_Olist__all(_u18776, _u18778, _u18780) | hBOOL(hAPP(hAPP(c_member(_u18776), skolem491(_u18780, _u18778, _u18776)), hAPP(c_List_Oset(_u18776), _u18780))) )).
% 19.51/19.74 cnf(fact_list__all__iff__raw-3, axiom, ( c_List_Olist__all(_u18776, _u18778, _u18780) | ~hBOOL(hAPP(_u18778, skolem491(_u18780, _u18778, _u18776))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_list__ex1__simps_I2_J ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_list__ex1__simps_I2_J-1, axiom, ( ~c_List_Olist__ex1(_u18785, _u18787, hAPP(hAPP(c_List_Olist_OCons(_u18785), _u18789), _u18791)) | ~hBOOL(hAPP(_u18787, _u18789)) | c_List_Olist__all(_u18785, hAPP(hAPP(c_COMBS(_u18785, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18785), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18785), c_fNot), _u18787))), hAPP(c_fequal, _u18789)), _u18791) )).
% 19.51/19.74 cnf(fact_list__ex1__simps_I2_J-2, axiom, ( ~c_List_Olist__ex1(_u18785, _u18787, hAPP(hAPP(c_List_Olist_OCons(_u18785), _u18789), _u18791)) | hBOOL(hAPP(_u18787, _u18789)) | c_List_Olist__ex1(_u18785, _u18787, _u18791) )).
% 19.51/19.74 cnf(fact_list__ex1__simps_I2_J-3, axiom, ( c_List_Olist__ex1(_u18786, _u18788, hAPP(hAPP(c_List_Olist_OCons(_u18786), _u18790), _u18792)) | hBOOL(hAPP(_u18788, _u18790)) | ~c_List_Olist__ex1(_u18786, _u18788, _u18792) )).
% 19.51/19.74 cnf(fact_list__ex1__simps_I2_J-4, axiom, ( c_List_Olist__ex1(_u18786, _u18788, hAPP(hAPP(c_List_Olist_OCons(_u18786), _u18790), _u18792)) | ~c_List_Olist__all(_u18786, hAPP(hAPP(c_COMBS(_u18786, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18786), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18786), c_fNot), _u18788))), hAPP(c_fequal, _u18790)), _u18792) | ~hBOOL(hAPP(_u18788, _u18790)) )).
% 19.51/19.74 cnf(fact_list__ex1__simps_I2_J-5, axiom, ( c_List_Olist__ex1(_u18786, _u18788, hAPP(hAPP(c_List_Olist_OCons(_u18786), _u18790), _u18792)) | ~c_List_Olist__all(_u18786, hAPP(hAPP(c_COMBS(_u18786, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18786), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18786), c_fNot), _u18788))), hAPP(c_fequal, _u18790)), _u18792) | ~c_List_Olist__ex1(_u18786, _u18788, _u18792) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_transfer__morphism__int__nat ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_transfer__morphism__int__nat-1, axiom, ( c_Nat__Transfer_Otransfer__morphism(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_COMBK(tc_HOL_Obool, tc_Nat_Onat), c_fTrue)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_list__ex1__simps_I1_J ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_list__ex1__simps_I1_J-1, axiom, ( ~c_List_Olist__ex1(_u18793, _u18794, c_List_Olist_ONil(_u18793)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_bool_Osize_I4_J ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_bool_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool), c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_bool_Osize_I3_J ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_bool_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool), c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_list__ex1__iff ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_list__ex1__iff-1, axiom, ( ~c_List_Olist__ex1(_u18802, _u18804, _u18806) | hBOOL(hAPP(hAPP(c_member(_u18802), skolem492(_u18806, _u18804, _u18802)), hAPP(c_List_Oset(_u18802), _u18806))) )).
% 19.51/19.74 cnf(fact_list__ex1__iff-2, axiom, ( ~c_List_Olist__ex1(_u18802, _u18804, _u18806) | hBOOL(hAPP(_u18804, skolem492(_u18806, _u18804, _u18802))) )).
% 19.51/19.74 cnf(fact_list__ex1__iff-3, axiom, ( ~c_List_Olist__ex1(_u18802, _u18804, _u18806) | ~hBOOL(hAPP(hAPP(c_member(_u18802), _u18795), hAPP(c_List_Oset(_u18802), _u18806))) | ~hBOOL(hAPP(_u18804, _u18795)) | ( _u18795 = skolem492(_u18806, _u18804, _u18802)) )).
% 19.51/19.74 cnf(fact_list__ex1__iff-4, axiom, ( c_List_Olist__ex1(_u18803, _u18805, _u18807) | ~hBOOL(hAPP(hAPP(c_member(_u18803), _u18798), hAPP(c_List_Oset(_u18803), _u18807))) | ~hBOOL(hAPP(_u18805, _u18798)) | hBOOL(hAPP(hAPP(c_member(_u18803), skolem493(_u18807, _u18805, _u18803, _u18798)), hAPP(c_List_Oset(_u18803), _u18807))) )).
% 19.51/19.74 cnf(fact_list__ex1__iff-5, axiom, ( c_List_Olist__ex1(_u18803, _u18805, _u18807) | ~hBOOL(hAPP(hAPP(c_member(_u18803), _u18798), hAPP(c_List_Oset(_u18803), _u18807))) | ~hBOOL(hAPP(_u18805, _u18798)) | hBOOL(hAPP(_u18805, skolem493(_u18807, _u18805, _u18803, _u18798))) )).
% 19.51/19.74 cnf(fact_list__ex1__iff-6, axiom, ( c_List_Olist__ex1(_u18803, _u18805, _u18807) | ~hBOOL(hAPP(hAPP(c_member(_u18803), _u18798), hAPP(c_List_Oset(_u18803), _u18807))) | ~hBOOL(hAPP(_u18805, _u18798)) | ( skolem493(_u18807, _u18805, _u18803, _u18798) != _u18798) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_New__DSequence_Oneg__decr__bind__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_New__DSequence_Oneg__decr__bind__def-1, axiom, ( ( _u18813 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u18815, _u18817, _u18819, _u18821), _u18813) = c_Lazy__Sequence_Ohit__bound(_u18817)) )).
% 19.51/19.74 cnf(fact_New__DSequence_Oneg__decr__bind__def-2, axiom, ( ( _u18814 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u18816, _u18818, _u18820, _u18822), _u18814) = c_Lazy__Sequence_Ohb__bind(_u18816, _u18818, hAPP(_u18820, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u18814), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBC(_u18816, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u18818))), _u18822), _u18814))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_New__DSequence_Opos__decr__bind__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_New__DSequence_Opos__decr__bind__def-1, axiom, ( ( _u18828 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u18830, _u18832, _u18834, _u18836), _u18828) = c_Lazy__Sequence_Oempty(_u18832)) )).
% 19.51/19.74 cnf(fact_New__DSequence_Opos__decr__bind__def-2, axiom, ( ( _u18829 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u18831, _u18833, _u18835, _u18837), _u18829) = hAPP(c_Lazy__Sequence_Obind(_u18831, _u18833, hAPP(_u18835, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u18829), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))), hAPP(hAPP(c_COMBC(_u18831, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u18833)), _u18837), _u18829))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_New__Random__Sequence_Oneg__decr__bind__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_New__Random__Sequence_Oneg__decr__bind__def-1, axiom, ( ( c_New__Random__Sequence_Oneg__decr__bind(_u18838, _u18839, _u18840, _u18841, _u18842, _u18843, _u18844) = c_New__DSequence_Oneg__decr__bind(_u18838, _u18839, hAPP(hAPP(hAPP(_u18840, _u18842), _u18843), _u18844), hAPP(hAPP(c_COMBC(_u18838, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u18839)))), hAPP(hAPP(c_COMBC(_u18838, tc_Code__Numeral_Ocode__numeral, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u18839))))), hAPP(hAPP(c_COMBC(_u18838, tc_Code__Numeral_Ocode__numeral, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u18839)))))), _u18841), _u18842)), _u18843)), _u18844))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_New__Random__Sequence_Opos__decr__bind__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_New__Random__Sequence_Opos__decr__bind__def-1, axiom, ( ( c_New__Random__Sequence_Opos__decr__bind(_u18845, _u18846, _u18847, _u18848, _u18849, _u18850, _u18851) = c_New__DSequence_Opos__decr__bind(_u18845, _u18846, hAPP(hAPP(hAPP(_u18847, _u18849), _u18850), _u18851), hAPP(hAPP(c_COMBC(_u18845, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u18846))), hAPP(hAPP(c_COMBC(_u18845, tc_Code__Numeral_Ocode__numeral, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u18846)))), hAPP(hAPP(c_COMBC(_u18845, tc_Code__Numeral_Ocode__numeral, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u18846))))), _u18848), _u18849)), _u18850)), _u18851))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_New__DSequence_Oneg__bind__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_New__DSequence_Oneg__bind__def-1, axiom, ( ( hAPP(c_New__DSequence_Oneg__bind(_u18852, _u18853, _u18854, _u18855), _u18856) = c_Lazy__Sequence_Ohb__bind(_u18852, _u18853, hAPP(_u18854, _u18856), hAPP(hAPP(c_COMBC(_u18852, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u18853))), _u18855), _u18856))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_New__DSequence_Opos__empty__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_New__DSequence_Opos__empty__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__empty(_u18857), _u18858) = c_Lazy__Sequence_Oempty(_u18857)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_pos__empty__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_pos__empty__def-1, axiom, ( ( c_New__Random__Sequence_Opos__empty(_u18859, _u18860, _u18861, _u18862) = c_New__DSequence_Opos__empty(_u18859)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_neg__bind__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_neg__bind__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(_u18863, _u18864, _u18865, _u18866), _u18867), _u18868), _u18869) = c_New__DSequence_Oneg__bind(_u18863, _u18864, hAPP(hAPP(hAPP(_u18865, _u18867), _u18868), _u18869), hAPP(hAPP(c_COMBC(_u18863, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u18864)))), hAPP(hAPP(c_COMBC(_u18863, tc_Code__Numeral_Ocode__numeral, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u18864))))), hAPP(hAPP(c_COMBC(_u18863, tc_Code__Numeral_Ocode__numeral, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u18864)))))), _u18866), _u18867)), _u18868)), _u18869))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_New__DSequence_Opos__bind__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_New__DSequence_Opos__bind__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__bind(_u18870, _u18871, _u18872, _u18873), _u18874) = hAPP(c_Lazy__Sequence_Obind(_u18870, _u18871, hAPP(_u18872, _u18874)), hAPP(hAPP(c_COMBC(_u18870, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u18871)), _u18873), _u18874))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_neg__map__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_neg__map__def-1, axiom, ( ( c_New__Random__Sequence_Oneg__map(_u18875, _u18876, _u18877, _u18878) = c_New__Random__Sequence_Oneg__bind(_u18875, _u18876, _u18878, hAPP(c_Fun_Ocomp(_u18876, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u18876)))))), _u18875, c_New__Random__Sequence_Oneg__single(_u18876)), _u18877))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_neg__single__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_neg__single__def-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(_u18879), _u18880), _u18881), _u18882), _u18883) = c_New__DSequence_Oneg__single(_u18879, _u18880)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_pos__bind__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_pos__bind__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(_u18884, _u18885, _u18886, _u18887), _u18888), _u18889), _u18890) = c_New__DSequence_Opos__bind(_u18884, _u18885, hAPP(hAPP(hAPP(_u18886, _u18888), _u18889), _u18890), hAPP(hAPP(c_COMBC(_u18884, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u18885))), hAPP(hAPP(c_COMBC(_u18884, tc_Code__Numeral_Ocode__numeral, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u18885)))), hAPP(hAPP(c_COMBC(_u18884, tc_Code__Numeral_Ocode__numeral, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u18885))))), _u18887), _u18888)), _u18889)), _u18890))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_New__DSequence_Oneg__single__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_New__DSequence_Oneg__single__def-1, axiom, ( ( hAPP(c_New__DSequence_Oneg__single(_u18891, _u18892), _u18893) = c_Lazy__Sequence_Ohb__single(_u18891, _u18892)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_pos__map__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_pos__map__def-1, axiom, ( ( c_New__Random__Sequence_Opos__map(_u18894, _u18895, _u18896, _u18897) = c_New__Random__Sequence_Opos__bind(_u18894, _u18895, _u18897, hAPP(c_Fun_Ocomp(_u18895, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u18895))))), _u18894, c_New__Random__Sequence_Opos__single(_u18895)), _u18896))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_pos__single__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_pos__single__def-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(_u18898), _u18899), _u18900), _u18901), _u18902) = c_New__DSequence_Opos__single(_u18898, _u18899)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_length__splice ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_length__splice-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18903)), c_List_Osplice(_u18903, _u18904, _u18905)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18903)), _u18904)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18903)), _u18905))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_splice_Osimps_I3_J ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_splice_Osimps_I3_J-1, axiom, ( ( c_List_Osplice(_u18906, hAPP(hAPP(c_List_Olist_OCons(_u18906), _u18907), _u18908), hAPP(hAPP(c_List_Olist_OCons(_u18906), _u18909), _u18910)) = hAPP(hAPP(c_List_Olist_OCons(_u18906), _u18907), hAPP(hAPP(c_List_Olist_OCons(_u18906), _u18909), c_List_Osplice(_u18906, _u18908, _u18910)))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_splice__Nil2 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_splice__Nil2-1, axiom, ( ( c_List_Osplice(_u18911, _u18912, c_List_Olist_ONil(_u18911)) = _u18912) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_splice_Osimps_I1_J ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_splice_Osimps_I1_J-1, axiom, ( ( c_List_Osplice(_u18913, c_List_Olist_ONil(_u18913), _u18914) = _u18914) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_splice_Osimps_I2_J ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_splice_Osimps_I2_J-1, axiom, ( ( c_List_Osplice(_u18915, hAPP(hAPP(c_List_Olist_OCons(_u18915), _u18916), _u18917), c_List_Olist_ONil(_u18915)) = hAPP(hAPP(c_List_Olist_OCons(_u18915), _u18916), _u18917)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_New__DSequence_Opos__single__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_New__DSequence_Opos__single__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__single(_u18918, _u18919), _u18920) = hAPP(c_Lazy__Sequence_Osingle(_u18918), _u18919)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_acyclicP__converse ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_acyclicP__converse-1, axiom, ( ~c_Wellfounded_Oacyclic(_u18923, hAPP(c_Set_OCollect(tc_prod(_u18923, _u18923)), hAPP(c_Product__Type_Oprod_Oprod__case(_u18923, _u18923, tc_HOL_Obool), c_Predicate_Oconversep(_u18923, _u18923, _u18925)))) | c_Wellfounded_Oacyclic(_u18923, hAPP(c_Set_OCollect(tc_prod(_u18923, _u18923)), hAPP(c_Product__Type_Oprod_Oprod__case(_u18923, _u18923, tc_HOL_Obool), _u18925))) )).
% 19.51/19.74 cnf(fact_acyclicP__converse-2, axiom, ( ~c_Wellfounded_Oacyclic(_u18924, hAPP(c_Set_OCollect(tc_prod(_u18924, _u18924)), hAPP(c_Product__Type_Oprod_Oprod__case(_u18924, _u18924, tc_HOL_Obool), _u18926))) | c_Wellfounded_Oacyclic(_u18924, hAPP(c_Set_OCollect(tc_prod(_u18924, _u18924)), hAPP(c_Product__Type_Oprod_Oprod__case(_u18924, _u18924, tc_HOL_Obool), c_Predicate_Oconversep(_u18924, _u18924, _u18926)))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_converse__meet ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_converse__meet-1, axiom, ( ( c_Predicate_Oconversep(_u18927, _u18928, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18927, tc_fun(_u18928, tc_HOL_Obool))), _u18929), _u18930)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18928, tc_fun(_u18927, tc_HOL_Obool))), c_Predicate_Oconversep(_u18927, _u18928, _u18929)), c_Predicate_Oconversep(_u18927, _u18928, _u18930))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_converse__join ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_converse__join-1, axiom, ( ( c_Predicate_Oconversep(_u18931, _u18932, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18931, tc_fun(_u18932, tc_HOL_Obool))), _u18933), _u18934)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18932, tc_fun(_u18931, tc_HOL_Obool))), c_Predicate_Oconversep(_u18931, _u18932, _u18933)), c_Predicate_Oconversep(_u18931, _u18932, _u18934))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_converse__pred__comp ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_converse__pred__comp-1, axiom, ( ( c_Predicate_Oconversep(_u18935, _u18936, c_Predicate_Opred__comp(_u18935, _u18937, _u18936, _u18938, _u18939)) = c_Predicate_Opred__comp(_u18936, _u18937, _u18935, c_Predicate_Oconversep(_u18937, _u18936, _u18939), c_Predicate_Oconversep(_u18935, _u18937, _u18938))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_conversep__eq ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_conversep__eq-1, axiom, ( ( c_Predicate_Oconversep(_u18940, _u18940, c_fequal) = c_fequal) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_conversep__conversep ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_conversep__conversep-1, axiom, ( ( c_Predicate_Oconversep(_u18941, _u18942, c_Predicate_Oconversep(_u18942, _u18941, _u18943)) = _u18943) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_conversep__iff ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_conversep__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u18953, _u18957), _u18955)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u18949, _u18951, _u18953), _u18955), _u18957)) )).
% 19.51/19.74 cnf(fact_conversep__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u18954, _u18958), _u18956)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u18950, _u18952, _u18954), _u18956), _u18958)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_conversep_Oequations ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_conversep_Oequations-1, axiom, ( hBOOL(hAPP(hAPP(_u18968, _u18972), _u18970)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u18964, _u18966, _u18968), _u18970), _u18972)) )).
% 19.51/19.74 cnf(fact_conversep_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(_u18969, _u18973), _u18971)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u18965, _u18967, _u18969), _u18971), _u18973)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_conversep_Ointros ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_conversep_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u18974, _u18975), _u18976)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u18977, _u18978, _u18974), _u18976), _u18975)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_conversepD ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_conversepD-1, axiom, ( hBOOL(hAPP(hAPP(_u18981, _u18983), _u18982)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u18979, _u18980, _u18981), _u18982), _u18983)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_conversep__noteq ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_conversep__noteq-1, axiom, ( ( _u18989 != _u18991) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u18987, _u18987, hAPP(hAPP(c_COMBB(tc_fun(_u18987, tc_HOL_Obool), tc_fun(_u18987, tc_HOL_Obool), _u18987), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18987), c_fNot)), c_fequal)), _u18989), _u18991)) )).
% 19.51/19.74 cnf(fact_conversep__noteq-2, axiom, ( ( _u18990 = _u18992) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u18988, _u18988, hAPP(hAPP(c_COMBB(tc_fun(_u18988, tc_HOL_Obool), tc_fun(_u18988, tc_HOL_Obool), _u18988), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18988), c_fNot)), c_fequal)), _u18990), _u18992)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_conversep__converse__eq ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_conversep__converse__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u18998, _u19000, hAPP(hAPP(c_COMBC(_u18998, tc_fun(tc_prod(_u18998, _u19000), tc_HOL_Obool), tc_fun(_u19000, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19000, tc_fun(tc_fun(tc_prod(_u18998, _u19000), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u18998, _u19000), tc_HOL_Obool), tc_fun(_u19000, tc_HOL_Obool)), _u18998), c_COMBC(_u19000, tc_fun(tc_prod(_u18998, _u19000), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19000, tc_prod(_u18998, _u19000)), tc_fun(_u19000, tc_fun(tc_fun(tc_prod(_u18998, _u19000), tc_HOL_Obool), tc_HOL_Obool)), _u18998), hAPP(c_COMBB(tc_prod(_u18998, _u19000), tc_fun(tc_fun(tc_prod(_u18998, _u19000), tc_HOL_Obool), tc_HOL_Obool), _u19000), c_member(tc_prod(_u18998, _u19000)))), c_Product__Type_OPair(_u18998, _u19000)))), _u19002)), _u19004), _u19006)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19000, _u18998)), hAPP(hAPP(c_Product__Type_OPair(_u19000, _u18998), _u19004), _u19006)), hAPP(c_Relation_Oconverse(_u18998, _u19000), _u19002))) )).
% 19.51/19.74 cnf(fact_conversep__converse__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19001, _u18999)), hAPP(hAPP(c_Product__Type_OPair(_u19001, _u18999), _u19005), _u19007)), hAPP(c_Relation_Oconverse(_u18999, _u19001), _u19003))) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u18999, _u19001, hAPP(hAPP(c_COMBC(_u18999, tc_fun(tc_prod(_u18999, _u19001), tc_HOL_Obool), tc_fun(_u19001, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19001, tc_fun(tc_fun(tc_prod(_u18999, _u19001), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u18999, _u19001), tc_HOL_Obool), tc_fun(_u19001, tc_HOL_Obool)), _u18999), c_COMBC(_u19001, tc_fun(tc_prod(_u18999, _u19001), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19001, tc_prod(_u18999, _u19001)), tc_fun(_u19001, tc_fun(tc_fun(tc_prod(_u18999, _u19001), tc_HOL_Obool), tc_HOL_Obool)), _u18999), hAPP(c_COMBB(tc_prod(_u18999, _u19001), tc_fun(tc_fun(tc_prod(_u18999, _u19001), tc_HOL_Obool), tc_HOL_Obool), _u19001), c_member(tc_prod(_u18999, _u19001)))), c_Product__Type_OPair(_u18999, _u19001)))), _u19003)), _u19005), _u19007)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_ ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_-1, axiom, ( ( c_Lazy__Sequence_Oproduct(_u19008, _u19009, _u19010, _u19011) = hAPP(c_Lazy__Sequence_Obind(_u19008, tc_prod(_u19008, _u19009), _u19010), hAPP(hAPP(c_COMBB(tc_fun(_u19009, tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19008, _u19009))), tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19008, _u19009)), _u19008), c_Lazy__Sequence_Obind(_u19009, tc_prod(_u19008, _u19009), _u19011)), hAPP(hAPP(c_COMBB(tc_fun(_u19009, tc_prod(_u19008, _u19009)), tc_fun(_u19009, tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19008, _u19009))), _u19008), hAPP(c_COMBB(tc_prod(_u19008, _u19009), tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19008, _u19009)), _u19009), c_Lazy__Sequence_Osingle(tc_prod(_u19008, _u19009)))), c_Product__Type_OPair(_u19008, _u19009))))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_tl__replicate ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_tl__replicate-1, axiom, ( ( _u19012 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Otl(_u19013), c_List_Oreplicate(_u19013, _u19012, _u19014)) = c_List_Oreplicate(_u19013, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19012), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u19014)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_replicate__length__filter ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_replicate__length__filter-1, axiom, ( ( c_List_Oreplicate(_u19015, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19015)), hAPP(c_List_Ofilter(_u19015, hAPP(c_fequal, _u19016)), _u19017)), _u19016) = hAPP(c_List_Ofilter(_u19015, hAPP(c_fequal, _u19016)), _u19017)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_length__replicate ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_length__replicate-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19018)), c_List_Oreplicate(_u19018, _u19019, _u19020)) = _u19019) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_map__replicate__const ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_map__replicate__const-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u19021, _u19022), hAPP(c_COMBK(_u19022, _u19021), _u19023)), _u19024) = c_List_Oreplicate(_u19022, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19021)), _u19024), _u19023)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_replicate__app__Cons__same ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_replicate__app__Cons__same-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19025), c_List_Oreplicate(_u19025, _u19026, _u19027)), hAPP(hAPP(c_List_Olist_OCons(_u19025), _u19027), _u19028)) = hAPP(hAPP(c_List_Olist_OCons(_u19025), _u19027), hAPP(hAPP(c_List_Oappend(_u19025), c_List_Oreplicate(_u19025, _u19026, _u19027)), _u19028))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_replicate__Suc ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_replicate__Suc-1, axiom, ( ( c_List_Oreplicate(_u19029, hAPP(c_Nat_OSuc, _u19030), _u19031) = hAPP(hAPP(c_List_Olist_OCons(_u19029), _u19031), c_List_Oreplicate(_u19029, _u19030, _u19031))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_rev__replicate ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_rev__replicate-1, axiom, ( ( hAPP(c_List_Orev(_u19032), c_List_Oreplicate(_u19032, _u19033, _u19034)) = c_List_Oreplicate(_u19032, _u19033, _u19034)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_take__replicate ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_take__replicate-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u19035), _u19036), c_List_Oreplicate(_u19035, _u19037, _u19038)) = c_List_Oreplicate(_u19035, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u19036), _u19037), _u19038)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_drop__replicate ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_drop__replicate-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19039), _u19040), c_List_Oreplicate(_u19039, _u19041, _u19042)) = c_List_Oreplicate(_u19039, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19041), _u19040), _u19042)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_hd__replicate ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_hd__replicate-1, axiom, ( ( _u19043 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Ohd(_u19044), c_List_Oreplicate(_u19044, _u19043, _u19045)) = _u19045) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_last__replicate ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_last__replicate-1, axiom, ( ( _u19046 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olast(_u19047, c_List_Oreplicate(_u19047, _u19046, _u19048)) = _u19048) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_zip__replicate ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_zip__replicate-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u19049, _u19050), c_List_Oreplicate(_u19049, _u19051, _u19052)), c_List_Oreplicate(_u19050, _u19053, _u19054)) = c_List_Oreplicate(tc_prod(_u19049, _u19050), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u19051), _u19053), hAPP(hAPP(c_Product__Type_OPair(_u19049, _u19050), _u19052), _u19054))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_Ball__set__replicate ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_Ball__set__replicate-1, axiom, ( hBOOL(hAPP(_u19067, _u19065)) | ( _u19063 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19061), skolem494(_u19067, _u19065, _u19063, _u19061)), hAPP(c_List_Oset(_u19061), c_List_Oreplicate(_u19061, _u19063, _u19065)))) )).
% 19.51/19.74 cnf(fact_Ball__set__replicate-2, axiom, ( hBOOL(hAPP(_u19067, _u19065)) | ( _u19063 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u19067, skolem494(_u19067, _u19065, _u19063, _u19061))) )).
% 19.51/19.74 cnf(fact_Ball__set__replicate-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19062), _u19056), hAPP(c_List_Oset(_u19062), c_List_Oreplicate(_u19062, _u19064, _u19066)))) | hBOOL(hAPP(_u19068, _u19056)) | ~hBOOL(hAPP(_u19068, _u19066)) )).
% 19.51/19.74 cnf(fact_Ball__set__replicate-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19062), _u19056), hAPP(c_List_Oset(_u19062), c_List_Oreplicate(_u19062, _u19064, _u19066)))) | hBOOL(hAPP(_u19068, _u19056)) | ( _u19064 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_Bex__set__replicate ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_Bex__set__replicate-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19075), _u19069), hAPP(c_List_Oset(_u19075), c_List_Oreplicate(_u19075, _u19077, _u19079)))) | ~hBOOL(hAPP(_u19081, _u19069)) | hBOOL(hAPP(_u19081, _u19079)) )).
% 19.51/19.74 cnf(fact_Bex__set__replicate-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19075), _u19069), hAPP(c_List_Oset(_u19075), c_List_Oreplicate(_u19075, _u19077, _u19079)))) | ~hBOOL(hAPP(_u19081, _u19069)) | ( _u19077 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.74 cnf(fact_Bex__set__replicate-3, axiom, ( ~hBOOL(hAPP(_u19082, _u19080)) | ( _u19078 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19076), skolem495(_u19082, _u19080, _u19078, _u19076)), hAPP(c_List_Oset(_u19076), c_List_Oreplicate(_u19076, _u19078, _u19080)))) )).
% 19.51/19.74 cnf(fact_Bex__set__replicate-4, axiom, ( ~hBOOL(hAPP(_u19082, _u19080)) | ( _u19078 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u19082, skolem495(_u19082, _u19080, _u19078, _u19076))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_replicate__eq__replicate ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_replicate__eq__replicate-1, axiom, ( ( c_List_Oreplicate(_u19088, _u19090, _u19092) != c_List_Oreplicate(_u19088, _u19094, _u19096)) | ( _u19090 = _u19094) )).
% 19.51/19.74 cnf(fact_replicate__eq__replicate-2, axiom, ( ( c_List_Oreplicate(_u19088, _u19090, _u19092) != c_List_Oreplicate(_u19088, _u19094, _u19096)) | ( _u19090 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u19092 = _u19096) )).
% 19.51/19.74 cnf(fact_replicate__eq__replicate-3, axiom, ( ( c_List_Oreplicate(_u19089, _u19091, _u19093) = c_List_Oreplicate(_u19089, _u19095, _u19097)) | ( _u19091 != _u19095) | ( _u19091 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.74 cnf(fact_replicate__eq__replicate-4, axiom, ( ( c_List_Oreplicate(_u19089, _u19091, _u19093) = c_List_Oreplicate(_u19089, _u19095, _u19097)) | ( _u19091 != _u19095) | ( _u19093 != _u19097) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_nth__replicate ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_nth__replicate-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19098), _u19099)) | ( hAPP(hAPP(c_List_Onth(_u19100), c_List_Oreplicate(_u19100, _u19099, _u19101)), _u19098) = _u19101) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_append__replicate__commute ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_append__replicate__commute-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19102), c_List_Oreplicate(_u19102, _u19103, _u19104)), c_List_Oreplicate(_u19102, _u19105, _u19104)) = hAPP(hAPP(c_List_Oappend(_u19102), c_List_Oreplicate(_u19102, _u19105, _u19104)), c_List_Oreplicate(_u19102, _u19103, _u19104))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_replicate__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_replicate__add-1, axiom, ( ( c_List_Oreplicate(_u19106, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19107), _u19108), _u19109) = hAPP(hAPP(c_List_Oappend(_u19106), c_List_Oreplicate(_u19106, _u19107, _u19109)), c_List_Oreplicate(_u19106, _u19108, _u19109))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_filter__replicate ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_filter__replicate-1, axiom, ( ~hBOOL(hAPP(_u19114, _u19116)) | ( hAPP(c_List_Ofilter(_u19118, _u19114), c_List_Oreplicate(_u19118, _u19120, _u19116)) = c_List_Oreplicate(_u19118, _u19120, _u19116)) )).
% 19.51/19.74 cnf(fact_filter__replicate-2, axiom, ( hBOOL(hAPP(_u19115, _u19117)) | ( hAPP(c_List_Ofilter(_u19119, _u19115), c_List_Oreplicate(_u19119, _u19121, _u19117)) = c_List_Olist_ONil(_u19119)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_concat__replicate__trivial ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_concat__replicate__trivial-1, axiom, ( ( c_List_Oconcat(_u19122, c_List_Oreplicate(tc_List_Olist(_u19122), _u19123, c_List_Olist_ONil(_u19122))) = c_List_Olist_ONil(_u19122)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_replicate__empty ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_replicate__empty-1, axiom, ( ( _u19129 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Oreplicate(_u19127, _u19129, _u19131) != c_List_Olist_ONil(_u19127)) )).
% 19.51/19.74 cnf(fact_replicate__empty-2, axiom, ( ( _u19130 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Oreplicate(_u19128, _u19130, _u19132) = c_List_Olist_ONil(_u19128)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_empty__replicate ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_empty__replicate-1, axiom, ( ( _u19138 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olist_ONil(_u19136) != c_List_Oreplicate(_u19136, _u19138, _u19140)) )).
% 19.51/19.74 cnf(fact_empty__replicate-2, axiom, ( ( _u19139 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olist_ONil(_u19137) = c_List_Oreplicate(_u19137, _u19139, _u19141)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_replicate__0 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_replicate__0-1, axiom, ( ( c_List_Oreplicate(_u19142, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u19143) = c_List_Olist_ONil(_u19142)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_map__replicate ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_map__replicate-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u19144, _u19145), _u19146), c_List_Oreplicate(_u19144, _u19147, _u19148)) = c_List_Oreplicate(_u19145, _u19147, hAPP(_u19146, _u19148))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_in__set__replicate ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_in__set__replicate-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19153), _u19155), hAPP(c_List_Oset(_u19153), c_List_Oreplicate(_u19153, _u19157, _u19159)))) | ( _u19155 = _u19159) )).
% 19.51/19.74 cnf(fact_in__set__replicate-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19153), _u19155), hAPP(c_List_Oset(_u19153), c_List_Oreplicate(_u19153, _u19157, _u19159)))) | ( _u19157 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.74 cnf(fact_in__set__replicate-3, axiom, ( ( _u19156 != _u19160) | ( _u19158 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19154), _u19156), hAPP(c_List_Oset(_u19154), c_List_Oreplicate(_u19154, _u19158, _u19160)))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_replicate__append__same ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_replicate__append__same-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19161), c_List_Oreplicate(_u19161, _u19162, _u19163)), hAPP(hAPP(c_List_Olist_OCons(_u19161), _u19163), c_List_Olist_ONil(_u19161))) = hAPP(hAPP(c_List_Olist_OCons(_u19161), _u19163), c_List_Oreplicate(_u19161, _u19162, _u19163))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_map__replicate__trivial ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_map__replicate__trivial-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u19164), hAPP(c_COMBK(_u19164, tc_Nat_Onat), _u19165)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u19166)) = c_List_Oreplicate(_u19164, _u19166, _u19165)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_set__replicate ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_set__replicate-1, axiom, ( ( _u19167 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u19168), c_List_Oreplicate(_u19168, _u19167, _u19169)) = hAPP(hAPP(c_Set_Oinsert(_u19168), _u19169), c_Orderings_Obot__class_Obot(tc_fun(_u19168, tc_HOL_Obool)))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_set__replicate__conv__if ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_set__replicate__conv__if-1, axiom, ( ( _u19173 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u19175), c_List_Oreplicate(_u19175, _u19173, _u19177)) = c_Orderings_Obot__class_Obot(tc_fun(_u19175, tc_HOL_Obool))) )).
% 19.51/19.74 cnf(fact_set__replicate__conv__if-2, axiom, ( ( _u19174 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u19176), c_List_Oreplicate(_u19176, _u19174, _u19178)) = hAPP(hAPP(c_Set_Oinsert(_u19176), _u19178), c_Orderings_Obot__class_Obot(tc_fun(_u19176, tc_HOL_Obool)))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_set__replicate__Suc ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_set__replicate__Suc-1, axiom, ( ( hAPP(c_List_Oset(_u19179), c_List_Oreplicate(_u19179, hAPP(c_Nat_OSuc, _u19180), _u19181)) = hAPP(hAPP(c_Set_Oinsert(_u19179), _u19181), c_Orderings_Obot__class_Obot(tc_fun(_u19179, tc_HOL_Obool)))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_small__lazy__list_Osimps ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_small__lazy__list_Osimps-1, axiom, ( ~class_Lazy__Sequence_Osmall__lazy(_u19182) | ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(_u19182), _u19183) = c_Lazy__Sequence_Oappend(tc_List_Olist(_u19182), hAPP(c_Lazy__Sequence_Osingle(tc_List_Olist(_u19182)), c_List_Olist_ONil(_u19182)), hAPP(hAPP(hAPP(c_If(tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19182))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u19183)), hAPP(c_Lazy__Sequence_Obind(tc_prod(_u19182, tc_List_Olist(_u19182)), tc_List_Olist(_u19182), c_Lazy__Sequence_Oproduct(_u19182, tc_List_Olist(_u19182), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u19182, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u19183), c_Groups_Oone__class_Oone(tc_Int_Oint))), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(_u19182), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u19183), c_Groups_Oone__class_Oone(tc_Int_Oint))))), hAPP(c_Product__Type_Oprod_Oprod__case(_u19182, tc_List_Olist(_u19182), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19182))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u19182), tc_List_Olist(_u19182)), tc_fun(tc_List_Olist(_u19182), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19182))), _u19182), hAPP(c_COMBB(tc_List_Olist(_u19182), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19182)), tc_List_Olist(_u19182)), c_Lazy__Sequence_Osingle(tc_List_Olist(_u19182)))), c_List_Olist_OCons(_u19182))))), c_Lazy__Sequence_Oempty(tc_List_Olist(_u19182))))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_eq__comp__r ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_eq__comp__r-1, axiom, ( ( c_Predicate_Opred__comp(_u19184, _u19184, _u19184, c_fequal, c_Predicate_Opred__comp(_u19184, _u19184, _u19184, _u19185, c_fequal)) = _u19185) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_small__lazy__prod__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_small__lazy__prod__def-1, axiom, ( ~class_Lazy__Sequence_Osmall__lazy(_u19186) | ~class_Lazy__Sequence_Osmall__lazy(_u19187) | ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_prod(_u19186, _u19187), _u19188) = c_Lazy__Sequence_Oproduct(_u19186, _u19187, c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u19186, _u19188), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u19187, _u19188))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_New__DSequence_Opos__union__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_New__DSequence_Opos__union__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__union(_u19189, _u19190, _u19191), _u19192) = c_Lazy__Sequence_Oappend(_u19189, hAPP(_u19190, _u19192), hAPP(_u19191, _u19192))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_lazy__sequence_Osize_I4_J ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_lazy__sequence_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19193)), c_Lazy__Sequence_Olazy__sequence_OInsert(_u19193, _u19194, _u19195)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19193)), _u19195)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact__01 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact__01-1, axiom, ( ( c_Lazy__Sequence_Oappend(_u19196, c_Lazy__Sequence_Olazy__sequence_OInsert(_u19196, _u19197, _u19198), _u19199) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u19196, _u19197, c_Lazy__Sequence_Oappend(_u19196, _u19198, _u19199))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_lazy__sequence_Oinject ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_lazy__sequence_Oinject-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19205, _u19207, _u19209) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u19205, _u19211, _u19213)) | ( _u19207 = _u19211) )).
% 19.51/19.74 cnf(fact_lazy__sequence_Oinject-2, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19205, _u19207, _u19209) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u19205, _u19211, _u19213)) | ( _u19209 = _u19213) )).
% 19.51/19.74 cnf(fact_lazy__sequence_Oinject-3, axiom, ( ( _u19208 != _u19212) | ( _u19210 != _u19214) | ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19206, _u19208, _u19210) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u19206, _u19212, _u19214)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_pos__union__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_pos__union__def-1, axiom, ( ( c_New__Random__Sequence_Opos__union(_u19215, _u19216, _u19217, _u19218, _u19219, _u19220) = c_New__DSequence_Opos__union(_u19215, hAPP(hAPP(hAPP(_u19216, _u19218), _u19219), _u19220), hAPP(hAPP(hAPP(_u19217, _u19218), _u19219), _u19220))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_lazy__sequence_Osize_I2_J ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_lazy__sequence_Osize_I2_J-1, axiom, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19221, _u19222), c_Lazy__Sequence_Olazy__sequence_OInsert(_u19221, _u19223, _u19224)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u19222, _u19223)), hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19221, _u19222), _u19224))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_small__lazy_H_Osimps ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_small__lazy_H_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19227), _u19229)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19227, _u19229) = c_Lazy__Sequence_Oempty(tc_Int_Oint)) )).
% 19.51/19.74 cnf(fact_small__lazy_H_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19228), _u19230)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19228, _u19230) = c_Lazy__Sequence_Oappend(tc_Int_Oint, hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint), _u19230), c_Lazy__Sequence_Osmall__lazy_H(_u19228, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u19230), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_small__lazy_H_Opsimps ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_small__lazy_H_Opsimps-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Lazy__Sequence_Osmall__lazy_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u19231), _u19232))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19231), _u19232)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19231, _u19232) = c_Lazy__Sequence_Oempty(tc_Int_Oint)) )).
% 19.51/19.74 cnf(fact_small__lazy_H_Opsimps-2, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Lazy__Sequence_Osmall__lazy_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u19231), _u19232))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19231), _u19232)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19231, _u19232) = c_Lazy__Sequence_Oappend(tc_Int_Oint, hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint), _u19232), c_Lazy__Sequence_Osmall__lazy_H(_u19231, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u19232), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_small__lazy__int__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_small__lazy__int__def-1, axiom, ( ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_Int_Oint, _u19233) = c_Lazy__Sequence_Osmall__lazy_H(_u19233, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u19233))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_small__lazy_H_Opinduct ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_small__lazy_H_Opinduct-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Lazy__Sequence_Osmall__lazy_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u19236), _u19237))) | hBOOL(hAPP(hAPP(_u19238, _u19236), _u19237)) | hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Lazy__Sequence_Osmall__lazy_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), skolem496(_u19238, _u19237, _u19236)), skolem497(_u19238, _u19237, _u19236)))) )).
% 19.51/19.74 cnf(fact_small__lazy_H_Opinduct-2, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Lazy__Sequence_Osmall__lazy_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u19236), _u19237))) | hBOOL(hAPP(hAPP(_u19238, _u19236), _u19237)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem496(_u19238, _u19237, _u19236)), skolem497(_u19238, _u19237, _u19236))) | hBOOL(hAPP(hAPP(_u19238, skolem496(_u19238, _u19237, _u19236)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem497(_u19238, _u19237, _u19236)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 19.51/19.74 cnf(fact_small__lazy_H_Opinduct-3, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Lazy__Sequence_Osmall__lazy_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u19236), _u19237))) | hBOOL(hAPP(hAPP(_u19238, _u19236), _u19237)) | ~hBOOL(hAPP(hAPP(_u19238, skolem496(_u19238, _u19237, _u19236)), skolem497(_u19238, _u19237, _u19236))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_size__code ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_size__code-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19239)), _u19240) = c_Option_Ooption_Ooption__case(tc_Nat_Onat, tc_prod(_u19239, tc_Lazy__Sequence_Olazy__sequence(_u19239)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Product__Type_Oprod_Oprod__case(_u19239, tc_Lazy__Sequence_Olazy__sequence(_u19239), tc_Nat_Onat), hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19239), tc_Nat_Onat), _u19239), hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(_u19239), tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_Lazy__Sequence_Olazy__sequence(_u19239)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19239)))), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(c_Lazy__Sequence_Oyield(_u19239), _u19240))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_lazy__sequence__size__code ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_lazy__sequence__size__code-1, axiom, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19241, _u19242), _u19243) = c_Option_Ooption_Ooption__case(tc_Nat_Onat, tc_prod(_u19241, tc_Lazy__Sequence_Olazy__sequence(_u19241)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Product__Type_Oprod_Oprod__case(_u19241, tc_Lazy__Sequence_Olazy__sequence(_u19241), tc_Nat_Onat), hAPP(hAPP(c_COMBC(_u19241, tc_Nat_Onat, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19241), tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19241), tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_fun(tc_Nat_Onat, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19241), tc_Nat_Onat)), _u19241), c_COMBC(tc_Lazy__Sequence_Olazy__sequence(_u19241), tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19241), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19241), tc_fun(tc_Nat_Onat, tc_Nat_Onat)), _u19241), hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_Lazy__Sequence_Olazy__sequence(_u19241)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat))), hAPP(hAPP(c_COMBC(_u19241, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19241), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19241), tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19241), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19241), tc_Nat_Onat)), _u19241), c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Lazy__Sequence_Olazy__sequence(_u19241))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), _u19241), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u19242))), c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19241, _u19242))))), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_Lazy__Sequence_Oyield(_u19241), _u19243))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_seq__case ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_seq__case-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u19244, _u19245, _u19246, _u19247, _u19248) = c_Option_Ooption_Ooption__case(_u19244, tc_prod(_u19245, tc_Lazy__Sequence_Olazy__sequence(_u19245)), _u19246, hAPP(c_Product__Type_Oprod_Oprod__case(_u19245, tc_Lazy__Sequence_Olazy__sequence(_u19245), _u19244), _u19247), hAPP(c_Lazy__Sequence_Oyield(_u19245), _u19248))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_yieldn__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_yieldn__def-1, axiom, ( ( c_Lazy__Sequence_Oyieldn(_u19249) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(_u19249), _u19249, c_Lazy__Sequence_Oyield(_u19249))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_lazy__sequence_Osimps_I5_J ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_lazy__sequence_Osimps_I5_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u19250, _u19251, _u19252, _u19253, c_Lazy__Sequence_Olazy__sequence_OInsert(_u19251, _u19254, _u19255)) = hAPP(hAPP(_u19253, _u19254), _u19255)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_refl__on__INTER ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_refl__on__INTER-1, axiom, ( c_Relation_Orefl__on(_u19259, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19257, tc_fun(_u19259, tc_HOL_Obool)), _u19258), _u19260), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19257, tc_fun(tc_prod(_u19259, _u19259), tc_HOL_Obool)), _u19258), _u19261)) | hBOOL(hAPP(hAPP(c_member(_u19257), skolem498(_u19261, _u19260, _u19259, _u19258, _u19257)), _u19258)) )).
% 19.51/19.74 cnf(fact_refl__on__INTER-2, axiom, ( c_Relation_Orefl__on(_u19259, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19257, tc_fun(_u19259, tc_HOL_Obool)), _u19258), _u19260), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19257, tc_fun(tc_prod(_u19259, _u19259), tc_HOL_Obool)), _u19258), _u19261)) | ~c_Relation_Orefl__on(_u19259, hAPP(_u19260, skolem498(_u19261, _u19260, _u19259, _u19258, _u19257)), hAPP(_u19261, skolem498(_u19261, _u19260, _u19259, _u19258, _u19257))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_in__set__member ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_in__set__member-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19265), _u19267), hAPP(c_List_Oset(_u19265), _u19269))) | hBOOL(hAPP(hAPP(c_List_Omember(_u19265), _u19269), _u19267)) )).
% 19.51/19.74 cnf(fact_in__set__member-2, axiom, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19266), _u19270), _u19268)) | hBOOL(hAPP(hAPP(c_member(_u19266), _u19268), hAPP(c_List_Oset(_u19266), _u19270))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_member__rec_I2_J ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_member__rec_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19271), c_List_Olist_ONil(_u19271)), _u19272)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_member__set ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_member__set-1, axiom, ( ( c_List_Omember(_u19273) = c_List_Oset(_u19273)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_member__rec_I1_J ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_member__rec_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19278), hAPP(hAPP(c_List_Olist_OCons(_u19278), _u19280), _u19282)), _u19284)) | ( _u19280 = _u19284) | hBOOL(hAPP(hAPP(c_List_Omember(_u19278), _u19282), _u19284)) )).
% 19.51/19.74 cnf(fact_member__rec_I1_J-2, axiom, ( hBOOL(hAPP(hAPP(c_List_Omember(_u19279), hAPP(hAPP(c_List_Olist_OCons(_u19279), _u19281), _u19283)), _u19285)) | ( _u19281 != _u19285) )).
% 19.51/19.74 cnf(fact_member__rec_I1_J-3, axiom, ( hBOOL(hAPP(hAPP(c_List_Omember(_u19279), hAPP(hAPP(c_List_Olist_OCons(_u19279), _u19281), _u19283)), _u19285)) | ~hBOOL(hAPP(hAPP(c_List_Omember(_u19279), _u19283), _u19285)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_List_Omember__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_List_Omember__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19289), _u19291), _u19293)) | hBOOL(hAPP(hAPP(c_member(_u19289), _u19293), hAPP(c_List_Oset(_u19289), _u19291))) )).
% 19.51/19.74 cnf(fact_List_Omember__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19290), _u19294), hAPP(c_List_Oset(_u19290), _u19292))) | hBOOL(hAPP(hAPP(c_List_Omember(_u19290), _u19292), _u19294)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_list__ex1__iff__raw ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_list__ex1__iff__raw-1, axiom, ( ~c_List_Olist__ex1(_u19302, _u19304, _u19306) | hBOOL(hAPP(hAPP(c_member(_u19302), skolem499(_u19306, _u19304, _u19302)), hAPP(c_List_Oset(_u19302), _u19306))) )).
% 19.51/19.74 cnf(fact_list__ex1__iff__raw-2, axiom, ( ~c_List_Olist__ex1(_u19302, _u19304, _u19306) | hBOOL(hAPP(_u19304, skolem499(_u19306, _u19304, _u19302))) )).
% 19.51/19.74 cnf(fact_list__ex1__iff__raw-3, axiom, ( ~c_List_Olist__ex1(_u19302, _u19304, _u19306) | ~hBOOL(hAPP(hAPP(c_member(_u19302), _u19295), hAPP(c_List_Oset(_u19302), _u19306))) | ~hBOOL(hAPP(_u19304, _u19295)) | ( _u19295 = skolem499(_u19306, _u19304, _u19302)) )).
% 19.51/19.74 cnf(fact_list__ex1__iff__raw-4, axiom, ( c_List_Olist__ex1(_u19303, _u19305, _u19307) | ~hBOOL(hAPP(hAPP(c_member(_u19303), _u19298), hAPP(c_List_Oset(_u19303), _u19307))) | ~hBOOL(hAPP(_u19305, _u19298)) | hBOOL(hAPP(hAPP(c_member(_u19303), skolem500(_u19307, _u19305, _u19303, _u19298)), hAPP(c_List_Oset(_u19303), _u19307))) )).
% 19.51/19.74 cnf(fact_list__ex1__iff__raw-5, axiom, ( c_List_Olist__ex1(_u19303, _u19305, _u19307) | ~hBOOL(hAPP(hAPP(c_member(_u19303), _u19298), hAPP(c_List_Oset(_u19303), _u19307))) | ~hBOOL(hAPP(_u19305, _u19298)) | hBOOL(hAPP(_u19305, skolem500(_u19307, _u19305, _u19303, _u19298))) )).
% 19.51/19.74 cnf(fact_list__ex1__iff__raw-6, axiom, ( c_List_Olist__ex1(_u19303, _u19305, _u19307) | ~hBOOL(hAPP(hAPP(c_member(_u19303), _u19298), hAPP(c_List_Oset(_u19303), _u19307))) | ~hBOOL(hAPP(_u19305, _u19298)) | ( skolem500(_u19307, _u19305, _u19303, _u19298) != _u19298) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_setsum__UNION__zero ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_setsum__UNION__zero-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19312) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19313, tc_HOL_Obool)), _u19314)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19313, tc_HOL_Obool)), skolem501(_u19315, _u19314, _u19313, _u19312)), _u19314)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19313, tc_HOL_Obool), _u19314)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19313, tc_HOL_Obool), _u19312), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315)), _u19314)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19313, tc_HOL_Obool)), skolem502(_u19315, _u19314, _u19313, _u19312)), _u19314)) )).
% 19.51/19.74 cnf(fact_setsum__UNION__zero-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19312) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19313, tc_HOL_Obool)), _u19314)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19313, tc_HOL_Obool)), skolem501(_u19315, _u19314, _u19313, _u19312)), _u19314)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19313, tc_HOL_Obool), _u19314)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19313, tc_HOL_Obool), _u19312), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315)), _u19314)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19313, tc_HOL_Obool)), skolem503(_u19315, _u19314, _u19313, _u19312)), _u19314)) )).
% 19.51/19.74 cnf(fact_setsum__UNION__zero-3, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19312) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19313, tc_HOL_Obool)), _u19314)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19313, tc_HOL_Obool)), skolem501(_u19315, _u19314, _u19313, _u19312)), _u19314)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19313, tc_HOL_Obool), _u19314)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19313, tc_HOL_Obool), _u19312), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315)), _u19314)) | ( skolem502(_u19315, _u19314, _u19313, _u19312) != skolem503(_u19315, _u19314, _u19313, _u19312)) )).
% 19.51/19.74 cnf(fact_setsum__UNION__zero-4, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19312) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19313, tc_HOL_Obool)), _u19314)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19313, tc_HOL_Obool)), skolem501(_u19315, _u19314, _u19313, _u19312)), _u19314)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19313, tc_HOL_Obool), _u19314)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19313, tc_HOL_Obool), _u19312), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315)), _u19314)) | hBOOL(hAPP(hAPP(c_member(_u19313), skolem504(_u19315, _u19314, _u19313, _u19312)), skolem502(_u19315, _u19314, _u19313, _u19312))) )).
% 19.51/19.74 cnf(fact_setsum__UNION__zero-5, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19312) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19313, tc_HOL_Obool)), _u19314)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19313, tc_HOL_Obool)), skolem501(_u19315, _u19314, _u19313, _u19312)), _u19314)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19313, tc_HOL_Obool), _u19314)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19313, tc_HOL_Obool), _u19312), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315)), _u19314)) | hBOOL(hAPP(hAPP(c_member(_u19313), skolem504(_u19315, _u19314, _u19313, _u19312)), skolem503(_u19315, _u19314, _u19313, _u19312))) )).
% 19.51/19.74 cnf(fact_setsum__UNION__zero-6, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19312) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19313, tc_HOL_Obool)), _u19314)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19313, tc_HOL_Obool)), skolem501(_u19315, _u19314, _u19313, _u19312)), _u19314)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19313, tc_HOL_Obool), _u19314)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19313, tc_HOL_Obool), _u19312), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315)), _u19314)) | ( hAPP(_u19315, skolem504(_u19315, _u19314, _u19313, _u19312)) != c_Groups_Ozero__class_Ozero(_u19312)) )).
% 19.51/19.74 cnf(fact_setsum__UNION__zero-7, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19312) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19313, tc_HOL_Obool)), _u19314)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19313), skolem501(_u19315, _u19314, _u19313, _u19312))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19313, tc_HOL_Obool), _u19314)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19313, tc_HOL_Obool), _u19312), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315)), _u19314)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19313, tc_HOL_Obool)), skolem502(_u19315, _u19314, _u19313, _u19312)), _u19314)) )).
% 19.51/19.74 cnf(fact_setsum__UNION__zero-8, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19312) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19313, tc_HOL_Obool)), _u19314)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19313), skolem501(_u19315, _u19314, _u19313, _u19312))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19313, tc_HOL_Obool), _u19314)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19313, tc_HOL_Obool), _u19312), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315)), _u19314)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19313, tc_HOL_Obool)), skolem503(_u19315, _u19314, _u19313, _u19312)), _u19314)) )).
% 19.51/19.74 cnf(fact_setsum__UNION__zero-9, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19312) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19313, tc_HOL_Obool)), _u19314)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19313), skolem501(_u19315, _u19314, _u19313, _u19312))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19313, tc_HOL_Obool), _u19314)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19313, tc_HOL_Obool), _u19312), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315)), _u19314)) | ( skolem502(_u19315, _u19314, _u19313, _u19312) != skolem503(_u19315, _u19314, _u19313, _u19312)) )).
% 19.51/19.74 cnf(fact_setsum__UNION__zero-10, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19312) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19313, tc_HOL_Obool)), _u19314)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19313), skolem501(_u19315, _u19314, _u19313, _u19312))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19313, tc_HOL_Obool), _u19314)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19313, tc_HOL_Obool), _u19312), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315)), _u19314)) | hBOOL(hAPP(hAPP(c_member(_u19313), skolem504(_u19315, _u19314, _u19313, _u19312)), skolem502(_u19315, _u19314, _u19313, _u19312))) )).
% 19.51/19.74 cnf(fact_setsum__UNION__zero-11, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19312) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19313, tc_HOL_Obool)), _u19314)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19313), skolem501(_u19315, _u19314, _u19313, _u19312))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19313, tc_HOL_Obool), _u19314)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19313, tc_HOL_Obool), _u19312), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315)), _u19314)) | hBOOL(hAPP(hAPP(c_member(_u19313), skolem504(_u19315, _u19314, _u19313, _u19312)), skolem503(_u19315, _u19314, _u19313, _u19312))) )).
% 19.51/19.74 cnf(fact_setsum__UNION__zero-12, axiom, ( ~class_Groups_Ocomm__monoid__add(_u19312) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19313, tc_HOL_Obool)), _u19314)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19313), skolem501(_u19315, _u19314, _u19313, _u19312))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19313, tc_HOL_Obool), _u19314)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19313, tc_HOL_Obool), _u19312), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315)), _u19314)) | ( hAPP(_u19315, skolem504(_u19315, _u19314, _u19313, _u19312)) != c_Groups_Ozero__class_Ozero(_u19312)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_THE__default__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_THE__default__def-1, axiom, ( ( c_FunDef_OTHE__default(_u19325, _u19327, _u19323) = c_HOL_OThe(_u19325, _u19323)) | ~hBOOL(hAPP(_u19323, _u19317)) | hBOOL(hAPP(_u19323, skolem505(_u19327, _u19325, _u19323, _u19317))) )).
% 19.51/19.74 cnf(fact_THE__default__def-2, axiom, ( ( c_FunDef_OTHE__default(_u19325, _u19327, _u19323) = c_HOL_OThe(_u19325, _u19323)) | ~hBOOL(hAPP(_u19323, _u19317)) | ( skolem505(_u19327, _u19325, _u19323, _u19317) != _u19317) )).
% 19.51/19.74 cnf(fact_THE__default__def-3, axiom, ( ( c_FunDef_OTHE__default(_u19326, _u19328, _u19324) = _u19328) | hBOOL(hAPP(_u19324, skolem506(_u19328, _u19326, _u19324))) )).
% 19.51/19.74 cnf(fact_THE__default__def-4, axiom, ( ( c_FunDef_OTHE__default(_u19326, _u19328, _u19324) = _u19328) | ~hBOOL(hAPP(_u19324, _u19318)) | ( _u19318 = skolem506(_u19328, _u19326, _u19324)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_SUP2__E ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_SUP2__E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19330, tc_fun(_u19331, tc_fun(_u19332, tc_HOL_Obool))), _u19333), _u19334), _u19335), _u19336)) | hBOOL(hAPP(hAPP(c_member(_u19330), skolem507(_u19336, _u19335, _u19334, _u19333, _u19332, _u19331, _u19330)), _u19333)) )).
% 19.51/19.74 cnf(fact_SUP2__E-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19330, tc_fun(_u19331, tc_fun(_u19332, tc_HOL_Obool))), _u19333), _u19334), _u19335), _u19336)) | hBOOL(hAPP(hAPP(hAPP(_u19334, skolem507(_u19336, _u19335, _u19334, _u19333, _u19332, _u19331, _u19330)), _u19335), _u19336)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_INF2__I ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_INF2__I-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19338, tc_fun(_u19343, tc_fun(_u19344, tc_HOL_Obool))), _u19339), _u19340), _u19341), _u19342)) | hBOOL(hAPP(hAPP(c_member(_u19338), skolem508(_u19344, _u19343, _u19342, _u19341, _u19340, _u19339, _u19338)), _u19339)) )).
% 19.51/19.74 cnf(fact_INF2__I-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19338, tc_fun(_u19343, tc_fun(_u19344, tc_HOL_Obool))), _u19339), _u19340), _u19341), _u19342)) | ~hBOOL(hAPP(hAPP(hAPP(_u19340, skolem508(_u19344, _u19343, _u19342, _u19341, _u19340, _u19339, _u19338)), _u19341), _u19342)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_finite__maxlen ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_finite__maxlen-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u19347)), _u19348)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19347)), _u19345), _u19348)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19347)), _u19345)), skolem509(_u19348, _u19347))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_lazy__sequence_Osize_I3_J ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_lazy__sequence_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19349)), c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19349)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_lazy__sequence_Osize_I1_J ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_lazy__sequence_Osize_I1_J-1, axiom, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19350, _u19351), c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19350)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact__02 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact__02-1, axiom, ( ( c_Lazy__Sequence_Oappend(_u19352, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19352), _u19353) = _u19353) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_lazy__sequence_Osimps_I3_J ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_lazy__sequence_Osimps_I3_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19354, _u19355, _u19356) != c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19354)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_lazy__sequence_Osimps_I2_J ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_lazy__sequence_Osimps_I2_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19357) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u19357, _u19358, _u19359)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_lazy__sequence_Osimps_I4_J ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_lazy__sequence_Osimps_I4_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u19360, _u19361, _u19362, _u19363, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19361)) = _u19362) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_list__all__iff__all__interval__int ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_list__all__iff__all__interval__int-1, axiom, ( ~c_List_Olist__all(tc_Int_Oint, _u19367, c_List_Oupto(_u19369, _u19371)) | c_List_Oall__interval__int(_u19367, _u19369, _u19371) )).
% 19.51/19.74 cnf(fact_list__all__iff__all__interval__int-2, axiom, ( ~c_List_Oall__interval__int(_u19368, _u19370, _u19372) | c_List_Olist__all(tc_Int_Oint, _u19368, c_List_Oupto(_u19370, _u19372)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_list__ex__iff__not__all__inverval__int ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_list__ex__iff__not__all__inverval__int-1, axiom, ( ~c_List_Olist__ex(tc_Int_Oint, _u19376, c_List_Oupto(_u19378, _u19380)) | ~c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint, c_fNot), _u19376), _u19378, _u19380) )).
% 19.51/19.74 cnf(fact_list__ex__iff__not__all__inverval__int-2, axiom, ( c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint, c_fNot), _u19377), _u19379, _u19381) | c_List_Olist__ex(tc_Int_Oint, _u19377, c_List_Oupto(_u19379, _u19381)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_all__interval__int__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_all__interval__int__def-1, axiom, ( ~c_List_Oall__interval__int(_u19387, _u19389, _u19391) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u19382), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u19389, _u19391))) | hBOOL(hAPP(_u19387, _u19382)) )).
% 19.51/19.74 cnf(fact_all__interval__int__def-2, axiom, ( c_List_Oall__interval__int(_u19388, _u19390, _u19392) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem510(_u19392, _u19390, _u19388)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u19390, _u19392))) )).
% 19.51/19.74 cnf(fact_all__interval__int__def-3, axiom, ( c_List_Oall__interval__int(_u19388, _u19390, _u19392) | ~hBOOL(hAPP(_u19388, skolem510(_u19392, _u19390, _u19388))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_Random_Osimps ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_Random_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u19397), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u19399, _u19401, _u19397, _u19403) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19399)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u19399))) )).
% 19.51/19.74 cnf(fact_Random_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u19398), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u19400, _u19402, _u19398, _u19404) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u19400, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm)), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19400)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(_u19402, _u19404)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19400)))), tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19400)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)))), tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19400)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_prod(_u19400, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19400)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19400)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random__Sequence_ORandom(_u19400, _u19402, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19398), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u19404))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19400)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19400))))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19400)))), tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19400)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)))), tc_prod(_u19400, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19400)))), tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19400)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19400))))), c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19400)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19400)))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19400)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19400))))), tc_prod(_u19400, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Ounion(_u19400)), hAPP(hAPP(c_COMBB(_u19400, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19400)))), tc_prod(_u19400, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Osingle(_u19400)), c_Product__Type_Ofst(_u19400, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm)))))))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_exE__realizer ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_exE__realizer-1, axiom, ( ~hBOOL(hAPP(hAPP(_u19407, hAPP(c_Product__Type_Osnd(_u19408, _u19409), _u19410)), hAPP(c_Product__Type_Ofst(_u19408, _u19409), _u19410))) | hBOOL(hAPP(_u19411, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u19408, _u19409, _u19413), _u19412), _u19410))) | hBOOL(hAPP(hAPP(_u19407, skolem512(_u19413, _u19412, _u19411, _u19410, _u19409, _u19408, _u19407)), skolem511(_u19413, _u19412, _u19411, _u19410, _u19409, _u19408, _u19407))) )).
% 19.51/19.74 cnf(fact_exE__realizer-2, axiom, ( ~hBOOL(hAPP(hAPP(_u19407, hAPP(c_Product__Type_Osnd(_u19408, _u19409), _u19410)), hAPP(c_Product__Type_Ofst(_u19408, _u19409), _u19410))) | hBOOL(hAPP(_u19411, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u19408, _u19409, _u19413), _u19412), _u19410))) | ~hBOOL(hAPP(_u19411, hAPP(hAPP(_u19412, skolem511(_u19413, _u19412, _u19411, _u19410, _u19409, _u19408, _u19407)), skolem512(_u19413, _u19412, _u19411, _u19410, _u19409, _u19408, _u19407)))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_Random__Sequence_Oempty__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_Random__Sequence_Oempty__def-1, axiom, ( ( c_Random__Sequence_Oempty(_u19414, _u19415, _u19416) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19414)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u19414))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_Random__Sequence_Osingle__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_Random__Sequence_Osingle__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(_u19417), _u19418), _u19419), _u19420) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19417)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_DSequence_Osingle(_u19417), _u19418))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_Random__Sequence_Omap__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_Random__Sequence_Omap__def-1, axiom, ( ( c_Random__Sequence_Omap(_u19421, _u19422, _u19423, _u19424) = c_Random__Sequence_Obind(_u19421, _u19422, _u19424, hAPP(c_Fun_Ocomp(_u19422, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19422)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))))), _u19421, c_Random__Sequence_Osingle(_u19422)), _u19423))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_Image__Collect__split ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_Image__Collect__split-1, axiom, ( ( hAPP(c_Relation_OImage(_u19425, _u19426, hAPP(c_Set_OCollect(tc_prod(_u19425, _u19426)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19425, _u19426, tc_HOL_Obool), _u19427))), _u19428) = hAPP(c_Set_OCollect(_u19426), hAPP(hAPP(c_COMBB(tc_fun(_u19425, tc_HOL_Obool), tc_HOL_Obool, _u19426), c_HOL_OEx(_u19425)), hAPP(hAPP(c_COMBB(tc_fun(_u19425, tc_HOL_Obool), tc_fun(_u19425, tc_HOL_Obool), _u19426), hAPP(c_COMBS(_u19425, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19425), c_fconj), hAPP(hAPP(c_COMBC(_u19425, tc_fun(_u19425, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19425)), _u19428)))), hAPP(c_COMBC(_u19425, _u19426, tc_HOL_Obool), _u19427))))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_list__ex__iff__raw ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_list__ex__iff__raw-1, axiom, ( ~c_List_Olist__ex(_u19434, _u19436, _u19438) | hBOOL(hAPP(hAPP(c_member(_u19434), skolem513(_u19438, _u19436, _u19434)), hAPP(c_List_Oset(_u19434), _u19438))) )).
% 19.51/19.74 cnf(fact_list__ex__iff__raw-2, axiom, ( ~c_List_Olist__ex(_u19434, _u19436, _u19438) | hBOOL(hAPP(_u19436, skolem513(_u19438, _u19436, _u19434))) )).
% 19.51/19.74 cnf(fact_list__ex__iff__raw-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19435), _u19430), hAPP(c_List_Oset(_u19435), _u19439))) | ~hBOOL(hAPP(_u19437, _u19430)) | c_List_Olist__ex(_u19435, _u19437, _u19439) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_Bex__set__list__ex ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_Bex__set__list__ex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19445), _u19440), hAPP(c_List_Oset(_u19445), _u19447))) | ~hBOOL(hAPP(_u19449, _u19440)) | c_List_Olist__ex(_u19445, _u19449, _u19447) )).
% 19.51/19.74 cnf(fact_Bex__set__list__ex-2, axiom, ( ~c_List_Olist__ex(_u19446, _u19450, _u19448) | hBOOL(hAPP(hAPP(c_member(_u19446), skolem514(_u19450, _u19448, _u19446)), hAPP(c_List_Oset(_u19446), _u19448))) )).
% 19.51/19.74 cnf(fact_Bex__set__list__ex-3, axiom, ( ~c_List_Olist__ex(_u19446, _u19450, _u19448) | hBOOL(hAPP(_u19450, skolem514(_u19450, _u19448, _u19446))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_SUPR__bool__eq ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_SUPR__bool__eq-1, axiom, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19451, tc_HOL_Obool) = c_Set_OBex(_u19451)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_bex__UNIV ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_bex__UNIV-1, axiom, ( hBOOL(hAPP(_u19460, skolem515(_u19460))) | ~hBOOL(hAPP(hAPP(c_member(_u19458), _u19452), c_Orderings_Otop__class_Otop(tc_fun(_u19458, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u19460, _u19452)) )).
% 19.51/19.74 cnf(fact_bex__UNIV-2, axiom, ( ~hBOOL(hAPP(_u19461, _u19454)) | hBOOL(hAPP(hAPP(c_member(_u19459), skolem516(_u19461, _u19459)), c_Orderings_Otop__class_Otop(tc_fun(_u19459, tc_HOL_Obool)))) )).
% 19.51/19.74 cnf(fact_bex__UNIV-3, axiom, ( ~hBOOL(hAPP(_u19461, _u19454)) | hBOOL(hAPP(_u19461, skolem516(_u19461, _u19459))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_finite__Collect__bex ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_finite__Collect__bex-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19464), _u19465)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19466), hAPP(c_Set_OCollect(_u19466), hAPP(hAPP(c_COMBB(tc_fun(_u19464, tc_HOL_Obool), tc_HOL_Obool, _u19466), c_HOL_OEx(_u19464)), hAPP(hAPP(c_COMBB(tc_fun(_u19464, tc_HOL_Obool), tc_fun(_u19464, tc_HOL_Obool), _u19466), hAPP(c_COMBS(_u19464, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19464), c_fconj), hAPP(hAPP(c_COMBC(_u19464, tc_fun(_u19464, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19464)), _u19465)))), _u19467))))) | ~hBOOL(hAPP(hAPP(c_member(_u19464), _u19462), _u19465)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19466), hAPP(c_Set_OCollect(_u19466), hAPP(hAPP(c_COMBC(_u19466, _u19464, tc_HOL_Obool), _u19467), _u19462)))) )).
% 19.51/19.74 cnf(fact_finite__Collect__bex-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19464), _u19465)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19466), hAPP(c_Set_OCollect(_u19466), hAPP(hAPP(c_COMBB(tc_fun(_u19464, tc_HOL_Obool), tc_HOL_Obool, _u19466), c_HOL_OEx(_u19464)), hAPP(hAPP(c_COMBB(tc_fun(_u19464, tc_HOL_Obool), tc_fun(_u19464, tc_HOL_Obool), _u19466), hAPP(c_COMBS(_u19464, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19464), c_fconj), hAPP(hAPP(c_COMBC(_u19464, tc_fun(_u19464, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19464)), _u19465)))), _u19467))))) | hBOOL(hAPP(hAPP(c_member(_u19464), skolem517(_u19467, _u19466, _u19465, _u19464)), _u19465)) )).
% 19.51/19.74 cnf(fact_finite__Collect__bex-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19464), _u19465)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19466), hAPP(c_Set_OCollect(_u19466), hAPP(hAPP(c_COMBB(tc_fun(_u19464, tc_HOL_Obool), tc_HOL_Obool, _u19466), c_HOL_OEx(_u19464)), hAPP(hAPP(c_COMBB(tc_fun(_u19464, tc_HOL_Obool), tc_fun(_u19464, tc_HOL_Obool), _u19466), hAPP(c_COMBS(_u19464, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19464), c_fconj), hAPP(hAPP(c_COMBC(_u19464, tc_fun(_u19464, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19464)), _u19465)))), _u19467))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19466), hAPP(c_Set_OCollect(_u19466), hAPP(hAPP(c_COMBC(_u19466, _u19464, tc_HOL_Obool), _u19467), skolem517(_u19467, _u19466, _u19465, _u19464))))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_bex__empty ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_bex__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19469), _u19468), c_Orderings_Obot__class_Obot(tc_fun(_u19469, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u19470, _u19468)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_Union__eq ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_Union__eq-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19471, tc_HOL_Obool), _u19472) = hAPP(c_Set_OCollect(_u19471), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19471, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u19471), c_HOL_OEx(tc_fun(_u19471, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19471, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u19471, tc_HOL_Obool), tc_HOL_Obool), _u19471), hAPP(c_COMBS(tc_fun(_u19471, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19471, tc_HOL_Obool)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19471, tc_HOL_Obool), tc_fun(tc_fun(_u19471, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19471, tc_HOL_Obool))), _u19472)))), c_member(_u19471))))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_UN__eq ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_UN__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19473, tc_fun(_u19474, tc_HOL_Obool)), _u19475), _u19476) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19474, tc_HOL_Obool), hAPP(c_Set_OCollect(tc_fun(_u19474, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19473, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u19474, tc_HOL_Obool)), c_HOL_OEx(_u19473)), hAPP(hAPP(c_COMBB(tc_fun(_u19473, tc_HOL_Obool), tc_fun(_u19473, tc_HOL_Obool), tc_fun(_u19474, tc_HOL_Obool)), hAPP(c_COMBS(_u19473, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19473), c_fconj), hAPP(hAPP(c_COMBC(_u19473, tc_fun(_u19473, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19473)), _u19475)))), hAPP(hAPP(c_COMBC(tc_fun(_u19474, tc_HOL_Obool), tc_fun(_u19473, tc_fun(_u19474, tc_HOL_Obool)), tc_fun(_u19473, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19474, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u19473, tc_fun(_u19474, tc_HOL_Obool)), tc_fun(_u19473, tc_HOL_Obool)), tc_fun(_u19474, tc_HOL_Obool)), c_COMBB(tc_fun(_u19474, tc_HOL_Obool), tc_HOL_Obool, _u19473)), c_fequal)), _u19476)))))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_INT__eq ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_INT__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19477, tc_fun(_u19478, tc_HOL_Obool)), _u19479), _u19480) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19478, tc_HOL_Obool), hAPP(c_Set_OCollect(tc_fun(_u19478, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19477, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u19478, tc_HOL_Obool)), c_HOL_OEx(_u19477)), hAPP(hAPP(c_COMBB(tc_fun(_u19477, tc_HOL_Obool), tc_fun(_u19477, tc_HOL_Obool), tc_fun(_u19478, tc_HOL_Obool)), hAPP(c_COMBS(_u19477, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19477), c_fconj), hAPP(hAPP(c_COMBC(_u19477, tc_fun(_u19477, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19477)), _u19479)))), hAPP(hAPP(c_COMBC(tc_fun(_u19478, tc_HOL_Obool), tc_fun(_u19477, tc_fun(_u19478, tc_HOL_Obool)), tc_fun(_u19477, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19478, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u19477, tc_fun(_u19478, tc_HOL_Obool)), tc_fun(_u19477, tc_HOL_Obool)), tc_fun(_u19478, tc_HOL_Obool)), c_COMBB(tc_fun(_u19478, tc_HOL_Obool), tc_HOL_Obool, _u19477)), c_fequal)), _u19480)))))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_Sup__fun__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_Sup__fun__def-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19481) | ( hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19482, _u19481), _u19483), _u19484) = c_Complete__Lattice_OSup__class_OSup(_u19481, hAPP(c_Set_OCollect(_u19481), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19482, _u19481), tc_HOL_Obool), tc_HOL_Obool, _u19481), c_HOL_OEx(tc_fun(_u19482, _u19481))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19482, _u19481), tc_HOL_Obool), tc_fun(tc_fun(_u19482, _u19481), tc_HOL_Obool), _u19481), hAPP(c_COMBS(tc_fun(_u19482, _u19481), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19482, _u19481)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19482, _u19481), tc_fun(tc_fun(_u19482, _u19481), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19482, _u19481))), _u19483)))), hAPP(hAPP(c_COMBC(_u19481, tc_fun(tc_fun(_u19482, _u19481), _u19481), tc_fun(tc_fun(_u19482, _u19481), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19481, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19482, _u19481), _u19481), tc_fun(tc_fun(_u19482, _u19481), tc_HOL_Obool)), _u19481), c_COMBB(_u19481, tc_HOL_Obool, tc_fun(_u19482, _u19481))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19482, _u19481), _u19482, _u19481), c_COMBI(tc_fun(_u19482, _u19481))), _u19484))))))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_Sup__apply ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_Sup__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19485) | ( hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19486, _u19485), _u19487), _u19488) = c_Complete__Lattice_OSup__class_OSup(_u19485, hAPP(c_Set_OCollect(_u19485), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19486, _u19485), tc_HOL_Obool), tc_HOL_Obool, _u19485), c_HOL_OEx(tc_fun(_u19486, _u19485))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19486, _u19485), tc_HOL_Obool), tc_fun(tc_fun(_u19486, _u19485), tc_HOL_Obool), _u19485), hAPP(c_COMBS(tc_fun(_u19486, _u19485), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19486, _u19485)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19486, _u19485), tc_fun(tc_fun(_u19486, _u19485), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19486, _u19485))), _u19487)))), hAPP(hAPP(c_COMBC(_u19485, tc_fun(tc_fun(_u19486, _u19485), _u19485), tc_fun(tc_fun(_u19486, _u19485), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19485, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19486, _u19485), _u19485), tc_fun(tc_fun(_u19486, _u19485), tc_HOL_Obool)), _u19485), c_COMBB(_u19485, tc_HOL_Obool, tc_fun(_u19486, _u19485))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19486, _u19485), _u19486, _u19485), c_COMBI(tc_fun(_u19486, _u19485))), _u19488))))))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_Inf__fun__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_Inf__fun__def-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19489) | ( hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19490, _u19489), _u19491), _u19492) = c_Complete__Lattice_OInf__class_OInf(_u19489, hAPP(c_Set_OCollect(_u19489), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19490, _u19489), tc_HOL_Obool), tc_HOL_Obool, _u19489), c_HOL_OEx(tc_fun(_u19490, _u19489))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19490, _u19489), tc_HOL_Obool), tc_fun(tc_fun(_u19490, _u19489), tc_HOL_Obool), _u19489), hAPP(c_COMBS(tc_fun(_u19490, _u19489), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19490, _u19489)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19490, _u19489), tc_fun(tc_fun(_u19490, _u19489), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19490, _u19489))), _u19491)))), hAPP(hAPP(c_COMBC(_u19489, tc_fun(tc_fun(_u19490, _u19489), _u19489), tc_fun(tc_fun(_u19490, _u19489), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19489, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19490, _u19489), _u19489), tc_fun(tc_fun(_u19490, _u19489), tc_HOL_Obool)), _u19489), c_COMBB(_u19489, tc_HOL_Obool, tc_fun(_u19490, _u19489))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19490, _u19489), _u19490, _u19489), c_COMBI(tc_fun(_u19490, _u19489))), _u19492))))))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_Inf__apply ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_Inf__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19493) | ( hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19494, _u19493), _u19495), _u19496) = c_Complete__Lattice_OInf__class_OInf(_u19493, hAPP(c_Set_OCollect(_u19493), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19494, _u19493), tc_HOL_Obool), tc_HOL_Obool, _u19493), c_HOL_OEx(tc_fun(_u19494, _u19493))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19494, _u19493), tc_HOL_Obool), tc_fun(tc_fun(_u19494, _u19493), tc_HOL_Obool), _u19493), hAPP(c_COMBS(tc_fun(_u19494, _u19493), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19494, _u19493)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19494, _u19493), tc_fun(tc_fun(_u19494, _u19493), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19494, _u19493))), _u19495)))), hAPP(hAPP(c_COMBC(_u19493, tc_fun(tc_fun(_u19494, _u19493), _u19493), tc_fun(tc_fun(_u19494, _u19493), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19493, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19494, _u19493), _u19493), tc_fun(tc_fun(_u19494, _u19493), tc_HOL_Obool)), _u19493), c_COMBB(_u19493, tc_HOL_Obool, tc_fun(_u19494, _u19493))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19494, _u19493), _u19494, _u19493), c_COMBI(tc_fun(_u19494, _u19493))), _u19496))))))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_max__extp_Ointros ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_max__extp_Ointros-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19499), _u19500)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19499), _u19501)) | ( _u19501 = c_Orderings_Obot__class_Obot(tc_fun(_u19499, tc_HOL_Obool))) | c_Wellfounded_Omax__extp(_u19499, _u19502, _u19500, _u19501) | hBOOL(hAPP(hAPP(c_member(_u19499), skolem518(_u19502, _u19501, _u19500, _u19499)), _u19500)) )).
% 19.51/19.74 cnf(fact_max__extp_Ointros-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19499), _u19500)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19499), _u19501)) | ( _u19501 = c_Orderings_Obot__class_Obot(tc_fun(_u19499, tc_HOL_Obool))) | c_Wellfounded_Omax__extp(_u19499, _u19502, _u19500, _u19501) | ~hBOOL(hAPP(hAPP(c_member(_u19499), _u19497), _u19501)) | ~hBOOL(hAPP(hAPP(_u19502, skolem518(_u19502, _u19501, _u19500, _u19499)), _u19497)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_max__extp_Osimps ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_max__extp_Osimps-1, axiom, ( ~c_Wellfounded_Omax__extp(_u19511, _u19513, _u19515, _u19517) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19511), _u19515)) )).
% 19.51/19.74 cnf(fact_max__extp_Osimps-2, axiom, ( ~c_Wellfounded_Omax__extp(_u19511, _u19513, _u19515, _u19517) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19511), _u19517)) )).
% 19.51/19.74 cnf(fact_max__extp_Osimps-3, axiom, ( ~c_Wellfounded_Omax__extp(_u19511, _u19513, _u19515, _u19517) | ( _u19517 != c_Orderings_Obot__class_Obot(tc_fun(_u19511, tc_HOL_Obool))) )).
% 19.51/19.74 cnf(fact_max__extp_Osimps-4, axiom, ( ~c_Wellfounded_Omax__extp(_u19511, _u19513, _u19515, _u19517) | ~hBOOL(hAPP(hAPP(c_member(_u19511), _u19504), _u19515)) | hBOOL(hAPP(hAPP(c_member(_u19511), skolem519(_u19517, _u19515, _u19513, _u19511, _u19504)), _u19517)) )).
% 19.51/19.74 cnf(fact_max__extp_Osimps-5, axiom, ( ~c_Wellfounded_Omax__extp(_u19511, _u19513, _u19515, _u19517) | ~hBOOL(hAPP(hAPP(c_member(_u19511), _u19504), _u19515)) | hBOOL(hAPP(hAPP(_u19513, _u19504), skolem519(_u19517, _u19515, _u19513, _u19511, _u19504))) )).
% 19.51/19.74 cnf(fact_max__extp_Osimps-6, axiom, ( c_Wellfounded_Omax__extp(_u19512, _u19514, _u19516, _u19518) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19512), _u19516)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19512), _u19518)) | ( _u19518 = c_Orderings_Obot__class_Obot(tc_fun(_u19512, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u19512), skolem520(_u19518, _u19516, _u19514, _u19512)), _u19516)) )).
% 19.51/19.74 cnf(fact_max__extp_Osimps-7, axiom, ( c_Wellfounded_Omax__extp(_u19512, _u19514, _u19516, _u19518) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19512), _u19516)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19512), _u19518)) | ( _u19518 = c_Orderings_Obot__class_Obot(tc_fun(_u19512, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u19512), _u19505), _u19518)) | ~hBOOL(hAPP(hAPP(_u19514, skolem520(_u19518, _u19516, _u19514, _u19512)), _u19505)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_fun__lub__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_fun__lub__def-1, axiom, ( ( c_Partial__Function_Ofun__lub(_u19519, _u19520, _u19521, _u19522, _u19523, _u19524) = hAPP(_u19522, hAPP(c_Set_OCollect(_u19519), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19521, _u19519), tc_HOL_Obool), tc_HOL_Obool, _u19519), c_HOL_OEx(tc_fun(_u19521, _u19519))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19521, _u19519), tc_HOL_Obool), tc_fun(tc_fun(_u19521, _u19519), tc_HOL_Obool), _u19519), hAPP(c_COMBS(tc_fun(_u19521, _u19519), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19521, _u19519)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19521, _u19519), tc_fun(tc_fun(_u19521, _u19519), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19521, _u19519))), _u19523)))), hAPP(hAPP(c_COMBC(_u19519, tc_fun(tc_fun(_u19521, _u19519), _u19519), tc_fun(tc_fun(_u19521, _u19519), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19519, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19521, _u19519), _u19519), tc_fun(tc_fun(_u19521, _u19519), tc_HOL_Obool)), _u19519), c_COMBB(_u19519, tc_HOL_Obool, tc_fun(_u19521, _u19519))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19521, _u19519), _u19521, _u19519), c_COMBI(tc_fun(_u19521, _u19519))), _u19524))))))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_lexord__trans ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_lexord__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19525), tc_List_Olist(_u19525))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19525), tc_List_Olist(_u19525)), _u19526), _u19527)), c_List_Olexord(_u19525, _u19528))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19525), tc_List_Olist(_u19525))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19525), tc_List_Olist(_u19525)), _u19527), _u19529)), c_List_Olexord(_u19525, _u19528))) | ~c_Relation_Otrans(_u19525, _u19528) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19525), tc_List_Olist(_u19525))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19525), tc_List_Olist(_u19525)), _u19526), _u19529)), c_List_Olexord(_u19525, _u19528))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_trans__less__than ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_trans__less__than-1, axiom, ( c_Relation_Otrans(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_trans__lex__prod ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_trans__lex__prod-1, axiom, ( ~c_Relation_Otrans(_u19530, _u19531) | ~c_Relation_Otrans(_u19532, _u19533) | c_Relation_Otrans(tc_prod(_u19530, _u19532), c_Wellfounded_Olex__prod(_u19530, _u19532, _u19531, _u19533)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_trans__reflclI ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_trans__reflclI-1, axiom, ( ~c_Relation_Otrans(_u19534, _u19535) | c_Relation_Otrans(_u19534, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19534, _u19534), tc_HOL_Obool)), _u19535), c_Relation_OId(_u19534))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_trans__inv__image ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_trans__inv__image-1, axiom, ( ~c_Relation_Otrans(_u19536, _u19537) | c_Relation_Otrans(_u19538, hAPP(hAPP(c_Relation_Oinv__image(_u19536, _u19538), _u19537), _u19539)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_trans__O__subset ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_trans__O__subset-1, axiom, ( ~c_Relation_Otrans(_u19540, _u19541) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19540, _u19540), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u19540, _u19540, _u19540), _u19541), _u19541)), _u19541)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_trans__Int ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_trans__Int-1, axiom, ( ~c_Relation_Otrans(_u19542, _u19543) | ~c_Relation_Otrans(_u19542, _u19544) | c_Relation_Otrans(_u19542, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u19542, _u19542), tc_HOL_Obool)), _u19543), _u19544)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_listrel__trans ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_listrel__trans-1, axiom, ( ~c_Relation_Otrans(_u19545, _u19546) | c_Relation_Otrans(tc_List_Olist(_u19545), c_List_Olistrel(_u19545, _u19546)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_trans__converse ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_trans__converse-1, axiom, ( ~c_Relation_Otrans(_u19549, hAPP(c_Relation_Oconverse(_u19549, _u19549), _u19551)) | c_Relation_Otrans(_u19549, _u19551) )).
% 19.51/19.74 cnf(fact_trans__converse-2, axiom, ( ~c_Relation_Otrans(_u19550, _u19552) | c_Relation_Otrans(_u19550, hAPP(c_Relation_Oconverse(_u19550, _u19550), _u19552)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_lexord__transI ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_lexord__transI-1, axiom, ( ~c_Relation_Otrans(_u19553, _u19554) | c_Relation_Otrans(tc_List_Olist(_u19553), c_List_Olexord(_u19553, _u19554)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_trans__Id ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_trans__Id-1, axiom, ( c_Relation_Otrans(_u19555, c_Relation_OId(_u19555)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_trancl__id ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_trancl__id-1, axiom, ( ~c_Relation_Otrans(_u19556, _u19557) | ( c_Transitive__Closure_Otrancl(_u19556, _u19557) = _u19557) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_trans__trancl ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_trans__trancl-1, axiom, ( c_Relation_Otrans(_u19558, c_Transitive__Closure_Otrancl(_u19558, _u19559)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_trans__Id__on ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_trans__Id__on-1, axiom, ( c_Relation_Otrans(_u19560, c_Relation_OId__on(_u19560, _u19561)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_trans__finite__psubset ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_trans__finite__psubset-1, axiom, ( c_Relation_Otrans(tc_fun(_u19562, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u19562)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_trans__rtrancl ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_trans__rtrancl-1, axiom, ( c_Relation_Otrans(_u19563, c_Transitive__Closure_Ortrancl(_u19563, _u19564)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_transD ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_transD-1, axiom, ( ~c_Relation_Otrans(_u19565, _u19566) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19565, _u19565)), hAPP(hAPP(c_Product__Type_OPair(_u19565, _u19565), _u19567), _u19568)), _u19566)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19565, _u19565)), hAPP(hAPP(c_Product__Type_OPair(_u19565, _u19565), _u19568), _u19569)), _u19566)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19565, _u19565)), hAPP(hAPP(c_Product__Type_OPair(_u19565, _u19565), _u19567), _u19569)), _u19566)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_trans__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_trans__def-1, axiom, ( ~c_Relation_Otrans(_u19578, _u19580) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19578, _u19578)), hAPP(hAPP(c_Product__Type_OPair(_u19578, _u19578), _u19572), _u19571)), _u19580)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19578, _u19578)), hAPP(hAPP(c_Product__Type_OPair(_u19578, _u19578), _u19571), _u19570)), _u19580)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19578, _u19578)), hAPP(hAPP(c_Product__Type_OPair(_u19578, _u19578), _u19572), _u19570)), _u19580)) )).
% 19.51/19.74 cnf(fact_trans__def-2, axiom, ( c_Relation_Otrans(_u19579, _u19581) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19579, _u19579)), hAPP(hAPP(c_Product__Type_OPair(_u19579, _u19579), skolem521(_u19581, _u19579)), skolem522(_u19581, _u19579))), _u19581)) )).
% 19.51/19.74 cnf(fact_trans__def-3, axiom, ( c_Relation_Otrans(_u19579, _u19581) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19579, _u19579)), hAPP(hAPP(c_Product__Type_OPair(_u19579, _u19579), skolem522(_u19581, _u19579)), skolem523(_u19581, _u19579))), _u19581)) )).
% 19.51/19.74 cnf(fact_trans__def-4, axiom, ( c_Relation_Otrans(_u19579, _u19581) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19579, _u19579)), hAPP(hAPP(c_Product__Type_OPair(_u19579, _u19579), skolem521(_u19581, _u19579)), skolem523(_u19581, _u19579))), _u19581)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_transp__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_transp__def-1, axiom, ( ~c_Predicate_Otransp(_u19584, _u19586) | c_Relation_Otrans(_u19584, hAPP(c_Set_OCollect(tc_prod(_u19584, _u19584)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19584, _u19584, tc_HOL_Obool), _u19586))) )).
% 19.51/19.74 cnf(fact_transp__def-2, axiom, ( ~c_Relation_Otrans(_u19585, hAPP(c_Set_OCollect(tc_prod(_u19585, _u19585)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19585, _u19585, tc_HOL_Obool), _u19587))) | c_Predicate_Otransp(_u19585, _u19587) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_trans__diff__Id ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_trans__diff__Id-1, axiom, ( ~c_Relation_Otrans(_u19588, _u19589) | ~c_Relation_Oantisym(_u19588, _u19589) | c_Relation_Otrans(_u19588, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u19588, _u19588), tc_HOL_Obool)), _u19589), c_Relation_OId(_u19588))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_antisym__subset ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_antisym__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19590, _u19590), tc_HOL_Obool)), _u19591), _u19592)) | ~c_Relation_Oantisym(_u19590, _u19592) | c_Relation_Oantisym(_u19590, _u19591) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_antisym__Id ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_antisym__Id-1, axiom, ( c_Relation_Oantisym(_u19593, c_Relation_OId(_u19593)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_transpE ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_transpE-1, axiom, ( ~hBOOL(hAPP(hAPP(_u19595, _u19596), _u19597)) | ~hBOOL(hAPP(hAPP(_u19595, _u19597), _u19598)) | hBOOL(hAPP(hAPP(_u19595, _u19596), _u19598)) | ~c_Predicate_Otransp(_u19594, _u19595) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_antisym__converse ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_antisym__converse-1, axiom, ( ~c_Relation_Oantisym(_u19601, hAPP(c_Relation_Oconverse(_u19601, _u19601), _u19603)) | c_Relation_Oantisym(_u19601, _u19603) )).
% 19.51/19.74 cnf(fact_antisym__converse-2, axiom, ( ~c_Relation_Oantisym(_u19602, _u19604) | c_Relation_Oantisym(_u19602, hAPP(c_Relation_Oconverse(_u19602, _u19602), _u19604)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_antisym__empty ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_antisym__empty-1, axiom, ( c_Relation_Oantisym(_u19605, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u19605, _u19605), tc_HOL_Obool))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_antisym__Id__on ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_antisym__Id__on-1, axiom, ( c_Relation_Oantisym(_u19606, c_Relation_OId__on(_u19606, _u19607)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_antisymD ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_antisymD-1, axiom, ( ~c_Relation_Oantisym(_u19608, _u19609) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19608, _u19608)), hAPP(hAPP(c_Product__Type_OPair(_u19608, _u19608), _u19610), _u19611)), _u19609)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19608, _u19608)), hAPP(hAPP(c_Product__Type_OPair(_u19608, _u19608), _u19611), _u19610)), _u19609)) | ( _u19610 = _u19611) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_antisym__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_antisym__def-1, axiom, ( ~c_Relation_Oantisym(_u19618, _u19620) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19618, _u19618)), hAPP(hAPP(c_Product__Type_OPair(_u19618, _u19618), _u19613), _u19612)), _u19620)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19618, _u19618)), hAPP(hAPP(c_Product__Type_OPair(_u19618, _u19618), _u19612), _u19613)), _u19620)) | ( _u19613 = _u19612) )).
% 19.51/19.74 cnf(fact_antisym__def-2, axiom, ( c_Relation_Oantisym(_u19619, _u19621) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19619, _u19619)), hAPP(hAPP(c_Product__Type_OPair(_u19619, _u19619), skolem524(_u19621, _u19619)), skolem525(_u19621, _u19619))), _u19621)) )).
% 19.51/19.74 cnf(fact_antisym__def-3, axiom, ( c_Relation_Oantisym(_u19619, _u19621) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19619, _u19619)), hAPP(hAPP(c_Product__Type_OPair(_u19619, _u19619), skolem525(_u19621, _u19619)), skolem524(_u19621, _u19619))), _u19621)) )).
% 19.51/19.74 cnf(fact_antisym__def-4, axiom, ( c_Relation_Oantisym(_u19619, _u19621) | ( skolem524(_u19621, _u19619) != skolem525(_u19621, _u19619)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_antisym__reflcl ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_antisym__reflcl-1, axiom, ( ~c_Relation_Oantisym(_u19624, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19624, _u19624), tc_HOL_Obool)), _u19626), c_Relation_OId(_u19624))) | c_Relation_Oantisym(_u19624, _u19626) )).
% 19.51/19.74 cnf(fact_antisym__reflcl-2, axiom, ( ~c_Relation_Oantisym(_u19625, _u19627) | c_Relation_Oantisym(_u19625, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19625, _u19625), tc_HOL_Obool)), _u19627), c_Relation_OId(_u19625))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_acyclic__impl__antisym__rtrancl ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_acyclic__impl__antisym__rtrancl-1, axiom, ( ~c_Wellfounded_Oacyclic(_u19628, _u19629) | c_Relation_Oantisym(_u19628, c_Transitive__Closure_Ortrancl(_u19628, _u19629)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_equivpE ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_equivpE-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u19630, _u19631) | c_Predicate_Oreflp(_u19630, _u19631) )).
% 19.51/19.74 cnf(fact_equivpE-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u19630, _u19631) | c_Predicate_Osymp(_u19630, _u19631) )).
% 19.51/19.74 cnf(fact_equivpE-3, axiom, ( ~c_Equiv__Relations_Oequivp(_u19630, _u19631) | c_Predicate_Otransp(_u19630, _u19631) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_equivpI ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_equivpI-1, axiom, ( ~c_Predicate_Oreflp(_u19632, _u19633) | ~c_Predicate_Osymp(_u19632, _u19633) | ~c_Predicate_Otransp(_u19632, _u19633) | c_Equiv__Relations_Oequivp(_u19632, _u19633) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_sympE ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_sympE-1, axiom, ( ~hBOOL(hAPP(hAPP(_u19635, _u19636), _u19637)) | hBOOL(hAPP(hAPP(_u19635, _u19637), _u19636)) | ~c_Predicate_Osymp(_u19634, _u19635) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_equivp__reflp__symp__transp ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_equivp__reflp__symp__transp-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u19640, _u19642) | c_Predicate_Oreflp(_u19640, _u19642) )).
% 19.51/19.74 cnf(fact_equivp__reflp__symp__transp-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u19640, _u19642) | c_Predicate_Osymp(_u19640, _u19642) )).
% 19.51/19.74 cnf(fact_equivp__reflp__symp__transp-3, axiom, ( ~c_Equiv__Relations_Oequivp(_u19640, _u19642) | c_Predicate_Otransp(_u19640, _u19642) )).
% 19.51/19.74 cnf(fact_equivp__reflp__symp__transp-4, axiom, ( ~c_Predicate_Oreflp(_u19641, _u19643) | ~c_Predicate_Osymp(_u19641, _u19643) | ~c_Predicate_Otransp(_u19641, _u19643) | c_Equiv__Relations_Oequivp(_u19641, _u19643) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_sym__trans__comp__subset ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_sym__trans__comp__subset-1, axiom, ( ~c_Relation_Osym(_u19644, _u19645) | ~c_Relation_Otrans(_u19644, _u19645) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19644, _u19644), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u19644, _u19644, _u19644), hAPP(c_Relation_Oconverse(_u19644, _u19644), _u19645)), _u19645)), _u19645)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_part__equivpI ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_part__equivpI-1, axiom, ( ~hBOOL(hAPP(hAPP(_u19647, _u19646), _u19646)) | ~c_Predicate_Osymp(_u19648, _u19647) | ~c_Predicate_Otransp(_u19648, _u19647) | c_Equiv__Relations_Opart__equivp(_u19648, _u19647) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_sym__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_sym__def-1, axiom, ( ~c_Relation_Osym(_u19655, _u19657) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19655, _u19655)), hAPP(hAPP(c_Product__Type_OPair(_u19655, _u19655), _u19650), _u19649)), _u19657)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19655, _u19655)), hAPP(hAPP(c_Product__Type_OPair(_u19655, _u19655), _u19649), _u19650)), _u19657)) )).
% 19.51/19.74 cnf(fact_sym__def-2, axiom, ( c_Relation_Osym(_u19656, _u19658) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19656, _u19656)), hAPP(hAPP(c_Product__Type_OPair(_u19656, _u19656), skolem526(_u19658, _u19656)), skolem527(_u19658, _u19656))), _u19658)) )).
% 19.51/19.74 cnf(fact_sym__def-3, axiom, ( c_Relation_Osym(_u19656, _u19658) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19656, _u19656)), hAPP(hAPP(c_Product__Type_OPair(_u19656, _u19656), skolem527(_u19658, _u19656)), skolem526(_u19658, _u19656))), _u19658)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_symD ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_symD-1, axiom, ( ~c_Relation_Osym(_u19659, _u19660) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19659, _u19659)), hAPP(hAPP(c_Product__Type_OPair(_u19659, _u19659), _u19661), _u19662)), _u19660)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19659, _u19659)), hAPP(hAPP(c_Product__Type_OPair(_u19659, _u19659), _u19662), _u19661)), _u19660)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_sym__Un__converse ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_sym__Un__converse-1, axiom, ( c_Relation_Osym(_u19663, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19663, _u19663), tc_HOL_Obool)), _u19664), hAPP(c_Relation_Oconverse(_u19663, _u19663), _u19664))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_equivp__implies__part__equivp ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_equivp__implies__part__equivp-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u19665, _u19666) | c_Equiv__Relations_Opart__equivp(_u19665, _u19666) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_sym__rtrancl ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_sym__rtrancl-1, axiom, ( ~c_Relation_Osym(_u19667, _u19668) | c_Relation_Osym(_u19667, c_Transitive__Closure_Ortrancl(_u19667, _u19668)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_sym__Id__on ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_sym__Id__on-1, axiom, ( c_Relation_Osym(_u19669, c_Relation_OId__on(_u19669, _u19670)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_part__equivp__transp ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_part__equivp__transp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u19672, _u19673), _u19674)) | ~hBOOL(hAPP(hAPP(_u19672, _u19674), _u19675)) | hBOOL(hAPP(hAPP(_u19672, _u19673), _u19675)) | ~c_Equiv__Relations_Opart__equivp(_u19671, _u19672) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_part__equivp__symp ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_part__equivp__symp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u19677, _u19678), _u19679)) | hBOOL(hAPP(hAPP(_u19677, _u19679), _u19678)) | ~c_Equiv__Relations_Opart__equivp(_u19676, _u19677) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_part__equivp__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_part__equivp__def-1, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u19696, _u19698) | hBOOL(hAPP(hAPP(_u19698, skolem528(_u19698)), skolem528(_u19698))) )).
% 19.51/19.74 cnf(fact_part__equivp__def-2, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u19696, _u19698) | ~hBOOL(hAPP(hAPP(_u19698, _u19690), _u19688)) | hBOOL(hAPP(hAPP(_u19698, _u19690), _u19690)) )).
% 19.51/19.74 cnf(fact_part__equivp__def-3, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u19696, _u19698) | ~hBOOL(hAPP(hAPP(_u19698, _u19690), _u19688)) | hBOOL(hAPP(hAPP(_u19698, _u19688), _u19688)) )).
% 19.51/19.74 cnf(fact_part__equivp__def-4, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u19696, _u19698) | ~hBOOL(hAPP(hAPP(_u19698, _u19690), _u19688)) | ( hAPP(_u19698, _u19690) = hAPP(_u19698, _u19688)) )).
% 19.51/19.74 cnf(fact_part__equivp__def-5, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u19696, _u19698) | ~hBOOL(hAPP(hAPP(_u19698, _u19691), _u19691)) | ~hBOOL(hAPP(hAPP(_u19698, _u19689), _u19689)) | ( hAPP(_u19698, _u19691) != hAPP(_u19698, _u19689)) | hBOOL(hAPP(hAPP(_u19698, _u19691), _u19689)) )).
% 19.51/19.74 cnf(fact_part__equivp__def-6, axiom, ( c_Equiv__Relations_Opart__equivp(_u19697, _u19699) | ~hBOOL(hAPP(hAPP(_u19699, _u19683), _u19683)) | hBOOL(hAPP(hAPP(_u19699, skolem529(_u19699)), skolem530(_u19699))) | hBOOL(hAPP(hAPP(_u19699, skolem531(_u19699)), skolem531(_u19699))) )).
% 19.51/19.74 cnf(fact_part__equivp__def-7, axiom, ( c_Equiv__Relations_Opart__equivp(_u19697, _u19699) | ~hBOOL(hAPP(hAPP(_u19699, _u19683), _u19683)) | hBOOL(hAPP(hAPP(_u19699, skolem529(_u19699)), skolem530(_u19699))) | hBOOL(hAPP(hAPP(_u19699, skolem532(_u19699)), skolem532(_u19699))) )).
% 19.51/19.74 cnf(fact_part__equivp__def-8, axiom, ( c_Equiv__Relations_Opart__equivp(_u19697, _u19699) | ~hBOOL(hAPP(hAPP(_u19699, _u19683), _u19683)) | hBOOL(hAPP(hAPP(_u19699, skolem529(_u19699)), skolem530(_u19699))) | ( hAPP(_u19699, skolem531(_u19699)) = hAPP(_u19699, skolem532(_u19699))) )).
% 19.51/19.74 cnf(fact_part__equivp__def-9, axiom, ( c_Equiv__Relations_Opart__equivp(_u19697, _u19699) | ~hBOOL(hAPP(hAPP(_u19699, _u19683), _u19683)) | hBOOL(hAPP(hAPP(_u19699, skolem529(_u19699)), skolem530(_u19699))) | ~hBOOL(hAPP(hAPP(_u19699, skolem531(_u19699)), skolem532(_u19699))) )).
% 19.51/19.74 cnf(fact_part__equivp__def-10, axiom, ( c_Equiv__Relations_Opart__equivp(_u19697, _u19699) | ~hBOOL(hAPP(hAPP(_u19699, _u19683), _u19683)) | ~hBOOL(hAPP(hAPP(_u19699, skolem529(_u19699)), skolem529(_u19699))) | ~hBOOL(hAPP(hAPP(_u19699, skolem530(_u19699)), skolem530(_u19699))) | ( hAPP(_u19699, skolem529(_u19699)) != hAPP(_u19699, skolem530(_u19699))) | hBOOL(hAPP(hAPP(_u19699, skolem531(_u19699)), skolem531(_u19699))) )).
% 19.51/19.74 cnf(fact_part__equivp__def-11, axiom, ( c_Equiv__Relations_Opart__equivp(_u19697, _u19699) | ~hBOOL(hAPP(hAPP(_u19699, _u19683), _u19683)) | ~hBOOL(hAPP(hAPP(_u19699, skolem529(_u19699)), skolem529(_u19699))) | ~hBOOL(hAPP(hAPP(_u19699, skolem530(_u19699)), skolem530(_u19699))) | ( hAPP(_u19699, skolem529(_u19699)) != hAPP(_u19699, skolem530(_u19699))) | hBOOL(hAPP(hAPP(_u19699, skolem532(_u19699)), skolem532(_u19699))) )).
% 19.51/19.74 cnf(fact_part__equivp__def-12, axiom, ( c_Equiv__Relations_Opart__equivp(_u19697, _u19699) | ~hBOOL(hAPP(hAPP(_u19699, _u19683), _u19683)) | ~hBOOL(hAPP(hAPP(_u19699, skolem529(_u19699)), skolem529(_u19699))) | ~hBOOL(hAPP(hAPP(_u19699, skolem530(_u19699)), skolem530(_u19699))) | ( hAPP(_u19699, skolem529(_u19699)) != hAPP(_u19699, skolem530(_u19699))) | ( hAPP(_u19699, skolem531(_u19699)) = hAPP(_u19699, skolem532(_u19699))) )).
% 19.51/19.74 cnf(fact_part__equivp__def-13, axiom, ( c_Equiv__Relations_Opart__equivp(_u19697, _u19699) | ~hBOOL(hAPP(hAPP(_u19699, _u19683), _u19683)) | ~hBOOL(hAPP(hAPP(_u19699, skolem529(_u19699)), skolem529(_u19699))) | ~hBOOL(hAPP(hAPP(_u19699, skolem530(_u19699)), skolem530(_u19699))) | ( hAPP(_u19699, skolem529(_u19699)) != hAPP(_u19699, skolem530(_u19699))) | ~hBOOL(hAPP(hAPP(_u19699, skolem531(_u19699)), skolem532(_u19699))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_sym__trancl ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_sym__trancl-1, axiom, ( ~c_Relation_Osym(_u19700, _u19701) | c_Relation_Osym(_u19700, c_Transitive__Closure_Otrancl(_u19700, _u19701)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_sym__Un ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_sym__Un-1, axiom, ( ~c_Relation_Osym(_u19702, _u19703) | ~c_Relation_Osym(_u19702, _u19704) | c_Relation_Osym(_u19702, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19702, _u19702), tc_HOL_Obool)), _u19703), _u19704)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_sym__Id ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_sym__Id-1, axiom, ( c_Relation_Osym(_u19705, c_Relation_OId(_u19705)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_sym__converse ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_sym__converse-1, axiom, ( ~c_Relation_Osym(_u19708, hAPP(c_Relation_Oconverse(_u19708, _u19708), _u19710)) | c_Relation_Osym(_u19708, _u19710) )).
% 19.51/19.74 cnf(fact_sym__converse-2, axiom, ( ~c_Relation_Osym(_u19709, _u19711) | c_Relation_Osym(_u19709, hAPP(c_Relation_Oconverse(_u19709, _u19709), _u19711)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_sym__conv__converse__eq ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_sym__conv__converse__eq-1, axiom, ( ~c_Relation_Osym(_u19714, _u19716) | ( hAPP(c_Relation_Oconverse(_u19714, _u19714), _u19716) = _u19716) )).
% 19.51/19.74 cnf(fact_sym__conv__converse__eq-2, axiom, ( ( hAPP(c_Relation_Oconverse(_u19715, _u19715), _u19717) != _u19717) | c_Relation_Osym(_u19715, _u19717) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_listrel__sym ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_listrel__sym-1, axiom, ( ~c_Relation_Osym(_u19718, _u19719) | c_Relation_Osym(tc_List_Olist(_u19718), c_List_Olistrel(_u19718, _u19719)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_sym__Int ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_sym__Int-1, axiom, ( ~c_Relation_Osym(_u19720, _u19721) | ~c_Relation_Osym(_u19720, _u19722) | c_Relation_Osym(_u19720, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u19720, _u19720), tc_HOL_Obool)), _u19721), _u19722)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_sym__inv__image ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_sym__inv__image-1, axiom, ( ~c_Relation_Osym(_u19723, _u19724) | c_Relation_Osym(_u19725, hAPP(hAPP(c_Relation_Oinv__image(_u19723, _u19725), _u19724), _u19726)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_sym__Int__converse ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_sym__Int__converse-1, axiom, ( c_Relation_Osym(_u19727, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u19727, _u19727), tc_HOL_Obool)), _u19728), hAPP(c_Relation_Oconverse(_u19727, _u19727), _u19728))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_equivE ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_equivE-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u19729, _u19730, _u19731) | c_Relation_Orefl__on(_u19729, _u19730, _u19731) )).
% 19.51/19.74 cnf(fact_equivE-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u19729, _u19730, _u19731) | c_Relation_Osym(_u19729, _u19731) )).
% 19.51/19.74 cnf(fact_equivE-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u19729, _u19730, _u19731) | c_Relation_Otrans(_u19729, _u19731) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_equivI ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_equivI-1, axiom, ( ~c_Relation_Orefl__on(_u19732, _u19733, _u19734) | ~c_Relation_Osym(_u19732, _u19734) | ~c_Relation_Otrans(_u19732, _u19734) | c_Equiv__Relations_Oequiv(_u19732, _u19733, _u19734) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_equiv__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_equiv__def-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u19738, _u19740, _u19742) | c_Relation_Orefl__on(_u19738, _u19740, _u19742) )).
% 19.51/19.74 cnf(fact_equiv__def-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u19738, _u19740, _u19742) | c_Relation_Osym(_u19738, _u19742) )).
% 19.51/19.74 cnf(fact_equiv__def-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u19738, _u19740, _u19742) | c_Relation_Otrans(_u19738, _u19742) )).
% 19.51/19.74 cnf(fact_equiv__def-4, axiom, ( ~c_Relation_Orefl__on(_u19739, _u19741, _u19743) | ~c_Relation_Osym(_u19739, _u19743) | ~c_Relation_Otrans(_u19739, _u19743) | c_Equiv__Relations_Oequiv(_u19739, _u19741, _u19743) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_symp__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_symp__def-1, axiom, ( ~c_Predicate_Osymp(_u19746, _u19748) | c_Relation_Osym(_u19746, hAPP(c_Set_OCollect(tc_prod(_u19746, _u19746)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19746, _u19746, tc_HOL_Obool), _u19748))) )).
% 19.51/19.74 cnf(fact_symp__def-2, axiom, ( ~c_Relation_Osym(_u19747, hAPP(c_Set_OCollect(tc_prod(_u19747, _u19747)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19747, _u19747, tc_HOL_Obool), _u19749))) | c_Predicate_Osymp(_u19747, _u19749) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_part__equivp__refl__symp__transp ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_part__equivp__refl__symp__transp-1, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u19754, _u19756) | hBOOL(hAPP(hAPP(_u19756, skolem533(_u19756, _u19754)), skolem533(_u19756, _u19754))) )).
% 19.51/19.74 cnf(fact_part__equivp__refl__symp__transp-2, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u19754, _u19756) | c_Predicate_Osymp(_u19754, _u19756) )).
% 19.51/19.74 cnf(fact_part__equivp__refl__symp__transp-3, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u19754, _u19756) | c_Predicate_Otransp(_u19754, _u19756) )).
% 19.51/19.74 cnf(fact_part__equivp__refl__symp__transp-4, axiom, ( ~hBOOL(hAPP(hAPP(_u19757, _u19751), _u19751)) | ~c_Predicate_Osymp(_u19755, _u19757) | ~c_Predicate_Otransp(_u19755, _u19757) | c_Equiv__Relations_Opart__equivp(_u19755, _u19757) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_part__equivpE ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_part__equivpE-1, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u19759, _u19760) | hBOOL(hAPP(hAPP(_u19760, skolem534(_u19760, _u19759)), skolem534(_u19760, _u19759))) )).
% 19.51/19.74 cnf(fact_part__equivpE-2, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u19759, _u19760) | c_Predicate_Osymp(_u19759, _u19760) )).
% 19.51/19.74 cnf(fact_part__equivpE-3, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u19759, _u19760) | c_Predicate_Otransp(_u19759, _u19760) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_part__equivp__typedef ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_part__equivp__typedef-1, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u19762, _u19763) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19762, tc_HOL_Obool)), skolem535(_u19763, _u19762)), hAPP(hAPP(c_COMBB(tc_fun(_u19762, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u19762, tc_HOL_Obool)), c_HOL_OEx(_u19762)), hAPP(hAPP(c_COMBB(tc_fun(_u19762, tc_HOL_Obool), tc_fun(_u19762, tc_HOL_Obool), tc_fun(_u19762, tc_HOL_Obool)), hAPP(c_COMBS(_u19762, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19762), c_fconj), hAPP(hAPP(c_COMBS(_u19762, _u19762, tc_HOL_Obool), _u19763), c_COMBI(_u19762))))), hAPP(hAPP(c_COMBC(tc_fun(_u19762, tc_HOL_Obool), tc_fun(_u19762, tc_fun(_u19762, tc_HOL_Obool)), tc_fun(_u19762, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19762, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u19762, tc_fun(_u19762, tc_HOL_Obool)), tc_fun(_u19762, tc_HOL_Obool)), tc_fun(_u19762, tc_HOL_Obool)), c_COMBB(tc_fun(_u19762, tc_HOL_Obool), tc_HOL_Obool, _u19762)), c_fequal)), _u19763))))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_inv__o__cancel ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_inv__o__cancel-1, axiom, ( ~c_Fun_Oinj__on(_u19764, _u19765, _u19766, c_Orderings_Otop__class_Otop(tc_fun(_u19764, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u19765, _u19764, _u19764, c_Hilbert__Choice_Oinv__into(_u19764, _u19765, c_Orderings_Otop__class_Otop(tc_fun(_u19764, tc_HOL_Obool)), _u19766)), _u19766) = c_Fun_Oid(_u19764)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_inj__iff ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_inj__iff-1, axiom, ( ~c_Fun_Oinj__on(_u19770, _u19772, _u19774, c_Orderings_Otop__class_Otop(tc_fun(_u19770, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u19772, _u19770, _u19770, c_Hilbert__Choice_Oinv__into(_u19770, _u19772, c_Orderings_Otop__class_Otop(tc_fun(_u19770, tc_HOL_Obool)), _u19774)), _u19774) = c_Fun_Oid(_u19770)) )).
% 19.51/19.74 cnf(fact_inj__iff-2, axiom, ( ( hAPP(c_Fun_Ocomp(_u19773, _u19771, _u19771, c_Hilbert__Choice_Oinv__into(_u19771, _u19773, c_Orderings_Otop__class_Otop(tc_fun(_u19771, tc_HOL_Obool)), _u19775)), _u19775) != c_Fun_Oid(_u19771)) | c_Fun_Oinj__on(_u19771, _u19773, _u19775, c_Orderings_Otop__class_Otop(tc_fun(_u19771, tc_HOL_Obool))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_inj__on__inv__into ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_inj__on__inv__into-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19776, tc_HOL_Obool)), _u19777), hAPP(c_Set_Oimage(_u19778, _u19776, _u19779), _u19780))) | c_Fun_Oinj__on(_u19776, _u19778, c_Hilbert__Choice_Oinv__into(_u19778, _u19776, _u19780, _u19779), _u19777) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_inv__into__image__cancel ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_inv__into__image__cancel-1, axiom, ( ~c_Fun_Oinj__on(_u19781, _u19782, _u19783, _u19784) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19781, tc_HOL_Obool)), _u19785), _u19784)) | ( hAPP(c_Set_Oimage(_u19782, _u19781, c_Hilbert__Choice_Oinv__into(_u19781, _u19782, _u19784, _u19783)), hAPP(c_Set_Oimage(_u19781, _u19782, _u19783), _u19785)) = _u19785) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_surj__imp__inj__inv ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_surj__imp__inj__inv-1, axiom, ( ( hAPP(c_Set_Oimage(_u19786, _u19787, _u19788), c_Orderings_Otop__class_Otop(tc_fun(_u19786, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u19787, tc_HOL_Obool))) | c_Fun_Oinj__on(_u19787, _u19786, c_Hilbert__Choice_Oinv__into(_u19786, _u19787, c_Orderings_Otop__class_Otop(tc_fun(_u19786, tc_HOL_Obool)), _u19788), c_Orderings_Otop__class_Otop(tc_fun(_u19787, tc_HOL_Obool))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_inv__image__comp ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_inv__image__comp-1, axiom, ( ~c_Fun_Oinj__on(_u19789, _u19790, _u19791, c_Orderings_Otop__class_Otop(tc_fun(_u19789, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u19790, _u19789, c_Hilbert__Choice_Oinv__into(_u19789, _u19790, c_Orderings_Otop__class_Otop(tc_fun(_u19789, tc_HOL_Obool)), _u19791)), hAPP(c_Set_Oimage(_u19789, _u19790, _u19791), _u19792)) = _u19792) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_image__inv__f__f ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_image__inv__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u19793, _u19794, _u19795, c_Orderings_Otop__class_Otop(tc_fun(_u19793, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u19794, _u19793, c_Hilbert__Choice_Oinv__into(_u19793, _u19794, c_Orderings_Otop__class_Otop(tc_fun(_u19793, tc_HOL_Obool)), _u19795)), hAPP(c_Set_Oimage(_u19793, _u19794, _u19795), _u19796)) = _u19796) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_inj__imp__surj__inv ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_inj__imp__surj__inv-1, axiom, ( ~c_Fun_Oinj__on(_u19797, _u19798, _u19799, c_Orderings_Otop__class_Otop(tc_fun(_u19797, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u19798, _u19797, c_Hilbert__Choice_Oinv__into(_u19797, _u19798, c_Orderings_Otop__class_Otop(tc_fun(_u19797, tc_HOL_Obool)), _u19799)), c_Orderings_Otop__class_Otop(tc_fun(_u19798, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u19797, tc_HOL_Obool))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_inv__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_inv__def-1, axiom, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u19800, _u19801, c_Orderings_Otop__class_Otop(tc_fun(_u19800, tc_HOL_Obool)), _u19802), _u19803) = c_Hilbert__Choice_OEps(_u19800, hAPP(hAPP(c_COMBC(_u19800, _u19801, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u19801, tc_fun(_u19801, tc_HOL_Obool), _u19800), c_fequal), _u19802)), _u19803))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_image__inv__into__cancel ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_image__inv__into__cancel-1, axiom, ( ( hAPP(c_Set_Oimage(_u19804, _u19805, _u19806), _u19807) != _u19808) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19805, tc_HOL_Obool)), _u19809), _u19808)) | ( hAPP(c_Set_Oimage(_u19804, _u19805, _u19806), hAPP(c_Set_Oimage(_u19805, _u19804, c_Hilbert__Choice_Oinv__into(_u19804, _u19805, _u19807, _u19806)), _u19809)) = _u19809) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_image__surj__f__inv__f ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_image__surj__f__inv__f-1, axiom, ( ( hAPP(c_Set_Oimage(_u19810, _u19811, _u19812), c_Orderings_Otop__class_Otop(tc_fun(_u19810, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u19811, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u19810, _u19811, _u19812), hAPP(c_Set_Oimage(_u19811, _u19810, c_Hilbert__Choice_Oinv__into(_u19810, _u19811, c_Orderings_Otop__class_Otop(tc_fun(_u19810, tc_HOL_Obool)), _u19812)), _u19813)) = _u19813) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_surj__f__inv__f ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_surj__f__inv__f-1, axiom, ( ( hAPP(c_Set_Oimage(_u19814, _u19815, _u19816), c_Orderings_Otop__class_Otop(tc_fun(_u19814, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u19815, tc_HOL_Obool))) | ( hAPP(_u19816, hAPP(c_Hilbert__Choice_Oinv__into(_u19814, _u19815, c_Orderings_Otop__class_Otop(tc_fun(_u19814, tc_HOL_Obool)), _u19816), _u19817)) = _u19817) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_surj__iff__all ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_surj__iff__all-1, axiom, ( ( hAPP(c_Set_Oimage(_u19823, _u19825, _u19827), c_Orderings_Otop__class_Otop(tc_fun(_u19823, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u19825, tc_HOL_Obool))) | ( hAPP(_u19827, hAPP(c_Hilbert__Choice_Oinv__into(_u19823, _u19825, c_Orderings_Otop__class_Otop(tc_fun(_u19823, tc_HOL_Obool)), _u19827), _u19818)) = _u19818) )).
% 19.51/19.74 cnf(fact_surj__iff__all-2, axiom, ( ( hAPP(_u19828, hAPP(c_Hilbert__Choice_Oinv__into(_u19824, _u19826, c_Orderings_Otop__class_Otop(tc_fun(_u19824, tc_HOL_Obool)), _u19828), skolem536(_u19828, _u19826, _u19824))) != skolem536(_u19828, _u19826, _u19824)) | ( hAPP(c_Set_Oimage(_u19824, _u19826, _u19828), c_Orderings_Otop__class_Otop(tc_fun(_u19824, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u19826, tc_HOL_Obool))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_inv__into__injective ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_inv__into__injective-1, axiom, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u19829, _u19830, _u19831, _u19832), _u19833) != hAPP(c_Hilbert__Choice_Oinv__into(_u19829, _u19830, _u19831, _u19832), _u19834)) | ~hBOOL(hAPP(hAPP(c_member(_u19830), _u19833), hAPP(c_Set_Oimage(_u19829, _u19830, _u19832), _u19831))) | ~hBOOL(hAPP(hAPP(c_member(_u19830), _u19834), hAPP(c_Set_Oimage(_u19829, _u19830, _u19832), _u19831))) | ( _u19833 = _u19834) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_inv__into__into ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_inv__into__into-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19835), _u19836), hAPP(c_Set_Oimage(_u19837, _u19835, _u19838), _u19839))) | hBOOL(hAPP(hAPP(c_member(_u19837), hAPP(c_Hilbert__Choice_Oinv__into(_u19837, _u19835, _u19839, _u19838), _u19836)), _u19839)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_f__inv__into__f ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_f__inv__into__f-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19840), _u19841), hAPP(c_Set_Oimage(_u19842, _u19840, _u19843), _u19844))) | ( hAPP(_u19843, hAPP(c_Hilbert__Choice_Oinv__into(_u19842, _u19840, _u19844, _u19843), _u19841)) = _u19841) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_inv__into__f__eq ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_inv__into__f__eq-1, axiom, ( ~c_Fun_Oinj__on(_u19845, _u19846, _u19847, _u19848) | ~hBOOL(hAPP(hAPP(c_member(_u19845), _u19849), _u19848)) | ( hAPP(_u19847, _u19849) != _u19850) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u19845, _u19846, _u19848, _u19847), _u19850) = _u19849) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_inv__into__f__f ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_inv__into__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u19851, _u19852, _u19853, _u19854) | ~hBOOL(hAPP(hAPP(c_member(_u19851), _u19855), _u19854)) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u19851, _u19852, _u19854, _u19853), hAPP(_u19853, _u19855)) = _u19855) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_inv__f__f ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_inv__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u19856, _u19857, _u19858, c_Orderings_Otop__class_Otop(tc_fun(_u19856, tc_HOL_Obool))) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u19856, _u19857, c_Orderings_Otop__class_Otop(tc_fun(_u19856, tc_HOL_Obool)), _u19858), hAPP(_u19858, _u19859)) = _u19859) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_inv__f__eq ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_inv__f__eq-1, axiom, ( ~c_Fun_Oinj__on(_u19860, _u19861, _u19862, c_Orderings_Otop__class_Otop(tc_fun(_u19860, tc_HOL_Obool))) | ( hAPP(_u19862, _u19863) != _u19864) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u19860, _u19861, c_Orderings_Otop__class_Otop(tc_fun(_u19860, tc_HOL_Obool)), _u19862), _u19864) = _u19863) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_inv__id ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_inv__id-1, axiom, ( ( c_Hilbert__Choice_Oinv__into(_u19865, _u19865, c_Orderings_Otop__class_Otop(tc_fun(_u19865, tc_HOL_Obool)), c_Fun_Oid(_u19865)) = c_Fun_Oid(_u19865)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_inv__into__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_inv__into__def-1, axiom, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u19866, _u19867, _u19868, _u19869), _u19870) = c_Hilbert__Choice_OEps(_u19866, hAPP(hAPP(c_COMBS(_u19866, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19866), c_fconj), hAPP(hAPP(c_COMBC(_u19866, tc_fun(_u19866, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19866)), _u19868))), hAPP(hAPP(c_COMBC(_u19866, _u19867, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u19867, tc_fun(_u19867, tc_HOL_Obool), _u19866), c_fequal), _u19869)), _u19870)))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_o__inv__o__cancel ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_o__inv__o__cancel-1, axiom, ( ~c_Fun_Oinj__on(_u19871, _u19872, _u19873, c_Orderings_Otop__class_Otop(tc_fun(_u19871, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u19872, _u19874, _u19871, hAPP(c_Fun_Ocomp(_u19871, _u19874, _u19872, _u19875), c_Hilbert__Choice_Oinv__into(_u19871, _u19872, c_Orderings_Otop__class_Otop(tc_fun(_u19871, tc_HOL_Obool)), _u19873))), _u19873) = _u19875) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_inv__into__comp ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_inv__into__comp-1, axiom, ( ~c_Fun_Oinj__on(_u19876, _u19877, _u19878, hAPP(c_Set_Oimage(_u19879, _u19876, _u19880), _u19881)) | ~c_Fun_Oinj__on(_u19879, _u19876, _u19880, _u19881) | ~hBOOL(hAPP(hAPP(c_member(_u19877), _u19882), hAPP(c_Set_Oimage(_u19876, _u19877, _u19878), hAPP(c_Set_Oimage(_u19879, _u19876, _u19880), _u19881)))) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u19879, _u19877, _u19881, hAPP(c_Fun_Ocomp(_u19876, _u19877, _u19879, _u19878), _u19880)), _u19882) = hAPP(hAPP(c_Fun_Ocomp(_u19876, _u19879, _u19877, c_Hilbert__Choice_Oinv__into(_u19879, _u19876, _u19881, _u19880)), c_Hilbert__Choice_Oinv__into(_u19876, _u19877, hAPP(c_Set_Oimage(_u19879, _u19876, _u19880), _u19881), _u19878)), _u19882)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_surj__iff ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_surj__iff-1, axiom, ( ( hAPP(c_Set_Oimage(_u19886, _u19888, _u19890), c_Orderings_Otop__class_Otop(tc_fun(_u19886, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u19888, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u19886, _u19888, _u19888, _u19890), c_Hilbert__Choice_Oinv__into(_u19886, _u19888, c_Orderings_Otop__class_Otop(tc_fun(_u19886, tc_HOL_Obool)), _u19890)) = c_Fun_Oid(_u19888)) )).
% 19.51/19.74 cnf(fact_surj__iff-2, axiom, ( ( hAPP(c_Fun_Ocomp(_u19887, _u19889, _u19889, _u19891), c_Hilbert__Choice_Oinv__into(_u19887, _u19889, c_Orderings_Otop__class_Otop(tc_fun(_u19887, tc_HOL_Obool)), _u19891)) != c_Fun_Oid(_u19889)) | ( hAPP(c_Set_Oimage(_u19887, _u19889, _u19891), c_Orderings_Otop__class_Otop(tc_fun(_u19887, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u19889, tc_HOL_Obool))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_inj__transfer ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_inj__transfer-1, axiom, ( ~c_Fun_Oinj__on(_u19893, _u19894, _u19895, c_Orderings_Otop__class_Otop(tc_fun(_u19893, tc_HOL_Obool))) | hBOOL(hAPP(_u19896, _u19897)) | hBOOL(hAPP(hAPP(c_member(_u19894), skolem537(_u19897, _u19896, _u19895, _u19894, _u19893)), hAPP(c_Set_Oimage(_u19893, _u19894, _u19895), c_Orderings_Otop__class_Otop(tc_fun(_u19893, tc_HOL_Obool))))) )).
% 19.51/19.74 cnf(fact_inj__transfer-2, axiom, ( ~c_Fun_Oinj__on(_u19893, _u19894, _u19895, c_Orderings_Otop__class_Otop(tc_fun(_u19893, tc_HOL_Obool))) | hBOOL(hAPP(_u19896, _u19897)) | ~hBOOL(hAPP(_u19896, hAPP(c_Hilbert__Choice_Oinv__into(_u19893, _u19894, c_Orderings_Otop__class_Otop(tc_fun(_u19893, tc_HOL_Obool)), _u19895), skolem537(_u19897, _u19896, _u19895, _u19894, _u19893)))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_fold__image__UN__disjoint ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_fold__image__UN__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u19901) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19902), _u19903)) | hBOOL(hAPP(hAPP(c_member(_u19902), skolem538(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901)), _u19903)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19904, c_Groups_Otimes__class_Otimes(_u19901)), _u19906), c_Groups_Oone__class_Oone(_u19901)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19902, tc_fun(_u19904, tc_HOL_Obool)), _u19903), _u19905)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19902, c_Groups_Otimes__class_Otimes(_u19901)), hAPP(hAPP(c_COMBB(tc_fun(_u19904, tc_HOL_Obool), _u19901, _u19902), hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19904, c_Groups_Otimes__class_Otimes(_u19901)), _u19906), c_Groups_Oone__class_Oone(_u19901))), _u19905)), c_Groups_Oone__class_Oone(_u19901)), _u19903)) | hBOOL(hAPP(hAPP(c_member(_u19902), skolem539(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901)), _u19903)) )).
% 19.51/19.74 cnf(fact_fold__image__UN__disjoint-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u19901) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19902), _u19903)) | hBOOL(hAPP(hAPP(c_member(_u19902), skolem538(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901)), _u19903)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19904, c_Groups_Otimes__class_Otimes(_u19901)), _u19906), c_Groups_Oone__class_Oone(_u19901)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19902, tc_fun(_u19904, tc_HOL_Obool)), _u19903), _u19905)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19902, c_Groups_Otimes__class_Otimes(_u19901)), hAPP(hAPP(c_COMBB(tc_fun(_u19904, tc_HOL_Obool), _u19901, _u19902), hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19904, c_Groups_Otimes__class_Otimes(_u19901)), _u19906), c_Groups_Oone__class_Oone(_u19901))), _u19905)), c_Groups_Oone__class_Oone(_u19901)), _u19903)) | hBOOL(hAPP(hAPP(c_member(_u19902), skolem540(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901)), _u19903)) )).
% 19.51/19.74 cnf(fact_fold__image__UN__disjoint-3, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u19901) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19902), _u19903)) | hBOOL(hAPP(hAPP(c_member(_u19902), skolem538(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901)), _u19903)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19904, c_Groups_Otimes__class_Otimes(_u19901)), _u19906), c_Groups_Oone__class_Oone(_u19901)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19902, tc_fun(_u19904, tc_HOL_Obool)), _u19903), _u19905)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19902, c_Groups_Otimes__class_Otimes(_u19901)), hAPP(hAPP(c_COMBB(tc_fun(_u19904, tc_HOL_Obool), _u19901, _u19902), hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19904, c_Groups_Otimes__class_Otimes(_u19901)), _u19906), c_Groups_Oone__class_Oone(_u19901))), _u19905)), c_Groups_Oone__class_Oone(_u19901)), _u19903)) | ( skolem539(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901) != skolem540(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901)) )).
% 19.51/19.74 cnf(fact_fold__image__UN__disjoint-4, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u19901) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19902), _u19903)) | hBOOL(hAPP(hAPP(c_member(_u19902), skolem538(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901)), _u19903)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19904, c_Groups_Otimes__class_Otimes(_u19901)), _u19906), c_Groups_Oone__class_Oone(_u19901)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19902, tc_fun(_u19904, tc_HOL_Obool)), _u19903), _u19905)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19902, c_Groups_Otimes__class_Otimes(_u19901)), hAPP(hAPP(c_COMBB(tc_fun(_u19904, tc_HOL_Obool), _u19901, _u19902), hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19904, c_Groups_Otimes__class_Otimes(_u19901)), _u19906), c_Groups_Oone__class_Oone(_u19901))), _u19905)), c_Groups_Oone__class_Oone(_u19901)), _u19903)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19904, tc_HOL_Obool)), hAPP(_u19905, skolem539(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901))), hAPP(_u19905, skolem540(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901))) != c_Orderings_Obot__class_Obot(tc_fun(_u19904, tc_HOL_Obool))) )).
% 19.51/19.74 cnf(fact_fold__image__UN__disjoint-5, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u19901) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19902), _u19903)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19904), hAPP(_u19905, skolem538(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19904, c_Groups_Otimes__class_Otimes(_u19901)), _u19906), c_Groups_Oone__class_Oone(_u19901)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19902, tc_fun(_u19904, tc_HOL_Obool)), _u19903), _u19905)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19902, c_Groups_Otimes__class_Otimes(_u19901)), hAPP(hAPP(c_COMBB(tc_fun(_u19904, tc_HOL_Obool), _u19901, _u19902), hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19904, c_Groups_Otimes__class_Otimes(_u19901)), _u19906), c_Groups_Oone__class_Oone(_u19901))), _u19905)), c_Groups_Oone__class_Oone(_u19901)), _u19903)) | hBOOL(hAPP(hAPP(c_member(_u19902), skolem539(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901)), _u19903)) )).
% 19.51/19.74 cnf(fact_fold__image__UN__disjoint-6, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u19901) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19902), _u19903)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19904), hAPP(_u19905, skolem538(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19904, c_Groups_Otimes__class_Otimes(_u19901)), _u19906), c_Groups_Oone__class_Oone(_u19901)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19902, tc_fun(_u19904, tc_HOL_Obool)), _u19903), _u19905)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19902, c_Groups_Otimes__class_Otimes(_u19901)), hAPP(hAPP(c_COMBB(tc_fun(_u19904, tc_HOL_Obool), _u19901, _u19902), hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19904, c_Groups_Otimes__class_Otimes(_u19901)), _u19906), c_Groups_Oone__class_Oone(_u19901))), _u19905)), c_Groups_Oone__class_Oone(_u19901)), _u19903)) | hBOOL(hAPP(hAPP(c_member(_u19902), skolem540(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901)), _u19903)) )).
% 19.51/19.74 cnf(fact_fold__image__UN__disjoint-7, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u19901) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19902), _u19903)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19904), hAPP(_u19905, skolem538(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19904, c_Groups_Otimes__class_Otimes(_u19901)), _u19906), c_Groups_Oone__class_Oone(_u19901)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19902, tc_fun(_u19904, tc_HOL_Obool)), _u19903), _u19905)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19902, c_Groups_Otimes__class_Otimes(_u19901)), hAPP(hAPP(c_COMBB(tc_fun(_u19904, tc_HOL_Obool), _u19901, _u19902), hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19904, c_Groups_Otimes__class_Otimes(_u19901)), _u19906), c_Groups_Oone__class_Oone(_u19901))), _u19905)), c_Groups_Oone__class_Oone(_u19901)), _u19903)) | ( skolem539(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901) != skolem540(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901)) )).
% 19.51/19.74 cnf(fact_fold__image__UN__disjoint-8, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u19901) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19902), _u19903)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19904), hAPP(_u19905, skolem538(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19904, c_Groups_Otimes__class_Otimes(_u19901)), _u19906), c_Groups_Oone__class_Oone(_u19901)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19902, tc_fun(_u19904, tc_HOL_Obool)), _u19903), _u19905)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19902, c_Groups_Otimes__class_Otimes(_u19901)), hAPP(hAPP(c_COMBB(tc_fun(_u19904, tc_HOL_Obool), _u19901, _u19902), hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19904, c_Groups_Otimes__class_Otimes(_u19901)), _u19906), c_Groups_Oone__class_Oone(_u19901))), _u19905)), c_Groups_Oone__class_Oone(_u19901)), _u19903)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19904, tc_HOL_Obool)), hAPP(_u19905, skolem539(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901))), hAPP(_u19905, skolem540(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901))) != c_Orderings_Obot__class_Obot(tc_fun(_u19904, tc_HOL_Obool))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_nat__of__cases ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_nat__of__cases-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u19908), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u19908 = hAPP(c_Code__Numeral_Onat__of, skolem541(_u19908))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_nat__of__induct ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_nat__of__induct-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u19910), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u19911, hAPP(c_Code__Numeral_Onat__of, skolem542(_u19911, _u19910)))) | hBOOL(hAPP(_u19911, _u19910)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_of__nat__cases ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_of__nat__cases-1, axiom, ( ( _u19913 = hAPP(c_Code__Numeral_Oof__nat, skolem543(_u19913))) )).
% 19.51/19.74 cnf(fact_of__nat__cases-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem543(_u19913)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_of__nat__induct ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_of__nat__induct-1, axiom, ( hBOOL(hAPP(_u19915, _u19916)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem544(_u19916, _u19915)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 19.51/19.74 cnf(fact_of__nat__induct-2, axiom, ( hBOOL(hAPP(_u19915, _u19916)) | ~hBOOL(hAPP(_u19915, hAPP(c_Code__Numeral_Oof__nat, skolem544(_u19916, _u19915)))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_lazy__sequence_Orecs_I1_J ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_lazy__sequence_Orecs_I1_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u19917, _u19918, _u19919, _u19920, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19918)) = _u19919) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_beyond__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_beyond__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u19923), _u19925)) | ( c_Quickcheck_Obeyond(_u19923, _u19925) = _u19925) )).
% 19.51/19.74 cnf(fact_beyond__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u19924), _u19926)) | ( c_Quickcheck_Obeyond(_u19924, _u19926) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_beyond__zero ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_beyond__zero-1, axiom, ( ( c_Quickcheck_Obeyond(_u19927, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_lazy__sequence_Orecs_I2_J ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_lazy__sequence_Orecs_I2_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u19928, _u19929, _u19930, _u19931, c_Lazy__Sequence_Olazy__sequence_OInsert(_u19929, _u19932, _u19933)) = hAPP(hAPP(hAPP(_u19931, _u19932), _u19933), c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u19928, _u19929, _u19930, _u19931, _u19933))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_bij__image__Collect__eq ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_bij__image__Collect__eq-1, axiom, ( ~c_Fun_Obij__betw(_u19934, _u19935, _u19936, c_Orderings_Otop__class_Otop(tc_fun(_u19934, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u19935, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u19934, _u19935, _u19936), hAPP(c_Set_OCollect(_u19934), _u19937)) = hAPP(c_Set_OCollect(_u19935), hAPP(hAPP(c_COMBB(_u19934, tc_HOL_Obool, _u19935), _u19937), c_Hilbert__Choice_Oinv__into(_u19934, _u19935, c_Orderings_Otop__class_Otop(tc_fun(_u19934, tc_HOL_Obool)), _u19936)))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_curry__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_curry__def-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u19938, _u19939, _u19940, _u19941), _u19942), _u19943) = hAPP(_u19941, hAPP(hAPP(c_Product__Type_OPair(_u19938, _u19939), _u19942), _u19943))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_curryI ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_curryI-1, axiom, ( ~hBOOL(hAPP(_u19944, hAPP(hAPP(c_Product__Type_OPair(_u19945, _u19946), _u19947), _u19948))) | hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u19945, _u19946, tc_HOL_Obool, _u19944), _u19947), _u19948)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_bij__betw__id ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_bij__betw__id-1, axiom, ( c_Fun_Obij__betw(_u19949, _u19949, c_Fun_Oid(_u19949), _u19950, _u19950) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_bij__image__INT ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_bij__image__INT-1, axiom, ( ~c_Fun_Obij__betw(_u19951, _u19952, _u19953, c_Orderings_Otop__class_Otop(tc_fun(_u19951, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u19952, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u19951, _u19952, _u19953), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19954, tc_fun(_u19951, tc_HOL_Obool)), _u19955), _u19956)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19954, tc_fun(_u19952, tc_HOL_Obool)), _u19955), hAPP(hAPP(c_COMBB(tc_fun(_u19951, tc_HOL_Obool), tc_fun(_u19952, tc_HOL_Obool), _u19954), c_Set_Oimage(_u19951, _u19952, _u19953)), _u19956))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_o__inv__distrib ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_o__inv__distrib-1, axiom, ( ~c_Fun_Obij__betw(_u19957, _u19958, _u19959, c_Orderings_Otop__class_Otop(tc_fun(_u19957, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u19958, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u19960, _u19957, _u19961, c_Orderings_Otop__class_Otop(tc_fun(_u19960, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u19957, tc_HOL_Obool))) | ( c_Hilbert__Choice_Oinv__into(_u19960, _u19958, c_Orderings_Otop__class_Otop(tc_fun(_u19960, tc_HOL_Obool)), hAPP(c_Fun_Ocomp(_u19957, _u19958, _u19960, _u19959), _u19961)) = hAPP(c_Fun_Ocomp(_u19957, _u19960, _u19958, c_Hilbert__Choice_Oinv__into(_u19960, _u19957, c_Orderings_Otop__class_Otop(tc_fun(_u19960, tc_HOL_Obool)), _u19961)), c_Hilbert__Choice_Oinv__into(_u19957, _u19958, c_Orderings_Otop__class_Otop(tc_fun(_u19957, tc_HOL_Obool)), _u19959))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_inv__inv__eq ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_inv__inv__eq-1, axiom, ( ~c_Fun_Obij__betw(_u19962, _u19963, _u19964, c_Orderings_Otop__class_Otop(tc_fun(_u19962, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u19963, tc_HOL_Obool))) | ( c_Hilbert__Choice_Oinv__into(_u19963, _u19962, c_Orderings_Otop__class_Otop(tc_fun(_u19963, tc_HOL_Obool)), c_Hilbert__Choice_Oinv__into(_u19962, _u19963, c_Orderings_Otop__class_Otop(tc_fun(_u19962, tc_HOL_Obool)), _u19964)) = _u19964) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_bij__imp__bij__inv ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_bij__imp__bij__inv-1, axiom, ( ~c_Fun_Obij__betw(_u19965, _u19966, _u19967, c_Orderings_Otop__class_Otop(tc_fun(_u19965, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u19966, tc_HOL_Obool))) | c_Fun_Obij__betw(_u19966, _u19965, c_Hilbert__Choice_Oinv__into(_u19965, _u19966, c_Orderings_Otop__class_Otop(tc_fun(_u19965, tc_HOL_Obool)), _u19967), c_Orderings_Otop__class_Otop(tc_fun(_u19966, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u19965, tc_HOL_Obool))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_inv__into__inv__into__eq ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_inv__into__inv__into__eq-1, axiom, ( ~c_Fun_Obij__betw(_u19968, _u19969, _u19970, _u19971, _u19972) | ~hBOOL(hAPP(hAPP(c_member(_u19968), _u19973), _u19971)) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u19969, _u19968, _u19972, c_Hilbert__Choice_Oinv__into(_u19968, _u19969, _u19971, _u19970)), _u19973) = hAPP(_u19970, _u19973)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_bij__betw__inv__into ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_bij__betw__inv__into-1, axiom, ( ~c_Fun_Obij__betw(_u19974, _u19975, _u19976, _u19977, _u19978) | c_Fun_Obij__betw(_u19975, _u19974, c_Hilbert__Choice_Oinv__into(_u19974, _u19975, _u19977, _u19976), _u19978, _u19977) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_curry__split ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_curry__split-1, axiom, ( ( c_Product__Type_Ocurry(_u19979, _u19980, _u19981, hAPP(c_Product__Type_Oprod_Oprod__case(_u19979, _u19980, _u19981), _u19982)) = _u19982) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_split__curry ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_split__curry-1, axiom, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u19983, _u19984, _u19985), c_Product__Type_Ocurry(_u19983, _u19984, _u19985, _u19986)) = _u19986) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_bij__image__Compl__eq ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_bij__image__Compl__eq-1, axiom, ( ~c_Fun_Obij__betw(_u19987, _u19988, _u19989, c_Orderings_Otop__class_Otop(tc_fun(_u19987, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u19988, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u19987, _u19988, _u19989), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u19987, tc_HOL_Obool)), _u19990)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u19988, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u19987, _u19988, _u19989), _u19990))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_bij__betw__combine ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_bij__betw__combine-1, axiom, ( ~c_Fun_Obij__betw(_u19991, _u19992, _u19993, _u19994, _u19995) | ~c_Fun_Obij__betw(_u19991, _u19992, _u19993, _u19996, _u19997) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19992, tc_HOL_Obool)), _u19995), _u19997) != c_Orderings_Obot__class_Obot(tc_fun(_u19992, tc_HOL_Obool))) | c_Fun_Obij__betw(_u19991, _u19992, _u19993, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19991, tc_HOL_Obool)), _u19994), _u19996), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19992, tc_HOL_Obool)), _u19995), _u19997)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_bij__betw__Disj__Un ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_bij__betw__Disj__Un-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19998, tc_HOL_Obool)), _u19999), _u20000) != c_Orderings_Obot__class_Obot(tc_fun(_u19998, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20001, tc_HOL_Obool)), _u20002), _u20003) != c_Orderings_Obot__class_Obot(tc_fun(_u20001, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u19998, _u20001, _u20004, _u19999, _u20002) | ~c_Fun_Obij__betw(_u19998, _u20001, _u20004, _u20000, _u20003) | c_Fun_Obij__betw(_u19998, _u20001, _u20004, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19998, tc_HOL_Obool)), _u19999), _u20000), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20001, tc_HOL_Obool)), _u20002), _u20003)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_bij__id ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_bij__id-1, axiom, ( c_Fun_Obij__betw(_u20005, _u20005, c_Fun_Oid(_u20005), c_Orderings_Otop__class_Otop(tc_fun(_u20005, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20005, tc_HOL_Obool))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_bij__betw__id__iff ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_bij__betw__id__iff-1, axiom, ( ( _u20011 = _u20013) | ~c_Fun_Obij__betw(_u20009, _u20009, c_Fun_Oid(_u20009), _u20011, _u20013) )).
% 19.51/19.74 cnf(fact_bij__betw__id__iff-2, axiom, ( ( _u20012 != _u20014) | c_Fun_Obij__betw(_u20010, _u20010, c_Fun_Oid(_u20010), _u20012, _u20014) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_BIJ ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_BIJ-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20017), _u20018)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20019), _u20020)) | ~c_Fun_Obij__betw(_u20017, _u20019, _u20015, _u20018, _u20020) | ( hAPP(c_Finite__Set_Ocard(_u20017), _u20018) = hAPP(c_Finite__Set_Ocard(_u20019), _u20020)) )).
% 19.51/19.74 cnf(fact_BIJ-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20017), _u20018)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20019), _u20020)) | ( hAPP(c_Finite__Set_Ocard(_u20017), _u20018) != hAPP(c_Finite__Set_Ocard(_u20019), _u20020)) | c_Fun_Obij__betw(_u20017, _u20019, skolem545(_u20020, _u20019, _u20018, _u20017), _u20018, _u20020) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_bij__betw__finite ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_bij__betw__finite-1, axiom, ( ~c_Fun_Obij__betw(_u20021, _u20022, _u20023, _u20024, _u20025) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20021), _u20024)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20022), _u20025)) )).
% 19.51/19.74 cnf(fact_bij__betw__finite-2, axiom, ( ~c_Fun_Obij__betw(_u20021, _u20022, _u20023, _u20024, _u20025) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20022), _u20025)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20021), _u20024)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_bij__betw__empty1 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_bij__betw__empty1-1, axiom, ( ( _u20029 = c_Orderings_Obot__class_Obot(tc_fun(_u20027, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20026, _u20027, _u20028, c_Orderings_Obot__class_Obot(tc_fun(_u20026, tc_HOL_Obool)), _u20029) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_bij__betw__empty2 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_bij__betw__empty2-1, axiom, ( ~c_Fun_Obij__betw(_u20030, _u20031, _u20032, _u20033, c_Orderings_Obot__class_Obot(tc_fun(_u20031, tc_HOL_Obool))) | ( _u20033 = c_Orderings_Obot__class_Obot(tc_fun(_u20030, tc_HOL_Obool))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_bij__betw__same__card ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_bij__betw__same__card-1, axiom, ( ~c_Fun_Obij__betw(_u20034, _u20035, _u20036, _u20037, _u20038) | ( hAPP(c_Finite__Set_Ocard(_u20034), _u20037) = hAPP(c_Finite__Set_Ocard(_u20035), _u20038)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_bij__betw__the__inv__into ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_bij__betw__the__inv__into-1, axiom, ( ~c_Fun_Obij__betw(_u20039, _u20040, _u20041, _u20042, _u20043) | c_Fun_Obij__betw(_u20040, _u20039, c_Fun_Othe__inv__into(_u20039, _u20040, _u20042, _u20041), _u20043, _u20042) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_bij__is__inj ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_bij__is__inj-1, axiom, ( ~c_Fun_Obij__betw(_u20044, _u20045, _u20046, c_Orderings_Otop__class_Otop(tc_fun(_u20044, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20045, tc_HOL_Obool))) | c_Fun_Oinj__on(_u20044, _u20045, _u20046, c_Orderings_Otop__class_Otop(tc_fun(_u20044, tc_HOL_Obool))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_bij__betw__imp__inj__on ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_bij__betw__imp__inj__on-1, axiom, ( ~c_Fun_Obij__betw(_u20047, _u20048, _u20049, _u20050, _u20051) | c_Fun_Oinj__on(_u20047, _u20048, _u20049, _u20050) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_bij__betw__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_bij__betw__def-1, axiom, ( ~c_Fun_Obij__betw(_u20057, _u20059, _u20061, _u20063, _u20065) | c_Fun_Oinj__on(_u20057, _u20059, _u20061, _u20063) )).
% 19.51/19.74 cnf(fact_bij__betw__def-2, axiom, ( ~c_Fun_Obij__betw(_u20057, _u20059, _u20061, _u20063, _u20065) | ( hAPP(c_Set_Oimage(_u20057, _u20059, _u20061), _u20063) = _u20065) )).
% 19.51/19.74 cnf(fact_bij__betw__def-3, axiom, ( ~c_Fun_Oinj__on(_u20058, _u20060, _u20062, _u20064) | ( hAPP(c_Set_Oimage(_u20058, _u20060, _u20062), _u20064) != _u20066) | c_Fun_Obij__betw(_u20058, _u20060, _u20062, _u20064, _u20066) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_inj__on__imp__bij__betw ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_inj__on__imp__bij__betw-1, axiom, ( ~c_Fun_Oinj__on(_u20067, _u20068, _u20069, _u20070) | c_Fun_Obij__betw(_u20067, _u20068, _u20069, _u20070, hAPP(c_Set_Oimage(_u20067, _u20068, _u20069), _u20070)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_bij__betw__imp__surj ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_bij__betw__imp__surj-1, axiom, ( ~c_Fun_Obij__betw(_u20071, _u20072, _u20073, _u20074, c_Orderings_Otop__class_Otop(tc_fun(_u20072, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20071, _u20072, _u20073), c_Orderings_Otop__class_Otop(tc_fun(_u20071, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20072, tc_HOL_Obool))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_bij__is__surj ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_bij__is__surj-1, axiom, ( ~c_Fun_Obij__betw(_u20075, _u20076, _u20077, c_Orderings_Otop__class_Otop(tc_fun(_u20075, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20076, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20075, _u20076, _u20077), c_Orderings_Otop__class_Otop(tc_fun(_u20075, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20076, tc_HOL_Obool))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_bij__betw__subset ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_bij__betw__subset-1, axiom, ( ~c_Fun_Obij__betw(_u20078, _u20079, _u20080, _u20081, _u20082) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20078, tc_HOL_Obool)), _u20083), _u20081)) | ( hAPP(c_Set_Oimage(_u20078, _u20079, _u20080), _u20083) != _u20084) | c_Fun_Obij__betw(_u20078, _u20079, _u20080, _u20083, _u20084) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_bij__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_bij__def-1, axiom, ( ~c_Fun_Obij__betw(_u20088, _u20090, _u20092, c_Orderings_Otop__class_Otop(tc_fun(_u20088, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20090, tc_HOL_Obool))) | c_Fun_Oinj__on(_u20088, _u20090, _u20092, c_Orderings_Otop__class_Otop(tc_fun(_u20088, tc_HOL_Obool))) )).
% 19.51/19.74 cnf(fact_bij__def-2, axiom, ( ~c_Fun_Obij__betw(_u20088, _u20090, _u20092, c_Orderings_Otop__class_Otop(tc_fun(_u20088, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20090, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20088, _u20090, _u20092), c_Orderings_Otop__class_Otop(tc_fun(_u20088, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20090, tc_HOL_Obool))) )).
% 19.51/19.74 cnf(fact_bij__def-3, axiom, ( ~c_Fun_Oinj__on(_u20089, _u20091, _u20093, c_Orderings_Otop__class_Otop(tc_fun(_u20089, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20089, _u20091, _u20093), c_Orderings_Otop__class_Otop(tc_fun(_u20089, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20091, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20089, _u20091, _u20093, c_Orderings_Otop__class_Otop(tc_fun(_u20089, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20091, tc_HOL_Obool))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_bijI ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_bijI-1, axiom, ( ~c_Fun_Oinj__on(_u20094, _u20095, _u20096, c_Orderings_Otop__class_Otop(tc_fun(_u20094, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20094, _u20095, _u20096), c_Orderings_Otop__class_Otop(tc_fun(_u20094, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20095, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20094, _u20095, _u20096, c_Orderings_Otop__class_Otop(tc_fun(_u20094, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20095, tc_HOL_Obool))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_finite__vimage__iff ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_finite__vimage__iff-1, axiom, ( ~c_Fun_Obij__betw(_u20097, _u20098, _u20099, c_Orderings_Otop__class_Otop(tc_fun(_u20097, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20098, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20097), hAPP(c_Set_Ovimage(_u20097, _u20098, _u20099), _u20100))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20098), _u20100)) )).
% 19.51/19.74 cnf(fact_finite__vimage__iff-2, axiom, ( ~c_Fun_Obij__betw(_u20097, _u20098, _u20099, c_Orderings_Otop__class_Otop(tc_fun(_u20097, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20098, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20098), _u20100)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20097), hAPP(c_Set_Ovimage(_u20097, _u20098, _u20099), _u20100))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_curryD ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_curryD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u20101, _u20102, tc_HOL_Obool, _u20103), _u20104), _u20105)) | hBOOL(hAPP(_u20103, hAPP(hAPP(c_Product__Type_OPair(_u20101, _u20102), _u20104), _u20105))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_curryE ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_curryE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u20106, _u20107, tc_HOL_Obool, _u20108), _u20109), _u20110)) | hBOOL(hAPP(_u20108, hAPP(hAPP(c_Product__Type_OPair(_u20106, _u20107), _u20109), _u20110))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_curry__conv ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_curry__conv-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u20111, _u20112, _u20113, _u20114), _u20115), _u20116) = hAPP(_u20114, hAPP(hAPP(c_Product__Type_OPair(_u20111, _u20112), _u20115), _u20116))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_bij__betw__comp__iff2 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_bij__betw__comp__iff2-1, axiom, ( ~c_Fun_Obij__betw(_u20117, _u20118, _u20119, _u20120, _u20121) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20117, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20122, _u20117, _u20123), _u20124)), _u20120)) | ~c_Fun_Obij__betw(_u20122, _u20117, _u20123, _u20124, _u20120) | c_Fun_Obij__betw(_u20122, _u20118, hAPP(c_Fun_Ocomp(_u20117, _u20118, _u20122, _u20119), _u20123), _u20124, _u20121) )).
% 19.51/19.74 cnf(fact_bij__betw__comp__iff2-2, axiom, ( ~c_Fun_Obij__betw(_u20117, _u20118, _u20119, _u20120, _u20121) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20117, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20122, _u20117, _u20123), _u20124)), _u20120)) | ~c_Fun_Obij__betw(_u20122, _u20118, hAPP(c_Fun_Ocomp(_u20117, _u20118, _u20122, _u20119), _u20123), _u20124, _u20121) | c_Fun_Obij__betw(_u20122, _u20117, _u20123, _u20124, _u20120) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_bij__comp ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_bij__comp-1, axiom, ( ~c_Fun_Obij__betw(_u20125, _u20126, _u20127, c_Orderings_Otop__class_Otop(tc_fun(_u20125, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20126, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20126, _u20128, _u20129, c_Orderings_Otop__class_Otop(tc_fun(_u20126, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20128, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20125, _u20128, hAPP(c_Fun_Ocomp(_u20126, _u20128, _u20125, _u20129), _u20127), c_Orderings_Otop__class_Otop(tc_fun(_u20125, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20128, tc_HOL_Obool))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_bij__betw__trans ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_bij__betw__trans-1, axiom, ( ~c_Fun_Obij__betw(_u20130, _u20131, _u20132, _u20133, _u20134) | ~c_Fun_Obij__betw(_u20131, _u20135, _u20136, _u20134, _u20137) | c_Fun_Obij__betw(_u20130, _u20135, hAPP(c_Fun_Ocomp(_u20131, _u20135, _u20130, _u20136), _u20132), _u20133, _u20137) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_bij__betw__comp__iff ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_bij__betw__comp__iff-1, axiom, ( ~c_Fun_Obij__betw(_u20138, _u20139, _u20140, _u20141, _u20142) | ~c_Fun_Obij__betw(_u20139, _u20143, _u20144, _u20142, _u20145) | c_Fun_Obij__betw(_u20138, _u20143, hAPP(c_Fun_Ocomp(_u20139, _u20143, _u20138, _u20144), _u20140), _u20141, _u20145) )).
% 19.51/19.74 cnf(fact_bij__betw__comp__iff-2, axiom, ( ~c_Fun_Obij__betw(_u20138, _u20139, _u20140, _u20141, _u20142) | ~c_Fun_Obij__betw(_u20138, _u20143, hAPP(c_Fun_Ocomp(_u20139, _u20143, _u20138, _u20144), _u20140), _u20141, _u20145) | c_Fun_Obij__betw(_u20139, _u20143, _u20144, _u20142, _u20145) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_vimage__subset__eq ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_vimage__subset__eq-1, axiom, ( ~c_Fun_Obij__betw(_u20146, _u20147, _u20148, c_Orderings_Otop__class_Otop(tc_fun(_u20146, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20147, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20146, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u20146, _u20147, _u20148), _u20149)), _u20150)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20147, tc_HOL_Obool)), _u20149), hAPP(c_Set_Oimage(_u20146, _u20147, _u20148), _u20150))) )).
% 19.51/19.74 cnf(fact_vimage__subset__eq-2, axiom, ( ~c_Fun_Obij__betw(_u20146, _u20147, _u20148, c_Orderings_Otop__class_Otop(tc_fun(_u20146, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20147, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20147, tc_HOL_Obool)), _u20149), hAPP(c_Set_Oimage(_u20146, _u20147, _u20148), _u20150))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20146, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u20146, _u20147, _u20148), _u20149)), _u20150)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_bij__vimage__eq__inv__image ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_bij__vimage__eq__inv__image-1, axiom, ( ~c_Fun_Obij__betw(_u20151, _u20152, _u20153, c_Orderings_Otop__class_Otop(tc_fun(_u20151, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20152, tc_HOL_Obool))) | ( hAPP(c_Set_Ovimage(_u20151, _u20152, _u20153), _u20154) = hAPP(c_Set_Oimage(_u20152, _u20151, c_Hilbert__Choice_Oinv__into(_u20151, _u20152, c_Orderings_Otop__class_Otop(tc_fun(_u20151, tc_HOL_Obool)), _u20153)), _u20154)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_ex__bij__betw__nat__finite__1 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_ex__bij__betw__nat__finite__1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20156), _u20157)) | c_Fun_Obij__betw(tc_Nat_Onat, _u20156, skolem546(_u20157, _u20156), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u20156), _u20157)), _u20157) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_Cantor__Bernstein ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_Cantor__Bernstein-1, axiom, ( ~c_Fun_Oinj__on(_u20159, _u20160, _u20161, _u20162) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20160, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20159, _u20160, _u20161), _u20162)), _u20163)) | ~c_Fun_Oinj__on(_u20160, _u20159, _u20164, _u20163) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20159, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20160, _u20159, _u20164), _u20163)), _u20162)) | c_Fun_Obij__betw(_u20159, _u20160, skolem547(_u20164, _u20163, _u20162, _u20161, _u20160, _u20159), _u20162, _u20163) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_ex__bij__betw__nat__finite ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_ex__bij__betw__nat__finite-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20166), _u20167)) | c_Fun_Obij__betw(tc_Nat_Onat, _u20166, skolem548(_u20167, _u20166), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u20166), _u20167)), _u20167) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_ex__bij__betw__finite__nat ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_ex__bij__betw__finite__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20169), _u20170)) | c_Fun_Obij__betw(_u20169, tc_Nat_Onat, skolem549(_u20170, _u20169), _u20170, hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u20169), _u20170))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_refl__on__UNION ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_refl__on__UNION-1, axiom, ( c_Relation_Orefl__on(_u20174, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20172, tc_fun(_u20174, tc_HOL_Obool)), _u20173), _u20175), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20172, tc_fun(tc_prod(_u20174, _u20174), tc_HOL_Obool)), _u20173), _u20176)) | hBOOL(hAPP(hAPP(c_member(_u20172), skolem550(_u20176, _u20175, _u20174, _u20173, _u20172)), _u20173)) )).
% 19.51/19.74 cnf(fact_refl__on__UNION-2, axiom, ( c_Relation_Orefl__on(_u20174, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20172, tc_fun(_u20174, tc_HOL_Obool)), _u20173), _u20175), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20172, tc_fun(tc_prod(_u20174, _u20174), tc_HOL_Obool)), _u20173), _u20176)) | ~c_Relation_Orefl__on(_u20174, hAPP(_u20175, skolem550(_u20176, _u20175, _u20174, _u20173, _u20172)), hAPP(_u20176, skolem550(_u20176, _u20175, _u20174, _u20173, _u20172))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_bex__reg__eqv ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_bex__reg__eqv-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u20181, _u20182) | ~hBOOL(hAPP(hAPP(c_member(_u20181), _u20177), c_Quotient_ORespects(_u20181, _u20182))) | ~hBOOL(hAPP(_u20183, _u20177)) | hBOOL(hAPP(_u20183, skolem551(_u20183, _u20182, _u20181))) )).
% 19.51/19.74 cnf(fact_bex__reg__eqv-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u20181, _u20182) | ~hBOOL(hAPP(_u20183, _u20179)) | hBOOL(hAPP(hAPP(c_member(_u20181), skolem552(_u20183, _u20182, _u20181)), c_Quotient_ORespects(_u20181, _u20182))) )).
% 19.51/19.74 cnf(fact_bex__reg__eqv-3, axiom, ( ~c_Equiv__Relations_Oequivp(_u20181, _u20182) | ~hBOOL(hAPP(_u20183, _u20179)) | hBOOL(hAPP(_u20183, skolem552(_u20183, _u20182, _u20181))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_Respects__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_Respects__def-1, axiom, ( hBOOL(hAPP(hAPP(_u20189, _u20191), _u20191)) | ~hBOOL(hAPP(c_Quotient_ORespects(_u20187, _u20189), _u20191)) )).
% 19.51/19.74 cnf(fact_Respects__def-2, axiom, ( ~hBOOL(hAPP(hAPP(_u20190, _u20192), _u20192)) | hBOOL(hAPP(c_Quotient_ORespects(_u20188, _u20190), _u20192)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_in__respects ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_in__respects-1, axiom, ( hBOOL(hAPP(hAPP(_u20200, _u20198), _u20198)) | ~hBOOL(hAPP(hAPP(c_member(_u20196), _u20198), c_Quotient_ORespects(_u20196, _u20200))) )).
% 19.51/19.74 cnf(fact_in__respects-2, axiom, ( ~hBOOL(hAPP(hAPP(_u20201, _u20199), _u20199)) | hBOOL(hAPP(hAPP(c_member(_u20197), _u20199), c_Quotient_ORespects(_u20197, _u20201))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_bex__reg__right ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_bex__reg__right-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u20205, _u20206) | hBOOL(hAPP(_u20207, skolem553(_u20208, _u20207, _u20206, _u20205))) | ~hBOOL(hAPP(_u20207, _u20203)) | hBOOL(hAPP(hAPP(c_member(_u20205), skolem554(_u20208, _u20207, _u20206, _u20205)), c_Quotient_ORespects(_u20205, _u20206))) )).
% 19.51/19.74 cnf(fact_bex__reg__right-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u20205, _u20206) | hBOOL(hAPP(_u20207, skolem553(_u20208, _u20207, _u20206, _u20205))) | ~hBOOL(hAPP(_u20207, _u20203)) | hBOOL(hAPP(_u20208, skolem554(_u20208, _u20207, _u20206, _u20205))) )).
% 19.51/19.74 cnf(fact_bex__reg__right-3, axiom, ( ~c_Equiv__Relations_Oequivp(_u20205, _u20206) | ~hBOOL(hAPP(_u20208, skolem553(_u20208, _u20207, _u20206, _u20205))) | ~hBOOL(hAPP(_u20207, _u20203)) | hBOOL(hAPP(hAPP(c_member(_u20205), skolem554(_u20208, _u20207, _u20206, _u20205)), c_Quotient_ORespects(_u20205, _u20206))) )).
% 19.51/19.74 cnf(fact_bex__reg__right-4, axiom, ( ~c_Equiv__Relations_Oequivp(_u20205, _u20206) | ~hBOOL(hAPP(_u20208, skolem553(_u20208, _u20207, _u20206, _u20205))) | ~hBOOL(hAPP(_u20207, _u20203)) | hBOOL(hAPP(_u20208, skolem554(_u20208, _u20207, _u20206, _u20205))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_babs__reg__eqv ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_babs__reg__eqv-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u20209, _u20210) | ( c_Quotient_OBabs(_u20209, _u20211, c_Quotient_ORespects(_u20209, _u20210), _u20212) = _u20212) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_Babs__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_Babs__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20213), _u20214), _u20215)) | ( hAPP(c_Quotient_OBabs(_u20213, _u20216, _u20215, _u20217), _u20214) = hAPP(_u20217, _u20214)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_wf__weak__decr__stable ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_wf__weak__decr__stable-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20221, _u20221)), hAPP(hAPP(c_Product__Type_OPair(_u20221, _u20221), hAPP(_u20222, hAPP(c_Nat_OSuc, skolem555(_u20223, _u20222, _u20221)))), hAPP(_u20222, skolem555(_u20223, _u20222, _u20221)))), c_Transitive__Closure_Ortrancl(_u20221, _u20223))) | ~c_Wellfounded_Owf(_u20221, c_Transitive__Closure_Otrancl(_u20221, _u20223)) | ( hAPP(_u20222, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem556(_u20223, _u20222, _u20221)), _u20219)) = hAPP(_u20222, skolem556(_u20223, _u20222, _u20221))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_INT__greatest ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_INT__greatest-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20227, tc_HOL_Obool)), _u20228), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20225, tc_fun(_u20227, tc_HOL_Obool)), _u20226), _u20229))) | hBOOL(hAPP(hAPP(c_member(_u20225), skolem557(_u20229, _u20228, _u20227, _u20226, _u20225)), _u20226)) )).
% 19.51/19.74 cnf(fact_INT__greatest-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20227, tc_HOL_Obool)), _u20228), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20225, tc_fun(_u20227, tc_HOL_Obool)), _u20226), _u20229))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20227, tc_HOL_Obool)), _u20228), hAPP(_u20229, skolem557(_u20229, _u20228, _u20227, _u20226, _u20225)))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_INT__anti__mono ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_INT__anti__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20231, tc_HOL_Obool)), _u20232), _u20233)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20234, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20231, tc_fun(_u20234, tc_HOL_Obool)), _u20233), _u20235)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20231, tc_fun(_u20234, tc_HOL_Obool)), _u20233), _u20236))) | hBOOL(hAPP(hAPP(c_member(_u20231), skolem558(_u20236, _u20235, _u20234, _u20233, _u20232, _u20231)), _u20233)) )).
% 19.51/19.74 cnf(fact_INT__anti__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20231, tc_HOL_Obool)), _u20232), _u20233)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20234, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20231, tc_fun(_u20234, tc_HOL_Obool)), _u20233), _u20235)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20231, tc_fun(_u20234, tc_HOL_Obool)), _u20233), _u20236))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20234, tc_HOL_Obool)), hAPP(_u20235, skolem558(_u20236, _u20235, _u20234, _u20233, _u20232, _u20231))), hAPP(_u20236, skolem558(_u20236, _u20235, _u20234, _u20233, _u20232, _u20231)))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_rtrancl__induct2 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_rtrancl__induct2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20241, _u20242), tc_prod(_u20241, _u20242))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20241, _u20242), tc_prod(_u20241, _u20242)), hAPP(hAPP(c_Product__Type_OPair(_u20241, _u20242), _u20243), _u20244)), hAPP(hAPP(c_Product__Type_OPair(_u20241, _u20242), _u20245), _u20246))), c_Transitive__Closure_Ortrancl(tc_prod(_u20241, _u20242), _u20247))) | ~hBOOL(hAPP(hAPP(_u20248, _u20243), _u20244)) | hBOOL(hAPP(hAPP(_u20248, _u20245), _u20246)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20241, _u20242), tc_prod(_u20241, _u20242))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20241, _u20242), tc_prod(_u20241, _u20242)), hAPP(hAPP(c_Product__Type_OPair(_u20241, _u20242), _u20243), _u20244)), hAPP(hAPP(c_Product__Type_OPair(_u20241, _u20242), skolem559(_u20248, _u20247, _u20246, _u20245, _u20244, _u20243, _u20242, _u20241)), skolem560(_u20248, _u20247, _u20246, _u20245, _u20244, _u20243, _u20242, _u20241)))), c_Transitive__Closure_Ortrancl(tc_prod(_u20241, _u20242), _u20247))) )).
% 19.51/19.74 cnf(fact_rtrancl__induct2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20241, _u20242), tc_prod(_u20241, _u20242))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20241, _u20242), tc_prod(_u20241, _u20242)), hAPP(hAPP(c_Product__Type_OPair(_u20241, _u20242), _u20243), _u20244)), hAPP(hAPP(c_Product__Type_OPair(_u20241, _u20242), _u20245), _u20246))), c_Transitive__Closure_Ortrancl(tc_prod(_u20241, _u20242), _u20247))) | ~hBOOL(hAPP(hAPP(_u20248, _u20243), _u20244)) | hBOOL(hAPP(hAPP(_u20248, _u20245), _u20246)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20241, _u20242), tc_prod(_u20241, _u20242))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20241, _u20242), tc_prod(_u20241, _u20242)), hAPP(hAPP(c_Product__Type_OPair(_u20241, _u20242), skolem559(_u20248, _u20247, _u20246, _u20245, _u20244, _u20243, _u20242, _u20241)), skolem560(_u20248, _u20247, _u20246, _u20245, _u20244, _u20243, _u20242, _u20241))), hAPP(hAPP(c_Product__Type_OPair(_u20241, _u20242), skolem561(_u20248, _u20247, _u20246, _u20245, _u20244, _u20243, _u20242, _u20241)), skolem562(_u20248, _u20247, _u20246, _u20245, _u20244, _u20243, _u20242, _u20241)))), _u20247)) )).
% 19.51/19.74 cnf(fact_rtrancl__induct2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20241, _u20242), tc_prod(_u20241, _u20242))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20241, _u20242), tc_prod(_u20241, _u20242)), hAPP(hAPP(c_Product__Type_OPair(_u20241, _u20242), _u20243), _u20244)), hAPP(hAPP(c_Product__Type_OPair(_u20241, _u20242), _u20245), _u20246))), c_Transitive__Closure_Ortrancl(tc_prod(_u20241, _u20242), _u20247))) | ~hBOOL(hAPP(hAPP(_u20248, _u20243), _u20244)) | hBOOL(hAPP(hAPP(_u20248, _u20245), _u20246)) | hBOOL(hAPP(hAPP(_u20248, skolem559(_u20248, _u20247, _u20246, _u20245, _u20244, _u20243, _u20242, _u20241)), skolem560(_u20248, _u20247, _u20246, _u20245, _u20244, _u20243, _u20242, _u20241))) )).
% 19.51/19.74 cnf(fact_rtrancl__induct2-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20241, _u20242), tc_prod(_u20241, _u20242))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20241, _u20242), tc_prod(_u20241, _u20242)), hAPP(hAPP(c_Product__Type_OPair(_u20241, _u20242), _u20243), _u20244)), hAPP(hAPP(c_Product__Type_OPair(_u20241, _u20242), _u20245), _u20246))), c_Transitive__Closure_Ortrancl(tc_prod(_u20241, _u20242), _u20247))) | ~hBOOL(hAPP(hAPP(_u20248, _u20243), _u20244)) | hBOOL(hAPP(hAPP(_u20248, _u20245), _u20246)) | ~hBOOL(hAPP(hAPP(_u20248, skolem561(_u20248, _u20247, _u20246, _u20245, _u20244, _u20243, _u20242, _u20241)), skolem562(_u20248, _u20247, _u20246, _u20245, _u20244, _u20243, _u20242, _u20241))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_converse__rtranclE2 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_converse__rtranclE2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20251, _u20252), tc_prod(_u20251, _u20252))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20251, _u20252), tc_prod(_u20251, _u20252)), hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20252), _u20253), _u20254)), hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20252), _u20255), _u20256))), c_Transitive__Closure_Ortrancl(tc_prod(_u20251, _u20252), _u20257))) | ( hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20252), _u20253), _u20254) = hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20252), _u20255), _u20256)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20251, _u20252), tc_prod(_u20251, _u20252))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20251, _u20252), tc_prod(_u20251, _u20252)), hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20252), _u20253), _u20254)), hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20252), skolem563(_u20257, _u20256, _u20255, _u20254, _u20253, _u20252, _u20251)), skolem564(_u20257, _u20256, _u20255, _u20254, _u20253, _u20252, _u20251)))), _u20257)) )).
% 19.51/19.74 cnf(fact_converse__rtranclE2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20251, _u20252), tc_prod(_u20251, _u20252))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20251, _u20252), tc_prod(_u20251, _u20252)), hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20252), _u20253), _u20254)), hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20252), _u20255), _u20256))), c_Transitive__Closure_Ortrancl(tc_prod(_u20251, _u20252), _u20257))) | ( hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20252), _u20253), _u20254) = hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20252), _u20255), _u20256)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20251, _u20252), tc_prod(_u20251, _u20252))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20251, _u20252), tc_prod(_u20251, _u20252)), hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20252), skolem563(_u20257, _u20256, _u20255, _u20254, _u20253, _u20252, _u20251)), skolem564(_u20257, _u20256, _u20255, _u20254, _u20253, _u20252, _u20251))), hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20252), _u20255), _u20256))), c_Transitive__Closure_Ortrancl(tc_prod(_u20251, _u20252), _u20257))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_converse__rtrancl__induct2 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_converse__rtrancl__induct2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20262, _u20263), tc_prod(_u20262, _u20263))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20262, _u20263), tc_prod(_u20262, _u20263)), hAPP(hAPP(c_Product__Type_OPair(_u20262, _u20263), _u20264), _u20265)), hAPP(hAPP(c_Product__Type_OPair(_u20262, _u20263), _u20266), _u20267))), c_Transitive__Closure_Ortrancl(tc_prod(_u20262, _u20263), _u20268))) | ~hBOOL(hAPP(hAPP(_u20269, _u20266), _u20267)) | hBOOL(hAPP(hAPP(_u20269, _u20264), _u20265)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20262, _u20263), tc_prod(_u20262, _u20263))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20262, _u20263), tc_prod(_u20262, _u20263)), hAPP(hAPP(c_Product__Type_OPair(_u20262, _u20263), skolem565(_u20269, _u20268, _u20267, _u20266, _u20265, _u20264, _u20263, _u20262)), skolem566(_u20269, _u20268, _u20267, _u20266, _u20265, _u20264, _u20263, _u20262))), hAPP(hAPP(c_Product__Type_OPair(_u20262, _u20263), skolem567(_u20269, _u20268, _u20267, _u20266, _u20265, _u20264, _u20263, _u20262)), skolem568(_u20269, _u20268, _u20267, _u20266, _u20265, _u20264, _u20263, _u20262)))), _u20268)) )).
% 19.51/19.74 cnf(fact_converse__rtrancl__induct2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20262, _u20263), tc_prod(_u20262, _u20263))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20262, _u20263), tc_prod(_u20262, _u20263)), hAPP(hAPP(c_Product__Type_OPair(_u20262, _u20263), _u20264), _u20265)), hAPP(hAPP(c_Product__Type_OPair(_u20262, _u20263), _u20266), _u20267))), c_Transitive__Closure_Ortrancl(tc_prod(_u20262, _u20263), _u20268))) | ~hBOOL(hAPP(hAPP(_u20269, _u20266), _u20267)) | hBOOL(hAPP(hAPP(_u20269, _u20264), _u20265)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20262, _u20263), tc_prod(_u20262, _u20263))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20262, _u20263), tc_prod(_u20262, _u20263)), hAPP(hAPP(c_Product__Type_OPair(_u20262, _u20263), skolem567(_u20269, _u20268, _u20267, _u20266, _u20265, _u20264, _u20263, _u20262)), skolem568(_u20269, _u20268, _u20267, _u20266, _u20265, _u20264, _u20263, _u20262))), hAPP(hAPP(c_Product__Type_OPair(_u20262, _u20263), _u20266), _u20267))), c_Transitive__Closure_Ortrancl(tc_prod(_u20262, _u20263), _u20268))) )).
% 19.51/19.74 cnf(fact_converse__rtrancl__induct2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20262, _u20263), tc_prod(_u20262, _u20263))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20262, _u20263), tc_prod(_u20262, _u20263)), hAPP(hAPP(c_Product__Type_OPair(_u20262, _u20263), _u20264), _u20265)), hAPP(hAPP(c_Product__Type_OPair(_u20262, _u20263), _u20266), _u20267))), c_Transitive__Closure_Ortrancl(tc_prod(_u20262, _u20263), _u20268))) | ~hBOOL(hAPP(hAPP(_u20269, _u20266), _u20267)) | hBOOL(hAPP(hAPP(_u20269, _u20264), _u20265)) | hBOOL(hAPP(hAPP(_u20269, skolem567(_u20269, _u20268, _u20267, _u20266, _u20265, _u20264, _u20263, _u20262)), skolem568(_u20269, _u20268, _u20267, _u20266, _u20265, _u20264, _u20263, _u20262))) )).
% 19.51/19.74 cnf(fact_converse__rtrancl__induct2-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20262, _u20263), tc_prod(_u20262, _u20263))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20262, _u20263), tc_prod(_u20262, _u20263)), hAPP(hAPP(c_Product__Type_OPair(_u20262, _u20263), _u20264), _u20265)), hAPP(hAPP(c_Product__Type_OPair(_u20262, _u20263), _u20266), _u20267))), c_Transitive__Closure_Ortrancl(tc_prod(_u20262, _u20263), _u20268))) | ~hBOOL(hAPP(hAPP(_u20269, _u20266), _u20267)) | hBOOL(hAPP(hAPP(_u20269, _u20264), _u20265)) | ~hBOOL(hAPP(hAPP(_u20269, skolem565(_u20269, _u20268, _u20267, _u20266, _u20265, _u20264, _u20263, _u20262)), skolem566(_u20269, _u20268, _u20267, _u20266, _u20265, _u20264, _u20263, _u20262))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_congruentI ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_congruentI-1, axiom, ( c_Equiv__Relations_Ocongruent(_u20272, _u20275, _u20273, _u20274) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20272, _u20272)), hAPP(hAPP(c_Product__Type_OPair(_u20272, _u20272), skolem569(_u20275, _u20274, _u20273, _u20272)), skolem570(_u20275, _u20274, _u20273, _u20272))), _u20273)) )).
% 19.51/19.74 cnf(fact_congruentI-2, axiom, ( c_Equiv__Relations_Ocongruent(_u20272, _u20275, _u20273, _u20274) | ( hAPP(_u20274, skolem569(_u20275, _u20274, _u20273, _u20272)) != hAPP(_u20274, skolem570(_u20275, _u20274, _u20273, _u20272))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_congruent2I_H ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_congruent2I_H-1, axiom, ( c_Equiv__Relations_Ocongruent2(_u20280, _u20282, _u20285, _u20281, _u20283, _u20284) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20280, _u20280)), hAPP(hAPP(c_Product__Type_OPair(_u20280, _u20280), skolem571(_u20285, _u20284, _u20283, _u20282, _u20281, _u20280)), skolem572(_u20285, _u20284, _u20283, _u20282, _u20281, _u20280))), _u20281)) )).
% 19.51/19.74 cnf(fact_congruent2I_H-2, axiom, ( c_Equiv__Relations_Ocongruent2(_u20280, _u20282, _u20285, _u20281, _u20283, _u20284) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20282, _u20282)), hAPP(hAPP(c_Product__Type_OPair(_u20282, _u20282), skolem573(_u20285, _u20284, _u20283, _u20282, _u20281, _u20280)), skolem574(_u20285, _u20284, _u20283, _u20282, _u20281, _u20280))), _u20283)) )).
% 19.51/19.74 cnf(fact_congruent2I_H-3, axiom, ( c_Equiv__Relations_Ocongruent2(_u20280, _u20282, _u20285, _u20281, _u20283, _u20284) | ( hAPP(hAPP(_u20284, skolem571(_u20285, _u20284, _u20283, _u20282, _u20281, _u20280)), skolem573(_u20285, _u20284, _u20283, _u20282, _u20281, _u20280)) != hAPP(hAPP(_u20284, skolem572(_u20285, _u20284, _u20283, _u20282, _u20281, _u20280)), skolem574(_u20285, _u20284, _u20283, _u20282, _u20281, _u20280))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact__03 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact__03-1, axiom, ( ( c_Lazy__Sequence_Oflat(_u20286, c_Lazy__Sequence_Olazy__sequence_OInsert(tc_Lazy__Sequence_Olazy__sequence(_u20286), _u20287, _u20288)) = c_Lazy__Sequence_Oappend(_u20286, _u20287, c_Lazy__Sequence_Oflat(_u20286, _u20288))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_list__all__iff__all__interval__nat ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_list__all__iff__all__interval__nat-1, axiom, ( ~c_List_Olist__all(tc_Nat_Onat, _u20292, c_List_Oupt(_u20294, _u20296)) | c_List_Oall__interval__nat(_u20292, _u20294, _u20296) )).
% 19.51/19.74 cnf(fact_list__all__iff__all__interval__nat-2, axiom, ( ~c_List_Oall__interval__nat(_u20293, _u20295, _u20297) | c_List_Olist__all(tc_Nat_Onat, _u20293, c_List_Oupt(_u20295, _u20297)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact__04 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact__04-1, axiom, ( ( c_Lazy__Sequence_Oflat(_u20298, c_Lazy__Sequence_Olazy__sequence_OEmpty(tc_Lazy__Sequence_Olazy__sequence(_u20298))) = c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20298)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_all__interval__nat__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_all__interval__nat__def-1, axiom, ( ~c_List_Oall__interval__nat(_u20304, _u20306, _u20308) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20299), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u20306), _u20308))) | hBOOL(hAPP(_u20304, _u20299)) )).
% 19.51/19.74 cnf(fact_all__interval__nat__def-2, axiom, ( c_List_Oall__interval__nat(_u20305, _u20307, _u20309) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem575(_u20309, _u20307, _u20305)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u20307), _u20309))) )).
% 19.51/19.74 cnf(fact_all__interval__nat__def-3, axiom, ( c_List_Oall__interval__nat(_u20305, _u20307, _u20309) | ~hBOOL(hAPP(_u20305, skolem575(_u20309, _u20307, _u20305))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_list__ex__iff__not__all__inverval__nat ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_list__ex__iff__not__all__inverval__nat-1, axiom, ( ~c_List_Olist__ex(tc_Nat_Onat, _u20313, c_List_Oupt(_u20315, _u20317)) | ~c_List_Oall__interval__nat(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat, c_fNot), _u20313), _u20315, _u20317) )).
% 19.51/19.74 cnf(fact_list__ex__iff__not__all__inverval__nat-2, axiom, ( c_List_Oall__interval__nat(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat, c_fNot), _u20314), _u20316, _u20318) | c_List_Olist__ex(tc_Nat_Onat, _u20314, c_List_Oupt(_u20316, _u20318)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact__05 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact__05-1, axiom, ( ( hAPP(c_Lazy__Sequence_Obind(_u20319, _u20320, _u20321), _u20322) = c_Lazy__Sequence_Oflat(_u20320, c_Lazy__Sequence_Omap(_u20319, tc_Lazy__Sequence_Olazy__sequence(_u20320), _u20322, _u20321))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_folding__image_Ocong ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_folding__image_Ocong-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u20324, _u20325, _u20326, _u20327, _u20328) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20325), _u20329)) | ( hAPP(hAPP(_u20328, _u20330), _u20329) = hAPP(hAPP(_u20328, _u20331), _u20329)) | hBOOL(hAPP(hAPP(c_member(_u20325), skolem576(_u20331, _u20330, _u20329, _u20328, _u20327, _u20326, _u20325)), _u20329)) )).
% 19.51/19.74 cnf(fact_folding__image_Ocong-2, axiom, ( ~c_Finite__Set_Ofolding__image(_u20324, _u20325, _u20326, _u20327, _u20328) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20325), _u20329)) | ( hAPP(hAPP(_u20328, _u20330), _u20329) = hAPP(hAPP(_u20328, _u20331), _u20329)) | ( hAPP(_u20330, skolem576(_u20331, _u20330, _u20329, _u20328, _u20327, _u20326, _u20325)) != hAPP(_u20331, skolem576(_u20331, _u20330, _u20329, _u20328, _u20327, _u20326, _u20325))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact__06 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact__06-1, axiom, ( ( c_Lazy__Sequence_Omap(_u20332, _u20333, _u20334, c_Lazy__Sequence_Olazy__sequence_OInsert(_u20332, _u20335, _u20336)) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u20333, hAPP(_u20334, _u20335), c_Lazy__Sequence_Omap(_u20332, _u20333, _u20334, _u20336))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact__07 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact__07-1, axiom, ( ( c_Lazy__Sequence_Omap(_u20337, _u20338, _u20339, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20337)) = c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20338)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_New__DSequence_Opos__map__def ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_New__DSequence_Opos__map__def-1, axiom, ( ( c_New__DSequence_Opos__map(_u20340, _u20341, _u20342, _u20343, _u20344) = c_Lazy__Sequence_Omap(_u20340, _u20341, _u20342, hAPP(_u20343, _u20344))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_power__dvd__imp__le ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_power__dvd__imp__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u20345), _u20346)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u20345), _u20347))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u20345)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20346), _u20347)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_Oorder__refl ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_Oorder__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20348), _u20348)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__0__right ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__0__right-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20349) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20349), _u20350), c_Groups_Ozero__class_Ozero(_u20349))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__1__left ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__1__left-1, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u20351)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__imp__le ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__imp__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20352), _u20353)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20353)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20352), _u20353)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_nat__mult__dvd__cancel1 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_nat__mult__dvd__cancel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20354)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20354), _u20355)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20354), _u20356))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20355), _u20356)) )).
% 19.51/19.74 cnf(fact_nat__mult__dvd__cancel1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20354)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20355), _u20356)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20354), _u20355)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20354), _u20356))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__mult__cancel ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__mult__cancel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20357), _u20358)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20357), _u20359))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20357)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20358), _u20359)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__eq__mod__eq__0__number__of ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__eq__mod__eq__0__number__of-1, axiom, ( ~class_Divides_Osemiring__div(_u20360) | ~class_Int_Onumber(_u20360) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20360), hAPP(c_Int_Onumber__class_Onumber__of(_u20360), _u20361)), hAPP(c_Int_Onumber__class_Onumber__of(_u20360), _u20362))) | ( c_Divides_Odiv__class_Omod(_u20360, hAPP(c_Int_Onumber__class_Onumber__of(_u20360), _u20362), hAPP(c_Int_Onumber__class_Onumber__of(_u20360), _u20361)) = c_Groups_Ozero__class_Ozero(_u20360)) )).
% 19.51/19.74 cnf(fact_dvd__eq__mod__eq__0__number__of-2, axiom, ( ~class_Divides_Osemiring__div(_u20360) | ~class_Int_Onumber(_u20360) | ( c_Divides_Odiv__class_Omod(_u20360, hAPP(c_Int_Onumber__class_Onumber__of(_u20360), _u20362), hAPP(c_Int_Onumber__class_Onumber__of(_u20360), _u20361)) != c_Groups_Ozero__class_Ozero(_u20360)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20360), hAPP(c_Int_Onumber__class_Onumber__of(_u20360), _u20361)), hAPP(c_Int_Onumber__class_Onumber__of(_u20360), _u20362))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__div__eq__mult ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__div__eq__mult-1, axiom, ( ~class_Divides_Osemiring__div(_u20363) | ( _u20364 = c_Groups_Ozero__class_Ozero(_u20363)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20363), _u20364), _u20365)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20363), _u20365), _u20364) != _u20366) | ( _u20365 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20363), _u20366), _u20364)) )).
% 19.51/19.74 cnf(fact_dvd__div__eq__mult-2, axiom, ( ~class_Divides_Osemiring__div(_u20363) | ( _u20364 = c_Groups_Ozero__class_Ozero(_u20363)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20363), _u20364), _u20365)) | ( _u20365 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20363), _u20366), _u20364)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20363), _u20365), _u20364) = _u20366) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__div__div__eq__mult ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__div__div__eq__mult-1, axiom, ( ~class_Divides_Osemiring__div(_u20367) | ( _u20368 = c_Groups_Ozero__class_Ozero(_u20367)) | ( _u20369 = c_Groups_Ozero__class_Ozero(_u20367)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20367), _u20368), _u20370)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20367), _u20369), _u20371)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20367), _u20370), _u20368) != hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20367), _u20371), _u20369)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20367), _u20370), _u20369) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20367), _u20368), _u20371)) )).
% 19.51/19.74 cnf(fact_dvd__div__div__eq__mult-2, axiom, ( ~class_Divides_Osemiring__div(_u20367) | ( _u20368 = c_Groups_Ozero__class_Ozero(_u20367)) | ( _u20369 = c_Groups_Ozero__class_Ozero(_u20367)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20367), _u20368), _u20370)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20367), _u20369), _u20371)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20367), _u20370), _u20369) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20367), _u20368), _u20371)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20367), _u20370), _u20368) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20367), _u20371), _u20369)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__diffD ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__diffD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20372), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20373), _u20374))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20372), _u20374)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20374), _u20373)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20372), _u20373)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__diffD1 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__diffD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20375), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20376), _u20377))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20375), _u20376)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20377), _u20376)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20375), _u20377)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_power__le__dvd ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_power__le__dvd-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20378) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20378), hAPP(hAPP(c_Power_Opower__class_Opower(_u20378), _u20379), _u20380)), _u20381)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20382), _u20380)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20378), hAPP(hAPP(c_Power_Opower__class_Opower(_u20378), _u20379), _u20382)), _u20381)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__power__le ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__power__le-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20383) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20383), _u20384), _u20385)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20386), _u20387)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20383), hAPP(hAPP(c_Power_Opower__class_Opower(_u20383), _u20384), _u20386)), hAPP(hAPP(c_Power_Opower__class_Opower(_u20383), _u20385), _u20387))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_le__imp__power__dvd ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_le__imp__power__dvd-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20388) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20389), _u20390)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20388), hAPP(hAPP(c_Power_Opower__class_Opower(_u20388), _u20391), _u20389)), hAPP(hAPP(c_Power_Opower__class_Opower(_u20388), _u20391), _u20390))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_OatLeastatMost__subset__iff ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_OatLeastatMost__subset__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20396, _u20398)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20400, _u20402))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20396), _u20398)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20400), _u20396)) )).
% 19.51/19.74 cnf(fact_dvd_OatLeastatMost__subset__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20396, _u20398)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20400, _u20402))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20396), _u20398)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20398), _u20402)) )).
% 19.51/19.74 cnf(fact_dvd_OatLeastatMost__subset__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20397, _u20399)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20401, _u20403))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20397), _u20399)) )).
% 19.51/19.74 cnf(fact_dvd_OatLeastatMost__subset__iff-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20397, _u20399)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20401, _u20403))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20401), _u20397)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20399), _u20403)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_OatLeast__iff ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_OatLeast__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20406), c_SetInterval_Oord_OatLeast(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20408))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20408), _u20406)) )).
% 19.51/19.74 cnf(fact_dvd_OatLeast__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20409), _u20407)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20407), c_SetInterval_Oord_OatLeast(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20409))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_OatMost__iff ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_OatMost__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20412), c_SetInterval_Oord_OatMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20414))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20412), _u20414)) )).
% 19.51/19.74 cnf(fact_dvd_OatMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20413), _u20415)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20413), c_SetInterval_Oord_OatMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20415))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_OlessThan__iff ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_OlessThan__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20418), c_SetInterval_Oord_OlessThan(tc_Nat_Onat, hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20420))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20418), _u20420)) )).
% 19.51/19.74 cnf(fact_dvd_OlessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20418), c_SetInterval_Oord_OlessThan(tc_Nat_Onat, hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20420))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20420), _u20418)) )).
% 19.51/19.74 cnf(fact_dvd_OlessThan__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20419), _u20421)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20421), _u20419)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20419), c_SetInterval_Oord_OlessThan(tc_Nat_Onat, hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20421))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_OgreaterThan__iff ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_OgreaterThan__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20424), c_SetInterval_Oord_OgreaterThan(tc_Nat_Onat, hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20426))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20426), _u20424)) )).
% 19.51/19.74 cnf(fact_dvd_OgreaterThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20424), c_SetInterval_Oord_OgreaterThan(tc_Nat_Onat, hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20426))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20424), _u20426)) )).
% 19.51/19.74 cnf(fact_dvd_OgreaterThan__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20427), _u20425)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20425), _u20427)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20425), c_SetInterval_Oord_OgreaterThan(tc_Nat_Onat, hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20427))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__eq__mod__eq__0 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__eq__mod__eq__0-1, axiom, ( ~class_Divides_Osemiring__div(_u20428) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20428), _u20429), _u20430)) | ( c_Divides_Odiv__class_Omod(_u20428, _u20430, _u20429) = c_Groups_Ozero__class_Ozero(_u20428)) )).
% 19.51/19.74 cnf(fact_dvd__eq__mod__eq__0-2, axiom, ( ~class_Divides_Osemiring__div(_u20428) | ( c_Divides_Odiv__class_Omod(_u20428, _u20430, _u20429) != c_Groups_Ozero__class_Ozero(_u20428)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20428), _u20429), _u20430)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__imp__mod__0 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__imp__mod__0-1, axiom, ( ~class_Divides_Osemiring__div(_u20431) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20431), _u20432), _u20433)) | ( c_Divides_Odiv__class_Omod(_u20431, _u20433, _u20432) = c_Groups_Ozero__class_Ozero(_u20431)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_OatLeastatMost__psubset__iff ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_OatLeastatMost__psubset__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20438, _u20440)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20442, _u20444))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20438), _u20440)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20442), _u20438)) )).
% 19.51/19.74 cnf(fact_dvd_OatLeastatMost__psubset__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20438, _u20440)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20442, _u20444))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20438), _u20440)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20440), _u20444)) )).
% 19.51/19.74 cnf(fact_dvd_OatLeastatMost__psubset__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20438, _u20440)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20442, _u20444))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20438), _u20440)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20442), _u20438)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20440), _u20444)) )).
% 19.51/19.74 cnf(fact_dvd_OatLeastatMost__psubset__iff-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20438, _u20440)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20442, _u20444))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20438), _u20440)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20442), _u20438)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20444), _u20440)) )).
% 19.51/19.74 cnf(fact_dvd_OatLeastatMost__psubset__iff-5, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20438, _u20440)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20442, _u20444))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20438), _u20440)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20438), _u20442)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20440), _u20444)) )).
% 19.51/19.74 cnf(fact_dvd_OatLeastatMost__psubset__iff-6, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20438, _u20440)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20442, _u20444))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20438), _u20440)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20438), _u20442)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20444), _u20440)) )).
% 19.51/19.74 cnf(fact_dvd_OatLeastatMost__psubset__iff-7, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20438, _u20440)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20442, _u20444))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20442), _u20444)) )).
% 19.51/19.74 cnf(fact_dvd_OatLeastatMost__psubset__iff-8, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20439, _u20441)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20443, _u20445))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20443), _u20445)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20439), _u20441)) )).
% 19.51/19.74 cnf(fact_dvd_OatLeastatMost__psubset__iff-9, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20439, _u20441)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20443, _u20445))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20443), _u20445)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20443), _u20439)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20441), _u20445)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20439), _u20443)) )).
% 19.51/19.74 cnf(fact_dvd_OatLeastatMost__psubset__iff-10, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20439, _u20441)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20443, _u20445))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20443), _u20445)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20443), _u20439)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20441), _u20445)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20445), _u20441)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__0__left ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__0__left-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20446) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20446), c_Groups_Ozero__class_Ozero(_u20446)), _u20447)) | ( _u20447 = c_Groups_Ozero__class_Ozero(_u20446)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_one__dvd ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_one__dvd-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20448) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20448), c_Groups_Oone__class_Oone(_u20448)), _u20449)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_Oless__asym ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_Oless__asym, axiom, $true).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_Oless__trans ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_Oless__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20452), _u20453)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20453), _u20452)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20453), _u20454)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20454), _u20453)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20452), _u20454)) )).
% 19.51/19.74 cnf(fact_dvd_Oless__trans-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20452), _u20453)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20453), _u20452)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20453), _u20454)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20454), _u20453)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20454), _u20452)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_Oless__asym_H ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_Oless__asym_H, axiom, $true).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_Oless__le__trans ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_Oless__le__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20457), _u20458)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20458), _u20457)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20458), _u20459)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20457), _u20459)) )).
% 19.51/19.74 cnf(fact_dvd_Oless__le__trans-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20457), _u20458)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20458), _u20457)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20458), _u20459)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20459), _u20457)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_Oord__less__eq__trans ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_Oord__less__eq__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20460), _u20461)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20461), _u20460)) | ( _u20461 != _u20462) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20460), _u20462)) )).
% 19.51/19.74 cnf(fact_dvd_Oord__less__eq__trans-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20460), _u20461)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20461), _u20460)) | ( _u20461 != _u20462) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20462), _u20460)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_Oless__imp__not__eq2 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_Oless__imp__not__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20463), _u20464)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20464), _u20463)) | ( _u20464 != _u20463) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_Oless__imp__not__eq ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_Oless__imp__not__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20465), _u20466)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20466), _u20465)) | ( _u20465 != _u20466) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_Oless__imp__not__less ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_Oless__imp__not__less, axiom, $true).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_Oless__imp__le ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_Oless__imp__le, axiom, $true).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_Oless__not__sym ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_Oless__not__sym, axiom, $true).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_Oless__imp__neq ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_Oless__imp__neq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20473), _u20474)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20474), _u20473)) | ( _u20473 != _u20474) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_Ole__less__trans ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_Ole__less__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20475), _u20476)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20476), _u20477)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20477), _u20476)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20475), _u20477)) )).
% 19.51/19.74 cnf(fact_dvd_Ole__less__trans-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20475), _u20476)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20476), _u20477)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20477), _u20476)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20477), _u20475)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_Oord__eq__less__trans ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_Oord__eq__less__trans-1, axiom, ( ( _u20478 != _u20479) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20479), _u20480)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20480), _u20479)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20478), _u20480)) )).
% 19.51/19.74 cnf(fact_dvd_Oord__eq__less__trans-2, axiom, ( ( _u20478 != _u20479) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20479), _u20480)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20480), _u20479)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20480), _u20478)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_Oorder__trans ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_Oorder__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20481), _u20482)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20482), _u20483)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20481), _u20483)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_Oantisym ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_Oantisym-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20484), _u20485)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20485), _u20484)) | ( _u20484 = _u20485) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__antisym ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__antisym-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20486), _u20487)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20487), _u20486)) | ( _u20486 = _u20487) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_Oord__le__eq__trans ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_Oord__le__eq__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20488), _u20489)) | ( _u20489 != _u20490) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20488), _u20490)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_Oord__eq__le__trans ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_Oord__eq__le__trans-1, axiom, ( ( _u20491 != _u20492) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20492), _u20493)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20491), _u20493)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_Ole__neq__trans ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_Ole__neq__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20494), _u20495)) | ( _u20494 = _u20495) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20495), _u20494)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_Ole__imp__less__or__eq ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_Ole__imp__less__or__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20496), _u20497)) | ( _u20496 = _u20497) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20497), _u20496)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_Oantisym__conv ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_Oantisym__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20498), _u20499)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20499), _u20498)) | ( _u20499 = _u20498) )).
% 19.51/19.74 cnf(fact_dvd_Oantisym__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20498), _u20499)) | ( _u20499 != _u20498) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20499), _u20498)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_Oeq__refl ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_Oeq__refl-1, axiom, ( ( _u20500 != _u20501) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20500), _u20501)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_Oneq__le__trans ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_Oneq__le__trans-1, axiom, ( ( _u20502 = _u20503) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20502), _u20503)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20503), _u20502)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_Oless__le ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_Oless__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20506), _u20508)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20508), _u20506)) | ( _u20506 != _u20508) )).
% 19.51/19.74 cnf(fact_dvd_Oless__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20507), _u20509)) | ( _u20507 = _u20509) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20509), _u20507)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_Ole__less ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_Ole__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20512), _u20514)) | ( _u20512 = _u20514) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20514), _u20512)) )).
% 19.51/19.74 cnf(fact_dvd_Ole__less-2, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20513), _u20515)) | ( _u20513 != _u20515) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_Oeq__iff ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_Oeq__iff-1, axiom, ( ( _u20518 != _u20520) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20518), _u20520)) )).
% 19.51/19.74 cnf(fact_dvd_Oeq__iff-2, axiom, ( ( _u20518 != _u20520) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20520), _u20518)) )).
% 19.51/19.74 cnf(fact_dvd_Oeq__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20519), _u20521)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20521), _u20519)) | ( _u20519 = _u20521) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__trans ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__trans-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20522) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20522), _u20523), _u20524)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20522), _u20524), _u20525)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20522), _u20523), _u20525)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__refl ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__refl-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20526) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20526), _u20527), _u20527)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__abs__iff ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__abs__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u20528) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20528), _u20529), hAPP(c_Groups_Oabs__class_Oabs(_u20528), _u20530))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20528), _u20529), _u20530)) )).
% 19.51/19.74 cnf(fact_dvd__abs__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u20528) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20528), _u20529), _u20530)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20528), _u20529), hAPP(c_Groups_Oabs__class_Oabs(_u20528), _u20530))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_abs__dvd__iff ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_abs__dvd__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u20531) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20531), hAPP(c_Groups_Oabs__class_Oabs(_u20531), _u20532)), _u20533)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20531), _u20532), _u20533)) )).
% 19.51/19.74 cnf(fact_abs__dvd__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u20531) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20531), _u20532), _u20533)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20531), hAPP(c_Groups_Oabs__class_Oabs(_u20531), _u20532)), _u20533)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__if__abs__eq ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__if__abs__eq-1, axiom, ( ~class_Rings_Olinordered__idom(_u20534) | ( hAPP(c_Groups_Oabs__class_Oabs(_u20534), _u20535) != hAPP(c_Groups_Oabs__class_Oabs(_u20534), _u20536)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20534), _u20535), _u20536)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_div__dvd__div ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_div__dvd__div-1, axiom, ( ~class_Divides_Osemiring__div(_u20537) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20537), _u20538), _u20539)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20537), _u20538), _u20540)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20537), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20537), _u20539), _u20538)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20537), _u20540), _u20538))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20537), _u20539), _u20540)) )).
% 19.51/19.74 cnf(fact_div__dvd__div-2, axiom, ( ~class_Divides_Osemiring__div(_u20537) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20537), _u20538), _u20539)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20537), _u20538), _u20540)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20537), _u20539), _u20540)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20537), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20537), _u20539), _u20538)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20537), _u20540), _u20538))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__mod__iff ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__mod__iff-1, axiom, ( ~class_Divides_Osemiring__div(_u20541) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20541), _u20542), _u20543)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20541), _u20542), c_Divides_Odiv__class_Omod(_u20541, _u20544, _u20543))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20541), _u20542), _u20544)) )).
% 19.51/19.74 cnf(fact_dvd__mod__iff-2, axiom, ( ~class_Divides_Osemiring__div(_u20541) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20541), _u20542), _u20543)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20541), _u20542), _u20544)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20541), _u20542), c_Divides_Odiv__class_Omod(_u20541, _u20544, _u20543))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_mod__mod__cancel ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_mod__mod__cancel-1, axiom, ( ~class_Divides_Osemiring__div(_u20545) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20545), _u20546), _u20547)) | ( c_Divides_Odiv__class_Omod(_u20545, c_Divides_Odiv__class_Omod(_u20545, _u20548, _u20547), _u20546) = c_Divides_Odiv__class_Omod(_u20545, _u20548, _u20546)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__mod ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__mod-1, axiom, ( ~class_Divides_Osemiring__div(_u20549) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20549), _u20550), _u20551)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20549), _u20550), _u20552)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20549), _u20550), c_Divides_Odiv__class_Omod(_u20549, _u20551, _u20552))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__mod__imp__dvd ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__mod__imp__dvd-1, axiom, ( ~class_Divides_Osemiring__div(_u20553) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20553), _u20554), c_Divides_Odiv__class_Omod(_u20553, _u20555, _u20556))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20553), _u20554), _u20556)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20553), _u20554), _u20555)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__power__same ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__power__same-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20557) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20557), _u20558), _u20559)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20557), hAPP(hAPP(c_Power_Opower__class_Opower(_u20557), _u20558), _u20560)), hAPP(hAPP(c_Power_Opower__class_Opower(_u20557), _u20559), _u20560))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_nat__dvd__1__iff__1 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_nat__dvd__1__iff__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20562), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( _u20562 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 19.51/19.74 cnf(fact_nat__dvd__1__iff__1-2, axiom, ( ( _u20563 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20563), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__reduce ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__reduce-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20566), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20568), _u20566))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20566), _u20568)) )).
% 19.51/19.74 cnf(fact_dvd__reduce-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20567), _u20569)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20567), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20569), _u20567))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__add-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20570) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20570), _u20571), _u20572)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20570), _u20571), _u20573)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20570), _u20571), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20570), _u20572), _u20573))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_div__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_div__add-1, axiom, ( ~class_Divides_Osemiring__div(_u20574) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20574), _u20575), _u20576)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20574), _u20575), _u20577)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20574), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20574), _u20576), _u20577)), _u20575) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20574), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20574), _u20576), _u20575)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20574), _u20577), _u20575))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_minus__dvd__iff ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_minus__dvd__iff-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u20578) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20578), hAPP(c_Groups_Ouminus__class_Ouminus(_u20578), _u20579)), _u20580)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20578), _u20579), _u20580)) )).
% 19.51/19.74 cnf(fact_minus__dvd__iff-2, axiom, ( ~class_Rings_Ocomm__ring__1(_u20578) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20578), _u20579), _u20580)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20578), hAPP(c_Groups_Ouminus__class_Ouminus(_u20578), _u20579)), _u20580)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__minus__iff ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__minus__iff-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u20581) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20581), _u20582), hAPP(c_Groups_Ouminus__class_Ouminus(_u20581), _u20583))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20581), _u20582), _u20583)) )).
% 19.51/19.74 cnf(fact_dvd__minus__iff-2, axiom, ( ~class_Rings_Ocomm__ring__1(_u20581) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20581), _u20582), _u20583)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20581), _u20582), hAPP(c_Groups_Ouminus__class_Ouminus(_u20581), _u20583))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__diff ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__diff-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u20584) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20584), _u20585), _u20586)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20584), _u20585), _u20587)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20584), _u20585), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20584), _u20586), _u20587))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__diff__nat ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__diff__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20588), _u20589)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20588), _u20590)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20588), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20589), _u20590))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_div__power ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_div__power-1, axiom, ( ~class_Divides_Osemiring__div(_u20591) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20591), _u20592), _u20593)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u20591), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20591), _u20593), _u20592)), _u20594) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20591), hAPP(hAPP(c_Power_Opower__class_Opower(_u20591), _u20593), _u20594)), hAPP(hAPP(c_Power_Opower__class_Opower(_u20591), _u20592), _u20594))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__neg__div ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__neg__div-1, axiom, ( ~class_Divides_Oring__div(_u20595) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20595), _u20596), _u20597)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20595), hAPP(c_Groups_Ouminus__class_Ouminus(_u20595), _u20597)), _u20596) = hAPP(c_Groups_Ouminus__class_Ouminus(_u20595), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20595), _u20597), _u20596))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__div__neg ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__div__neg-1, axiom, ( ~class_Divides_Oring__div(_u20598) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20598), _u20599), _u20600)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20598), _u20600), hAPP(c_Groups_Ouminus__class_Ouminus(_u20598), _u20599)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u20598), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20598), _u20600), _u20599))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_nat__dvd__not__less ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_nat__dvd__not__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20601)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20601), _u20602)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20602), _u20601)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__1__iff__1 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__1__iff__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20604), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u20604 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.74 cnf(fact_dvd__1__iff__1-2, axiom, ( ( _u20605 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20605), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_OatLeastatMost__empty ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_OatLeastatMost__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20606), _u20607)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20607), _u20606)) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20607, _u20606) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_OatLeastatMost__empty__iff ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_OatLeastatMost__empty__iff-1, axiom, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20610, _u20612) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20610), _u20612)) )).
% 19.51/19.74 cnf(fact_dvd_OatLeastatMost__empty__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20611), _u20613)) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20611, _u20613) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_OatLeastatMost__empty__iff2 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_OatLeastatMost__empty__iff2-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) != c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20616, _u20618)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20616), _u20618)) )).
% 19.51/19.74 cnf(fact_dvd_OatLeastatMost__empty__iff2-2, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20617), _u20619)) | ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20617, _u20619)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_OgreaterThanAtMost__empty ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_OgreaterThanAtMost__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20620), _u20621)) | ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20621, _u20620) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_OatLeastLessThan__empty ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_OatLeastLessThan__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20622), _u20623)) | ( c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20623, _u20622) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_OgreaterThanLessThan__empty ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_OgreaterThanLessThan__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20624), _u20625)) | ( c_SetInterval_Oord_OgreaterThanLessThan(tc_Nat_Onat, hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20625, _u20624) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_OgreaterThanAtMost__empty__iff ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_OgreaterThanAtMost__empty__iff-1, axiom, ( ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20628, _u20630) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20628), _u20630)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20630), _u20628)) )).
% 19.51/19.74 cnf(fact_dvd_OgreaterThanAtMost__empty__iff-2, axiom, ( ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20629, _u20631) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20629), _u20631)) )).
% 19.51/19.74 cnf(fact_dvd_OgreaterThanAtMost__empty__iff-3, axiom, ( ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20629, _u20631) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20631), _u20629)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_OatLeastLessThan__empty__iff ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_OatLeastLessThan__empty__iff-1, axiom, ( ( c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20634, _u20636) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20634), _u20636)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20636), _u20634)) )).
% 19.51/19.74 cnf(fact_dvd_OatLeastLessThan__empty__iff-2, axiom, ( ( c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20635, _u20637) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20635), _u20637)) )).
% 19.51/19.74 cnf(fact_dvd_OatLeastLessThan__empty__iff-3, axiom, ( ( c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20635, _u20637) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20637), _u20635)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_OgreaterThanAtMost__empty__iff2 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_OgreaterThanAtMost__empty__iff2-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) != c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20640, _u20642)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20640), _u20642)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20642), _u20640)) )).
% 19.51/19.74 cnf(fact_dvd_OgreaterThanAtMost__empty__iff2-2, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20641, _u20643)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20641), _u20643)) )).
% 19.51/19.74 cnf(fact_dvd_OgreaterThanAtMost__empty__iff2-3, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20641, _u20643)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20643), _u20641)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_OatLeastLessThan__empty__iff2 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_OatLeastLessThan__empty__iff2-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) != c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20646, _u20648)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20646), _u20648)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20648), _u20646)) )).
% 19.51/19.74 cnf(fact_dvd_OatLeastLessThan__empty__iff2-2, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20647, _u20649)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20647), _u20649)) )).
% 19.51/19.74 cnf(fact_dvd_OatLeastLessThan__empty__iff2-3, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20647, _u20649)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20649), _u20647)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_OatLeastAtMost__singleton_H ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_OatLeastAtMost__singleton_H-1, axiom, ( ( _u20650 != _u20651) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20650, _u20651) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20650), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_OatLeastAtMost__singleton ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_OatLeastAtMost__singleton-1, axiom, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20652, _u20652) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20652), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd_OatLeastAtMost__singleton__iff ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd_OatLeastAtMost__singleton__iff-1, axiom, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20656, _u20658) != hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20660), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u20656 = _u20658) )).
% 19.51/19.74 cnf(fact_dvd_OatLeastAtMost__singleton__iff-2, axiom, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20656, _u20658) != hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20660), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u20658 = _u20660) )).
% 19.51/19.74 cnf(fact_dvd_OatLeastAtMost__singleton__iff-3, axiom, ( ( _u20657 != _u20659) | ( _u20659 != _u20661) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20657, _u20659) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20661), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_inf__period_I3_J ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_inf__period_I3_J-1, axiom, ( ~class_Rings_Ocomm__ring(_u20664) | ~class_Rings_Odvd(_u20664) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20664), _u20665), _u20666)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20664), _u20665), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20664), _u20670), _u20667))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20664), _u20665), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20664), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20664), _u20670), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20664), _u20668), _u20666))), _u20667))) )).
% 19.51/19.74 cnf(fact_inf__period_I3_J-2, axiom, ( ~class_Rings_Ocomm__ring(_u20664) | ~class_Rings_Odvd(_u20664) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20664), _u20665), _u20666)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20664), _u20665), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20664), _u20671), _u20667))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20664), _u20665), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20664), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20664), _u20671), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20664), _u20669), _u20666))), _u20667))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_inf__period_I4_J ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_inf__period_I4_J-1, axiom, ( ~class_Rings_Ocomm__ring(_u20674) | ~class_Rings_Odvd(_u20674) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20674), _u20675), _u20676)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20674), _u20675), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20674), _u20680), _u20677))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20674), _u20675), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20674), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20674), _u20680), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20674), _u20678), _u20676))), _u20677))) )).
% 19.51/19.74 cnf(fact_inf__period_I4_J-2, axiom, ( ~class_Rings_Ocomm__ring(_u20674) | ~class_Rings_Odvd(_u20674) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20674), _u20675), _u20676)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20674), _u20675), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20674), _u20681), _u20677))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20674), _u20675), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20674), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20674), _u20681), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20674), _u20679), _u20676))), _u20677))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_nat__mult__dvd__cancel__disj ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_nat__mult__dvd__cancel__disj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20685), _u20687)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20685), _u20689))) | ( _u20685 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20687), _u20689)) )).
% 19.51/19.74 cnf(fact_nat__mult__dvd__cancel__disj-2, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20686), _u20688)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20686), _u20690))) | ( _u20686 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.74 cnf(fact_nat__mult__dvd__cancel__disj-3, axiom, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20686), _u20688)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20686), _u20690))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20688), _u20690)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__mult__div__cancel ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__mult__div__cancel-1, axiom, ( ~class_Divides_Osemiring__div(_u20691) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20691), _u20692), _u20693)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20691), _u20692), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20691), _u20693), _u20692)) = _u20693) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_div__mult__swap ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_div__mult__swap-1, axiom, ( ~class_Divides_Osemiring__div(_u20694) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20694), _u20695), _u20696)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20694), _u20697), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20694), _u20696), _u20695)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20694), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20694), _u20697), _u20696)), _u20695)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__div__mult__self ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__div__mult__self-1, axiom, ( ~class_Divides_Osemiring__div(_u20698) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20698), _u20699), _u20700)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20698), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20698), _u20700), _u20699)), _u20699) = _u20700) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__div__mult ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__div__mult-1, axiom, ( ~class_Divides_Osemiring__div(_u20701) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20701), _u20702), _u20703)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20701), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20701), _u20703), _u20702)), _u20704) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20701), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20701), _u20703), _u20704)), _u20702)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_div__mult__div__if__dvd ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_div__mult__div__if__dvd-1, axiom, ( ~class_Divides_Osemiring__div(_u20705) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20705), _u20706), _u20707)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20705), _u20708), _u20709)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20705), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20705), _u20707), _u20706)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20705), _u20709), _u20708)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20705), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20705), _u20707), _u20709)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20705), _u20706), _u20708))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__mult__right ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__mult__right-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20710) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20710), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20710), _u20711), _u20712)), _u20713)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20710), _u20712), _u20713)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__mult__left ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__mult__left-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20714) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20714), _u20715), _u20716)), _u20717)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20714), _u20715), _u20717)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvdI ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvdI-1, axiom, ( ~class_Rings_Odvd(_u20718) | ( _u20719 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20718), _u20720), _u20721)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20718), _u20720), _u20719)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_mult__dvd__mono ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_mult__dvd__mono-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20722) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20722), _u20723), _u20724)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20722), _u20725), _u20726)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20722), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20722), _u20723), _u20725)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20722), _u20724), _u20726))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__mult ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__mult-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20727) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20727), _u20728), _u20729)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20727), _u20728), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20727), _u20730), _u20729))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__mult2 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__mult2-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20731) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20731), _u20732), _u20733)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20731), _u20732), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20731), _u20733), _u20734))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__triv__right ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__triv__right-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20735) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20735), _u20736), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20735), _u20737), _u20736))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__triv__left ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__triv__left-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20738) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20738), _u20739), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20738), _u20739), _u20740))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__mult__cancel__right ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__mult__cancel__right-1, axiom, ( ~class_Rings_Oidom(_u20741) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20741), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20741), _u20742), _u20743)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20741), _u20744), _u20743))) | ( _u20743 = c_Groups_Ozero__class_Ozero(_u20741)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20741), _u20742), _u20744)) )).
% 19.51/19.74 cnf(fact_dvd__mult__cancel__right-2, axiom, ( ~class_Rings_Oidom(_u20741) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20741), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20741), _u20742), _u20743)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20741), _u20744), _u20743))) | ( _u20743 != c_Groups_Ozero__class_Ozero(_u20741)) )).
% 19.51/19.74 cnf(fact_dvd__mult__cancel__right-3, axiom, ( ~class_Rings_Oidom(_u20741) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20741), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20741), _u20742), _u20743)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20741), _u20744), _u20743))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20741), _u20742), _u20744)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__mult__cancel__left ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__mult__cancel__left-1, axiom, ( ~class_Rings_Oidom(_u20745) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20745), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20745), _u20746), _u20747)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20745), _u20746), _u20748))) | ( _u20746 = c_Groups_Ozero__class_Ozero(_u20745)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20745), _u20747), _u20748)) )).
% 19.51/19.74 cnf(fact_dvd__mult__cancel__left-2, axiom, ( ~class_Rings_Oidom(_u20745) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20745), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20745), _u20746), _u20747)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20745), _u20746), _u20748))) | ( _u20746 != c_Groups_Ozero__class_Ozero(_u20745)) )).
% 19.51/19.74 cnf(fact_dvd__mult__cancel__left-3, axiom, ( ~class_Rings_Oidom(_u20745) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20745), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20745), _u20746), _u20747)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20745), _u20746), _u20748))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20745), _u20747), _u20748)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_unity__coeff__ex ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_unity__coeff__ex-1, axiom, ( ~class_Rings_Odvd(_u20753) | ~class_Rings_Osemiring__0(_u20753) | ~hBOOL(hAPP(_u20754, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20753), _u20755), _u20749))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20753), _u20755), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20753), skolem577(_u20755, _u20754, _u20753)), c_Groups_Ozero__class_Ozero(_u20753)))) )).
% 19.51/19.74 cnf(fact_unity__coeff__ex-2, axiom, ( ~class_Rings_Odvd(_u20753) | ~class_Rings_Osemiring__0(_u20753) | ~hBOOL(hAPP(_u20754, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20753), _u20755), _u20749))) | hBOOL(hAPP(_u20754, skolem577(_u20755, _u20754, _u20753))) )).
% 19.51/19.74 cnf(fact_unity__coeff__ex-3, axiom, ( ~class_Rings_Odvd(_u20753) | ~class_Rings_Osemiring__0(_u20753) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20753), _u20755), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20753), _u20751), c_Groups_Ozero__class_Ozero(_u20753)))) | ~hBOOL(hAPP(_u20754, _u20751)) | hBOOL(hAPP(_u20754, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20753), _u20755), skolem578(_u20755, _u20754, _u20753)))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_dvd__setprod ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_dvd__setprod-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u20756) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20757), _u20758)) | ~hBOOL(hAPP(hAPP(c_member(_u20757), _u20759), _u20758)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20756), hAPP(_u20760, _u20759)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u20757, _u20756), _u20760), _u20758))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: fact_setprod__dvd__setprod__subset ( axiom ) converted to clauses:
% 19.51/19.74 cnf(fact_setprod__dvd__setprod__subset-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20761) | ~class_Rings_Odvd(_u20761) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20762), _u20763)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20762, tc_HOL_Obool)), _u20764), _u20763)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20761), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u20762, _u20761), _u20765), _u20764)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u20762, _u20761), _u20765), _u20763))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_HOL__Obool__Lattices_Obounded__lattice-1, axiom, ( class_Lattices_Obounded__lattice(tc_HOL_Obool) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_fun__Lattices_Obounded__lattice ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_fun__Lattices_Obounded__lattice-1, axiom, ( ~class_Lattices_Obounded__lattice(_u20766) | class_Lattices_Obounded__lattice(tc_fun(_u20767, _u20766)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_fun__Complete__Lattice_Ocomplete__lattice ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_fun__Complete__Lattice_Ocomplete__lattice-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20768) | class_Complete__Lattice_Ocomplete__lattice(tc_fun(_u20769, _u20768)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_fun__Lattices_Obounded__lattice__top ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_fun__Lattices_Obounded__lattice__top-1, axiom, ( ~class_Lattices_Obounded__lattice(_u20770) | class_Lattices_Obounded__lattice__top(tc_fun(_u20771, _u20770)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_fun__Lattices_Obounded__lattice__bot ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_fun__Lattices_Obounded__lattice__bot-1, axiom, ( ~class_Lattices_Obounded__lattice(_u20772) | class_Lattices_Obounded__lattice__bot(tc_fun(_u20773, _u20772)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_fun__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_fun__Lattices_Osemilattice__sup-1, axiom, ( ~class_Lattices_Olattice(_u20774) | class_Lattices_Osemilattice__sup(tc_fun(_u20775, _u20774)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_fun__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_fun__Lattices_Osemilattice__inf-1, axiom, ( ~class_Lattices_Olattice(_u20776) | class_Lattices_Osemilattice__inf(tc_fun(_u20777, _u20776)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_fun__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_fun__Lattices_Odistrib__lattice-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u20778) | class_Lattices_Odistrib__lattice(tc_fun(_u20779, _u20778)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_fun__Lattices_Oboolean__algebra ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_fun__Lattices_Oboolean__algebra-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u20780) | class_Lattices_Oboolean__algebra(tc_fun(_u20781, _u20780)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_fun__Orderings_Opreorder ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_fun__Orderings_Opreorder-1, axiom, ( ~class_Orderings_Opreorder(_u20782) | class_Orderings_Opreorder(tc_fun(_u20783, _u20782)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_fun__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_fun__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20784) | ~class_Finite__Set_Ofinite(_u20785) | class_Finite__Set_Ofinite(tc_fun(_u20784, _u20785)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_fun__Lattices_Olattice ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_fun__Lattices_Olattice-1, axiom, ( ~class_Lattices_Olattice(_u20786) | class_Lattices_Olattice(tc_fun(_u20787, _u20786)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_fun__Orderings_Oorder ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_fun__Orderings_Oorder-1, axiom, ( ~class_Orderings_Oorder(_u20788) | class_Orderings_Oorder(tc_fun(_u20789, _u20788)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_fun__Orderings_Otop ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_fun__Orderings_Otop-1, axiom, ( ~class_Orderings_Otop(_u20790) | class_Orderings_Otop(tc_fun(_u20791, _u20790)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_fun__Orderings_Oord ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_fun__Orderings_Oord-1, axiom, ( ~class_Orderings_Oord(_u20792) | class_Orderings_Oord(tc_fun(_u20793, _u20792)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_fun__Orderings_Obot ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_fun__Orderings_Obot-1, axiom, ( ~class_Orderings_Obot(_u20794) | class_Orderings_Obot(tc_fun(_u20795, _u20794)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_fun__Groups_Ouminus ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_fun__Groups_Ouminus-1, axiom, ( ~class_Groups_Ouminus(_u20796) | class_Groups_Ouminus(tc_fun(_u20797, _u20796)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_fun__Groups_Ominus ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_fun__Groups_Ominus-1, axiom, ( ~class_Groups_Ominus(_u20798) | class_Groups_Ominus(tc_fun(_u20799, _u20798)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_fun__Enum_Oenum ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_fun__Enum_Oenum-1, axiom, ( ~class_Enum_Oenum(_u20800) | ~class_Enum_Oenum(_u20801) | class_Enum_Oenum(tc_fun(_u20800, _u20801)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__1__strict ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Rings_Olinordered__semiring__1__strict-1, axiom, ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Groups_Olinordered__ab__semigroup__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add-1, axiom, ( class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Groups_Oordered__ab__group__add__abs ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Groups_Oordered__ab__group__add__abs-1, axiom, ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Groups_Olinordered__ab__group__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Groups_Olinordered__ab__group__add-1, axiom, ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Rings_Oring__1__no__zero__divisors ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Rings_Oring__1__no__zero__divisors-1, axiom, ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Rings_Olinordered__ring__strict ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Rings_Olinordered__ring__strict-1, axiom, ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Rings_Oring__no__zero__divisors ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Rings_Oring__no__zero__divisors-1, axiom, ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__1 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Rings_Olinordered__semiring__1-1, axiom, ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Groups_Oordered__ab__group__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Groups_Oordered__ab__group__add-1, axiom, ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Lazy__Sequence_Osmall__lazy ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Lazy__Sequence_Osmall__lazy-1, axiom, ( class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Rings_Oordered__ring__abs ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Rings_Oordered__ring__abs-1, axiom, ( class_Rings_Oordered__ring__abs(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Rings_Olinordered__ring ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Rings_Olinordered__ring-1, axiom, ( class_Rings_Olinordered__ring(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Rings_Olinordered__idom ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Rings_Olinordered__idom-1, axiom, ( class_Rings_Olinordered__idom(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Groups_Osemigroup__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Groups_Osemigroup__add-1, axiom, ( class_Groups_Osemigroup__add(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Divides_Osemiring__div ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Nat_Osemiring__char__0 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Nat_Osemiring__char__0-1, axiom, ( class_Nat_Osemiring__char__0(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Groups_Oab__group__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Groups_Oab__group__add-1, axiom, ( class_Groups_Oab__group__add(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Rings_Oordered__ring ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Rings_Oordered__ring-1, axiom, ( class_Rings_Oordered__ring(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Orderings_Opreorder ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Orderings_Olinorder ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Rings_Ocomm__ring__1 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Rings_Ocomm__ring__1-1, axiom, ( class_Rings_Ocomm__ring__1(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Groups_Omonoid__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Lattices_Olattice ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Groups_Ogroup__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Groups_Ogroup__add-1, axiom, ( class_Groups_Ogroup__add(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Divides_Oring__div ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Divides_Oring__div-1, axiom, ( class_Divides_Oring__div(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Rings_Omult__zero ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Rings_Ocomm__ring ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Rings_Ocomm__ring-1, axiom, ( class_Rings_Ocomm__ring(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Orderings_Oorder ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Int_Oring__char__0 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Int_Oring__char__0-1, axiom, ( class_Int_Oring__char__0(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Int_Onumber__ring ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Int_Onumber__ring-1, axiom, ( class_Int_Onumber__ring(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Rings_Osemiring ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Orderings_Oord ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Groups_Ouminus ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Groups_Osgn__if ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Groups_Osgn__if-1, axiom, ( class_Groups_Osgn__if(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Groups_Oabs__if ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Groups_Oabs__if-1, axiom, ( class_Groups_Oabs__if(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Rings_Oring__1 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Rings_Oring__1-1, axiom, ( class_Rings_Oring__1(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Groups_Ominus ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Power_Opower ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Power_Opower-1, axiom, ( class_Power_Opower(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Groups_Ozero ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Rings_Oring ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Rings_Oring-1, axiom, ( class_Rings_Oring(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Rings_Oidom ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Rings_Oidom-1, axiom, ( class_Rings_Oidom(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Int_Onumber ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Groups_Oone ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Int__Oint__Rings_Odvd ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Int__Oint__Rings_Odvd-1, axiom, ( class_Rings_Odvd(tc_Int_Oint) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add-1, axiom, ( class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Groups_Osemigroup__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Groups_Osemigroup__add-1, axiom, ( class_Groups_Osemigroup__add(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Divides_Osemiring__div ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Orderings_Owellorder ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Orderings_Owellorder-1, axiom, ( class_Orderings_Owellorder(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Nat_Osemiring__char__0 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Nat_Osemiring__char__0-1, axiom, ( class_Nat_Osemiring__char__0(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Orderings_Opreorder ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Orderings_Olinorder ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Groups_Omonoid__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Lattices_Olattice ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Rings_Omult__zero ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Orderings_Oorder ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Rings_Osemiring ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Orderings_Oord ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Orderings_Obot ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Orderings_Obot-1, axiom, ( class_Orderings_Obot(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Groups_Ominus ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Power_Opower ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Power_Opower-1, axiom, ( class_Power_Opower(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Groups_Ozero ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Int_Onumber ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Groups_Oone ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Rings_Odvd ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Rings_Odvd-1, axiom, ( class_Rings_Odvd(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nat__Onat__Nat_Osize ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nat__Onat__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Nat_Onat) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice-1, axiom, ( class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice__top ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_HOL__Obool__Lattices_Obounded__lattice__top-1, axiom, ( class_Lattices_Obounded__lattice__top(tc_HOL_Obool) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice__bot ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_HOL__Obool__Lattices_Obounded__lattice__bot-1, axiom, ( class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_HOL__Obool__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_HOL__Obool__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_HOL_Obool) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_HOL__Obool__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_HOL__Obool__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_HOL_Obool) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_HOL__Obool__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_HOL__Obool__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_HOL_Obool) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_HOL__Obool__Lattices_Oboolean__algebra ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_HOL__Obool__Lattices_Oboolean__algebra-1, axiom, ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_HOL__Obool__Orderings_Opreorder ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_HOL__Obool__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_HOL_Obool) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_HOL__Obool__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_HOL__Obool__Finite__Set_Ofinite-1, axiom, ( class_Finite__Set_Ofinite(tc_HOL_Obool) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_HOL__Obool__Lattices_Olattice ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_HOL__Obool__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_HOL_Obool) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_HOL__Obool__Orderings_Oorder ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_HOL__Obool__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_HOL_Obool) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_HOL__Obool__Orderings_Otop ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_HOL__Obool__Orderings_Otop-1, axiom, ( class_Orderings_Otop(tc_HOL_Obool) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_HOL__Obool__Orderings_Oord ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_HOL__Obool__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_HOL_Obool) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_HOL__Obool__Orderings_Obot ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_HOL__Obool__Orderings_Obot-1, axiom, ( class_Orderings_Obot(tc_HOL_Obool) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_HOL__Obool__Groups_Ouminus ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_HOL__Obool__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_HOL_Obool) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_HOL__Obool__Groups_Ominus ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_HOL__Obool__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_HOL_Obool) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_HOL__Obool__Enum_Oenum ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_HOL__Obool__Enum_Oenum-1, axiom, ( class_Enum_Oenum(tc_HOL_Obool) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_HOL__Obool__Nat_Osize ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_HOL__Obool__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_HOL_Obool) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_List__Olist__Lazy__Sequence_Osmall__lazy ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_List__Olist__Lazy__Sequence_Osmall__lazy-1, axiom, ( ~class_Lazy__Sequence_Osmall__lazy(_u20802) | class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(_u20802)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_List__Olist__Nat_Osize ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_List__Olist__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_List_Olist(_u20803)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_sum__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_sum__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20804) | ~class_Finite__Set_Ofinite(_u20805) | class_Finite__Set_Ofinite(tc_sum(_u20804, _u20805)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_sum__Enum_Oenum ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_sum__Enum_Oenum-1, axiom, ( ~class_Enum_Oenum(_u20806) | ~class_Enum_Oenum(_u20807) | class_Enum_Oenum(tc_sum(_u20806, _u20807)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_sum__Nat_Osize ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_sum__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_sum(_u20808, _u20809)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Option__Ooption__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Option__Ooption__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20810) | class_Finite__Set_Ofinite(tc_Option_Ooption(_u20810)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Option__Ooption__Enum_Oenum ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Option__Ooption__Enum_Oenum-1, axiom, ( ~class_Enum_Oenum(_u20811) | class_Enum_Oenum(tc_Option_Ooption(_u20811)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Option__Ooption__Nat_Osize ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Option__Ooption__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Option_Ooption(_u20812)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Nitpick__Opair____box__Nat_Osize ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Nitpick__Opair____box__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Nitpick_Opair__box(_u20813, _u20814)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_prod__Lazy__Sequence_Osmall__lazy ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_prod__Lazy__Sequence_Osmall__lazy-1, axiom, ( ~class_Lazy__Sequence_Osmall__lazy(_u20815) | ~class_Lazy__Sequence_Osmall__lazy(_u20816) | class_Lazy__Sequence_Osmall__lazy(tc_prod(_u20815, _u20816)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_prod__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_prod__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20817) | ~class_Finite__Set_Ofinite(_u20818) | class_Finite__Set_Ofinite(tc_prod(_u20817, _u20818)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_prod__Enum_Oenum ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_prod__Enum_Oenum-1, axiom, ( ~class_Enum_Oenum(_u20819) | ~class_Enum_Oenum(_u20820) | class_Enum_Oenum(tc_prod(_u20819, _u20820)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_prod__Nat_Osize ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_prod__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_prod(_u20821, _u20822)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy-1, axiom, ( class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Product____Type__Ounit__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Product____Type__Ounit__Finite__Set_Ofinite-1, axiom, ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Product____Type__Ounit__Enum_Oenum ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Product____Type__Ounit__Enum_Oenum-1, axiom, ( class_Enum_Oenum(tc_Product__Type_Ounit) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Product____Type__Ounit__Nat_Osize ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Product____Type__Ounit__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Product__Type_Ounit) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Evaluation__Oterm__Nat_Osize ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Evaluation__Oterm__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Code__Evaluation_Oterm) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Hoare____Mirabelle__Otriple__Nat_Osize ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Hoare____Mirabelle__Otriple__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(_u20823)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add-1, axiom, ( class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add-1, axiom, ( class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0-1, axiom, ( class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Oorder ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Oord ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ominus ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Power_Opower ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Power_Opower-1, axiom, ( class_Power_Opower(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ozero ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Int_Onumber ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oone ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Odvd ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Odvd-1, axiom, ( class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Code____Numeral__Ocode____numeral__Nat_Osize ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Code____Numeral__Ocode____numeral__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) )).
% 19.51/19.74
% 19.51/19.74 % Formula: arity_Lazy____Sequence__Olazy____sequence__Nat_Osize ( axiom ) converted to clauses:
% 19.51/19.74 cnf(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20824)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: help_c__COMBI__1 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(help_c__COMBI__1-1, axiom, ( ( hAPP(c_COMBI(_u20825), _u20826) = _u20826) )).
% 19.51/19.74
% 19.51/19.74 % Formula: help_c__COMBK__1 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(help_c__COMBK__1-1, axiom, ( ( hAPP(hAPP(c_COMBK(_u20827, _u20828), _u20829), _u20830) = _u20829) )).
% 19.51/19.74
% 19.51/19.74 % Formula: help_c__COMBB__1 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(help_c__COMBB__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBB(_u20831, _u20832, _u20833), _u20834), _u20835), _u20836) = hAPP(_u20834, hAPP(_u20835, _u20836))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: help_c__COMBC__1 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(help_c__COMBC__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBC(_u20837, _u20838, _u20839), _u20840), _u20841), _u20842) = hAPP(hAPP(_u20840, _u20842), _u20841)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: help_c__COMBS__1 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(help_c__COMBS__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBS(_u20843, _u20844, _u20845), _u20846), _u20847), _u20848) = hAPP(hAPP(_u20846, _u20848), hAPP(_u20847, _u20848))) )).
% 19.51/19.74
% 19.51/19.74 % Formula: help_c__fequal__1 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(help_c__fequal__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_fequal, _u20849), _u20850)) | ( _u20849 = _u20850) )).
% 19.51/19.74
% 19.51/19.74 % Formula: help_c__fequal__2 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(help_c__fequal__2-1, axiom, ( ( _u20851 != _u20852) | hBOOL(hAPP(hAPP(c_fequal, _u20851), _u20852)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: help_c__fFalse__1 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(help_c__fFalse__1-1, axiom, ( ~hBOOL(c_fFalse) )).
% 19.51/19.74
% 19.51/19.74 % Formula: help_c__fTrue__1 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(help_c__fTrue__1-1, axiom, ( hBOOL(c_fTrue) )).
% 19.51/19.74
% 19.51/19.74 % Formula: help_c__fNot__1 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(help_c__fNot__1-1, axiom, ( ~hBOOL(hAPP(c_fNot, _u20853)) | ~hBOOL(_u20853) )).
% 19.51/19.74
% 19.51/19.74 % Formula: help_c__fNot__2 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(help_c__fNot__2-1, axiom, ( hBOOL(_u20854) | hBOOL(hAPP(c_fNot, _u20854)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: help_c__fconj__1 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(help_c__fconj__1-1, axiom, ( ~hBOOL(_u20856) | ~hBOOL(_u20855) | hBOOL(hAPP(hAPP(c_fconj, _u20855), _u20856)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: help_c__fconj__2 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(help_c__fconj__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_fconj, _u20857), _u20858)) | hBOOL(_u20857) )).
% 19.51/19.74
% 19.51/19.74 % Formula: help_c__fconj__3 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(help_c__fconj__3-1, axiom, ( hBOOL(_u20860) | ~hBOOL(hAPP(hAPP(c_fconj, _u20859), _u20860)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: help_c__fdisj__1 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(help_c__fdisj__1-1, axiom, ( ~hBOOL(_u20861) | hBOOL(hAPP(hAPP(c_fdisj, _u20861), _u20862)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: help_c__fdisj__2 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(help_c__fdisj__2-1, axiom, ( ~hBOOL(_u20863) | hBOOL(hAPP(hAPP(c_fdisj, _u20864), _u20863)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: help_c__fdisj__3 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(help_c__fdisj__3-1, axiom, ( hBOOL(_u20866) | ~hBOOL(hAPP(hAPP(c_fdisj, _u20865), _u20866)) | hBOOL(_u20865) )).
% 19.51/19.74
% 19.51/19.74 % Formula: help_c__fimplies__1 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(help_c__fimplies__1-1, axiom, ( hBOOL(_u20867) | hBOOL(hAPP(hAPP(c_fimplies, _u20867), _u20868)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: help_c__fimplies__2 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(help_c__fimplies__2-1, axiom, ( ~hBOOL(_u20869) | hBOOL(hAPP(hAPP(c_fimplies, _u20870), _u20869)) )).
% 19.51/19.74
% 19.51/19.74 % Formula: help_c__fimplies__3 ( axiom ) converted to clauses:
% 19.51/19.74 cnf(help_c__fimplies__3-1, axiom, ( hBOOL(_u20872) | ~hBOOL(hAPP(hAPP(c_fimplies, _u20871), _u20872)) | ~hBOOL(_u20871) )).
% 19.51/19.74
% 19.51/19.74 % Formula: conj_0 ( conjecture ) (definitionally) converted to clauses:
% 19.51/19.74 cnf(conj_0-1, negated_conjecture, ( ~c_Hoare__Mirabelle_Ohoare__derivs(t_a, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), v_t), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool))), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), v_t), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))) )).
% 19.51/19.74
% 19.51/19.74 % Problem matrix:
% 19.51/19.74 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 19.51/19.75 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 19.51/19.75 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 19.51/19.75 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP(__eqx_0, __eqx_1) = hAPP(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Hoare__Mirabelle_Otriple(__eqx_0) = tc_Hoare__Mirabelle_Otriple(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_fun(__eqx_0, __eqx_1) = tc_fun(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Obot__class_Obot(__eqx_0) = c_Orderings_Obot__class_Obot(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_Oinsert(__eqx_0) = c_Set_Oinsert(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Set_Othe__elem(__eqx_0, __eqx_1) = c_Set_Othe__elem(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Finite__Set_Ofold1Set(__eqx_0, __eqx_1, __eqx_2) = c_Finite__Set_Ofold1Set(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Finite__Set_Ofold1(__eqx_0, __eqx_1) = c_Finite__Set_Ofold1(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Oless__eq(__eqx_0) = c_Orderings_Oord__class_Oless__eq(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( c_member(__eqx_0) = c_member(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lattices_Osemilattice__sup__class_Osup(__eqx_0) = c_Lattices_Osemilattice__sup__class_Osup(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ominus__class_Ominus(__eqx_0) = c_Groups_Ominus__class_Ominus(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( c_Finite__Set_Ofinite(__eqx_0) = c_Finite__Set_Ofinite(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Finite__Set_Ofold__graph(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Finite__Set_Ofold__graph(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Oless(__eqx_0) = c_Orderings_Oord__class_Oless(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Otimes__class_Otimes(__eqx_0) = c_Groups_Otimes__class_Otimes(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lattices_Osemilattice__inf__class_Oinf(__eqx_0) = c_Lattices_Osemilattice__inf__class_Oinf(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Finite__Set_Ofold(__eqx_0, __eqx_1, __eqx_2) = c_Finite__Set_Ofold(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Big__Operators_Olattice__class_OSup__fin(__eqx_0, __eqx_1) = c_Big__Operators_Olattice__class_OSup__fin(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( c_Finite__Set_Ocard(__eqx_0) = c_Finite__Set_Ocard(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Big__Operators_Olattice__class_OInf__fin(__eqx_0, __eqx_1) = c_Big__Operators_Olattice__class_OInf__fin(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oone__class_Oone(__eqx_0) = c_Groups_Oone__class_Oone(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oplus__class_Oplus(__eqx_0) = c_Groups_Oplus__class_Oplus(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Finite__Set_Ofold__image(__eqx_0, __eqx_1, __eqx_2) = c_Finite__Set_Ofold__image(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Complete__Lattice_OSup__class_OSup(__eqx_0, __eqx_1) = c_Complete__Lattice_OSup__class_OSup(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Big__Operators_Ocomm__monoid__add__class_Osetsum(__eqx_0, __eqx_1) = c_Big__Operators_Ocomm__monoid__add__class_Osetsum(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Predicate_OPowp(__eqx_0, __eqx_1) = c_Predicate_OPowp(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(__eqx_0, __eqx_1) = c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ozero__class_Ozero(__eqx_0) = c_Groups_Ozero__class_Ozero(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_sum(__eqx_0, __eqx_1) = tc_sum(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Sum__Type_OPlus(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Sum__Type_OPlus(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oring__1__class_OInts(__eqx_0) = c_Int_Oring__1__class_OInts(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( c_Rings_Oinverse__class_Odivide(__eqx_0) = c_Rings_Oinverse__class_Odivide(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Onumber__class_Onumber__of(__eqx_0) = c_Int_Onumber__class_Onumber__of(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-37, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Omin(__eqx_0) = c_Orderings_Oord__class_Omin(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Nitpick_Opair__box_OPairBox(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Nitpick_Opair__box_OPairBox(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Nitpick_Opair__box_Opair__box__size(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Nitpick_Opair__box_Opair__box__size(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_Nitpick_Opair__box(__eqx_0, __eqx_1) = tc_Nitpick_Opair__box(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-41, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Osize__class_Osize(__eqx_0) = c_Nat_Osize__class_Osize(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-42, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Nitpick_Opair__box_Opair__box__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Nitpick_Opair__box_Opair__box__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-43, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Nitpick_Opair__box_Opair__box__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Nitpick_Opair__box_Opair__box__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-44, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Orderings_Oord_Omin(__eqx_0, __eqx_1) = c_Orderings_Oord_Omin(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-45, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Big__Operators_Olinorder__class_OMin(__eqx_0, __eqx_1) = c_Big__Operators_Olinorder__class_OMin(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-46, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Big__Operators_Olattice_OInf__fin(__eqx_0, __eqx_1, __eqx_2) = c_Big__Operators_Olattice_OInf__fin(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-47, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Osemiring__1__class_Oof__nat(__eqx_0) = c_Nat_Osemiring__1__class_Oof__nat(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-48, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nat__Transfer_Otsub(__eqx_0, __eqx_1) = c_Nat__Transfer_Otsub(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-49, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Osucc(__eqx_0) = c_Int_Osucc(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-50, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Opred(__eqx_0) = c_Int_Opred(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-51, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Osemiring__1__class_ONats(__eqx_0) = c_Nat_Osemiring__1__class_ONats(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-52, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oabs__class_Oabs(__eqx_0) = c_Groups_Oabs__class_Oabs(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-53, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_OBit1(__eqx_0) = c_Int_OBit1(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-54, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ouminus__class_Ouminus(__eqx_0) = c_Groups_Ouminus__class_Ouminus(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-55, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_OBit0(__eqx_0) = c_Int_OBit0(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-56, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Divides_Odiv__class_Omod(__eqx_0, __eqx_1, __eqx_2) = c_Divides_Odiv__class_Omod(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-57, plain, ( ( __eqx_0 != __eqy_0) | ( c_Divides_Odiv__class_Odiv(__eqx_0) = c_Divides_Odiv__class_Odiv(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-58, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Code__Numeral_Onat__of__aux(__eqx_0, __eqx_1) = c_Code__Numeral_Onat__of__aux(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-59, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_SMT_Oz3div(__eqx_0, __eqx_1) = c_SMT_Oz3div(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-60, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_SMT_Oz3mod(__eqx_0, __eqx_1) = c_SMT_Oz3mod(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-61, plain, ( ( __eqx_0 != __eqy_0) | ( c_Power_Opower__class_Opower(__eqx_0) = c_Power_Opower__class_Opower(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-62, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Int_Onat__aux(__eqx_0, __eqx_1) = c_Int_Onat__aux(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-63, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OPow(__eqx_0) = c_Set_OPow(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-64, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Power_Opower_Opower(__eqx_0, __eqx_1, __eqx_2) = c_Power_Opower_Opower(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-65, plain, ( ( __eqx_0 != __eqy_0) | ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(__eqx_0) = c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-66, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oring__1__class_Oof__int(__eqx_0) = c_Int_Oring__1__class_Oof__int(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-67, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Oint__lcm(__eqx_0, __eqx_1) = c_Nitpick_Oint__lcm(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-68, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Onat__lcm(__eqx_0, __eqx_1) = c_Nitpick_Onat__lcm(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-69, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Onat__gcd(__eqx_0, __eqx_1) = c_Nitpick_Onat__gcd(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-70, plain, ( ( __eqx_0 != __eqy_0) | ( c_Code__Numeral_OSuc__code__numeral(__eqx_0) = c_Code__Numeral_OSuc__code__numeral(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-71, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Groups_Osgn__class_Osgn(__eqx_0, __eqx_1) = c_Groups_Osgn__class_Osgn(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-72, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-73, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Otop__class_Otop(__eqx_0) = c_Orderings_Otop__class_Otop(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-74, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_prod(__eqx_0, __eqx_1) = tc_prod(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-75, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Option_Ooption(__eqx_0) = tc_Option_Ooption(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-76, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Complete__Lattice_OInf__class_OInf(__eqx_0, __eqx_1) = c_Complete__Lattice_OInf__class_OInf(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-77, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Olog(__eqx_0, __eqx_1) = c_Random_Olog(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-78, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Random_Ominus__shift(__eqx_0, __eqx_1, __eqx_2) = c_Random_Ominus__shift(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-79, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Oinc__shift(__eqx_0, __eqx_1) = c_Random_Oinc__shift(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-80, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_OnegDivAlg(__eqx_0, __eqx_1) = c_Divides_OnegDivAlg(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-81, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Product__Type_OPair(__eqx_0, __eqx_1) = c_Product__Type_OPair(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-82, plain, ( ( __eqx_0 != __eqy_0) | ( c_Divides_Oadjust(__eqx_0) = c_Divides_Oadjust(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-83, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Onat_Onat__size(__eqx_0) = c_Nat_Onat_Onat__size(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-84, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_HOL_OLet(__eqx_0, __eqx_1) = c_HOL_OLet(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-85, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_COMBS(__eqx_0, __eqx_1, __eqx_2) = c_COMBS(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-86, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_COMBC(__eqx_0, __eqx_1, __eqx_2) = c_COMBC(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-87, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_COMBB(__eqx_0, __eqx_1, __eqx_2) = c_COMBB(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-88, plain, ( ( __eqx_0 != __eqy_0) | ( c_If(__eqx_0) = c_If(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-89, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-90, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_COMBK(__eqx_0, __eqx_1) = c_COMBK(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-91, plain, ( ( __eqx_0 != __eqy_0) | ( c_COMBI(__eqx_0) = c_COMBI(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-92, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Onorm__frac(__eqx_0, __eqx_1) = c_Nitpick_Onorm__frac(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-93, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Nat_Onat_Onat__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Nat_Onat_Onat__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-94, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_OposDivAlg(__eqx_0, __eqx_1) = c_Divides_OposDivAlg(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-95, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_FunDef_Oin__rel(__eqx_0, __eqx_1, __eqx_2) = c_FunDef_Oin__rel(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-96, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Code__Numeral_Odiv__mod__code__numeral(__eqx_0, __eqx_1) = c_Code__Numeral_Odiv__mod__code__numeral(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-97, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Product__Type_Oprod_Oprod__case(__eqx_0, __eqx_1, __eqx_2) = c_Product__Type_Oprod_Oprod__case(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-98, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_Odivmod__int(__eqx_0, __eqx_1) = c_Divides_Odivmod__int(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-99, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_Odivmod__nat(__eqx_0, __eqx_1) = c_Divides_Odivmod__nat(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-100, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Nat_Onat_Onat__rec(__eqx_0, __eqx_1, __eqx_2) = c_Nat_Onat_Onat__rec(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-101, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Nat_Osemiring__1__class_Oof__nat__aux(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-102, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Product__Type_Oapsnd(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Product__Type_Oapsnd(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-103, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_Opdivmod(__eqx_0, __eqx_1) = c_Divides_Opdivmod(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-104, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_Odivmod__nat__rel(__eqx_0, __eqx_1) = c_Divides_Odivmod__nat__rel(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-105, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Oaccp(__eqx_0, __eqx_1) = c_Wellfounded_Oaccp(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-106, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Orderings_Oord_Omax(__eqx_0, __eqx_1) = c_Orderings_Oord_Omax(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-107, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_Odivmod__int__rel(__eqx_0, __eqx_1) = c_Divides_Odivmod__int__rel(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-108, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Product__Type_Osnd(__eqx_0, __eqx_1) = c_Product__Type_Osnd(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-109, plain, ( ( __eqx_0 != __eqy_0) | ( c_Wellfounded_Omeasure(__eqx_0) = c_Wellfounded_Omeasure(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-110, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Product__Type_Ofst(__eqx_0, __eqx_1) = c_Product__Type_Ofst(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-111, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Product__Type_Oprod_Oprod__size(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Product__Type_Oprod_Oprod__size(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-112, plain, ( ( __eqx_0 != __eqy_0) | ( c_Random_Orange(__eqx_0) = c_Random_Orange(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-113, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OlessThan(__eqx_0) = c_SetInterval_Oord__class_OlessThan(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-114, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Wellfounded_Omlex__prod(__eqx_0, __eqx_1, __eqx_2) = c_Wellfounded_Omlex__prod(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-115, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Product__Type_Oprod_Oprod__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Product__Type_Oprod_Oprod__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-116, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_SetInterval_Oord_OatMost(__eqx_0, __eqx_1, __eqx_2) = c_SetInterval_Oord_OatMost(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-117, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_SetInterval_Oord_OatLeast(__eqx_0, __eqx_1, __eqx_2) = c_SetInterval_Oord_OatLeast(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-118, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_SetInterval_Oord_OgreaterThanAtMost(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_SetInterval_Oord_OgreaterThanAtMost(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-119, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_SetInterval_Oord_OatLeastLessThan(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_SetInterval_Oord_OatLeastLessThan(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-120, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_SetInterval_Oord_OgreaterThanLessThan(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_SetInterval_Oord_OgreaterThanLessThan(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-121, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_SetInterval_Oord_OatLeastAtMost(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_SetInterval_Oord_OatLeastAtMost(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-122, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_SetInterval_Oord_OlessThan(__eqx_0, __eqx_1, __eqx_2) = c_SetInterval_Oord_OlessThan(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-123, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_SetInterval_Oord_OgreaterThan(__eqx_0, __eqx_1, __eqx_2) = c_SetInterval_Oord_OgreaterThan(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-124, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Wellfounded_Olex__prod(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Wellfounded_Olex__prod(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-125, plain, ( ( __eqx_0 != __eqy_0) | ( c_Wellfounded_Ofinite__psubset(__eqx_0) = c_Wellfounded_Ofinite__psubset(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-126, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Recdef_Osame__fst(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Recdef_Osame__fst(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-127, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Omax(__eqx_0) = c_Orderings_Oord__class_Omax(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-128, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Big__Operators_Olinorder__class_OMax(__eqx_0, __eqx_1) = c_Big__Operators_Olinorder__class_OMax(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-129, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Big__Operators_Olattice_OSup__fin(__eqx_0, __eqx_1, __eqx_2) = c_Big__Operators_Olattice_OSup__fin(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-130, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Product__Type_Oapfst(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Product__Type_Oapfst(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-131, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_SetInterval_Oord__class_OatLeastAtMost(__eqx_0, __eqx_1, __eqx_2) = c_SetInterval_Oord__class_OatLeastAtMost(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-132, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Complete__Lattice_Ocomplete__lattice__class_OINFI(__eqx_0, __eqx_1) = c_Complete__Lattice_Ocomplete__lattice__class_OINFI(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-133, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Omin__ext(__eqx_0, __eqx_1) = c_Wellfounded_Omin__ext(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-134, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Omax__ext(__eqx_0, __eqx_1) = c_Wellfounded_Omax__ext(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-135, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_SetInterval_Oord__class_OgreaterThanLessThan(__eqx_0, __eqx_1, __eqx_2) = c_SetInterval_Oord__class_OgreaterThanLessThan(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-136, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(__eqx_0, __eqx_1, __eqx_2) = c_SetInterval_Oord__class_OgreaterThanAtMost(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-137, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_Oinv__image(__eqx_0, __eqx_1) = c_Relation_Oinv__image(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-138, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_FunDef_Orp__inv__image(__eqx_0, __eqx_1) = c_FunDef_Orp__inv__image(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-139, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(__eqx_0, __eqx_1) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-140, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OatMost(__eqx_0) = c_SetInterval_Oord__class_OatMost(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-141, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_SetInterval_Oord__class_OatLeastLessThan(__eqx_0, __eqx_1) = c_SetInterval_Oord__class_OatLeastLessThan(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-142, plain, ( ( __eqx_0 != __eqy_0) | ( c_Relation_OField(__eqx_0) = c_Relation_OField(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-143, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_OId__on(__eqx_0, __eqx_1) = c_Relation_OId__on(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-144, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Set_Oimage(__eqx_0, __eqx_1, __eqx_2) = c_Set_Oimage(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-145, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OgreaterThan(__eqx_0) = c_SetInterval_Oord__class_OgreaterThan(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-146, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Fun_Ofun__upd(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Fun_Ofun__upd(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-147, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OatLeast(__eqx_0) = c_SetInterval_Oord__class_OatLeast(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-148, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Relation_OImage(__eqx_0, __eqx_1, __eqx_2) = c_Relation_OImage(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-149, plain, ( ( __eqx_0 != __eqy_0) | ( c_Equiv__Relations_Oquotient(__eqx_0) = c_Equiv__Relations_Oquotient(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-150, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Oacc(__eqx_0, __eqx_1) = c_Wellfounded_Oacc(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-151, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Fun_Othe__inv__into(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Fun_Othe__inv__into(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-152, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Ozero__frac(__eqx_0) = c_Nitpick_Ozero__frac(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-153, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_OAbs__Frac(__eqx_0, __eqx_1) = c_Nitpick_OAbs__Frac(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-154, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Oone__frac(__eqx_0) = c_Nitpick_Oone__frac(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-155, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Onumber__of__frac(__eqx_0, __eqx_1) = c_Nitpick_Onumber__of__frac(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-156, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Ofrac(__eqx_0) = c_Nitpick_Ofrac(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-157, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_HOL_OThe(__eqx_0, __eqx_1) = c_HOL_OThe(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-158, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Partial__Function_Oflat__lub(__eqx_0, __eqx_1, __eqx_2) = c_Partial__Function_Oflat__lub(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-159, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Set_Ovimage(__eqx_0, __eqx_1, __eqx_2) = c_Set_Ovimage(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-160, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Product__Type_OSigma(__eqx_0, __eqx_1) = c_Product__Type_OSigma(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-161, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( c_Product__Type_Omap__pair(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = c_Product__Type_Omap__pair(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 19.51/19.75 cnf(matrix-162, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OCollect(__eqx_0) = c_Set_OCollect(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-163, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_OEx(__eqx_0) = c_HOL_OEx(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-164, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Nitpick_Oprod(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Nitpick_Oprod(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-165, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oint__ge__less__than2(__eqx_0) = c_Int_Oint__ge__less__than2(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-166, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oint__ge__less__than(__eqx_0) = c_Int_Oint__ge__less__than(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-167, plain, ( ( __eqx_0 != __eqy_0) | ( c_Fun_Oid(__eqx_0) = c_Fun_Oid(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-168, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Relation_Orel__comp(__eqx_0, __eqx_1, __eqx_2) = c_Relation_Orel__comp(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-169, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_ORange(__eqx_0, __eqx_1) = c_Relation_ORange(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-170, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Predicate_ORangeP(__eqx_0, __eqx_1, __eqx_2) = c_Predicate_ORangeP(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-171, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Predicate_Opred__comp(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Predicate_Opred__comp(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-172, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_ODomain(__eqx_0, __eqx_1) = c_Relation_ODomain(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-173, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Predicate_ODomainP(__eqx_0, __eqx_1, __eqx_2) = c_Predicate_ODomainP(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-174, plain, ( ( __eqx_0 != __eqy_0) | ( tc_List_Olist(__eqx_0) = tc_List_Olist(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-175, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olenlex(__eqx_0, __eqx_1) = c_List_Olenlex(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-176, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olex(__eqx_0, __eqx_1) = c_List_Olex(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-177, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olexn(__eqx_0, __eqx_1) = c_List_Olexn(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-178, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OBall(__eqx_0) = c_Set_OBall(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-179, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_OAll(__eqx_0) = c_HOL_OAll(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-180, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Fun_Ocomp(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Fun_Ocomp(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-181, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Hilbert__Choice_OEps(__eqx_0, __eqx_1) = c_Hilbert__Choice_OEps(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-182, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Random_Oiterate(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Random_Oiterate(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-183, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Product__Type_Oscomp(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Product__Type_Oscomp(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-184, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Transitive__Closure_Otrancl(__eqx_0, __eqx_1) = c_Transitive__Closure_Otrancl(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-185, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Transitive__Closure_Ortrancl(__eqx_0, __eqx_1) = c_Transitive__Closure_Ortrancl(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-186, plain, ( ( __eqx_0 != __eqy_0) | ( c_Relation_OId(__eqx_0) = c_Relation_OId(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-187, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_Oconverse(__eqx_0, __eqx_1) = c_Relation_Oconverse(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-188, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nat_Ocompow(__eqx_0, __eqx_1) = c_Nat_Ocompow(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-189, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Ofunpow(__eqx_0) = c_Nat_Ofunpow(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-190, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Nitpick_Oplus__frac(__eqx_0, __eqx_1, __eqx_2) = c_Nitpick_Oplus__frac(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-191, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Odenom(__eqx_0) = c_Nitpick_Odenom(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-192, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Onum(__eqx_0) = c_Nitpick_Onum(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-193, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Nitpick_Otimes__frac(__eqx_0, __eqx_1, __eqx_2) = c_Nitpick_Otimes__frac(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-194, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Nitpick_Oof__frac(__eqx_0, __eqx_1, __eqx_2) = c_Nitpick_Oof__frac(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-195, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Oinverse__frac(__eqx_0, __eqx_1) = c_Nitpick_Oinverse__frac(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-196, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Ouminus__frac(__eqx_0, __eqx_1) = c_Nitpick_Ouminus__frac(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-197, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_ORep__Frac(__eqx_0) = c_Nitpick_ORep__Frac(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-198, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Product__Type_Ointernal__split(__eqx_0, __eqx_1, __eqx_2) = c_Product__Type_Ointernal__split(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-199, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_Obool_Obool__size(__eqx_0) = c_HOL_Obool_Obool__size(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-200, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Osublist(__eqx_0, __eqx_1, __eqx_2) = c_List_Osublist(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-201, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Olist_OCons(__eqx_0) = c_List_Olist_OCons(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-202, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Oset__Cons(__eqx_0, __eqx_1, __eqx_2) = c_List_Oset__Cons(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-203, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Opick(__eqx_0, __eqx_1) = c_Random_Opick(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-204, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Oselect__weight(__eqx_0, __eqx_1) = c_Random_Oselect__weight(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-205, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olexord(__eqx_0, __eqx_1) = c_List_Olexord(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-206, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistrel1(__eqx_0, __eqx_1) = c_List_Olistrel1(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-207, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Olist_Olist__size(__eqx_0, __eqx_1, __eqx_2) = c_List_Olist_Olist__size(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-208, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistrel(__eqx_0, __eqx_1) = c_List_Olistrel(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-209, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olists(__eqx_0, __eqx_1) = c_List_Olists(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-210, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Onth(__eqx_0) = c_List_Onth(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-211, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Otake(__eqx_0) = c_List_Otake(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-212, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oset(__eqx_0) = c_List_Oset(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-213, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Ozip(__eqx_0, __eqx_1) = c_List_Ozip(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-214, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oupto(__eqx_0, __eqx_1) = c_List_Oupto(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-215, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Omonoid__add__class_Olistsum(__eqx_0) = c_List_Omonoid__add__class_Olistsum(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-216, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olist__update(__eqx_0, __eqx_1) = c_List_Olist__update(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-217, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Obutlast(__eqx_0, __eqx_1) = c_List_Obutlast(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-218, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Odistinct(__eqx_0) = c_List_Odistinct(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-219, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Ocard_H(__eqx_0, __eqx_1) = c_Nitpick_Ocard_H(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-220, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Oremove1(__eqx_0, __eqx_1, __eqx_2) = c_List_Oremove1(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-221, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Olist_ONil(__eqx_0) = c_List_Olist_ONil(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-222, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Oselect(__eqx_0, __eqx_1) = c_Random_Oselect(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-223, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistset(__eqx_0, __eqx_1) = c_List_Olistset(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-224, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_List_Olist_Olist__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_List_Olist_Olist__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-225, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olinorder__class_Osorted__list__of__set(__eqx_0, __eqx_1) = c_List_Olinorder__class_Osorted__list__of__set(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-226, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Lazy__Sequence_Oanamorph(__eqx_0, __eqx_1, __eqx_2) = c_Lazy__Sequence_Oanamorph(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-227, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Option_Ooption_Ooption__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Option_Ooption_Ooption__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-228, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oappend(__eqx_0) = c_List_Oappend(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-229, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Orotate1(__eqx_0) = c_List_Orotate1(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-230, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Odrop(__eqx_0) = c_List_Odrop(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-231, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Ohd(__eqx_0) = c_List_Ohd(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-232, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Otl(__eqx_0) = c_List_Otl(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-233, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Orotate(__eqx_0, __eqx_1) = c_List_Orotate(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-234, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_List_Ofoldl(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_List_Ofoldl(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-235, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Olinorder__class_Oinsort__key(__eqx_0, __eqx_1, __eqx_2) = c_List_Olinorder__class_Oinsort__key(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-236, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_List_Olinorder__class_Oinsort__insert__key(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_List_Olinorder__class_Oinsort__insert__key(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-237, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olast(__eqx_0, __eqx_1) = c_List_Olast(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-238, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Omap(__eqx_0, __eqx_1) = c_List_Omap(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-239, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Nitpick_Osetsum_H(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Nitpick_Osetsum_H(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-240, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__DSequence_Opos__not__seq(__eqx_0) = c_New__DSequence_Opos__not__seq(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-241, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Ohb__not__seq(__eqx_0) = c_Lazy__Sequence_Ohb__not__seq(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-242, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Opartition(__eqx_0, __eqx_1, __eqx_2) = c_List_Opartition(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-243, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistsp(__eqx_0, __eqx_1) = c_List_Olistsp(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-244, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Enum_Oproduct(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Enum_Oproduct(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-245, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Enum_Osublists(__eqx_0, __eqx_1) = c_Enum_Osublists(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-246, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Enum_On__lists(__eqx_0, __eqx_1, __eqx_2) = c_Enum_On__lists(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-247, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Enum_Oenum__the(__eqx_0, __eqx_1) = c_Enum_Oenum__the(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-248, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oremdups(__eqx_0, __eqx_1) = c_List_Oremdups(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-249, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_OremoveAll(__eqx_0, __eqx_1) = c_List_OremoveAll(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-250, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oconcat(__eqx_0, __eqx_1) = c_List_Oconcat(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-251, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_List_Olinorder__class_Osort__key(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_List_Olinorder__class_Osort__key(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-252, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Otranspose(__eqx_0, __eqx_1) = c_List_Otranspose(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-253, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Ofilter(__eqx_0, __eqx_1) = c_List_Ofilter(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-254, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Otranspose__rel(__eqx_0) = c_List_Otranspose__rel(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-255, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_List_Ofoldr(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_List_Ofoldr(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-256, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oupt(__eqx_0, __eqx_1) = c_List_Oupt(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-257, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Orev(__eqx_0) = c_List_Orev(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-258, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_OtakeWhile(__eqx_0, __eqx_1, __eqx_2) = c_List_OtakeWhile(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-259, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oreturn__list(__eqx_0) = c_List_Oreturn__list(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-260, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oembed__list(__eqx_0) = c_List_Oembed__list(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-261, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_OdropWhile(__eqx_0, __eqx_1, __eqx_2) = c_List_OdropWhile(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-262, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Oinsert(__eqx_0, __eqx_1, __eqx_2) = c_List_Oinsert(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-263, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_List_Omaps(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_List_Omaps(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-264, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Omeasures(__eqx_0, __eqx_1) = c_List_Omeasures(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-265, plain, ( ( __eqx_0 != __eqy_0) | ( c_Enum_Oenum__class_Oenum__ex(__eqx_0) = c_Enum_Oenum__class_Oenum__ex(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-266, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__Random__Sequence_Opos__not__random__dseq(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__Random__Sequence_Opos__not__random__dseq(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-267, plain, ( ( __eqx_0 != __eqy_0) | ( c_Enum_Oenum__class_Oenum__all(__eqx_0) = c_Enum_Oenum__class_Oenum__all(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-268, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__DSequence_Oneg__decr__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__DSequence_Oneg__decr__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-269, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Ohit__bound(__eqx_0) = c_Lazy__Sequence_Ohit__bound(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-270, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Lazy__Sequence_Olazy__sequence(__eqx_0) = tc_Lazy__Sequence_Olazy__sequence(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-271, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Lazy__Sequence_Ohb__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Lazy__Sequence_Ohb__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-272, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__DSequence_Opos__decr__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__DSequence_Opos__decr__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-273, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Oempty(__eqx_0) = c_Lazy__Sequence_Oempty(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-274, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Lazy__Sequence_Obind(__eqx_0, __eqx_1, __eqx_2) = c_Lazy__Sequence_Obind(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-275, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( c_New__Random__Sequence_Oneg__decr__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = c_New__Random__Sequence_Oneg__decr__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 19.51/19.75 cnf(matrix-276, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( c_New__Random__Sequence_Opos__decr__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = c_New__Random__Sequence_Opos__decr__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 19.51/19.75 cnf(matrix-277, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__DSequence_Oneg__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__DSequence_Oneg__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-278, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__DSequence_Opos__empty(__eqx_0) = c_New__DSequence_Opos__empty(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-279, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__Random__Sequence_Opos__empty(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__Random__Sequence_Opos__empty(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-280, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__Random__Sequence_Oneg__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__Random__Sequence_Oneg__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-281, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__DSequence_Opos__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__DSequence_Opos__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-282, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__Random__Sequence_Oneg__map(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__Random__Sequence_Oneg__map(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-283, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__Random__Sequence_Oneg__single(__eqx_0) = c_New__Random__Sequence_Oneg__single(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-284, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_New__DSequence_Oneg__single(__eqx_0, __eqx_1) = c_New__DSequence_Oneg__single(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-285, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__Random__Sequence_Opos__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__Random__Sequence_Opos__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-286, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Lazy__Sequence_Ohb__single(__eqx_0, __eqx_1) = c_Lazy__Sequence_Ohb__single(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-287, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__Random__Sequence_Opos__map(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__Random__Sequence_Opos__map(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-288, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__Random__Sequence_Opos__single(__eqx_0) = c_New__Random__Sequence_Opos__single(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-289, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_New__DSequence_Opos__single(__eqx_0, __eqx_1) = c_New__DSequence_Opos__single(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-290, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Osplice(__eqx_0, __eqx_1, __eqx_2) = c_List_Osplice(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-291, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Osingle(__eqx_0) = c_Lazy__Sequence_Osingle(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-292, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Predicate_Oconversep(__eqx_0, __eqx_1, __eqx_2) = c_Predicate_Oconversep(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-293, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Lazy__Sequence_Oproduct(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Lazy__Sequence_Oproduct(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-294, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Oreplicate(__eqx_0, __eqx_1, __eqx_2) = c_List_Oreplicate(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-295, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(__eqx_0, __eqx_1) = c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-296, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Lazy__Sequence_Oappend(__eqx_0, __eqx_1, __eqx_2) = c_Lazy__Sequence_Oappend(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-297, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_New__DSequence_Opos__union(__eqx_0, __eqx_1, __eqx_2) = c_New__DSequence_Opos__union(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-298, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Lazy__Sequence_Olazy__sequence_OInsert(__eqx_0, __eqx_1, __eqx_2) = c_Lazy__Sequence_Olazy__sequence_OInsert(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-299, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( c_New__Random__Sequence_Opos__union(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = c_New__Random__Sequence_Opos__union(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 19.51/19.75 cnf(matrix-300, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(__eqx_0, __eqx_1) = c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-301, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Lazy__Sequence_Osmall__lazy_H(__eqx_0, __eqx_1) = c_Lazy__Sequence_Osmall__lazy_H(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-302, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Oyield(__eqx_0) = c_Lazy__Sequence_Oyield(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-303, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-304, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Oyieldn(__eqx_0) = c_Lazy__Sequence_Oyieldn(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-305, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Omember(__eqx_0) = c_List_Omember(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-306, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_FunDef_OTHE__default(__eqx_0, __eqx_1, __eqx_2) = c_FunDef_OTHE__default(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-307, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Olazy__sequence_OEmpty(__eqx_0) = c_Lazy__Sequence_Olazy__sequence_OEmpty(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-308, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Random__Sequence_ORandom(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Random__Sequence_ORandom(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-309, plain, ( ( __eqx_0 != __eqy_0) | ( c_DSequence_Oempty(__eqx_0) = c_DSequence_Oempty(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-310, plain, ( ( __eqx_0 != __eqy_0) | ( c_DSequence_Ounion(__eqx_0) = c_DSequence_Ounion(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-311, plain, ( ( __eqx_0 != __eqy_0) | ( c_DSequence_Osingle(__eqx_0) = c_DSequence_Osingle(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-312, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Random__Sequence_Oempty(__eqx_0, __eqx_1, __eqx_2) = c_Random__Sequence_Oempty(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-313, plain, ( ( __eqx_0 != __eqy_0) | ( c_Random__Sequence_Osingle(__eqx_0) = c_Random__Sequence_Osingle(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-314, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Random__Sequence_Omap(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Random__Sequence_Omap(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-315, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Random__Sequence_Obind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Random__Sequence_Obind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-316, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OBex(__eqx_0) = c_Set_OBex(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-317, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( c_Partial__Function_Ofun__lub(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = c_Partial__Function_Ofun__lub(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 19.51/19.75 cnf(matrix-318, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Hilbert__Choice_Oinv__into(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Hilbert__Choice_Oinv__into(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-319, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-320, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Quickcheck_Obeyond(__eqx_0, __eqx_1) = c_Quickcheck_Obeyond(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-321, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Product__Type_Ocurry(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Product__Type_Ocurry(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-322, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Quotient_ORespects(__eqx_0, __eqx_1) = c_Quotient_ORespects(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-323, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Quotient_OBabs(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Quotient_OBabs(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-324, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Lazy__Sequence_Oflat(__eqx_0, __eqx_1) = c_Lazy__Sequence_Oflat(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-325, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Lazy__Sequence_Omap(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Lazy__Sequence_Omap(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-326, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_New__DSequence_Opos__map(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_New__DSequence_Opos__map(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-327, plain, ( ( __eqx_0 != __eqy_0) | ( c_Rings_Odvd__class_Odvd(__eqx_0) = c_Rings_Odvd__class_Odvd(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-328, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-329, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem2(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem2(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-330, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem3(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem3(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-331, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem4(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem4(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-332, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem5(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem5(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-333, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem6(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem6(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-334, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem7(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem7(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-335, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem8(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem8(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-336, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem9(__eqx_0, __eqx_1) = skolem9(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-337, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem10(__eqx_0, __eqx_1) = skolem10(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-338, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem11(__eqx_0, __eqx_1) = skolem11(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-339, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem12(__eqx_0, __eqx_1) = skolem12(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-340, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem13(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem13(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 19.51/19.75 cnf(matrix-341, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem14(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem14(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 19.51/19.75 cnf(matrix-342, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem15(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem15(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-343, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem16(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem16(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-344, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem17(__eqx_0, __eqx_1, __eqx_2) = skolem17(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-345, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem18(__eqx_0, __eqx_1, __eqx_2) = skolem18(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-346, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem19(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem19(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-347, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem20(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem20(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-348, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem21(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem21(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-349, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem22(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem22(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-350, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem23(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem23(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-351, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem24(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem24(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-352, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem25(__eqx_0, __eqx_1) = skolem25(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-353, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem26(__eqx_0, __eqx_1) = skolem26(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-354, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem27(__eqx_0, __eqx_1, __eqx_2) = skolem27(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-355, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem28(__eqx_0, __eqx_1, __eqx_2) = skolem28(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-356, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem29(__eqx_0, __eqx_1, __eqx_2) = skolem29(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-357, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem30(__eqx_0, __eqx_1, __eqx_2) = skolem30(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-358, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem31(__eqx_0, __eqx_1, __eqx_2) = skolem31(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-359, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem32(__eqx_0, __eqx_1) = skolem32(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-360, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem33(__eqx_0, __eqx_1) = skolem33(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-361, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem34(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem34(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 19.51/19.75 cnf(matrix-362, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem35(__eqx_0, __eqx_1) = skolem35(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-363, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem36(__eqx_0, __eqx_1) = skolem36(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-364, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem37(__eqx_0, __eqx_1) = skolem37(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-365, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem38(__eqx_0, __eqx_1) = skolem38(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-366, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem39(__eqx_0, __eqx_1, __eqx_2) = skolem39(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-367, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem40(__eqx_0, __eqx_1, __eqx_2) = skolem40(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-368, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem41(__eqx_0, __eqx_1, __eqx_2) = skolem41(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-369, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem42(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem42(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-370, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem43(__eqx_0, __eqx_1) = skolem43(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-371, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem44(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem44(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 19.51/19.75 cnf(matrix-372, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem45(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem45(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 19.51/19.75 cnf(matrix-373, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem46(__eqx_0, __eqx_1, __eqx_2) = skolem46(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-374, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem47(__eqx_0, __eqx_1, __eqx_2) = skolem47(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-375, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem48(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem48(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-376, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem49(__eqx_0, __eqx_1, __eqx_2) = skolem49(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-377, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem50(__eqx_0, __eqx_1, __eqx_2) = skolem50(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-378, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem51(__eqx_0, __eqx_1, __eqx_2) = skolem51(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-379, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem52(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem52(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-380, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem53(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem53(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 19.51/19.75 cnf(matrix-381, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem54(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem54(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-382, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem55(__eqx_0, __eqx_1, __eqx_2) = skolem55(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-383, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem56(__eqx_0, __eqx_1, __eqx_2) = skolem56(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-384, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem57(__eqx_0, __eqx_1, __eqx_2) = skolem57(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-385, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem58(__eqx_0, __eqx_1, __eqx_2) = skolem58(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-386, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem59(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem59(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-387, plain, ( ( __eqx_0 != __eqy_0) | ( skolem60(__eqx_0) = skolem60(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-388, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem61(__eqx_0, __eqx_1) = skolem61(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-389, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem62(__eqx_0, __eqx_1, __eqx_2) = skolem62(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-390, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem63(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem63(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-391, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem64(__eqx_0, __eqx_1, __eqx_2) = skolem64(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-392, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem65(__eqx_0, __eqx_1, __eqx_2) = skolem65(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-393, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem66(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem66(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-394, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem67(__eqx_0, __eqx_1, __eqx_2) = skolem67(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-395, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem68(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem68(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-396, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem69(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem69(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-397, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem70(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem70(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-398, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem71(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem71(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-399, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem72(__eqx_0, __eqx_1, __eqx_2) = skolem72(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-400, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem73(__eqx_0, __eqx_1, __eqx_2) = skolem73(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-401, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem74(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem74(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-402, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem75(__eqx_0, __eqx_1) = skolem75(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-403, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem76(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem76(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-404, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem77(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem77(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-405, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem78(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem78(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-406, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem79(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem79(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-407, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem80(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem80(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-408, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem81(__eqx_0, __eqx_1, __eqx_2) = skolem81(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-409, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem82(__eqx_0, __eqx_1, __eqx_2) = skolem82(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-410, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem83(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem83(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-411, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem84(__eqx_0, __eqx_1) = skolem84(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-412, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem85(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem85(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-413, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem86(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem86(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-414, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem87(__eqx_0, __eqx_1, __eqx_2) = skolem87(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-415, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem88(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem88(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-416, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem89(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem89(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-417, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem90(__eqx_0, __eqx_1, __eqx_2) = skolem90(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-418, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem91(__eqx_0, __eqx_1, __eqx_2) = skolem91(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-419, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem92(__eqx_0, __eqx_1, __eqx_2) = skolem92(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-420, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem93(__eqx_0, __eqx_1, __eqx_2) = skolem93(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-421, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem94(__eqx_0, __eqx_1, __eqx_2) = skolem94(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-422, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem95(__eqx_0, __eqx_1) = skolem95(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-423, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem96(__eqx_0, __eqx_1) = skolem96(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-424, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem97(__eqx_0, __eqx_1) = skolem97(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-425, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem98(__eqx_0, __eqx_1) = skolem98(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-426, plain, ( ( __eqx_0 != __eqy_0) | ( skolem99(__eqx_0) = skolem99(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-427, plain, ( ( __eqx_0 != __eqy_0) | ( skolem100(__eqx_0) = skolem100(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-428, plain, ( ( __eqx_0 != __eqy_0) | ( skolem101(__eqx_0) = skolem101(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-429, plain, ( ( __eqx_0 != __eqy_0) | ( skolem102(__eqx_0) = skolem102(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-430, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem103(__eqx_0, __eqx_1) = skolem103(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-431, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem104(__eqx_0, __eqx_1) = skolem104(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-432, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem105(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem105(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-433, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem106(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem106(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-434, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem107(__eqx_0, __eqx_1, __eqx_2) = skolem107(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-435, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem108(__eqx_0, __eqx_1, __eqx_2) = skolem108(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-436, plain, ( ( __eqx_0 != __eqy_0) | ( skolem109(__eqx_0) = skolem109(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-437, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem110(__eqx_0, __eqx_1, __eqx_2) = skolem110(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-438, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem111(__eqx_0, __eqx_1) = skolem111(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-439, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem112(__eqx_0, __eqx_1, __eqx_2) = skolem112(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-440, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem113(__eqx_0, __eqx_1, __eqx_2) = skolem113(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-441, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem114(__eqx_0, __eqx_1, __eqx_2) = skolem114(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-442, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem115(__eqx_0, __eqx_1, __eqx_2) = skolem115(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-443, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem116(__eqx_0, __eqx_1, __eqx_2) = skolem116(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-444, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem117(__eqx_0, __eqx_1, __eqx_2) = skolem117(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-445, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem118(__eqx_0, __eqx_1, __eqx_2) = skolem118(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-446, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem119(__eqx_0, __eqx_1, __eqx_2) = skolem119(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-447, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem120(__eqx_0, __eqx_1, __eqx_2) = skolem120(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-448, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem121(__eqx_0, __eqx_1, __eqx_2) = skolem121(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-449, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem122(__eqx_0, __eqx_1, __eqx_2) = skolem122(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-450, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem123(__eqx_0, __eqx_1, __eqx_2) = skolem123(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-451, plain, ( ( __eqx_0 != __eqy_0) | ( skolem124(__eqx_0) = skolem124(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-452, plain, ( ( __eqx_0 != __eqy_0) | ( skolem125(__eqx_0) = skolem125(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-453, plain, ( ( __eqx_0 != __eqy_0) | ( skolem126(__eqx_0) = skolem126(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-454, plain, ( ( __eqx_0 != __eqy_0) | ( skolem127(__eqx_0) = skolem127(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-455, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem128(__eqx_0, __eqx_1) = skolem128(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-456, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem129(__eqx_0, __eqx_1, __eqx_2) = skolem129(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-457, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem130(__eqx_0, __eqx_1, __eqx_2) = skolem130(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-458, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem131(__eqx_0, __eqx_1) = skolem131(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-459, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem132(__eqx_0, __eqx_1, __eqx_2) = skolem132(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-460, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem133(__eqx_0, __eqx_1, __eqx_2) = skolem133(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-461, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem134(__eqx_0, __eqx_1, __eqx_2) = skolem134(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-462, plain, ( ( __eqx_0 != __eqy_0) | ( skolem135(__eqx_0) = skolem135(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-463, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem136(__eqx_0, __eqx_1, __eqx_2) = skolem136(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-464, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem137(__eqx_0, __eqx_1, __eqx_2) = skolem137(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-465, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem138(__eqx_0, __eqx_1, __eqx_2) = skolem138(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-466, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem139(__eqx_0, __eqx_1, __eqx_2) = skolem139(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-467, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem140(__eqx_0, __eqx_1, __eqx_2) = skolem140(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-468, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem141(__eqx_0, __eqx_1, __eqx_2) = skolem141(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-469, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem142(__eqx_0, __eqx_1, __eqx_2) = skolem142(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-470, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem143(__eqx_0, __eqx_1, __eqx_2) = skolem143(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-471, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem144(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem144(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-472, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem145(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem145(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-473, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem146(__eqx_0, __eqx_1, __eqx_2) = skolem146(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-474, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem147(__eqx_0, __eqx_1, __eqx_2) = skolem147(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-475, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem148(__eqx_0, __eqx_1) = skolem148(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-476, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem149(__eqx_0, __eqx_1, __eqx_2) = skolem149(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-477, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem150(__eqx_0, __eqx_1, __eqx_2) = skolem150(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-478, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem151(__eqx_0, __eqx_1, __eqx_2) = skolem151(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-479, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem152(__eqx_0, __eqx_1, __eqx_2) = skolem152(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-480, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem153(__eqx_0, __eqx_1, __eqx_2) = skolem153(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-481, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem154(__eqx_0, __eqx_1, __eqx_2) = skolem154(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-482, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem155(__eqx_0, __eqx_1, __eqx_2) = skolem155(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-483, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem156(__eqx_0, __eqx_1, __eqx_2) = skolem156(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-484, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem157(__eqx_0, __eqx_1, __eqx_2) = skolem157(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-485, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem158(__eqx_0, __eqx_1, __eqx_2) = skolem158(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-486, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem159(__eqx_0, __eqx_1, __eqx_2) = skolem159(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-487, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem160(__eqx_0, __eqx_1, __eqx_2) = skolem160(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-488, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem161(__eqx_0, __eqx_1, __eqx_2) = skolem161(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-489, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem162(__eqx_0, __eqx_1, __eqx_2) = skolem162(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-490, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem163(__eqx_0, __eqx_1, __eqx_2) = skolem163(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-491, plain, ( ( __eqx_0 != __eqy_0) | ( skolem164(__eqx_0) = skolem164(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-492, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem165(__eqx_0, __eqx_1) = skolem165(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-493, plain, ( ( __eqx_0 != __eqy_0) | ( skolem166(__eqx_0) = skolem166(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-494, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem167(__eqx_0, __eqx_1) = skolem167(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-495, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem168(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem168(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 19.51/19.75 cnf(matrix-496, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem169(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem169(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-497, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem170(__eqx_0, __eqx_1, __eqx_2) = skolem170(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-498, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem171(__eqx_0, __eqx_1) = skolem171(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-499, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem172(__eqx_0, __eqx_1) = skolem172(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-500, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem173(__eqx_0, __eqx_1) = skolem173(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-501, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem174(__eqx_0, __eqx_1) = skolem174(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-502, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem175(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem175(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-503, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem176(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem176(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-504, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem177(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem177(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-505, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem178(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem178(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-506, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem179(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem179(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-507, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem180(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem180(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-508, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem181(__eqx_0, __eqx_1) = skolem181(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-509, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem182(__eqx_0, __eqx_1) = skolem182(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-510, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem183(__eqx_0, __eqx_1) = skolem183(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-511, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem184(__eqx_0, __eqx_1) = skolem184(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-512, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem185(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem185(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-513, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem186(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem186(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 19.51/19.75 cnf(matrix-514, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem187(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem187(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-515, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem188(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem188(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-516, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem189(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem189(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-517, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem190(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem190(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-518, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem191(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem191(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-519, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem192(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem192(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-520, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem193(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem193(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-521, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem194(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem194(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-522, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem195(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem195(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-523, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem196(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem196(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-524, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem197(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem197(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-525, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem198(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem198(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-526, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem199(__eqx_0, __eqx_1, __eqx_2) = skolem199(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-527, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem200(__eqx_0, __eqx_1, __eqx_2) = skolem200(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-528, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem201(__eqx_0, __eqx_1, __eqx_2) = skolem201(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-529, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem202(__eqx_0, __eqx_1, __eqx_2) = skolem202(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-530, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem203(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem203(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-531, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem204(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem204(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-532, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem205(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem205(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-533, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem206(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem206(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-534, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem207(__eqx_0, __eqx_1) = skolem207(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-535, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem208(__eqx_0, __eqx_1) = skolem208(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-536, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem209(__eqx_0, __eqx_1) = skolem209(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-537, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem210(__eqx_0, __eqx_1) = skolem210(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-538, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem211(__eqx_0, __eqx_1) = skolem211(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-539, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem212(__eqx_0, __eqx_1) = skolem212(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-540, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem213(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem213(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-541, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem214(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem214(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-542, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem215(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem215(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-543, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem216(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem216(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-544, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem217(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem217(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-545, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem218(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem218(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-546, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem219(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem219(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-547, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem220(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem220(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-548, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem221(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem221(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-549, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem222(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem222(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-550, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem223(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem223(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-551, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem224(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem224(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-552, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem225(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem225(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-553, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem226(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem226(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-554, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem227(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem227(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-555, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem228(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem228(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 19.51/19.75 cnf(matrix-556, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem229(__eqx_0, __eqx_1) = skolem229(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-557, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem230(__eqx_0, __eqx_1) = skolem230(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-558, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem231(__eqx_0, __eqx_1) = skolem231(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-559, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem232(__eqx_0, __eqx_1) = skolem232(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-560, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem233(__eqx_0, __eqx_1) = skolem233(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-561, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem234(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem234(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-562, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem235(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem235(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-563, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem236(__eqx_0, __eqx_1, __eqx_2) = skolem236(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-564, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem237(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem237(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-565, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem238(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem238(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-566, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem239(__eqx_0, __eqx_1, __eqx_2) = skolem239(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-567, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem240(__eqx_0, __eqx_1, __eqx_2) = skolem240(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-568, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem241(__eqx_0, __eqx_1, __eqx_2) = skolem241(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-569, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem242(__eqx_0, __eqx_1, __eqx_2) = skolem242(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-570, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem243(__eqx_0, __eqx_1, __eqx_2) = skolem243(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-571, plain, ( ( __eqx_0 != __eqy_0) | ( skolem244(__eqx_0) = skolem244(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-572, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem245(__eqx_0, __eqx_1, __eqx_2) = skolem245(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-573, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem246(__eqx_0, __eqx_1, __eqx_2) = skolem246(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-574, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem247(__eqx_0, __eqx_1, __eqx_2) = skolem247(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-575, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem248(__eqx_0, __eqx_1, __eqx_2) = skolem248(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-576, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem249(__eqx_0, __eqx_1, __eqx_2) = skolem249(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-577, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem250(__eqx_0, __eqx_1, __eqx_2) = skolem250(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-578, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem251(__eqx_0, __eqx_1, __eqx_2) = skolem251(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-579, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem252(__eqx_0, __eqx_1, __eqx_2) = skolem252(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-580, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem253(__eqx_0, __eqx_1, __eqx_2) = skolem253(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-581, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem254(__eqx_0, __eqx_1, __eqx_2) = skolem254(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-582, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem255(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem255(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-583, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem256(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem256(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-584, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem257(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem257(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-585, plain, ( ( __eqx_0 != __eqy_0) | ( skolem258(__eqx_0) = skolem258(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-586, plain, ( ( __eqx_0 != __eqy_0) | ( skolem259(__eqx_0) = skolem259(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-587, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem260(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem260(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-588, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem261(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem261(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-589, plain, ( ( __eqx_0 != __eqy_0) | ( skolem262(__eqx_0) = skolem262(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-590, plain, ( ( __eqx_0 != __eqy_0) | ( skolem263(__eqx_0) = skolem263(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-591, plain, ( ( __eqx_0 != __eqy_0) | ( skolem264(__eqx_0) = skolem264(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-592, plain, ( ( __eqx_0 != __eqy_0) | ( skolem265(__eqx_0) = skolem265(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-593, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem266(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem266(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 19.51/19.75 cnf(matrix-594, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem267(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem267(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 19.51/19.75 cnf(matrix-595, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( __eqx_8 != __eqy_8) | ( __eqx_9 != __eqy_9) | ( __eqx_10 != __eqy_10) | ( skolem268(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7, __eqx_8, __eqx_9, __eqx_10) = skolem268(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7, __eqy_8, __eqy_9, __eqy_10)) )).
% 19.51/19.75 cnf(matrix-596, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( __eqx_8 != __eqy_8) | ( __eqx_9 != __eqy_9) | ( __eqx_10 != __eqy_10) | ( skolem269(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7, __eqx_8, __eqx_9, __eqx_10) = skolem269(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7, __eqy_8, __eqy_9, __eqy_10)) )).
% 19.51/19.75 cnf(matrix-597, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem270(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem270(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 19.51/19.75 cnf(matrix-598, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem271(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem271(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-599, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem272(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem272(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-600, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem273(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem273(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-601, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem274(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem274(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-602, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem275(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem275(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-603, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem276(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem276(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-604, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem277(__eqx_0, __eqx_1, __eqx_2) = skolem277(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-605, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem278(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem278(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-606, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem279(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem279(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 19.51/19.75 cnf(matrix-607, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem280(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem280(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-608, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem281(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem281(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-609, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem282(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem282(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-610, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem283(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem283(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-611, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem284(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem284(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-612, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem285(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem285(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-613, plain, ( ( __eqx_0 != __eqy_0) | ( skolem286(__eqx_0) = skolem286(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-614, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem287(__eqx_0, __eqx_1) = skolem287(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-615, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem288(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem288(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 19.51/19.75 cnf(matrix-616, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem289(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem289(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-617, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem290(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem290(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 19.51/19.75 cnf(matrix-618, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem291(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem291(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-619, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem292(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem292(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 19.51/19.75 cnf(matrix-620, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem293(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem293(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 19.51/19.75 cnf(matrix-621, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem294(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem294(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-622, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem295(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem295(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-623, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem296(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem296(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-624, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem297(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem297(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 19.51/19.75 cnf(matrix-625, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem298(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem298(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 19.51/19.75 cnf(matrix-626, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem299(__eqx_0, __eqx_1, __eqx_2) = skolem299(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-627, plain, ( ( __eqx_0 != __eqy_0) | ( skolem300(__eqx_0) = skolem300(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-628, plain, ( ( __eqx_0 != __eqy_0) | ( skolem301(__eqx_0) = skolem301(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-629, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem302(__eqx_0, __eqx_1, __eqx_2) = skolem302(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-630, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem303(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem303(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 19.51/19.75 cnf(matrix-631, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem304(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem304(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-632, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem305(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem305(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 19.51/19.75 cnf(matrix-633, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem306(__eqx_0, __eqx_1) = skolem306(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-634, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem307(__eqx_0, __eqx_1) = skolem307(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-635, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem308(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem308(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-636, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem309(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem309(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-637, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem310(__eqx_0, __eqx_1) = skolem310(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-638, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem311(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem311(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-639, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem312(__eqx_0, __eqx_1) = skolem312(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-640, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem313(__eqx_0, __eqx_1, __eqx_2) = skolem313(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-641, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem314(__eqx_0, __eqx_1) = skolem314(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-642, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem315(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem315(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-643, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem316(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem316(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-644, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem317(__eqx_0, __eqx_1) = skolem317(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-645, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem318(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem318(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-646, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem319(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem319(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-647, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem320(__eqx_0, __eqx_1) = skolem320(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-648, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem321(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem321(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-649, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem322(__eqx_0, __eqx_1, __eqx_2) = skolem322(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-650, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem323(__eqx_0, __eqx_1, __eqx_2) = skolem323(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-651, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem324(__eqx_0, __eqx_1, __eqx_2) = skolem324(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-652, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem325(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem325(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-653, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem326(__eqx_0, __eqx_1) = skolem326(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-654, plain, ( ( __eqx_0 != __eqy_0) | ( skolem327(__eqx_0) = skolem327(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-655, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem328(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem328(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-656, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem329(__eqx_0, __eqx_1) = skolem329(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-657, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem330(__eqx_0, __eqx_1, __eqx_2) = skolem330(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-658, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem331(__eqx_0, __eqx_1, __eqx_2) = skolem331(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-659, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem332(__eqx_0, __eqx_1, __eqx_2) = skolem332(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-660, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem333(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem333(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 19.51/19.75 cnf(matrix-661, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem334(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem334(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 19.51/19.75 cnf(matrix-662, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem335(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem335(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 19.51/19.75 cnf(matrix-663, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem336(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem336(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 19.51/19.75 cnf(matrix-664, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem337(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem337(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 19.51/19.75 cnf(matrix-665, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem338(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem338(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 19.51/19.75 cnf(matrix-666, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem339(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem339(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 19.51/19.75 cnf(matrix-667, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem340(__eqx_0, __eqx_1) = skolem340(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-668, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem341(__eqx_0, __eqx_1) = skolem341(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-669, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem342(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem342(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 19.51/19.75 cnf(matrix-670, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem343(__eqx_0, __eqx_1, __eqx_2) = skolem343(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-671, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem344(__eqx_0, __eqx_1, __eqx_2) = skolem344(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-672, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem345(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem345(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-673, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem346(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem346(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-674, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem347(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem347(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-675, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem348(__eqx_0, __eqx_1, __eqx_2) = skolem348(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-676, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem349(__eqx_0, __eqx_1, __eqx_2) = skolem349(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-677, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem350(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem350(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 19.51/19.75 cnf(matrix-678, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem351(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem351(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 19.51/19.75 cnf(matrix-679, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem352(__eqx_0, __eqx_1, __eqx_2) = skolem352(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-680, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem353(__eqx_0, __eqx_1) = skolem353(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-681, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem354(__eqx_0, __eqx_1) = skolem354(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-682, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem355(__eqx_0, __eqx_1, __eqx_2) = skolem355(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-683, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem356(__eqx_0, __eqx_1) = skolem356(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-684, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem357(__eqx_0, __eqx_1) = skolem357(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-685, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem358(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem358(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-686, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem359(__eqx_0, __eqx_1, __eqx_2) = skolem359(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-687, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem360(__eqx_0, __eqx_1, __eqx_2) = skolem360(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-688, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem361(__eqx_0, __eqx_1, __eqx_2) = skolem361(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-689, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem362(__eqx_0, __eqx_1, __eqx_2) = skolem362(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-690, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem363(__eqx_0, __eqx_1, __eqx_2) = skolem363(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-691, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem364(__eqx_0, __eqx_1, __eqx_2) = skolem364(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-692, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem365(__eqx_0, __eqx_1, __eqx_2) = skolem365(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-693, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem366(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem366(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-694, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem367(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem367(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-695, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem368(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem368(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-696, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem369(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem369(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-697, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem370(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem370(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-698, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem371(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem371(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-699, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem372(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem372(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-700, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem373(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem373(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-701, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem374(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem374(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-702, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem375(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem375(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-703, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem376(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem376(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-704, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem377(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem377(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-705, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem378(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem378(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-706, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem379(__eqx_0, __eqx_1) = skolem379(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-707, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem380(__eqx_0, __eqx_1) = skolem380(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-708, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem381(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem381(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-709, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem382(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem382(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 19.51/19.75 cnf(matrix-710, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem383(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem383(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 19.51/19.75 cnf(matrix-711, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem384(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem384(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 19.51/19.75 cnf(matrix-712, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem385(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem385(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-713, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem386(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem386(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-714, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem387(__eqx_0, __eqx_1) = skolem387(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-715, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem388(__eqx_0, __eqx_1, __eqx_2) = skolem388(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-716, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem389(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem389(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-717, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem390(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem390(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-718, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem391(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem391(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-719, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem392(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem392(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-720, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem393(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem393(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-721, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem394(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem394(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-722, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem395(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem395(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-723, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem396(__eqx_0, __eqx_1, __eqx_2) = skolem396(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-724, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem397(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem397(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-725, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem398(__eqx_0, __eqx_1, __eqx_2) = skolem398(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-726, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem399(__eqx_0, __eqx_1, __eqx_2) = skolem399(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-727, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem400(__eqx_0, __eqx_1, __eqx_2) = skolem400(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-728, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem401(__eqx_0, __eqx_1, __eqx_2) = skolem401(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-729, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem402(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem402(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-730, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem403(__eqx_0, __eqx_1, __eqx_2) = skolem403(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-731, plain, ( ( __eqx_0 != __eqy_0) | ( skolem404(__eqx_0) = skolem404(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-732, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem405(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem405(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-733, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem406(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem406(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-734, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem407(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem407(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-735, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem408(__eqx_0, __eqx_1) = skolem408(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-736, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem409(__eqx_0, __eqx_1) = skolem409(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-737, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem410(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem410(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-738, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem411(__eqx_0, __eqx_1, __eqx_2) = skolem411(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-739, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem412(__eqx_0, __eqx_1, __eqx_2) = skolem412(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-740, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem413(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem413(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-741, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem414(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem414(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-742, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem415(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem415(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-743, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem416(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem416(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-744, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem417(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem417(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-745, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem418(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem418(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-746, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem419(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem419(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-747, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem420(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem420(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-748, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem421(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem421(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-749, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem422(__eqx_0, __eqx_1) = skolem422(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-750, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem423(__eqx_0, __eqx_1, __eqx_2) = skolem423(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-751, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem424(__eqx_0, __eqx_1, __eqx_2) = skolem424(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-752, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem425(__eqx_0, __eqx_1, __eqx_2) = skolem425(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-753, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem426(__eqx_0, __eqx_1, __eqx_2) = skolem426(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-754, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem427(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem427(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-755, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem428(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem428(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-756, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem429(__eqx_0, __eqx_1, __eqx_2) = skolem429(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-757, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem430(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem430(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-758, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem431(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem431(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-759, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem432(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem432(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-760, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem433(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem433(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-761, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem434(__eqx_0, __eqx_1) = skolem434(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-762, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem435(__eqx_0, __eqx_1) = skolem435(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-763, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem436(__eqx_0, __eqx_1, __eqx_2) = skolem436(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-764, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem437(__eqx_0, __eqx_1, __eqx_2) = skolem437(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-765, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem438(__eqx_0, __eqx_1, __eqx_2) = skolem438(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-766, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem439(__eqx_0, __eqx_1, __eqx_2) = skolem439(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-767, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem440(__eqx_0, __eqx_1) = skolem440(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-768, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem441(__eqx_0, __eqx_1, __eqx_2) = skolem441(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-769, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem442(__eqx_0, __eqx_1, __eqx_2) = skolem442(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-770, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem443(__eqx_0, __eqx_1, __eqx_2) = skolem443(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-771, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem444(__eqx_0, __eqx_1, __eqx_2) = skolem444(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-772, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem445(__eqx_0, __eqx_1, __eqx_2) = skolem445(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-773, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem446(__eqx_0, __eqx_1) = skolem446(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-774, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem447(__eqx_0, __eqx_1) = skolem447(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-775, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem448(__eqx_0, __eqx_1, __eqx_2) = skolem448(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-776, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem449(__eqx_0, __eqx_1, __eqx_2) = skolem449(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-777, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem450(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem450(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-778, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem451(__eqx_0, __eqx_1) = skolem451(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-779, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem452(__eqx_0, __eqx_1) = skolem452(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-780, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem453(__eqx_0, __eqx_1, __eqx_2) = skolem453(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-781, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem454(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem454(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-782, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem455(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem455(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-783, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem456(__eqx_0, __eqx_1) = skolem456(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-784, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem457(__eqx_0, __eqx_1) = skolem457(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-785, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem458(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem458(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-786, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem459(__eqx_0, __eqx_1) = skolem459(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-787, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem460(__eqx_0, __eqx_1) = skolem460(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-788, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem461(__eqx_0, __eqx_1) = skolem461(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-789, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem462(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem462(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 19.51/19.75 cnf(matrix-790, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem463(__eqx_0, __eqx_1) = skolem463(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-791, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem464(__eqx_0, __eqx_1) = skolem464(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-792, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem465(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem465(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-793, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem466(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem466(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-794, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem467(__eqx_0, __eqx_1) = skolem467(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-795, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem468(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem468(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-796, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem469(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem469(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-797, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem470(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem470(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-798, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem471(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem471(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-799, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem472(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem472(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 19.51/19.75 cnf(matrix-800, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem473(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem473(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-801, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem474(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem474(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-802, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem475(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem475(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 19.51/19.75 cnf(matrix-803, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem476(__eqx_0, __eqx_1) = skolem476(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-804, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem477(__eqx_0, __eqx_1) = skolem477(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-805, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem478(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem478(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-806, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem479(__eqx_0, __eqx_1, __eqx_2) = skolem479(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-807, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem480(__eqx_0, __eqx_1, __eqx_2) = skolem480(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-808, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem481(__eqx_0, __eqx_1, __eqx_2) = skolem481(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-809, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem482(__eqx_0, __eqx_1, __eqx_2) = skolem482(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-810, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem483(__eqx_0, __eqx_1, __eqx_2) = skolem483(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-811, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem484(__eqx_0, __eqx_1, __eqx_2) = skolem484(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-812, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem485(__eqx_0, __eqx_1, __eqx_2) = skolem485(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-813, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem486(__eqx_0, __eqx_1, __eqx_2) = skolem486(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-814, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem487(__eqx_0, __eqx_1, __eqx_2) = skolem487(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-815, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem488(__eqx_0, __eqx_1, __eqx_2) = skolem488(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-816, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem489(__eqx_0, __eqx_1, __eqx_2) = skolem489(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-817, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem490(__eqx_0, __eqx_1, __eqx_2) = skolem490(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-818, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem491(__eqx_0, __eqx_1, __eqx_2) = skolem491(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-819, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem492(__eqx_0, __eqx_1, __eqx_2) = skolem492(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-820, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem493(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem493(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-821, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem494(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem494(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-822, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem495(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem495(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-823, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem496(__eqx_0, __eqx_1, __eqx_2) = skolem496(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-824, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem497(__eqx_0, __eqx_1, __eqx_2) = skolem497(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-825, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem498(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem498(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-826, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem499(__eqx_0, __eqx_1, __eqx_2) = skolem499(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-827, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem500(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem500(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-828, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem501(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem501(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-829, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem502(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem502(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-830, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem503(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem503(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-831, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem504(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem504(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-832, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem505(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem505(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-833, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem506(__eqx_0, __eqx_1, __eqx_2) = skolem506(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-834, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem507(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem507(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 19.51/19.75 cnf(matrix-835, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem508(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem508(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 19.51/19.75 cnf(matrix-836, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem509(__eqx_0, __eqx_1) = skolem509(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-837, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem510(__eqx_0, __eqx_1, __eqx_2) = skolem510(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-838, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem511(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem511(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 19.51/19.75 cnf(matrix-839, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem512(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem512(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 19.51/19.75 cnf(matrix-840, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem513(__eqx_0, __eqx_1, __eqx_2) = skolem513(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-841, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem514(__eqx_0, __eqx_1, __eqx_2) = skolem514(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-842, plain, ( ( __eqx_0 != __eqy_0) | ( skolem515(__eqx_0) = skolem515(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-843, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem516(__eqx_0, __eqx_1) = skolem516(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-844, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem517(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem517(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-845, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem518(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem518(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-846, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem519(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem519(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-847, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem520(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem520(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-848, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem521(__eqx_0, __eqx_1) = skolem521(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-849, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem522(__eqx_0, __eqx_1) = skolem522(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-850, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem523(__eqx_0, __eqx_1) = skolem523(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-851, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem524(__eqx_0, __eqx_1) = skolem524(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-852, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem525(__eqx_0, __eqx_1) = skolem525(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-853, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem526(__eqx_0, __eqx_1) = skolem526(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-854, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem527(__eqx_0, __eqx_1) = skolem527(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-855, plain, ( ( __eqx_0 != __eqy_0) | ( skolem528(__eqx_0) = skolem528(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-856, plain, ( ( __eqx_0 != __eqy_0) | ( skolem529(__eqx_0) = skolem529(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-857, plain, ( ( __eqx_0 != __eqy_0) | ( skolem530(__eqx_0) = skolem530(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-858, plain, ( ( __eqx_0 != __eqy_0) | ( skolem531(__eqx_0) = skolem531(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-859, plain, ( ( __eqx_0 != __eqy_0) | ( skolem532(__eqx_0) = skolem532(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-860, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem533(__eqx_0, __eqx_1) = skolem533(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-861, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem534(__eqx_0, __eqx_1) = skolem534(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-862, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem535(__eqx_0, __eqx_1) = skolem535(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-863, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem536(__eqx_0, __eqx_1, __eqx_2) = skolem536(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-864, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem537(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem537(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-865, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem538(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem538(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 19.51/19.75 cnf(matrix-866, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem539(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem539(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 19.51/19.75 cnf(matrix-867, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem540(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem540(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 19.51/19.75 cnf(matrix-868, plain, ( ( __eqx_0 != __eqy_0) | ( skolem541(__eqx_0) = skolem541(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-869, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem542(__eqx_0, __eqx_1) = skolem542(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-870, plain, ( ( __eqx_0 != __eqy_0) | ( skolem543(__eqx_0) = skolem543(__eqy_0)) )).
% 19.51/19.75 cnf(matrix-871, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem544(__eqx_0, __eqx_1) = skolem544(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-872, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem545(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem545(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-873, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem546(__eqx_0, __eqx_1) = skolem546(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-874, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem547(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem547(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 19.51/19.75 cnf(matrix-875, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem548(__eqx_0, __eqx_1) = skolem548(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-876, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem549(__eqx_0, __eqx_1) = skolem549(__eqy_0, __eqy_1)) )).
% 19.51/19.75 cnf(matrix-877, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem550(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem550(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-878, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem551(__eqx_0, __eqx_1, __eqx_2) = skolem551(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-879, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem552(__eqx_0, __eqx_1, __eqx_2) = skolem552(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-880, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem553(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem553(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-881, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem554(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem554(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-882, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem555(__eqx_0, __eqx_1, __eqx_2) = skolem555(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-883, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem556(__eqx_0, __eqx_1, __eqx_2) = skolem556(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-884, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem557(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem557(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 19.51/19.75 cnf(matrix-885, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem558(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem558(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 19.51/19.75 cnf(matrix-886, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem559(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem559(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 19.51/19.75 cnf(matrix-887, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem560(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem560(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 19.51/19.75 cnf(matrix-888, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem561(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem561(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 19.51/19.75 cnf(matrix-889, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem562(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem562(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 19.51/19.75 cnf(matrix-890, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem563(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem563(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 19.51/19.75 cnf(matrix-891, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem564(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem564(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 19.51/19.75 cnf(matrix-892, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem565(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem565(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 19.51/19.75 cnf(matrix-893, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem566(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem566(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 19.51/19.75 cnf(matrix-894, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem567(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem567(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 19.51/19.75 cnf(matrix-895, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem568(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem568(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 19.51/19.75 cnf(matrix-896, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem569(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem569(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-897, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem570(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem570(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 19.51/19.75 cnf(matrix-898, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem571(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem571(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 19.51/19.75 cnf(matrix-899, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem572(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem572(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 19.51/19.75 cnf(matrix-900, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem573(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem573(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 19.51/19.75 cnf(matrix-901, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem574(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem574(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 19.51/19.75 cnf(matrix-902, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem575(__eqx_0, __eqx_1, __eqx_2) = skolem575(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-903, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem576(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem576(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 19.51/19.75 cnf(matrix-904, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem577(__eqx_0, __eqx_1, __eqx_2) = skolem577(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-905, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem578(__eqx_0, __eqx_1, __eqx_2) = skolem578(__eqy_0, __eqy_1, __eqy_2)) )).
% 19.51/19.75 cnf(matrix-906, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Hoare__Mirabelle_Ohoare__derivs(__eqx_0, __eqx_1, __eqx_2) | c_Hoare__Mirabelle_Ohoare__derivs(__eqy_0, __eqy_1, __eqy_2) )).
% 19.51/19.75 cnf(matrix-907, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Obot(__eqx_0) | class_Orderings_Obot(__eqy_0) )).
% 19.51/19.75 cnf(matrix-908, plain, ( ( __eqx_0 != __eqy_0) | ~hBOOL(__eqx_0) | hBOOL(__eqy_0) )).
% 19.51/19.75 cnf(matrix-909, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Hoare__Mirabelle_Ohoare__valids(__eqx_0, __eqx_1, __eqx_2) | c_Hoare__Mirabelle_Ohoare__valids(__eqy_0, __eqy_1, __eqy_2) )).
% 19.51/19.75 cnf(matrix-910, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Finite__Set_Ofolding__one(__eqx_0, __eqx_1, __eqx_2) | c_Finite__Set_Ofolding__one(__eqy_0, __eqy_1, __eqy_2) )).
% 19.51/19.75 cnf(matrix-911, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ~c_Finite__Set_Ofolding__image__simple(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) | c_Finite__Set_Ofolding__image__simple(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5) )).
% 19.51/19.75 cnf(matrix-912, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ~c_Finite__Set_Ofolding__image__idem(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) | c_Finite__Set_Ofolding__image__idem(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4) )).
% 19.51/19.75 cnf(matrix-913, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Finite__Set_Ofun__left__comm__idem(__eqx_0, __eqx_1, __eqx_2) | c_Finite__Set_Ofun__left__comm__idem(__eqy_0, __eqy_1, __eqy_2) )).
% 19.51/19.75 cnf(matrix-914, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Opreorder(__eqx_0) | class_Orderings_Opreorder(__eqy_0) )).
% 19.51/19.75 cnf(matrix-915, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Osemilattice__sup(__eqx_0) | class_Lattices_Osemilattice__sup(__eqy_0) )).
% 19.51/19.75 cnf(matrix-916, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oord(__eqx_0) | class_Orderings_Oord(__eqy_0) )).
% 19.51/19.75 cnf(matrix-917, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Olinorder(__eqx_0) | class_Orderings_Olinorder(__eqy_0) )).
% 19.51/19.75 cnf(matrix-918, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oorder(__eqx_0) | class_Orderings_Oorder(__eqy_0) )).
% 19.51/19.75 cnf(matrix-919, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ominus(__eqx_0) | class_Groups_Ominus(__eqy_0) )).
% 19.51/19.75 cnf(matrix-920, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Olattice(__eqx_0) | class_Lattices_Olattice(__eqy_0) )).
% 19.51/19.75 cnf(matrix-921, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice__bot(__eqx_0) | class_Lattices_Obounded__lattice__bot(__eqy_0) )).
% 19.51/19.75 cnf(matrix-922, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__group__add(__eqx_0) | class_Groups_Oordered__ab__group__add(__eqy_0) )).
% 19.51/19.75 cnf(matrix-923, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ~c_Nitpick_Ofold__graph_H(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) | c_Nitpick_Ofold__graph_H(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5) )).
% 19.51/19.75 cnf(matrix-924, plain, ( ( __eqx_0 != __eqy_0) | ~class_Finite__Set_Ofinite(__eqx_0) | class_Finite__Set_Ofinite(__eqy_0) )).
% 19.51/19.75 cnf(matrix-925, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__group__add(__eqx_0) | class_Groups_Oab__group__add(__eqy_0) )).
% 19.51/19.75 cnf(matrix-926, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Finite__Set_Ofolding__one__idem(__eqx_0, __eqx_1, __eqx_2) | c_Finite__Set_Ofolding__one__idem(__eqy_0, __eqy_1, __eqy_2) )).
% 19.51/19.75 cnf(matrix-927, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__semigroup__mult(__eqx_0) | class_Groups_Oab__semigroup__mult(__eqy_0) )).
% 19.51/19.75 cnf(matrix-928, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Oab__semigroup__idem__mult(__eqx_0) | class_Lattices_Oab__semigroup__idem__mult(__eqy_0) )).
% 19.51/19.75 cnf(matrix-929, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ~c_Finite__Set_Ofolding__image__simple__idem(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) | c_Finite__Set_Ofolding__image__simple__idem(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5) )).
% 19.51/19.75 cnf(matrix-930, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Osemilattice__inf(__eqx_0) | class_Lattices_Osemilattice__inf(__eqy_0) )).
% 19.51/19.75 cnf(matrix-931, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Odistrib__lattice(__eqx_0) | class_Lattices_Odistrib__lattice(__eqy_0) )).
% 19.51/19.75 cnf(matrix-932, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Big__Operators_Osemilattice__big(__eqx_0, __eqx_1, __eqx_2) | c_Big__Operators_Osemilattice__big(__eqy_0, __eqy_1, __eqy_2) )).
% 19.51/19.75 cnf(matrix-933, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Finite__Set_Ofun__left__comm(__eqx_0, __eqx_1, __eqx_2) | c_Finite__Set_Ofun__left__comm(__eqy_0, __eqy_1, __eqy_2) )).
% 19.51/19.75 cnf(matrix-934, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oone(__eqx_0) | class_Groups_Oone(__eqy_0) )).
% 19.51/19.75 cnf(matrix-935, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocomm__monoid__mult(__eqx_0) | class_Groups_Ocomm__monoid__mult(__eqy_0) )).
% 19.51/19.75 cnf(matrix-936, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Omonoid__mult(__eqx_0) | class_Groups_Omonoid__mult(__eqy_0) )).
% 19.51/19.75 cnf(matrix-937, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semidom(__eqx_0) | class_Rings_Olinordered__semidom(__eqy_0) )).
% 19.51/19.75 cnf(matrix-938, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring__1(__eqx_0) | class_Rings_Ocomm__semiring__1(__eqy_0) )).
% 19.51/19.75 cnf(matrix-939, plain, ( ( __eqx_0 != __eqy_0) | ~class_Complete__Lattice_Ocomplete__lattice(__eqx_0) | class_Complete__Lattice_Ocomplete__lattice(__eqy_0) )).
% 19.51/19.75 cnf(matrix-940, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__semigroup__add(__eqx_0) | class_Groups_Ocancel__semigroup__add(__eqy_0) )).
% 19.51/19.75 cnf(matrix-941, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__ab__semigroup__add(__eqx_0) | class_Groups_Ocancel__ab__semigroup__add(__eqy_0) )).
% 19.51/19.75 cnf(matrix-942, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__semigroup__add(__eqx_0) | class_Groups_Oab__semigroup__add(__eqy_0) )).
% 19.51/19.75 cnf(matrix-943, plain, ( ( __eqx_0 != __eqy_0) | ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(__eqx_0) | class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(__eqy_0) )).
% 19.51/19.75 cnf(matrix-944, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring(__eqx_0) | class_Rings_Ocomm__semiring(__eqy_0) )).
% 19.51/19.75 cnf(matrix-945, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring(__eqx_0) | class_Rings_Osemiring(__eqy_0) )).
% 19.51/19.75 cnf(matrix-946, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__semigroup__add__imp__le(__eqx_0) | class_Groups_Oordered__ab__semigroup__add__imp__le(__eqy_0) )).
% 19.51/19.75 cnf(matrix-947, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__semigroup__add(__eqx_0) | class_Groups_Oordered__ab__semigroup__add(__eqy_0) )).
% 19.51/19.75 cnf(matrix-948, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__cancel__ab__semigroup__add(__eqx_0) | class_Groups_Oordered__cancel__ab__semigroup__add(__eqy_0) )).
% 19.51/19.75 cnf(matrix-949, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ogroup__add(__eqx_0) | class_Groups_Ogroup__add(__eqy_0) )).
% 19.51/19.75 cnf(matrix-950, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring(__eqx_0) | class_Rings_Oring(__eqy_0) )).
% 19.51/19.75 cnf(matrix-951, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__ring(__eqx_0) | class_Rings_Oordered__ring(__eqy_0) )).
% 19.51/19.75 cnf(matrix-952, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__idom(__eqx_0) | class_Rings_Olinordered__idom(__eqy_0) )).
% 19.51/19.75 cnf(matrix-953, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ~c_Big__Operators_Ocomm__monoid__big(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) | c_Big__Operators_Ocomm__monoid__big(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4) )).
% 19.51/19.75 cnf(matrix-954, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocomm__monoid__add(__eqx_0) | class_Groups_Ocomm__monoid__add(__eqy_0) )).
% 19.51/19.75 cnf(matrix-955, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__1__strict(__eqx_0) | class_Rings_Olinordered__semiring__1__strict(__eqy_0) )).
% 19.51/19.75 cnf(matrix-956, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ozero(__eqx_0) | class_Groups_Ozero(__eqy_0) )).
% 19.51/19.75 cnf(matrix-957, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ono__zero__divisors(__eqx_0) | class_Rings_Ono__zero__divisors(__eqy_0) )).
% 19.51/19.75 cnf(matrix-958, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Omonoid__add(__eqx_0) | class_Groups_Omonoid__add(__eqy_0) )).
% 19.51/19.75 cnf(matrix-959, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Olinordered__ab__group__add(__eqx_0) | class_Groups_Olinordered__ab__group__add(__eqy_0) )).
% 19.51/19.75 cnf(matrix-960, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__no__zero__divisors(__eqx_0) | class_Rings_Oring__no__zero__divisors(__eqy_0) )).
% 19.51/19.75 cnf(matrix-961, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Omult__zero(__eqx_0) | class_Rings_Omult__zero(__eqy_0) )).
% 19.51/19.75 cnf(matrix-962, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ozero__neq__one(__eqx_0) | class_Rings_Ozero__neq__one(__eqy_0) )).
% 19.51/19.75 cnf(matrix-963, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__comm__monoid__add(__eqx_0) | class_Groups_Oordered__comm__monoid__add(__eqy_0) )).
% 19.51/19.75 cnf(matrix-964, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__cancel__semiring(__eqx_0) | class_Rings_Oordered__cancel__semiring(__eqy_0) )).
% 19.51/19.75 cnf(matrix-965, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__semiring(__eqx_0) | class_Rings_Oordered__semiring(__eqy_0) )).
% 19.51/19.75 cnf(matrix-966, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__comm__semiring(__eqx_0) | class_Rings_Oordered__comm__semiring(__eqy_0) )).
% 19.51/19.75 cnf(matrix-967, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__ring__strict(__eqx_0) | class_Rings_Olinordered__ring__strict(__eqy_0) )).
% 19.51/19.75 cnf(matrix-968, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__ring(__eqx_0) | class_Rings_Olinordered__ring(__eqy_0) )).
% 19.51/19.75 cnf(matrix-969, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__strict(__eqx_0) | class_Rings_Olinordered__semiring__strict(__eqy_0) )).
% 19.51/19.75 cnf(matrix-970, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__comm__semiring__strict(__eqx_0) | class_Rings_Olinordered__comm__semiring__strict(__eqy_0) )).
% 19.51/19.75 cnf(matrix-971, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring(__eqx_0) | class_Rings_Olinordered__semiring(__eqy_0) )).
% 19.51/19.75 cnf(matrix-972, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__1(__eqx_0) | class_Rings_Olinordered__semiring__1(__eqy_0) )).
% 19.51/19.75 cnf(matrix-973, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Ofield(__eqx_0) | class_Fields_Ofield(__eqy_0) )).
% 19.51/19.75 cnf(matrix-974, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odivision__ring(__eqx_0) | class_Rings_Odivision__ring(__eqy_0) )).
% 19.51/19.75 cnf(matrix-975, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odivision__ring__inverse__zero(__eqx_0) | class_Rings_Odivision__ring__inverse__zero(__eqy_0) )).
% 19.51/19.75 cnf(matrix-976, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__1(__eqx_0) | class_Rings_Oring__1(__eqy_0) )).
% 19.51/19.75 cnf(matrix-977, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Oring__char__0(__eqx_0) | class_Int_Oring__char__0(__eqy_0) )).
% 19.51/19.75 cnf(matrix-978, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Olinordered__field__inverse__zero(__eqx_0) | class_Fields_Olinordered__field__inverse__zero(__eqy_0) )).
% 19.51/19.75 cnf(matrix-979, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Olinordered__field(__eqx_0) | class_Fields_Olinordered__field(__eqy_0) )).
% 19.51/19.75 cnf(matrix-980, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Ofield__inverse__zero(__eqx_0) | class_Fields_Ofield__inverse__zero(__eqy_0) )).
% 19.51/19.75 cnf(matrix-981, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Onumber(__eqx_0) | class_Int_Onumber(__eqy_0) )).
% 19.51/19.75 cnf(matrix-982, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Onumber__ring(__eqx_0) | class_Int_Onumber__ring(__eqy_0) )).
% 19.51/19.75 cnf(matrix-983, plain, ( ( __eqx_0 != __eqy_0) | ~class_Nat_Osemiring__char__0(__eqx_0) | class_Nat_Osemiring__char__0(__eqy_0) )).
% 19.51/19.75 cnf(matrix-984, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring__1(__eqx_0) | class_Rings_Osemiring__1(__eqy_0) )).
% 19.51/19.75 cnf(matrix-985, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__group__add__abs(__eqx_0) | class_Groups_Oordered__ab__group__add__abs(__eqy_0) )).
% 19.51/19.75 cnf(matrix-986, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__ring__abs(__eqx_0) | class_Rings_Oordered__ring__abs(__eqy_0) )).
% 19.51/19.75 cnf(matrix-987, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Oboolean__algebra(__eqx_0) | class_Lattices_Oboolean__algebra(__eqy_0) )).
% 19.51/19.75 cnf(matrix-988, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ouminus(__eqx_0) | class_Groups_Ouminus(__eqy_0) )).
% 19.51/19.75 cnf(matrix-989, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oidom(__eqx_0) | class_Rings_Oidom(__eqy_0) )).
% 19.51/19.75 cnf(matrix-990, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__ring__1(__eqx_0) | class_Rings_Ocomm__ring__1(__eqy_0) )).
% 19.51/19.75 cnf(matrix-991, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__1__no__zero__divisors(__eqx_0) | class_Rings_Oring__1__no__zero__divisors(__eqy_0) )).
% 19.51/19.75 cnf(matrix-992, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oabs__if(__eqx_0) | class_Groups_Oabs__if(__eqy_0) )).
% 19.51/19.75 cnf(matrix-993, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Int_Oiszero(__eqx_0, __eqx_1) | c_Int_Oiszero(__eqy_0, __eqy_1) )).
% 19.51/19.75 cnf(matrix-994, plain, ( ( __eqx_0 != __eqy_0) | ~class_Divides_Osemiring__div(__eqx_0) | class_Divides_Osemiring__div(__eqy_0) )).
% 19.51/19.75 cnf(matrix-995, plain, ( ( __eqx_0 != __eqy_0) | ~class_Divides_Oring__div(__eqx_0) | class_Divides_Oring__div(__eqy_0) )).
% 19.51/19.75 cnf(matrix-996, plain, ( ( __eqx_0 != __eqy_0) | ~class_Power_Opower(__eqx_0) | class_Power_Opower(__eqy_0) )).
% 19.51/19.75 cnf(matrix-997, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring__0(__eqx_0) | class_Rings_Osemiring__0(__eqy_0) )).
% 19.51/19.75 cnf(matrix-998, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Nat__Transfer_Otransfer__morphism(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Nat__Transfer_Otransfer__morphism(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 19.51/19.75 cnf(matrix-999, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Osgn__if(__eqx_0) | class_Groups_Osgn__if(__eqy_0) )).
% 19.51/19.75 cnf(matrix-1000, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Otop(__eqx_0) | class_Orderings_Otop(__eqy_0) )).
% 19.51/19.75 cnf(matrix-1001, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice__top(__eqx_0) | class_Lattices_Obounded__lattice__top(__eqy_0) )).
% 19.51/19.75 cnf(matrix-1002, plain, ( ( __eqx_0 != __eqy_0) | ~c_Nat__Transfer_Ois__nat(__eqx_0) | c_Nat__Transfer_Ois__nat(__eqy_0) )).
% 19.51/19.75 cnf(matrix-1003, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Nitpick_Orefl_H(__eqx_0, __eqx_1) | c_Nitpick_Orefl_H(__eqy_0, __eqy_1) )).
% 19.51/19.75 cnf(matrix-1004, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Wellfounded_Omax__extp(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Wellfounded_Omax__extp(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 19.51/19.75 cnf(matrix-1005, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_FunDef_Oreduction__pair(__eqx_0, __eqx_1) | c_FunDef_Oreduction__pair(__eqy_0, __eqy_1) )).
% 19.51/19.75 cnf(matrix-1006, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Oirrefl(__eqx_0, __eqx_1) | c_Relation_Oirrefl(__eqy_0, __eqy_1) )).
% 19.51/19.75 cnf(matrix-1007, plain, ( ( __eqx_0 != __eqy_0) | ~c_Nat__Transfer_Onat__set(__eqx_0) | c_Nat__Transfer_Onat__set(__eqy_0) )).
% 19.51/19.75 cnf(matrix-1008, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Equiv__Relations_Oequiv(__eqx_0, __eqx_1, __eqx_2) | c_Equiv__Relations_Oequiv(__eqy_0, __eqy_1, __eqy_2) )).
% 19.51/19.75 cnf(matrix-1009, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ~c_Equiv__Relations_Ocongruent2(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) | c_Equiv__Relations_Ocongruent2(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5) )).
% 19.51/19.75 cnf(matrix-1010, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Equiv__Relations_Ocongruent(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Equiv__Relations_Ocongruent(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 19.51/19.75 cnf(matrix-1011, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Equiv__Relations_Oequivp(__eqx_0, __eqx_1) | c_Equiv__Relations_Oequivp(__eqy_0, __eqy_1) )).
% 19.51/19.75 cnf(matrix-1012, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Fun_Oinj__on(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Fun_Oinj__on(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 19.51/19.75 cnf(matrix-1013, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ~c_Typedef_Otype__definition(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) | c_Typedef_Otype__definition(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4) )).
% 19.51/19.75 cnf(matrix-1014, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Relation_Orefl__on(__eqx_0, __eqx_1, __eqx_2) | c_Relation_Orefl__on(__eqy_0, __eqy_1, __eqy_2) )).
% 19.51/19.75 cnf(matrix-1015, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Olinordered__ab__semigroup__add(__eqx_0) | class_Groups_Olinordered__ab__semigroup__add(__eqy_0) )).
% 19.51/19.75 cnf(matrix-1016, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Predicate_Oreflp(__eqx_0, __eqx_1) | c_Predicate_Oreflp(__eqy_0, __eqy_1) )).
% 19.51/19.75 cnf(matrix-1017, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_Owf(__eqx_0, __eqx_1) | c_Wellfounded_Owf(__eqy_0, __eqy_1) )).
% 19.51/19.75 cnf(matrix-1018, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Owellorder(__eqx_0) | class_Orderings_Owellorder(__eqy_0) )).
% 19.51/19.75 cnf(matrix-1019, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_OwfP(__eqx_0, __eqx_1) | c_Wellfounded_OwfP(__eqy_0, __eqy_1) )).
% 19.51/19.75 cnf(matrix-1020, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_Oacyclic(__eqx_0, __eqx_1) | c_Wellfounded_Oacyclic(__eqy_0, __eqy_1) )).
% 19.51/19.75 cnf(matrix-1021, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Nitpick_Owf_H(__eqx_0, __eqx_1) | c_Nitpick_Owf_H(__eqy_0, __eqy_1) )).
% 19.51/19.75 cnf(matrix-1022, plain, ( ( __eqx_0 != __eqy_0) | ~c_Nitpick_Ounknown(__eqx_0) | c_Nitpick_Ounknown(__eqy_0) )).
% 19.51/19.75 cnf(matrix-1023, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Finite__Set_Ofolding(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Finite__Set_Ofolding(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 19.51/19.75 cnf(matrix-1024, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ~c_Finite__Set_Ofolding__image(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) | c_Finite__Set_Ofolding__image(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4) )).
% 19.51/19.75 cnf(matrix-1025, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Finite__Set_Ofolding__idem(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Finite__Set_Ofolding__idem(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 19.51/19.75 cnf(matrix-1026, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Relation_Ototal__on(__eqx_0, __eqx_1, __eqx_2) | c_Relation_Ototal__on(__eqy_0, __eqy_1, __eqy_2) )).
% 19.51/19.75 cnf(matrix-1027, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Relation_Osingle__valued(__eqx_0, __eqx_1, __eqx_2) | c_Relation_Osingle__valued(__eqy_0, __eqy_1, __eqy_2) )).
% 19.51/19.75 cnf(matrix-1028, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oinverse(__eqx_0) | class_Rings_Oinverse(__eqy_0) )).
% 19.51/19.75 cnf(matrix-1029, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Nitpick_Oless__frac(__eqx_0, __eqx_1, __eqx_2) | c_Nitpick_Oless__frac(__eqy_0, __eqy_1, __eqy_2) )).
% 19.51/19.75 cnf(matrix-1030, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Nitpick_Oless__eq__frac(__eqx_0, __eqx_1, __eqx_2) | c_Nitpick_Oless__eq__frac(__eqy_0, __eqy_1, __eqy_2) )).
% 19.51/19.75 cnf(matrix-1031, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_List_Olistrelp(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_List_Olistrelp(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 19.51/19.75 cnf(matrix-1032, plain, ( ( __eqx_0 != __eqy_0) | ~c_List_Onat__list(__eqx_0) | c_List_Onat__list(__eqy_0) )).
% 19.51/19.75 cnf(matrix-1033, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Osemigroup__add(__eqx_0) | class_Groups_Osemigroup__add(__eqy_0) )).
% 19.51/19.75 cnf(matrix-1034, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ~c_List_Olist__all2(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) | c_List_Olist__all2(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4) )).
% 19.51/19.75 cnf(matrix-1035, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_List_Olinorder__class_Osorted(__eqx_0, __eqx_1) | c_List_Olinorder__class_Osorted(__eqy_0, __eqy_1) )).
% 19.51/19.75 cnf(matrix-1036, plain, ( ( __eqx_0 != __eqy_0) | ~class_Enum_Oenum(__eqx_0) | class_Enum_Oenum(__eqy_0) )).
% 19.51/19.75 cnf(matrix-1037, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_List_Olist__ex(__eqx_0, __eqx_1, __eqx_2) | c_List_Olist__ex(__eqy_0, __eqy_1, __eqy_2) )).
% 19.51/19.75 cnf(matrix-1038, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_List_Olist__all(__eqx_0, __eqx_1, __eqx_2) | c_List_Olist__all(__eqy_0, __eqy_1, __eqy_2) )).
% 19.51/19.75 cnf(matrix-1039, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_FunDef_Ois__measure(__eqx_0, __eqx_1) | c_FunDef_Ois__measure(__eqy_0, __eqy_1) )).
% 19.51/19.75 cnf(matrix-1040, plain, ( ( __eqx_0 != __eqy_0) | ~class_Nat_Osize(__eqx_0) | class_Nat_Osize(__eqy_0) )).
% 19.51/19.75 cnf(matrix-1041, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_List_Olist__ex1(__eqx_0, __eqx_1, __eqx_2) | c_List_Olist__ex1(__eqy_0, __eqy_1, __eqy_2) )).
% 19.51/19.75 cnf(matrix-1042, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lazy__Sequence_Osmall__lazy(__eqx_0) | class_Lazy__Sequence_Osmall__lazy(__eqy_0) )).
% 19.51/19.75 cnf(matrix-1043, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_List_Oall__interval__int(__eqx_0, __eqx_1, __eqx_2) | c_List_Oall__interval__int(__eqy_0, __eqy_1, __eqy_2) )).
% 19.51/19.75 cnf(matrix-1044, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Otrans(__eqx_0, __eqx_1) | c_Relation_Otrans(__eqy_0, __eqy_1) )).
% 19.51/19.75 cnf(matrix-1045, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Predicate_Otransp(__eqx_0, __eqx_1) | c_Predicate_Otransp(__eqy_0, __eqy_1) )).
% 19.51/19.75 cnf(matrix-1046, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Oantisym(__eqx_0, __eqx_1) | c_Relation_Oantisym(__eqy_0, __eqy_1) )).
% 19.51/19.75 cnf(matrix-1047, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Predicate_Osymp(__eqx_0, __eqx_1) | c_Predicate_Osymp(__eqy_0, __eqy_1) )).
% 19.51/19.75 cnf(matrix-1048, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Osym(__eqx_0, __eqx_1) | c_Relation_Osym(__eqy_0, __eqy_1) )).
% 19.51/19.75 cnf(matrix-1049, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Equiv__Relations_Opart__equivp(__eqx_0, __eqx_1) | c_Equiv__Relations_Opart__equivp(__eqy_0, __eqy_1) )).
% 19.51/19.75 cnf(matrix-1050, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ~c_Fun_Obij__betw(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) | c_Fun_Obij__betw(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4) )).
% 19.51/19.75 cnf(matrix-1051, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_List_Oall__interval__nat(__eqx_0, __eqx_1, __eqx_2) | c_List_Oall__interval__nat(__eqy_0, __eqy_1, __eqy_2) )).
% 19.51/19.75 cnf(matrix-1052, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__ring(__eqx_0) | class_Rings_Ocomm__ring(__eqy_0) )).
% 19.51/19.75 cnf(matrix-1053, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odvd(__eqx_0) | class_Rings_Odvd(__eqy_0) )).
% 19.51/19.75 cnf(matrix-1054, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice(__eqx_0) | class_Lattices_Obounded__lattice(__eqy_0) )).
% 19.51/19.75 cnf(matrix-1055, plain, ( ( hAPP(_u1, skolem1(_u2, _u1)) != hAPP(_u2, skolem1(_u2, _u1))) | ( _u1 = _u2) )).
% 19.51/19.75 cnf(matrix-1056, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u3, _u4, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u3), tc_HOL_Obool))) )).
% 19.51/19.75 cnf(matrix-1057, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u5, _u6, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u5), tc_HOL_Obool))) )).
% 19.51/19.75 cnf(matrix-1058, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u7, _u8, _u9) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u7, _u10, _u8) | c_Hoare__Mirabelle_Ohoare__derivs(_u7, _u10, _u9) )).
% 19.51/19.75 cnf(matrix-1059, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u11, _u12, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u11)), _u13), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u11), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u11, _u12, _u14) | c_Hoare__Mirabelle_Ohoare__derivs(_u11, _u12, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u11)), _u13), _u14)) )).
% 19.51/19.75 cnf(matrix-1060, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u15, _u16, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u15)), _u17), _u18)) | c_Hoare__Mirabelle_Ohoare__derivs(_u15, _u16, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u15)), _u17), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u15), tc_HOL_Obool)))) )).
% 19.51/19.75 cnf(matrix-1061, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u15, _u16, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u15)), _u17), _u18)) | c_Hoare__Mirabelle_Ohoare__derivs(_u15, _u16, _u18) )).
% 19.51/19.75 cnf(matrix-1062, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u19, tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(_u19), _u20), _u21)) )).
% 19.51/19.75 cnf(matrix-1063, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u22), _u23), _u24) != c_Orderings_Obot__class_Obot(tc_fun(_u22, tc_HOL_Obool))) )).
% 19.51/19.75 cnf(matrix-1064, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u30), _u32), hAPP(hAPP(c_Set_Oinsert(_u30), _u34), c_Orderings_Obot__class_Obot(tc_fun(_u30, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u30), _u36), hAPP(hAPP(c_Set_Oinsert(_u30), _u38), c_Orderings_Obot__class_Obot(tc_fun(_u30, tc_HOL_Obool))))) | ( _u32 = _u36) | ( _u32 = _u38) )).
% 19.51/19.75 cnf(matrix-1065, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u30), _u32), hAPP(hAPP(c_Set_Oinsert(_u30), _u34), c_Orderings_Obot__class_Obot(tc_fun(_u30, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u30), _u36), hAPP(hAPP(c_Set_Oinsert(_u30), _u38), c_Orderings_Obot__class_Obot(tc_fun(_u30, tc_HOL_Obool))))) | ( _u32 = _u36) | ( _u34 = _u36) )).
% 19.51/19.75 cnf(matrix-1066, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u30), _u32), hAPP(hAPP(c_Set_Oinsert(_u30), _u34), c_Orderings_Obot__class_Obot(tc_fun(_u30, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u30), _u36), hAPP(hAPP(c_Set_Oinsert(_u30), _u38), c_Orderings_Obot__class_Obot(tc_fun(_u30, tc_HOL_Obool))))) | ( _u34 = _u38) | ( _u32 = _u38) )).
% 19.51/19.75 cnf(matrix-1067, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u30), _u32), hAPP(hAPP(c_Set_Oinsert(_u30), _u34), c_Orderings_Obot__class_Obot(tc_fun(_u30, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u30), _u36), hAPP(hAPP(c_Set_Oinsert(_u30), _u38), c_Orderings_Obot__class_Obot(tc_fun(_u30, tc_HOL_Obool))))) | ( _u34 = _u38) | ( _u34 = _u36) )).
% 19.51/19.75 cnf(matrix-1068, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u31), _u33), hAPP(hAPP(c_Set_Oinsert(_u31), _u35), c_Orderings_Obot__class_Obot(tc_fun(_u31, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u31), _u37), hAPP(hAPP(c_Set_Oinsert(_u31), _u39), c_Orderings_Obot__class_Obot(tc_fun(_u31, tc_HOL_Obool))))) | ( _u33 != _u37) | ( _u35 != _u39) )).
% 19.51/19.75 cnf(matrix-1069, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u31), _u33), hAPP(hAPP(c_Set_Oinsert(_u31), _u35), c_Orderings_Obot__class_Obot(tc_fun(_u31, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u31), _u37), hAPP(hAPP(c_Set_Oinsert(_u31), _u39), c_Orderings_Obot__class_Obot(tc_fun(_u31, tc_HOL_Obool))))) | ( _u33 != _u39) | ( _u35 != _u37) )).
% 19.51/19.75 cnf(matrix-1070, plain, ( ( _u41 = _u42) | ( hAPP(hAPP(c_Set_Oinsert(_u40), _u41), c_Orderings_Obot__class_Obot(tc_fun(_u40, tc_HOL_Obool))) != hAPP(hAPP(c_Set_Oinsert(_u40), _u42), c_Orderings_Obot__class_Obot(tc_fun(_u40, tc_HOL_Obool)))) )).
% 19.51/19.75 cnf(matrix-1071, plain, ( ~class_Orderings_Obot(_u43) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u44, _u43)), _u45) = c_Orderings_Obot__class_Obot(_u43)) )).
% 19.51/19.75 cnf(matrix-1072, plain, ( ( c_Set_Othe__elem(_u46, hAPP(hAPP(c_Set_Oinsert(_u46), _u47), c_Orderings_Obot__class_Obot(tc_fun(_u46, tc_HOL_Obool)))) = _u47) )).
% 19.51/19.75 cnf(matrix-1073, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u48), _u49), hAPP(hAPP(c_Set_Oinsert(_u48), _u49), _u50)) = hAPP(hAPP(c_Set_Oinsert(_u48), _u49), _u50)) )).
% 19.51/19.75 cnf(matrix-1074, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u51), _u52), hAPP(hAPP(c_Set_Oinsert(_u51), _u53), _u54)) = hAPP(hAPP(c_Set_Oinsert(_u51), _u53), hAPP(hAPP(c_Set_Oinsert(_u51), _u52), _u54))) )).
% 19.51/19.75 cnf(matrix-1075, plain, ( ( _u61 = _u65) | hBOOL(hAPP(_u63, _u65)) | ~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u59), _u61), _u63), _u65)) )).
% 19.51/19.75 cnf(matrix-1076, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u60), _u62), _u64), _u66)) | ( _u62 != _u66) )).
% 19.51/19.75 cnf(matrix-1077, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u60), _u62), _u64), _u66)) | ~hBOOL(hAPP(_u64, _u66)) )).
% 19.51/19.75 cnf(matrix-1078, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u67, _u68, _u69) | c_Hoare__Mirabelle_Ohoare__valids(_u67, _u68, _u69) )).
% 19.51/19.75 cnf(matrix-1079, plain, ( ( _u78 = _u80) | ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u74, _u76, hAPP(hAPP(c_Set_Oinsert(_u74), _u78), c_Orderings_Obot__class_Obot(tc_fun(_u74, tc_HOL_Obool)))), _u80)) )).
% 19.51/19.75 cnf(matrix-1080, plain, ( ( _u79 != _u81) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u75, _u77, hAPP(hAPP(c_Set_Oinsert(_u75), _u79), c_Orderings_Obot__class_Obot(tc_fun(_u75, tc_HOL_Obool)))), _u81)) )).
% 19.51/19.75 cnf(matrix-1081, plain, ( ~c_Finite__Set_Ofolding__one(_u82, _u83, _u84) | ( hAPP(_u84, hAPP(hAPP(c_Set_Oinsert(_u82), _u85), c_Orderings_Obot__class_Obot(tc_fun(_u82, tc_HOL_Obool)))) = _u85) )).
% 19.51/19.75 cnf(matrix-1082, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u86, _u87, _u88), _u89)) | ( _u88 != c_Orderings_Obot__class_Obot(tc_fun(_u86, tc_HOL_Obool))) )).
% 19.51/19.75 cnf(matrix-1083, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u90, _u91, c_Orderings_Obot__class_Obot(tc_fun(_u90, tc_HOL_Obool))), _u92)) )).
% 19.51/19.75 cnf(matrix-1084, plain, ( ( _u93 != c_Finite__Set_Ofold1(_u94, _u95)) | ( hAPP(_u93, hAPP(hAPP(c_Set_Oinsert(_u94), _u96), c_Orderings_Obot__class_Obot(tc_fun(_u94, tc_HOL_Obool)))) = _u96) )).
% 19.51/19.75 cnf(matrix-1085, plain, ( ( hAPP(c_Finite__Set_Ofold1(_u97, _u98), hAPP(hAPP(c_Set_Oinsert(_u97), _u99), c_Orderings_Obot__class_Obot(tc_fun(_u97, tc_HOL_Obool)))) = _u99) )).
% 19.51/19.75 cnf(matrix-1086, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u100, tc_HOL_Obool)), _u101), hAPP(hAPP(c_Set_Oinsert(_u100), _u102), c_Orderings_Obot__class_Obot(tc_fun(_u100, tc_HOL_Obool))))) | ( _u101 = c_Orderings_Obot__class_Obot(tc_fun(_u100, tc_HOL_Obool))) | ( _u101 = hAPP(hAPP(c_Set_Oinsert(_u100), _u102), c_Orderings_Obot__class_Obot(tc_fun(_u100, tc_HOL_Obool)))) )).
% 19.51/19.75 cnf(matrix-1087, plain, ( ( _u104 = _u105) | ~hBOOL(hAPP(hAPP(c_member(_u103), _u104), hAPP(hAPP(c_Set_Oinsert(_u103), _u105), c_Orderings_Obot__class_Obot(tc_fun(_u103, tc_HOL_Obool))))) )).
% 19.51/19.75 cnf(matrix-1088, plain, ( ( _u111 = _u113) | ~hBOOL(hAPP(hAPP(c_member(_u109), _u111), hAPP(hAPP(c_Set_Oinsert(_u109), _u113), c_Orderings_Obot__class_Obot(tc_fun(_u109, tc_HOL_Obool))))) )).
% 19.51/19.75 cnf(matrix-1089, plain, ( ( _u112 != _u114) | hBOOL(hAPP(hAPP(c_member(_u110), _u112), hAPP(hAPP(c_Set_Oinsert(_u110), _u114), c_Orderings_Obot__class_Obot(tc_fun(_u110, tc_HOL_Obool))))) )).
% 19.51/19.75 cnf(matrix-1090, plain, ( ( hAPP(_u120, c_Orderings_Obot__class_Obot(tc_fun(_u116, tc_HOL_Obool))) = _u118) | ~c_Finite__Set_Ofolding__image__simple(_u115, _u116, _u117, _u118, _u119, _u120) )).
% 19.51/19.75 cnf(matrix-1091, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u121), _u122), _u123) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u121, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u121), _u122), c_Orderings_Obot__class_Obot(tc_fun(_u121, tc_HOL_Obool)))), _u123)) )).
% 19.51/19.75 cnf(matrix-1092, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u124), _u125), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u124, tc_HOL_Obool)), _u126), hAPP(hAPP(c_Set_Oinsert(_u124), _u125), c_Orderings_Obot__class_Obot(tc_fun(_u124, tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(_u124), _u125), _u126)) )).
% 19.51/19.75 cnf(matrix-1093, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u127, tc_HOL_Obool)), _u128), hAPP(hAPP(c_Set_Oinsert(_u127), _u129), _u130)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u127, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u127, tc_HOL_Obool)), _u128), hAPP(hAPP(c_Set_Oinsert(_u127), _u129), c_Orderings_Obot__class_Obot(tc_fun(_u127, tc_HOL_Obool))))), _u130)) )).
% 19.51/19.75 cnf(matrix-1094, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u131, tc_HOL_Obool)), _u132), hAPP(hAPP(c_Set_Oinsert(_u131), _u133), _u134)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u131, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u131, tc_HOL_Obool)), _u132), _u134)), hAPP(hAPP(c_Set_Oinsert(_u131), _u133), c_Orderings_Obot__class_Obot(tc_fun(_u131, tc_HOL_Obool))))) )).
% 19.51/19.75 cnf(matrix-1095, plain, ( ( hAPP(hAPP(_u137, _u140), _u140) = _u140) | ~c_Finite__Set_Ofolding__image__idem(_u135, _u136, _u137, _u138, _u139) )).
% 19.51/19.75 cnf(matrix-1096, plain, ( c_Finite__Set_Ofun__left__comm__idem(_u141, tc_fun(_u141, tc_HOL_Obool), c_Set_Oinsert(_u141)) )).
% 19.51/19.75 cnf(matrix-1097, plain, ( ~class_Orderings_Opreorder(_u142) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u142), _u143), _u143)) )).
% 19.51/19.75 cnf(matrix-1098, plain, ( ( _u144 != _u145) | hBOOL(hAPP(hAPP(c_member(_u146), _u147), _u144)) | ~hBOOL(hAPP(hAPP(c_member(_u146), _u147), _u145)) )).
% 19.51/19.75 cnf(matrix-1099, plain, ( ( _u144 != _u145) | hBOOL(hAPP(hAPP(c_member(_u146), _u147), _u145)) | ~hBOOL(hAPP(hAPP(c_member(_u146), _u147), _u144)) )).
% 19.51/19.75 cnf(matrix-1100, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u148, tc_HOL_Obool)), _u149), _u150)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u148, tc_HOL_Obool)), _u150), _u149)) | ( _u149 = _u150) )).
% 19.51/19.75 cnf(matrix-1101, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u151), _u152), c_Orderings_Obot__class_Obot(tc_fun(_u151, tc_HOL_Obool)))) )).
% 19.51/19.75 cnf(matrix-1102, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u153), _u154), hAPP(hAPP(c_Set_Oinsert(_u153), _u155), _u156))) | ( _u154 = _u155) | hBOOL(hAPP(hAPP(c_member(_u153), _u154), _u156)) )).
% 19.51/19.75 cnf(matrix-1103, plain, ( hBOOL(hAPP(hAPP(c_member(_u157), _u158), hAPP(hAPP(c_Set_Oinsert(_u157), _u160), _u159))) | ~hBOOL(hAPP(hAPP(c_member(_u157), _u158), _u159)) )).
% 19.51/19.75 cnf(matrix-1104, plain, ( hBOOL(hAPP(hAPP(c_member(_u157), _u158), hAPP(hAPP(c_Set_Oinsert(_u157), _u160), _u159))) | ( _u158 != _u160) )).
% 19.51/19.75 cnf(matrix-1105, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u161, tc_HOL_Obool)), _u162), _u163)) | ~hBOOL(hAPP(hAPP(c_member(_u161), _u164), _u162)) | hBOOL(hAPP(hAPP(c_member(_u161), _u164), _u163)) )).
% 19.51/19.75 cnf(matrix-1106, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u165), _u166), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u165, tc_HOL_Obool)), _u167), _u168))) | hBOOL(hAPP(hAPP(c_member(_u165), _u166), _u167)) | hBOOL(hAPP(hAPP(c_member(_u165), _u166), _u168)) )).
% 19.51/19.75 cnf(matrix-1107, plain, ( hBOOL(hAPP(hAPP(c_member(_u169), _u170), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u169, tc_HOL_Obool)), _u172), _u171))) | ~hBOOL(hAPP(hAPP(c_member(_u169), _u170), _u171)) )).
% 19.51/19.75 cnf(matrix-1108, plain, ( hBOOL(hAPP(hAPP(c_member(_u169), _u170), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u169, tc_HOL_Obool)), _u172), _u171))) | ~hBOOL(hAPP(hAPP(c_member(_u169), _u170), _u172)) )).
% 19.51/19.75 cnf(matrix-1109, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u173, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u173, tc_HOL_Obool))), _u174)) )).
% 19.51/19.75 cnf(matrix-1110, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u175), _u176), _u177)) | hBOOL(hAPP(hAPP(c_member(_u175), _u176), _u178)) | hBOOL(hAPP(hAPP(c_member(_u175), _u176), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u175, tc_HOL_Obool)), _u177), _u178))) )).
% 19.51/19.75 cnf(matrix-1111, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u179), _u180), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u179, tc_HOL_Obool)), _u181), _u182))) | hBOOL(hAPP(hAPP(c_member(_u179), _u180), _u181)) )).
% 19.51/19.75 cnf(matrix-1112, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u179), _u180), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u179, tc_HOL_Obool)), _u181), _u182))) | ~hBOOL(hAPP(hAPP(c_member(_u179), _u180), _u182)) )).
% 19.51/19.75 cnf(matrix-1113, plain, ( ~class_Lattices_Osemilattice__sup(_u183) | c_Finite__Set_Ofun__left__comm__idem(_u183, _u183, c_Lattices_Osemilattice__sup__class_Osup(_u183)) )).
% 19.51/19.75 cnf(matrix-1114, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u184, tc_HOL_Obool)), _u185), _u185)) )).
% 19.51/19.75 cnf(matrix-1115, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u186, tc_HOL_Obool)), _u187), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u186, tc_HOL_Obool)), _u187), _u188))) )).
% 19.51/19.75 cnf(matrix-1116, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u189, tc_HOL_Obool)), _u190), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u189, tc_HOL_Obool)), _u191), _u190))) )).
% 19.51/19.75 cnf(matrix-1117, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u192, tc_HOL_Obool)), _u193), _u193) = _u193) )).
% 19.51/19.75 cnf(matrix-1118, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u194, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u194, tc_HOL_Obool)), _u195), _u196)), _u195)) )).
% 19.51/19.75 cnf(matrix-1119, plain, ( ~class_Orderings_Oord(_u199) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u200, _u199)), _u201), _u202)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u199), hAPP(_u201, _u197)), hAPP(_u202, _u197))) )).
% 19.51/19.75 cnf(matrix-1120, plain, ( ~class_Orderings_Oord(_u199) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u199), hAPP(_u201, skolem2(_u202, _u201, _u200, _u199))), hAPP(_u202, skolem2(_u202, _u201, _u200, _u199)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u200, _u199)), _u201), _u202)) )).
% 19.51/19.75 cnf(matrix-1121, plain, ( hBOOL(hAPP(_u210, _u208)) | ~hBOOL(hAPP(hAPP(c_member(_u206), _u208), _u210)) )).
% 19.51/19.75 cnf(matrix-1122, plain, ( ~hBOOL(hAPP(_u211, _u209)) | hBOOL(hAPP(hAPP(c_member(_u207), _u209), _u211)) )).
% 19.51/19.75 cnf(matrix-1123, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u212, tc_HOL_Obool)), _u213), _u214) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u212, tc_HOL_Obool)), _u214), _u213)) )).
% 19.51/19.75 cnf(matrix-1124, plain, ( ~class_Orderings_Olinorder(_u215) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u215), _u216), _u217)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u215), _u217), _u216)) )).
% 19.51/19.75 cnf(matrix-1125, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u221, tc_HOL_Obool)), _u223), _u225)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u221, tc_HOL_Obool)), _u223), _u225) = _u225) )).
% 19.51/19.75 cnf(matrix-1126, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u222, tc_HOL_Obool)), _u224), _u226) != _u226) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u222, tc_HOL_Obool)), _u224), _u226)) )).
% 19.51/19.75 cnf(matrix-1127, plain, ( ( _u230 != _u232) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u234, tc_HOL_Obool)), _u230), _u232)) )).
% 19.51/19.75 cnf(matrix-1128, plain, ( ( _u230 != _u232) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u234, tc_HOL_Obool)), _u232), _u230)) )).
% 19.51/19.75 cnf(matrix-1129, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u235, tc_HOL_Obool)), _u231), _u233)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u235, tc_HOL_Obool)), _u233), _u231)) | ( _u231 = _u233) )).
% 19.51/19.75 cnf(matrix-1130, plain, ( ~class_Orderings_Oorder(_u236) | ( _u237 != _u238) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u236), _u237), _u238)) )).
% 19.51/19.75 cnf(matrix-1131, plain, ( ~class_Orderings_Oorder(_u236) | ( _u237 != _u238) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u236), _u238), _u237)) )).
% 19.51/19.75 cnf(matrix-1132, plain, ( ~class_Orderings_Oorder(_u236) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u236), _u237), _u238)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u236), _u238), _u237)) | ( _u237 = _u238) )).
% 19.51/19.75 cnf(matrix-1133, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u239, tc_HOL_Obool)), _u240), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u239, tc_HOL_Obool)), _u241), _u240)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u239, tc_HOL_Obool)), _u240), _u241)) )).
% 19.51/19.75 cnf(matrix-1134, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u242, tc_HOL_Obool)), _u243), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u242, tc_HOL_Obool)), _u243), _u244)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u242, tc_HOL_Obool)), _u243), _u244)) )).
% 19.51/19.75 cnf(matrix-1135, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u245, tc_HOL_Obool)), _u246), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u245, tc_HOL_Obool)), _u247), _u248)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u245, tc_HOL_Obool)), _u247), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u245, tc_HOL_Obool)), _u246), _u248))) )).
% 19.51/19.75 cnf(matrix-1136, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u253), _u255), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u253, tc_HOL_Obool)), _u257), _u259))) | hBOOL(hAPP(hAPP(c_member(_u253), _u255), _u257)) )).
% 19.51/19.75 cnf(matrix-1137, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u253), _u255), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u253, tc_HOL_Obool)), _u257), _u259))) | ~hBOOL(hAPP(hAPP(c_member(_u253), _u255), _u259)) )).
% 19.51/19.75 cnf(matrix-1138, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u254), _u256), _u258)) | hBOOL(hAPP(hAPP(c_member(_u254), _u256), _u260)) | hBOOL(hAPP(hAPP(c_member(_u254), _u256), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u254, tc_HOL_Obool)), _u258), _u260))) )).
% 19.51/19.75 cnf(matrix-1139, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u265), _u267), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u265, tc_HOL_Obool)), _u269), _u271))) | hBOOL(hAPP(hAPP(c_member(_u265), _u267), _u269)) | hBOOL(hAPP(hAPP(c_member(_u265), _u267), _u271)) )).
% 19.51/19.75 cnf(matrix-1140, plain, ( hBOOL(hAPP(hAPP(c_member(_u266), _u268), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u266, tc_HOL_Obool)), _u270), _u272))) | ~hBOOL(hAPP(hAPP(c_member(_u266), _u268), _u270)) )).
% 19.51/19.75 cnf(matrix-1141, plain, ( hBOOL(hAPP(hAPP(c_member(_u266), _u268), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u266, tc_HOL_Obool)), _u270), _u272))) | ~hBOOL(hAPP(hAPP(c_member(_u266), _u268), _u272)) )).
% 19.51/19.75 cnf(matrix-1142, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u273, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u273, tc_HOL_Obool)), _u274), _u275)), _u275) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u273, tc_HOL_Obool)), _u274), _u275)) )).
% 19.51/19.75 cnf(matrix-1143, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u276, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u276, tc_HOL_Obool)), _u277), _u278)), _u278) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u276, tc_HOL_Obool)), _u277), _u278)) )).
% 19.51/19.75 cnf(matrix-1144, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u283, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u283, tc_HOL_Obool)), _u285), _u287)), _u289)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u283, tc_HOL_Obool)), _u285), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u283, tc_HOL_Obool)), _u287), _u289))) )).
% 19.51/19.75 cnf(matrix-1145, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u284, tc_HOL_Obool)), _u286), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u284, tc_HOL_Obool)), _u288), _u290))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u284, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u284, tc_HOL_Obool)), _u286), _u288)), _u290)) )).
% 19.51/19.75 cnf(matrix-1146, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u291, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u291, tc_HOL_Obool)), _u292), _u293)), _u294) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u291, tc_HOL_Obool)), _u292), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u291, tc_HOL_Obool)), _u293), _u294))) )).
% 19.51/19.75 cnf(matrix-1147, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u295, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u295, tc_HOL_Obool)), _u296), _u297)), _u298) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u295, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u295, tc_HOL_Obool)), _u296), _u298)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u295, tc_HOL_Obool)), _u297), _u298))) )).
% 19.51/19.75 cnf(matrix-1148, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u309), _u299), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u309, tc_HOL_Obool)), _u311), _u313))) | ~hBOOL(hAPP(_u315, _u299)) | hBOOL(hAPP(hAPP(c_member(_u309), skolem3(_u315, _u313, _u311, _u309)), _u311)) | hBOOL(hAPP(hAPP(c_member(_u309), skolem4(_u315, _u313, _u311, _u309)), _u313)) )).
% 19.51/19.75 cnf(matrix-1149, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u309), _u299), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u309, tc_HOL_Obool)), _u311), _u313))) | ~hBOOL(hAPP(_u315, _u299)) | hBOOL(hAPP(hAPP(c_member(_u309), skolem3(_u315, _u313, _u311, _u309)), _u311)) | hBOOL(hAPP(_u315, skolem4(_u315, _u313, _u311, _u309))) )).
% 19.51/19.75 cnf(matrix-1150, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u309), _u299), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u309, tc_HOL_Obool)), _u311), _u313))) | ~hBOOL(hAPP(_u315, _u299)) | hBOOL(hAPP(_u315, skolem3(_u315, _u313, _u311, _u309))) | hBOOL(hAPP(hAPP(c_member(_u309), skolem4(_u315, _u313, _u311, _u309)), _u313)) )).
% 19.51/19.75 cnf(matrix-1151, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u309), _u299), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u309, tc_HOL_Obool)), _u311), _u313))) | ~hBOOL(hAPP(_u315, _u299)) | hBOOL(hAPP(_u315, skolem3(_u315, _u313, _u311, _u309))) | hBOOL(hAPP(_u315, skolem4(_u315, _u313, _u311, _u309))) )).
% 19.51/19.75 cnf(matrix-1152, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u310), _u302), _u312)) | ~hBOOL(hAPP(_u316, _u302)) | hBOOL(hAPP(hAPP(c_member(_u310), skolem5(_u316, _u314, _u312, _u310)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u310, tc_HOL_Obool)), _u312), _u314))) )).
% 19.51/19.75 cnf(matrix-1153, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u310), _u302), _u312)) | ~hBOOL(hAPP(_u316, _u302)) | hBOOL(hAPP(_u316, skolem5(_u316, _u314, _u312, _u310))) )).
% 19.51/19.75 cnf(matrix-1154, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u310), _u303), _u314)) | ~hBOOL(hAPP(_u316, _u303)) | hBOOL(hAPP(hAPP(c_member(_u310), skolem5(_u316, _u314, _u312, _u310)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u310, tc_HOL_Obool)), _u312), _u314))) )).
% 19.51/19.75 cnf(matrix-1155, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u310), _u303), _u314)) | ~hBOOL(hAPP(_u316, _u303)) | hBOOL(hAPP(_u316, skolem5(_u316, _u314, _u312, _u310))) )).
% 19.51/19.75 cnf(matrix-1156, plain, ( hBOOL(hAPP(hAPP(c_member(_u327), skolem6(_u333, _u331, _u329, _u327)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u327, tc_HOL_Obool)), _u329), _u331))) | ~hBOOL(hAPP(hAPP(c_member(_u327), _u318), _u329)) | hBOOL(hAPP(_u333, _u318)) )).
% 19.51/19.75 cnf(matrix-1157, plain, ( hBOOL(hAPP(hAPP(c_member(_u327), skolem6(_u333, _u331, _u329, _u327)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u327, tc_HOL_Obool)), _u329), _u331))) | ~hBOOL(hAPP(hAPP(c_member(_u327), _u319), _u331)) | hBOOL(hAPP(_u333, _u319)) )).
% 19.51/19.75 cnf(matrix-1158, plain, ( ~hBOOL(hAPP(_u333, skolem6(_u333, _u331, _u329, _u327))) | ~hBOOL(hAPP(hAPP(c_member(_u327), _u318), _u329)) | hBOOL(hAPP(_u333, _u318)) )).
% 19.51/19.75 cnf(matrix-1159, plain, ( ~hBOOL(hAPP(_u333, skolem6(_u333, _u331, _u329, _u327))) | ~hBOOL(hAPP(hAPP(c_member(_u327), _u319), _u331)) | hBOOL(hAPP(_u333, _u319)) )).
% 19.51/19.75 cnf(matrix-1160, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u328), _u322), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u328, tc_HOL_Obool)), _u330), _u332))) | hBOOL(hAPP(_u334, _u322)) | hBOOL(hAPP(hAPP(c_member(_u328), skolem7(_u334, _u332, _u330, _u328)), _u330)) | hBOOL(hAPP(hAPP(c_member(_u328), skolem8(_u334, _u332, _u330, _u328)), _u332)) )).
% 19.51/19.75 cnf(matrix-1161, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u328), _u322), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u328, tc_HOL_Obool)), _u330), _u332))) | hBOOL(hAPP(_u334, _u322)) | hBOOL(hAPP(hAPP(c_member(_u328), skolem7(_u334, _u332, _u330, _u328)), _u330)) | ~hBOOL(hAPP(_u334, skolem8(_u334, _u332, _u330, _u328))) )).
% 19.51/19.75 cnf(matrix-1162, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u328), _u322), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u328, tc_HOL_Obool)), _u330), _u332))) | hBOOL(hAPP(_u334, _u322)) | ~hBOOL(hAPP(_u334, skolem7(_u334, _u332, _u330, _u328))) | hBOOL(hAPP(hAPP(c_member(_u328), skolem8(_u334, _u332, _u330, _u328)), _u332)) )).
% 19.51/19.75 cnf(matrix-1163, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u328), _u322), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u328, tc_HOL_Obool)), _u330), _u332))) | hBOOL(hAPP(_u334, _u322)) | ~hBOOL(hAPP(_u334, skolem7(_u334, _u332, _u330, _u328))) | ~hBOOL(hAPP(_u334, skolem8(_u334, _u332, _u330, _u328))) )).
% 19.51/19.75 cnf(matrix-1164, plain, ( ( _u335 != _u336) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u337, tc_HOL_Obool)), _u335), _u336)) )).
% 19.51/19.75 cnf(matrix-1165, plain, ( ( _u338 != _u339) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u340, tc_HOL_Obool)), _u339), _u338)) )).
% 19.51/19.75 cnf(matrix-1166, plain, ( ~class_Orderings_Opreorder(_u341) | ( _u342 != _u343) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u341), _u342), _u343)) )).
% 19.51/19.75 cnf(matrix-1167, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u344), _u345), _u346)) | hBOOL(hAPP(hAPP(c_member(_u344), _u345), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u344, tc_HOL_Obool)), _u346), _u347))) )).
% 19.51/19.75 cnf(matrix-1168, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u348), _u349), _u350)) | hBOOL(hAPP(hAPP(c_member(_u348), _u349), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u348, tc_HOL_Obool)), _u351), _u350))) )).
% 19.51/19.75 cnf(matrix-1169, plain, ( ~class_Orderings_Oord(_u352) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u353, _u352)), _u354), _u355)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u352), hAPP(_u354, _u356)), hAPP(_u355, _u356))) )).
% 19.51/19.75 cnf(matrix-1170, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u357, tc_HOL_Obool)), _u358), _u359)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u357, tc_HOL_Obool)), _u358), _u359) = _u359) )).
% 19.51/19.75 cnf(matrix-1171, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u360, tc_HOL_Obool)), _u361), _u362)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u360, tc_HOL_Obool)), _u362), _u361) = _u362) )).
% 19.51/19.75 cnf(matrix-1172, plain, ( ( _u363 != _u364) | ~hBOOL(hAPP(hAPP(c_member(_u365), _u366), _u363)) | hBOOL(hAPP(hAPP(c_member(_u365), _u366), _u364)) )).
% 19.51/19.75 cnf(matrix-1173, plain, ( ( _u363 != _u364) | ~hBOOL(hAPP(hAPP(c_member(_u365), _u366), _u364)) | hBOOL(hAPP(hAPP(c_member(_u365), _u366), _u363)) )).
% 19.51/19.75 cnf(matrix-1174, plain, ( ( _u367 != _u368) | ~hBOOL(hAPP(hAPP(c_member(_u369), _u367), _u370)) | hBOOL(hAPP(hAPP(c_member(_u369), _u368), _u370)) )).
% 19.51/19.75 cnf(matrix-1175, plain, ( ( _u367 != _u368) | ~hBOOL(hAPP(hAPP(c_member(_u369), _u368), _u370)) | hBOOL(hAPP(hAPP(c_member(_u369), _u367), _u370)) )).
% 19.51/19.75 cnf(matrix-1176, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u371, tc_HOL_Obool)), _u372), _u373)) | ~hBOOL(hAPP(hAPP(c_member(_u371), _u374), _u372)) | hBOOL(hAPP(hAPP(c_member(_u371), _u374), _u373)) )).
% 19.51/19.75 cnf(matrix-1177, plain, ( ~class_Orderings_Oorder(_u375) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u375), _u376), _u377)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u375), _u377), _u376)) | ( _u377 = _u376) )).
% 19.51/19.75 cnf(matrix-1178, plain, ( ~class_Orderings_Oorder(_u375) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u375), _u376), _u377)) | ( _u377 != _u376) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u375), _u377), _u376)) )).
% 19.51/19.75 cnf(matrix-1179, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u378, tc_HOL_Obool)), _u379), _u380)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u378, tc_HOL_Obool)), _u379), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u378, tc_HOL_Obool)), _u380), _u379)) = _u380) )).
% 19.51/19.75 cnf(matrix-1180, plain, ( ( _u381 != _u382) | ~hBOOL(hAPP(hAPP(c_member(_u383), _u382), _u384)) | hBOOL(hAPP(hAPP(c_member(_u383), _u381), _u384)) )).
% 19.51/19.75 cnf(matrix-1181, plain, ( ~class_Orderings_Oord(_u385) | ( _u386 != _u387) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u385), _u387), _u388)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u385), _u386), _u388)) )).
% 19.51/19.75 cnf(matrix-1182, plain, ( ~class_Orderings_Oorder(_u389) | ( _u390 != _u391) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u389), _u392), _u391)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u389), _u392), _u390)) )).
% 19.51/19.75 cnf(matrix-1183, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u393), _u394), _u395)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u393, tc_HOL_Obool)), _u395), _u396)) | hBOOL(hAPP(hAPP(c_member(_u393), _u394), _u396)) )).
% 19.51/19.75 cnf(matrix-1184, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u397, tc_HOL_Obool)), _u398), _u399)) | ~hBOOL(hAPP(hAPP(c_member(_u397), _u400), _u398)) | hBOOL(hAPP(hAPP(c_member(_u397), _u400), _u399)) )).
% 19.51/19.75 cnf(matrix-1185, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u401, tc_HOL_Obool)), _u402), _u403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u401, tc_HOL_Obool)), _u403), _u404)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u401, tc_HOL_Obool)), _u402), _u404)) )).
% 19.51/19.75 cnf(matrix-1186, plain, ( ~class_Orderings_Oord(_u405) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u405), _u406), _u407)) | ( _u407 != _u408) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u405), _u406), _u408)) )).
% 19.51/19.75 cnf(matrix-1187, plain, ( ~class_Orderings_Oorder(_u409) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u409), _u410), _u411)) | ( _u410 != _u412) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u409), _u412), _u411)) )).
% 19.51/19.75 cnf(matrix-1188, plain, ( ~class_Orderings_Oorder(_u413) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u413), _u414), _u415)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u413), _u415), _u414)) | ( _u414 = _u415) )).
% 19.51/19.75 cnf(matrix-1189, plain, ( ~class_Orderings_Opreorder(_u416) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u416), _u417), _u418)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u416), _u418), _u419)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u416), _u417), _u419)) )).
% 19.51/19.75 cnf(matrix-1190, plain, ( ~class_Orderings_Oorder(_u420) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u420), _u421), _u422)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u420), _u422), _u421)) | ( _u422 = _u421) )).
% 19.51/19.75 cnf(matrix-1191, plain, ( ~class_Orderings_Oorder(_u423) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u423), _u424), _u425)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u423), _u426), _u424)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u423), _u426), _u425)) )).
% 19.51/19.75 cnf(matrix-1192, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u427, tc_HOL_Obool)), _u428), _u429)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u427, tc_HOL_Obool)), _u430), _u429)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u427, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u427, tc_HOL_Obool)), _u428), _u430)), _u429)) )).
% 19.51/19.75 cnf(matrix-1193, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u431, tc_HOL_Obool)), _u432), _u433)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u431, tc_HOL_Obool)), _u434), _u435)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u431, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u431, tc_HOL_Obool)), _u432), _u434)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u431, tc_HOL_Obool)), _u433), _u435))) )).
% 19.51/19.75 cnf(matrix-1194, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u436, tc_HOL_Obool)), _u437), _u438)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u436, tc_HOL_Obool)), _u439), _u440)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u436, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u436, tc_HOL_Obool)), _u437), _u440)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u436, tc_HOL_Obool)), _u438), _u439))) )).
% 19.51/19.75 cnf(matrix-1195, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u441, tc_HOL_Obool)), _u442), _u443)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u441, tc_HOL_Obool)), _u443), _u444)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u441, tc_HOL_Obool)), _u443), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u441, tc_HOL_Obool)), _u444), _u442)) = _u442) )).
% 19.51/19.75 cnf(matrix-1196, plain, ( ( _u445 != _u446) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u447, tc_HOL_Obool)), _u445), _u446)) )).
% 19.51/19.75 cnf(matrix-1197, plain, ( ( _u445 != _u446) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u447, tc_HOL_Obool)), _u446), _u445)) )).
% 19.51/19.75 cnf(matrix-1198, plain, ( ~class_Orderings_Oord(_u448) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u449, _u448)), _u450), _u451)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u448), hAPP(_u450, _u452)), hAPP(_u451, _u452))) )).
% 19.51/19.75 cnf(matrix-1199, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u453), _u454), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u453, tc_HOL_Obool)), _u455), _u456))) | hBOOL(hAPP(hAPP(c_member(_u453), _u454), _u455)) )).
% 19.51/19.75 cnf(matrix-1200, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u457), _u458), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u457, tc_HOL_Obool)), _u459), _u460))) | ~hBOOL(hAPP(hAPP(c_member(_u457), _u458), _u460)) )).
% 19.51/19.75 cnf(matrix-1201, plain, ( ~class_Orderings_Olinorder(_u461) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u461), _u462), _u463)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u461), _u463), _u462)) )).
% 19.51/19.75 cnf(matrix-1202, plain, ( ( hAPP(hAPP(_u466, _u467), hAPP(hAPP(_u466, _u467), _u468)) = hAPP(hAPP(_u466, _u467), _u468)) | ~c_Finite__Set_Ofun__left__comm__idem(_u464, _u465, _u466) )).
% 19.51/19.75 cnf(matrix-1203, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u469), _u470), _u471)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u469, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u469), _u470), _u472)), _u471) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u469, tc_HOL_Obool)), _u472), _u471)) )).
% 19.51/19.75 cnf(matrix-1204, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u477), _u479), _u481)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u477, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u477), _u479), _u483)), _u481) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u477, tc_HOL_Obool)), _u483), _u481)) )).
% 19.51/19.75 cnf(matrix-1205, plain, ( hBOOL(hAPP(hAPP(c_member(_u478), _u480), _u482)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u478, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u478), _u480), _u484)), _u482) = hAPP(hAPP(c_Set_Oinsert(_u478), _u480), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u478, tc_HOL_Obool)), _u484), _u482))) )).
% 19.51/19.75 cnf(matrix-1206, plain, ( hBOOL(hAPP(hAPP(c_member(_u485), _u486), _u487)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u485, tc_HOL_Obool)), _u487), hAPP(hAPP(c_Set_Oinsert(_u485), _u486), _u488))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u485, tc_HOL_Obool)), _u487), _u488)) )).
% 19.51/19.75 cnf(matrix-1207, plain, ( hBOOL(hAPP(hAPP(c_member(_u485), _u486), _u487)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u485, tc_HOL_Obool)), _u487), _u488)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u485, tc_HOL_Obool)), _u487), hAPP(hAPP(c_Set_Oinsert(_u485), _u486), _u488))) )).
% 19.51/19.75 cnf(matrix-1208, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u493, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u493), _u495), _u497)), _u499)) | hBOOL(hAPP(hAPP(c_member(_u493), _u495), _u499)) )).
% 19.51/19.75 cnf(matrix-1209, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u493, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u493), _u495), _u497)), _u499)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u493, tc_HOL_Obool)), _u497), _u499)) )).
% 19.51/19.75 cnf(matrix-1210, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u494), _u496), _u500)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u494, tc_HOL_Obool)), _u498), _u500)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u494, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u494), _u496), _u498)), _u500)) )).
% 19.51/19.75 cnf(matrix-1211, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u505, tc_HOL_Obool)), _u507), hAPP(hAPP(c_Set_Oinsert(_u505), _u509), _u511))) | ~hBOOL(hAPP(hAPP(c_member(_u505), _u509), _u507)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u505, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u505, tc_HOL_Obool)), _u507), hAPP(hAPP(c_Set_Oinsert(_u505), _u509), c_Orderings_Obot__class_Obot(tc_fun(_u505, tc_HOL_Obool))))), _u511)) )).
% 19.51/19.75 cnf(matrix-1212, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u505, tc_HOL_Obool)), _u507), hAPP(hAPP(c_Set_Oinsert(_u505), _u509), _u511))) | hBOOL(hAPP(hAPP(c_member(_u505), _u509), _u507)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u505, tc_HOL_Obool)), _u507), _u511)) )).
% 19.51/19.75 cnf(matrix-1213, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u506, tc_HOL_Obool)), _u508), hAPP(hAPP(c_Set_Oinsert(_u506), _u510), _u512))) | hBOOL(hAPP(hAPP(c_member(_u506), _u510), _u508)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u506, tc_HOL_Obool)), _u508), _u512)) )).
% 19.51/19.75 cnf(matrix-1214, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u506, tc_HOL_Obool)), _u508), hAPP(hAPP(c_Set_Oinsert(_u506), _u510), _u512))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u506, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u506, tc_HOL_Obool)), _u508), hAPP(hAPP(c_Set_Oinsert(_u506), _u510), c_Orderings_Obot__class_Obot(tc_fun(_u506, tc_HOL_Obool))))), _u512)) | ~hBOOL(hAPP(hAPP(c_member(_u506), _u510), _u508)) )).
% 19.51/19.75 cnf(matrix-1215, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u506, tc_HOL_Obool)), _u508), hAPP(hAPP(c_Set_Oinsert(_u506), _u510), _u512))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u506, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u506, tc_HOL_Obool)), _u508), hAPP(hAPP(c_Set_Oinsert(_u506), _u510), c_Orderings_Obot__class_Obot(tc_fun(_u506, tc_HOL_Obool))))), _u512)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u506, tc_HOL_Obool)), _u508), _u512)) )).
% 19.51/19.75 cnf(matrix-1216, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u513, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u513, tc_HOL_Obool)), _u514), hAPP(hAPP(c_Set_Oinsert(_u513), _u515), c_Orderings_Obot__class_Obot(tc_fun(_u513, tc_HOL_Obool))))), _u516)) | ~hBOOL(hAPP(hAPP(c_member(_u513), _u515), _u514)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u513, tc_HOL_Obool)), _u514), hAPP(hAPP(c_Set_Oinsert(_u513), _u515), _u516))) )).
% 19.51/19.75 cnf(matrix-1217, plain, ( hBOOL(hAPP(hAPP(c_member(_u517), _u518), _u519)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u517, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u517), _u518), _u519)), hAPP(hAPP(c_Set_Oinsert(_u517), _u518), c_Orderings_Obot__class_Obot(tc_fun(_u517, tc_HOL_Obool)))) = _u519) )).
% 19.51/19.75 cnf(matrix-1218, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u520), _u521), _u522)) | ( hAPP(hAPP(c_Set_Oinsert(_u520), _u521), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u520, tc_HOL_Obool)), _u522), hAPP(hAPP(c_Set_Oinsert(_u520), _u521), c_Orderings_Obot__class_Obot(tc_fun(_u520, tc_HOL_Obool))))) = _u522) )).
% 19.51/19.75 cnf(matrix-1219, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u523, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u523, tc_HOL_Obool))), _u524) = c_Orderings_Obot__class_Obot(tc_fun(_u523, tc_HOL_Obool))) )).
% 19.51/19.75 cnf(matrix-1220, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u525, tc_HOL_Obool)), _u526), c_Orderings_Obot__class_Obot(tc_fun(_u525, tc_HOL_Obool))) = _u526) )).
% 19.51/19.75 cnf(matrix-1221, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u527, tc_HOL_Obool)), _u528), _u528) = c_Orderings_Obot__class_Obot(tc_fun(_u527, tc_HOL_Obool))) )).
% 19.51/19.75 cnf(matrix-1222, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u529, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u529, tc_HOL_Obool))), _u530) = _u530) )).
% 19.51/19.75 cnf(matrix-1223, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u531, tc_HOL_Obool)), _u532), c_Orderings_Obot__class_Obot(tc_fun(_u531, tc_HOL_Obool))) = _u532) )).
% 19.51/19.75 cnf(matrix-1224, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u536, tc_HOL_Obool)), _u538), _u540) != c_Orderings_Obot__class_Obot(tc_fun(_u536, tc_HOL_Obool))) | ( _u538 = c_Orderings_Obot__class_Obot(tc_fun(_u536, tc_HOL_Obool))) )).
% 19.51/19.75 cnf(matrix-1225, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u536, tc_HOL_Obool)), _u538), _u540) != c_Orderings_Obot__class_Obot(tc_fun(_u536, tc_HOL_Obool))) | ( _u540 = c_Orderings_Obot__class_Obot(tc_fun(_u536, tc_HOL_Obool))) )).
% 19.51/19.75 cnf(matrix-1226, plain, ( ( _u539 != c_Orderings_Obot__class_Obot(tc_fun(_u537, tc_HOL_Obool))) | ( _u541 != c_Orderings_Obot__class_Obot(tc_fun(_u537, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u537, tc_HOL_Obool)), _u539), _u541) = c_Orderings_Obot__class_Obot(tc_fun(_u537, tc_HOL_Obool))) )).
% 19.51/19.75 cnf(matrix-1227, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u542, tc_HOL_Obool)), _u543), hAPP(hAPP(c_Set_Oinsert(_u542), _u544), _u545)) = hAPP(hAPP(c_Set_Oinsert(_u542), _u544), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u542, tc_HOL_Obool)), _u543), _u545))) )).
% 19.51/19.75 cnf(matrix-1228, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u546, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u546), _u547), _u548)), _u549) = hAPP(hAPP(c_Set_Oinsert(_u546), _u547), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u546, tc_HOL_Obool)), _u548), _u549))) )).
% 19.51/19.75 cnf(matrix-1229, plain, ( ~class_Orderings_Obot(_u550) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u550), c_Orderings_Obot__class_Obot(_u550)), _u551)) )).
% 19.51/19.75 cnf(matrix-1230, plain, ( hBOOL(hAPP(hAPP(c_member(_u556), skolem9(_u558, _u556)), _u558)) | ( _u558 = c_Orderings_Obot__class_Obot(tc_fun(_u556, tc_HOL_Obool))) )).
% 19.51/19.75 cnf(matrix-1231, plain, ( ( _u559 != c_Orderings_Obot__class_Obot(tc_fun(_u557, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u557), _u553), _u559)) )).
% 19.51/19.75 cnf(matrix-1232, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u564), _u560), _u566)) | ( _u566 != c_Orderings_Obot__class_Obot(tc_fun(_u564, tc_HOL_Obool))) )).
% 19.51/19.75 cnf(matrix-1233, plain, ( ( _u567 = c_Orderings_Obot__class_Obot(tc_fun(_u565, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u565), skolem10(_u567, _u565)), _u567)) )).
% 19.51/19.75 cnf(matrix-1234, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u568), _u569), c_Orderings_Obot__class_Obot(tc_fun(_u568, tc_HOL_Obool)))) )).
% 19.51/19.75 cnf(matrix-1235, plain, ( ( _u570 != c_Orderings_Obot__class_Obot(tc_fun(_u571, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u571), _u572), _u570)) )).
% 19.51/19.75 cnf(matrix-1236, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u575, tc_HOL_Obool)), _u577), c_Orderings_Obot__class_Obot(tc_fun(_u575, tc_HOL_Obool)))) | ( _u577 = c_Orderings_Obot__class_Obot(tc_fun(_u575, tc_HOL_Obool))) )).
% 19.51/19.75 cnf(matrix-1237, plain, ( ( _u578 != c_Orderings_Obot__class_Obot(tc_fun(_u576, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u576, tc_HOL_Obool)), _u578), c_Orderings_Obot__class_Obot(tc_fun(_u576, tc_HOL_Obool)))) )).
% 19.51/19.75 cnf(matrix-1238, plain, ( hBOOL(hAPP(hAPP(c_member(_u579), _u580), hAPP(hAPP(c_Set_Oinsert(_u579), _u580), _u581))) )).
% 19.51/19.75 cnf(matrix-1239, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u586), _u588), hAPP(hAPP(c_Set_Oinsert(_u586), _u590), _u592))) | ( _u588 = _u590) | hBOOL(hAPP(hAPP(c_member(_u586), _u588), _u592)) )).
% 19.51/19.75 cnf(matrix-1240, plain, ( hBOOL(hAPP(hAPP(c_member(_u587), _u589), hAPP(hAPP(c_Set_Oinsert(_u587), _u591), _u593))) | ( _u589 != _u591) )).
% 19.51/19.75 cnf(matrix-1241, plain, ( hBOOL(hAPP(hAPP(c_member(_u587), _u589), hAPP(hAPP(c_Set_Oinsert(_u587), _u591), _u593))) | ~hBOOL(hAPP(hAPP(c_member(_u587), _u589), _u593)) )).
% 19.51/19.75 cnf(matrix-1242, plain, ( hBOOL(hAPP(hAPP(c_member(_u594), _u595), _u596)) | hBOOL(hAPP(hAPP(c_member(_u594), _u595), _u597)) | ( hAPP(hAPP(c_Set_Oinsert(_u594), _u595), _u596) != hAPP(hAPP(c_Set_Oinsert(_u594), _u595), _u597)) | ( _u596 = _u597) )).
% 19.51/19.75 cnf(matrix-1243, plain, ( hBOOL(hAPP(hAPP(c_member(_u594), _u595), _u596)) | hBOOL(hAPP(hAPP(c_member(_u594), _u595), _u597)) | ( _u596 != _u597) | ( hAPP(hAPP(c_Set_Oinsert(_u594), _u595), _u596) = hAPP(hAPP(c_Set_Oinsert(_u594), _u595), _u597)) )).
% 19.51/19.75 cnf(matrix-1244, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u598), _u599), _u600)) | hBOOL(hAPP(hAPP(c_member(_u598), _u599), hAPP(hAPP(c_Set_Oinsert(_u598), _u601), _u600))) )).
% 19.51/19.75 cnf(matrix-1245, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u602), _u603), _u604)) | ( hAPP(hAPP(c_Set_Oinsert(_u602), _u603), _u604) = _u604) )).
% 19.51/19.75 cnf(matrix-1246, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u605, tc_HOL_Obool)), _u606), hAPP(hAPP(c_Set_Oinsert(_u605), _u607), _u606))) )).
% 19.51/19.75 cnf(matrix-1247, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u608, tc_HOL_Obool)), _u609), _u610)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u608, tc_HOL_Obool)), _u609), hAPP(hAPP(c_Set_Oinsert(_u608), _u611), _u610))) )).
% 19.51/19.75 cnf(matrix-1248, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u612, tc_HOL_Obool)), _u613), _u614)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u612, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u612), _u615), _u613)), hAPP(hAPP(c_Set_Oinsert(_u612), _u615), _u614))) )).
% 19.51/19.75 cnf(matrix-1249, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u616), tc_HOL_Obool)), _u617), _u618)) | c_Hoare__Mirabelle_Ohoare__derivs(_u616, _u618, _u617) )).
% 19.51/19.75 cnf(matrix-1250, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u619, _u620, _u621) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u619), tc_HOL_Obool)), _u622), _u621)) | c_Hoare__Mirabelle_Ohoare__derivs(_u619, _u620, _u622) )).
% 19.51/19.75 cnf(matrix-1251, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u623, _u624, _u625) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u623), tc_HOL_Obool)), _u624), _u626)) | c_Hoare__Mirabelle_Ohoare__derivs(_u623, _u626, _u625) )).
% 19.51/19.75 cnf(matrix-1252, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u630, tc_HOL_Obool)), _u629), _u627), _u628)) | ~hBOOL(hAPP(_u627, _u628)) )).
% 19.51/19.75 cnf(matrix-1253, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u630, tc_HOL_Obool)), _u629), _u627), _u628)) | ~hBOOL(hAPP(_u629, _u628)) )).
% 19.51/19.75 cnf(matrix-1254, plain, ( hBOOL(hAPP(_u632, _u634)) | hBOOL(hAPP(_u633, _u634)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u631, tc_HOL_Obool)), _u632), _u633), _u634)) )).
% 19.51/19.75 cnf(matrix-1255, plain, ( ~class_Groups_Ominus(_u635) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u636, _u635)), _u637), _u638), _u639) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u635), hAPP(_u637, _u639)), hAPP(_u638, _u639))) )).
% 19.51/19.75 cnf(matrix-1256, plain, ( ~class_Lattices_Olattice(_u640) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u641, _u640)), _u642), _u643), _u644) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u640), hAPP(_u642, _u644)), hAPP(_u643, _u644))) )).
% 19.51/19.75 cnf(matrix-1257, plain, ( ~class_Lattices_Obounded__lattice__bot(_u645) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u645), c_Orderings_Obot__class_Obot(_u645)), _u646) = _u646) )).
% 19.51/19.75 cnf(matrix-1258, plain, ( ~class_Lattices_Obounded__lattice__bot(_u647) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u647), _u648), c_Orderings_Obot__class_Obot(_u647)) = _u648) )).
% 19.51/19.75 cnf(matrix-1259, plain, ( ~class_Lattices_Obounded__lattice__bot(_u649) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u649), _u650), _u651) != c_Orderings_Obot__class_Obot(_u649)) | ( _u650 = c_Orderings_Obot__class_Obot(_u649)) )).
% 19.51/19.75 cnf(matrix-1260, plain, ( ~class_Lattices_Obounded__lattice__bot(_u649) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u649), _u650), _u651) != c_Orderings_Obot__class_Obot(_u649)) | ( _u651 = c_Orderings_Obot__class_Obot(_u649)) )).
% 19.51/19.75 cnf(matrix-1261, plain, ( ~class_Lattices_Obounded__lattice__bot(_u649) | ( _u650 != c_Orderings_Obot__class_Obot(_u649)) | ( _u651 != c_Orderings_Obot__class_Obot(_u649)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u649), _u650), _u651) = c_Orderings_Obot__class_Obot(_u649)) )).
% 19.51/19.75 cnf(matrix-1262, plain, ( ~class_Lattices_Osemilattice__sup(_u652) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u652), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u652), _u653), _u654)), _u655)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u652), _u653), _u655)) )).
% 19.51/19.75 cnf(matrix-1263, plain, ( ~class_Lattices_Osemilattice__sup(_u652) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u652), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u652), _u653), _u654)), _u655)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u652), _u654), _u655)) )).
% 19.51/19.75 cnf(matrix-1264, plain, ( ~class_Lattices_Osemilattice__sup(_u656) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u656), _u657), _u658)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u656), _u659), _u660)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u656), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u656), _u657), _u659)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u656), _u658), _u660))) )).
% 19.51/19.75 cnf(matrix-1265, plain, ( ~class_Lattices_Osemilattice__sup(_u661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u661), _u662), _u663)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u661), _u664), _u663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u661), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u661), _u662), _u664)), _u663)) )).
% 19.51/19.75 cnf(matrix-1266, plain, ( ~class_Lattices_Osemilattice__sup(_u665) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u665), _u666), _u667)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u665), _u668), _u667)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u665), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u665), _u666), _u668)), _u667)) )).
% 19.51/19.75 cnf(matrix-1267, plain, ( ~class_Lattices_Osemilattice__sup(_u669) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u669), _u670), _u671)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u669), _u671), _u670) = _u671) )).
% 19.51/19.75 cnf(matrix-1268, plain, ( ( _u677 = _u679) | ~hBOOL(hAPP(hAPP(c_member(_u675), _u677), hAPP(c_fequal, _u679))) )).
% 19.51/19.75 cnf(matrix-1269, plain, ( ( _u678 != _u680) | hBOOL(hAPP(hAPP(c_member(_u676), _u678), hAPP(c_fequal, _u680))) )).
% 19.51/19.75 cnf(matrix-1270, plain, ( ~class_Lattices_Osemilattice__sup(_u681) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u681), _u682), _u682) = _u682) )).
% 19.51/19.75 cnf(matrix-1271, plain, ( ~class_Lattices_Osemilattice__sup(_u683) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u683), _u684), _u684) = _u684) )).
% 19.51/19.75 cnf(matrix-1272, plain, ( ~class_Lattices_Osemilattice__sup(_u685) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u685), _u686), _u687) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u685), _u687), _u686)) )).
% 19.51/19.75 cnf(matrix-1273, plain, ( ~class_Lattices_Olattice(_u688) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u688), _u689), _u690) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u688), _u690), _u689)) )).
% 19.51/19.75 cnf(matrix-1274, plain, ( ~class_Lattices_Osemilattice__sup(_u691) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u691), _u692), _u693) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u691), _u693), _u692)) )).
% 19.51/19.75 cnf(matrix-1275, plain, ( ~class_Lattices_Osemilattice__sup(_u694) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u694), _u695), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u694), _u695), _u696)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u694), _u695), _u696)) )).
% 19.51/19.75 cnf(matrix-1276, plain, ( ~class_Lattices_Olattice(_u697) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u697), _u698), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u697), _u698), _u699)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u697), _u698), _u699)) )).
% 19.51/19.75 cnf(matrix-1277, plain, ( ~class_Lattices_Osemilattice__sup(_u700) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u700), _u701), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u700), _u701), _u702)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u700), _u701), _u702)) )).
% 19.51/19.75 cnf(matrix-1278, plain, ( ~class_Lattices_Osemilattice__sup(_u703) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u703), _u704), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u703), _u705), _u706)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u703), _u705), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u703), _u704), _u706))) )).
% 19.51/19.75 cnf(matrix-1279, plain, ( ~class_Lattices_Olattice(_u707) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u707), _u708), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u707), _u709), _u710)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u707), _u709), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u707), _u708), _u710))) )).
% 19.51/19.75 cnf(matrix-1280, plain, ( ~class_Lattices_Osemilattice__sup(_u711) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u711), _u712), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u711), _u713), _u714)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u711), _u713), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u711), _u712), _u714))) )).
% 19.51/19.75 cnf(matrix-1281, plain, ( ~class_Lattices_Osemilattice__sup(_u715) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u715), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u715), _u716), _u717)), _u718) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u715), _u716), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u715), _u717), _u718))) )).
% 19.51/19.75 cnf(matrix-1282, plain, ( ~class_Lattices_Olattice(_u719) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u719), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u719), _u720), _u721)), _u722) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u719), _u720), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u719), _u721), _u722))) )).
% 19.51/19.75 cnf(matrix-1283, plain, ( ~class_Lattices_Osemilattice__sup(_u723) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u723), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u723), _u724), _u725)), _u726) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u723), _u724), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u723), _u725), _u726))) )).
% 19.51/19.75 cnf(matrix-1284, plain, ( ~hBOOL(hAPP(_u727, _u728)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u729, tc_HOL_Obool)), _u727), _u730)) | hBOOL(hAPP(_u730, _u728)) )).
% 19.51/19.75 cnf(matrix-1285, plain, ( ~hBOOL(hAPP(_u732, _u734)) | hBOOL(hAPP(_u733, _u734)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u731, tc_HOL_Obool)), _u732), _u733)) )).
% 19.51/19.75 cnf(matrix-1286, plain, ( ~hBOOL(hAPP(_u735, _u736)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u737, tc_HOL_Obool)), _u735), _u738), _u736)) )).
% 19.51/19.75 cnf(matrix-1287, plain, ( ~hBOOL(hAPP(_u739, _u740)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u741, tc_HOL_Obool)), _u742), _u739), _u740)) )).
% 19.51/19.75 cnf(matrix-1288, plain, ( ~class_Lattices_Olattice(_u743) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u743), _u744), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u743), _u744), _u745))) )).
% 19.51/19.75 cnf(matrix-1289, plain, ( ~class_Lattices_Osemilattice__sup(_u746) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u746), _u747), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u746), _u747), _u748))) )).
% 19.51/19.75 cnf(matrix-1290, plain, ( ~class_Lattices_Olattice(_u749) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u749), _u750), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u749), _u751), _u750))) )).
% 19.51/19.75 cnf(matrix-1291, plain, ( ~class_Lattices_Osemilattice__sup(_u752) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u752), _u753), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u752), _u754), _u753))) )).
% 19.51/19.75 cnf(matrix-1292, plain, ( ~class_Lattices_Osemilattice__sup(_u755) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u755), _u756), _u757)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u755), _u756), _u757) = _u757) )).
% 19.51/19.75 cnf(matrix-1293, plain, ( ~class_Lattices_Osemilattice__sup(_u755) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u755), _u756), _u757) != _u757) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u755), _u756), _u757)) )).
% 19.51/19.75 cnf(matrix-1294, plain, ( ~class_Lattices_Osemilattice__sup(_u758) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u758), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u758), _u759), _u760)), _u761)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u758), _u759), _u761)) )).
% 19.51/19.75 cnf(matrix-1295, plain, ( ~class_Lattices_Osemilattice__sup(_u758) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u758), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u758), _u759), _u760)), _u761)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u758), _u760), _u761)) )).
% 19.51/19.75 cnf(matrix-1296, plain, ( ~class_Lattices_Osemilattice__sup(_u758) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u758), _u759), _u761)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u758), _u760), _u761)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u758), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u758), _u759), _u760)), _u761)) )).
% 19.51/19.75 cnf(matrix-1297, plain, ( ~class_Lattices_Osemilattice__sup(_u762) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u762), _u763), _u764)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u762), _u763), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u762), _u764), _u765))) )).
% 19.51/19.75 cnf(matrix-1298, plain, ( ~class_Lattices_Osemilattice__sup(_u766) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u766), _u767), _u768)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u766), _u767), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u766), _u769), _u768))) )).
% 19.51/19.75 cnf(matrix-1299, plain, ( ~class_Lattices_Osemilattice__sup(_u770) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u770), _u771), _u772)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u770), _u771), _u772) = _u772) )).
% 19.51/19.75 cnf(matrix-1300, plain, ( ~class_Groups_Oordered__ab__group__add(_u773) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u773), _u774), _u775) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u773), _u776), _u777)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u773), _u774), _u775)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u773), _u776), _u777)) )).
% 19.51/19.75 cnf(matrix-1301, plain, ( ~class_Groups_Oordered__ab__group__add(_u773) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u773), _u774), _u775) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u773), _u776), _u777)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u773), _u776), _u777)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u773), _u774), _u775)) )).
% 19.51/19.75 cnf(matrix-1302, plain, ( ~c_Finite__Set_Ofolding__one(_u778, _u779, _u780) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u778), _u781)) | ~hBOOL(hAPP(hAPP(c_member(_u778), _u782), _u781)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u778, tc_HOL_Obool)), _u781), hAPP(hAPP(c_Set_Oinsert(_u778), _u782), c_Orderings_Obot__class_Obot(tc_fun(_u778, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u778, tc_HOL_Obool))) | ( hAPP(_u780, _u781) = _u782) )).
% 19.51/19.75 cnf(matrix-1303, plain, ( ~c_Finite__Set_Ofolding__one(_u778, _u779, _u780) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u778), _u781)) | ~hBOOL(hAPP(hAPP(c_member(_u778), _u782), _u781)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u778, tc_HOL_Obool)), _u781), hAPP(hAPP(c_Set_Oinsert(_u778), _u782), c_Orderings_Obot__class_Obot(tc_fun(_u778, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u778, tc_HOL_Obool))) | ( hAPP(_u780, _u781) = hAPP(hAPP(_u779, _u782), hAPP(_u780, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u778, tc_HOL_Obool)), _u781), hAPP(hAPP(c_Set_Oinsert(_u778), _u782), c_Orderings_Obot__class_Obot(tc_fun(_u778, tc_HOL_Obool))))))) )).
% 19.51/19.75 cnf(matrix-1304, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u784), _u789)) | ~hBOOL(hAPP(hAPP(c_member(_u784), _u790), _u789)) | ( hAPP(_u788, _u789) = hAPP(hAPP(_u785, hAPP(_u787, _u790)), hAPP(_u788, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u784, tc_HOL_Obool)), _u789), hAPP(hAPP(c_Set_Oinsert(_u784), _u790), c_Orderings_Obot__class_Obot(tc_fun(_u784, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u783, _u784, _u785, _u786, _u787, _u788) )).
% 19.51/19.75 cnf(matrix-1305, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u791, _u791, _u792, _u793, _u794), _u795)) | hBOOL(hAPP(hAPP(c_member(_u791), _u793), _u794)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u791, _u792, hAPP(hAPP(c_Set_Oinsert(_u791), _u793), _u794)), _u795)) )).
% 19.51/19.75 cnf(matrix-1306, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u800, tc_HOL_Obool)), _u802), hAPP(hAPP(c_Set_Oinsert(_u800), _u804), _u806))) | ~hBOOL(hAPP(hAPP(c_member(_u800), _u804), _u806)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u800, tc_HOL_Obool)), _u802), _u806)) )).
% 19.51/19.75 cnf(matrix-1307, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u800, tc_HOL_Obool)), _u802), hAPP(hAPP(c_Set_Oinsert(_u800), _u804), _u806))) | hBOOL(hAPP(hAPP(c_member(_u800), _u804), _u806)) | ~hBOOL(hAPP(hAPP(c_member(_u800), _u804), _u802)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u800, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u800, tc_HOL_Obool)), _u802), hAPP(hAPP(c_Set_Oinsert(_u800), _u804), c_Orderings_Obot__class_Obot(tc_fun(_u800, tc_HOL_Obool))))), _u806)) )).
% 19.51/19.75 cnf(matrix-1308, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u800, tc_HOL_Obool)), _u802), hAPP(hAPP(c_Set_Oinsert(_u800), _u804), _u806))) | hBOOL(hAPP(hAPP(c_member(_u800), _u804), _u806)) | hBOOL(hAPP(hAPP(c_member(_u800), _u804), _u802)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u800, tc_HOL_Obool)), _u802), _u806)) )).
% 19.51/19.75 cnf(matrix-1309, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u801, tc_HOL_Obool)), _u803), hAPP(hAPP(c_Set_Oinsert(_u801), _u805), _u807))) | hBOOL(hAPP(hAPP(c_member(_u801), _u805), _u807)) | hBOOL(hAPP(hAPP(c_member(_u801), _u805), _u803)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u801, tc_HOL_Obool)), _u803), _u807)) )).
% 19.51/19.75 cnf(matrix-1310, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u801, tc_HOL_Obool)), _u803), hAPP(hAPP(c_Set_Oinsert(_u801), _u805), _u807))) | hBOOL(hAPP(hAPP(c_member(_u801), _u805), _u807)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u801, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u801, tc_HOL_Obool)), _u803), hAPP(hAPP(c_Set_Oinsert(_u801), _u805), c_Orderings_Obot__class_Obot(tc_fun(_u801, tc_HOL_Obool))))), _u807)) | ~hBOOL(hAPP(hAPP(c_member(_u801), _u805), _u803)) )).
% 19.51/19.75 cnf(matrix-1311, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u801, tc_HOL_Obool)), _u803), hAPP(hAPP(c_Set_Oinsert(_u801), _u805), _u807))) | hBOOL(hAPP(hAPP(c_member(_u801), _u805), _u807)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u801, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u801, tc_HOL_Obool)), _u803), hAPP(hAPP(c_Set_Oinsert(_u801), _u805), c_Orderings_Obot__class_Obot(tc_fun(_u801, tc_HOL_Obool))))), _u807)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u801, tc_HOL_Obool)), _u803), _u807)) )).
% 19.51/19.75 cnf(matrix-1312, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u801, tc_HOL_Obool)), _u803), hAPP(hAPP(c_Set_Oinsert(_u801), _u805), _u807))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u801, tc_HOL_Obool)), _u803), _u807)) | ~hBOOL(hAPP(hAPP(c_member(_u801), _u805), _u807)) )).
% 19.51/19.75 cnf(matrix-1313, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u801, tc_HOL_Obool)), _u803), hAPP(hAPP(c_Set_Oinsert(_u801), _u805), _u807))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u801, tc_HOL_Obool)), _u803), _u807)) | hBOOL(hAPP(hAPP(c_member(_u801), _u805), _u803)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u801, tc_HOL_Obool)), _u803), _u807)) )).
% 19.51/19.75 cnf(matrix-1314, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u801, tc_HOL_Obool)), _u803), hAPP(hAPP(c_Set_Oinsert(_u801), _u805), _u807))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u801, tc_HOL_Obool)), _u803), _u807)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u801, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u801, tc_HOL_Obool)), _u803), hAPP(hAPP(c_Set_Oinsert(_u801), _u805), c_Orderings_Obot__class_Obot(tc_fun(_u801, tc_HOL_Obool))))), _u807)) | ~hBOOL(hAPP(hAPP(c_member(_u801), _u805), _u803)) )).
% 19.51/19.75 cnf(matrix-1315, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u801, tc_HOL_Obool)), _u803), hAPP(hAPP(c_Set_Oinsert(_u801), _u805), _u807))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u801, tc_HOL_Obool)), _u803), _u807)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u801, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u801, tc_HOL_Obool)), _u803), hAPP(hAPP(c_Set_Oinsert(_u801), _u805), c_Orderings_Obot__class_Obot(tc_fun(_u801, tc_HOL_Obool))))), _u807)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u801, tc_HOL_Obool)), _u803), _u807)) )).
% 19.51/19.75 cnf(matrix-1316, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u808), _u809), _u810)) | ~c_Nitpick_Ofold__graph_H(_u808, _u811, _u812, _u813, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u808, tc_HOL_Obool)), _u810), hAPP(hAPP(c_Set_Oinsert(_u808), _u809), c_Orderings_Obot__class_Obot(tc_fun(_u808, tc_HOL_Obool)))), _u814) | c_Nitpick_Ofold__graph_H(_u808, _u811, _u812, _u813, _u810, hAPP(hAPP(_u812, _u809), _u814)) )).
% 19.51/19.75 cnf(matrix-1317, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u815, _u816, _u817, _u818, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u815, tc_HOL_Obool)), _u819), hAPP(hAPP(c_Set_Oinsert(_u815), _u820), c_Orderings_Obot__class_Obot(tc_fun(_u815, tc_HOL_Obool))))), _u821)) | ~hBOOL(hAPP(hAPP(c_member(_u815), _u820), _u819)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u815, _u816, _u817, _u818, _u819), hAPP(hAPP(_u817, _u820), _u821))) )).
% 19.51/19.75 cnf(matrix-1318, plain, ( ~c_Finite__Set_Ofolding__one(_u822, _u823, _u824) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u822), _u825)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u822, tc_HOL_Obool)), _u825), hAPP(hAPP(c_Set_Oinsert(_u822), _u826), c_Orderings_Obot__class_Obot(tc_fun(_u822, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u822, tc_HOL_Obool))) | ( hAPP(_u824, hAPP(hAPP(c_Set_Oinsert(_u822), _u826), _u825)) = _u826) )).
% 19.51/19.75 cnf(matrix-1319, plain, ( ~c_Finite__Set_Ofolding__one(_u822, _u823, _u824) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u822), _u825)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u822, tc_HOL_Obool)), _u825), hAPP(hAPP(c_Set_Oinsert(_u822), _u826), c_Orderings_Obot__class_Obot(tc_fun(_u822, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u822, tc_HOL_Obool))) | ( hAPP(_u824, hAPP(hAPP(c_Set_Oinsert(_u822), _u826), _u825)) = hAPP(hAPP(_u823, _u826), hAPP(_u824, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u822, tc_HOL_Obool)), _u825), hAPP(hAPP(c_Set_Oinsert(_u822), _u826), c_Orderings_Obot__class_Obot(tc_fun(_u822, tc_HOL_Obool))))))) )).
% 19.51/19.75 cnf(matrix-1320, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u828), _u833)) | ( hAPP(_u832, hAPP(hAPP(c_Set_Oinsert(_u828), _u834), _u833)) = hAPP(hAPP(_u829, hAPP(_u831, _u834)), hAPP(_u832, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u828, tc_HOL_Obool)), _u833), hAPP(hAPP(c_Set_Oinsert(_u828), _u834), c_Orderings_Obot__class_Obot(tc_fun(_u828, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u827, _u828, _u829, _u830, _u831, _u832) )).
% 19.51/19.75 cnf(matrix-1321, plain, ( ~c_Finite__Set_Ofolding__one(_u835, _u836, _u837) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u835), _u838)) | hBOOL(hAPP(hAPP(c_member(_u835), _u839), _u838)) | ( _u838 = c_Orderings_Obot__class_Obot(tc_fun(_u835, tc_HOL_Obool))) | ( hAPP(_u837, hAPP(hAPP(c_Set_Oinsert(_u835), _u839), _u838)) = hAPP(hAPP(_u836, _u839), hAPP(_u837, _u838))) )).
% 19.51/19.75 cnf(matrix-1322, plain, ( ( _u846 = c_Orderings_Obot__class_Obot(tc_fun(_u848, tc_HOL_Obool))) | ( _u846 = hAPP(hAPP(c_Set_Oinsert(_u848), skolem11(_u848, _u846)), skolem12(_u848, _u846))) )).
% 19.51/19.75 cnf(matrix-1323, plain, ( ( _u846 = c_Orderings_Obot__class_Obot(tc_fun(_u848, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u848), skolem11(_u848, _u846)), skolem12(_u848, _u846))) )).
% 19.51/19.75 cnf(matrix-1324, plain, ( ( _u847 != hAPP(hAPP(c_Set_Oinsert(_u849), _u843), _u842)) | hBOOL(hAPP(hAPP(c_member(_u849), _u843), _u842)) | ( _u847 != c_Orderings_Obot__class_Obot(tc_fun(_u849, tc_HOL_Obool))) )).
% 19.51/19.75 cnf(matrix-1325, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u850), c_Orderings_Obot__class_Obot(tc_fun(_u850, tc_HOL_Obool)))) )).
% 19.51/19.75 cnf(matrix-1326, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u851), _u852)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u851), hAPP(hAPP(c_Set_Oinsert(_u851), _u853), _u852))) )).
% 19.51/19.75 cnf(matrix-1327, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u854), _u855)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u854), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u854, tc_HOL_Obool)), _u855), _u856))) )).
% 19.51/19.75 cnf(matrix-1328, plain, ( ~class_Finite__Set_Ofinite(_u857) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u857), _u858)) )).
% 19.51/19.75 cnf(matrix-1329, plain, ( ~class_Orderings_Opreorder(_u859) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u859), _u860), _u860)) )).
% 19.51/19.75 cnf(matrix-1330, plain, ( ~class_Finite__Set_Ofinite(_u861) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u861), _u862)) )).
% 19.51/19.75 cnf(matrix-1331, plain, ( ~class_Orderings_Olinorder(_u863) | ( _u864 = _u865) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u863), _u864), _u865)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u863), _u865), _u864)) )).
% 19.51/19.75 cnf(matrix-1332, plain, ( ~class_Orderings_Olinorder(_u863) | ( _u864 != _u865) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u863), _u864), _u865)) )).
% 19.51/19.75 cnf(matrix-1333, plain, ( ~class_Orderings_Olinorder(_u863) | ( _u864 != _u865) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u863), _u865), _u864)) )).
% 19.51/19.75 cnf(matrix-1334, plain, ( ~class_Orderings_Olinorder(_u866) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u866), _u867), _u868)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u866), _u868), _u867)) | ( _u867 = _u868) )).
% 19.51/19.75 cnf(matrix-1335, plain, ( ~class_Orderings_Olinorder(_u866) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u866), _u867), _u868)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u866), _u868), _u867)) )).
% 19.51/19.75 cnf(matrix-1336, plain, ( ~class_Orderings_Olinorder(_u866) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u866), _u867), _u868)) | ( _u867 != _u868) )).
% 19.51/19.75 cnf(matrix-1337, plain, ( ~class_Orderings_Olinorder(_u869) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u869), _u870), _u871)) | ( _u870 = _u871) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u869), _u871), _u870)) )).
% 19.51/19.75 cnf(matrix-1338, plain, ( ~class_Orderings_Olinorder(_u872) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u872), _u873), _u874)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u872), _u874), _u873)) | ( _u874 = _u873) )).
% 19.51/19.75 cnf(matrix-1339, plain, ( ~class_Orderings_Olinorder(_u872) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u872), _u873), _u874)) | ( _u874 != _u873) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u872), _u874), _u873)) )).
% 19.51/19.75 cnf(matrix-1340, plain, ( ~class_Orderings_Olinorder(_u875) | ( _u876 = _u877) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u875), _u876), _u877)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u875), _u877), _u876)) )).
% 19.51/19.75 cnf(matrix-1341, plain, ( ~class_Orderings_Oorder(_u878) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u878), _u879), _u880)) | ( _u879 != _u880) )).
% 19.51/19.75 cnf(matrix-1342, plain, ( ~class_Orderings_Opreorder(_u881) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u881), _u882), _u883)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u881), _u883), _u882)) )).
% 19.51/19.75 cnf(matrix-1343, plain, ( ~class_Orderings_Opreorder(_u884) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u884), _u885), _u886)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u884), _u886), _u885)) )).
% 19.51/19.75 cnf(matrix-1344, plain, ( ~class_Orderings_Oorder(_u887) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u887), _u888), _u889)) | ( _u888 != _u889) )).
% 19.51/19.75 cnf(matrix-1345, plain, ( ~class_Orderings_Oorder(_u890) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u890), _u891), _u892)) | ( _u892 != _u891) )).
% 19.51/19.75 cnf(matrix-1346, plain, ( ~class_Orderings_Opreorder(_u893) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u893), _u894), _u895)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u893), _u895), _u894)) )).
% 19.51/19.75 cnf(matrix-1347, plain, ( ~class_Orderings_Oorder(_u896) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u896), _u897), _u898)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u896), _u898), _u897)) )).
% 19.51/19.75 cnf(matrix-1348, plain, ( ~class_Orderings_Oord(_u899) | ( _u900 != _u901) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u899), _u901), _u902)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u899), _u900), _u902)) )).
% 19.51/19.75 cnf(matrix-1349, plain, ( ~class_Orderings_Oorder(_u903) | ( _u904 != _u905) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u903), _u906), _u905)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u903), _u906), _u904)) )).
% 19.51/19.75 cnf(matrix-1350, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u907, tc_HOL_Obool)), _u908), _u909)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u907, tc_HOL_Obool)), _u909), _u910)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u907, tc_HOL_Obool)), _u908), _u910)) )).
% 19.51/19.75 cnf(matrix-1351, plain, ( ~class_Orderings_Oord(_u911) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u911), _u912), _u913)) | ( _u913 != _u914) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u911), _u912), _u914)) )).
% 19.51/19.75 cnf(matrix-1352, plain, ( ~class_Orderings_Oorder(_u915) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u915), _u916), _u917)) | ( _u916 != _u918) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u915), _u918), _u917)) )).
% 19.51/19.75 cnf(matrix-1353, plain, ( ~class_Orderings_Opreorder(_u919) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u919), _u920), _u921)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u919), _u921), _u922)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u919), _u920), _u922)) )).
% 19.51/19.75 cnf(matrix-1354, plain, ( ~class_Orderings_Oorder(_u923) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u923), _u924), _u925)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u923), _u926), _u924)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u923), _u926), _u925)) )).
% 19.51/19.75 cnf(matrix-1355, plain, ( ~class_Orderings_Opreorder(_u927) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u927), _u928), _u929)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u927), _u929), _u928)) )).
% 19.51/19.75 cnf(matrix-1356, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u930, _u931, _u932, _u933, _u934), _u935)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u930), _u934)) )).
% 19.51/19.75 cnf(matrix-1357, plain, ( ~class_Orderings_Olinorder(_u936) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u936), _u937), _u938)) | ( _u937 = _u938) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u936), _u938), _u937)) )).
% 19.51/19.75 cnf(matrix-1358, plain, ( ~class_Groups_Oordered__ab__group__add(_u939) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u939), _u940), _u941) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u939), _u942), _u943)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u939), _u940), _u941)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u939), _u942), _u943)) )).
% 19.51/19.75 cnf(matrix-1359, plain, ( ~class_Groups_Oordered__ab__group__add(_u939) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u939), _u940), _u941) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u939), _u942), _u943)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u939), _u942), _u943)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u939), _u940), _u941)) )).
% 19.51/19.75 cnf(matrix-1360, plain, ( c_Nitpick_Ofold__graph_H(_u944, _u945, _u946, _u947, c_Orderings_Obot__class_Obot(tc_fun(_u944, tc_HOL_Obool)), _u947) )).
% 19.51/19.75 cnf(matrix-1361, plain, ( c_Nitpick_Ofold__graph_H(_u948, _u949, _u950, _u951, c_Orderings_Obot__class_Obot(tc_fun(_u948, tc_HOL_Obool)), _u951) )).
% 19.51/19.75 cnf(matrix-1362, plain, ( ~class_Orderings_Oord(_u952) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u953, _u952)), _u954), _u955)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u953, _u952)), _u954), _u955)) )).
% 19.51/19.75 cnf(matrix-1363, plain, ( ~class_Orderings_Oord(_u952) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u953, _u952)), _u954), _u955)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u953, _u952)), _u955), _u954)) )).
% 19.51/19.75 cnf(matrix-1364, plain, ( ~class_Orderings_Oord(_u952) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u953, _u952)), _u954), _u955)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u953, _u952)), _u955), _u954)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u953, _u952)), _u954), _u955)) )).
% 19.51/19.75 cnf(matrix-1365, plain, ( ~class_Orderings_Olinorder(_u956) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u956), _u957), _u958)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u956), _u958), _u957)) )).
% 19.51/19.75 cnf(matrix-1366, plain, ( ~class_Orderings_Olinorder(_u956) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u956), _u958), _u957)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u956), _u957), _u958)) )).
% 19.51/19.75 cnf(matrix-1367, plain, ( ~class_Orderings_Olinorder(_u959) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u959), _u960), _u961)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u959), _u961), _u960)) )).
% 19.51/19.75 cnf(matrix-1368, plain, ( ~class_Orderings_Olinorder(_u959) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u959), _u961), _u960)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u959), _u960), _u961)) )).
% 19.51/19.75 cnf(matrix-1369, plain, ( ~class_Orderings_Olinorder(_u962) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u962), _u963), _u964)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u962), _u964), _u963)) )).
% 19.51/19.75 cnf(matrix-1370, plain, ( ~class_Orderings_Oorder(_u965) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u965), _u966), _u967)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u965), _u966), _u967)) )).
% 19.51/19.75 cnf(matrix-1371, plain, ( ~class_Orderings_Oorder(_u965) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u965), _u966), _u967)) | ( _u966 != _u967) )).
% 19.51/19.75 cnf(matrix-1372, plain, ( ~class_Orderings_Oorder(_u965) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u965), _u966), _u967)) | ( _u966 = _u967) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u965), _u966), _u967)) )).
% 19.51/19.75 cnf(matrix-1373, plain, ( ~class_Orderings_Opreorder(_u968) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u968), _u969), _u970)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u968), _u969), _u970)) )).
% 19.51/19.75 cnf(matrix-1374, plain, ( ~class_Orderings_Opreorder(_u968) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u968), _u969), _u970)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u968), _u970), _u969)) )).
% 19.51/19.75 cnf(matrix-1375, plain, ( ~class_Orderings_Opreorder(_u968) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u968), _u969), _u970)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u968), _u970), _u969)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u968), _u969), _u970)) )).
% 19.51/19.75 cnf(matrix-1376, plain, ( ~class_Orderings_Oorder(_u971) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u971), _u972), _u973)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u971), _u972), _u973)) | ( _u972 = _u973) )).
% 19.51/19.75 cnf(matrix-1377, plain, ( ~class_Orderings_Oorder(_u971) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u971), _u972), _u973)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u971), _u972), _u973)) )).
% 19.51/19.75 cnf(matrix-1378, plain, ( ~class_Orderings_Oorder(_u971) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u971), _u972), _u973)) | ( _u972 != _u973) )).
% 19.51/19.75 cnf(matrix-1379, plain, ( ~class_Orderings_Olinorder(_u974) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u974), _u975), _u976)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u974), _u976), _u975)) )).
% 19.51/19.75 cnf(matrix-1380, plain, ( ~class_Orderings_Olinorder(_u977) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u977), _u978), _u979)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u977), _u979), _u978)) )).
% 19.51/19.75 cnf(matrix-1381, plain, ( ~class_Orderings_Olinorder(_u980) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u980), _u981), _u982)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u980), _u981), _u982)) | ( _u981 = _u982) )).
% 19.51/19.75 cnf(matrix-1382, plain, ( ~class_Orderings_Olinorder(_u980) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u980), _u981), _u982)) | ( _u981 != _u982) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u980), _u981), _u982)) )).
% 19.51/19.75 cnf(matrix-1383, plain, ( ~class_Orderings_Oorder(_u983) | ( _u984 = _u985) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u983), _u984), _u985)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u983), _u984), _u985)) )).
% 19.51/19.75 cnf(matrix-1384, plain, ( ~class_Orderings_Oorder(_u986) | ( _u987 = _u988) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u986), _u988), _u987)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u986), _u988), _u987)) )).
% 19.51/19.75 cnf(matrix-1385, plain, ( ~class_Orderings_Olinorder(_u989) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u989), _u990), _u991)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u989), _u991), _u990)) )).
% 19.51/19.75 cnf(matrix-1386, plain, ( ~class_Orderings_Opreorder(_u992) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u992), _u993), _u994)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u992), _u993), _u994)) )).
% 19.51/19.75 cnf(matrix-1387, plain, ( ~class_Orderings_Olinorder(_u995) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u995), _u996), _u997)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u995), _u996), _u997)) | ( _u996 = _u997) )).
% 19.51/19.75 cnf(matrix-1388, plain, ( ~class_Orderings_Olinorder(_u995) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u995), _u996), _u997)) | ( _u996 != _u997) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u995), _u996), _u997)) )).
% 19.51/19.75 cnf(matrix-1389, plain, ( ~class_Orderings_Oorder(_u998) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u998), _u999), _u1000)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u998), _u999), _u1000)) | ( _u999 = _u1000) )).
% 19.51/19.75 cnf(matrix-1390, plain, ( ~class_Orderings_Oorder(_u1001) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1001), _u1002), _u1003)) | ( _u1002 = _u1003) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1001), _u1002), _u1003)) )).
% 19.51/19.75 cnf(matrix-1391, plain, ( ~class_Orderings_Oorder(_u1004) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1004), _u1005), _u1006)) | ( _u1006 = _u1005) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1004), _u1005), _u1006)) )).
% 19.51/19.75 cnf(matrix-1392, plain, ( ~class_Orderings_Opreorder(_u1007) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1007), _u1008), _u1009)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1007), _u1009), _u1010)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1007), _u1008), _u1010)) )).
% 19.51/19.75 cnf(matrix-1393, plain, ( ~class_Orderings_Oorder(_u1011) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1011), _u1012), _u1013)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1011), _u1014), _u1012)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1011), _u1014), _u1013)) )).
% 19.51/19.75 cnf(matrix-1394, plain, ( ~class_Orderings_Opreorder(_u1015) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1015), _u1016), _u1017)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1015), _u1017), _u1018)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1015), _u1016), _u1018)) )).
% 19.51/19.75 cnf(matrix-1395, plain, ( ~class_Orderings_Oorder(_u1019) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1019), _u1020), _u1021)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1019), _u1022), _u1020)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1019), _u1022), _u1021)) )).
% 19.51/19.75 cnf(matrix-1396, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1023, tc_HOL_Obool)), _u1024), _u1025)) | ~hBOOL(hAPP(hAPP(c_member(_u1023), _u1026), _u1024)) | hBOOL(hAPP(hAPP(c_member(_u1023), _u1026), _u1025)) )).
% 19.51/19.75 cnf(matrix-1397, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1027, tc_HOL_Obool)), _u1028), c_Orderings_Obot__class_Obot(tc_fun(_u1027, tc_HOL_Obool)))) )).
% 19.51/19.75 cnf(matrix-1398, plain, ( ~class_Lattices_Osemilattice__sup(_u1029) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1029), _u1030), _u1031)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1029), _u1030), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1029), _u1032), _u1031))) )).
% 19.51/19.75 cnf(matrix-1399, plain, ( ~class_Lattices_Osemilattice__sup(_u1033) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1033), _u1034), _u1035)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1033), _u1034), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1033), _u1035), _u1036))) )).
% 19.51/19.75 cnf(matrix-1400, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1040, tc_HOL_Obool)), _u1042), _u1044)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1040, tc_HOL_Obool)), _u1042), _u1044)) )).
% 19.51/19.75 cnf(matrix-1401, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1040, tc_HOL_Obool)), _u1042), _u1044)) | ( _u1042 != _u1044) )).
% 19.51/19.75 cnf(matrix-1402, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1041, tc_HOL_Obool)), _u1043), _u1045)) | ( _u1043 = _u1045) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1041, tc_HOL_Obool)), _u1043), _u1045)) )).
% 19.51/19.75 cnf(matrix-1403, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1049, tc_HOL_Obool)), _u1051), _u1053)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1049, tc_HOL_Obool)), _u1051), _u1053)) | ( _u1051 = _u1053) )).
% 19.51/19.75 cnf(matrix-1404, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1050, tc_HOL_Obool)), _u1052), _u1054)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1050, tc_HOL_Obool)), _u1052), _u1054)) )).
% 19.51/19.75 cnf(matrix-1405, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1050, tc_HOL_Obool)), _u1052), _u1054)) | ( _u1052 != _u1054) )).
% 19.51/19.75 cnf(matrix-1406, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1055, tc_HOL_Obool)), _u1056), _u1057)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1055, tc_HOL_Obool)), _u1056), _u1057)) )).
% 19.51/19.75 cnf(matrix-1407, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1058, tc_HOL_Obool)), _u1059), _u1060)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1058, tc_HOL_Obool)), _u1060), _u1061)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1058, tc_HOL_Obool)), _u1059), _u1061)) )).
% 19.51/19.75 cnf(matrix-1408, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1062, tc_HOL_Obool)), _u1063), _u1064)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1062, tc_HOL_Obool)), _u1064), _u1065)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1062, tc_HOL_Obool)), _u1063), _u1065)) )).
% 19.51/19.75 cnf(matrix-1409, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u1066), c_Orderings_Obot__class_Obot(tc_fun(_u1066, tc_HOL_Obool)))) )).
% 19.51/19.75 cnf(matrix-1410, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1070), hAPP(hAPP(c_Set_Oinsert(_u1070), _u1072), _u1074))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1070), _u1074)) )).
% 19.51/19.75 cnf(matrix-1411, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1071), _u1075)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1071), hAPP(hAPP(c_Set_Oinsert(_u1071), _u1073), _u1075))) )).
% 19.51/19.75 cnf(matrix-1412, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1076), _u1077)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1076, tc_HOL_Obool)), _u1078), _u1077)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1076), _u1078)) )).
% 19.51/19.75 cnf(matrix-1413, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1079, tc_HOL_Obool)), _u1080), _u1081)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1079), _u1081)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1079), _u1080)) )).
% 19.51/19.75 cnf(matrix-1414, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1085), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1085, tc_HOL_Obool)), _u1087), _u1089))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1085), _u1087)) )).
% 19.51/19.75 cnf(matrix-1415, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1085), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1085, tc_HOL_Obool)), _u1087), _u1089))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1085), _u1089)) )).
% 19.51/19.75 cnf(matrix-1416, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1086), _u1088)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1086), _u1090)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1086), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1086, tc_HOL_Obool)), _u1088), _u1090))) )).
% 19.51/19.75 cnf(matrix-1417, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1091), _u1092)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1091), _u1093)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1091), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1091, tc_HOL_Obool)), _u1092), _u1093))) )).
% 19.51/19.75 cnf(matrix-1418, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1094), _u1095)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1094), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1094, tc_HOL_Obool)), _u1096), _u1095))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1094), _u1096)) )).
% 19.51/19.75 cnf(matrix-1419, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1094), _u1095)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1094), _u1096)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1094), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1094, tc_HOL_Obool)), _u1096), _u1095))) )).
% 19.51/19.75 cnf(matrix-1420, plain, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1097, _u1098, _u1099, _u1100, c_Orderings_Obot__class_Obot(tc_fun(_u1097, tc_HOL_Obool))), _u1100)) )).
% 19.51/19.75 cnf(matrix-1421, plain, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1101, _u1102, _u1103, _u1104, c_Orderings_Obot__class_Obot(tc_fun(_u1101, tc_HOL_Obool))), _u1104)) )).
% 19.51/19.75 cnf(matrix-1422, plain, ( ( _u1109 = _u1108) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1105, _u1106, _u1107, _u1108, c_Orderings_Obot__class_Obot(tc_fun(_u1105, tc_HOL_Obool))), _u1109)) )).
% 19.51/19.75 cnf(matrix-1423, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1114), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1114, tc_HOL_Obool)), _u1116), hAPP(hAPP(c_Set_Oinsert(_u1114), _u1118), _u1120)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1114), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1114, tc_HOL_Obool)), _u1116), _u1120))) )).
% 19.51/19.75 cnf(matrix-1424, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1115), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1115, tc_HOL_Obool)), _u1117), _u1121))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1115), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1115, tc_HOL_Obool)), _u1117), hAPP(hAPP(c_Set_Oinsert(_u1115), _u1119), _u1121)))) )).
% 19.51/19.75 cnf(matrix-1425, plain, ( hBOOL(hAPP(hAPP(c_member(_u1122), _u1123), _u1124)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1122, _u1125, _u1126, _u1127, _u1124), _u1128)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1122, _u1125, _u1126, _u1127, hAPP(hAPP(c_Set_Oinsert(_u1122), _u1123), _u1124)), hAPP(hAPP(_u1126, _u1123), _u1128))) )).
% 19.51/19.75 cnf(matrix-1426, plain, ( ~c_Finite__Set_Ofolding__one(_u1129, _u1130, _u1131) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1129), _u1132)) | ( hAPP(_u1131, _u1132) = hAPP(c_Finite__Set_Ofold1(_u1129, _u1130), _u1132)) )).
% 19.51/19.75 cnf(matrix-1427, plain, ( ~class_Groups_Oab__group__add(_u1133) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1133), _u1134), _u1135) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1133), _u1136), _u1137)) | ( _u1134 != _u1135) | ( _u1136 = _u1137) )).
% 19.51/19.75 cnf(matrix-1428, plain, ( ~class_Groups_Oab__group__add(_u1133) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1133), _u1134), _u1135) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1133), _u1136), _u1137)) | ( _u1136 != _u1137) | ( _u1134 = _u1135) )).
% 19.51/19.75 cnf(matrix-1429, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1139), _u1144)) | hBOOL(hAPP(hAPP(c_member(_u1139), _u1145), _u1144)) | ( hAPP(_u1143, hAPP(hAPP(c_Set_Oinsert(_u1139), _u1145), _u1144)) = hAPP(hAPP(_u1140, hAPP(_u1142, _u1145)), hAPP(_u1143, _u1144))) | ~c_Finite__Set_Ofolding__image__simple(_u1138, _u1139, _u1140, _u1141, _u1142, _u1143) )).
% 19.51/19.75 cnf(matrix-1430, plain, ( ~c_Nitpick_Ofold__graph_H(_u1157, _u1159, _u1161, _u1163, _u1165, hAPP(hAPP(_u1161, _u1167), _u1169)) | ( _u1165 = c_Orderings_Obot__class_Obot(tc_fun(_u1157, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1157), skolem13(_u1169, _u1167, _u1165, _u1163, _u1161, _u1159, _u1157)), _u1165)) )).
% 19.51/19.75 cnf(matrix-1431, plain, ( ~c_Nitpick_Ofold__graph_H(_u1157, _u1159, _u1161, _u1163, _u1165, hAPP(hAPP(_u1161, _u1167), _u1169)) | ( _u1165 = c_Orderings_Obot__class_Obot(tc_fun(_u1157, tc_HOL_Obool))) | ( hAPP(hAPP(_u1161, _u1167), _u1169) = hAPP(hAPP(_u1161, skolem13(_u1169, _u1167, _u1165, _u1163, _u1161, _u1159, _u1157)), skolem14(_u1169, _u1167, _u1165, _u1163, _u1161, _u1159, _u1157))) )).
% 19.51/19.75 cnf(matrix-1432, plain, ( ~c_Nitpick_Ofold__graph_H(_u1157, _u1159, _u1161, _u1163, _u1165, hAPP(hAPP(_u1161, _u1167), _u1169)) | ( _u1165 = c_Orderings_Obot__class_Obot(tc_fun(_u1157, tc_HOL_Obool))) | c_Nitpick_Ofold__graph_H(_u1157, _u1159, _u1161, _u1163, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1157, tc_HOL_Obool)), _u1165), hAPP(hAPP(c_Set_Oinsert(_u1157), skolem13(_u1169, _u1167, _u1165, _u1163, _u1161, _u1159, _u1157)), c_Orderings_Obot__class_Obot(tc_fun(_u1157, tc_HOL_Obool)))), skolem14(_u1169, _u1167, _u1165, _u1163, _u1161, _u1159, _u1157)) )).
% 19.51/19.75 cnf(matrix-1433, plain, ( ~c_Nitpick_Ofold__graph_H(_u1157, _u1159, _u1161, _u1163, _u1165, hAPP(hAPP(_u1161, _u1167), _u1169)) | ( hAPP(hAPP(_u1161, _u1167), _u1169) = _u1163) | hBOOL(hAPP(hAPP(c_member(_u1157), skolem13(_u1169, _u1167, _u1165, _u1163, _u1161, _u1159, _u1157)), _u1165)) )).
% 19.51/19.75 cnf(matrix-1434, plain, ( ~c_Nitpick_Ofold__graph_H(_u1157, _u1159, _u1161, _u1163, _u1165, hAPP(hAPP(_u1161, _u1167), _u1169)) | ( hAPP(hAPP(_u1161, _u1167), _u1169) = _u1163) | ( hAPP(hAPP(_u1161, _u1167), _u1169) = hAPP(hAPP(_u1161, skolem13(_u1169, _u1167, _u1165, _u1163, _u1161, _u1159, _u1157)), skolem14(_u1169, _u1167, _u1165, _u1163, _u1161, _u1159, _u1157))) )).
% 19.51/19.75 cnf(matrix-1435, plain, ( ~c_Nitpick_Ofold__graph_H(_u1157, _u1159, _u1161, _u1163, _u1165, hAPP(hAPP(_u1161, _u1167), _u1169)) | ( hAPP(hAPP(_u1161, _u1167), _u1169) = _u1163) | c_Nitpick_Ofold__graph_H(_u1157, _u1159, _u1161, _u1163, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1157, tc_HOL_Obool)), _u1165), hAPP(hAPP(c_Set_Oinsert(_u1157), skolem13(_u1169, _u1167, _u1165, _u1163, _u1161, _u1159, _u1157)), c_Orderings_Obot__class_Obot(tc_fun(_u1157, tc_HOL_Obool)))), skolem14(_u1169, _u1167, _u1165, _u1163, _u1161, _u1159, _u1157)) )).
% 19.51/19.75 cnf(matrix-1436, plain, ( c_Nitpick_Ofold__graph_H(_u1158, _u1160, _u1162, _u1164, _u1166, hAPP(hAPP(_u1162, _u1168), _u1170)) | ( _u1166 != c_Orderings_Obot__class_Obot(tc_fun(_u1158, tc_HOL_Obool))) | ( hAPP(hAPP(_u1162, _u1168), _u1170) != _u1164) )).
% 19.51/19.75 cnf(matrix-1437, plain, ( c_Nitpick_Ofold__graph_H(_u1158, _u1160, _u1162, _u1164, _u1166, hAPP(hAPP(_u1162, _u1168), _u1170)) | ~hBOOL(hAPP(hAPP(c_member(_u1158), _u1149), _u1166)) | ( hAPP(hAPP(_u1162, _u1168), _u1170) != hAPP(hAPP(_u1162, _u1149), _u1148)) | ~c_Nitpick_Ofold__graph_H(_u1158, _u1160, _u1162, _u1164, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1158, tc_HOL_Obool)), _u1166), hAPP(hAPP(c_Set_Oinsert(_u1158), _u1149), c_Orderings_Obot__class_Obot(tc_fun(_u1158, tc_HOL_Obool)))), _u1148) )).
% 19.51/19.75 cnf(matrix-1438, plain, ( ~c_Finite__Set_Ofolding__one(_u1173, _u1174, _u1175) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1173), _u1176)) | ( _u1176 = c_Orderings_Obot__class_Obot(tc_fun(_u1173, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u1173), hAPP(hAPP(_u1174, skolem15(_u1176, _u1175, _u1174, _u1173)), skolem16(_u1176, _u1175, _u1174, _u1173))), hAPP(hAPP(c_Set_Oinsert(_u1173), skolem15(_u1176, _u1175, _u1174, _u1173)), hAPP(hAPP(c_Set_Oinsert(_u1173), skolem16(_u1176, _u1175, _u1174, _u1173)), c_Orderings_Obot__class_Obot(tc_fun(_u1173, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u1173), hAPP(_u1175, _u1176)), _u1176)) )).
% 19.51/19.75 cnf(matrix-1439, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1179), _u1180)) | ~hBOOL(hAPP(_u1181, _u1180)) | hBOOL(hAPP(_u1181, c_Orderings_Obot__class_Obot(tc_fun(_u1179, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1179), skolem18(_u1181, _u1180, _u1179))) )).
% 19.51/19.75 cnf(matrix-1440, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1179), _u1180)) | ~hBOOL(hAPP(_u1181, _u1180)) | hBOOL(hAPP(_u1181, c_Orderings_Obot__class_Obot(tc_fun(_u1179, tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_member(_u1179), skolem17(_u1181, _u1180, _u1179)), skolem18(_u1181, _u1180, _u1179))) )).
% 19.51/19.75 cnf(matrix-1441, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1179), _u1180)) | ~hBOOL(hAPP(_u1181, _u1180)) | hBOOL(hAPP(_u1181, c_Orderings_Obot__class_Obot(tc_fun(_u1179, tc_HOL_Obool)))) | hBOOL(hAPP(_u1181, skolem18(_u1181, _u1180, _u1179))) )).
% 19.51/19.75 cnf(matrix-1442, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1179), _u1180)) | ~hBOOL(hAPP(_u1181, _u1180)) | hBOOL(hAPP(_u1181, c_Orderings_Obot__class_Obot(tc_fun(_u1179, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u1181, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1179, tc_HOL_Obool)), skolem18(_u1181, _u1180, _u1179)), hAPP(hAPP(c_Set_Oinsert(_u1179), skolem17(_u1181, _u1180, _u1179)), c_Orderings_Obot__class_Obot(tc_fun(_u1179, tc_HOL_Obool)))))) )).
% 19.51/19.75 cnf(matrix-1443, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u1182, _u1183, _u1184) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1182), _u1185)) | ( _u1185 = c_Orderings_Obot__class_Obot(tc_fun(_u1182, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1182), _u1186)) | ( _u1186 = c_Orderings_Obot__class_Obot(tc_fun(_u1182, tc_HOL_Obool))) | ( hAPP(_u1184, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1182, tc_HOL_Obool)), _u1185), _u1186)) = hAPP(hAPP(_u1183, hAPP(_u1184, _u1185)), hAPP(_u1184, _u1186))) )).
% 19.51/19.75 cnf(matrix-1444, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u1187, _u1188, _u1189) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1187), _u1190)) | ( _u1191 = c_Orderings_Obot__class_Obot(tc_fun(_u1187, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1187, tc_HOL_Obool)), _u1191), _u1190)) | ( hAPP(hAPP(_u1188, hAPP(_u1189, _u1191)), hAPP(_u1189, _u1190)) = hAPP(_u1189, _u1190)) )).
% 19.51/19.75 cnf(matrix-1445, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1194), _u1195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1194, tc_HOL_Obool)), _u1195), _u1196)) | ~hBOOL(hAPP(_u1197, c_Orderings_Obot__class_Obot(tc_fun(_u1194, tc_HOL_Obool)))) | hBOOL(hAPP(_u1197, _u1195)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1194), skolem20(_u1197, _u1196, _u1195, _u1194))) )).
% 19.51/19.75 cnf(matrix-1446, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1194), _u1195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1194, tc_HOL_Obool)), _u1195), _u1196)) | ~hBOOL(hAPP(_u1197, c_Orderings_Obot__class_Obot(tc_fun(_u1194, tc_HOL_Obool)))) | hBOOL(hAPP(_u1197, _u1195)) | hBOOL(hAPP(hAPP(c_member(_u1194), skolem19(_u1197, _u1196, _u1195, _u1194)), _u1196)) )).
% 19.51/19.75 cnf(matrix-1447, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1194), _u1195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1194, tc_HOL_Obool)), _u1195), _u1196)) | ~hBOOL(hAPP(_u1197, c_Orderings_Obot__class_Obot(tc_fun(_u1194, tc_HOL_Obool)))) | hBOOL(hAPP(_u1197, _u1195)) | ~hBOOL(hAPP(hAPP(c_member(_u1194), skolem19(_u1197, _u1196, _u1195, _u1194)), skolem20(_u1197, _u1196, _u1195, _u1194))) )).
% 19.51/19.75 cnf(matrix-1448, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1194), _u1195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1194, tc_HOL_Obool)), _u1195), _u1196)) | ~hBOOL(hAPP(_u1197, c_Orderings_Obot__class_Obot(tc_fun(_u1194, tc_HOL_Obool)))) | hBOOL(hAPP(_u1197, _u1195)) | hBOOL(hAPP(_u1197, skolem20(_u1197, _u1196, _u1195, _u1194))) )).
% 19.51/19.75 cnf(matrix-1449, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1194), _u1195)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1194, tc_HOL_Obool)), _u1195), _u1196)) | ~hBOOL(hAPP(_u1197, c_Orderings_Obot__class_Obot(tc_fun(_u1194, tc_HOL_Obool)))) | hBOOL(hAPP(_u1197, _u1195)) | ~hBOOL(hAPP(_u1197, hAPP(hAPP(c_Set_Oinsert(_u1194), skolem19(_u1197, _u1196, _u1195, _u1194)), skolem20(_u1197, _u1196, _u1195, _u1194)))) )).
% 19.51/19.75 cnf(matrix-1450, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u1198, _u1199, _u1200) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1198), _u1201)) | ( _u1201 = c_Orderings_Obot__class_Obot(tc_fun(_u1198, tc_HOL_Obool))) | ( hAPP(_u1200, hAPP(hAPP(c_Set_Oinsert(_u1198), _u1202), _u1201)) = hAPP(hAPP(_u1199, _u1202), hAPP(_u1200, _u1201))) )).
% 19.51/19.75 cnf(matrix-1451, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1205, _u1206, hAPP(hAPP(c_Set_Oinsert(_u1205), _u1207), _u1208)), _u1209)) | ( hAPP(hAPP(c_Set_Oinsert(_u1205), _u1207), _u1208) = hAPP(hAPP(c_Set_Oinsert(_u1205), skolem21(_u1209, _u1208, _u1207, _u1206, _u1205)), skolem22(_u1209, _u1208, _u1207, _u1206, _u1205))) )).
% 19.51/19.75 cnf(matrix-1452, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1205, _u1206, hAPP(hAPP(c_Set_Oinsert(_u1205), _u1207), _u1208)), _u1209)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1205, _u1205, _u1206, skolem21(_u1209, _u1208, _u1207, _u1206, _u1205), skolem22(_u1209, _u1208, _u1207, _u1206, _u1205)), _u1209)) )).
% 19.51/19.75 cnf(matrix-1453, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1205, _u1206, hAPP(hAPP(c_Set_Oinsert(_u1205), _u1207), _u1208)), _u1209)) | ~hBOOL(hAPP(hAPP(c_member(_u1205), skolem21(_u1209, _u1208, _u1207, _u1206, _u1205)), skolem22(_u1209, _u1208, _u1207, _u1206, _u1205))) )).
% 19.51/19.75 cnf(matrix-1454, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1219, _u1221, hAPP(hAPP(c_Set_Oinsert(_u1219), _u1223), _u1225)), _u1227)) | ( hAPP(hAPP(c_Set_Oinsert(_u1219), _u1223), _u1225) = hAPP(hAPP(c_Set_Oinsert(_u1219), skolem23(_u1227, _u1225, _u1223, _u1221, _u1219)), skolem24(_u1227, _u1225, _u1223, _u1221, _u1219))) )).
% 19.51/19.75 cnf(matrix-1455, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1219, _u1221, hAPP(hAPP(c_Set_Oinsert(_u1219), _u1223), _u1225)), _u1227)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1219, _u1219, _u1221, skolem23(_u1227, _u1225, _u1223, _u1221, _u1219), skolem24(_u1227, _u1225, _u1223, _u1221, _u1219)), _u1227)) )).
% 19.51/19.75 cnf(matrix-1456, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1219, _u1221, hAPP(hAPP(c_Set_Oinsert(_u1219), _u1223), _u1225)), _u1227)) | ~hBOOL(hAPP(hAPP(c_member(_u1219), skolem23(_u1227, _u1225, _u1223, _u1221, _u1219)), skolem24(_u1227, _u1225, _u1223, _u1221, _u1219))) )).
% 19.51/19.75 cnf(matrix-1457, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u1220), _u1224), _u1226) != hAPP(hAPP(c_Set_Oinsert(_u1220), _u1213), _u1212)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1220, _u1220, _u1222, _u1213, _u1212), _u1228)) | hBOOL(hAPP(hAPP(c_member(_u1220), _u1213), _u1212)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u1220, _u1222, hAPP(hAPP(c_Set_Oinsert(_u1220), _u1224), _u1226)), _u1228)) )).
% 19.51/19.75 cnf(matrix-1458, plain, ( ~class_Groups_Oab__semigroup__mult(_u1229) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1229, _u1229, c_Groups_Otimes__class_Otimes(_u1229), _u1230, _u1231), _u1232)) | ~hBOOL(hAPP(hAPP(c_member(_u1229), _u1233), _u1231)) | hBOOL(hAPP(hAPP(c_member(_u1229), _u1230), _u1231)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1229, _u1229, c_Groups_Otimes__class_Otimes(_u1229), _u1233, hAPP(hAPP(c_Set_Oinsert(_u1229), _u1230), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1229, tc_HOL_Obool)), _u1231), hAPP(hAPP(c_Set_Oinsert(_u1229), _u1233), c_Orderings_Obot__class_Obot(tc_fun(_u1229, tc_HOL_Obool)))))), _u1232)) )).
% 19.51/19.75 cnf(matrix-1459, plain, ( ~class_Groups_Oab__semigroup__mult(_u1234) | ( _u1235 = c_Orderings_Obot__class_Obot(tc_fun(_u1234, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1234), _u1235)) | hBOOL(hAPP(hAPP(c_member(_u1234), _u1236), _u1235)) | ( hAPP(c_Finite__Set_Ofold1(_u1234, c_Groups_Otimes__class_Otimes(_u1234)), hAPP(hAPP(c_Set_Oinsert(_u1234), _u1236), _u1235)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1234), _u1236), hAPP(c_Finite__Set_Ofold1(_u1234, c_Groups_Otimes__class_Otimes(_u1234)), _u1235))) )).
% 19.51/19.75 cnf(matrix-1460, plain, ( ~class_Groups_Oab__semigroup__mult(_u1237) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1237), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1237), _u1238), _u1239)), _u1240) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1237), _u1238), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1237), _u1239), _u1240))) )).
% 19.51/19.75 cnf(matrix-1461, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u1241) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1241), _u1242), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1241), _u1242), _u1243)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1241), _u1242), _u1243)) )).
% 19.51/19.75 cnf(matrix-1462, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u1244) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1244), _u1245), _u1245) = _u1245) )).
% 19.51/19.75 cnf(matrix-1463, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u1246) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1246), _u1247), _u1247) = _u1247) )).
% 19.51/19.75 cnf(matrix-1464, plain, ( ( hAPP(hAPP(_u1249, _u1251), _u1251) = _u1251) | ~c_Finite__Set_Ofolding__one__idem(_u1248, _u1249, _u1250) )).
% 19.51/19.75 cnf(matrix-1465, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u1252) | c_Finite__Set_Ofun__left__comm__idem(_u1252, _u1252, c_Groups_Otimes__class_Otimes(_u1252)) )).
% 19.51/19.75 cnf(matrix-1466, plain, ( ~class_Groups_Oab__semigroup__mult(_u1253) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1253, _u1253, c_Groups_Otimes__class_Otimes(_u1253), _u1254, _u1255), _u1256)) | hBOOL(hAPP(hAPP(c_member(_u1253), _u1254), _u1255)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1253, _u1253, c_Groups_Otimes__class_Otimes(_u1253), _u1257, hAPP(hAPP(c_Set_Oinsert(_u1253), _u1254), _u1255)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1253), _u1257), _u1256))) )).
% 19.51/19.75 cnf(matrix-1467, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u1258, _u1259, _u1260) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1258), _u1261)) | ~hBOOL(hAPP(hAPP(c_member(_u1258), _u1262), _u1261)) | ( hAPP(hAPP(_u1259, _u1262), hAPP(_u1260, _u1261)) = hAPP(_u1260, _u1261)) )).
% 19.51/19.75 cnf(matrix-1468, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u1263) | ( _u1264 = c_Orderings_Obot__class_Obot(tc_fun(_u1263, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1263), _u1264)) | ( hAPP(c_Finite__Set_Ofold1(_u1263, c_Groups_Otimes__class_Otimes(_u1263)), hAPP(hAPP(c_Set_Oinsert(_u1263), _u1265), _u1264)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1263), _u1265), hAPP(c_Finite__Set_Ofold1(_u1263, c_Groups_Otimes__class_Otimes(_u1263)), _u1264))) )).
% 19.51/19.75 cnf(matrix-1469, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u1266) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1266), _u1267)) | ( _u1267 = c_Orderings_Obot__class_Obot(tc_fun(_u1266, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1266), _u1268)) | ( _u1268 = c_Orderings_Obot__class_Obot(tc_fun(_u1266, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u1266, c_Groups_Otimes__class_Otimes(_u1266)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1266, tc_HOL_Obool)), _u1267), _u1268)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1266), hAPP(c_Finite__Set_Ofold1(_u1266, c_Groups_Otimes__class_Otimes(_u1266)), _u1267)), hAPP(c_Finite__Set_Ofold1(_u1266, c_Groups_Otimes__class_Otimes(_u1266)), _u1268))) )).
% 19.51/19.75 cnf(matrix-1470, plain, ( ~class_Groups_Oab__semigroup__mult(_u1271) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1271), _u1272)) | ( _u1272 = c_Orderings_Obot__class_Obot(tc_fun(_u1271, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u1271), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1271), skolem25(_u1272, _u1271)), skolem26(_u1272, _u1271))), hAPP(hAPP(c_Set_Oinsert(_u1271), skolem25(_u1272, _u1271)), hAPP(hAPP(c_Set_Oinsert(_u1271), skolem26(_u1272, _u1271)), c_Orderings_Obot__class_Obot(tc_fun(_u1271, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u1271), hAPP(c_Finite__Set_Ofold1(_u1271, c_Groups_Otimes__class_Otimes(_u1271)), _u1272)), _u1272)) )).
% 19.51/19.75 cnf(matrix-1471, plain, ( ~class_Groups_Oab__semigroup__mult(_u1273) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1273), _u1274)) | ( _u1274 = c_Orderings_Obot__class_Obot(tc_fun(_u1273, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1273), _u1275)) | ( _u1275 = c_Orderings_Obot__class_Obot(tc_fun(_u1273, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1273, tc_HOL_Obool)), _u1274), _u1275) != c_Orderings_Obot__class_Obot(tc_fun(_u1273, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u1273, c_Groups_Otimes__class_Otimes(_u1273)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1273, tc_HOL_Obool)), _u1274), _u1275)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1273), hAPP(c_Finite__Set_Ofold1(_u1273, c_Groups_Otimes__class_Otimes(_u1273)), _u1274)), hAPP(c_Finite__Set_Ofold1(_u1273, c_Groups_Otimes__class_Otimes(_u1273)), _u1275))) )).
% 19.51/19.75 cnf(matrix-1472, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1277), _u1282)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1277), _u1283)) | ( hAPP(_u1281, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1277, tc_HOL_Obool)), _u1282), _u1283)) = hAPP(hAPP(_u1278, hAPP(_u1281, _u1282)), hAPP(_u1281, _u1283))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u1276, _u1277, _u1278, _u1279, _u1280, _u1281) )).
% 19.51/19.75 cnf(matrix-1473, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1285), _u1290)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1285, tc_HOL_Obool)), _u1291), _u1290)) | ( hAPP(hAPP(_u1286, hAPP(_u1289, _u1291)), hAPP(_u1289, _u1290)) = hAPP(_u1289, _u1290)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u1284, _u1285, _u1286, _u1287, _u1288, _u1289) )).
% 19.51/19.75 cnf(matrix-1474, plain, ( ~class_Groups_Oab__semigroup__mult(_u1292) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1292), _u1293)) | hBOOL(hAPP(hAPP(c_member(_u1292), _u1294), _u1293)) | ( hAPP(c_Finite__Set_Ofold1(_u1292, c_Groups_Otimes__class_Otimes(_u1292)), hAPP(hAPP(c_Set_Oinsert(_u1292), _u1294), _u1293)) = hAPP(hAPP(c_Finite__Set_Ofold(_u1292, _u1292, c_Groups_Otimes__class_Otimes(_u1292)), _u1294), _u1293)) )).
% 19.51/19.75 cnf(matrix-1475, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1296), _u1301)) | ( hAPP(_u1300, hAPP(hAPP(c_Set_Oinsert(_u1296), _u1302), _u1301)) = hAPP(hAPP(_u1297, hAPP(_u1299, _u1302)), hAPP(_u1300, _u1301))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u1295, _u1296, _u1297, _u1298, _u1299, _u1300) )).
% 19.51/19.75 cnf(matrix-1476, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1305), _u1306)) | ~hBOOL(hAPP(_u1307, c_Orderings_Obot__class_Obot(tc_fun(_u1305, tc_HOL_Obool)))) | hBOOL(hAPP(_u1307, _u1306)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u1305), skolem28(_u1307, _u1306, _u1305))) )).
% 19.51/19.75 cnf(matrix-1477, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1305), _u1306)) | ~hBOOL(hAPP(_u1307, c_Orderings_Obot__class_Obot(tc_fun(_u1305, tc_HOL_Obool)))) | hBOOL(hAPP(_u1307, _u1306)) | ~hBOOL(hAPP(hAPP(c_member(_u1305), skolem27(_u1307, _u1306, _u1305)), skolem28(_u1307, _u1306, _u1305))) )).
% 19.51/19.75 cnf(matrix-1478, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1305), _u1306)) | ~hBOOL(hAPP(_u1307, c_Orderings_Obot__class_Obot(tc_fun(_u1305, tc_HOL_Obool)))) | hBOOL(hAPP(_u1307, _u1306)) | hBOOL(hAPP(_u1307, skolem28(_u1307, _u1306, _u1305))) )).
% 19.51/19.75 cnf(matrix-1479, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1305), _u1306)) | ~hBOOL(hAPP(_u1307, c_Orderings_Obot__class_Obot(tc_fun(_u1305, tc_HOL_Obool)))) | hBOOL(hAPP(_u1307, _u1306)) | ~hBOOL(hAPP(_u1307, hAPP(hAPP(c_Set_Oinsert(_u1305), skolem27(_u1307, _u1306, _u1305)), skolem28(_u1307, _u1306, _u1305)))) )).
% 19.51/19.75 cnf(matrix-1480, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1309), _u1314)) | ~hBOOL(hAPP(hAPP(c_member(_u1309), _u1315), _u1314)) | ( hAPP(hAPP(_u1310, hAPP(_u1312, _u1315)), hAPP(_u1313, _u1314)) = hAPP(_u1313, _u1314)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u1308, _u1309, _u1310, _u1311, _u1312, _u1313) )).
% 19.51/19.75 cnf(matrix-1481, plain, ( ~class_Lattices_Olattice(_u1316) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1316), _u1317)) | ~hBOOL(hAPP(hAPP(c_member(_u1316), _u1318), _u1317)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1316, tc_HOL_Obool)), _u1317), hAPP(hAPP(c_Set_Oinsert(_u1316), _u1318), c_Orderings_Obot__class_Obot(tc_fun(_u1316, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u1316, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1316, _u1317) = _u1318) )).
% 19.51/19.75 cnf(matrix-1482, plain, ( ~class_Lattices_Olattice(_u1316) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1316), _u1317)) | ~hBOOL(hAPP(hAPP(c_member(_u1316), _u1318), _u1317)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1316, tc_HOL_Obool)), _u1317), hAPP(hAPP(c_Set_Oinsert(_u1316), _u1318), c_Orderings_Obot__class_Obot(tc_fun(_u1316, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u1316, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1316, _u1317) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1316), _u1318), c_Big__Operators_Olattice__class_OSup__fin(_u1316, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1316, tc_HOL_Obool)), _u1317), hAPP(hAPP(c_Set_Oinsert(_u1316), _u1318), c_Orderings_Obot__class_Obot(tc_fun(_u1316, tc_HOL_Obool))))))) )).
% 19.51/19.75 cnf(matrix-1483, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1319), _u1320)) | ~hBOOL(hAPP(hAPP(c_member(_u1319), _u1321), _u1320)) | ~hBOOL(hAPP(hAPP(c_member(_u1319), _u1322), _u1320)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u1319), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1319, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1319, tc_HOL_Obool)), _u1320), hAPP(hAPP(c_Set_Oinsert(_u1319), _u1321), c_Orderings_Obot__class_Obot(tc_fun(_u1319, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u1319), _u1322), c_Orderings_Obot__class_Obot(tc_fun(_u1319, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u1319), _u1320))) )).
% 19.51/19.75 cnf(matrix-1484, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1323), _u1324)) | ~hBOOL(hAPP(hAPP(c_member(_u1323), _u1325), _u1324)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u1323), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1323, tc_HOL_Obool)), _u1324), hAPP(hAPP(c_Set_Oinsert(_u1323), _u1325), c_Orderings_Obot__class_Obot(tc_fun(_u1323, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u1323), _u1324))) )).
% 19.51/19.75 cnf(matrix-1485, plain, ( ~hBOOL(hAPP(_u1326, _u1327)) | ~hBOOL(hAPP(_u1328, _u1327)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1329, tc_HOL_Obool)), _u1326), _u1328), _u1327)) )).
% 19.51/19.75 cnf(matrix-1486, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1330, tc_HOL_Obool)), _u1331), _u1332), _u1333)) | hBOOL(hAPP(_u1331, _u1333)) )).
% 19.51/19.75 cnf(matrix-1487, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1330, tc_HOL_Obool)), _u1331), _u1332), _u1333)) | hBOOL(hAPP(_u1332, _u1333)) )).
% 19.51/19.75 cnf(matrix-1488, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1334), _u1335), _u1336)) | ~hBOOL(hAPP(hAPP(c_member(_u1334), _u1335), _u1337)) | hBOOL(hAPP(hAPP(c_member(_u1334), _u1335), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1334, tc_HOL_Obool)), _u1336), _u1337))) )).
% 19.51/19.75 cnf(matrix-1489, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1338), _u1339), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1338, tc_HOL_Obool)), _u1340), _u1341))) | hBOOL(hAPP(hAPP(c_member(_u1338), _u1339), _u1340)) )).
% 19.51/19.75 cnf(matrix-1490, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1338), _u1339), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1338, tc_HOL_Obool)), _u1340), _u1341))) | hBOOL(hAPP(hAPP(c_member(_u1338), _u1339), _u1341)) )).
% 19.51/19.75 cnf(matrix-1491, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u1342), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1342, tc_HOL_Obool)), _u1343), _u1344))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1342), _u1343)) )).
% 19.51/19.75 cnf(matrix-1492, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u1342), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1342, tc_HOL_Obool)), _u1343), _u1344))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1342), _u1344)) )).
% 19.51/19.75 cnf(matrix-1493, plain, ( ~class_Lattices_Osemilattice__inf(_u1345) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1345), _u1346), _u1346) = _u1346) )).
% 19.51/19.75 cnf(matrix-1494, plain, ( ~class_Lattices_Osemilattice__inf(_u1347) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1347), _u1348), _u1348) = _u1348) )).
% 19.51/19.75 cnf(matrix-1495, plain, ( ~class_Lattices_Osemilattice__inf(_u1349) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1349), _u1350), _u1351) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1349), _u1351), _u1350)) )).
% 19.51/19.75 cnf(matrix-1496, plain, ( ~class_Lattices_Olattice(_u1352) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1352), _u1353), _u1354) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1352), _u1354), _u1353)) )).
% 19.51/19.75 cnf(matrix-1497, plain, ( ~class_Lattices_Osemilattice__inf(_u1355) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1355), _u1356), _u1357) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1355), _u1357), _u1356)) )).
% 19.51/19.75 cnf(matrix-1498, plain, ( ~class_Lattices_Osemilattice__inf(_u1358) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1358), _u1359), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1358), _u1359), _u1360)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1358), _u1359), _u1360)) )).
% 19.51/19.75 cnf(matrix-1499, plain, ( ~class_Lattices_Olattice(_u1361) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1361), _u1362), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1361), _u1362), _u1363)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1361), _u1362), _u1363)) )).
% 19.51/19.75 cnf(matrix-1500, plain, ( ~class_Lattices_Osemilattice__inf(_u1364) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1364), _u1365), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1364), _u1365), _u1366)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1364), _u1365), _u1366)) )).
% 19.51/19.75 cnf(matrix-1501, plain, ( ~class_Lattices_Osemilattice__inf(_u1367) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1367), _u1368), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1367), _u1369), _u1370)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1367), _u1369), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1367), _u1368), _u1370))) )).
% 19.51/19.75 cnf(matrix-1502, plain, ( ~class_Lattices_Olattice(_u1371) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1371), _u1372), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1371), _u1373), _u1374)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1371), _u1373), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1371), _u1372), _u1374))) )).
% 19.51/19.75 cnf(matrix-1503, plain, ( ~class_Lattices_Osemilattice__inf(_u1375) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1375), _u1376), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1375), _u1377), _u1378)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1375), _u1377), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1375), _u1376), _u1378))) )).
% 19.51/19.75 cnf(matrix-1504, plain, ( ~class_Lattices_Osemilattice__inf(_u1379) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1379), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1379), _u1380), _u1381)), _u1382) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1379), _u1380), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1379), _u1381), _u1382))) )).
% 19.51/19.75 cnf(matrix-1505, plain, ( ~class_Lattices_Olattice(_u1383) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1383), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1383), _u1384), _u1385)), _u1386) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1383), _u1384), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1383), _u1385), _u1386))) )).
% 19.51/19.75 cnf(matrix-1506, plain, ( ~class_Lattices_Osemilattice__inf(_u1387) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1387), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1387), _u1388), _u1389)), _u1390) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1387), _u1388), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1387), _u1389), _u1390))) )).
% 19.51/19.75 cnf(matrix-1507, plain, ( ~class_Lattices_Olattice(_u1391) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1392, _u1391)), _u1393), _u1394), _u1395) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1391), hAPP(_u1393, _u1395)), hAPP(_u1394, _u1395))) )).
% 19.51/19.75 cnf(matrix-1508, plain, ( hBOOL(hAPP(_u1397, _u1399)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1396, tc_HOL_Obool)), _u1397), _u1398), _u1399)) )).
% 19.51/19.75 cnf(matrix-1509, plain, ( hBOOL(hAPP(_u1402, _u1403)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1400, tc_HOL_Obool)), _u1401), _u1402), _u1403)) )).
% 19.51/19.75 cnf(matrix-1510, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1404, tc_HOL_Obool)), _u1405), _u1405) = _u1405) )).
% 19.51/19.75 cnf(matrix-1511, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1406, tc_HOL_Obool)), _u1407), _u1408) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1406, tc_HOL_Obool)), _u1408), _u1407)) )).
% 19.51/19.75 cnf(matrix-1512, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1409, tc_HOL_Obool)), _u1410), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1409, tc_HOL_Obool)), _u1410), _u1411)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1409, tc_HOL_Obool)), _u1410), _u1411)) )).
% 19.51/19.75 cnf(matrix-1513, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1412, tc_HOL_Obool)), _u1413), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1412, tc_HOL_Obool)), _u1414), _u1415)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1412, tc_HOL_Obool)), _u1414), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1412, tc_HOL_Obool)), _u1413), _u1415))) )).
% 19.51/19.75 cnf(matrix-1514, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1416, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1416, tc_HOL_Obool)), _u1417), _u1418)), _u1419) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1416, tc_HOL_Obool)), _u1417), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1416, tc_HOL_Obool)), _u1418), _u1419))) )).
% 19.51/19.75 cnf(matrix-1515, plain, ( ~class_Lattices_Olattice(_u1420) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1420), _u1421), _u1421) = _u1421) )).
% 19.51/19.75 cnf(matrix-1516, plain, ( ~class_Lattices_Osemilattice__inf(_u1422) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1422), _u1423)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u1422, _u1422, c_Lattices_Osemilattice__inf__class_Oinf(_u1422)), _u1424), hAPP(hAPP(c_Set_Oinsert(_u1422), _u1425), _u1423)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1422), _u1425), hAPP(hAPP(c_Finite__Set_Ofold(_u1422, _u1422, c_Lattices_Osemilattice__inf__class_Oinf(_u1422)), _u1424), _u1423))) )).
% 19.51/19.75 cnf(matrix-1517, plain, ( ( hAPP(hAPP(_u1428, _u1432), _u1432) = _u1432) | ~c_Finite__Set_Ofolding__image__simple__idem(_u1426, _u1427, _u1428, _u1429, _u1430, _u1431) )).
% 19.51/19.75 cnf(matrix-1518, plain, ( ~class_Lattices_Olattice(_u1433) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1433), _u1434)) | ~hBOOL(hAPP(hAPP(c_member(_u1433), _u1435), _u1434)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1433), _u1435), c_Big__Operators_Olattice__class_OSup__fin(_u1433, _u1434)) = _u1435) )).
% 19.51/19.75 cnf(matrix-1519, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1436), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1436, tc_HOL_Obool)), _u1437), _u1438))) | ( hAPP(c_Finite__Set_Ocard(_u1436), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1436, tc_HOL_Obool)), _u1437), _u1438)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u1436), _u1437)), hAPP(c_Finite__Set_Ocard(_u1436), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1436, tc_HOL_Obool)), _u1437), _u1438)))) )).
% 19.51/19.75 cnf(matrix-1520, plain, ( ~class_Lattices_Osemilattice__inf(_u1439) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1439), _u1440)) | ~hBOOL(hAPP(hAPP(c_member(_u1439), _u1441), _u1440)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1439), hAPP(hAPP(c_Finite__Set_Ofold(_u1439, _u1439, c_Lattices_Osemilattice__inf__class_Oinf(_u1439)), _u1442), _u1440)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1439), _u1441), _u1442))) )).
% 19.51/19.75 cnf(matrix-1521, plain, ( ~class_Lattices_Osemilattice__inf(_u1443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1443), _u1444), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1443), _u1445), _u1446))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1443), _u1444), _u1445)) )).
% 19.51/19.75 cnf(matrix-1522, plain, ( ~class_Lattices_Osemilattice__inf(_u1443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1443), _u1444), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1443), _u1445), _u1446))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1443), _u1444), _u1446)) )).
% 19.51/19.75 cnf(matrix-1523, plain, ( ~class_Lattices_Osemilattice__inf(_u1447) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1447), _u1448), _u1449)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1447), _u1450), _u1451)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1447), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1447), _u1448), _u1450)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1447), _u1449), _u1451))) )).
% 19.51/19.75 cnf(matrix-1524, plain, ( ~class_Lattices_Osemilattice__inf(_u1452) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1452), _u1453), _u1454)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1452), _u1453), _u1455)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1452), _u1453), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1452), _u1454), _u1455))) )).
% 19.51/19.75 cnf(matrix-1525, plain, ( ~class_Lattices_Osemilattice__inf(_u1456) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1456), _u1457), _u1458)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1456), _u1457), _u1459)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1456), _u1457), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1456), _u1458), _u1459))) )).
% 19.51/19.75 cnf(matrix-1526, plain, ( ~class_Lattices_Osemilattice__inf(_u1460) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1460), _u1461), _u1462)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1460), _u1462), _u1461) = _u1461) )).
% 19.51/19.75 cnf(matrix-1527, plain, ( ~class_Lattices_Osemilattice__inf(_u1463) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1463), _u1464), _u1465)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1463), _u1464), _u1465) = _u1464) )).
% 19.51/19.75 cnf(matrix-1528, plain, ( ~class_Lattices_Osemilattice__inf(_u1466) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1466), _u1467), _u1468)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1466), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1466), _u1469), _u1467)), _u1468)) )).
% 19.51/19.75 cnf(matrix-1529, plain, ( ~class_Lattices_Osemilattice__inf(_u1470) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1470), _u1471), _u1472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1470), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1470), _u1471), _u1473)), _u1472)) )).
% 19.51/19.75 cnf(matrix-1530, plain, ( ~class_Lattices_Osemilattice__inf(_u1474) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1474), _u1475), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1474), _u1476), _u1477))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1474), _u1475), _u1476)) )).
% 19.51/19.75 cnf(matrix-1531, plain, ( ~class_Lattices_Osemilattice__inf(_u1474) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1474), _u1475), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1474), _u1476), _u1477))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1474), _u1475), _u1477)) )).
% 19.51/19.75 cnf(matrix-1532, plain, ( ~class_Lattices_Osemilattice__inf(_u1474) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1474), _u1475), _u1476)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1474), _u1475), _u1477)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1474), _u1475), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1474), _u1476), _u1477))) )).
% 19.51/19.75 cnf(matrix-1533, plain, ( ~class_Lattices_Osemilattice__inf(_u1478) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1478), _u1479), _u1480)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1478), _u1479), _u1480) = _u1479) )).
% 19.51/19.75 cnf(matrix-1534, plain, ( ~class_Lattices_Osemilattice__inf(_u1478) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1478), _u1479), _u1480) != _u1479) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1478), _u1479), _u1480)) )).
% 19.51/19.75 cnf(matrix-1535, plain, ( ~class_Lattices_Osemilattice__inf(_u1481) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1481), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1481), _u1482), _u1483)), _u1483)) )).
% 19.51/19.75 cnf(matrix-1536, plain, ( ~class_Lattices_Olattice(_u1484) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1484), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1484), _u1485), _u1486)), _u1486)) )).
% 19.51/19.75 cnf(matrix-1537, plain, ( ~class_Lattices_Osemilattice__inf(_u1487) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1487), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1487), _u1488), _u1489)), _u1488)) )).
% 19.51/19.75 cnf(matrix-1538, plain, ( ~class_Lattices_Olattice(_u1490) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1490), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1490), _u1491), _u1492)), _u1491)) )).
% 19.51/19.75 cnf(matrix-1539, plain, ( ~class_Lattices_Osemilattice__inf(_u1493) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1493), _u1494), _u1495)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1493), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1493), _u1494), _u1496)), _u1495)) )).
% 19.51/19.75 cnf(matrix-1540, plain, ( ~class_Lattices_Osemilattice__inf(_u1497) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1497), _u1498), _u1499)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1497), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1497), _u1500), _u1498)), _u1499)) )).
% 19.51/19.75 cnf(matrix-1541, plain, ( ~class_Lattices_Obounded__lattice__bot(_u1501) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1501), c_Orderings_Obot__class_Obot(_u1501)), _u1502) = c_Orderings_Obot__class_Obot(_u1501)) )).
% 19.51/19.75 cnf(matrix-1542, plain, ( ~class_Lattices_Obounded__lattice__bot(_u1503) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1503), _u1504), c_Orderings_Obot__class_Obot(_u1503)) = c_Orderings_Obot__class_Obot(_u1503)) )).
% 19.51/19.75 cnf(matrix-1543, plain, ( ~class_Lattices_Odistrib__lattice(_u1505) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1505), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1505), _u1506), _u1507)), _u1508) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1505), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1505), _u1506), _u1508)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1505), _u1507), _u1508))) )).
% 19.51/19.75 cnf(matrix-1544, plain, ( ~class_Lattices_Odistrib__lattice(_u1509) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1509), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1509), _u1510), _u1511)), _u1512) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1509), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1509), _u1510), _u1512)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1509), _u1511), _u1512))) )).
% 19.51/19.75 cnf(matrix-1545, plain, ( ~class_Lattices_Odistrib__lattice(_u1513) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1513), _u1514), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1513), _u1515), _u1516)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1513), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1513), _u1514), _u1515)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1513), _u1514), _u1516))) )).
% 19.51/19.75 cnf(matrix-1546, plain, ( ~class_Lattices_Odistrib__lattice(_u1517) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1517), _u1518), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1517), _u1519), _u1520)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1517), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1517), _u1518), _u1519)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1517), _u1518), _u1520))) )).
% 19.51/19.75 cnf(matrix-1547, plain, ( ~class_Lattices_Olattice(_u1521) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1521), _u1522), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1521), _u1522), _u1523)) = _u1522) )).
% 19.51/19.75 cnf(matrix-1548, plain, ( ~class_Lattices_Olattice(_u1524) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1524), _u1525), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1524), _u1525), _u1526)) = _u1525) )).
% 19.51/19.75 cnf(matrix-1549, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1531), _u1533), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1531, tc_HOL_Obool)), _u1535), _u1537))) | hBOOL(hAPP(hAPP(c_member(_u1531), _u1533), _u1535)) )).
% 19.51/19.75 cnf(matrix-1550, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1531), _u1533), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1531, tc_HOL_Obool)), _u1535), _u1537))) | hBOOL(hAPP(hAPP(c_member(_u1531), _u1533), _u1537)) )).
% 19.51/19.75 cnf(matrix-1551, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1532), _u1534), _u1536)) | ~hBOOL(hAPP(hAPP(c_member(_u1532), _u1534), _u1538)) | hBOOL(hAPP(hAPP(c_member(_u1532), _u1534), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1532, tc_HOL_Obool)), _u1536), _u1538))) )).
% 19.51/19.75 cnf(matrix-1552, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1539), _u1540), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1539, tc_HOL_Obool)), _u1541), _u1542))) | hBOOL(hAPP(hAPP(c_member(_u1539), _u1540), _u1541)) )).
% 19.51/19.75 cnf(matrix-1553, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1543), _u1544), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1543, tc_HOL_Obool)), _u1545), _u1546))) | hBOOL(hAPP(hAPP(c_member(_u1543), _u1544), _u1546)) )).
% 19.51/19.75 cnf(matrix-1554, plain, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u1547, _u1548, _u1549), _u1550), c_Orderings_Obot__class_Obot(tc_fun(_u1547, tc_HOL_Obool))) = _u1550) )).
% 19.51/19.75 cnf(matrix-1555, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1551, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u1551, tc_HOL_Obool))), _u1552) = c_Orderings_Obot__class_Obot(tc_fun(_u1551, tc_HOL_Obool))) )).
% 19.51/19.75 cnf(matrix-1556, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1553, tc_HOL_Obool)), _u1554), c_Orderings_Obot__class_Obot(tc_fun(_u1553, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u1553, tc_HOL_Obool))) )).
% 19.51/19.75 cnf(matrix-1557, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1562, tc_HOL_Obool)), _u1564), _u1566) != c_Orderings_Obot__class_Obot(tc_fun(_u1562, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u1562), _u1556), _u1564)) | ~hBOOL(hAPP(hAPP(c_member(_u1562), _u1555), _u1566)) | ( _u1556 != _u1555) )).
% 19.51/19.75 cnf(matrix-1558, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1563, tc_HOL_Obool)), _u1565), _u1567) = c_Orderings_Obot__class_Obot(tc_fun(_u1563, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1563), skolem29(_u1567, _u1565, _u1563)), _u1565)) )).
% 19.51/19.75 cnf(matrix-1559, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1563, tc_HOL_Obool)), _u1565), _u1567) = c_Orderings_Obot__class_Obot(tc_fun(_u1563, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1563), skolem30(_u1567, _u1565, _u1563)), _u1567)) )).
% 19.51/19.75 cnf(matrix-1560, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1563, tc_HOL_Obool)), _u1565), _u1567) = c_Orderings_Obot__class_Obot(tc_fun(_u1563, tc_HOL_Obool))) | ( skolem29(_u1567, _u1565, _u1563) = skolem30(_u1567, _u1565, _u1563)) )).
% 19.51/19.75 cnf(matrix-1561, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1568, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1568), _u1569), _u1570)), hAPP(hAPP(c_Set_Oinsert(_u1568), _u1569), _u1571)) = hAPP(hAPP(c_Set_Oinsert(_u1568), _u1569), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1568, tc_HOL_Obool)), _u1570), _u1571))) )).
% 19.51/19.75 cnf(matrix-1562, plain, ( ~class_Lattices_Olattice(_u1572) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1572), _u1573)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1572, hAPP(hAPP(c_Set_Oinsert(_u1572), _u1574), _u1573)) = hAPP(hAPP(c_Finite__Set_Ofold(_u1572, _u1572, c_Lattices_Osemilattice__sup__class_Osup(_u1572)), _u1574), _u1573)) )).
% 19.51/19.75 cnf(matrix-1563, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1575, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1575, tc_HOL_Obool)), _u1576), _u1577)), _u1576)) )).
% 19.51/19.75 cnf(matrix-1564, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1578, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1578, tc_HOL_Obool)), _u1579), _u1580)), _u1580)) )).
% 19.51/19.75 cnf(matrix-1565, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1581, tc_HOL_Obool)), _u1582), _u1583)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1581, tc_HOL_Obool)), _u1582), _u1583) = _u1582) )).
% 19.51/19.75 cnf(matrix-1566, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1584, tc_HOL_Obool)), _u1585), _u1586)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1584, tc_HOL_Obool)), _u1586), _u1585) = _u1585) )).
% 19.51/19.75 cnf(matrix-1567, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1587, tc_HOL_Obool)), _u1588), _u1589)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1587, tc_HOL_Obool)), _u1588), _u1590)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1587, tc_HOL_Obool)), _u1588), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1587, tc_HOL_Obool)), _u1589), _u1590))) )).
% 19.51/19.75 cnf(matrix-1568, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1591, tc_HOL_Obool)), _u1592), _u1593)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1591, tc_HOL_Obool)), _u1594), _u1595)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1591, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1591, tc_HOL_Obool)), _u1592), _u1594)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1591, tc_HOL_Obool)), _u1593), _u1595))) )).
% 19.51/19.75 cnf(matrix-1569, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1596, tc_HOL_Obool)), _u1597), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1596, tc_HOL_Obool)), _u1598), _u1599)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1596, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1596, tc_HOL_Obool)), _u1597), _u1598)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1596, tc_HOL_Obool)), _u1597), _u1599))) )).
% 19.51/19.75 cnf(matrix-1570, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1600, tc_HOL_Obool)), _u1601), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1600, tc_HOL_Obool)), _u1602), _u1603)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1600, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1600, tc_HOL_Obool)), _u1601), _u1602)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1600, tc_HOL_Obool)), _u1601), _u1603))) )).
% 19.51/19.75 cnf(matrix-1571, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1604, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1604, tc_HOL_Obool)), _u1605), _u1606)), _u1607) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1604, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1604, tc_HOL_Obool)), _u1605), _u1607)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1604, tc_HOL_Obool)), _u1606), _u1607))) )).
% 19.51/19.75 cnf(matrix-1572, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1608, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1608, tc_HOL_Obool)), _u1609), _u1610)), _u1611) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1608, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1608, tc_HOL_Obool)), _u1609), _u1611)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1608, tc_HOL_Obool)), _u1610), _u1611))) )).
% 19.51/19.75 cnf(matrix-1573, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1612, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1612, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1612, tc_HOL_Obool)), _u1613), _u1614)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1612, tc_HOL_Obool)), _u1614), _u1615))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1612, tc_HOL_Obool)), _u1615), _u1613)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1612, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1612, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1612, tc_HOL_Obool)), _u1613), _u1614)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1612, tc_HOL_Obool)), _u1614), _u1615))), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1612, tc_HOL_Obool)), _u1615), _u1613))) )).
% 19.51/19.75 cnf(matrix-1574, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1616, tc_HOL_Obool)), _u1617), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1616, tc_HOL_Obool)), _u1618), _u1619)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1616, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1616, tc_HOL_Obool)), _u1617), _u1618)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1616, tc_HOL_Obool)), _u1617), _u1619))) )).
% 19.51/19.75 cnf(matrix-1575, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1620, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1620, tc_HOL_Obool)), _u1621), _u1622)), _u1623) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1620, tc_HOL_Obool)), _u1621), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1620, tc_HOL_Obool)), _u1622), _u1623))) )).
% 19.51/19.75 cnf(matrix-1576, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1624, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1624, tc_HOL_Obool)), _u1625), _u1626)), _u1627) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1624, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1624, tc_HOL_Obool)), _u1625), _u1627)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1624, tc_HOL_Obool)), _u1626), _u1627))) )).
% 19.51/19.75 cnf(matrix-1577, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1628, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1628, tc_HOL_Obool)), _u1629), _u1630)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1628, tc_HOL_Obool)), _u1631), _u1630)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1628, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1628, tc_HOL_Obool)), _u1629), _u1630)), _u1631)) )).
% 19.51/19.75 cnf(matrix-1578, plain, ( ~class_Lattices_Osemilattice__inf(_u1632) | c_Finite__Set_Ofun__left__comm__idem(_u1632, _u1632, c_Lattices_Osemilattice__inf__class_Oinf(_u1632)) )).
% 19.51/19.75 cnf(matrix-1579, plain, ( ~class_Lattices_Olattice(_u1633) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1633, hAPP(hAPP(c_Set_Oinsert(_u1633), _u1634), c_Orderings_Obot__class_Obot(tc_fun(_u1633, tc_HOL_Obool)))) = _u1634) )).
% 19.51/19.75 cnf(matrix-1580, plain, ( ~class_Lattices_Olattice(_u1635) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1635), _u1636)) | hBOOL(hAPP(hAPP(c_member(_u1635), _u1637), _u1636)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1635, hAPP(hAPP(c_Set_Oinsert(_u1635), _u1637), _u1636)) = hAPP(hAPP(c_Finite__Set_Ofold(_u1635, _u1635, c_Lattices_Osemilattice__sup__class_Osup(_u1635)), _u1637), _u1636)) )).
% 19.51/19.75 cnf(matrix-1581, plain, ( ~class_Lattices_Olattice(_u1638) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1638), _u1639)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1638), _u1640)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1638, tc_HOL_Obool)), _u1639), _u1640) = c_Orderings_Obot__class_Obot(tc_fun(_u1638, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1638), c_Big__Operators_Olattice__class_OSup__fin(_u1638, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1638, tc_HOL_Obool)), _u1639), _u1640))), c_Big__Operators_Olattice__class_OSup__fin(_u1638, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1638, tc_HOL_Obool)), _u1639), _u1640))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1638), c_Big__Operators_Olattice__class_OSup__fin(_u1638, _u1639)), c_Big__Operators_Olattice__class_OSup__fin(_u1638, _u1640))) )).
% 19.51/19.75 cnf(matrix-1582, plain, ( ~class_Lattices_Olattice(_u1641) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1641), _u1642)) | ( _u1642 = c_Orderings_Obot__class_Obot(tc_fun(_u1641, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1641), _u1643)) | ( _u1643 = c_Orderings_Obot__class_Obot(tc_fun(_u1641, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1641, tc_HOL_Obool)), _u1642), _u1643) != c_Orderings_Obot__class_Obot(tc_fun(_u1641, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1641, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1641, tc_HOL_Obool)), _u1642), _u1643)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1641), c_Big__Operators_Olattice__class_OSup__fin(_u1641, _u1642)), c_Big__Operators_Olattice__class_OSup__fin(_u1641, _u1643))) )).
% 19.51/19.75 cnf(matrix-1583, plain, ( ~class_Lattices_Olattice(_u1644) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1644), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1644), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1644), _u1645), _u1646)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1644), _u1645), _u1647))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1644), _u1645), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1644), _u1646), _u1647)))) )).
% 19.51/19.75 cnf(matrix-1584, plain, ( ~class_Lattices_Olattice(_u1648) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1648), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1648), _u1649), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1648), _u1650), _u1651))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1648), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1648), _u1649), _u1650)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1648), _u1649), _u1651)))) )).
% 19.51/19.75 cnf(matrix-1585, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1652), _u1653)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u1652), _u1653)), hAPP(c_Finite__Set_Ocard(_u1652), hAPP(hAPP(c_Set_Oinsert(_u1652), _u1654), _u1653)))) )).
% 19.51/19.75 cnf(matrix-1586, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1655), _u1656)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1655, tc_HOL_Obool)), _u1657), _u1656)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u1655), _u1656)), hAPP(c_Finite__Set_Ocard(_u1655), _u1657))) | ( _u1657 = _u1656) )).
% 19.51/19.75 cnf(matrix-1587, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1658), _u1659)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1658, tc_HOL_Obool)), _u1660), _u1659)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u1658), _u1660)), hAPP(c_Finite__Set_Ocard(_u1658), _u1659))) )).
% 19.51/19.75 cnf(matrix-1588, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1661), _u1662)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u1661), _u1663)), hAPP(c_Finite__Set_Ocard(_u1661), _u1662))), hAPP(c_Finite__Set_Ocard(_u1661), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1661, tc_HOL_Obool)), _u1663), _u1662)))) )).
% 19.51/19.75 cnf(matrix-1589, plain, ( ~class_Lattices_Osemilattice__sup(_u1664) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1664), _u1665)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u1664, _u1664, c_Lattices_Osemilattice__sup__class_Osup(_u1664)), _u1666), hAPP(hAPP(c_Set_Oinsert(_u1664), _u1667), _u1665)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1664), _u1667), hAPP(hAPP(c_Finite__Set_Ofold(_u1664, _u1664, c_Lattices_Osemilattice__sup__class_Osup(_u1664)), _u1666), _u1665))) )).
% 19.51/19.75 cnf(matrix-1590, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1668), _u1669), _u1670)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1668, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1668), _u1669), _u1671)), _u1670) = hAPP(hAPP(c_Set_Oinsert(_u1668), _u1669), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1668, tc_HOL_Obool)), _u1671), _u1670))) )).
% 19.51/19.75 cnf(matrix-1591, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1672), _u1673), _u1674)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1672, tc_HOL_Obool)), _u1674), hAPP(hAPP(c_Set_Oinsert(_u1672), _u1673), _u1675)) = hAPP(hAPP(c_Set_Oinsert(_u1672), _u1673), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1672, tc_HOL_Obool)), _u1674), _u1675))) )).
% 19.51/19.75 cnf(matrix-1592, plain, ( hBOOL(hAPP(hAPP(c_member(_u1676), _u1677), _u1678)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1676, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1676), _u1677), _u1679)), _u1678) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1676, tc_HOL_Obool)), _u1679), _u1678)) )).
% 19.51/19.75 cnf(matrix-1593, plain, ( hBOOL(hAPP(hAPP(c_member(_u1680), _u1681), _u1682)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1680, tc_HOL_Obool)), _u1682), hAPP(hAPP(c_Set_Oinsert(_u1680), _u1681), _u1683)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1680, tc_HOL_Obool)), _u1682), _u1683)) )).
% 19.51/19.75 cnf(matrix-1594, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1688), _u1690), _u1692)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1688, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1688), _u1690), _u1694)), _u1692) = hAPP(hAPP(c_Set_Oinsert(_u1688), _u1690), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1688, tc_HOL_Obool)), _u1694), _u1692))) )).
% 19.51/19.75 cnf(matrix-1595, plain, ( hBOOL(hAPP(hAPP(c_member(_u1689), _u1691), _u1693)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1689, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1689), _u1691), _u1695)), _u1693) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1689, tc_HOL_Obool)), _u1695), _u1693)) )).
% 19.51/19.75 cnf(matrix-1596, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1700), _u1702), _u1704)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1700, tc_HOL_Obool)), _u1704), hAPP(hAPP(c_Set_Oinsert(_u1700), _u1702), _u1706)) = hAPP(hAPP(c_Set_Oinsert(_u1700), _u1702), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1700, tc_HOL_Obool)), _u1704), _u1706))) )).
% 19.51/19.75 cnf(matrix-1597, plain, ( hBOOL(hAPP(hAPP(c_member(_u1701), _u1703), _u1705)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1701, tc_HOL_Obool)), _u1705), hAPP(hAPP(c_Set_Oinsert(_u1701), _u1703), _u1707)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1701, tc_HOL_Obool)), _u1705), _u1707)) )).
% 19.51/19.75 cnf(matrix-1598, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1708, tc_HOL_Obool)), _u1709), _u1710) != c_Orderings_Obot__class_Obot(tc_fun(_u1708, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1708, tc_HOL_Obool)), _u1709), _u1710) = _u1709) )).
% 19.51/19.75 cnf(matrix-1599, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1711, tc_HOL_Obool)), _u1712), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1711, tc_HOL_Obool)), _u1713), _u1712)) = c_Orderings_Obot__class_Obot(tc_fun(_u1711, tc_HOL_Obool))) )).
% 19.51/19.75 cnf(matrix-1600, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1718, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1718, tc_HOL_Obool)), _u1720), _u1722)), _u1724) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1718, tc_HOL_Obool)), _u1720), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1718, tc_HOL_Obool)), _u1722), _u1724))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1718, tc_HOL_Obool)), _u1724), _u1720)) )).
% 19.51/19.75 cnf(matrix-1601, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1719, tc_HOL_Obool)), _u1725), _u1721)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1719, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1719, tc_HOL_Obool)), _u1721), _u1723)), _u1725) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1719, tc_HOL_Obool)), _u1721), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1719, tc_HOL_Obool)), _u1723), _u1725))) )).
% 19.51/19.75 cnf(matrix-1602, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1726), _u1727)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1726, tc_HOL_Obool)), _u1728), _u1727)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u1726), _u1728)), hAPP(c_Finite__Set_Ocard(_u1726), _u1727))) )).
% 19.51/19.75 cnf(matrix-1603, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1729, tc_HOL_Obool)), _u1730), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1729, tc_HOL_Obool)), _u1731), _u1732)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1729, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1729, tc_HOL_Obool)), _u1730), _u1731)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1729, tc_HOL_Obool)), _u1730), _u1732))) )).
% 19.51/19.75 cnf(matrix-1604, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1733, tc_HOL_Obool)), _u1734), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1733, tc_HOL_Obool)), _u1735), _u1736)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1733, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1733, tc_HOL_Obool)), _u1734), _u1735)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1733, tc_HOL_Obool)), _u1734), _u1736))) )).
% 19.51/19.75 cnf(matrix-1605, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1737, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1737, tc_HOL_Obool)), _u1738), _u1739)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1737, tc_HOL_Obool)), _u1738), _u1739)) = _u1738) )).
% 19.51/19.75 cnf(matrix-1606, plain, ( ~class_Lattices_Olattice(_u1740) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1740), _u1741)) | ~hBOOL(hAPP(hAPP(c_member(_u1740), _u1742), _u1741)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1740), _u1742), c_Big__Operators_Olattice__class_OSup__fin(_u1740, _u1741)) = c_Big__Operators_Olattice__class_OSup__fin(_u1740, _u1741)) )).
% 19.51/19.75 cnf(matrix-1607, plain, ( ~class_Lattices_Olattice(_u1743) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1743), _u1744)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1743, _u1744) = hAPP(c_Finite__Set_Ofold1(_u1743, c_Lattices_Osemilattice__sup__class_Osup(_u1743)), _u1744)) )).
% 19.51/19.75 cnf(matrix-1608, plain, ( ~class_Lattices_Osemilattice__sup(_u1745) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1745), _u1746)) | ~hBOOL(hAPP(hAPP(c_member(_u1745), _u1747), _u1746)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1745), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1745), _u1747), _u1748)), hAPP(hAPP(c_Finite__Set_Ofold(_u1745, _u1745, c_Lattices_Osemilattice__sup__class_Osup(_u1745)), _u1748), _u1746))) )).
% 19.51/19.75 cnf(matrix-1609, plain, ( ~class_Lattices_Osemilattice__inf(_u1749) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1749), _u1750)) | ~hBOOL(hAPP(hAPP(c_member(_u1749), _u1751), _u1750)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1749), hAPP(c_Finite__Set_Ofold1(_u1749, c_Lattices_Osemilattice__inf__class_Oinf(_u1749)), _u1750)), _u1751)) )).
% 19.51/19.75 cnf(matrix-1610, plain, ( ~class_Lattices_Osemilattice__inf(_u1754) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1754), _u1755)) | ( _u1755 = c_Orderings_Obot__class_Obot(tc_fun(_u1754, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1754), _u1756), hAPP(c_Finite__Set_Ofold1(_u1754, c_Lattices_Osemilattice__inf__class_Oinf(_u1754)), _u1755))) | ~hBOOL(hAPP(hAPP(c_member(_u1754), _u1752), _u1755)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1754), _u1756), _u1752)) )).
% 19.51/19.75 cnf(matrix-1611, plain, ( ~class_Lattices_Osemilattice__inf(_u1754) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1754), _u1755)) | ( _u1755 = c_Orderings_Obot__class_Obot(tc_fun(_u1754, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1754), _u1756), hAPP(c_Finite__Set_Ofold1(_u1754, c_Lattices_Osemilattice__inf__class_Oinf(_u1754)), _u1755))) | hBOOL(hAPP(hAPP(c_member(_u1754), skolem31(_u1756, _u1755, _u1754)), _u1755)) )).
% 19.51/19.75 cnf(matrix-1612, plain, ( ~class_Lattices_Osemilattice__inf(_u1754) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1754), _u1755)) | ( _u1755 = c_Orderings_Obot__class_Obot(tc_fun(_u1754, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1754), _u1756), hAPP(c_Finite__Set_Ofold1(_u1754, c_Lattices_Osemilattice__inf__class_Oinf(_u1754)), _u1755))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1754), _u1756), skolem31(_u1756, _u1755, _u1754))) )).
% 19.51/19.75 cnf(matrix-1613, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1757), _u1758)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1757, tc_HOL_Obool)), _u1758), _u1759)) | ( hAPP(c_Finite__Set_Ocard(_u1757), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1757, tc_HOL_Obool)), _u1759), _u1758)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u1757), _u1759)), hAPP(c_Finite__Set_Ocard(_u1757), _u1758))) )).
% 19.51/19.75 cnf(matrix-1614, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1760), _u1761)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1760, tc_HOL_Obool)), _u1761), _u1762) = hAPP(hAPP(c_Finite__Set_Ofold(_u1760, tc_fun(_u1760, tc_HOL_Obool), c_Set_Oinsert(_u1760)), _u1762), _u1761)) )).
% 19.51/19.75 cnf(matrix-1615, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1763), _u1764)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1763, tc_HOL_Obool)), _u1765), _u1764)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u1763), _u1765)), hAPP(c_Finite__Set_Ocard(_u1763), _u1764))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1763, tc_HOL_Obool)), _u1765), _u1764)) )).
% 19.51/19.75 cnf(matrix-1616, plain, ( ~class_Lattices_Olattice(_u1766) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1766), _u1767)) | ( _u1767 = c_Orderings_Obot__class_Obot(tc_fun(_u1766, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1766, hAPP(hAPP(c_Set_Oinsert(_u1766), _u1768), _u1767)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1766), _u1768), c_Big__Operators_Olattice__class_OSup__fin(_u1766, _u1767))) )).
% 19.51/19.75 cnf(matrix-1617, plain, ( ~class_Lattices_Olattice(_u1769) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1769), _u1770)) | ( _u1771 = c_Orderings_Obot__class_Obot(tc_fun(_u1769, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1769, tc_HOL_Obool)), _u1771), _u1770)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1769), c_Big__Operators_Olattice__class_OSup__fin(_u1769, _u1771)), c_Big__Operators_Olattice__class_OSup__fin(_u1769, _u1770)) = c_Big__Operators_Olattice__class_OSup__fin(_u1769, _u1770)) )).
% 19.51/19.75 cnf(matrix-1618, plain, ( ~class_Lattices_Olattice(_u1772) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1772), _u1773)) | ( _u1773 = c_Orderings_Obot__class_Obot(tc_fun(_u1772, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1772), _u1774)) | ( _u1774 = c_Orderings_Obot__class_Obot(tc_fun(_u1772, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1772, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1772, tc_HOL_Obool)), _u1773), _u1774)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1772), c_Big__Operators_Olattice__class_OSup__fin(_u1772, _u1773)), c_Big__Operators_Olattice__class_OSup__fin(_u1772, _u1774))) )).
% 19.51/19.75 cnf(matrix-1619, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u1775, _u1776, _u1777) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1775), _u1778)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u1775, _u1776, _u1777), _u1779), hAPP(hAPP(c_Set_Oinsert(_u1775), _u1780), _u1778)) = hAPP(hAPP(_u1777, _u1780), hAPP(hAPP(c_Finite__Set_Ofold(_u1775, _u1776, _u1777), _u1779), _u1778))) )).
% 19.51/19.75 cnf(matrix-1620, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u1781, _u1782, _u1783) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1781), _u1784)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u1781, _u1782, _u1783), _u1785), hAPP(hAPP(c_Set_Oinsert(_u1781), _u1786), _u1784)) = hAPP(hAPP(c_Finite__Set_Ofold(_u1781, _u1782, _u1783), hAPP(hAPP(_u1783, _u1786), _u1785)), _u1784)) )).
% 19.51/19.75 cnf(matrix-1621, plain, ( ~class_Lattices_Olattice(_u1787) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1787), _u1788), _u1788) = _u1788) )).
% 19.51/19.75 cnf(matrix-1622, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u1789, _u1790, _u1791) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1789), _u1792)) | ( hAPP(_u1791, hAPP(hAPP(c_Set_Oinsert(_u1789), _u1793), _u1792)) = hAPP(hAPP(c_Finite__Set_Ofold(_u1789, _u1789, _u1790), _u1793), _u1792)) )).
% 19.51/19.75 cnf(matrix-1623, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1795), _u1800)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1795), _u1801)) | ( hAPP(hAPP(_u1796, hAPP(_u1799, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1795, tc_HOL_Obool)), _u1800), _u1801))), hAPP(_u1799, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1795, tc_HOL_Obool)), _u1800), _u1801))) = hAPP(hAPP(_u1796, hAPP(_u1799, _u1800)), hAPP(_u1799, _u1801))) | ~c_Finite__Set_Ofolding__image__simple(_u1794, _u1795, _u1796, _u1797, _u1798, _u1799) )).
% 19.51/19.75 cnf(matrix-1624, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1802), _u1803)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u1802), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1802, tc_HOL_Obool)), _u1803), hAPP(hAPP(c_Set_Oinsert(_u1802), _u1804), c_Orderings_Obot__class_Obot(tc_fun(_u1802, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u1802), _u1803))) )).
% 19.51/19.75 cnf(matrix-1625, plain, ( ~class_Lattices_Olattice(_u1805) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1805), _u1806)) | hBOOL(hAPP(hAPP(c_member(_u1805), _u1807), _u1806)) | ( _u1806 = c_Orderings_Obot__class_Obot(tc_fun(_u1805, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1805, hAPP(hAPP(c_Set_Oinsert(_u1805), _u1807), _u1806)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1805), _u1807), c_Big__Operators_Olattice__class_OSup__fin(_u1805, _u1806))) )).
% 19.51/19.75 cnf(matrix-1626, plain, ( ~class_Lattices_Olattice(_u1808) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1808), _u1809)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1808, tc_HOL_Obool)), _u1809), hAPP(hAPP(c_Set_Oinsert(_u1808), _u1810), c_Orderings_Obot__class_Obot(tc_fun(_u1808, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u1808, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1808, hAPP(hAPP(c_Set_Oinsert(_u1808), _u1810), _u1809)) = _u1810) )).
% 19.51/19.75 cnf(matrix-1627, plain, ( ~class_Lattices_Olattice(_u1808) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1808), _u1809)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1808, tc_HOL_Obool)), _u1809), hAPP(hAPP(c_Set_Oinsert(_u1808), _u1810), c_Orderings_Obot__class_Obot(tc_fun(_u1808, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u1808, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u1808, hAPP(hAPP(c_Set_Oinsert(_u1808), _u1810), _u1809)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1808), _u1810), c_Big__Operators_Olattice__class_OSup__fin(_u1808, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1808, tc_HOL_Obool)), _u1809), hAPP(hAPP(c_Set_Oinsert(_u1808), _u1810), c_Orderings_Obot__class_Obot(tc_fun(_u1808, tc_HOL_Obool))))))) )).
% 19.51/19.75 cnf(matrix-1628, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u1811) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1811), _u1812)) | ( hAPP(c_Finite__Set_Ofold1(_u1811, c_Groups_Otimes__class_Otimes(_u1811)), hAPP(hAPP(c_Set_Oinsert(_u1811), _u1813), _u1812)) = hAPP(hAPP(c_Finite__Set_Ofold(_u1811, _u1811, c_Groups_Otimes__class_Otimes(_u1811)), _u1813), _u1812)) )).
% 19.51/19.75 cnf(matrix-1629, plain, ( ~c_Finite__Set_Ofolding__one(_u1814, _u1815, _u1816) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1814), _u1817)) | hBOOL(hAPP(hAPP(c_member(_u1814), _u1818), _u1817)) | ( hAPP(_u1816, hAPP(hAPP(c_Set_Oinsert(_u1814), _u1818), _u1817)) = hAPP(hAPP(c_Finite__Set_Ofold(_u1814, _u1814, _u1815), _u1818), _u1817)) )).
% 19.51/19.75 cnf(matrix-1630, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1820), _u1825)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1820), _u1826)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1820, tc_HOL_Obool)), _u1825), _u1826) != c_Orderings_Obot__class_Obot(tc_fun(_u1820, tc_HOL_Obool))) | ( hAPP(_u1824, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1820, tc_HOL_Obool)), _u1825), _u1826)) = hAPP(hAPP(_u1821, hAPP(_u1824, _u1825)), hAPP(_u1824, _u1826))) | ~c_Finite__Set_Ofolding__image__simple(_u1819, _u1820, _u1821, _u1822, _u1823, _u1824) )).
% 19.51/19.75 cnf(matrix-1631, plain, ( ~c_Finite__Set_Ofolding__one(_u1827, _u1828, _u1829) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1827), _u1830)) | ( _u1830 = c_Orderings_Obot__class_Obot(tc_fun(_u1827, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1827), _u1831)) | ( _u1831 = c_Orderings_Obot__class_Obot(tc_fun(_u1827, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1827, tc_HOL_Obool)), _u1830), _u1831) != c_Orderings_Obot__class_Obot(tc_fun(_u1827, tc_HOL_Obool))) | ( hAPP(_u1829, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1827, tc_HOL_Obool)), _u1830), _u1831)) = hAPP(hAPP(_u1828, hAPP(_u1829, _u1830)), hAPP(_u1829, _u1831))) )).
% 19.51/19.75 cnf(matrix-1632, plain, ( ~c_Finite__Set_Ofolding__one(_u1832, _u1833, _u1834) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1832), _u1835)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1832), _u1836)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1832, tc_HOL_Obool)), _u1835), _u1836) = c_Orderings_Obot__class_Obot(tc_fun(_u1832, tc_HOL_Obool))) | ( hAPP(hAPP(_u1833, hAPP(_u1834, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1832, tc_HOL_Obool)), _u1835), _u1836))), hAPP(_u1834, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1832, tc_HOL_Obool)), _u1835), _u1836))) = hAPP(hAPP(_u1833, hAPP(_u1834, _u1835)), hAPP(_u1834, _u1836))) )).
% 19.51/19.75 cnf(matrix-1633, plain, ( ~c_Big__Operators_Osemilattice__big(_u1837, _u1838, _u1839) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1837), _u1840)) | ( hAPP(_u1839, _u1840) = hAPP(c_Finite__Set_Ofold1(_u1837, _u1838), _u1840)) )).
% 19.51/19.75 cnf(matrix-1634, plain, ( ~c_Finite__Set_Ofun__left__comm(_u1841, _u1842, _u1843) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1841), _u1844)) | ~hBOOL(hAPP(hAPP(c_member(_u1841), _u1845), _u1844)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u1841, _u1842, _u1843), _u1846), _u1844) = hAPP(hAPP(_u1843, _u1845), hAPP(hAPP(c_Finite__Set_Ofold(_u1841, _u1842, _u1843), _u1846), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1841, tc_HOL_Obool)), _u1844), hAPP(hAPP(c_Set_Oinsert(_u1841), _u1845), c_Orderings_Obot__class_Obot(tc_fun(_u1841, tc_HOL_Obool))))))) )).
% 19.51/19.75 cnf(matrix-1635, plain, ( ~c_Finite__Set_Ofun__left__comm(_u1847, _u1848, _u1849) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1847), _u1850)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u1847, _u1848, _u1849), _u1851), hAPP(hAPP(c_Set_Oinsert(_u1847), _u1852), _u1850)) = hAPP(hAPP(_u1849, _u1852), hAPP(hAPP(c_Finite__Set_Ofold(_u1847, _u1848, _u1849), _u1851), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1847, tc_HOL_Obool)), _u1850), hAPP(hAPP(c_Set_Oinsert(_u1847), _u1852), c_Orderings_Obot__class_Obot(tc_fun(_u1847, tc_HOL_Obool))))))) )).
% 19.51/19.75 cnf(matrix-1636, plain, ( ~class_Lattices_Olattice(_u1855) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1855), _u1856)) | ( _u1856 = c_Orderings_Obot__class_Obot(tc_fun(_u1855, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u1855), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1855), skolem32(_u1856, _u1855)), skolem33(_u1856, _u1855))), hAPP(hAPP(c_Set_Oinsert(_u1855), skolem32(_u1856, _u1855)), hAPP(hAPP(c_Set_Oinsert(_u1855), skolem33(_u1856, _u1855)), c_Orderings_Obot__class_Obot(tc_fun(_u1855, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u1855), c_Big__Operators_Olattice__class_OSup__fin(_u1855, _u1856)), _u1856)) )).
% 19.51/19.75 cnf(matrix-1637, plain, ( ~class_Lattices_Olattice(_u1857) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1857), _u1858)) | ~hBOOL(hAPP(hAPP(c_member(_u1857), _u1859), _u1858)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1857, tc_HOL_Obool)), _u1858), hAPP(hAPP(c_Set_Oinsert(_u1857), _u1859), c_Orderings_Obot__class_Obot(tc_fun(_u1857, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u1857, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1857, _u1858) = _u1859) )).
% 19.51/19.75 cnf(matrix-1638, plain, ( ~class_Lattices_Olattice(_u1857) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1857), _u1858)) | ~hBOOL(hAPP(hAPP(c_member(_u1857), _u1859), _u1858)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1857, tc_HOL_Obool)), _u1858), hAPP(hAPP(c_Set_Oinsert(_u1857), _u1859), c_Orderings_Obot__class_Obot(tc_fun(_u1857, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u1857, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1857, _u1858) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1857), _u1859), c_Big__Operators_Olattice__class_OInf__fin(_u1857, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1857, tc_HOL_Obool)), _u1858), hAPP(hAPP(c_Set_Oinsert(_u1857), _u1859), c_Orderings_Obot__class_Obot(tc_fun(_u1857, tc_HOL_Obool))))))) )).
% 19.51/19.75 cnf(matrix-1639, plain, ( ~c_Finite__Set_Ofun__left__comm(_u1860, _u1861, _u1862) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1860), _u1863)) | hBOOL(hAPP(hAPP(c_member(_u1860), _u1864), _u1863)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u1860, _u1861, _u1862), _u1865), hAPP(hAPP(c_Set_Oinsert(_u1860), _u1864), _u1863)) = hAPP(hAPP(_u1862, _u1864), hAPP(hAPP(c_Finite__Set_Ofold(_u1860, _u1861, _u1862), _u1865), _u1863))) )).
% 19.51/19.75 cnf(matrix-1640, plain, ( ~c_Finite__Set_Ofun__left__comm(_u1866, _u1867, _u1868) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1866), _u1869)) | hBOOL(hAPP(hAPP(c_member(_u1866), _u1870), _u1869)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u1866, _u1867, _u1868), _u1871), hAPP(hAPP(c_Set_Oinsert(_u1866), _u1870), _u1869)) = hAPP(hAPP(c_Finite__Set_Ofold(_u1866, _u1867, _u1868), hAPP(hAPP(_u1868, _u1870), _u1871)), _u1869)) )).
% 19.51/19.75 cnf(matrix-1641, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1872), _u1873)) | ~hBOOL(hAPP(hAPP(c_member(_u1872), _u1874), _u1873)) | ( hAPP(c_Finite__Set_Ocard(_u1872), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1872, tc_HOL_Obool)), _u1873), hAPP(hAPP(c_Set_Oinsert(_u1872), _u1874), c_Orderings_Obot__class_Obot(tc_fun(_u1872, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u1872), _u1873)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 19.51/19.75 cnf(matrix-1642, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1872), _u1873)) | hBOOL(hAPP(hAPP(c_member(_u1872), _u1874), _u1873)) | ( hAPP(c_Finite__Set_Ocard(_u1872), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1872, tc_HOL_Obool)), _u1873), hAPP(hAPP(c_Set_Oinsert(_u1872), _u1874), c_Orderings_Obot__class_Obot(tc_fun(_u1872, tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(_u1872), _u1873)) )).
% 19.51/19.75 cnf(matrix-1643, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1875), _u1876)) | ~hBOOL(hAPP(hAPP(c_member(_u1875), _u1877), _u1876)) | ( hAPP(c_Finite__Set_Ocard(_u1875), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1875, tc_HOL_Obool)), _u1876), hAPP(hAPP(c_Set_Oinsert(_u1875), _u1877), c_Orderings_Obot__class_Obot(tc_fun(_u1875, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u1875), _u1876)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 19.51/19.75 cnf(matrix-1644, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1878), _u1879)) | ~hBOOL(hAPP(hAPP(c_member(_u1878), _u1880), _u1879)) | ( hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u1878), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1878, tc_HOL_Obool)), _u1879), hAPP(hAPP(c_Set_Oinsert(_u1878), _u1880), c_Orderings_Obot__class_Obot(tc_fun(_u1878, tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(_u1878), _u1879)) )).
% 19.51/19.75 cnf(matrix-1645, plain, ( ~class_Groups_Oone(_u1881) | ( c_Groups_Oone__class_Oone(_u1881) != _u1882) | ( _u1882 = c_Groups_Oone__class_Oone(_u1881)) )).
% 19.51/19.75 cnf(matrix-1646, plain, ( ~class_Groups_Oone(_u1881) | ( _u1882 != c_Groups_Oone__class_Oone(_u1881)) | ( c_Groups_Oone__class_Oone(_u1881) = _u1882) )).
% 19.51/19.75 cnf(matrix-1647, plain, ( ( hAPP(hAPP(_u1885, _u1886), hAPP(hAPP(_u1885, _u1887), _u1888)) = hAPP(hAPP(_u1885, _u1887), hAPP(hAPP(_u1885, _u1886), _u1888))) | ~c_Finite__Set_Ofun__left__comm(_u1883, _u1884, _u1885) )).
% 19.51/19.75 cnf(matrix-1648, plain, ( ~class_Groups_Ocomm__monoid__mult(_u1889) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1889), _u1890), c_Groups_Oone__class_Oone(_u1889)) = _u1890) )).
% 19.51/19.75 cnf(matrix-1649, plain, ( ~class_Groups_Omonoid__mult(_u1891) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1891), _u1892), c_Groups_Oone__class_Oone(_u1891)) = _u1892) )).
% 19.51/19.75 cnf(matrix-1650, plain, ( ~class_Groups_Ocomm__monoid__mult(_u1893) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1893), c_Groups_Oone__class_Oone(_u1893)), _u1894) = _u1894) )).
% 19.51/19.75 cnf(matrix-1651, plain, ( ~class_Groups_Omonoid__mult(_u1895) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1895), c_Groups_Oone__class_Oone(_u1895)), _u1896) = _u1896) )).
% 19.51/19.75 cnf(matrix-1652, plain, ( ~class_Groups_Oab__semigroup__mult(_u1897) | c_Finite__Set_Ofun__left__comm(_u1897, _u1897, c_Groups_Otimes__class_Otimes(_u1897)) )).
% 19.51/19.75 cnf(matrix-1653, plain, ( ~c_Finite__Set_Ofun__left__comm(_u1898, _u1899, _u1900) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1898, _u1899, _u1900, _u1901, _u1902), _u1903)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1898, _u1899, _u1900, _u1901, _u1902), _u1904)) | ( _u1904 = _u1903) )).
% 19.51/19.75 cnf(matrix-1654, plain, ( ~class_Lattices_Olattice(_u1905) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1905, hAPP(hAPP(c_Set_Oinsert(_u1905), _u1906), c_Orderings_Obot__class_Obot(tc_fun(_u1905, tc_HOL_Obool)))) = _u1906) )).
% 19.51/19.75 cnf(matrix-1655, plain, ( ~c_Finite__Set_Ofun__left__comm(_u1907, _u1908, _u1909) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1907), _u1910)) | ( hAPP(hAPP(_u1909, _u1911), hAPP(hAPP(c_Finite__Set_Ofold(_u1907, _u1908, _u1909), _u1912), _u1910)) = hAPP(hAPP(c_Finite__Set_Ofold(_u1907, _u1908, _u1909), hAPP(hAPP(_u1909, _u1911), _u1912)), _u1910)) )).
% 19.51/19.75 cnf(matrix-1656, plain, ( ~class_Lattices_Olattice(_u1913) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1913), _u1914)) | ~hBOOL(hAPP(hAPP(c_member(_u1913), _u1915), _u1914)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1913), _u1915), c_Big__Operators_Olattice__class_OInf__fin(_u1913, _u1914)) = _u1915) )).
% 19.51/19.75 cnf(matrix-1657, plain, ( ~class_Lattices_Olattice(_u1916) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1916), _u1917)) | ~hBOOL(hAPP(hAPP(c_member(_u1916), _u1918), _u1917)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1916), _u1918), c_Big__Operators_Olattice__class_OInf__fin(_u1916, _u1917)) = c_Big__Operators_Olattice__class_OInf__fin(_u1916, _u1917)) )).
% 19.51/19.75 cnf(matrix-1658, plain, ( ~c_Finite__Set_Ofun__left__comm(_u1919, _u1920, _u1921) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1919, _u1920, _u1921, _u1922, _u1923), _u1924)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u1919, _u1920, _u1921), _u1922), _u1923) = _u1924) )).
% 19.51/19.75 cnf(matrix-1659, plain, ( ~class_Lattices_Olattice(_u1925) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1925), _u1926)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1925, _u1926) = hAPP(c_Finite__Set_Ofold1(_u1925, c_Lattices_Osemilattice__inf__class_Oinf(_u1925)), _u1926)) )).
% 19.51/19.75 cnf(matrix-1660, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1927), _u1928)) | hBOOL(hAPP(hAPP(c_member(_u1927), _u1929), _u1928)) | ( hAPP(c_Finite__Set_Ocard(_u1927), hAPP(hAPP(c_Set_Oinsert(_u1927), _u1929), _u1928)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u1927), _u1928))) )).
% 19.51/19.75 cnf(matrix-1661, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1930), _u1931)) | ~hBOOL(hAPP(hAPP(c_member(_u1930), _u1932), _u1931)) | ( hAPP(c_Finite__Set_Ocard(_u1930), hAPP(hAPP(c_Set_Oinsert(_u1930), _u1932), _u1931)) = hAPP(c_Finite__Set_Ocard(_u1930), _u1931)) )).
% 19.51/19.75 cnf(matrix-1662, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1930), _u1931)) | hBOOL(hAPP(hAPP(c_member(_u1930), _u1932), _u1931)) | ( hAPP(c_Finite__Set_Ocard(_u1930), hAPP(hAPP(c_Set_Oinsert(_u1930), _u1932), _u1931)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u1930), _u1931))) )).
% 19.51/19.75 cnf(matrix-1663, plain, ( ~class_Lattices_Olattice(_u1933) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1933), _u1934)) | ( _u1934 = c_Orderings_Obot__class_Obot(tc_fun(_u1933, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1933, hAPP(hAPP(c_Set_Oinsert(_u1933), _u1935), _u1934)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1933), _u1935), c_Big__Operators_Olattice__class_OInf__fin(_u1933, _u1934))) )).
% 19.51/19.75 cnf(matrix-1664, plain, ( ~class_Lattices_Olattice(_u1936) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1936), _u1937)) | ( _u1938 = c_Orderings_Obot__class_Obot(tc_fun(_u1936, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1936, tc_HOL_Obool)), _u1938), _u1937)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1936), c_Big__Operators_Olattice__class_OInf__fin(_u1936, _u1938)), c_Big__Operators_Olattice__class_OInf__fin(_u1936, _u1937)) = c_Big__Operators_Olattice__class_OInf__fin(_u1936, _u1937)) )).
% 19.51/19.75 cnf(matrix-1665, plain, ( ~class_Lattices_Olattice(_u1939) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1939), _u1940)) | ( _u1940 = c_Orderings_Obot__class_Obot(tc_fun(_u1939, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1939), _u1941)) | ( _u1941 = c_Orderings_Obot__class_Obot(tc_fun(_u1939, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1939, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1939, tc_HOL_Obool)), _u1940), _u1941)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1939), c_Big__Operators_Olattice__class_OInf__fin(_u1939, _u1940)), c_Big__Operators_Olattice__class_OInf__fin(_u1939, _u1941))) )).
% 19.51/19.75 cnf(matrix-1666, plain, ( ~class_Lattices_Olattice(_u1942) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1942), _u1943)) | ( _u1943 = c_Orderings_Obot__class_Obot(tc_fun(_u1942, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1942), c_Big__Operators_Olattice__class_OInf__fin(_u1942, _u1943)), c_Big__Operators_Olattice__class_OSup__fin(_u1942, _u1943))) )).
% 19.51/19.75 cnf(matrix-1667, plain, ( ~class_Lattices_Olattice(_u1944) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1944), _u1945)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1944, hAPP(hAPP(c_Set_Oinsert(_u1944), _u1946), _u1945)) = hAPP(hAPP(c_Finite__Set_Ofold(_u1944, _u1944, c_Lattices_Osemilattice__inf__class_Oinf(_u1944)), _u1946), _u1945)) )).
% 19.51/19.75 cnf(matrix-1668, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1947), _u1948)) | ( hAPP(c_Finite__Set_Ocard(_u1947), hAPP(hAPP(c_Set_Oinsert(_u1947), _u1949), _u1948)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u1947), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1947, tc_HOL_Obool)), _u1948), hAPP(hAPP(c_Set_Oinsert(_u1947), _u1949), c_Orderings_Obot__class_Obot(tc_fun(_u1947, tc_HOL_Obool))))))) )).
% 19.51/19.75 cnf(matrix-1669, plain, ( ~c_Finite__Set_Ofun__left__comm(_u1950, _u1951, _u1952) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1950), _u1953)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u1950, _u1951, _u1952, _u1954, _u1953), hAPP(hAPP(c_Finite__Set_Ofold(_u1950, _u1951, _u1952), _u1954), _u1953))) )).
% 19.51/19.75 cnf(matrix-1670, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1955), _u1956)) | ~hBOOL(hAPP(hAPP(c_member(_u1955), _u1957), _u1956)) | hBOOL(hAPP(hAPP(c_member(_u1955), _u1957), _u1958)) | ( hAPP(c_Finite__Set_Ocard(_u1955), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1955, tc_HOL_Obool)), _u1956), hAPP(hAPP(c_Set_Oinsert(_u1955), _u1957), _u1958))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u1955), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1955, tc_HOL_Obool)), _u1956), _u1958))), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 19.51/19.75 cnf(matrix-1671, plain, ( ~class_Lattices_Olattice(_u1959) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1959), _u1960)) | hBOOL(hAPP(hAPP(c_member(_u1959), _u1961), _u1960)) | ( _u1960 = c_Orderings_Obot__class_Obot(tc_fun(_u1959, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1959, hAPP(hAPP(c_Set_Oinsert(_u1959), _u1961), _u1960)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1959), _u1961), c_Big__Operators_Olattice__class_OInf__fin(_u1959, _u1960))) )).
% 19.51/19.75 cnf(matrix-1672, plain, ( ~class_Lattices_Olattice(_u1962) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1962), _u1963)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1962, tc_HOL_Obool)), _u1963), hAPP(hAPP(c_Set_Oinsert(_u1962), _u1964), c_Orderings_Obot__class_Obot(tc_fun(_u1962, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u1962, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1962, hAPP(hAPP(c_Set_Oinsert(_u1962), _u1964), _u1963)) = _u1964) )).
% 19.51/19.75 cnf(matrix-1673, plain, ( ~class_Lattices_Olattice(_u1962) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1962), _u1963)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1962, tc_HOL_Obool)), _u1963), hAPP(hAPP(c_Set_Oinsert(_u1962), _u1964), c_Orderings_Obot__class_Obot(tc_fun(_u1962, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u1962, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1962, hAPP(hAPP(c_Set_Oinsert(_u1962), _u1964), _u1963)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1962), _u1964), c_Big__Operators_Olattice__class_OInf__fin(_u1962, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1962, tc_HOL_Obool)), _u1963), hAPP(hAPP(c_Set_Oinsert(_u1962), _u1964), c_Orderings_Obot__class_Obot(tc_fun(_u1962, tc_HOL_Obool))))))) )).
% 19.51/19.75 cnf(matrix-1674, plain, ( ~class_Lattices_Olattice(_u1965) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1965), _u1966)) | ( _u1966 = c_Orderings_Obot__class_Obot(tc_fun(_u1965, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1965), _u1967)) | ( _u1967 = c_Orderings_Obot__class_Obot(tc_fun(_u1965, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1965, tc_HOL_Obool)), _u1966), _u1967) != c_Orderings_Obot__class_Obot(tc_fun(_u1965, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1965, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1965, tc_HOL_Obool)), _u1966), _u1967)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1965), c_Big__Operators_Olattice__class_OInf__fin(_u1965, _u1966)), c_Big__Operators_Olattice__class_OInf__fin(_u1965, _u1967))) )).
% 19.51/19.75 cnf(matrix-1675, plain, ( ~class_Lattices_Olattice(_u1968) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1968), _u1969)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1968), _u1970)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1968, tc_HOL_Obool)), _u1969), _u1970) = c_Orderings_Obot__class_Obot(tc_fun(_u1968, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1968), c_Big__Operators_Olattice__class_OInf__fin(_u1968, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1968, tc_HOL_Obool)), _u1969), _u1970))), c_Big__Operators_Olattice__class_OInf__fin(_u1968, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u1968, tc_HOL_Obool)), _u1969), _u1970))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u1968), c_Big__Operators_Olattice__class_OInf__fin(_u1968, _u1969)), c_Big__Operators_Olattice__class_OInf__fin(_u1968, _u1970))) )).
% 19.51/19.75 cnf(matrix-1676, plain, ( ~class_Lattices_Olattice(_u1971) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u1971), _u1972)) | hBOOL(hAPP(hAPP(c_member(_u1971), _u1973), _u1972)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u1971, hAPP(hAPP(c_Set_Oinsert(_u1971), _u1973), _u1972)) = hAPP(hAPP(c_Finite__Set_Ofold(_u1971, _u1971, c_Lattices_Osemilattice__inf__class_Oinf(_u1971)), _u1973), _u1972)) )).
% 19.51/19.75 cnf(matrix-1677, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1974), hAPP(c_Nat_OSuc, _u1974))) )).
% 19.51/19.75 cnf(matrix-1678, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1975), _u1976)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1975)), hAPP(c_Nat_OSuc, _u1976))) )).
% 19.51/19.75 cnf(matrix-1679, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1977), hAPP(c_Nat_OSuc, _u1978)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1977), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u1978)) )).
% 19.51/19.75 cnf(matrix-1680, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1979)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u1979) )).
% 19.51/19.75 cnf(matrix-1681, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1980), _u1981)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1982), _u1980)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1980), _u1982)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1981), _u1982))) )).
% 19.51/19.75 cnf(matrix-1682, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1983), _u1984)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1983), _u1985)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1984), _u1983)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1985), _u1983))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1984), _u1985)) )).
% 19.51/19.75 cnf(matrix-1683, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1983), _u1984)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1983), _u1985)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1984), _u1985)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1984), _u1983)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1985), _u1983))) )).
% 19.51/19.75 cnf(matrix-1684, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1986), _u1987)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1987)), _u1986) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1987), _u1986))) )).
% 19.51/19.75 cnf(matrix-1685, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1988), _u1989)), hAPP(c_Nat_OSuc, _u1988))) )).
% 19.51/19.75 cnf(matrix-1686, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1992), _u1994)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1992)), _u1994)) )).
% 19.51/19.75 cnf(matrix-1687, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1993)), _u1995)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1993), _u1995)) )).
% 19.51/19.75 cnf(matrix-1688, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1998), hAPP(c_Nat_OSuc, _u2000))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1998), _u2000)) )).
% 19.51/19.75 cnf(matrix-1689, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1999), _u2001)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u1999), hAPP(c_Nat_OSuc, _u2001))) )).
% 19.51/19.75 cnf(matrix-1690, plain, ( ( _u2007 = _u2009) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2005)), _u2007) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2005)), _u2009)) )).
% 19.51/19.75 cnf(matrix-1691, plain, ( ( _u2008 != _u2010) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2006)), _u2008) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2006)), _u2010)) )).
% 19.51/19.75 cnf(matrix-1692, plain, ( ( hAPP(c_Nat_OSuc, _u2011) != hAPP(c_Nat_OSuc, _u2012)) | ( _u2011 = _u2012) )).
% 19.51/19.75 cnf(matrix-1693, plain, ( ( hAPP(c_Nat_OSuc, _u2015) != hAPP(c_Nat_OSuc, _u2017)) | ( _u2015 = _u2017) )).
% 19.51/19.75 cnf(matrix-1694, plain, ( ( _u2016 != _u2018) | ( hAPP(c_Nat_OSuc, _u2016) = hAPP(c_Nat_OSuc, _u2018)) )).
% 19.51/19.75 cnf(matrix-1695, plain, ( ( hAPP(c_Nat_OSuc, _u2019) != _u2019) )).
% 19.51/19.75 cnf(matrix-1696, plain, ( ( _u2020 != hAPP(c_Nat_OSuc, _u2020)) )).
% 19.51/19.75 cnf(matrix-1697, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2021), _u2022)) | ( _u2021 = _u2022) | hBOOL(hAPP(hAPP(_u2023, _u2022), _u2021)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2022), _u2021)) )).
% 19.51/19.75 cnf(matrix-1698, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2024), _u2025)) | ( _u2024 != _u2025) )).
% 19.51/19.75 cnf(matrix-1699, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2026), _u2027)) | ( _u2027 != _u2026) )).
% 19.51/19.75 cnf(matrix-1700, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2028), _u2028)) )).
% 19.51/19.75 cnf(matrix-1701, plain, ( ( _u2029 = _u2030) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2029), _u2030)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2030), _u2029)) )).
% 19.51/19.75 cnf(matrix-1702, plain, ( ( _u2033 = _u2035) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2033), _u2035)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2035), _u2033)) )).
% 19.51/19.75 cnf(matrix-1703, plain, ( ( _u2034 != _u2036) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2034), _u2036)) )).
% 19.51/19.75 cnf(matrix-1704, plain, ( ( _u2034 != _u2036) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2036), _u2034)) )).
% 19.51/19.75 cnf(matrix-1705, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2037), _u2037)) )).
% 19.51/19.75 cnf(matrix-1706, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2038), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2038), _u2038))) )).
% 19.51/19.75 cnf(matrix-1707, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2039), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2039), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2039), _u2039)))) )).
% 19.51/19.75 cnf(matrix-1708, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2040), _u2041)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2040), _u2042)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2041), _u2042))) )).
% 19.51/19.75 cnf(matrix-1709, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2043), _u2044)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2045), _u2043)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2045), _u2044))) )).
% 19.51/19.75 cnf(matrix-1710, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2046), _u2047)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2048), _u2049)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2046), _u2048)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2047), _u2049))) )).
% 19.51/19.75 cnf(matrix-1711, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2050), _u2051)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2051), _u2050)) | ( _u2050 = _u2051) )).
% 19.51/19.75 cnf(matrix-1712, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2052), _u2053)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2053), _u2054)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2052), _u2054)) )).
% 19.51/19.75 cnf(matrix-1713, plain, ( ( _u2055 != _u2056) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2055), _u2056)) )).
% 19.51/19.75 cnf(matrix-1714, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2057), _u2058)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2058), _u2057)) )).
% 19.51/19.75 cnf(matrix-1715, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2059), _u2059)) )).
% 19.51/19.75 cnf(matrix-1716, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2060), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2061), _u2062)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2060), _u2061)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2060), _u2062))) )).
% 19.51/19.75 cnf(matrix-1717, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2063), _u2064)), _u2065) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2063), _u2065)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2064), _u2065))) )).
% 19.51/19.75 cnf(matrix-1718, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2066), _u2067)), _u2068) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2066), _u2068)), _u2067)) )).
% 19.51/19.75 cnf(matrix-1719, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u2069) = _u2069) )).
% 19.51/19.75 cnf(matrix-1720, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2072), _u2074)) | ( _u2072 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 19.51/19.75 cnf(matrix-1721, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2072), _u2074)) | ( _u2074 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 19.51/19.75 cnf(matrix-1722, plain, ( ( _u2073 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2075 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2073), _u2075)) )).
% 19.51/19.75 cnf(matrix-1723, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2076), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u2076) )).
% 19.51/19.75 cnf(matrix-1724, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2079), _u2081) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2079 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 19.51/19.75 cnf(matrix-1725, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2079), _u2081) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2081 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 19.51/19.75 cnf(matrix-1726, plain, ( ( _u2080 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2082 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2080), _u2082) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 19.51/19.75 cnf(matrix-1727, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2083)), hAPP(c_Nat_OSuc, _u2084))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2083), _u2084)) )).
% 19.51/19.75 cnf(matrix-1728, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2085)), _u2086)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2085), _u2086)) )).
% 19.51/19.75 cnf(matrix-1729, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2087), hAPP(c_Nat_OSuc, _u2088))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2087), _u2088)) | ( _u2087 = _u2088) )).
% 19.51/19.75 cnf(matrix-1730, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2089), _u2090)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2090), _u2091)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2089)), _u2091)) )).
% 19.51/19.75 cnf(matrix-1731, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2092), _u2093)) | ( hAPP(c_Nat_OSuc, _u2092) = _u2093) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2092)), _u2093)) )).
% 19.51/19.75 cnf(matrix-1732, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2094), _u2095)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2094), hAPP(c_Nat_OSuc, _u2095))) )).
% 19.51/19.75 cnf(matrix-1733, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2096), _u2097)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2096), hAPP(c_Nat_OSuc, _u2097))) | ( _u2097 = _u2096) )).
% 19.51/19.75 cnf(matrix-1734, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2098), _u2099)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2098), hAPP(c_Nat_OSuc, _u2099))) | ( _u2098 = _u2099) )).
% 19.51/19.75 cnf(matrix-1735, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2098), _u2099)) | ( _u2098 != _u2099) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2098), hAPP(c_Nat_OSuc, _u2099))) )).
% 19.51/19.75 cnf(matrix-1736, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2105), _u2107)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2103)), _u2105)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2103)), _u2107))) )).
% 19.51/19.75 cnf(matrix-1737, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2106), _u2108)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2104)), _u2106)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2104)), _u2108))) )).
% 19.51/19.75 cnf(matrix-1738, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2111)), hAPP(c_Nat_OSuc, _u2113))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2111), _u2113)) )).
% 19.51/19.75 cnf(matrix-1739, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2112), _u2114)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2112)), hAPP(c_Nat_OSuc, _u2114))) )).
% 19.51/19.75 cnf(matrix-1740, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2117), hAPP(c_Nat_OSuc, _u2119))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2117), _u2119)) | ( _u2117 = _u2119) )).
% 19.51/19.75 cnf(matrix-1741, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2118), hAPP(c_Nat_OSuc, _u2120))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2118), _u2120)) )).
% 19.51/19.75 cnf(matrix-1742, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2118), hAPP(c_Nat_OSuc, _u2120))) | ( _u2118 != _u2120) )).
% 19.51/19.75 cnf(matrix-1743, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2123), _u2125)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2125), hAPP(c_Nat_OSuc, _u2123))) )).
% 19.51/19.75 cnf(matrix-1744, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2126), hAPP(c_Nat_OSuc, _u2124))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2124), _u2126)) )).
% 19.51/19.75 cnf(matrix-1745, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2132), _u2134)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2130)), _u2132)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2130)), _u2134))) )).
% 19.51/19.75 cnf(matrix-1746, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2133), _u2135)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2131)), _u2133)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2131)), _u2135))) )).
% 19.51/19.75 cnf(matrix-1747, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2136)), _u2137)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2136), _u2137)) )).
% 19.51/19.75 cnf(matrix-1748, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2138), hAPP(c_Nat_OSuc, _u2139))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2138), _u2139)) | ( _u2138 = hAPP(c_Nat_OSuc, _u2139)) )).
% 19.51/19.75 cnf(matrix-1749, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2140), _u2141)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2140), hAPP(c_Nat_OSuc, _u2141))) )).
% 19.51/19.75 cnf(matrix-1750, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2144)), hAPP(c_Nat_OSuc, _u2146))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2144), _u2146)) )).
% 19.51/19.75 cnf(matrix-1751, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2145), _u2147)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2145)), hAPP(c_Nat_OSuc, _u2147))) )).
% 19.51/19.75 cnf(matrix-1752, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2150), hAPP(c_Nat_OSuc, _u2152))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2150), _u2152)) | ( _u2150 = hAPP(c_Nat_OSuc, _u2152)) )).
% 19.51/19.75 cnf(matrix-1753, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2151), hAPP(c_Nat_OSuc, _u2153))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2151), _u2153)) )).
% 19.51/19.75 cnf(matrix-1754, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2151), hAPP(c_Nat_OSuc, _u2153))) | ( _u2151 != hAPP(c_Nat_OSuc, _u2153)) )).
% 19.51/19.75 cnf(matrix-1755, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2156), _u2158)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2158)), _u2156)) )).
% 19.51/19.75 cnf(matrix-1756, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2159)), _u2157)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2157), _u2159)) )).
% 19.51/19.75 cnf(matrix-1757, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2160)), _u2160)) )).
% 19.51/19.75 cnf(matrix-1758, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2161), _u2162)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2161), _u2162)) )).
% 19.51/19.75 cnf(matrix-1759, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2161), _u2162)) | ( _u2161 != _u2162) )).
% 19.51/19.75 cnf(matrix-1760, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2163), _u2164)) | ( _u2163 = _u2164) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2163), _u2164)) )).
% 19.51/19.75 cnf(matrix-1761, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2165), _u2166)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2165), _u2166)) )).
% 19.51/19.75 cnf(matrix-1762, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2169), _u2171)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2169), _u2171)) | ( _u2169 = _u2171) )).
% 19.51/19.75 cnf(matrix-1763, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2170), _u2172)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2170), _u2172)) )).
% 19.51/19.75 cnf(matrix-1764, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2170), _u2172)) | ( _u2170 != _u2172) )).
% 19.51/19.75 cnf(matrix-1765, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2175), _u2177)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2175), _u2177)) )).
% 19.51/19.75 cnf(matrix-1766, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2175), _u2177)) | ( _u2175 != _u2177) )).
% 19.51/19.75 cnf(matrix-1767, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2176), _u2178)) | ( _u2176 = _u2178) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2176), _u2178)) )).
% 19.51/19.75 cnf(matrix-1768, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2179)), _u2180)), hAPP(c_Nat_OSuc, _u2181)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2179), _u2180)), _u2181)) )).
% 19.51/19.75 cnf(matrix-1769, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2182)), hAPP(c_Nat_OSuc, _u2183)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2182), _u2183)) )).
% 19.51/19.75 cnf(matrix-1770, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2184), _u2185)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2184), _u2186)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2186), _u2185)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2186), _u2184))) )).
% 19.51/19.75 cnf(matrix-1771, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2187), _u2188)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2187), _u2189)), _u2188)) )).
% 19.51/19.75 cnf(matrix-1772, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2190), _u2191)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2190), _u2192)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2191), _u2190)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2192), _u2190))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2191), _u2192)) )).
% 19.51/19.75 cnf(matrix-1773, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2190), _u2191)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2190), _u2192)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2191), _u2192)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2191), _u2190)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2192), _u2190))) )).
% 19.51/19.75 cnf(matrix-1774, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2193), _u2194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2193), _u2195)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2194), _u2193)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2195), _u2193)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2194), _u2195)) )).
% 19.51/19.75 cnf(matrix-1775, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2196), _u2197)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2196), _u2198)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2197), _u2196) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2198), _u2196)) | ( _u2197 = _u2198) )).
% 19.51/19.75 cnf(matrix-1776, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2196), _u2197)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2196), _u2198)) | ( _u2197 != _u2198) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2197), _u2196) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2198), _u2196)) )).
% 19.51/19.75 cnf(matrix-1777, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2199), _u2200)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2200), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2200), _u2199)) = _u2199) )).
% 19.51/19.75 cnf(matrix-1778, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2201), _u2202)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2201), _u2203)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2202), _u2203))) )).
% 19.51/19.75 cnf(matrix-1779, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2204), _u2205)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2206), _u2205)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2206), _u2204))) )).
% 19.51/19.75 cnf(matrix-1780, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2207), _u2208)), _u2207)) )).
% 19.51/19.75 cnf(matrix-1781, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2209)), _u2210)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2209), _u2210)) )).
% 19.51/19.75 cnf(matrix-1782, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2211), _u2212)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2212), hAPP(c_Nat_OSuc, _u2211))) | ( _u2212 = _u2211) )).
% 19.51/19.75 cnf(matrix-1783, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2211), _u2212)) | ( _u2212 != _u2211) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2212), hAPP(c_Nat_OSuc, _u2211))) )).
% 19.51/19.75 cnf(matrix-1784, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2213), _u2214)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2213)), _u2214)) )).
% 19.51/19.75 cnf(matrix-1785, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2215), _u2216)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2215), hAPP(c_Nat_OSuc, _u2216))) )).
% 19.51/19.75 cnf(matrix-1786, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2219)), _u2221)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2219), _u2221)) )).
% 19.51/19.75 cnf(matrix-1787, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2220), _u2222)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2220)), _u2222)) )).
% 19.51/19.75 cnf(matrix-1788, plain, ( ~class_Rings_Olinordered__semidom(_u2223) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2223), c_Groups_Oone__class_Oone(_u2223)), _u2224)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2223), c_Groups_Oone__class_Oone(_u2223)), _u2225)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2223), c_Groups_Oone__class_Oone(_u2223)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2223), _u2224), _u2225))) )).
% 19.51/19.75 cnf(matrix-1789, plain, ( ~c_Finite__Set_Ofun__left__comm(_u2227, _u2228, _u2229) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2227, _u2228, _u2229, _u2230, _u2231), _u2232)) | ~hBOOL(hAPP(hAPP(c_member(_u2227), _u2233), _u2231)) | ( _u2232 = hAPP(hAPP(_u2229, _u2233), skolem34(_u2233, _u2232, _u2231, _u2230, _u2229, _u2228, _u2227))) )).
% 19.51/19.75 cnf(matrix-1790, plain, ( ~c_Finite__Set_Ofun__left__comm(_u2227, _u2228, _u2229) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2227, _u2228, _u2229, _u2230, _u2231), _u2232)) | ~hBOOL(hAPP(hAPP(c_member(_u2227), _u2233), _u2231)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2227, _u2228, _u2229, _u2230, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2227, tc_HOL_Obool)), _u2231), hAPP(hAPP(c_Set_Oinsert(_u2227), _u2233), c_Orderings_Obot__class_Obot(tc_fun(_u2227, tc_HOL_Obool))))), skolem34(_u2233, _u2232, _u2231, _u2230, _u2229, _u2228, _u2227))) )).
% 19.51/19.75 cnf(matrix-1791, plain, ( ~class_Lattices_Olattice(_u2236) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2236), _u2237)) | ( _u2237 = c_Orderings_Obot__class_Obot(tc_fun(_u2236, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2236), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2236), skolem35(_u2237, _u2236)), skolem36(_u2237, _u2236))), hAPP(hAPP(c_Set_Oinsert(_u2236), skolem35(_u2237, _u2236)), hAPP(hAPP(c_Set_Oinsert(_u2236), skolem36(_u2237, _u2236)), c_Orderings_Obot__class_Obot(tc_fun(_u2236, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u2236), c_Big__Operators_Olattice__class_OInf__fin(_u2236, _u2237)), _u2237)) )).
% 19.51/19.75 cnf(matrix-1792, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2238), _u2239)) | ~hBOOL(hAPP(hAPP(c_member(_u2238), _u2240), _u2239)) | ( hAPP(c_Finite__Set_Ocard(_u2238), _u2239) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u2238), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2238, tc_HOL_Obool)), _u2239), hAPP(hAPP(c_Set_Oinsert(_u2238), _u2240), c_Orderings_Obot__class_Obot(tc_fun(_u2238, tc_HOL_Obool))))))) )).
% 19.51/19.75 cnf(matrix-1793, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2241), _u2242)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2241), _u2242)) )).
% 19.51/19.75 cnf(matrix-1794, plain, ( ~class_Rings_Ocomm__semiring__1(_u2243) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2243), _u2244), c_Groups_Oone__class_Oone(_u2243)) = _u2244) )).
% 19.51/19.75 cnf(matrix-1795, plain, ( ~class_Rings_Ocomm__semiring__1(_u2245) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2245), c_Groups_Oone__class_Oone(_u2245)), _u2246) = _u2246) )).
% 19.51/19.75 cnf(matrix-1796, plain, ( ~class_Groups_Ocomm__monoid__mult(_u2247) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2248), _u2249)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2248), _u2250)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2248, tc_HOL_Obool)), _u2249), _u2250) != c_Orderings_Obot__class_Obot(tc_fun(_u2248, tc_HOL_Obool))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2247, _u2248, c_Groups_Otimes__class_Otimes(_u2247)), _u2251), c_Groups_Oone__class_Oone(_u2247)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2248, tc_HOL_Obool)), _u2249), _u2250)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2247), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2247, _u2248, c_Groups_Otimes__class_Otimes(_u2247)), _u2251), c_Groups_Oone__class_Oone(_u2247)), _u2249)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2247, _u2248, c_Groups_Otimes__class_Otimes(_u2247)), _u2251), c_Groups_Oone__class_Oone(_u2247)), _u2250))) )).
% 19.51/19.75 cnf(matrix-1797, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2252), _u2253)) | ( hAPP(c_Finite__Set_Ocard(_u2252), hAPP(hAPP(c_Set_Oinsert(_u2252), _u2254), _u2253)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u2252), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2252, tc_HOL_Obool)), _u2253), hAPP(hAPP(c_Set_Oinsert(_u2252), _u2254), c_Orderings_Obot__class_Obot(tc_fun(_u2252, tc_HOL_Obool))))))) )).
% 19.51/19.75 cnf(matrix-1798, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2255) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2255), _u2256)) | ( c_Complete__Lattice_OSup__class_OSup(_u2255, _u2256) = hAPP(hAPP(c_Finite__Set_Ofold(_u2255, _u2255, c_Lattices_Osemilattice__sup__class_Osup(_u2255)), c_Orderings_Obot__class_Obot(_u2255)), _u2256)) )).
% 19.51/19.75 cnf(matrix-1799, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2257), _u2258) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2258), _u2257)) )).
% 19.51/19.75 cnf(matrix-1800, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2259), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2260), _u2261)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2259), _u2260)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2259), _u2261))) )).
% 19.51/19.75 cnf(matrix-1801, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2262), _u2263)), _u2264) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2262), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2263), _u2264))) )).
% 19.51/19.75 cnf(matrix-1802, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2265), _u2266)), _u2267) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2265), _u2267)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2266), _u2267))) )).
% 19.51/19.75 cnf(matrix-1803, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2271), _u2273) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2275), _u2273)) | ( _u2271 = _u2275) )).
% 19.51/19.75 cnf(matrix-1804, plain, ( ( _u2272 != _u2276) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2272), _u2274) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2276), _u2274)) )).
% 19.51/19.75 cnf(matrix-1805, plain, ( ( _u2282 = _u2284) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2280), _u2282) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2280), _u2284)) )).
% 19.51/19.75 cnf(matrix-1806, plain, ( ( _u2283 != _u2285) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2281), _u2283) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2281), _u2285)) )).
% 19.51/19.75 cnf(matrix-1807, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2286), _u2287)), _u2288) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2286), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2287), _u2288))) )).
% 19.51/19.75 cnf(matrix-1808, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2289), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2290), _u2291)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2290), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2289), _u2291))) )).
% 19.51/19.75 cnf(matrix-1809, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2292), _u2293) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2293), _u2292)) )).
% 19.51/19.75 cnf(matrix-1810, plain, ( ~class_Groups_Ocancel__semigroup__add(_u2294) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2294), _u2295), _u2296) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2294), _u2297), _u2296)) | ( _u2295 = _u2297) )).
% 19.51/19.75 cnf(matrix-1811, plain, ( ~class_Groups_Ocancel__ab__semigroup__add(_u2298) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2298), _u2299), _u2300) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2298), _u2299), _u2301)) | ( _u2300 = _u2301) )).
% 19.51/19.75 cnf(matrix-1812, plain, ( ~class_Groups_Ocancel__semigroup__add(_u2302) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2302), _u2303), _u2304) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2302), _u2303), _u2305)) | ( _u2304 = _u2305) )).
% 19.51/19.75 cnf(matrix-1813, plain, ( ~class_Groups_Ocancel__semigroup__add(_u2306) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2306), _u2307), _u2308) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2306), _u2309), _u2308)) | ( _u2307 = _u2309) )).
% 19.51/19.75 cnf(matrix-1814, plain, ( ~class_Groups_Ocancel__semigroup__add(_u2306) | ( _u2307 != _u2309) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2306), _u2307), _u2308) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2306), _u2309), _u2308)) )).
% 19.51/19.75 cnf(matrix-1815, plain, ( ~class_Groups_Ocancel__semigroup__add(_u2310) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2310), _u2311), _u2312) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2310), _u2311), _u2313)) | ( _u2312 = _u2313) )).
% 19.51/19.75 cnf(matrix-1816, plain, ( ~class_Groups_Ocancel__semigroup__add(_u2310) | ( _u2312 != _u2313) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2310), _u2311), _u2312) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2310), _u2311), _u2313)) )).
% 19.51/19.75 cnf(matrix-1817, plain, ( ~class_Groups_Oab__semigroup__add(_u2314) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2314), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2314), _u2315), _u2316)), _u2317) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2314), _u2315), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2314), _u2316), _u2317))) )).
% 19.51/19.75 cnf(matrix-1818, plain, ( ~class_Rings_Ocomm__semiring__1(_u2318) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2318), _u2319), _u2320) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2318), _u2320), _u2319)) )).
% 19.51/19.75 cnf(matrix-1819, plain, ( ~class_Rings_Ocomm__semiring__1(_u2321) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2321), _u2322), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2321), _u2323), _u2324)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2321), _u2323), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2321), _u2322), _u2324))) )).
% 19.51/19.75 cnf(matrix-1820, plain, ( ~class_Rings_Ocomm__semiring__1(_u2325) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2325), _u2326), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2325), _u2327), _u2328)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2325), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2325), _u2326), _u2327)), _u2328)) )).
% 19.51/19.75 cnf(matrix-1821, plain, ( ~class_Rings_Ocomm__semiring__1(_u2329) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2329), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2329), _u2330), _u2331)), _u2332) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2329), _u2330), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2329), _u2331), _u2332))) )).
% 19.51/19.75 cnf(matrix-1822, plain, ( ~class_Rings_Ocomm__semiring__1(_u2333) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2333), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2333), _u2334), _u2335)), _u2336) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2333), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2333), _u2334), _u2336)), _u2335)) )).
% 19.51/19.75 cnf(matrix-1823, plain, ( ~class_Rings_Ocomm__semiring__1(_u2337) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2337), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2337), _u2338), _u2339)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2337), _u2340), _u2341)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2337), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2337), _u2338), _u2340)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2337), _u2339), _u2341))) )).
% 19.51/19.75 cnf(matrix-1824, plain, ( ~class_Rings_Ocomm__semiring__1(_u2342) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2342), _u2343), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2342), _u2344), _u2345)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2342), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2342), _u2343), _u2344)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2342), _u2343), _u2345))) )).
% 19.51/19.75 cnf(matrix-1825, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2346) | ( _u2347 = _u2348) | ( _u2349 = _u2350) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2346), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2346), _u2347), _u2349)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2346), _u2348), _u2350)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2346), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2346), _u2347), _u2350)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2346), _u2348), _u2349))) )).
% 19.51/19.75 cnf(matrix-1826, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2346) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2346), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2346), _u2347), _u2349)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2346), _u2348), _u2350)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2346), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2346), _u2347), _u2350)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2346), _u2348), _u2349))) | ( _u2347 != _u2348) )).
% 19.51/19.75 cnf(matrix-1827, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2346) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2346), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2346), _u2347), _u2349)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2346), _u2348), _u2350)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2346), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2346), _u2347), _u2350)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2346), _u2348), _u2349))) | ( _u2349 != _u2350) )).
% 19.51/19.75 cnf(matrix-1828, plain, ( ~class_Rings_Ocomm__semiring(_u2351) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2351), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2351), _u2352), _u2353)), _u2354) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2351), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2351), _u2352), _u2354)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2351), _u2353), _u2354))) )).
% 19.51/19.75 cnf(matrix-1829, plain, ( ~class_Rings_Ocomm__semiring__1(_u2355) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2355), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2355), _u2356), _u2357)), _u2358) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2355), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2355), _u2356), _u2358)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2355), _u2357), _u2358))) )).
% 19.51/19.75 cnf(matrix-1830, plain, ( ~class_Rings_Ocomm__semiring__1(_u2359) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2359), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2359), _u2360), _u2361)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2359), _u2362), _u2361)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2359), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2359), _u2360), _u2362)), _u2361)) )).
% 19.51/19.75 cnf(matrix-1831, plain, ( ~class_Rings_Osemiring(_u2363) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2363), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2363), _u2364), _u2365)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2363), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2363), _u2366), _u2365)), _u2367)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2363), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2363), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2363), _u2364), _u2366)), _u2365)), _u2367)) )).
% 19.51/19.75 cnf(matrix-1832, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2368) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2368), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2368), _u2369), _u2370)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2368), _u2371), _u2372)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2368), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2368), _u2369), _u2372)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2368), _u2371), _u2370))) | ( _u2369 = _u2371) | ( _u2370 = _u2372) )).
% 19.51/19.75 cnf(matrix-1833, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2368) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2368), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2368), _u2369), _u2370)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2368), _u2371), _u2372)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2368), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2368), _u2369), _u2372)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2368), _u2371), _u2370))) | ( _u2369 != _u2371) )).
% 19.51/19.75 cnf(matrix-1834, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u2368) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2368), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2368), _u2369), _u2370)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2368), _u2371), _u2372)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2368), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2368), _u2369), _u2372)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2368), _u2371), _u2370))) | ( _u2370 != _u2372) )).
% 19.51/19.75 cnf(matrix-1835, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2373), _u2374)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2373), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2374), _u2375))) )).
% 19.51/19.75 cnf(matrix-1836, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2376), _u2377)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2376), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2378), _u2377))) )).
% 19.51/19.75 cnf(matrix-1837, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2379), _u2380)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2379), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2380), _u2381))) )).
% 19.51/19.75 cnf(matrix-1838, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2382), _u2383)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2382), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2384), _u2383))) )).
% 19.51/19.75 cnf(matrix-1839, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2385) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2385), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2385), _u2386), _u2387)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2385), _u2388), _u2387))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2385), _u2386), _u2388)) )).
% 19.51/19.75 cnf(matrix-1840, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2385) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2385), _u2386), _u2388)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2385), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2385), _u2386), _u2387)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2385), _u2388), _u2387))) )).
% 19.51/19.75 cnf(matrix-1841, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2389) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2389), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2389), _u2390), _u2391)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2389), _u2390), _u2392))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2389), _u2391), _u2392)) )).
% 19.51/19.75 cnf(matrix-1842, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2389) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2389), _u2391), _u2392)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2389), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2389), _u2390), _u2391)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2389), _u2390), _u2392))) )).
% 19.51/19.75 cnf(matrix-1843, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u2393) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2393), _u2394), _u2395)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2393), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2393), _u2394), _u2396)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2393), _u2395), _u2396))) )).
% 19.51/19.75 cnf(matrix-1844, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u2397) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2397), _u2398), _u2399)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2397), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2397), _u2400), _u2398)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2397), _u2400), _u2399))) )).
% 19.51/19.75 cnf(matrix-1845, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u2401) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2401), _u2402), _u2403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2401), _u2404), _u2405)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2401), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2401), _u2402), _u2404)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2401), _u2403), _u2405))) )).
% 19.51/19.75 cnf(matrix-1846, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2406) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2406), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2406), _u2407), _u2408)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2406), _u2409), _u2408))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2406), _u2407), _u2409)) )).
% 19.51/19.75 cnf(matrix-1847, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2410) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2410), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2410), _u2411), _u2412)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2410), _u2411), _u2413))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2410), _u2412), _u2413)) )).
% 19.51/19.75 cnf(matrix-1848, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2414) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2414), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2414), _u2415), _u2416)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2414), _u2417), _u2416))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2414), _u2415), _u2417)) )).
% 19.51/19.75 cnf(matrix-1849, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2414) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2414), _u2415), _u2417)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2414), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2414), _u2415), _u2416)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2414), _u2417), _u2416))) )).
% 19.51/19.75 cnf(matrix-1850, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2418) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2418), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2418), _u2419), _u2420)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2418), _u2419), _u2421))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2418), _u2420), _u2421)) )).
% 19.51/19.75 cnf(matrix-1851, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2418) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2418), _u2420), _u2421)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2418), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2418), _u2419), _u2420)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2418), _u2419), _u2421))) )).
% 19.51/19.75 cnf(matrix-1852, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2422) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2422), _u2423), _u2424)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2422), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2422), _u2423), _u2425)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2422), _u2424), _u2425))) )).
% 19.51/19.75 cnf(matrix-1853, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2426) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2426), _u2427), _u2428)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2426), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2426), _u2429), _u2427)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2426), _u2429), _u2428))) )).
% 19.51/19.75 cnf(matrix-1854, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2430) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2430), _u2431), _u2432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2430), _u2433), _u2434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2430), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2430), _u2431), _u2433)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2430), _u2432), _u2434))) )).
% 19.51/19.75 cnf(matrix-1855, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2435) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2435), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2435), _u2436), _u2437)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2435), _u2438), _u2437))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2435), _u2436), _u2438)) )).
% 19.51/19.75 cnf(matrix-1856, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u2439) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2439), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2439), _u2440), _u2441)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2439), _u2440), _u2442))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2439), _u2441), _u2442)) )).
% 19.51/19.75 cnf(matrix-1857, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2443), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2443, tc_HOL_Obool), _u2444))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2443, tc_HOL_Obool)), _u2444)) )).
% 19.51/19.75 cnf(matrix-1858, plain, ( ~class_Groups_Ogroup__add(_u2445) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2445), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2445), _u2446), _u2447)), _u2447) = _u2446) )).
% 19.51/19.75 cnf(matrix-1859, plain, ( ~class_Groups_Ogroup__add(_u2448) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2448), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2448), _u2449), _u2450)), _u2450) = _u2449) )).
% 19.51/19.75 cnf(matrix-1860, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2451), hAPP(c_Nat_OSuc, _u2452)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2451), _u2452))) )).
% 19.51/19.75 cnf(matrix-1861, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2453)), _u2454) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2453), _u2454))) )).
% 19.51/19.75 cnf(matrix-1862, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2455)), _u2456) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2455), hAPP(c_Nat_OSuc, _u2456))) )).
% 19.51/19.75 cnf(matrix-1863, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2457)), _u2458) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2458), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2457), _u2458))) )).
% 19.51/19.75 cnf(matrix-1864, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2459), hAPP(c_Nat_OSuc, _u2460)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2459), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2459), _u2460))) )).
% 19.51/19.75 cnf(matrix-1865, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2461), _u2462)), _u2461)) )).
% 19.51/19.75 cnf(matrix-1866, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2463), _u2464)), _u2464)) )).
% 19.51/19.75 cnf(matrix-1867, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2470), _u2472)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2468), _u2470)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2468), _u2472))) )).
% 19.51/19.75 cnf(matrix-1868, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2471), _u2473)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2469), _u2471)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2469), _u2473))) )).
% 19.51/19.75 cnf(matrix-1869, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2474), _u2475)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2474), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2475), _u2476))) )).
% 19.51/19.75 cnf(matrix-1870, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2477), _u2478)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2477), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2479), _u2478))) )).
% 19.51/19.75 cnf(matrix-1871, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2480), _u2481)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2480), _u2482)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2481), _u2482))) )).
% 19.51/19.75 cnf(matrix-1872, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2483), _u2484)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2485), _u2486)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2483), _u2485)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2484), _u2486))) )).
% 19.51/19.75 cnf(matrix-1873, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2487), _u2488)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2489), _u2488) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2487), _u2490)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2489), _u2490)) )).
% 19.51/19.75 cnf(matrix-1874, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2491), _u2492)), _u2493)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2491), _u2493)) )).
% 19.51/19.75 cnf(matrix-1875, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2494), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2495), _u2494))) )).
% 19.51/19.75 cnf(matrix-1876, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2496), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2496), _u2497))) )).
% 19.51/19.75 cnf(matrix-1877, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2502), _u2504)) | ( _u2504 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2502), skolem37(_u2504, _u2502))) )).
% 19.51/19.75 cnf(matrix-1878, plain, ( ( _u2505 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2503), _u2499)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2503), _u2505)) )).
% 19.51/19.75 cnf(matrix-1879, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2511), _u2513)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2509), _u2511)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2509), _u2513))) )).
% 19.51/19.75 cnf(matrix-1880, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2512), _u2514)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2510), _u2512)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2510), _u2514))) )).
% 19.51/19.75 cnf(matrix-1881, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2515), _u2516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2515), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2516), _u2517))) )).
% 19.51/19.75 cnf(matrix-1882, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2518), _u2519)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2518), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2520), _u2519))) )).
% 19.51/19.75 cnf(matrix-1883, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2521), _u2522)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2521), _u2523)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2522), _u2523))) )).
% 19.51/19.75 cnf(matrix-1884, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2524), _u2525)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2526), _u2527)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2524), _u2526)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2525), _u2527))) )).
% 19.51/19.75 cnf(matrix-1885, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2529), _u2530)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2528), _u2529)), _u2530)) )).
% 19.51/19.75 cnf(matrix-1886, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2531), _u2532)), _u2533)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2531), _u2533)) )).
% 19.51/19.75 cnf(matrix-1887, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2534), _u2535)), _u2536)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2534), _u2536)) )).
% 19.51/19.75 cnf(matrix-1888, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2534), _u2535)), _u2536)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2535), _u2536)) )).
% 19.51/19.75 cnf(matrix-1889, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2537), _u2538)), _u2538) = _u2537) )).
% 19.51/19.75 cnf(matrix-1890, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2539), _u2540)), _u2539) = _u2540) )).
% 19.51/19.75 cnf(matrix-1891, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2541), _u2542)), _u2543) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2541), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2542), _u2543))) )).
% 19.51/19.75 cnf(matrix-1892, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2544), _u2545)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2544), _u2546)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2545), _u2546)) )).
% 19.51/19.75 cnf(matrix-1893, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2547), _u2548)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2549), _u2548)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2547), _u2549)) )).
% 19.51/19.75 cnf(matrix-1894, plain, ( ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2550, _u2551, _u2552), _u2553), _u2554), c_Orderings_Obot__class_Obot(tc_fun(_u2551, tc_HOL_Obool))) = _u2554) )).
% 19.51/19.75 cnf(matrix-1895, plain, ( ~class_Rings_Olinordered__semidom(_u2555) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2555), _u2556), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2555), _u2556), c_Groups_Oone__class_Oone(_u2555)))) )).
% 19.51/19.75 cnf(matrix-1896, plain, ( ~class_Rings_Oring(_u2557) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2557), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2557), _u2558), _u2559)), _u2560) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2557), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2557), _u2561), _u2559)), _u2562)) | ( _u2560 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2557), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2557), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2557), _u2561), _u2558)), _u2559)), _u2562)) )).
% 19.51/19.75 cnf(matrix-1897, plain, ( ~class_Rings_Oring(_u2557) | ( _u2560 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2557), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2557), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2557), _u2561), _u2558)), _u2559)), _u2562)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2557), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2557), _u2558), _u2559)), _u2560) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2557), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2557), _u2561), _u2559)), _u2562)) )).
% 19.51/19.75 cnf(matrix-1898, plain, ( ~class_Rings_Oring(_u2563) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2563), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2563), _u2564), _u2565)), _u2566) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2563), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2563), _u2567), _u2565)), _u2568)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2563), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2563), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2563), _u2564), _u2567)), _u2565)), _u2566) = _u2568) )).
% 19.51/19.75 cnf(matrix-1899, plain, ( ~class_Rings_Oring(_u2563) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2563), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2563), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2563), _u2564), _u2567)), _u2565)), _u2566) != _u2568) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2563), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2563), _u2564), _u2565)), _u2566) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2563), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2563), _u2567), _u2565)), _u2568)) )).
% 19.51/19.75 cnf(matrix-1900, plain, ( ~class_Rings_Ocomm__semiring__1(_u2569) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2569), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2569), _u2570), _u2571)), _u2571) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2569), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2569), _u2570), c_Groups_Oone__class_Oone(_u2569))), _u2571)) )).
% 19.51/19.75 cnf(matrix-1901, plain, ( ~class_Rings_Ocomm__semiring__1(_u2572) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2572), _u2573), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2572), _u2574), _u2573)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2572), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2572), _u2574), c_Groups_Oone__class_Oone(_u2572))), _u2573)) )).
% 19.51/19.75 cnf(matrix-1902, plain, ( ~class_Rings_Ocomm__semiring__1(_u2575) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2575), _u2576), _u2576) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2575), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2575), c_Groups_Oone__class_Oone(_u2575)), c_Groups_Oone__class_Oone(_u2575))), _u2576)) )).
% 19.51/19.75 cnf(matrix-1903, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2577) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2577), _u2578), _u2579)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2577), _u2580), _u2581)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2577), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2577), _u2578), _u2580)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2577), _u2579), _u2581))) )).
% 19.51/19.75 cnf(matrix-1904, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2582) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2582), _u2583), _u2584)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2582), _u2585), _u2586)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2582), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2582), _u2583), _u2585)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2582), _u2584), _u2586))) )).
% 19.51/19.75 cnf(matrix-1905, plain, ( ~class_Rings_Oordered__ring(_u2587) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2587), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2587), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2587), _u2588), _u2589)), _u2590)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2587), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2587), _u2591), _u2589)), _u2592))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2587), _u2590), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2587), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2587), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2587), _u2591), _u2588)), _u2589)), _u2592))) )).
% 19.51/19.75 cnf(matrix-1906, plain, ( ~class_Rings_Oordered__ring(_u2587) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2587), _u2590), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2587), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2587), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2587), _u2591), _u2588)), _u2589)), _u2592))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2587), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2587), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2587), _u2588), _u2589)), _u2590)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2587), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2587), _u2591), _u2589)), _u2592))) )).
% 19.51/19.75 cnf(matrix-1907, plain, ( ~class_Rings_Oordered__ring(_u2593) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2593), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2593), _u2594), _u2595)), _u2596)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2593), _u2597), _u2595)), _u2598))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2593), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2593), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2593), _u2594), _u2597)), _u2595)), _u2596)), _u2598)) )).
% 19.51/19.75 cnf(matrix-1908, plain, ( ~class_Rings_Oordered__ring(_u2593) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2593), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2593), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2593), _u2594), _u2597)), _u2595)), _u2596)), _u2598)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2593), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2593), _u2594), _u2595)), _u2596)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2593), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2593), _u2597), _u2595)), _u2598))) )).
% 19.51/19.75 cnf(matrix-1909, plain, ( ~class_Rings_Oordered__ring(_u2599) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2599), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2599), _u2600), _u2601)), _u2602)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2599), _u2603), _u2601)), _u2604))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2599), _u2602), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2599), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2599), _u2603), _u2600)), _u2601)), _u2604))) )).
% 19.51/19.75 cnf(matrix-1910, plain, ( ~class_Rings_Oordered__ring(_u2599) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2599), _u2602), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2599), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2599), _u2603), _u2600)), _u2601)), _u2604))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2599), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2599), _u2600), _u2601)), _u2602)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2599), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2599), _u2603), _u2601)), _u2604))) )).
% 19.51/19.75 cnf(matrix-1911, plain, ( ~class_Rings_Oordered__ring(_u2605) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2605), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2605), _u2606), _u2607)), _u2608)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2605), _u2609), _u2607)), _u2610))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2605), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2605), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2605), _u2606), _u2609)), _u2607)), _u2608)), _u2610)) )).
% 19.51/19.75 cnf(matrix-1912, plain, ( ~class_Rings_Oordered__ring(_u2605) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2605), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2605), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2605), _u2606), _u2609)), _u2607)), _u2608)), _u2610)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2605), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2605), _u2606), _u2607)), _u2608)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2605), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2605), _u2609), _u2607)), _u2610))) )).
% 19.51/19.75 cnf(matrix-1913, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2615), _u2617)) | ( _u2617 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2615), skolem38(_u2617, _u2615)))) )).
% 19.51/19.75 cnf(matrix-1914, plain, ( ( _u2618 != hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2616), _u2612))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2616), _u2618)) )).
% 19.51/19.75 cnf(matrix-1915, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2619), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2620), _u2619)))) )).
% 19.51/19.75 cnf(matrix-1916, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2621), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2621), _u2622)))) )).
% 19.51/19.75 cnf(matrix-1917, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2626), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2628), _u2630))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2626), _u2630)), _u2628)) )).
% 19.51/19.75 cnf(matrix-1918, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2627), _u2631)), _u2629)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2627), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2629), _u2631))) )).
% 19.51/19.75 cnf(matrix-1919, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2632), _u2633)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2633), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2632), _u2633)) = _u2632) )).
% 19.51/19.75 cnf(matrix-1920, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2634), _u2635)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2636), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2635), _u2634)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2636), _u2634)), _u2635)) )).
% 19.51/19.75 cnf(matrix-1921, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2640), _u2642)), _u2644)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2640), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2644), _u2642))) )).
% 19.51/19.75 cnf(matrix-1922, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2641), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2645), _u2643))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2641), _u2643)), _u2645)) )).
% 19.51/19.75 cnf(matrix-1923, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2646), _u2647)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2648), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2647), _u2648)), _u2646))) )).
% 19.51/19.75 cnf(matrix-1924, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2649), _u2650)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2649), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2650), _u2649)) = _u2650) )).
% 19.51/19.75 cnf(matrix-1925, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2651), _u2652)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2653), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2652), _u2651)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2653), _u2652)), _u2651)) )).
% 19.51/19.75 cnf(matrix-1926, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2654), _u2655)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2656), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2655), _u2654))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2656), _u2654)), _u2655)) )).
% 19.51/19.75 cnf(matrix-1927, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2654), _u2655)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2656), _u2654)), _u2655)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2656), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2655), _u2654))) )).
% 19.51/19.75 cnf(matrix-1928, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2657), _u2658)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2658), _u2657)), _u2657) = _u2658) )).
% 19.51/19.75 cnf(matrix-1929, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2659), _u2660)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2660), _u2659) != _u2661) | ( _u2660 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2661), _u2659)) )).
% 19.51/19.75 cnf(matrix-1930, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2659), _u2660)) | ( _u2660 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2661), _u2659)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2660), _u2659) = _u2661) )).
% 19.51/19.75 cnf(matrix-1931, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2662), _u2663)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2664), _u2663)), _u2662) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2664), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2663), _u2662))) )).
% 19.51/19.75 cnf(matrix-1932, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2665), _u2666)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2666), _u2665)), _u2667) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2666), _u2667)), _u2665)) )).
% 19.51/19.75 cnf(matrix-1933, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2668), _u2669)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2669), _u2670)), _u2668) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2669), _u2668)), _u2670)) )).
% 19.51/19.75 cnf(matrix-1934, plain, ( ( hAPP(c_Nat_OSuc, _u2671) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u2671)) )).
% 19.51/19.75 cnf(matrix-1935, plain, ( ( hAPP(c_Nat_OSuc, _u2672) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2672), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 19.51/19.75 cnf(matrix-1936, plain, ( ~c_Finite__Set_Ofolding__image__simple(_u2673, _u2674, _u2675, _u2676, _u2677, _u2678) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2674), _u2679)) | ( hAPP(_u2678, _u2679) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2673, _u2674, _u2675), _u2677), _u2676), _u2679)) )).
% 19.51/19.75 cnf(matrix-1937, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2680), _u2681)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2682), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2681), _u2680))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2682), _u2680)), hAPP(c_Nat_OSuc, _u2681))) )).
% 19.51/19.75 cnf(matrix-1938, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2683), _u2684)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2684), _u2683))), _u2685) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2684)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2683), _u2685))) )).
% 19.51/19.75 cnf(matrix-1939, plain, ( ~class_Rings_Olinordered__idom(_u2686) | ( _u2687 = _u2688) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2686), _u2687), _u2688)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2686), _u2688), _u2687)) )).
% 19.51/19.75 cnf(matrix-1940, plain, ( ~class_Rings_Ocomm__semiring__1(_u2689) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2689), _u2690), _u2691) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2689), _u2691), _u2690)) )).
% 19.51/19.75 cnf(matrix-1941, plain, ( ~class_Rings_Ocomm__semiring__1(_u2692) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2692), _u2693), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2692), _u2694), _u2695)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2692), _u2694), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2692), _u2693), _u2695))) )).
% 19.51/19.75 cnf(matrix-1942, plain, ( ~class_Rings_Ocomm__semiring__1(_u2696) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2696), _u2697), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2696), _u2698), _u2699)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2696), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2696), _u2697), _u2698)), _u2699)) )).
% 19.51/19.75 cnf(matrix-1943, plain, ( ~class_Rings_Ocomm__semiring__1(_u2700) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2700), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2700), _u2701), _u2702)), _u2703) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2700), _u2701), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2700), _u2702), _u2703))) )).
% 19.51/19.75 cnf(matrix-1944, plain, ( ~class_Rings_Ocomm__semiring__1(_u2704) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2704), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2704), _u2705), _u2706)), _u2707) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2704), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2704), _u2705), _u2707)), _u2706)) )).
% 19.51/19.75 cnf(matrix-1945, plain, ( ~class_Rings_Ocomm__semiring__1(_u2708) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2708), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2708), _u2709), _u2710)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2708), _u2711), _u2712)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2708), _u2709), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2708), _u2710), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2708), _u2711), _u2712)))) )).
% 19.51/19.75 cnf(matrix-1946, plain, ( ~class_Rings_Ocomm__semiring__1(_u2713) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2713), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2713), _u2714), _u2715)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2713), _u2716), _u2717)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2713), _u2716), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2713), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2713), _u2714), _u2715)), _u2717))) )).
% 19.51/19.75 cnf(matrix-1947, plain, ( ~class_Rings_Ocomm__semiring__1(_u2718) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2718), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2718), _u2719), _u2720)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2718), _u2721), _u2722)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2718), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2718), _u2719), _u2721)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2718), _u2720), _u2722))) )).
% 19.51/19.75 cnf(matrix-1948, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2723), _u2724)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2723), _u2725)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2723), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2723, tc_HOL_Obool)), _u2724), _u2725))), hAPP(c_Finite__Set_Ocard(_u2723), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2723, tc_HOL_Obool)), _u2724), _u2725))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2723), _u2724)), hAPP(c_Finite__Set_Ocard(_u2723), _u2725))) )).
% 19.51/19.75 cnf(matrix-1949, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2726), _u2727)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2726), _u2728)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2726), _u2727)), hAPP(c_Finite__Set_Ocard(_u2726), _u2728)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2726), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2726, tc_HOL_Obool)), _u2727), _u2728))), hAPP(c_Finite__Set_Ocard(_u2726), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2726, tc_HOL_Obool)), _u2727), _u2728)))) )).
% 19.51/19.75 cnf(matrix-1950, plain, ( ~class_Groups_Oab__semigroup__mult(_u2729) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2730), _u2731)) | hBOOL(hAPP(hAPP(c_member(_u2730), _u2732), _u2731)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2729, _u2730, c_Groups_Otimes__class_Otimes(_u2729)), _u2733), _u2734), hAPP(hAPP(c_Set_Oinsert(_u2730), _u2732), _u2731)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2729), hAPP(_u2733, _u2732)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2729, _u2730, c_Groups_Otimes__class_Otimes(_u2729)), _u2733), _u2734), _u2731))) )).
% 19.51/19.75 cnf(matrix-1951, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2735) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2735), _u2736)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2735), _u2737), c_Complete__Lattice_OSup__class_OSup(_u2735, _u2736)) = hAPP(hAPP(c_Finite__Set_Ofold(_u2735, _u2735, c_Lattices_Osemilattice__sup__class_Osup(_u2735)), _u2737), _u2736)) )).
% 19.51/19.75 cnf(matrix-1952, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2738) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2738), _u2739)) | ( _u2739 = c_Orderings_Obot__class_Obot(tc_fun(_u2738, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u2738, _u2739) = c_Complete__Lattice_OSup__class_OSup(_u2738, _u2739)) )).
% 19.51/19.75 cnf(matrix-1953, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2740), _u2741)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2740), _u2742)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2740, tc_HOL_Obool)), _u2741), _u2742) != c_Orderings_Obot__class_Obot(tc_fun(_u2740, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ocard(_u2740), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2740, tc_HOL_Obool)), _u2741), _u2742)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u2740), _u2741)), hAPP(c_Finite__Set_Ocard(_u2740), _u2742))) )).
% 19.51/19.75 cnf(matrix-1954, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2743), _u2744)) | hBOOL(hAPP(hAPP(c_member(_u2743), _u2745), _u2744)) | ( hAPP(c_Finite__Set_Ocard(_u2743), hAPP(hAPP(c_Set_Oinsert(_u2743), _u2745), _u2744)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u2743), _u2744))) )).
% 19.51/19.75 cnf(matrix-1955, plain, ( ~class_Groups_Ocomm__monoid__mult(_u2746) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2747), _u2748)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2747), _u2749)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2746), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2746, _u2747, c_Groups_Otimes__class_Otimes(_u2746)), _u2750), c_Groups_Oone__class_Oone(_u2746)), _u2748)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2746, _u2747, c_Groups_Otimes__class_Otimes(_u2746)), _u2750), c_Groups_Oone__class_Oone(_u2746)), _u2749)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2746), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2746, _u2747, c_Groups_Otimes__class_Otimes(_u2746)), _u2750), c_Groups_Oone__class_Oone(_u2746)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2747, tc_HOL_Obool)), _u2748), _u2749))), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2746, _u2747, c_Groups_Otimes__class_Otimes(_u2746)), _u2750), c_Groups_Oone__class_Oone(_u2746)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2747, tc_HOL_Obool)), _u2748), _u2749)))) )).
% 19.51/19.75 cnf(matrix-1956, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2751), _u2752)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2751), _u2753)), _u2754)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2752), _u2753)), _u2755))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2754), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2752), _u2751)), _u2753)), _u2755))) )).
% 19.51/19.75 cnf(matrix-1957, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2751), _u2752)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2754), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2752), _u2751)), _u2753)), _u2755))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2751), _u2753)), _u2754)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2752), _u2753)), _u2755))) )).
% 19.51/19.75 cnf(matrix-1958, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2756), _u2757)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2757), _u2758)), _u2759)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2756), _u2758)), _u2760))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2757), _u2756)), _u2758)), _u2759)), _u2760)) )).
% 19.51/19.75 cnf(matrix-1959, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2756), _u2757)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2757), _u2756)), _u2758)), _u2759)), _u2760)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2757), _u2758)), _u2759)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2756), _u2758)), _u2760))) )).
% 19.51/19.75 cnf(matrix-1960, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2761), _u2762)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2762), _u2763)), _u2764)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2761), _u2763)), _u2765))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2762), _u2761)), _u2763)), _u2764)), _u2765)) )).
% 19.51/19.75 cnf(matrix-1961, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2761), _u2762)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2762), _u2761)), _u2763)), _u2764)), _u2765)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2762), _u2763)), _u2764)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2761), _u2763)), _u2765))) )).
% 19.51/19.75 cnf(matrix-1962, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2766), _u2767)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2767), _u2768)), _u2769)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2766), _u2768)), _u2770)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2767), _u2766)), _u2768)), _u2769)), _u2770)) )).
% 19.51/19.75 cnf(matrix-1963, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2771), _u2772)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2772), _u2773)), _u2774) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2771), _u2773)), _u2775)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2772), _u2771)), _u2773)), _u2774) = _u2775) )).
% 19.51/19.75 cnf(matrix-1964, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2771), _u2772)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2772), _u2771)), _u2773)), _u2774) != _u2775) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2772), _u2773)), _u2774) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2771), _u2773)), _u2775)) )).
% 19.51/19.75 cnf(matrix-1965, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2776), _u2777)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2776), _u2778)), _u2779)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2777), _u2778)), _u2780))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2779), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2777), _u2776)), _u2778)), _u2780))) )).
% 19.51/19.75 cnf(matrix-1966, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2776), _u2777)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2779), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2777), _u2776)), _u2778)), _u2780))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2776), _u2778)), _u2779)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2777), _u2778)), _u2780))) )).
% 19.51/19.75 cnf(matrix-1967, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2781), _u2782)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2781), _u2783)), _u2784)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2782), _u2783)), _u2785)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2784), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2782), _u2781)), _u2783)), _u2785))) )).
% 19.51/19.75 cnf(matrix-1968, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2786), _u2787)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2786), _u2788)), _u2789) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2787), _u2788)), _u2790)) | ( _u2789 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2787), _u2786)), _u2788)), _u2790)) )).
% 19.51/19.75 cnf(matrix-1969, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2786), _u2787)) | ( _u2789 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2787), _u2786)), _u2788)), _u2790)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2786), _u2788)), _u2789) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2787), _u2788)), _u2790)) )).
% 19.51/19.75 cnf(matrix-1970, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2791) | ( c_Complete__Lattice_OSup__class_OSup(_u2791, hAPP(hAPP(c_Set_Oinsert(_u2791), _u2792), hAPP(hAPP(c_Set_Oinsert(_u2791), _u2793), c_Orderings_Obot__class_Obot(tc_fun(_u2791, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2791), _u2792), _u2793)) )).
% 19.51/19.75 cnf(matrix-1971, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2794, tc_HOL_Obool)), _u2795), _u2796)) | ~hBOOL(hAPP(hAPP(c_member(_u2794), _u2797), _u2795)) | hBOOL(hAPP(hAPP(c_member(_u2794), _u2797), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2794, tc_HOL_Obool), _u2796))) )).
% 19.51/19.75 cnf(matrix-1972, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2798, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2798, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u2798, tc_HOL_Obool))) )).
% 19.51/19.75 cnf(matrix-1973, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u2799, tc_HOL_Obool), tc_HOL_Obool)), _u2800), _u2801)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2799, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2799, tc_HOL_Obool), _u2800)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2799, tc_HOL_Obool), _u2801))) )).
% 19.51/19.75 cnf(matrix-1974, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2802, tc_HOL_Obool)), _u2803), _u2804)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2802, tc_HOL_Obool)), _u2803), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2802, tc_HOL_Obool), _u2804))) )).
% 19.51/19.75 cnf(matrix-1975, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2805, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u2805, tc_HOL_Obool)), _u2806), _u2807)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2805, tc_HOL_Obool)), _u2806), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2805, tc_HOL_Obool), _u2807))) )).
% 19.51/19.75 cnf(matrix-1976, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2808, tc_HOL_Obool)), _u2809), _u2810) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2808, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u2808, tc_HOL_Obool)), _u2809), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u2808, tc_HOL_Obool)), _u2810), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u2808, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 19.51/19.75 cnf(matrix-1977, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2811, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u2811, tc_HOL_Obool), tc_HOL_Obool)), _u2812), _u2813)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2811, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2811, tc_HOL_Obool), _u2812)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2811, tc_HOL_Obool), _u2813))) )).
% 19.51/19.75 cnf(matrix-1978, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2819, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2819, tc_HOL_Obool), _u2821)), _u2823) != c_Orderings_Obot__class_Obot(tc_fun(_u2819, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u2819, tc_HOL_Obool)), _u2814), _u2821)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2819, tc_HOL_Obool)), _u2814), _u2823) = c_Orderings_Obot__class_Obot(tc_fun(_u2819, tc_HOL_Obool))) )).
% 19.51/19.75 cnf(matrix-1979, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2820, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2820, tc_HOL_Obool), _u2822)), _u2824) = c_Orderings_Obot__class_Obot(tc_fun(_u2820, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u2820, tc_HOL_Obool)), skolem39(_u2824, _u2822, _u2820)), _u2822)) )).
% 19.51/19.75 cnf(matrix-1980, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2820, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2820, tc_HOL_Obool), _u2822)), _u2824) = c_Orderings_Obot__class_Obot(tc_fun(_u2820, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2820, tc_HOL_Obool)), skolem39(_u2824, _u2822, _u2820)), _u2824) != c_Orderings_Obot__class_Obot(tc_fun(_u2820, tc_HOL_Obool))) )).
% 19.51/19.75 cnf(matrix-1981, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2825, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2825, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u2825, tc_HOL_Obool), tc_HOL_Obool)), _u2826), _u2827))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2825, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2825, tc_HOL_Obool), _u2826)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2825, tc_HOL_Obool), _u2827)))) )).
% 19.51/19.75 cnf(matrix-1982, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2830) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2830), c_Complete__Lattice_OSup__class_OSup(_u2830, _u2831)), _u2832)) | ~hBOOL(hAPP(hAPP(c_member(_u2830), _u2828), _u2831)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2830), _u2828), _u2832)) )).
% 19.51/19.75 cnf(matrix-1983, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2830) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2830), c_Complete__Lattice_OSup__class_OSup(_u2830, _u2831)), _u2832)) | hBOOL(hAPP(hAPP(c_member(_u2830), skolem40(_u2832, _u2831, _u2830)), _u2831)) )).
% 19.51/19.75 cnf(matrix-1984, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2830) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2830), c_Complete__Lattice_OSup__class_OSup(_u2830, _u2831)), _u2832)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2830), skolem40(_u2832, _u2831, _u2830)), _u2832)) )).
% 19.51/19.75 cnf(matrix-1985, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2833), _u2834)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2835), _u2834)), _u2836)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u2833), _u2835)), _u2834)), _u2836)) )).
% 19.51/19.76 cnf(matrix-1986, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2839) | ~class_Orderings_Olinorder(_u2839) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2839), _u2840), c_Complete__Lattice_OSup__class_OSup(_u2839, _u2841))) | hBOOL(hAPP(hAPP(c_member(_u2839), skolem41(_u2841, _u2840, _u2839)), _u2841)) )).
% 19.51/19.76 cnf(matrix-1987, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2839) | ~class_Orderings_Olinorder(_u2839) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2839), _u2840), c_Complete__Lattice_OSup__class_OSup(_u2839, _u2841))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2839), _u2840), skolem41(_u2841, _u2840, _u2839))) )).
% 19.51/19.76 cnf(matrix-1988, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2839) | ~class_Orderings_Olinorder(_u2839) | ~hBOOL(hAPP(hAPP(c_member(_u2839), _u2838), _u2841)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2839), _u2840), _u2838)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2839), _u2840), c_Complete__Lattice_OSup__class_OSup(_u2839, _u2841))) )).
% 19.51/19.76 cnf(matrix-1989, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2842) | ~hBOOL(hAPP(hAPP(c_member(_u2842), _u2843), _u2844)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2842), _u2843), c_Complete__Lattice_OSup__class_OSup(_u2842, _u2844))) )).
% 19.51/19.76 cnf(matrix-1990, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2845) | ( c_Complete__Lattice_OSup__class_OSup(_u2845, c_Orderings_Obot__class_Obot(tc_fun(_u2845, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u2845)) )).
% 19.51/19.76 cnf(matrix-1991, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2846) | ( c_Complete__Lattice_OSup__class_OSup(_u2846, hAPP(hAPP(c_Set_Oinsert(_u2846), _u2847), c_Orderings_Obot__class_Obot(tc_fun(_u2846, tc_HOL_Obool)))) = _u2847) )).
% 19.51/19.76 cnf(matrix-1992, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2848) | ( c_Complete__Lattice_OSup__class_OSup(_u2848, hAPP(hAPP(c_Set_Oinsert(_u2848), _u2849), _u2850)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2848), _u2849), c_Complete__Lattice_OSup__class_OSup(_u2848, _u2850))) )).
% 19.51/19.76 cnf(matrix-1993, plain, ( ~c_Big__Operators_Ocomm__monoid__big(_u2851, _u2852, _u2853, _u2854, _u2855) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2852), _u2856)) | ( hAPP(hAPP(_u2855, _u2857), _u2856) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2851, _u2852, _u2853), _u2857), _u2854), _u2856)) )).
% 19.51/19.76 cnf(matrix-1994, plain, ( ~c_Big__Operators_Ocomm__monoid__big(_u2851, _u2852, _u2853, _u2854, _u2855) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2852), _u2856)) | ( hAPP(hAPP(_u2855, _u2857), _u2856) = _u2854) )).
% 19.51/19.76 cnf(matrix-1995, plain, ( ~class_Groups_Ocomm__monoid__mult(_u2859) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2860), _u2861)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2860), _u2862)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2859, _u2860, c_Groups_Otimes__class_Otimes(_u2859)), _u2863), c_Groups_Oone__class_Oone(_u2859)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2860, tc_HOL_Obool)), _u2861), _u2862)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2859), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2859, _u2860, c_Groups_Otimes__class_Otimes(_u2859)), _u2863), c_Groups_Oone__class_Oone(_u2859)), _u2861)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2859, _u2860, c_Groups_Otimes__class_Otimes(_u2859)), _u2863), c_Groups_Oone__class_Oone(_u2859)), _u2862))) | hBOOL(hAPP(hAPP(c_member(_u2860), skolem42(_u2863, _u2862, _u2861, _u2860, _u2859)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2860, tc_HOL_Obool)), _u2861), _u2862))) )).
% 19.51/19.76 cnf(matrix-1996, plain, ( ~class_Groups_Ocomm__monoid__mult(_u2859) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2860), _u2861)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2860), _u2862)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2859, _u2860, c_Groups_Otimes__class_Otimes(_u2859)), _u2863), c_Groups_Oone__class_Oone(_u2859)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2860, tc_HOL_Obool)), _u2861), _u2862)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2859), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2859, _u2860, c_Groups_Otimes__class_Otimes(_u2859)), _u2863), c_Groups_Oone__class_Oone(_u2859)), _u2861)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2859, _u2860, c_Groups_Otimes__class_Otimes(_u2859)), _u2863), c_Groups_Oone__class_Oone(_u2859)), _u2862))) | ( hAPP(_u2863, skolem42(_u2863, _u2862, _u2861, _u2860, _u2859)) != c_Groups_Oone__class_Oone(_u2859)) )).
% 19.51/19.76 cnf(matrix-1997, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2865, tc_HOL_Obool)), _u2866)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2865), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2865, tc_HOL_Obool), _u2866))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u2865, tc_HOL_Obool)), skolem43(_u2866, _u2865)), _u2866)) )).
% 19.51/19.76 cnf(matrix-1998, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2865, tc_HOL_Obool)), _u2866)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2865), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2865, tc_HOL_Obool), _u2866))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2865), skolem43(_u2866, _u2865))) )).
% 19.51/19.76 cnf(matrix-1999, plain, ( ~c_Finite__Set_Ofolding__image__simple(_u2868, _u2869, _u2870, _u2871, _u2872, _u2873) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2869), _u2874)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2869), _u2875)) | ( hAPP(_u2873, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2869, tc_HOL_Obool)), _u2874), _u2875)) = hAPP(hAPP(_u2870, hAPP(_u2873, _u2874)), hAPP(_u2873, _u2875))) | hBOOL(hAPP(hAPP(c_member(_u2869), skolem44(_u2875, _u2874, _u2873, _u2872, _u2871, _u2870, _u2869)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2869, tc_HOL_Obool)), _u2874), _u2875))) )).
% 19.51/19.76 cnf(matrix-2000, plain, ( ~c_Finite__Set_Ofolding__image__simple(_u2868, _u2869, _u2870, _u2871, _u2872, _u2873) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2869), _u2874)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2869), _u2875)) | ( hAPP(_u2873, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2869, tc_HOL_Obool)), _u2874), _u2875)) = hAPP(hAPP(_u2870, hAPP(_u2873, _u2874)), hAPP(_u2873, _u2875))) | ( hAPP(_u2872, skolem44(_u2875, _u2874, _u2873, _u2872, _u2871, _u2870, _u2869)) != _u2871) )).
% 19.51/19.76 cnf(matrix-2001, plain, ( ~c_Finite__Set_Ofun__left__comm(_u2877, _u2878, _u2879) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2877, _u2878, _u2879, _u2880, hAPP(hAPP(c_Set_Oinsert(_u2877), _u2881), _u2882)), _u2883)) | hBOOL(hAPP(hAPP(c_member(_u2877), _u2881), _u2882)) | ( _u2883 = hAPP(hAPP(_u2879, _u2881), skolem45(_u2883, _u2882, _u2881, _u2880, _u2879, _u2878, _u2877))) )).
% 19.51/19.76 cnf(matrix-2002, plain, ( ~c_Finite__Set_Ofun__left__comm(_u2877, _u2878, _u2879) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2877, _u2878, _u2879, _u2880, hAPP(hAPP(c_Set_Oinsert(_u2877), _u2881), _u2882)), _u2883)) | hBOOL(hAPP(hAPP(c_member(_u2877), _u2881), _u2882)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u2877, _u2878, _u2879, _u2880, _u2882), skolem45(_u2883, _u2882, _u2881, _u2880, _u2879, _u2878, _u2877))) )).
% 19.51/19.76 cnf(matrix-2003, plain, ( ~class_Groups_Oab__group__add(_u2884) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2885), _u2886)) | ~hBOOL(hAPP(hAPP(c_member(_u2885), _u2887), _u2886)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2885, _u2884), _u2888), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2885, tc_HOL_Obool)), _u2886), hAPP(hAPP(c_Set_Oinsert(_u2885), _u2887), c_Orderings_Obot__class_Obot(tc_fun(_u2885, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2884), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2885, _u2884), _u2888), _u2886)), hAPP(_u2888, _u2887))) )).
% 19.51/19.76 cnf(matrix-2004, plain, ( ~class_Groups_Oab__group__add(_u2884) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2885), _u2886)) | hBOOL(hAPP(hAPP(c_member(_u2885), _u2887), _u2886)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2885, _u2884), _u2888), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2885, tc_HOL_Obool)), _u2886), hAPP(hAPP(c_Set_Oinsert(_u2885), _u2887), c_Orderings_Obot__class_Obot(tc_fun(_u2885, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2885, _u2884), _u2888), _u2886)) )).
% 19.51/19.76 cnf(matrix-2005, plain, ( ~class_Rings_Oring(_u2889) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2890), _u2891)) | ~hBOOL(hAPP(hAPP(c_member(_u2890), _u2892), _u2891)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2890, _u2889), _u2893), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2890, tc_HOL_Obool)), _u2891), hAPP(hAPP(c_Set_Oinsert(_u2890), _u2892), c_Orderings_Obot__class_Obot(tc_fun(_u2890, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2889), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2890, _u2889), _u2893), _u2891)), hAPP(_u2893, _u2892))) )).
% 19.51/19.76 cnf(matrix-2006, plain, ( ~class_Groups_Ocomm__monoid__add(_u2894) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2895), _u2896)) | ~hBOOL(hAPP(hAPP(c_member(_u2895), _u2897), _u2896)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2895, _u2894), _u2898), _u2896) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2894), hAPP(_u2898, _u2897)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2895, _u2894), _u2898), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2895, tc_HOL_Obool)), _u2896), hAPP(hAPP(c_Set_Oinsert(_u2895), _u2897), c_Orderings_Obot__class_Obot(tc_fun(_u2895, tc_HOL_Obool))))))) )).
% 19.51/19.76 cnf(matrix-2007, plain, ( ~class_Groups_Ocomm__monoid__add(_u2899) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2900), _u2901)) | ~hBOOL(hAPP(hAPP(c_member(_u2900), _u2902), _u2901)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2900, _u2899), _u2903), _u2901) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2899), hAPP(_u2903, _u2902)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2900, _u2899), _u2903), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2900, tc_HOL_Obool)), _u2901), hAPP(hAPP(c_Set_Oinsert(_u2900), _u2902), c_Orderings_Obot__class_Obot(tc_fun(_u2900, tc_HOL_Obool))))))) )).
% 19.51/19.76 cnf(matrix-2008, plain, ( ~class_Groups_Ocomm__monoid__add(_u2904) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2905), _u2906)) | hBOOL(hAPP(hAPP(c_member(_u2905), _u2907), _u2906)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2905, _u2904), _u2908), hAPP(hAPP(c_Set_Oinsert(_u2905), _u2907), _u2906)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2904), hAPP(_u2908, _u2907)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2905, _u2904), _u2908), _u2906))) )).
% 19.51/19.76 cnf(matrix-2009, plain, ( ~class_Groups_Ocomm__monoid__add(_u2909) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2910), _u2911)) | hBOOL(hAPP(hAPP(c_member(_u2910), _u2912), _u2911)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2910, _u2909), _u2913), hAPP(hAPP(c_Set_Oinsert(_u2910), _u2912), _u2911)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2909), hAPP(_u2913, _u2912)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2910, _u2909), _u2913), _u2911))) )).
% 19.51/19.76 cnf(matrix-2010, plain, ( ~class_Groups_Ocomm__monoid__add(_u2914) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2915), _u2916)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2915), _u2917)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2914), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2915, _u2914), _u2918), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2915, tc_HOL_Obool)), _u2916), _u2917))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2915, _u2914), _u2918), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2915, tc_HOL_Obool)), _u2916), _u2917))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2914), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2915, _u2914), _u2918), _u2916)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2915, _u2914), _u2918), _u2917))) )).
% 19.51/19.76 cnf(matrix-2011, plain, ( ~class_Groups_Oab__group__add(_u2919) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2920), _u2921)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2920, tc_HOL_Obool)), _u2922), _u2921)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2920, _u2919), _u2923), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2920, tc_HOL_Obool)), _u2921), _u2922)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2919), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2920, _u2919), _u2923), _u2921)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2920, _u2919), _u2923), _u2922))) )).
% 19.51/19.76 cnf(matrix-2012, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2924), _u2925)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2924, tc_HOL_Obool)), _u2925), _u2926)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2924, tc_Nat_Onat), _u2927), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2924, tc_HOL_Obool)), _u2926), _u2925)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2924, tc_Nat_Onat), _u2927), _u2926)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2924, tc_Nat_Onat), _u2927), _u2925))) )).
% 19.51/19.76 cnf(matrix-2013, plain, ( ~class_Groups_Ocomm__monoid__add(_u2928) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2929), _u2930)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2929, _u2928), _u2931), hAPP(hAPP(c_Set_Oinsert(_u2929), _u2932), _u2930)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2928), hAPP(_u2931, _u2932)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2929, _u2928), _u2931), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2929, tc_HOL_Obool)), _u2930), hAPP(hAPP(c_Set_Oinsert(_u2929), _u2932), c_Orderings_Obot__class_Obot(tc_fun(_u2929, tc_HOL_Obool))))))) )).
% 19.51/19.76 cnf(matrix-2014, plain, ( ~class_Groups_Ocomm__monoid__add(_u2933) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2934), _u2935)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2934), _u2936)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2934, tc_HOL_Obool)), _u2935), _u2936) != c_Orderings_Obot__class_Obot(tc_fun(_u2934, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2934, _u2933), _u2937), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2934, tc_HOL_Obool)), _u2935), _u2936)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2933), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2934, _u2933), _u2937), _u2935)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2934, _u2933), _u2937), _u2936))) )).
% 19.51/19.76 cnf(matrix-2015, plain, ( ~class_Groups_Oab__group__add(_u2938) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2939), _u2940)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2939), _u2941)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2939, _u2938), _u2942), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2939, tc_HOL_Obool)), _u2940), _u2941)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2938), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2938), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2939, _u2938), _u2942), _u2940)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2939, _u2938), _u2942), _u2941))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2939, _u2938), _u2942), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2939, tc_HOL_Obool)), _u2940), _u2941)))) )).
% 19.51/19.76 cnf(matrix-2016, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2947), _u2949), _u2951)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2947, tc_Nat_Onat), _u2953), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2947, tc_HOL_Obool)), _u2951), hAPP(hAPP(c_Set_Oinsert(_u2947), _u2949), c_Orderings_Obot__class_Obot(tc_fun(_u2947, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2947, tc_Nat_Onat), _u2953), _u2951)), hAPP(_u2953, _u2949))) )).
% 19.51/19.76 cnf(matrix-2017, plain, ( hBOOL(hAPP(hAPP(c_member(_u2948), _u2950), _u2952)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2948, tc_Nat_Onat), _u2954), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2948, tc_HOL_Obool)), _u2952), hAPP(hAPP(c_Set_Oinsert(_u2948), _u2950), c_Orderings_Obot__class_Obot(tc_fun(_u2948, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2948, tc_Nat_Onat), _u2954), _u2952)) )).
% 19.51/19.76 cnf(matrix-2018, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2955), _u2956)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2955), _u2957)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2955, tc_Nat_Onat), _u2958), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2955, tc_HOL_Obool)), _u2956), _u2957)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2955, tc_Nat_Onat), _u2958), _u2956)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2955, tc_Nat_Onat), _u2958), _u2957))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2955, tc_Nat_Onat), _u2958), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2955, tc_HOL_Obool)), _u2956), _u2957)))) )).
% 19.51/19.76 cnf(matrix-2019, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u2960), _u2964)) | ( hAPP(hAPP(_u2963, _u2965), _u2964) = _u2962) | ~c_Big__Operators_Ocomm__monoid__big(_u2959, _u2960, _u2961, _u2962, _u2963) )).
% 19.51/19.76 cnf(matrix-2020, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u2968, tc_HOL_Obool)), _u2969), _u2970)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2968, tc_HOL_Obool)), _u2969), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2968, tc_HOL_Obool), _u2970)) = c_Orderings_Obot__class_Obot(tc_fun(_u2968, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u2968, tc_HOL_Obool)), skolem46(_u2970, _u2969, _u2968)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u2968, tc_HOL_Obool)), _u2969), _u2970))) )).
% 19.51/19.76 cnf(matrix-2021, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u2968, tc_HOL_Obool)), _u2969), _u2970)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2968, tc_HOL_Obool)), _u2969), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2968, tc_HOL_Obool), _u2970)) = c_Orderings_Obot__class_Obot(tc_fun(_u2968, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u2968, tc_HOL_Obool)), skolem47(_u2970, _u2969, _u2968)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u2968, tc_HOL_Obool)), _u2969), _u2970))) )).
% 19.51/19.76 cnf(matrix-2022, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u2968, tc_HOL_Obool)), _u2969), _u2970)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2968, tc_HOL_Obool)), _u2969), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2968, tc_HOL_Obool), _u2970)) = c_Orderings_Obot__class_Obot(tc_fun(_u2968, tc_HOL_Obool))) | ( skolem46(_u2970, _u2969, _u2968) != skolem47(_u2970, _u2969, _u2968)) )).
% 19.51/19.76 cnf(matrix-2023, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u2968, tc_HOL_Obool)), _u2969), _u2970)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2968, tc_HOL_Obool)), _u2969), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2968, tc_HOL_Obool), _u2970)) = c_Orderings_Obot__class_Obot(tc_fun(_u2968, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2968, tc_HOL_Obool)), skolem46(_u2970, _u2969, _u2968)), skolem47(_u2970, _u2969, _u2968)) != c_Orderings_Obot__class_Obot(tc_fun(_u2968, tc_HOL_Obool))) )).
% 19.51/19.76 cnf(matrix-2024, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2971, tc_HOL_Obool)), _u2972), _u2973)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u2971, tc_HOL_Obool), tc_HOL_Obool)), c_Predicate_OPowp(_u2971, _u2972)), c_Predicate_OPowp(_u2971, _u2973))) )).
% 19.51/19.76 cnf(matrix-2025, plain, ( ~class_Groups_Ocomm__monoid__add(_u2975) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2975) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2976), _u2977)) | ( _u2977 = c_Orderings_Obot__class_Obot(tc_fun(_u2976, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2975), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2976, _u2975), _u2978), _u2977)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2976, _u2975), _u2979), _u2977))) | hBOOL(hAPP(hAPP(c_member(_u2976), skolem48(_u2979, _u2978, _u2977, _u2976, _u2975)), _u2977)) )).
% 19.51/19.76 cnf(matrix-2026, plain, ( ~class_Groups_Ocomm__monoid__add(_u2975) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2975) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2976), _u2977)) | ( _u2977 = c_Orderings_Obot__class_Obot(tc_fun(_u2976, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2975), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2976, _u2975), _u2978), _u2977)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2976, _u2975), _u2979), _u2977))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2975), hAPP(_u2978, skolem48(_u2979, _u2978, _u2977, _u2976, _u2975))), hAPP(_u2979, skolem48(_u2979, _u2978, _u2977, _u2976, _u2975)))) )).
% 19.51/19.76 cnf(matrix-2027, plain, ( ~class_Groups_Ocomm__monoid__mult(_u2980) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2981), _u2982)) | ~hBOOL(hAPP(hAPP(c_member(_u2981), _u2983), _u2982)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2981, _u2980), _u2984), _u2982) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2980), hAPP(_u2984, _u2983)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u2981, _u2980), _u2984), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2981, tc_HOL_Obool)), _u2982), hAPP(hAPP(c_Set_Oinsert(_u2981), _u2983), c_Orderings_Obot__class_Obot(tc_fun(_u2981, tc_HOL_Obool))))))) )).
% 19.51/19.76 cnf(matrix-2028, plain, ( ~class_Rings_Olinordered__semiring__1__strict(_u2985) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2985), _u2986), _u2987)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2985), _u2988), _u2987)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2985), c_Groups_Ozero__class_Ozero(_u2985)), _u2989)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2985), c_Groups_Ozero__class_Ozero(_u2985)), _u2990)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2985), _u2989), _u2990) != c_Groups_Oone__class_Oone(_u2985)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2985), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u2985), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2985), _u2989), _u2986)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2985), _u2990), _u2988))), _u2987)) )).
% 19.51/19.76 cnf(matrix-2029, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2994, tc_HOL_Obool)), _u2995)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2994), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2994, tc_HOL_Obool), _u2995))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u2994, tc_HOL_Obool)), skolem49(_u2996, _u2995, _u2994)), _u2995)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2996), hAPP(c_Finite__Set_Ocard(tc_fun(_u2994, tc_HOL_Obool)), _u2995)) = hAPP(c_Finite__Set_Ocard(_u2994), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2994, tc_HOL_Obool), _u2995))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u2994, tc_HOL_Obool)), skolem50(_u2996, _u2995, _u2994)), _u2995)) )).
% 19.51/19.76 cnf(matrix-2030, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2994, tc_HOL_Obool)), _u2995)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2994), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2994, tc_HOL_Obool), _u2995))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u2994, tc_HOL_Obool)), skolem49(_u2996, _u2995, _u2994)), _u2995)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2996), hAPP(c_Finite__Set_Ocard(tc_fun(_u2994, tc_HOL_Obool)), _u2995)) = hAPP(c_Finite__Set_Ocard(_u2994), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2994, tc_HOL_Obool), _u2995))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u2994, tc_HOL_Obool)), skolem51(_u2996, _u2995, _u2994)), _u2995)) )).
% 19.51/19.76 cnf(matrix-2031, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2994, tc_HOL_Obool)), _u2995)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2994), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2994, tc_HOL_Obool), _u2995))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u2994, tc_HOL_Obool)), skolem49(_u2996, _u2995, _u2994)), _u2995)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2996), hAPP(c_Finite__Set_Ocard(tc_fun(_u2994, tc_HOL_Obool)), _u2995)) = hAPP(c_Finite__Set_Ocard(_u2994), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2994, tc_HOL_Obool), _u2995))) | ( skolem50(_u2996, _u2995, _u2994) != skolem51(_u2996, _u2995, _u2994)) )).
% 19.51/19.76 cnf(matrix-2032, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2994, tc_HOL_Obool)), _u2995)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2994), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2994, tc_HOL_Obool), _u2995))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u2994, tc_HOL_Obool)), skolem49(_u2996, _u2995, _u2994)), _u2995)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2996), hAPP(c_Finite__Set_Ocard(tc_fun(_u2994, tc_HOL_Obool)), _u2995)) = hAPP(c_Finite__Set_Ocard(_u2994), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2994, tc_HOL_Obool), _u2995))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2994, tc_HOL_Obool)), skolem50(_u2996, _u2995, _u2994)), skolem51(_u2996, _u2995, _u2994)) != c_Orderings_Obot__class_Obot(tc_fun(_u2994, tc_HOL_Obool))) )).
% 19.51/19.76 cnf(matrix-2033, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2994, tc_HOL_Obool)), _u2995)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2994), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2994, tc_HOL_Obool), _u2995))) | ( hAPP(c_Finite__Set_Ocard(_u2994), skolem49(_u2996, _u2995, _u2994)) != _u2996) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2996), hAPP(c_Finite__Set_Ocard(tc_fun(_u2994, tc_HOL_Obool)), _u2995)) = hAPP(c_Finite__Set_Ocard(_u2994), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2994, tc_HOL_Obool), _u2995))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u2994, tc_HOL_Obool)), skolem50(_u2996, _u2995, _u2994)), _u2995)) )).
% 19.51/19.76 cnf(matrix-2034, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2994, tc_HOL_Obool)), _u2995)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2994), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2994, tc_HOL_Obool), _u2995))) | ( hAPP(c_Finite__Set_Ocard(_u2994), skolem49(_u2996, _u2995, _u2994)) != _u2996) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2996), hAPP(c_Finite__Set_Ocard(tc_fun(_u2994, tc_HOL_Obool)), _u2995)) = hAPP(c_Finite__Set_Ocard(_u2994), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2994, tc_HOL_Obool), _u2995))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u2994, tc_HOL_Obool)), skolem51(_u2996, _u2995, _u2994)), _u2995)) )).
% 19.51/19.76 cnf(matrix-2035, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2994, tc_HOL_Obool)), _u2995)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2994), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2994, tc_HOL_Obool), _u2995))) | ( hAPP(c_Finite__Set_Ocard(_u2994), skolem49(_u2996, _u2995, _u2994)) != _u2996) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2996), hAPP(c_Finite__Set_Ocard(tc_fun(_u2994, tc_HOL_Obool)), _u2995)) = hAPP(c_Finite__Set_Ocard(_u2994), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2994, tc_HOL_Obool), _u2995))) | ( skolem50(_u2996, _u2995, _u2994) != skolem51(_u2996, _u2995, _u2994)) )).
% 19.51/19.76 cnf(matrix-2036, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2994, tc_HOL_Obool)), _u2995)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2994), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2994, tc_HOL_Obool), _u2995))) | ( hAPP(c_Finite__Set_Ocard(_u2994), skolem49(_u2996, _u2995, _u2994)) != _u2996) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2996), hAPP(c_Finite__Set_Ocard(tc_fun(_u2994, tc_HOL_Obool)), _u2995)) = hAPP(c_Finite__Set_Ocard(_u2994), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u2994, tc_HOL_Obool), _u2995))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2994, tc_HOL_Obool)), skolem50(_u2996, _u2995, _u2994)), skolem51(_u2996, _u2995, _u2994)) != c_Orderings_Obot__class_Obot(tc_fun(_u2994, tc_HOL_Obool))) )).
% 19.51/19.76 cnf(matrix-2037, plain, ( ~class_Groups_Ocomm__monoid__mult(_u2998) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2999), _u3000)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2998, _u2999, c_Groups_Otimes__class_Otimes(_u2998)), _u3001), c_Groups_Oone__class_Oone(_u2998)), _u3000) = c_Groups_Oone__class_Oone(_u2998)) | hBOOL(hAPP(hAPP(c_member(_u2999), skolem52(_u3001, _u3000, _u2999, _u2998)), _u3000)) )).
% 19.51/19.76 cnf(matrix-2038, plain, ( ~class_Groups_Ocomm__monoid__mult(_u2998) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2999), _u3000)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u2998, _u2999, c_Groups_Otimes__class_Otimes(_u2998)), _u3001), c_Groups_Oone__class_Oone(_u2998)), _u3000) = c_Groups_Oone__class_Oone(_u2998)) | ( hAPP(_u3001, skolem52(_u3001, _u3000, _u2999, _u2998)) != c_Groups_Oone__class_Oone(_u2998)) )).
% 19.51/19.76 cnf(matrix-2039, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3002), _u3003)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3004), _u3005)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u3002, _u3004)), c_Sum__Type_OPlus(_u3002, _u3004, _u3003, _u3005)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3002), _u3003)), hAPP(c_Finite__Set_Ocard(_u3004), _u3005))) )).
% 19.51/19.76 cnf(matrix-2040, plain, ( ~class_Groups_Oab__semigroup__mult(_u3007) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3008), _u3009)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3007, _u3008, c_Groups_Otimes__class_Otimes(_u3007)), _u3010), _u3012), _u3009) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3007, _u3008, c_Groups_Otimes__class_Otimes(_u3007)), _u3011), _u3012), _u3009)) | hBOOL(hAPP(hAPP(c_member(_u3008), skolem53(_u3012, _u3011, _u3010, _u3009, _u3008, _u3007)), _u3009)) )).
% 19.51/19.76 cnf(matrix-2041, plain, ( ~class_Groups_Oab__semigroup__mult(_u3007) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3008), _u3009)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3007, _u3008, c_Groups_Otimes__class_Otimes(_u3007)), _u3010), _u3012), _u3009) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3007, _u3008, c_Groups_Otimes__class_Otimes(_u3007)), _u3011), _u3012), _u3009)) | ( hAPP(_u3010, skolem53(_u3012, _u3011, _u3010, _u3009, _u3008, _u3007)) != hAPP(_u3011, skolem53(_u3012, _u3011, _u3010, _u3009, _u3008, _u3007))) )).
% 19.51/19.76 cnf(matrix-2042, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3013), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.76 cnf(matrix-2043, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3014)) )).
% 19.51/19.76 cnf(matrix-2044, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Nat_OSuc, _u3015))) )).
% 19.51/19.76 cnf(matrix-2045, plain, ( ~class_Groups_Ozero(_u3016) | ( c_Groups_Ozero__class_Ozero(_u3016) != _u3017) | ( _u3017 = c_Groups_Ozero__class_Ozero(_u3016)) )).
% 19.51/19.76 cnf(matrix-2046, plain, ( ~class_Groups_Ozero(_u3016) | ( _u3017 != c_Groups_Ozero__class_Ozero(_u3016)) | ( c_Groups_Ozero__class_Ozero(_u3016) = _u3017) )).
% 19.51/19.76 cnf(matrix-2047, plain, ( ~class_Rings_Ocomm__semiring__1(_u3020) | ~class_Rings_Ono__zero__divisors(_u3020) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3021), _u3022)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3021, _u3020), _u3023), _u3022) != c_Groups_Ozero__class_Ozero(_u3020)) | hBOOL(hAPP(hAPP(c_member(_u3021), skolem54(_u3023, _u3022, _u3021, _u3020)), _u3022)) )).
% 19.51/19.76 cnf(matrix-2048, plain, ( ~class_Rings_Ocomm__semiring__1(_u3020) | ~class_Rings_Ono__zero__divisors(_u3020) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3021), _u3022)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3021, _u3020), _u3023), _u3022) != c_Groups_Ozero__class_Ozero(_u3020)) | ( hAPP(_u3023, skolem54(_u3023, _u3022, _u3021, _u3020)) = c_Groups_Ozero__class_Ozero(_u3020)) )).
% 19.51/19.76 cnf(matrix-2049, plain, ( ~class_Rings_Ocomm__semiring__1(_u3020) | ~class_Rings_Ono__zero__divisors(_u3020) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3021), _u3022)) | ~hBOOL(hAPP(hAPP(c_member(_u3021), _u3019), _u3022)) | ( hAPP(_u3023, _u3019) != c_Groups_Ozero__class_Ozero(_u3020)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3021, _u3020), _u3023), _u3022) = c_Groups_Ozero__class_Ozero(_u3020)) )).
% 19.51/19.76 cnf(matrix-2050, plain, ( ~class_Rings_Ocomm__semiring__1(_u3025) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3026), _u3027)) | ~hBOOL(hAPP(hAPP(c_member(_u3026), _u3024), _u3027)) | ( hAPP(_u3028, _u3024) != c_Groups_Ozero__class_Ozero(_u3025)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3026, _u3025), _u3028), _u3027) = c_Groups_Ozero__class_Ozero(_u3025)) )).
% 19.51/19.76 cnf(matrix-2051, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3031), _u3032)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3031, tc_Nat_Onat), _u3033), _u3032))) | ~hBOOL(hAPP(hAPP(c_member(_u3031), _u3029), _u3032)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u3033, _u3029))) )).
% 19.51/19.76 cnf(matrix-2052, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3031), _u3032)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3031, tc_Nat_Onat), _u3033), _u3032))) | hBOOL(hAPP(hAPP(c_member(_u3031), skolem55(_u3033, _u3032, _u3031)), _u3032)) )).
% 19.51/19.76 cnf(matrix-2053, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3031), _u3032)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3031, tc_Nat_Onat), _u3033), _u3032))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u3033, skolem55(_u3033, _u3032, _u3031)))) )).
% 19.51/19.76 cnf(matrix-2054, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u3034) | ( _u3035 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3034), _u3035), _u3036)) | ( _u3036 = c_Groups_Ozero__class_Ozero(_u3034)) )).
% 19.51/19.76 cnf(matrix-2055, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u3034) | ( _u3036 != c_Groups_Ozero__class_Ozero(_u3034)) | ( _u3035 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3034), _u3035), _u3036)) )).
% 19.51/19.76 cnf(matrix-2056, plain, ( ~class_Rings_Ocomm__semiring__1(_u3037) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3037), _u3038), c_Groups_Ozero__class_Ozero(_u3037)) = _u3038) )).
% 19.51/19.76 cnf(matrix-2057, plain, ( ~class_Rings_Ocomm__semiring__1(_u3039) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3039), c_Groups_Ozero__class_Ozero(_u3039)), _u3040) = _u3040) )).
% 19.51/19.76 cnf(matrix-2058, plain, ( ~class_Groups_Omonoid__add(_u3041) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3041), c_Groups_Ozero__class_Ozero(_u3041)), _u3042) = _u3042) )).
% 19.51/19.76 cnf(matrix-2059, plain, ( ~class_Groups_Ocomm__monoid__add(_u3043) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3043), c_Groups_Ozero__class_Ozero(_u3043)), _u3044) = _u3044) )).
% 19.51/19.76 cnf(matrix-2060, plain, ( ~class_Groups_Olinordered__ab__group__add(_u3045) | ( c_Groups_Ozero__class_Ozero(_u3045) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3045), _u3046), _u3046)) | ( _u3046 = c_Groups_Ozero__class_Ozero(_u3045)) )).
% 19.51/19.76 cnf(matrix-2061, plain, ( ~class_Groups_Olinordered__ab__group__add(_u3045) | ( _u3046 != c_Groups_Ozero__class_Ozero(_u3045)) | ( c_Groups_Ozero__class_Ozero(_u3045) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3045), _u3046), _u3046)) )).
% 19.51/19.76 cnf(matrix-2062, plain, ( ~class_Groups_Omonoid__add(_u3047) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3047), _u3048), c_Groups_Ozero__class_Ozero(_u3047)) = _u3048) )).
% 19.51/19.76 cnf(matrix-2063, plain, ( ~class_Groups_Ocomm__monoid__add(_u3049) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3049), _u3050), c_Groups_Ozero__class_Ozero(_u3049)) = _u3050) )).
% 19.51/19.76 cnf(matrix-2064, plain, ( ~class_Rings_Ono__zero__divisors(_u3051) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3051), _u3052), _u3053) != c_Groups_Ozero__class_Ozero(_u3051)) | ( _u3052 = c_Groups_Ozero__class_Ozero(_u3051)) | ( _u3053 = c_Groups_Ozero__class_Ozero(_u3051)) )).
% 19.51/19.76 cnf(matrix-2065, plain, ( ~class_Rings_Ono__zero__divisors(_u3054) | ( _u3055 = c_Groups_Ozero__class_Ozero(_u3054)) | ( _u3056 = c_Groups_Ozero__class_Ozero(_u3054)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3054), _u3055), _u3056) != c_Groups_Ozero__class_Ozero(_u3054)) )).
% 19.51/19.76 cnf(matrix-2066, plain, ( ~class_Rings_Oring__no__zero__divisors(_u3057) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3057), _u3058), _u3059) != c_Groups_Ozero__class_Ozero(_u3057)) | ( _u3058 = c_Groups_Ozero__class_Ozero(_u3057)) | ( _u3059 = c_Groups_Ozero__class_Ozero(_u3057)) )).
% 19.51/19.76 cnf(matrix-2067, plain, ( ~class_Rings_Oring__no__zero__divisors(_u3057) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3057), _u3058), _u3059) = c_Groups_Ozero__class_Ozero(_u3057)) | ( _u3058 != c_Groups_Ozero__class_Ozero(_u3057)) )).
% 19.51/19.76 cnf(matrix-2068, plain, ( ~class_Rings_Oring__no__zero__divisors(_u3057) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3057), _u3058), _u3059) = c_Groups_Ozero__class_Ozero(_u3057)) | ( _u3059 != c_Groups_Ozero__class_Ozero(_u3057)) )).
% 19.51/19.76 cnf(matrix-2069, plain, ( ~class_Rings_Ocomm__semiring__1(_u3060) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3060), _u3061), c_Groups_Ozero__class_Ozero(_u3060)) = c_Groups_Ozero__class_Ozero(_u3060)) )).
% 19.51/19.76 cnf(matrix-2070, plain, ( ~class_Rings_Omult__zero(_u3062) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3062), _u3063), c_Groups_Ozero__class_Ozero(_u3062)) = c_Groups_Ozero__class_Ozero(_u3062)) )).
% 19.51/19.76 cnf(matrix-2071, plain, ( ~class_Rings_Ocomm__semiring__1(_u3064) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3064), c_Groups_Ozero__class_Ozero(_u3064)), _u3065) = c_Groups_Ozero__class_Ozero(_u3064)) )).
% 19.51/19.76 cnf(matrix-2072, plain, ( ~class_Rings_Omult__zero(_u3066) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3066), c_Groups_Ozero__class_Ozero(_u3066)), _u3067) = c_Groups_Ozero__class_Ozero(_u3066)) )).
% 19.51/19.76 cnf(matrix-2073, plain, ( ~class_Groups_Ogroup__add(_u3068) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3068), _u3069), _u3070) != c_Groups_Ozero__class_Ozero(_u3068)) | ( _u3069 = _u3070) )).
% 19.51/19.76 cnf(matrix-2074, plain, ( ~class_Groups_Ogroup__add(_u3068) | ( _u3069 != _u3070) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3068), _u3069), _u3070) = c_Groups_Ozero__class_Ozero(_u3068)) )).
% 19.51/19.76 cnf(matrix-2075, plain, ( ~class_Groups_Oab__group__add(_u3071) | ( _u3072 != _u3073) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3071), _u3072), _u3073) = c_Groups_Ozero__class_Ozero(_u3071)) )).
% 19.51/19.76 cnf(matrix-2076, plain, ( ~class_Groups_Oab__group__add(_u3071) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3071), _u3072), _u3073) != c_Groups_Ozero__class_Ozero(_u3071)) | ( _u3072 = _u3073) )).
% 19.51/19.76 cnf(matrix-2077, plain, ( ~class_Groups_Ogroup__add(_u3074) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3074), _u3075), _u3075) = c_Groups_Ozero__class_Ozero(_u3074)) )).
% 19.51/19.76 cnf(matrix-2078, plain, ( ~class_Groups_Ogroup__add(_u3076) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3076), _u3077), c_Groups_Ozero__class_Ozero(_u3076)) = _u3077) )).
% 19.51/19.76 cnf(matrix-2079, plain, ( ~class_Rings_Ozero__neq__one(_u3078) | ( c_Groups_Ozero__class_Ozero(_u3078) != c_Groups_Oone__class_Oone(_u3078)) )).
% 19.51/19.76 cnf(matrix-2080, plain, ( ~class_Rings_Ozero__neq__one(_u3079) | ( c_Groups_Oone__class_Oone(_u3079) != c_Groups_Ozero__class_Ozero(_u3079)) )).
% 19.51/19.76 cnf(matrix-2081, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3082), _u3083)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3082, tc_Nat_Onat), _u3084), _u3083) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u3082), _u3080), _u3083)) | ( hAPP(_u3084, _u3080) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2082, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3082), _u3083)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3082, tc_Nat_Onat), _u3084), _u3083) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u3082), skolem56(_u3084, _u3083, _u3082)), _u3083)) )).
% 19.51/19.76 cnf(matrix-2083, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3082), _u3083)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3082, tc_Nat_Onat), _u3084), _u3083) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(_u3084, skolem56(_u3084, _u3083, _u3082)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2084, plain, ( ( hAPP(c_Nat_OSuc, _u3085) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2085, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u3086)) )).
% 19.51/19.76 cnf(matrix-2086, plain, ( ( hAPP(c_Nat_OSuc, _u3087) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2087, plain, ( ( hAPP(c_Nat_OSuc, _u3088) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2088, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u3089)) )).
% 19.51/19.76 cnf(matrix-2089, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u3090)) )).
% 19.51/19.76 cnf(matrix-2090, plain, ( ( _u3091 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3091)) )).
% 19.51/19.76 cnf(matrix-2091, plain, ( ( _u3093 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3092), _u3093)) )).
% 19.51/19.76 cnf(matrix-2092, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3094), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.76 cnf(matrix-2093, plain, ( ( _u3096 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3096)) )).
% 19.51/19.76 cnf(matrix-2094, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3097)) | ( _u3097 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2095, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3098), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.76 cnf(matrix-2096, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3099) = _u3099) )).
% 19.51/19.76 cnf(matrix-2097, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3100), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u3100) )).
% 19.51/19.76 cnf(matrix-2098, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3103), _u3105) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3103 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2099, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3103), _u3105) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3105 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2100, plain, ( ( _u3104 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3106 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3104), _u3106) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2101, plain, ( ( _u3108 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3107), _u3108) != _u3107) )).
% 19.51/19.76 cnf(matrix-2102, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3110), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3110 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2103, plain, ( ( _u3111 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3111), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.76 cnf(matrix-2104, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3112)) )).
% 19.51/19.76 cnf(matrix-2105, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3113), _u3114) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3114), _u3113) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3113 = _u3114) )).
% 19.51/19.76 cnf(matrix-2106, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3115), _u3115) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2107, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3116), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u3116) )).
% 19.51/19.76 cnf(matrix-2108, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3117) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2109, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3121), _u3123) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3121), _u3125)) | ( _u3121 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3123 = _u3125) )).
% 19.51/19.76 cnf(matrix-2110, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3122), _u3124) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3122), _u3126)) | ( _u3122 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2111, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3122), _u3124) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3122), _u3126)) | ( _u3124 != _u3126) )).
% 19.51/19.76 cnf(matrix-2112, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3130), _u3132) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3134), _u3132)) | ( _u3130 = _u3134) | ( _u3132 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2113, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3131), _u3133) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3135), _u3133)) | ( _u3131 != _u3135) )).
% 19.51/19.76 cnf(matrix-2114, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3131), _u3133) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3135), _u3133)) | ( _u3133 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2115, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3139), _u3141) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3139), _u3143)) | ( _u3141 = _u3143) | ( _u3139 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2116, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3140), _u3142) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3140), _u3144)) | ( _u3142 != _u3144) )).
% 19.51/19.76 cnf(matrix-2117, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3140), _u3142) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3140), _u3144)) | ( _u3140 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2118, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3147), _u3149) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3147 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3149 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2119, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3148), _u3150) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3148 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2120, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3148), _u3150) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3150 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2121, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3151), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2122, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3152) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2123, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3153) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3154, _u3153), _u3155), c_Orderings_Obot__class_Obot(tc_fun(_u3154, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u3153)) )).
% 19.51/19.76 cnf(matrix-2124, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3156) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3157, _u3156), _u3158), c_Orderings_Obot__class_Obot(tc_fun(_u3157, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u3156)) )).
% 19.51/19.76 cnf(matrix-2125, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3159) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3160), _u3161)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3160, _u3159), _u3162), _u3161) = c_Groups_Oone__class_Oone(_u3159)) )).
% 19.51/19.76 cnf(matrix-2126, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3163) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3164), _u3165)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3164, _u3163), _u3166), _u3165) = c_Groups_Oone__class_Oone(_u3163)) )).
% 19.51/19.76 cnf(matrix-2127, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3169), _u3170)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3169, tc_Nat_Onat), _u3171), _u3170) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u3169), _u3167), _u3170)) | ( hAPP(_u3171, _u3167) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2128, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3169), _u3170)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3169, tc_Nat_Onat), _u3171), _u3170) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u3169), skolem57(_u3171, _u3170, _u3169)), _u3170)) )).
% 19.51/19.76 cnf(matrix-2129, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3169), _u3170)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3169, tc_Nat_Onat), _u3171), _u3170) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u3171, skolem57(_u3171, _u3170, _u3169)) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2130, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u3176, _u3178)), c_Sum__Type_OPlus(_u3176, _u3178, _u3180, _u3182))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3176), _u3180)) )).
% 19.51/19.76 cnf(matrix-2131, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u3176, _u3178)), c_Sum__Type_OPlus(_u3176, _u3178, _u3180, _u3182))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3178), _u3182)) )).
% 19.51/19.76 cnf(matrix-2132, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3177), _u3181)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3179), _u3183)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u3177, _u3179)), c_Sum__Type_OPlus(_u3177, _u3179, _u3181, _u3183))) )).
% 19.51/19.76 cnf(matrix-2133, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3184), _u3185)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3186), _u3187)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u3184, _u3186)), c_Sum__Type_OPlus(_u3184, _u3186, _u3185, _u3187))) )).
% 19.51/19.76 cnf(matrix-2134, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u3188, _u3189)), c_Sum__Type_OPlus(_u3188, _u3189, _u3190, _u3191))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3188), _u3190)) )).
% 19.51/19.76 cnf(matrix-2135, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u3193), _u3195)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u3192, _u3193)), c_Sum__Type_OPlus(_u3192, _u3193, _u3194, _u3195))) )).
% 19.51/19.76 cnf(matrix-2136, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3200), _u3202)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3204), _u3206)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u3200, _u3204)), c_Sum__Type_OPlus(_u3200, _u3204, _u3202, _u3206)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3200), _u3202)), hAPP(c_Finite__Set_Ocard(_u3204), _u3206))) )).
% 19.51/19.76 cnf(matrix-2137, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u3201, _u3205)), c_Sum__Type_OPlus(_u3201, _u3205, _u3203, _u3207)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3201), _u3203)) )).
% 19.51/19.76 cnf(matrix-2138, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u3201, _u3205)), c_Sum__Type_OPlus(_u3201, _u3205, _u3203, _u3207)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3205), _u3207)) )).
% 19.51/19.76 cnf(matrix-2139, plain, ( ~class_Groups_Olinordered__ab__group__add(_u3208) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3208), c_Groups_Ozero__class_Ozero(_u3208)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3208), _u3209), _u3209))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3208), c_Groups_Ozero__class_Ozero(_u3208)), _u3209)) )).
% 19.51/19.76 cnf(matrix-2140, plain, ( ~class_Groups_Olinordered__ab__group__add(_u3208) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3208), c_Groups_Ozero__class_Ozero(_u3208)), _u3209)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3208), c_Groups_Ozero__class_Ozero(_u3208)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3208), _u3209), _u3209))) )).
% 19.51/19.76 cnf(matrix-2141, plain, ( ~class_Groups_Olinordered__ab__group__add(_u3210) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3210), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3210), _u3211), _u3211)), c_Groups_Ozero__class_Ozero(_u3210))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3210), _u3211), c_Groups_Ozero__class_Ozero(_u3210))) )).
% 19.51/19.76 cnf(matrix-2142, plain, ( ~class_Groups_Olinordered__ab__group__add(_u3210) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3210), _u3211), c_Groups_Ozero__class_Ozero(_u3210))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3210), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3210), _u3211), _u3211)), c_Groups_Ozero__class_Ozero(_u3210))) )).
% 19.51/19.76 cnf(matrix-2143, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3212) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3212), c_Groups_Ozero__class_Ozero(_u3212)), _u3213)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3212), c_Groups_Ozero__class_Ozero(_u3212)), _u3214)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3212), c_Groups_Ozero__class_Ozero(_u3212)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3212), _u3213), _u3214))) )).
% 19.51/19.76 cnf(matrix-2144, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3215) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3215), c_Groups_Ozero__class_Ozero(_u3215)), _u3216)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3215), c_Groups_Ozero__class_Ozero(_u3215)), _u3217)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3215), _u3216), _u3217) != c_Groups_Ozero__class_Ozero(_u3215)) | ( _u3216 = c_Groups_Ozero__class_Ozero(_u3215)) )).
% 19.51/19.76 cnf(matrix-2145, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3215) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3215), c_Groups_Ozero__class_Ozero(_u3215)), _u3216)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3215), c_Groups_Ozero__class_Ozero(_u3215)), _u3217)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3215), _u3216), _u3217) != c_Groups_Ozero__class_Ozero(_u3215)) | ( _u3217 = c_Groups_Ozero__class_Ozero(_u3215)) )).
% 19.51/19.76 cnf(matrix-2146, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3215) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3215), c_Groups_Ozero__class_Ozero(_u3215)), _u3216)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3215), c_Groups_Ozero__class_Ozero(_u3215)), _u3217)) | ( _u3216 != c_Groups_Ozero__class_Ozero(_u3215)) | ( _u3217 != c_Groups_Ozero__class_Ozero(_u3215)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3215), _u3216), _u3217) = c_Groups_Ozero__class_Ozero(_u3215)) )).
% 19.51/19.76 cnf(matrix-2147, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3218) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3218), c_Groups_Ozero__class_Ozero(_u3218)), _u3219)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3218), _u3220), _u3221)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3218), _u3220), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3218), _u3219), _u3221))) )).
% 19.51/19.76 cnf(matrix-2148, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3222) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3222), c_Groups_Ozero__class_Ozero(_u3222)), _u3223)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3222), _u3224), _u3225)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3222), _u3224), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3222), _u3225), _u3223))) )).
% 19.51/19.76 cnf(matrix-2149, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3226) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3226), _u3227), c_Groups_Ozero__class_Ozero(_u3226))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3226), _u3228), c_Groups_Ozero__class_Ozero(_u3226))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3226), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3226), _u3227), _u3228)), c_Groups_Ozero__class_Ozero(_u3226))) )).
% 19.51/19.76 cnf(matrix-2150, plain, ( ~class_Rings_Oordered__cancel__semiring(_u3229) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3229), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3229), _u3230), _u3231)), c_Groups_Ozero__class_Ozero(_u3229))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3229), c_Groups_Ozero__class_Ozero(_u3229)), _u3230)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3229), _u3231), c_Groups_Ozero__class_Ozero(_u3229))) )).
% 19.51/19.76 cnf(matrix-2151, plain, ( ~class_Rings_Oordered__cancel__semiring(_u3229) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3229), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3229), _u3230), _u3231)), c_Groups_Ozero__class_Ozero(_u3229))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3229), _u3230), c_Groups_Ozero__class_Ozero(_u3229))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3229), c_Groups_Ozero__class_Ozero(_u3229)), _u3231)) )).
% 19.51/19.76 cnf(matrix-2152, plain, ( ~class_Rings_Oordered__ring(_u3232) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3232), c_Groups_Ozero__class_Ozero(_u3232)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3232), _u3233), _u3234))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3232), c_Groups_Ozero__class_Ozero(_u3232)), _u3233)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3232), c_Groups_Ozero__class_Ozero(_u3232)), _u3234)) )).
% 19.51/19.76 cnf(matrix-2153, plain, ( ~class_Rings_Oordered__ring(_u3232) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3232), c_Groups_Ozero__class_Ozero(_u3232)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3232), _u3233), _u3234))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3232), _u3233), c_Groups_Ozero__class_Ozero(_u3232))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3232), _u3234), c_Groups_Ozero__class_Ozero(_u3232))) )).
% 19.51/19.76 cnf(matrix-2154, plain, ( ~class_Rings_Oordered__semiring(_u3235) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3235), _u3236), _u3237)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3235), _u3238), _u3239)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3235), c_Groups_Ozero__class_Ozero(_u3235)), _u3237)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3235), c_Groups_Ozero__class_Ozero(_u3235)), _u3238)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3235), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3235), _u3236), _u3238)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3235), _u3237), _u3239))) )).
% 19.51/19.76 cnf(matrix-2155, plain, ( ~class_Rings_Oordered__semiring(_u3240) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3240), _u3241), _u3242)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3240), _u3243), _u3244)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3240), c_Groups_Ozero__class_Ozero(_u3240)), _u3241)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3240), c_Groups_Ozero__class_Ozero(_u3240)), _u3243)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3240), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3240), _u3241), _u3243)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3240), _u3242), _u3244))) )).
% 19.51/19.76 cnf(matrix-2156, plain, ( ~class_Rings_Oordered__ring(_u3245) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3245), _u3246), _u3247)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3245), _u3248), c_Groups_Ozero__class_Ozero(_u3245))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3245), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3245), _u3248), _u3247)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3245), _u3248), _u3246))) )).
% 19.51/19.76 cnf(matrix-2157, plain, ( ~class_Rings_Oordered__ring(_u3249) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3249), _u3250), _u3251)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3249), _u3252), c_Groups_Ozero__class_Ozero(_u3249))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3249), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3249), _u3251), _u3252)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3249), _u3250), _u3252))) )).
% 19.51/19.76 cnf(matrix-2158, plain, ( ~class_Rings_Oordered__comm__semiring(_u3253) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3253), _u3254), _u3255)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3253), c_Groups_Ozero__class_Ozero(_u3253)), _u3256)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3253), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3253), _u3256), _u3254)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3253), _u3256), _u3255))) )).
% 19.51/19.76 cnf(matrix-2159, plain, ( ~class_Rings_Oordered__semiring(_u3257) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3257), _u3258), _u3259)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3257), c_Groups_Ozero__class_Ozero(_u3257)), _u3260)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3257), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3257), _u3260), _u3258)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3257), _u3260), _u3259))) )).
% 19.51/19.76 cnf(matrix-2160, plain, ( ~class_Rings_Oordered__semiring(_u3261) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3261), _u3262), _u3263)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3261), c_Groups_Ozero__class_Ozero(_u3261)), _u3264)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3261), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3261), _u3262), _u3264)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3261), _u3263), _u3264))) )).
% 19.51/19.76 cnf(matrix-2161, plain, ( ~class_Rings_Oordered__ring(_u3265) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3265), _u3266), c_Groups_Ozero__class_Ozero(_u3265))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3265), _u3267), c_Groups_Ozero__class_Ozero(_u3265))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3265), c_Groups_Ozero__class_Ozero(_u3265)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3265), _u3266), _u3267))) )).
% 19.51/19.76 cnf(matrix-2162, plain, ( ~class_Rings_Oordered__cancel__semiring(_u3268) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3268), _u3269), c_Groups_Ozero__class_Ozero(_u3268))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3268), c_Groups_Ozero__class_Ozero(_u3268)), _u3270)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3268), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3268), _u3269), _u3270)), c_Groups_Ozero__class_Ozero(_u3268))) )).
% 19.51/19.76 cnf(matrix-2163, plain, ( ~class_Rings_Oordered__cancel__semiring(_u3271) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3271), c_Groups_Ozero__class_Ozero(_u3271)), _u3272)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3271), _u3273), c_Groups_Ozero__class_Ozero(_u3271))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3271), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3271), _u3273), _u3272)), c_Groups_Ozero__class_Ozero(_u3271))) )).
% 19.51/19.76 cnf(matrix-2164, plain, ( ~class_Rings_Oordered__cancel__semiring(_u3274) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3274), c_Groups_Ozero__class_Ozero(_u3274)), _u3275)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3274), _u3276), c_Groups_Ozero__class_Ozero(_u3274))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3274), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3274), _u3275), _u3276)), c_Groups_Ozero__class_Ozero(_u3274))) )).
% 19.51/19.76 cnf(matrix-2165, plain, ( ~class_Rings_Oordered__cancel__semiring(_u3277) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3277), c_Groups_Ozero__class_Ozero(_u3277)), _u3278)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3277), c_Groups_Ozero__class_Ozero(_u3277)), _u3279)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3277), c_Groups_Ozero__class_Ozero(_u3277)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3277), _u3278), _u3279))) )).
% 19.51/19.76 cnf(matrix-2166, plain, ( ~class_Rings_Olinordered__ring__strict(_u3280) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3280), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3280), _u3281), _u3282)), c_Groups_Ozero__class_Ozero(_u3280))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3280), c_Groups_Ozero__class_Ozero(_u3280)), _u3281)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3280), _u3281), c_Groups_Ozero__class_Ozero(_u3280))) )).
% 19.51/19.76 cnf(matrix-2167, plain, ( ~class_Rings_Olinordered__ring__strict(_u3280) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3280), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3280), _u3281), _u3282)), c_Groups_Ozero__class_Ozero(_u3280))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3280), c_Groups_Ozero__class_Ozero(_u3280)), _u3281)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3280), c_Groups_Ozero__class_Ozero(_u3280)), _u3282)) )).
% 19.51/19.76 cnf(matrix-2168, plain, ( ~class_Rings_Olinordered__ring__strict(_u3280) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3280), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3280), _u3281), _u3282)), c_Groups_Ozero__class_Ozero(_u3280))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3280), _u3282), c_Groups_Ozero__class_Ozero(_u3280))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3280), _u3281), c_Groups_Ozero__class_Ozero(_u3280))) )).
% 19.51/19.76 cnf(matrix-2169, plain, ( ~class_Rings_Olinordered__ring__strict(_u3280) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3280), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3280), _u3281), _u3282)), c_Groups_Ozero__class_Ozero(_u3280))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3280), _u3282), c_Groups_Ozero__class_Ozero(_u3280))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3280), c_Groups_Ozero__class_Ozero(_u3280)), _u3282)) )).
% 19.51/19.76 cnf(matrix-2170, plain, ( ~class_Rings_Olinordered__ring__strict(_u3280) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3280), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3280), _u3281), _u3282)), c_Groups_Ozero__class_Ozero(_u3280))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3280), c_Groups_Ozero__class_Ozero(_u3280)), _u3281)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3280), _u3282), c_Groups_Ozero__class_Ozero(_u3280))) )).
% 19.51/19.76 cnf(matrix-2171, plain, ( ~class_Rings_Olinordered__ring__strict(_u3280) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3280), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3280), _u3281), _u3282)), c_Groups_Ozero__class_Ozero(_u3280))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3280), _u3281), c_Groups_Ozero__class_Ozero(_u3280))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3280), c_Groups_Ozero__class_Ozero(_u3280)), _u3282)) )).
% 19.51/19.76 cnf(matrix-2172, plain, ( ~class_Rings_Olinordered__ring__strict(_u3283) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3283), c_Groups_Ozero__class_Ozero(_u3283)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3283), _u3284), _u3285))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3283), c_Groups_Ozero__class_Ozero(_u3283)), _u3284)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3283), _u3284), c_Groups_Ozero__class_Ozero(_u3283))) )).
% 19.51/19.76 cnf(matrix-2173, plain, ( ~class_Rings_Olinordered__ring__strict(_u3283) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3283), c_Groups_Ozero__class_Ozero(_u3283)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3283), _u3284), _u3285))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3283), c_Groups_Ozero__class_Ozero(_u3283)), _u3284)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3283), _u3285), c_Groups_Ozero__class_Ozero(_u3283))) )).
% 19.51/19.76 cnf(matrix-2174, plain, ( ~class_Rings_Olinordered__ring__strict(_u3283) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3283), c_Groups_Ozero__class_Ozero(_u3283)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3283), _u3284), _u3285))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3283), c_Groups_Ozero__class_Ozero(_u3283)), _u3285)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3283), _u3284), c_Groups_Ozero__class_Ozero(_u3283))) )).
% 19.51/19.76 cnf(matrix-2175, plain, ( ~class_Rings_Olinordered__ring__strict(_u3283) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3283), c_Groups_Ozero__class_Ozero(_u3283)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3283), _u3284), _u3285))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3283), c_Groups_Ozero__class_Ozero(_u3283)), _u3285)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3283), _u3285), c_Groups_Ozero__class_Ozero(_u3283))) )).
% 19.51/19.76 cnf(matrix-2176, plain, ( ~class_Rings_Olinordered__ring__strict(_u3283) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3283), c_Groups_Ozero__class_Ozero(_u3283)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3283), _u3284), _u3285))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3283), c_Groups_Ozero__class_Ozero(_u3283)), _u3284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3283), c_Groups_Ozero__class_Ozero(_u3283)), _u3285)) )).
% 19.51/19.76 cnf(matrix-2177, plain, ( ~class_Rings_Olinordered__ring__strict(_u3283) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3283), c_Groups_Ozero__class_Ozero(_u3283)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3283), _u3284), _u3285))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3283), _u3284), c_Groups_Ozero__class_Ozero(_u3283))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3283), _u3285), c_Groups_Ozero__class_Ozero(_u3283))) )).
% 19.51/19.76 cnf(matrix-2178, plain, ( ~class_Rings_Olinordered__ring(_u3286) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3286), c_Groups_Ozero__class_Ozero(_u3286)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3286), _u3287), _u3287))) )).
% 19.51/19.76 cnf(matrix-2179, plain, ( ~class_Groups_Olinordered__ab__group__add(_u3288) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3288), c_Groups_Ozero__class_Ozero(_u3288)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3288), _u3289), _u3289))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3288), c_Groups_Ozero__class_Ozero(_u3288)), _u3289)) )).
% 19.51/19.76 cnf(matrix-2180, plain, ( ~class_Groups_Olinordered__ab__group__add(_u3288) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3288), c_Groups_Ozero__class_Ozero(_u3288)), _u3289)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3288), c_Groups_Ozero__class_Ozero(_u3288)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3288), _u3289), _u3289))) )).
% 19.51/19.76 cnf(matrix-2181, plain, ( ~class_Groups_Olinordered__ab__group__add(_u3290) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3290), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3290), _u3291), _u3291)), c_Groups_Ozero__class_Ozero(_u3290))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3290), _u3291), c_Groups_Ozero__class_Ozero(_u3290))) )).
% 19.51/19.76 cnf(matrix-2182, plain, ( ~class_Groups_Olinordered__ab__group__add(_u3290) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3290), _u3291), c_Groups_Ozero__class_Ozero(_u3290))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3290), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3290), _u3291), _u3291)), c_Groups_Ozero__class_Ozero(_u3290))) )).
% 19.51/19.76 cnf(matrix-2183, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3292) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3292), c_Groups_Ozero__class_Ozero(_u3292)), _u3293)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3292), c_Groups_Ozero__class_Ozero(_u3292)), _u3294)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3292), c_Groups_Ozero__class_Ozero(_u3292)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3292), _u3293), _u3294))) )).
% 19.51/19.76 cnf(matrix-2184, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3295) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3295), _u3296), c_Groups_Ozero__class_Ozero(_u3295))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3295), _u3297), c_Groups_Ozero__class_Ozero(_u3295))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3295), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3295), _u3296), _u3297)), c_Groups_Ozero__class_Ozero(_u3295))) )).
% 19.51/19.76 cnf(matrix-2185, plain, ( ~class_Rings_Olinordered__semidom(_u3298) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3298), c_Groups_Ozero__class_Ozero(_u3298)), _u3299)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3298), _u3300), _u3301)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3298), _u3300), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3298), _u3299), _u3301))) )).
% 19.51/19.76 cnf(matrix-2186, plain, ( ~class_Rings_Olinordered__ring(_u3302) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3302), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3302), _u3303), _u3303)), c_Groups_Ozero__class_Ozero(_u3302))) )).
% 19.51/19.76 cnf(matrix-2187, plain, ( ~class_Rings_Olinordered__ring__strict(_u3304) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3304), _u3305), _u3306)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3304), _u3307), _u3306))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), c_Groups_Ozero__class_Ozero(_u3304)), _u3306)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), _u3306), c_Groups_Ozero__class_Ozero(_u3304))) )).
% 19.51/19.76 cnf(matrix-2188, plain, ( ~class_Rings_Olinordered__ring__strict(_u3304) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3304), _u3305), _u3306)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3304), _u3307), _u3306))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), c_Groups_Ozero__class_Ozero(_u3304)), _u3306)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), _u3307), _u3305)) )).
% 19.51/19.76 cnf(matrix-2189, plain, ( ~class_Rings_Olinordered__ring__strict(_u3304) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3304), _u3305), _u3306)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3304), _u3307), _u3306))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), _u3305), _u3307)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), _u3306), c_Groups_Ozero__class_Ozero(_u3304))) )).
% 19.51/19.76 cnf(matrix-2190, plain, ( ~class_Rings_Olinordered__ring__strict(_u3304) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3304), _u3305), _u3306)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3304), _u3307), _u3306))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), _u3305), _u3307)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), _u3307), _u3305)) )).
% 19.51/19.76 cnf(matrix-2191, plain, ( ~class_Rings_Olinordered__ring__strict(_u3304) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3304), _u3305), _u3306)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3304), _u3307), _u3306))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), c_Groups_Ozero__class_Ozero(_u3304)), _u3306)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), _u3305), _u3307)) )).
% 19.51/19.76 cnf(matrix-2192, plain, ( ~class_Rings_Olinordered__ring__strict(_u3304) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3304), _u3305), _u3306)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3304), _u3307), _u3306))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), _u3306), c_Groups_Ozero__class_Ozero(_u3304))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), _u3307), _u3305)) )).
% 19.51/19.76 cnf(matrix-2193, plain, ( ~class_Rings_Olinordered__ring__strict(_u3308) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3308), _u3309), _u3310)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3308), _u3309), _u3311))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), c_Groups_Ozero__class_Ozero(_u3308)), _u3309)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), _u3309), c_Groups_Ozero__class_Ozero(_u3308))) )).
% 19.51/19.76 cnf(matrix-2194, plain, ( ~class_Rings_Olinordered__ring__strict(_u3308) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3308), _u3309), _u3310)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3308), _u3309), _u3311))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), c_Groups_Ozero__class_Ozero(_u3308)), _u3309)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), _u3311), _u3310)) )).
% 19.51/19.76 cnf(matrix-2195, plain, ( ~class_Rings_Olinordered__ring__strict(_u3308) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3308), _u3309), _u3310)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3308), _u3309), _u3311))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), _u3310), _u3311)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), _u3309), c_Groups_Ozero__class_Ozero(_u3308))) )).
% 19.51/19.76 cnf(matrix-2196, plain, ( ~class_Rings_Olinordered__ring__strict(_u3308) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3308), _u3309), _u3310)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3308), _u3309), _u3311))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), _u3310), _u3311)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), _u3311), _u3310)) )).
% 19.51/19.76 cnf(matrix-2197, plain, ( ~class_Rings_Olinordered__ring__strict(_u3308) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3308), _u3309), _u3310)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3308), _u3309), _u3311))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), c_Groups_Ozero__class_Ozero(_u3308)), _u3309)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), _u3310), _u3311)) )).
% 19.51/19.76 cnf(matrix-2198, plain, ( ~class_Rings_Olinordered__ring__strict(_u3308) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3308), _u3309), _u3310)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3308), _u3309), _u3311))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), _u3309), c_Groups_Ozero__class_Ozero(_u3308))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), _u3311), _u3310)) )).
% 19.51/19.76 cnf(matrix-2199, plain, ( ~class_Rings_Olinordered__ring__strict(_u3312) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3312), c_Groups_Ozero__class_Ozero(_u3312)), _u3313)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3312), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3312), _u3313), _u3314)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3312), _u3313), _u3315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3312), _u3314), _u3315)) )).
% 19.51/19.76 cnf(matrix-2200, plain, ( ~class_Rings_Olinordered__ring__strict(_u3312) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3312), c_Groups_Ozero__class_Ozero(_u3312)), _u3313)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3312), _u3314), _u3315)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3312), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3312), _u3313), _u3314)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3312), _u3313), _u3315))) )).
% 19.51/19.76 cnf(matrix-2201, plain, ( ~class_Rings_Olinordered__semiring__strict(_u3316) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3316), c_Groups_Ozero__class_Ozero(_u3316)), _u3317)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3316), c_Groups_Ozero__class_Ozero(_u3316)), _u3318)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3316), c_Groups_Ozero__class_Ozero(_u3316)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3316), _u3317), _u3318))) )).
% 19.51/19.76 cnf(matrix-2202, plain, ( ~class_Rings_Olinordered__semiring__strict(_u3319) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3319), c_Groups_Ozero__class_Ozero(_u3319)), _u3320)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3319), _u3321), c_Groups_Ozero__class_Ozero(_u3319))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3319), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3319), _u3320), _u3321)), c_Groups_Ozero__class_Ozero(_u3319))) )).
% 19.51/19.76 cnf(matrix-2203, plain, ( ~class_Rings_Olinordered__semiring__strict(_u3322) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3322), c_Groups_Ozero__class_Ozero(_u3322)), _u3323)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3322), _u3324), c_Groups_Ozero__class_Ozero(_u3322))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3322), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3322), _u3324), _u3323)), c_Groups_Ozero__class_Ozero(_u3322))) )).
% 19.51/19.76 cnf(matrix-2204, plain, ( ~class_Rings_Olinordered__semiring__strict(_u3325) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3325), c_Groups_Ozero__class_Ozero(_u3325)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3325), _u3326), _u3327))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3325), c_Groups_Ozero__class_Ozero(_u3325)), _u3326)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3325), c_Groups_Ozero__class_Ozero(_u3325)), _u3327)) )).
% 19.51/19.76 cnf(matrix-2205, plain, ( ~class_Rings_Olinordered__semiring__strict(_u3328) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3328), c_Groups_Ozero__class_Ozero(_u3328)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3328), _u3329), _u3330))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3328), c_Groups_Ozero__class_Ozero(_u3328)), _u3330)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3328), c_Groups_Ozero__class_Ozero(_u3328)), _u3329)) )).
% 19.51/19.76 cnf(matrix-2206, plain, ( ~class_Rings_Olinordered__ring__strict(_u3331) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3331), _u3332), c_Groups_Ozero__class_Ozero(_u3331))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3331), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3331), _u3332), _u3333)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3331), _u3332), _u3334))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3331), _u3334), _u3333)) )).
% 19.51/19.76 cnf(matrix-2207, plain, ( ~class_Rings_Olinordered__ring__strict(_u3331) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3331), _u3332), c_Groups_Ozero__class_Ozero(_u3331))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3331), _u3334), _u3333)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3331), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3331), _u3332), _u3333)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3331), _u3332), _u3334))) )).
% 19.51/19.76 cnf(matrix-2208, plain, ( ~class_Rings_Olinordered__semiring__strict(_u3335) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3335), _u3336), c_Groups_Ozero__class_Ozero(_u3335))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3335), c_Groups_Ozero__class_Ozero(_u3335)), _u3337)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3335), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3335), _u3336), _u3337)), c_Groups_Ozero__class_Ozero(_u3335))) )).
% 19.51/19.76 cnf(matrix-2209, plain, ( ~class_Rings_Olinordered__ring__strict(_u3338) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3338), _u3339), c_Groups_Ozero__class_Ozero(_u3338))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3338), _u3340), c_Groups_Ozero__class_Ozero(_u3338))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3338), c_Groups_Ozero__class_Ozero(_u3338)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3338), _u3339), _u3340))) )).
% 19.51/19.76 cnf(matrix-2210, plain, ( ~class_Rings_Olinordered__semiring__strict(_u3341) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3341), _u3342), _u3343)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3341), c_Groups_Ozero__class_Ozero(_u3341)), _u3344)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3341), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3341), _u3342), _u3344)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3341), _u3343), _u3344))) )).
% 19.51/19.76 cnf(matrix-2211, plain, ( ~class_Rings_Olinordered__semiring__strict(_u3345) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3345), _u3346), _u3347)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3345), c_Groups_Ozero__class_Ozero(_u3345)), _u3348)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3345), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3345), _u3348), _u3346)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3345), _u3348), _u3347))) )).
% 19.51/19.76 cnf(matrix-2212, plain, ( ~class_Rings_Olinordered__comm__semiring__strict(_u3349) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3349), _u3350), _u3351)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3349), c_Groups_Ozero__class_Ozero(_u3349)), _u3352)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3349), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3349), _u3352), _u3350)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3349), _u3352), _u3351))) )).
% 19.51/19.76 cnf(matrix-2213, plain, ( ~class_Rings_Olinordered__ring__strict(_u3353) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3353), _u3354), _u3355)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3353), _u3356), c_Groups_Ozero__class_Ozero(_u3353))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3353), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3353), _u3355), _u3356)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3353), _u3354), _u3356))) )).
% 19.51/19.76 cnf(matrix-2214, plain, ( ~class_Rings_Olinordered__ring__strict(_u3357) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3357), _u3358), _u3359)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3357), _u3360), c_Groups_Ozero__class_Ozero(_u3357))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3357), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3357), _u3360), _u3359)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3357), _u3360), _u3358))) )).
% 19.51/19.76 cnf(matrix-2215, plain, ( ~class_Groups_Oordered__ab__group__add(_u3361) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3361), _u3362), _u3363)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3361), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3361), _u3362), _u3363)), c_Groups_Ozero__class_Ozero(_u3361))) )).
% 19.51/19.76 cnf(matrix-2216, plain, ( ~class_Groups_Oordered__ab__group__add(_u3361) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3361), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3361), _u3362), _u3363)), c_Groups_Ozero__class_Ozero(_u3361))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3361), _u3362), _u3363)) )).
% 19.51/19.76 cnf(matrix-2217, plain, ( ~class_Groups_Oordered__ab__group__add(_u3364) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3364), _u3365), _u3366)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3364), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3364), _u3365), _u3366)), c_Groups_Ozero__class_Ozero(_u3364))) )).
% 19.51/19.76 cnf(matrix-2218, plain, ( ~class_Groups_Oordered__ab__group__add(_u3364) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3364), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3364), _u3365), _u3366)), c_Groups_Ozero__class_Ozero(_u3364))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3364), _u3365), _u3366)) )).
% 19.51/19.76 cnf(matrix-2219, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u3367) | ( _u3368 = c_Groups_Ozero__class_Ozero(_u3367)) | ( _u3369 != _u3370) | ( _u3371 = _u3372) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3367), _u3369), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3367), _u3368), _u3371)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3367), _u3370), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3367), _u3368), _u3372))) )).
% 19.51/19.76 cnf(matrix-2220, plain, ( ~class_Rings_Olinordered__ring__strict(_u3373) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3373), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3373), _u3374), _u3374)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3373), _u3375), _u3375)) != c_Groups_Ozero__class_Ozero(_u3373)) | ( _u3374 = c_Groups_Ozero__class_Ozero(_u3373)) )).
% 19.51/19.76 cnf(matrix-2221, plain, ( ~class_Rings_Olinordered__ring__strict(_u3373) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3373), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3373), _u3374), _u3374)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3373), _u3375), _u3375)) != c_Groups_Ozero__class_Ozero(_u3373)) | ( _u3375 = c_Groups_Ozero__class_Ozero(_u3373)) )).
% 19.51/19.76 cnf(matrix-2222, plain, ( ~class_Rings_Olinordered__ring__strict(_u3373) | ( _u3374 != c_Groups_Ozero__class_Ozero(_u3373)) | ( _u3375 != c_Groups_Ozero__class_Ozero(_u3373)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3373), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3373), _u3374), _u3374)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3373), _u3375), _u3375)) = c_Groups_Ozero__class_Ozero(_u3373)) )).
% 19.51/19.76 cnf(matrix-2223, plain, ( ~class_Rings_Olinordered__semidom(_u3376) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3376), c_Groups_Ozero__class_Ozero(_u3376)), c_Groups_Oone__class_Oone(_u3376))) )).
% 19.51/19.76 cnf(matrix-2224, plain, ( ~class_Rings_Olinordered__semidom(_u3377) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3377), c_Groups_Oone__class_Oone(_u3377)), c_Groups_Ozero__class_Ozero(_u3377))) )).
% 19.51/19.76 cnf(matrix-2225, plain, ( ~class_Rings_Olinordered__semidom(_u3378) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3378), c_Groups_Oone__class_Oone(_u3378)), c_Groups_Ozero__class_Ozero(_u3378))) )).
% 19.51/19.76 cnf(matrix-2226, plain, ( ~class_Rings_Olinordered__semidom(_u3379) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3379), c_Groups_Ozero__class_Ozero(_u3379)), c_Groups_Oone__class_Oone(_u3379))) )).
% 19.51/19.76 cnf(matrix-2227, plain, ( ~class_Groups_Ocomm__monoid__add(_u3380) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3381, _u3380), _u3382), c_Orderings_Obot__class_Obot(tc_fun(_u3381, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u3380)) )).
% 19.51/19.76 cnf(matrix-2228, plain, ( ~class_Groups_Ocomm__monoid__add(_u3383) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3384, _u3383), _u3385), c_Orderings_Obot__class_Obot(tc_fun(_u3384, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u3383)) )).
% 19.51/19.76 cnf(matrix-2229, plain, ( ~class_Groups_Ocomm__monoid__add(_u3386) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3387), _u3388)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3387, _u3386), _u3389), _u3388) = c_Groups_Ozero__class_Ozero(_u3386)) )).
% 19.51/19.76 cnf(matrix-2230, plain, ( ~class_Groups_Ocomm__monoid__add(_u3390) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3391), _u3392)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3391, _u3390), _u3393), _u3392) = c_Groups_Ozero__class_Ozero(_u3390)) )).
% 19.51/19.76 cnf(matrix-2231, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3398), _u3399)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3398, tc_Nat_Onat), _u3400), _u3399) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u3398), skolem58(_u3400, _u3399, _u3398)), _u3399)) )).
% 19.51/19.76 cnf(matrix-2232, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3398), _u3399)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3398, tc_Nat_Onat), _u3400), _u3399) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u3400, skolem58(_u3400, _u3399, _u3398)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.76 cnf(matrix-2233, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3398), _u3399)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3398, tc_Nat_Onat), _u3400), _u3399) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u3398), _u3394), _u3399)) | ( skolem58(_u3400, _u3399, _u3398) = _u3394) | ( hAPP(_u3400, _u3394) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2234, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3398), _u3399)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3398, tc_Nat_Onat), _u3400), _u3399) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u3398), _u3397), _u3399)) | ( hAPP(_u3400, _u3397) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u3398), skolem59(_u3400, _u3399, _u3398, _u3397)), _u3399)) )).
% 19.51/19.76 cnf(matrix-2235, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3398), _u3399)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3398, tc_Nat_Onat), _u3400), _u3399) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u3398), _u3397), _u3399)) | ( hAPP(_u3400, _u3397) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3397 != skolem59(_u3400, _u3399, _u3398, _u3397)) )).
% 19.51/19.76 cnf(matrix-2236, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3398), _u3399)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3398, tc_Nat_Onat), _u3400), _u3399) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u3398), _u3397), _u3399)) | ( hAPP(_u3400, _u3397) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u3400, skolem59(_u3400, _u3399, _u3398, _u3397)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2237, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3404)) | ( _u3404 = hAPP(c_Nat_OSuc, skolem60(_u3404))) )).
% 19.51/19.76 cnf(matrix-2238, plain, ( ( _u3405 != hAPP(c_Nat_OSuc, _u3402)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3405)) )).
% 19.51/19.76 cnf(matrix-2239, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3407), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u3407 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2240, plain, ( ( _u3408 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3408), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 19.51/19.76 cnf(matrix-2241, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3413), hAPP(c_Nat_OSuc, _u3415))) | ( _u3413 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3413 = hAPP(c_Nat_OSuc, skolem61(_u3415, _u3413))) )).
% 19.51/19.76 cnf(matrix-2242, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3413), hAPP(c_Nat_OSuc, _u3415))) | ( _u3413 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem61(_u3415, _u3413)), _u3415)) )).
% 19.51/19.76 cnf(matrix-2243, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3414), hAPP(c_Nat_OSuc, _u3416))) | ( _u3414 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2244, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3414), hAPP(c_Nat_OSuc, _u3416))) | ( _u3414 != hAPP(c_Nat_OSuc, _u3410)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3410), _u3416)) )).
% 19.51/19.76 cnf(matrix-2245, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3419), _u3421) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3419 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3419 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2246, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3419), _u3421) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3419 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3421 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.76 cnf(matrix-2247, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3419), _u3421) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3421 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3419 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2248, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3419), _u3421) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3421 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3421 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.76 cnf(matrix-2249, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3420), _u3422) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3420 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3422 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2250, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3420), _u3422) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3420 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3422 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.76 cnf(matrix-2251, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3425), _u3427)) | ( _u3425 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3425 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2252, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3425), _u3427)) | ( _u3425 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3427 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.76 cnf(matrix-2253, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3425), _u3427)) | ( _u3427 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3425 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2254, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3425), _u3427)) | ( _u3427 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3427 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.76 cnf(matrix-2255, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3426), _u3428)) | ( _u3426 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3428 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2256, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3426), _u3428)) | ( _u3426 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3428 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.76 cnf(matrix-2257, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3431), _u3433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3431)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3433)) )).
% 19.51/19.76 cnf(matrix-2258, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3432), _u3434))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3432)) )).
% 19.51/19.76 cnf(matrix-2259, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3432), _u3434))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3434)) )).
% 19.51/19.76 cnf(matrix-2260, plain, ( ( hAPP(c_Finite__Set_Ocard(_u3435), c_Orderings_Obot__class_Obot(tc_fun(_u3435, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2261, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u3436), _u3437)) | ( hAPP(c_Finite__Set_Ocard(_u3436), _u3437) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2262, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3440), _u3442) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3440 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.76 cnf(matrix-2263, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3440), _u3442) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3442 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.76 cnf(matrix-2264, plain, ( ( _u3441 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3443 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3441), _u3443) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.76 cnf(matrix-2265, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3444)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3445)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3445), _u3444)), _u3445)) )).
% 19.51/19.76 cnf(matrix-2266, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3448), _u3450))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3450), _u3448)) )).
% 19.51/19.76 cnf(matrix-2267, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3451), _u3449)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3449), _u3451))) )).
% 19.51/19.76 cnf(matrix-2268, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3452)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3452), _u3453)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3452), _u3454))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3453), _u3454)) )).
% 19.51/19.76 cnf(matrix-2269, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3452)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3453), _u3454)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3452), _u3453)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3452), _u3454))) )).
% 19.51/19.76 cnf(matrix-2270, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3455)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3455), _u3456) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3455), _u3457)) | ( _u3456 = _u3457) )).
% 19.51/19.76 cnf(matrix-2271, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3455)) | ( _u3456 != _u3457) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3455), _u3456) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3455), _u3457)) )).
% 19.51/19.76 cnf(matrix-2272, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3458), _u3459)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3460)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3460), _u3458)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3460), _u3459))) )).
% 19.51/19.76 cnf(matrix-2273, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3461), _u3462)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3463)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3461), _u3463)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3462), _u3463))) )).
% 19.51/19.76 cnf(matrix-2274, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3467), _u3469)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3471), _u3469))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3469)) )).
% 19.51/19.76 cnf(matrix-2275, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3467), _u3469)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3471), _u3469))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3467), _u3471)) )).
% 19.51/19.76 cnf(matrix-2276, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3470)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3468), _u3472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3468), _u3470)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3472), _u3470))) )).
% 19.51/19.76 cnf(matrix-2277, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3476), _u3478)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3476), _u3480))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3476)) )).
% 19.51/19.76 cnf(matrix-2278, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3476), _u3478)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3476), _u3480))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3478), _u3480)) )).
% 19.51/19.76 cnf(matrix-2279, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3477)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3479), _u3481)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3477), _u3479)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3477), _u3481))) )).
% 19.51/19.76 cnf(matrix-2280, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3484), _u3486))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3484)) )).
% 19.51/19.76 cnf(matrix-2281, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3484), _u3486))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3486)) )).
% 19.51/19.76 cnf(matrix-2282, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3485)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3487)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3485), _u3487))) )).
% 19.51/19.76 cnf(matrix-2283, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3488), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3488), _u3489)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2284, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3490), _u3491)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3490), _u3491) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2285, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3494), _u3496) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3494), _u3496)) )).
% 19.51/19.76 cnf(matrix-2286, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3495), _u3497)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3495), _u3497) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2287, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3502), _u3503)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3502, tc_Nat_Onat), _u3504), _u3503) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u3502), skolem62(_u3504, _u3503, _u3502)), _u3503)) )).
% 19.51/19.76 cnf(matrix-2288, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3502), _u3503)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3502, tc_Nat_Onat), _u3504), _u3503) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u3504, skolem62(_u3504, _u3503, _u3502)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2289, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3502), _u3503)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3502, tc_Nat_Onat), _u3504), _u3503) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u3502), _u3498), _u3503)) | ( skolem62(_u3504, _u3503, _u3502) = _u3498) | ( hAPP(_u3504, _u3498) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2290, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3502), _u3503)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3502, tc_Nat_Onat), _u3504), _u3503) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u3502), _u3501), _u3503)) | ( hAPP(_u3504, _u3501) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u3502), skolem63(_u3504, _u3503, _u3502, _u3501)), _u3503)) )).
% 19.51/19.76 cnf(matrix-2291, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3502), _u3503)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3502, tc_Nat_Onat), _u3504), _u3503) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u3502), _u3501), _u3503)) | ( hAPP(_u3504, _u3501) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u3501 != skolem63(_u3504, _u3503, _u3502, _u3501)) )).
% 19.51/19.76 cnf(matrix-2292, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3502), _u3503)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3502, tc_Nat_Onat), _u3504), _u3503) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u3502), _u3501), _u3503)) | ( hAPP(_u3504, _u3501) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u3504, skolem63(_u3504, _u3503, _u3502, _u3501)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2293, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.76 cnf(matrix-2294, plain, ( ( _u3505 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3505), _u3506)) | ( _u3506 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u3505 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2295, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3507) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3507), _u3508), c_Groups_Ozero__class_Ozero(_u3507))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3507), _u3509), c_Groups_Ozero__class_Ozero(_u3507))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3507), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3507), _u3508), _u3509)), c_Groups_Ozero__class_Ozero(_u3507))) )).
% 19.51/19.76 cnf(matrix-2296, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3510) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3510), _u3511), c_Groups_Ozero__class_Ozero(_u3510))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3510), _u3512), c_Groups_Ozero__class_Ozero(_u3510))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3510), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3510), _u3511), _u3512)), c_Groups_Ozero__class_Ozero(_u3510))) )).
% 19.51/19.76 cnf(matrix-2297, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3513) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3513), c_Groups_Ozero__class_Ozero(_u3513)), _u3514)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3513), _u3515), _u3516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3513), _u3515), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3513), _u3514), _u3516))) )).
% 19.51/19.76 cnf(matrix-2298, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3517) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3517), c_Groups_Ozero__class_Ozero(_u3517)), _u3518)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3517), _u3519), _u3520)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3517), _u3519), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3517), _u3518), _u3520))) )).
% 19.51/19.76 cnf(matrix-2299, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3521) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3521), c_Groups_Ozero__class_Ozero(_u3521)), _u3522)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3521), c_Groups_Ozero__class_Ozero(_u3521)), _u3523)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3521), c_Groups_Ozero__class_Ozero(_u3521)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3521), _u3522), _u3523))) )).
% 19.51/19.76 cnf(matrix-2300, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3524) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3524), c_Groups_Ozero__class_Ozero(_u3524)), _u3525)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3524), c_Groups_Ozero__class_Ozero(_u3524)), _u3526)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3524), c_Groups_Ozero__class_Ozero(_u3524)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3524), _u3525), _u3526))) )).
% 19.51/19.76 cnf(matrix-2301, plain, ( ~class_Rings_Olinordered__semiring__strict(_u3527) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3527), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3527), _u3528), _u3529)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3527), _u3528), _u3530))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3527), c_Groups_Ozero__class_Ozero(_u3527)), _u3528)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3527), _u3529), _u3530)) )).
% 19.51/19.76 cnf(matrix-2302, plain, ( ~class_Rings_Olinordered__semiring__strict(_u3531) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3531), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3531), _u3532), _u3533)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3531), _u3534), _u3533))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3531), c_Groups_Ozero__class_Ozero(_u3531)), _u3533)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3531), _u3532), _u3534)) )).
% 19.51/19.76 cnf(matrix-2303, plain, ( ~class_Rings_Olinordered__semiring__strict(_u3535) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3535), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3535), _u3536), _u3537)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3535), _u3536), _u3538))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3535), c_Groups_Ozero__class_Ozero(_u3535)), _u3536)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3535), _u3537), _u3538)) )).
% 19.51/19.76 cnf(matrix-2304, plain, ( ~class_Rings_Olinordered__semiring(_u3539) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3539), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3539), _u3540), _u3541)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3539), _u3540), _u3542))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3539), c_Groups_Ozero__class_Ozero(_u3539)), _u3540)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3539), _u3541), _u3542)) )).
% 19.51/19.76 cnf(matrix-2305, plain, ( ~class_Rings_Olinordered__semiring__strict(_u3543) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3543), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3543), _u3544), _u3545)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3543), _u3546), _u3545))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3543), c_Groups_Ozero__class_Ozero(_u3543)), _u3545)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3543), _u3544), _u3546)) )).
% 19.51/19.76 cnf(matrix-2306, plain, ( ~class_Rings_Olinordered__semiring(_u3547) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3547), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3547), _u3548), _u3549)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3547), _u3550), _u3549))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3547), c_Groups_Ozero__class_Ozero(_u3547)), _u3549)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3547), _u3548), _u3550)) )).
% 19.51/19.76 cnf(matrix-2307, plain, ( ~class_Rings_Olinordered__semiring__strict(_u3551) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3551), _u3552), _u3553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3551), _u3554), _u3555)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3551), c_Groups_Ozero__class_Ozero(_u3551)), _u3552)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3551), c_Groups_Ozero__class_Ozero(_u3551)), _u3554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3551), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3551), _u3552), _u3554)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3551), _u3553), _u3555))) )).
% 19.51/19.76 cnf(matrix-2308, plain, ( ~class_Rings_Olinordered__semiring__strict(_u3556) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3556), _u3557), _u3558)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3556), _u3559), _u3560)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3556), c_Groups_Ozero__class_Ozero(_u3556)), _u3557)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3556), c_Groups_Ozero__class_Ozero(_u3556)), _u3559)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3556), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3556), _u3557), _u3559)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3556), _u3558), _u3560))) )).
% 19.51/19.76 cnf(matrix-2309, plain, ( ~class_Rings_Olinordered__semiring__strict(_u3561) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3561), _u3562), _u3563)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3561), _u3564), _u3565)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3561), c_Groups_Ozero__class_Ozero(_u3561)), _u3562)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3561), c_Groups_Ozero__class_Ozero(_u3561)), _u3564)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3561), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3561), _u3562), _u3564)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3561), _u3563), _u3565))) )).
% 19.51/19.76 cnf(matrix-2310, plain, ( ~class_Rings_Olinordered__semiring__strict(_u3566) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3566), _u3567), _u3568)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3566), _u3569), _u3570)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3566), c_Groups_Ozero__class_Ozero(_u3566)), _u3568)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3566), c_Groups_Ozero__class_Ozero(_u3566)), _u3569)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3566), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3566), _u3567), _u3569)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3566), _u3568), _u3570))) )).
% 19.51/19.76 cnf(matrix-2311, plain, ( ~class_Rings_Olinordered__ring__strict(_u3571) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3571), _u3572), c_Groups_Ozero__class_Ozero(_u3571))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3571), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3571), _u3572), _u3573)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3571), _u3572), _u3574))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3571), _u3574), _u3573)) )).
% 19.51/19.76 cnf(matrix-2312, plain, ( ~class_Rings_Olinordered__ring__strict(_u3571) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3571), _u3572), c_Groups_Ozero__class_Ozero(_u3571))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3571), _u3574), _u3573)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3571), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3571), _u3572), _u3573)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3571), _u3572), _u3574))) )).
% 19.51/19.76 cnf(matrix-2313, plain, ( ~class_Rings_Olinordered__ring__strict(_u3575) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3575), c_Groups_Ozero__class_Ozero(_u3575)), _u3576)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3575), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3575), _u3576), _u3577)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3575), _u3576), _u3578))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3575), _u3577), _u3578)) )).
% 19.51/19.76 cnf(matrix-2314, plain, ( ~class_Rings_Olinordered__ring__strict(_u3575) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3575), c_Groups_Ozero__class_Ozero(_u3575)), _u3576)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3575), _u3577), _u3578)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3575), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3575), _u3576), _u3577)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3575), _u3576), _u3578))) )).
% 19.51/19.76 cnf(matrix-2315, plain, ( ~class_Rings_Olinordered__ring__strict(_u3579) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3579), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3579), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3579), _u3580), _u3580)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3579), _u3581), _u3581))), c_Groups_Ozero__class_Ozero(_u3579))) | ( _u3580 = c_Groups_Ozero__class_Ozero(_u3579)) )).
% 19.51/19.76 cnf(matrix-2316, plain, ( ~class_Rings_Olinordered__ring__strict(_u3579) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3579), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3579), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3579), _u3580), _u3580)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3579), _u3581), _u3581))), c_Groups_Ozero__class_Ozero(_u3579))) | ( _u3581 = c_Groups_Ozero__class_Ozero(_u3579)) )).
% 19.51/19.76 cnf(matrix-2317, plain, ( ~class_Rings_Olinordered__ring__strict(_u3579) | ( _u3580 != c_Groups_Ozero__class_Ozero(_u3579)) | ( _u3581 != c_Groups_Ozero__class_Ozero(_u3579)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3579), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3579), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3579), _u3580), _u3580)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3579), _u3581), _u3581))), c_Groups_Ozero__class_Ozero(_u3579))) )).
% 19.51/19.76 cnf(matrix-2318, plain, ( ~class_Rings_Olinordered__ring(_u3582) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3582), c_Groups_Ozero__class_Ozero(_u3582)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3582), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3582), _u3583), _u3583)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3582), _u3584), _u3584)))) )).
% 19.51/19.76 cnf(matrix-2319, plain, ( ~class_Rings_Olinordered__ring(_u3585) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3585), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3585), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3585), _u3586), _u3586)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3585), _u3587), _u3587))), c_Groups_Ozero__class_Ozero(_u3585))) )).
% 19.51/19.76 cnf(matrix-2320, plain, ( ~class_Rings_Olinordered__ring__strict(_u3588) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3588), c_Groups_Ozero__class_Ozero(_u3588)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3588), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3588), _u3589), _u3589)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3588), _u3590), _u3590)))) | ( _u3589 != c_Groups_Ozero__class_Ozero(_u3588)) | ( _u3590 != c_Groups_Ozero__class_Ozero(_u3588)) )).
% 19.51/19.76 cnf(matrix-2321, plain, ( ~class_Rings_Olinordered__ring__strict(_u3588) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3588), c_Groups_Ozero__class_Ozero(_u3588)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3588), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3588), _u3589), _u3589)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3588), _u3590), _u3590)))) | ( _u3589 = c_Groups_Ozero__class_Ozero(_u3588)) )).
% 19.51/19.76 cnf(matrix-2322, plain, ( ~class_Rings_Olinordered__ring__strict(_u3588) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3588), c_Groups_Ozero__class_Ozero(_u3588)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3588), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3588), _u3589), _u3589)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3588), _u3590), _u3590)))) | ( _u3590 = c_Groups_Ozero__class_Ozero(_u3588)) )).
% 19.51/19.76 cnf(matrix-2323, plain, ( ~class_Rings_Olinordered__idom(_u3591) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3591), c_Groups_Ozero__class_Ozero(_u3591)), _u3592)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3591), c_Groups_Ozero__class_Ozero(_u3591)), _u3593)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3591), _u3593), c_Groups_Oone__class_Oone(_u3591))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3591), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3591), _u3593), _u3592)), _u3592)) )).
% 19.51/19.76 cnf(matrix-2324, plain, ( ~class_Rings_Olinordered__idom(_u3594) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3594), c_Groups_Ozero__class_Ozero(_u3594)), _u3595)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3594), c_Groups_Ozero__class_Ozero(_u3594)), _u3596)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3594), _u3596), c_Groups_Oone__class_Oone(_u3594))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3594), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3594), _u3595), _u3596)), _u3595)) )).
% 19.51/19.76 cnf(matrix-2325, plain, ( ~class_Rings_Olinordered__semidom(_u3597) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3597), c_Groups_Ozero__class_Ozero(_u3597)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3597), c_Groups_Oone__class_Oone(_u3597)), c_Groups_Oone__class_Oone(_u3597)))) )).
% 19.51/19.76 cnf(matrix-2326, plain, ( ( hAPP(c_Finite__Set_Ocard(_u3600), _u3602) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3602 = c_Orderings_Obot__class_Obot(tc_fun(_u3600, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3600), _u3602)) )).
% 19.51/19.76 cnf(matrix-2327, plain, ( ( hAPP(c_Finite__Set_Ocard(_u3601), _u3603) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3603 != c_Orderings_Obot__class_Obot(tc_fun(_u3601, tc_HOL_Obool))) )).
% 19.51/19.76 cnf(matrix-2328, plain, ( ( hAPP(c_Finite__Set_Ocard(_u3601), _u3603) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3601), _u3603)) )).
% 19.51/19.76 cnf(matrix-2329, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u3604), _u3605))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3604), _u3605)) )).
% 19.51/19.76 cnf(matrix-2330, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3606)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3606), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = _u3606) )).
% 19.51/19.76 cnf(matrix-2331, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3607)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3607), hAPP(c_Nat_OSuc, _u3608))), _u3607)) )).
% 19.51/19.76 cnf(matrix-2332, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u3609)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u3610)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3609), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3610), _u3609))) )).
% 19.51/19.76 cnf(matrix-2333, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u3611)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u3612)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3611), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3611), _u3612))) )).
% 19.51/19.76 cnf(matrix-2334, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u3613)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u3614)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3614), _u3613))) )).
% 19.51/19.76 cnf(matrix-2335, plain, ( ~hBOOL(hAPP(_u3620, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3622), _u3624))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3622), _u3624)) | hBOOL(hAPP(_u3620, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.76 cnf(matrix-2336, plain, ( ~hBOOL(hAPP(_u3620, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3622), _u3624))) | ( _u3622 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3624), _u3615)) | hBOOL(hAPP(_u3620, _u3615)) )).
% 19.51/19.76 cnf(matrix-2337, plain, ( hBOOL(hAPP(_u3621, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3623), _u3625))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3623), _u3625)) | ( _u3623 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3625), skolem64(_u3625, _u3623, _u3621))) )).
% 19.51/19.76 cnf(matrix-2338, plain, ( hBOOL(hAPP(_u3621, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3623), _u3625))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3623), _u3625)) | ~hBOOL(hAPP(_u3621, skolem64(_u3625, _u3623, _u3621))) )).
% 19.51/19.76 cnf(matrix-2339, plain, ( hBOOL(hAPP(_u3621, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3623), _u3625))) | ~hBOOL(hAPP(_u3621, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3623 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3625), skolem64(_u3625, _u3623, _u3621))) )).
% 19.51/19.76 cnf(matrix-2340, plain, ( hBOOL(hAPP(_u3621, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3623), _u3625))) | ~hBOOL(hAPP(_u3621, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3621, skolem64(_u3625, _u3623, _u3621))) )).
% 19.51/19.76 cnf(matrix-2341, plain, ( ~hBOOL(hAPP(_u3631, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3633), _u3635))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3633), _u3635)) | hBOOL(hAPP(_u3631, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.51/19.76 cnf(matrix-2342, plain, ( ~hBOOL(hAPP(_u3631, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3633), _u3635))) | ( _u3633 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3635), _u3626)) | hBOOL(hAPP(_u3631, _u3626)) )).
% 19.51/19.76 cnf(matrix-2343, plain, ( hBOOL(hAPP(_u3632, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3634), _u3636))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3634), _u3636)) | ( _u3634 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3636), skolem65(_u3636, _u3634, _u3632))) )).
% 19.51/19.76 cnf(matrix-2344, plain, ( hBOOL(hAPP(_u3632, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3634), _u3636))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3634), _u3636)) | ~hBOOL(hAPP(_u3632, skolem65(_u3636, _u3634, _u3632))) )).
% 19.51/19.76 cnf(matrix-2345, plain, ( hBOOL(hAPP(_u3632, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3634), _u3636))) | ~hBOOL(hAPP(_u3632, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3634 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3636), skolem65(_u3636, _u3634, _u3632))) )).
% 19.51/19.76 cnf(matrix-2346, plain, ( hBOOL(hAPP(_u3632, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3634), _u3636))) | ~hBOOL(hAPP(_u3632, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3632, skolem65(_u3636, _u3634, _u3632))) )).
% 19.51/19.76 cnf(matrix-2347, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3639), _u3641))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u3639)) )).
% 19.51/19.76 cnf(matrix-2348, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3639), _u3641))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u3641)) )).
% 19.51/19.76 cnf(matrix-2349, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u3640)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u3642)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3640), _u3642))) )).
% 19.51/19.76 cnf(matrix-2350, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3643)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3643), _u3644)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3643), _u3645))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3644), _u3645)) )).
% 19.51/19.76 cnf(matrix-2351, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3643)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3644), _u3645)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3643), _u3644)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3643), _u3645))) )).
% 19.51/19.76 cnf(matrix-2352, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3649), _u3651)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3653), _u3651))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3651)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3649), _u3653)) )).
% 19.51/19.76 cnf(matrix-2353, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3650), _u3652)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3654), _u3652))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3652)) )).
% 19.51/19.76 cnf(matrix-2354, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3650), _u3652)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3654), _u3652))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3650), _u3654)) )).
% 19.51/19.76 cnf(matrix-2355, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3658), _u3660)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3658), _u3662))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3658)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3660), _u3662)) )).
% 19.51/19.76 cnf(matrix-2356, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3659), _u3661)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3659), _u3663))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3659)) )).
% 19.51/19.76 cnf(matrix-2357, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3659), _u3661)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3659), _u3663))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3661), _u3663)) )).
% 19.51/19.76 cnf(matrix-2358, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3664) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3665), _u3666)) | hBOOL(hAPP(hAPP(c_member(_u3665), _u3667), _u3666)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3665, _u3664), _u3668), hAPP(hAPP(c_Set_Oinsert(_u3665), _u3667), _u3666)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3664), hAPP(_u3668, _u3667)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3665, _u3664), _u3668), _u3666))) )).
% 19.51/19.76 cnf(matrix-2359, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3669) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3670), _u3671)) | hBOOL(hAPP(hAPP(c_member(_u3670), _u3672), _u3671)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3670, _u3669), _u3673), hAPP(hAPP(c_Set_Oinsert(_u3670), _u3672), _u3671)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3669), hAPP(_u3673, _u3672)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3670, _u3669), _u3673), _u3671))) )).
% 19.51/19.76 cnf(matrix-2360, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3674) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3675), _u3676)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3675), _u3677)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3674), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3675, _u3674), _u3678), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3675, tc_HOL_Obool)), _u3676), _u3677))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3675, _u3674), _u3678), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3675, tc_HOL_Obool)), _u3676), _u3677))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3674), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3675, _u3674), _u3678), _u3676)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3675, _u3674), _u3678), _u3677))) )).
% 19.51/19.76 cnf(matrix-2361, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3679) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3680), _u3681)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3680), _u3682)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3679), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3680, _u3679), _u3683), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3680, tc_HOL_Obool)), _u3681), _u3682))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3680, _u3679), _u3683), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3680, tc_HOL_Obool)), _u3681), _u3682))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3679), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3680, _u3679), _u3683), _u3681)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3680, _u3679), _u3683), _u3682))) )).
% 19.51/19.76 cnf(matrix-2362, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3684) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3685), _u3686)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3685, _u3684), _u3687), _u3686) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3684, _u3685, c_Groups_Otimes__class_Otimes(_u3684)), _u3687), c_Groups_Oone__class_Oone(_u3684)), _u3686)) )).
% 19.51/19.76 cnf(matrix-2363, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3688) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3689), _u3690)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3689, _u3688), _u3691), _u3690) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3688, _u3689, c_Groups_Otimes__class_Otimes(_u3688)), _u3691), c_Groups_Oone__class_Oone(_u3688)), _u3690)) )).
% 19.51/19.76 cnf(matrix-2364, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3688) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3689), _u3690)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3689, _u3688), _u3691), _u3690) = c_Groups_Oone__class_Oone(_u3688)) )).
% 19.51/19.76 cnf(matrix-2365, plain, ( ~class_Rings_Olinordered__semiring__1(_u3692) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3692), _u3693), _u3694)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3692), _u3695), _u3694)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3692), c_Groups_Ozero__class_Ozero(_u3692)), _u3696)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3692), c_Groups_Ozero__class_Ozero(_u3692)), _u3697)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3692), _u3696), _u3697) != c_Groups_Oone__class_Oone(_u3692)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3692), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3692), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3692), _u3696), _u3693)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3692), _u3697), _u3695))), _u3694)) )).
% 19.51/19.76 cnf(matrix-2366, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3698) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3699), _u3700)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3699, _u3698), _u3701), hAPP(hAPP(c_Set_Oinsert(_u3699), _u3702), _u3700)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3698), hAPP(_u3701, _u3702)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3699, _u3698), _u3701), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3699, tc_HOL_Obool)), _u3700), hAPP(hAPP(c_Set_Oinsert(_u3699), _u3702), c_Orderings_Obot__class_Obot(tc_fun(_u3699, tc_HOL_Obool))))))) )).
% 19.51/19.76 cnf(matrix-2367, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3703) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3704), _u3705)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3704), _u3706)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3704, tc_HOL_Obool)), _u3705), _u3706) != c_Orderings_Obot__class_Obot(tc_fun(_u3704, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3704, _u3703), _u3707), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3704, tc_HOL_Obool)), _u3705), _u3706)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3703), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3704, _u3703), _u3707), _u3705)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3704, _u3703), _u3707), _u3706))) )).
% 19.51/19.76 cnf(matrix-2368, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3708) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3709), _u3710)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3709), _u3711)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3709, tc_HOL_Obool)), _u3710), _u3711) != c_Orderings_Obot__class_Obot(tc_fun(_u3709, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3709, _u3708), _u3712), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3709, tc_HOL_Obool)), _u3710), _u3711)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3708), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3709, _u3708), _u3712), _u3710)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3709, _u3708), _u3712), _u3711))) )).
% 19.51/19.76 cnf(matrix-2369, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u3715), _u3717))) | ( _u3717 != c_Orderings_Obot__class_Obot(tc_fun(_u3715, tc_HOL_Obool))) )).
% 19.51/19.76 cnf(matrix-2370, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u3715), _u3717))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3715), _u3717)) )).
% 19.51/19.76 cnf(matrix-2371, plain, ( ( _u3718 = c_Orderings_Obot__class_Obot(tc_fun(_u3716, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3716), _u3718)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u3716), _u3718))) )).
% 19.51/19.76 cnf(matrix-2372, plain, ( ~class_Groups_Ocomm__monoid__add(_u3719) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3720), _u3721)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3720, _u3719), _u3722), _u3721) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3719, _u3720, c_Groups_Oplus__class_Oplus(_u3719)), _u3722), c_Groups_Ozero__class_Ozero(_u3719)), _u3721)) )).
% 19.51/19.76 cnf(matrix-2373, plain, ( ~class_Groups_Ocomm__monoid__add(_u3723) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3724), _u3725)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3724, _u3723), _u3726), _u3725) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3723, _u3724, c_Groups_Oplus__class_Oplus(_u3723)), _u3726), c_Groups_Ozero__class_Ozero(_u3723)), _u3725)) )).
% 19.51/19.76 cnf(matrix-2374, plain, ( ~class_Groups_Ocomm__monoid__add(_u3723) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3724), _u3725)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3724, _u3723), _u3726), _u3725) = c_Groups_Ozero__class_Ozero(_u3723)) )).
% 19.51/19.76 cnf(matrix-2375, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3727)) | ( _u3727 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3727), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 19.51/19.76 cnf(matrix-2376, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3728)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3728), c_Groups_Oone__class_Oone(tc_Nat_Onat))) = _u3728) )).
% 19.51/19.76 cnf(matrix-2377, plain, ( ( _u3731 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3731), _u3733) = _u3733) )).
% 19.51/19.76 cnf(matrix-2378, plain, ( ( _u3732 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3732), _u3734) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3732), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u3734))) )).
% 19.51/19.76 cnf(matrix-2379, plain, ( ( _u3737 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3737), _u3739) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2380, plain, ( ( _u3738 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u3738), _u3740) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3740), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3738), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u3740))) )).
% 19.51/19.76 cnf(matrix-2381, plain, ( ~class_Rings_Olinordered__idom(_u3741) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3741), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3741), _u3742), _u3742)), c_Groups_Ozero__class_Ozero(_u3741))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3741), _u3742), c_Groups_Ozero__class_Ozero(_u3741))) )).
% 19.51/19.76 cnf(matrix-2382, plain, ( ~class_Rings_Olinordered__idom(_u3741) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3741), _u3742), c_Groups_Ozero__class_Ozero(_u3741))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3741), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3741), _u3742), _u3742)), c_Groups_Ozero__class_Ozero(_u3741))) )).
% 19.51/19.76 cnf(matrix-2383, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3744) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3745), _u3746)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3745, tc_HOL_Obool)), _u3747), _u3746)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3744), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3745, _u3744), _u3748), _u3747)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3745, _u3744), _u3748), _u3746))) | hBOOL(hAPP(hAPP(c_member(_u3745), skolem66(_u3748, _u3747, _u3746, _u3745, _u3744)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3745, tc_HOL_Obool)), _u3746), _u3747))) )).
% 19.51/19.76 cnf(matrix-2384, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3744) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3745), _u3746)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3745, tc_HOL_Obool)), _u3747), _u3746)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3744), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3745, _u3744), _u3748), _u3747)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3745, _u3744), _u3748), _u3746))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3744), c_Groups_Ozero__class_Ozero(_u3744)), hAPP(_u3748, skolem66(_u3748, _u3747, _u3746, _u3745, _u3744)))) )).
% 19.51/19.76 cnf(matrix-2385, plain, ( ( c_Sum__Type_OPlus(_u3753, _u3755, _u3757, _u3759) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u3753, _u3755), tc_HOL_Obool))) | ( _u3757 = c_Orderings_Obot__class_Obot(tc_fun(_u3753, tc_HOL_Obool))) )).
% 19.51/19.76 cnf(matrix-2386, plain, ( ( c_Sum__Type_OPlus(_u3753, _u3755, _u3757, _u3759) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u3753, _u3755), tc_HOL_Obool))) | ( _u3759 = c_Orderings_Obot__class_Obot(tc_fun(_u3755, tc_HOL_Obool))) )).
% 19.51/19.76 cnf(matrix-2387, plain, ( ( _u3758 != c_Orderings_Obot__class_Obot(tc_fun(_u3754, tc_HOL_Obool))) | ( _u3760 != c_Orderings_Obot__class_Obot(tc_fun(_u3756, tc_HOL_Obool))) | ( c_Sum__Type_OPlus(_u3754, _u3756, _u3758, _u3760) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u3754, _u3756), tc_HOL_Obool))) )).
% 19.51/19.76 cnf(matrix-2388, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3762), _u3763)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3762), _u3764)) | ( hAPP(c_Finite__Set_Ocard(_u3762), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3762, tc_HOL_Obool)), _u3763), _u3764)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3762), _u3763)), hAPP(c_Finite__Set_Ocard(_u3762), _u3764))) | hBOOL(hAPP(hAPP(c_member(_u3762), skolem67(_u3764, _u3763, _u3762)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3762, tc_HOL_Obool)), _u3763), _u3764))) )).
% 19.51/19.76 cnf(matrix-2389, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3762), _u3763)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3762), _u3764)) | ( hAPP(c_Finite__Set_Ocard(_u3762), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3762, tc_HOL_Obool)), _u3763), _u3764)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3762), _u3763)), hAPP(c_Finite__Set_Ocard(_u3762), _u3764))) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2390, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3766) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3767), _u3768)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3767), _u3769)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3767, _u3766), _u3770), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3767, tc_HOL_Obool)), _u3768), _u3769)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3766), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3767, _u3766), _u3770), _u3768)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3767, _u3766), _u3770), _u3769))) | hBOOL(hAPP(hAPP(c_member(_u3767), skolem68(_u3770, _u3769, _u3768, _u3767, _u3766)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3767, tc_HOL_Obool)), _u3768), _u3769))) )).
% 19.51/19.76 cnf(matrix-2391, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3766) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3767), _u3768)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3767), _u3769)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3767, _u3766), _u3770), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3767, tc_HOL_Obool)), _u3768), _u3769)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3766), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3767, _u3766), _u3770), _u3768)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3767, _u3766), _u3770), _u3769))) | ( hAPP(_u3770, skolem68(_u3770, _u3769, _u3768, _u3767, _u3766)) != c_Groups_Oone__class_Oone(_u3766)) )).
% 19.51/19.76 cnf(matrix-2392, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3772) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3773), _u3774)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3773), _u3775)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3773, _u3772), _u3776), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3773, tc_HOL_Obool)), _u3774), _u3775)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3772), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3773, _u3772), _u3776), _u3774)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3773, _u3772), _u3776), _u3775))) | hBOOL(hAPP(hAPP(c_member(_u3773), skolem69(_u3776, _u3775, _u3774, _u3773, _u3772)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3773, tc_HOL_Obool)), _u3774), _u3775))) )).
% 19.51/19.76 cnf(matrix-2393, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3772) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3773), _u3774)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3773), _u3775)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3773, _u3772), _u3776), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3773, tc_HOL_Obool)), _u3774), _u3775)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3772), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3773, _u3772), _u3776), _u3774)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3773, _u3772), _u3776), _u3775))) | ( hAPP(_u3776, skolem69(_u3776, _u3775, _u3774, _u3773, _u3772)) != c_Groups_Oone__class_Oone(_u3772)) )).
% 19.51/19.76 cnf(matrix-2394, plain, ( ~class_Groups_Ocomm__monoid__add(_u3778) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3779), _u3780)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3779), _u3781)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3779, _u3778), _u3782), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3779, tc_HOL_Obool)), _u3780), _u3781)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3778), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3779, _u3778), _u3782), _u3780)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3779, _u3778), _u3782), _u3781))) | hBOOL(hAPP(hAPP(c_member(_u3779), skolem70(_u3782, _u3781, _u3780, _u3779, _u3778)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3779, tc_HOL_Obool)), _u3780), _u3781))) )).
% 19.51/19.76 cnf(matrix-2395, plain, ( ~class_Groups_Ocomm__monoid__add(_u3778) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3779), _u3780)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3779), _u3781)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3779, _u3778), _u3782), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3779, tc_HOL_Obool)), _u3780), _u3781)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3778), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3779, _u3778), _u3782), _u3780)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3779, _u3778), _u3782), _u3781))) | ( hAPP(_u3782, skolem70(_u3782, _u3781, _u3780, _u3779, _u3778)) != c_Groups_Ozero__class_Ozero(_u3778)) )).
% 19.51/19.76 cnf(matrix-2396, plain, ( ~class_Groups_Ocomm__monoid__add(_u3784) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3785), _u3786)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3785), _u3787)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3785, _u3784), _u3788), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3785, tc_HOL_Obool)), _u3786), _u3787)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3784), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3785, _u3784), _u3788), _u3786)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3785, _u3784), _u3788), _u3787))) | hBOOL(hAPP(hAPP(c_member(_u3785), skolem71(_u3788, _u3787, _u3786, _u3785, _u3784)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3785, tc_HOL_Obool)), _u3786), _u3787))) )).
% 19.51/19.76 cnf(matrix-2397, plain, ( ~class_Groups_Ocomm__monoid__add(_u3784) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3785), _u3786)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3785), _u3787)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3785, _u3784), _u3788), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3785, tc_HOL_Obool)), _u3786), _u3787)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3784), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3785, _u3784), _u3788), _u3786)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3785, _u3784), _u3788), _u3787))) | ( hAPP(_u3788, skolem71(_u3788, _u3787, _u3786, _u3785, _u3784)) != c_Groups_Ozero__class_Ozero(_u3784)) )).
% 19.51/19.76 cnf(matrix-2398, plain, ( ( c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2399, plain, ( ~class_Groups_Olinordered__ab__group__add(_u3789) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3789), _u3790), _u3790) != c_Groups_Ozero__class_Ozero(_u3789)) | ( _u3790 = c_Groups_Ozero__class_Ozero(_u3789)) )).
% 19.51/19.76 cnf(matrix-2400, plain, ( ~class_Groups_Olinordered__ab__group__add(_u3789) | ( _u3790 != c_Groups_Ozero__class_Ozero(_u3789)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3789), _u3790), _u3790) = c_Groups_Ozero__class_Ozero(_u3789)) )).
% 19.51/19.76 cnf(matrix-2401, plain, ( ( hAPP(c_Finite__Set_Ocard(_u3798), _u3800) != hAPP(c_Nat_OSuc, _u3802)) | ( _u3800 = hAPP(hAPP(c_Set_Oinsert(_u3798), skolem72(_u3802, _u3800, _u3798)), skolem73(_u3802, _u3800, _u3798))) )).
% 19.51/19.76 cnf(matrix-2402, plain, ( ( hAPP(c_Finite__Set_Ocard(_u3798), _u3800) != hAPP(c_Nat_OSuc, _u3802)) | ~hBOOL(hAPP(hAPP(c_member(_u3798), skolem72(_u3802, _u3800, _u3798)), skolem73(_u3802, _u3800, _u3798))) )).
% 19.51/19.76 cnf(matrix-2403, plain, ( ( hAPP(c_Finite__Set_Ocard(_u3798), _u3800) != hAPP(c_Nat_OSuc, _u3802)) | ( hAPP(c_Finite__Set_Ocard(_u3798), skolem73(_u3802, _u3800, _u3798)) = _u3802) )).
% 19.51/19.76 cnf(matrix-2404, plain, ( ( hAPP(c_Finite__Set_Ocard(_u3798), _u3800) != hAPP(c_Nat_OSuc, _u3802)) | ( _u3802 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem73(_u3802, _u3800, _u3798) = c_Orderings_Obot__class_Obot(tc_fun(_u3798, tc_HOL_Obool))) )).
% 19.51/19.76 cnf(matrix-2405, plain, ( ( hAPP(c_Finite__Set_Ocard(_u3799), _u3801) = hAPP(c_Nat_OSuc, _u3803)) | ( _u3801 != hAPP(hAPP(c_Set_Oinsert(_u3799), _u3794), _u3793)) | hBOOL(hAPP(hAPP(c_member(_u3799), _u3794), _u3793)) | ( hAPP(c_Finite__Set_Ocard(_u3799), _u3793) != _u3803) | ( _u3803 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2406, plain, ( ( hAPP(c_Finite__Set_Ocard(_u3799), _u3801) = hAPP(c_Nat_OSuc, _u3803)) | ( _u3801 != hAPP(hAPP(c_Set_Oinsert(_u3799), _u3794), _u3793)) | hBOOL(hAPP(hAPP(c_member(_u3799), _u3794), _u3793)) | ( hAPP(c_Finite__Set_Ocard(_u3799), _u3793) != _u3803) | ( _u3793 != c_Orderings_Obot__class_Obot(tc_fun(_u3799, tc_HOL_Obool))) )).
% 19.51/19.76 cnf(matrix-2407, plain, ( ~class_Groups_Ocomm__monoid__add(_u3805) | ~class_Groups_Oordered__ab__semigroup__add(_u3805) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3806), _u3807)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3806, tc_HOL_Obool)), _u3808), _u3807)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3805), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3806, _u3805), _u3809), _u3808)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3806, _u3805), _u3809), _u3807))) | hBOOL(hAPP(hAPP(c_member(_u3806), skolem74(_u3809, _u3808, _u3807, _u3806, _u3805)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3806, tc_HOL_Obool)), _u3807), _u3808))) )).
% 19.51/19.76 cnf(matrix-2408, plain, ( ~class_Groups_Ocomm__monoid__add(_u3805) | ~class_Groups_Oordered__ab__semigroup__add(_u3805) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3806), _u3807)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3806, tc_HOL_Obool)), _u3808), _u3807)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3805), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3806, _u3805), _u3809), _u3808)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3806, _u3805), _u3809), _u3807))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3805), c_Groups_Ozero__class_Ozero(_u3805)), hAPP(_u3809, skolem74(_u3809, _u3808, _u3807, _u3806, _u3805)))) )).
% 19.51/19.76 cnf(matrix-2409, plain, ( ~class_Rings_Olinordered__idom(_u3810) | ~hBOOL(hAPP(hAPP(c_member(_u3810), _u3811), c_Int_Oring__1__class_OInts(_u3810))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3810), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3810), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3810), c_Groups_Oone__class_Oone(_u3810)), _u3811)), _u3811)), c_Groups_Ozero__class_Ozero(_u3810))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3810), _u3811), c_Groups_Ozero__class_Ozero(_u3810))) )).
% 19.51/19.76 cnf(matrix-2410, plain, ( ~class_Rings_Olinordered__idom(_u3810) | ~hBOOL(hAPP(hAPP(c_member(_u3810), _u3811), c_Int_Oring__1__class_OInts(_u3810))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3810), _u3811), c_Groups_Ozero__class_Ozero(_u3810))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3810), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3810), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3810), c_Groups_Oone__class_Oone(_u3810)), _u3811)), _u3811)), c_Groups_Ozero__class_Ozero(_u3810))) )).
% 19.51/19.76 cnf(matrix-2411, plain, ( ~class_Fields_Ofield(_u3812) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3813), _u3814)) | ( hAPP(_u3815, _u3816) = c_Groups_Ozero__class_Ozero(_u3812)) | ~hBOOL(hAPP(hAPP(c_member(_u3813), _u3816), _u3814)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3813, _u3812), _u3815), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3813, tc_HOL_Obool)), _u3814), hAPP(hAPP(c_Set_Oinsert(_u3813), _u3816), c_Orderings_Obot__class_Obot(tc_fun(_u3813, tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3812), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3813, _u3812), _u3815), _u3814)), hAPP(_u3815, _u3816))) )).
% 19.51/19.76 cnf(matrix-2412, plain, ( ~class_Fields_Ofield(_u3812) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3813), _u3814)) | ( hAPP(_u3815, _u3816) = c_Groups_Ozero__class_Ozero(_u3812)) | hBOOL(hAPP(hAPP(c_member(_u3813), _u3816), _u3814)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3813, _u3812), _u3815), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3813, tc_HOL_Obool)), _u3814), hAPP(hAPP(c_Set_Oinsert(_u3813), _u3816), c_Orderings_Obot__class_Obot(tc_fun(_u3813, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3813, _u3812), _u3815), _u3814)) )).
% 19.51/19.76 cnf(matrix-2413, plain, ( hBOOL(hAPP(_u3819, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3819, _u3820)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem75(_u3820, _u3819)), _u3820)) )).
% 19.51/19.76 cnf(matrix-2414, plain, ( hBOOL(hAPP(_u3819, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3819, _u3820)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3817), skolem75(_u3820, _u3819))) | ~hBOOL(hAPP(_u3819, _u3817)) )).
% 19.51/19.76 cnf(matrix-2415, plain, ( hBOOL(hAPP(_u3819, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3819, _u3820)) | hBOOL(hAPP(_u3819, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem75(_u3820, _u3819)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 19.51/19.76 cnf(matrix-2416, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3822) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3823), _u3824)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3823, tc_HOL_Obool)), _u3825), _u3824)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3823, _u3822), _u3826), _u3825) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3823, _u3822), _u3826), _u3824)) | hBOOL(hAPP(hAPP(c_member(_u3823), skolem76(_u3826, _u3825, _u3824, _u3823, _u3822)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3823, tc_HOL_Obool)), _u3824), _u3825))) )).
% 19.51/19.76 cnf(matrix-2417, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3822) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3823), _u3824)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3823, tc_HOL_Obool)), _u3825), _u3824)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3823, _u3822), _u3826), _u3825) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3823, _u3822), _u3826), _u3824)) | ( hAPP(_u3826, skolem76(_u3826, _u3825, _u3824, _u3823, _u3822)) != c_Groups_Oone__class_Oone(_u3822)) )).
% 19.51/19.76 cnf(matrix-2418, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3828) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3829), _u3830)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3829, tc_HOL_Obool)), _u3831), _u3830)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3829, _u3828), _u3832), _u3830) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3829, _u3828), _u3832), _u3831)) | hBOOL(hAPP(hAPP(c_member(_u3829), skolem77(_u3832, _u3831, _u3830, _u3829, _u3828)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3829, tc_HOL_Obool)), _u3830), _u3831))) )).
% 19.51/19.76 cnf(matrix-2419, plain, ( ~class_Groups_Ocomm__monoid__mult(_u3828) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3829), _u3830)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3829, tc_HOL_Obool)), _u3831), _u3830)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3829, _u3828), _u3832), _u3830) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u3829, _u3828), _u3832), _u3831)) | ( hAPP(_u3832, skolem77(_u3832, _u3831, _u3830, _u3829, _u3828)) != c_Groups_Oone__class_Oone(_u3828)) )).
% 19.51/19.76 cnf(matrix-2420, plain, ( ~class_Groups_Ocomm__monoid__add(_u3834) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3835), _u3836)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3835, tc_HOL_Obool)), _u3837), _u3836)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3835, _u3834), _u3838), _u3837) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3835, _u3834), _u3838), _u3836)) | hBOOL(hAPP(hAPP(c_member(_u3835), skolem78(_u3838, _u3837, _u3836, _u3835, _u3834)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3835, tc_HOL_Obool)), _u3836), _u3837))) )).
% 19.51/19.76 cnf(matrix-2421, plain, ( ~class_Groups_Ocomm__monoid__add(_u3834) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3835), _u3836)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3835, tc_HOL_Obool)), _u3837), _u3836)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3835, _u3834), _u3838), _u3837) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3835, _u3834), _u3838), _u3836)) | ( hAPP(_u3838, skolem78(_u3838, _u3837, _u3836, _u3835, _u3834)) != c_Groups_Ozero__class_Ozero(_u3834)) )).
% 19.51/19.76 cnf(matrix-2422, plain, ( ~class_Rings_Odivision__ring(_u3839) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3839), c_Groups_Ozero__class_Ozero(_u3839)), _u3840) = c_Groups_Ozero__class_Ozero(_u3839)) )).
% 19.51/19.76 cnf(matrix-2423, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u3841) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3841), _u3842), c_Groups_Ozero__class_Ozero(_u3841)) = c_Groups_Ozero__class_Ozero(_u3841)) )).
% 19.51/19.76 cnf(matrix-2424, plain, ( ~class_Rings_Odivision__ring(_u3843) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3843), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3843), _u3844), _u3845)), _u3846) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3843), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3843), _u3844), _u3846)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3843), _u3845), _u3846))) )).
% 19.51/19.76 cnf(matrix-2425, plain, ( ~class_Rings_Odivision__ring(_u3847) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3847), _u3848), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3847), _u3849), _u3850)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3847), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3847), _u3848), _u3849)), _u3850)) )).
% 19.51/19.76 cnf(matrix-2426, plain, ( ~class_Rings_Odivision__ring(_u3851) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3851), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3851), _u3852), _u3853)), _u3854) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3851), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3851), _u3852), _u3854)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3851), _u3853), _u3854))) )).
% 19.51/19.76 cnf(matrix-2427, plain, ( ~class_Rings_Odivision__ring(_u3855) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3855), _u3856), c_Groups_Oone__class_Oone(_u3855)) = _u3856) )).
% 19.51/19.76 cnf(matrix-2428, plain, ( ~class_Rings_Odivision__ring(_u3857) | ( _u3858 = c_Groups_Ozero__class_Ozero(_u3857)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3857), _u3859), _u3858) != _u3860) | ( _u3859 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3857), _u3860), _u3858)) )).
% 19.51/19.76 cnf(matrix-2429, plain, ( ~class_Rings_Odivision__ring(_u3861) | ( _u3862 = c_Groups_Ozero__class_Ozero(_u3861)) | ( _u3863 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3861), _u3864), _u3862)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3861), _u3863), _u3862) = _u3864) )).
% 19.51/19.76 cnf(matrix-2430, plain, ( ~class_Rings_Odivision__ring(_u3865) | ( _u3866 = c_Groups_Ozero__class_Ozero(_u3865)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3865), _u3867), _u3866) != _u3868) | ( _u3867 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3865), _u3868), _u3866)) )).
% 19.51/19.76 cnf(matrix-2431, plain, ( ~class_Rings_Odivision__ring(_u3865) | ( _u3866 = c_Groups_Ozero__class_Ozero(_u3865)) | ( _u3867 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3865), _u3868), _u3866)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3865), _u3867), _u3866) = _u3868) )).
% 19.51/19.76 cnf(matrix-2432, plain, ( ~class_Rings_Odivision__ring(_u3869) | ( _u3870 = c_Groups_Ozero__class_Ozero(_u3869)) | ( _u3871 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3869), _u3872), _u3870)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3869), _u3871), _u3870) = _u3872) )).
% 19.51/19.76 cnf(matrix-2433, plain, ( ~class_Rings_Odivision__ring(_u3869) | ( _u3870 = c_Groups_Ozero__class_Ozero(_u3869)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3869), _u3871), _u3870) != _u3872) | ( _u3871 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3869), _u3872), _u3870)) )).
% 19.51/19.76 cnf(matrix-2434, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u3873) | ( _u3874 != c_Groups_Ozero__class_Ozero(_u3873)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3873), _u3874), _u3874) = c_Groups_Ozero__class_Ozero(_u3873)) )).
% 19.51/19.76 cnf(matrix-2435, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u3873) | ( _u3874 = c_Groups_Ozero__class_Ozero(_u3873)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3873), _u3874), _u3874) = c_Groups_Oone__class_Oone(_u3873)) )).
% 19.51/19.76 cnf(matrix-2436, plain, ( ~class_Rings_Odivision__ring(_u3875) | ( _u3876 = c_Groups_Ozero__class_Ozero(_u3875)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3875), _u3876), _u3876) = c_Groups_Oone__class_Oone(_u3875)) )).
% 19.51/19.76 cnf(matrix-2437, plain, ( ~class_Rings_Odivision__ring(_u3877) | ( _u3878 = c_Groups_Ozero__class_Ozero(_u3877)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3877), _u3879), _u3878) != c_Groups_Oone__class_Oone(_u3877)) | ( _u3879 = _u3878) )).
% 19.51/19.76 cnf(matrix-2438, plain, ( ~class_Rings_Odivision__ring(_u3877) | ( _u3878 = c_Groups_Ozero__class_Ozero(_u3877)) | ( _u3879 != _u3878) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3877), _u3879), _u3878) = c_Groups_Oone__class_Oone(_u3877)) )).
% 19.51/19.76 cnf(matrix-2439, plain, ( ~class_Rings_Oring__1(_u3880) | hBOOL(hAPP(hAPP(c_member(_u3880), c_Groups_Ozero__class_Ozero(_u3880)), c_Int_Oring__1__class_OInts(_u3880))) )).
% 19.51/19.76 cnf(matrix-2440, plain, ( ~class_Rings_Oring__1(_u3881) | ~hBOOL(hAPP(hAPP(c_member(_u3881), _u3882), c_Int_Oring__1__class_OInts(_u3881))) | ~hBOOL(hAPP(hAPP(c_member(_u3881), _u3883), c_Int_Oring__1__class_OInts(_u3881))) | hBOOL(hAPP(hAPP(c_member(_u3881), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3881), _u3882), _u3883)), c_Int_Oring__1__class_OInts(_u3881))) )).
% 19.51/19.76 cnf(matrix-2441, plain, ( ~class_Rings_Oring__1(_u3884) | ~hBOOL(hAPP(hAPP(c_member(_u3884), _u3885), c_Int_Oring__1__class_OInts(_u3884))) | ~hBOOL(hAPP(hAPP(c_member(_u3884), _u3886), c_Int_Oring__1__class_OInts(_u3884))) | hBOOL(hAPP(hAPP(c_member(_u3884), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3884), _u3885), _u3886)), c_Int_Oring__1__class_OInts(_u3884))) )).
% 19.51/19.76 cnf(matrix-2442, plain, ( ~class_Rings_Oring__1(_u3887) | ~hBOOL(hAPP(hAPP(c_member(_u3887), _u3888), c_Int_Oring__1__class_OInts(_u3887))) | ~hBOOL(hAPP(hAPP(c_member(_u3887), _u3889), c_Int_Oring__1__class_OInts(_u3887))) | hBOOL(hAPP(hAPP(c_member(_u3887), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3887), _u3888), _u3889)), c_Int_Oring__1__class_OInts(_u3887))) )).
% 19.51/19.76 cnf(matrix-2443, plain, ( ~class_Rings_Oring__1(_u3890) | hBOOL(hAPP(hAPP(c_member(_u3890), c_Groups_Oone__class_Oone(_u3890)), c_Int_Oring__1__class_OInts(_u3890))) )).
% 19.51/19.76 cnf(matrix-2444, plain, ( ~class_Int_Oring__char__0(_u3891) | ~hBOOL(hAPP(hAPP(c_member(_u3891), _u3892), c_Int_Oring__1__class_OInts(_u3891))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3891), _u3892), _u3892) != c_Groups_Ozero__class_Ozero(_u3891)) | ( _u3892 = c_Groups_Ozero__class_Ozero(_u3891)) )).
% 19.51/19.76 cnf(matrix-2445, plain, ( ~class_Int_Oring__char__0(_u3891) | ~hBOOL(hAPP(hAPP(c_member(_u3891), _u3892), c_Int_Oring__1__class_OInts(_u3891))) | ( _u3892 != c_Groups_Ozero__class_Ozero(_u3891)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3891), _u3892), _u3892) = c_Groups_Ozero__class_Ozero(_u3891)) )).
% 19.51/19.76 cnf(matrix-2446, plain, ( ~class_Int_Oring__char__0(_u3893) | ~hBOOL(hAPP(hAPP(c_member(_u3893), _u3894), c_Int_Oring__1__class_OInts(_u3893))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3893), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3893), c_Groups_Oone__class_Oone(_u3893)), _u3894)), _u3894) != c_Groups_Ozero__class_Ozero(_u3893)) )).
% 19.51/19.76 cnf(matrix-2447, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3895) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3896), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3895), _u3897), _u3898))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3895), c_Groups_Ozero__class_Ozero(_u3895)), _u3898)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3895), _u3896), _u3898)), _u3897)) )).
% 19.51/19.76 cnf(matrix-2448, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3895) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3896), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3895), _u3897), _u3898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3895), c_Groups_Ozero__class_Ozero(_u3895)), _u3898)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3895), _u3898), c_Groups_Ozero__class_Ozero(_u3895))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3897), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3895), _u3896), _u3898))) )).
% 19.51/19.76 cnf(matrix-2449, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3895) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3896), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3895), _u3897), _u3898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3895), c_Groups_Ozero__class_Ozero(_u3895)), _u3898)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3895), _u3898), c_Groups_Ozero__class_Ozero(_u3895))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3896), c_Groups_Ozero__class_Ozero(_u3895))) )).
% 19.51/19.76 cnf(matrix-2450, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3895) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3896), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3895), _u3897), _u3898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3895), c_Groups_Ozero__class_Ozero(_u3895)), _u3898)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3895), _u3898), c_Groups_Ozero__class_Ozero(_u3895))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3896), c_Groups_Ozero__class_Ozero(_u3895))) )).
% 19.51/19.76 cnf(matrix-2451, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3895) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3896), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3895), _u3897), _u3898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3895), c_Groups_Ozero__class_Ozero(_u3895)), _u3898)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3897), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3895), _u3896), _u3898))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3895), _u3898), c_Groups_Ozero__class_Ozero(_u3895))) )).
% 19.51/19.76 cnf(matrix-2452, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3895) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3896), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3895), _u3897), _u3898))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3895), c_Groups_Ozero__class_Ozero(_u3895)), _u3898)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3897), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3895), _u3896), _u3898))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3896), c_Groups_Ozero__class_Ozero(_u3895))) )).
% 19.51/19.76 cnf(matrix-2453, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3895) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3896), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3895), _u3897), _u3898))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3895), _u3896), _u3898)), _u3897)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3895), c_Groups_Ozero__class_Ozero(_u3895)), _u3898)) )).
% 19.51/19.76 cnf(matrix-2454, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3895) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3896), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3895), _u3897), _u3898))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3895), _u3896), _u3898)), _u3897)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3895), _u3898), c_Groups_Ozero__class_Ozero(_u3895))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3896), c_Groups_Ozero__class_Ozero(_u3895))) )).
% 19.51/19.76 cnf(matrix-2455, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3895) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3896), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3895), _u3897), _u3898))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3895), _u3896), _u3898)), _u3897)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3897), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3895), _u3896), _u3898))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3895), _u3898), c_Groups_Ozero__class_Ozero(_u3895))) )).
% 19.51/19.76 cnf(matrix-2456, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3895) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3896), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3895), _u3897), _u3898))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3895), _u3896), _u3898)), _u3897)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3897), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3895), _u3896), _u3898))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3895), _u3896), c_Groups_Ozero__class_Ozero(_u3895))) )).
% 19.51/19.76 cnf(matrix-2457, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3899) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3899), _u3900), _u3901)), _u3902)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3899), c_Groups_Ozero__class_Ozero(_u3899)), _u3901)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), _u3900), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3899), _u3902), _u3901))) )).
% 19.51/19.76 cnf(matrix-2458, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3899) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3899), _u3900), _u3901)), _u3902)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3899), c_Groups_Ozero__class_Ozero(_u3899)), _u3901)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3899), _u3901), c_Groups_Ozero__class_Ozero(_u3899))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3899), _u3902), _u3901)), _u3900)) )).
% 19.51/19.76 cnf(matrix-2459, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3899) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3899), _u3900), _u3901)), _u3902)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3899), c_Groups_Ozero__class_Ozero(_u3899)), _u3901)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3899), _u3901), c_Groups_Ozero__class_Ozero(_u3899))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), c_Groups_Ozero__class_Ozero(_u3899)), _u3902)) )).
% 19.51/19.76 cnf(matrix-2460, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3899) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3899), _u3900), _u3901)), _u3902)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3899), c_Groups_Ozero__class_Ozero(_u3899)), _u3901)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3899), _u3901), c_Groups_Ozero__class_Ozero(_u3899))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), c_Groups_Ozero__class_Ozero(_u3899)), _u3902)) )).
% 19.51/19.76 cnf(matrix-2461, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3899) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3899), _u3900), _u3901)), _u3902)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3899), c_Groups_Ozero__class_Ozero(_u3899)), _u3901)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3899), _u3902), _u3901)), _u3900)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3899), _u3901), c_Groups_Ozero__class_Ozero(_u3899))) )).
% 19.51/19.76 cnf(matrix-2462, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3899) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3899), _u3900), _u3901)), _u3902)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3899), c_Groups_Ozero__class_Ozero(_u3899)), _u3901)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3899), _u3902), _u3901)), _u3900)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), c_Groups_Ozero__class_Ozero(_u3899)), _u3902)) )).
% 19.51/19.76 cnf(matrix-2463, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3899) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3899), _u3900), _u3901)), _u3902)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), _u3900), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3899), _u3902), _u3901))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3899), c_Groups_Ozero__class_Ozero(_u3899)), _u3901)) )).
% 19.51/19.76 cnf(matrix-2464, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3899) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3899), _u3900), _u3901)), _u3902)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), _u3900), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3899), _u3902), _u3901))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3899), _u3901), c_Groups_Ozero__class_Ozero(_u3899))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), c_Groups_Ozero__class_Ozero(_u3899)), _u3902)) )).
% 19.51/19.76 cnf(matrix-2465, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3899) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3899), _u3900), _u3901)), _u3902)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), _u3900), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3899), _u3902), _u3901))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3899), _u3902), _u3901)), _u3900)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3899), _u3901), c_Groups_Ozero__class_Ozero(_u3899))) )).
% 19.51/19.76 cnf(matrix-2466, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3899) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3899), _u3900), _u3901)), _u3902)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), _u3900), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3899), _u3902), _u3901))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3899), _u3902), _u3901)), _u3900)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3899), c_Groups_Ozero__class_Ozero(_u3899)), _u3902)) )).
% 19.51/19.76 cnf(matrix-2467, plain, ( ~class_Fields_Olinordered__field(_u3903) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3903), c_Groups_Ozero__class_Ozero(_u3903)), _u3904)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3903), _u3905), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3903), _u3906), _u3904))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3903), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3903), _u3905), _u3904)), _u3906)) )).
% 19.51/19.76 cnf(matrix-2468, plain, ( ~class_Fields_Olinordered__field(_u3903) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3903), c_Groups_Ozero__class_Ozero(_u3903)), _u3904)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3903), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3903), _u3905), _u3904)), _u3906)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3903), _u3905), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3903), _u3906), _u3904))) )).
% 19.51/19.76 cnf(matrix-2469, plain, ( ~class_Fields_Olinordered__field(_u3907) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3907), c_Groups_Ozero__class_Ozero(_u3907)), _u3908)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3907), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3907), _u3909), _u3908)), _u3910)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3907), _u3909), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3907), _u3910), _u3908))) )).
% 19.51/19.76 cnf(matrix-2470, plain, ( ~class_Fields_Olinordered__field(_u3907) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3907), c_Groups_Ozero__class_Ozero(_u3907)), _u3908)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3907), _u3909), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3907), _u3910), _u3908))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3907), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3907), _u3909), _u3908)), _u3910)) )).
% 19.51/19.76 cnf(matrix-2471, plain, ( ~class_Fields_Olinordered__field(_u3911) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3911), c_Groups_Ozero__class_Ozero(_u3911)), _u3912)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3911), _u3913), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3911), _u3914), _u3912))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3911), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3911), _u3913), _u3912)), _u3914)) )).
% 19.51/19.76 cnf(matrix-2472, plain, ( ~class_Fields_Olinordered__field(_u3915) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3915), c_Groups_Ozero__class_Ozero(_u3915)), _u3916)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3915), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3915), _u3917), _u3916)), _u3918)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3915), _u3917), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3915), _u3918), _u3916))) )).
% 19.51/19.76 cnf(matrix-2473, plain, ( ~class_Fields_Olinordered__field(_u3919) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3919), _u3920), c_Groups_Ozero__class_Ozero(_u3919))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3919), _u3921), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3919), _u3922), _u3920))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3919), _u3922), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3919), _u3921), _u3920))) )).
% 19.51/19.76 cnf(matrix-2474, plain, ( ~class_Fields_Olinordered__field(_u3919) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3919), _u3920), c_Groups_Ozero__class_Ozero(_u3919))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3919), _u3922), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3919), _u3921), _u3920))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3919), _u3921), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3919), _u3922), _u3920))) )).
% 19.51/19.76 cnf(matrix-2475, plain, ( ~class_Fields_Olinordered__field(_u3923) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3923), _u3924), c_Groups_Ozero__class_Ozero(_u3923))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3923), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3923), _u3925), _u3924)), _u3926)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3923), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3923), _u3926), _u3924)), _u3925)) )).
% 19.51/19.76 cnf(matrix-2476, plain, ( ~class_Fields_Olinordered__field(_u3923) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3923), _u3924), c_Groups_Ozero__class_Ozero(_u3923))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3923), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3923), _u3926), _u3924)), _u3925)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3923), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3923), _u3925), _u3924)), _u3926)) )).
% 19.51/19.76 cnf(matrix-2477, plain, ( ~class_Fields_Ofield__inverse__zero(_u3927) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3927), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3927), _u3928), _u3929)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3927), _u3930), _u3931)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3927), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3927), _u3928), _u3930)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3927), _u3929), _u3931))) )).
% 19.51/19.76 cnf(matrix-2478, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3932) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3932), c_Groups_Ozero__class_Ozero(_u3932)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3932), _u3933), _u3934))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3932), c_Groups_Ozero__class_Ozero(_u3932)), _u3933)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3932), _u3933), c_Groups_Ozero__class_Ozero(_u3932))) )).
% 19.51/19.76 cnf(matrix-2479, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3932) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3932), c_Groups_Ozero__class_Ozero(_u3932)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3932), _u3933), _u3934))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3932), c_Groups_Ozero__class_Ozero(_u3932)), _u3933)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3932), _u3934), c_Groups_Ozero__class_Ozero(_u3932))) )).
% 19.51/19.76 cnf(matrix-2480, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3932) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3932), c_Groups_Ozero__class_Ozero(_u3932)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3932), _u3933), _u3934))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3932), c_Groups_Ozero__class_Ozero(_u3932)), _u3934)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3932), _u3933), c_Groups_Ozero__class_Ozero(_u3932))) )).
% 19.51/19.76 cnf(matrix-2481, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3932) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3932), c_Groups_Ozero__class_Ozero(_u3932)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3932), _u3933), _u3934))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3932), c_Groups_Ozero__class_Ozero(_u3932)), _u3934)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3932), _u3934), c_Groups_Ozero__class_Ozero(_u3932))) )).
% 19.51/19.76 cnf(matrix-2482, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3932) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3932), c_Groups_Ozero__class_Ozero(_u3932)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3932), _u3933), _u3934))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3932), c_Groups_Ozero__class_Ozero(_u3932)), _u3933)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3932), c_Groups_Ozero__class_Ozero(_u3932)), _u3934)) )).
% 19.51/19.76 cnf(matrix-2483, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3932) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3932), c_Groups_Ozero__class_Ozero(_u3932)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3932), _u3933), _u3934))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3932), _u3933), c_Groups_Ozero__class_Ozero(_u3932))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3932), _u3934), c_Groups_Ozero__class_Ozero(_u3932))) )).
% 19.51/19.76 cnf(matrix-2484, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3935) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3935), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3935), _u3936), _u3937)), c_Groups_Ozero__class_Ozero(_u3935))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3935), c_Groups_Ozero__class_Ozero(_u3935)), _u3936)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3935), _u3936), c_Groups_Ozero__class_Ozero(_u3935))) )).
% 19.51/19.76 cnf(matrix-2485, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3935) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3935), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3935), _u3936), _u3937)), c_Groups_Ozero__class_Ozero(_u3935))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3935), c_Groups_Ozero__class_Ozero(_u3935)), _u3936)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3935), c_Groups_Ozero__class_Ozero(_u3935)), _u3937)) )).
% 19.51/19.76 cnf(matrix-2486, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3935) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3935), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3935), _u3936), _u3937)), c_Groups_Ozero__class_Ozero(_u3935))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3935), _u3937), c_Groups_Ozero__class_Ozero(_u3935))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3935), _u3936), c_Groups_Ozero__class_Ozero(_u3935))) )).
% 19.51/19.76 cnf(matrix-2487, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3935) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3935), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3935), _u3936), _u3937)), c_Groups_Ozero__class_Ozero(_u3935))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3935), _u3937), c_Groups_Ozero__class_Ozero(_u3935))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3935), c_Groups_Ozero__class_Ozero(_u3935)), _u3937)) )).
% 19.51/19.76 cnf(matrix-2488, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3935) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3935), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3935), _u3936), _u3937)), c_Groups_Ozero__class_Ozero(_u3935))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3935), c_Groups_Ozero__class_Ozero(_u3935)), _u3936)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3935), _u3937), c_Groups_Ozero__class_Ozero(_u3935))) )).
% 19.51/19.76 cnf(matrix-2489, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3935) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3935), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3935), _u3936), _u3937)), c_Groups_Ozero__class_Ozero(_u3935))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3935), _u3936), c_Groups_Ozero__class_Ozero(_u3935))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3935), c_Groups_Ozero__class_Ozero(_u3935)), _u3937)) )).
% 19.51/19.76 cnf(matrix-2490, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3938) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3938), _u3939), _u3940)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3938), c_Groups_Ozero__class_Ozero(_u3938)), _u3941)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3938), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3938), _u3939), _u3941)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3938), _u3940), _u3941))) )).
% 19.51/19.76 cnf(matrix-2491, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3942) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3942), _u3943), _u3944)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3942), _u3945), c_Groups_Ozero__class_Ozero(_u3942))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3942), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3942), _u3944), _u3945)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3942), _u3943), _u3945))) )).
% 19.51/19.76 cnf(matrix-2492, plain, ( ~class_Fields_Olinordered__field(_u3946) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3946), _u3947), _u3948)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3946), _u3949), c_Groups_Ozero__class_Ozero(_u3946))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3946), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3946), _u3948), _u3949)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3946), _u3947), _u3949))) )).
% 19.51/19.76 cnf(matrix-2493, plain, ( ~class_Fields_Olinordered__field(_u3950) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3950), _u3951), _u3952)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3950), c_Groups_Ozero__class_Ozero(_u3950)), _u3953)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3950), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3950), _u3951), _u3953)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3950), _u3952), _u3953))) )).
% 19.51/19.76 cnf(matrix-2494, plain, ( ~class_Fields_Olinordered__field(_u3954) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3954), _u3955), c_Groups_Ozero__class_Ozero(_u3954))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3954), _u3956), c_Groups_Ozero__class_Ozero(_u3954))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3954), c_Groups_Ozero__class_Ozero(_u3954)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3954), _u3955), _u3956))) )).
% 19.51/19.76 cnf(matrix-2495, plain, ( ~class_Fields_Olinordered__field(_u3957) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3957), _u3958), c_Groups_Ozero__class_Ozero(_u3957))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3957), c_Groups_Ozero__class_Ozero(_u3957)), _u3959)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3957), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3957), _u3958), _u3959)), c_Groups_Ozero__class_Ozero(_u3957))) )).
% 19.51/19.76 cnf(matrix-2496, plain, ( ~class_Fields_Olinordered__field(_u3960) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3960), c_Groups_Ozero__class_Ozero(_u3960)), _u3961)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3960), _u3962), c_Groups_Ozero__class_Ozero(_u3960))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3960), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3960), _u3961), _u3962)), c_Groups_Ozero__class_Ozero(_u3960))) )).
% 19.51/19.76 cnf(matrix-2497, plain, ( ~class_Fields_Olinordered__field(_u3963) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3963), c_Groups_Ozero__class_Ozero(_u3963)), _u3964)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3963), c_Groups_Ozero__class_Ozero(_u3963)), _u3965)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3963), c_Groups_Ozero__class_Ozero(_u3963)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3963), _u3964), _u3965))) )).
% 19.51/19.76 cnf(matrix-2498, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3966) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3966), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3966), _u3967), _u3968)), c_Groups_Ozero__class_Ozero(_u3966))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3966), c_Groups_Ozero__class_Ozero(_u3966)), _u3967)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3966), _u3967), c_Groups_Ozero__class_Ozero(_u3966))) )).
% 19.51/19.76 cnf(matrix-2499, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3966) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3966), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3966), _u3967), _u3968)), c_Groups_Ozero__class_Ozero(_u3966))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3966), c_Groups_Ozero__class_Ozero(_u3966)), _u3967)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3966), c_Groups_Ozero__class_Ozero(_u3966)), _u3968)) )).
% 19.51/19.76 cnf(matrix-2500, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3966) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3966), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3966), _u3967), _u3968)), c_Groups_Ozero__class_Ozero(_u3966))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3966), _u3968), c_Groups_Ozero__class_Ozero(_u3966))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3966), _u3967), c_Groups_Ozero__class_Ozero(_u3966))) )).
% 19.51/19.76 cnf(matrix-2501, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3966) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3966), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3966), _u3967), _u3968)), c_Groups_Ozero__class_Ozero(_u3966))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3966), _u3968), c_Groups_Ozero__class_Ozero(_u3966))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3966), c_Groups_Ozero__class_Ozero(_u3966)), _u3968)) )).
% 19.51/19.76 cnf(matrix-2502, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3966) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3966), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3966), _u3967), _u3968)), c_Groups_Ozero__class_Ozero(_u3966))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3966), c_Groups_Ozero__class_Ozero(_u3966)), _u3967)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3966), _u3968), c_Groups_Ozero__class_Ozero(_u3966))) )).
% 19.51/19.76 cnf(matrix-2503, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3966) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3966), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3966), _u3967), _u3968)), c_Groups_Ozero__class_Ozero(_u3966))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3966), _u3967), c_Groups_Ozero__class_Ozero(_u3966))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3966), c_Groups_Ozero__class_Ozero(_u3966)), _u3968)) )).
% 19.51/19.76 cnf(matrix-2504, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3969) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), c_Groups_Ozero__class_Ozero(_u3969)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3969), _u3970), _u3971))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), c_Groups_Ozero__class_Ozero(_u3969)), _u3970)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), _u3970), c_Groups_Ozero__class_Ozero(_u3969))) )).
% 19.51/19.76 cnf(matrix-2505, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3969) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), c_Groups_Ozero__class_Ozero(_u3969)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3969), _u3970), _u3971))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), c_Groups_Ozero__class_Ozero(_u3969)), _u3970)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), _u3971), c_Groups_Ozero__class_Ozero(_u3969))) )).
% 19.51/19.76 cnf(matrix-2506, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3969) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), c_Groups_Ozero__class_Ozero(_u3969)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3969), _u3970), _u3971))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), c_Groups_Ozero__class_Ozero(_u3969)), _u3971)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), _u3970), c_Groups_Ozero__class_Ozero(_u3969))) )).
% 19.51/19.76 cnf(matrix-2507, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3969) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), c_Groups_Ozero__class_Ozero(_u3969)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3969), _u3970), _u3971))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), c_Groups_Ozero__class_Ozero(_u3969)), _u3971)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), _u3971), c_Groups_Ozero__class_Ozero(_u3969))) )).
% 19.51/19.76 cnf(matrix-2508, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3969) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), c_Groups_Ozero__class_Ozero(_u3969)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3969), _u3970), _u3971))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), c_Groups_Ozero__class_Ozero(_u3969)), _u3970)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), c_Groups_Ozero__class_Ozero(_u3969)), _u3971)) )).
% 19.51/19.76 cnf(matrix-2509, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u3969) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), c_Groups_Ozero__class_Ozero(_u3969)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3969), _u3970), _u3971))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), _u3970), c_Groups_Ozero__class_Ozero(_u3969))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3969), _u3971), c_Groups_Ozero__class_Ozero(_u3969))) )).
% 19.51/19.76 cnf(matrix-2510, plain, ( ~class_Fields_Ofield__inverse__zero(_u3972) | ( _u3973 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3972), _u3974), _u3975)) | ( _u3975 = c_Groups_Ozero__class_Ozero(_u3972)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3972), _u3973), _u3975) = _u3974) )).
% 19.51/19.76 cnf(matrix-2511, plain, ( ~class_Fields_Ofield__inverse__zero(_u3972) | ( _u3973 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3972), _u3974), _u3975)) | ( _u3975 != c_Groups_Ozero__class_Ozero(_u3972)) | ( _u3973 = c_Groups_Ozero__class_Ozero(_u3972)) )).
% 19.51/19.76 cnf(matrix-2512, plain, ( ~class_Fields_Ofield__inverse__zero(_u3972) | ( _u3973 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3972), _u3974), _u3975)) | ( _u3975 != c_Groups_Ozero__class_Ozero(_u3972)) | ( _u3973 != c_Groups_Ozero__class_Ozero(_u3972)) )).
% 19.51/19.76 cnf(matrix-2513, plain, ( ~class_Fields_Ofield__inverse__zero(_u3972) | ( _u3973 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3972), _u3974), _u3975)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3972), _u3973), _u3975) != _u3974) | ( _u3975 = c_Groups_Ozero__class_Ozero(_u3972)) )).
% 19.51/19.76 cnf(matrix-2514, plain, ( ~class_Fields_Ofield__inverse__zero(_u3972) | ( _u3973 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3972), _u3974), _u3975)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3972), _u3973), _u3975) != _u3974) | ( _u3973 != c_Groups_Ozero__class_Ozero(_u3972)) )).
% 19.51/19.76 cnf(matrix-2515, plain, ( ~class_Fields_Ofield__inverse__zero(_u3976) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3976), _u3977), _u3978) != _u3979) | ( _u3978 = c_Groups_Ozero__class_Ozero(_u3976)) | ( _u3977 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3976), _u3979), _u3978)) )).
% 19.51/19.76 cnf(matrix-2516, plain, ( ~class_Fields_Ofield__inverse__zero(_u3976) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3976), _u3977), _u3978) != _u3979) | ( _u3978 != c_Groups_Ozero__class_Ozero(_u3976)) | ( _u3979 = c_Groups_Ozero__class_Ozero(_u3976)) )).
% 19.51/19.76 cnf(matrix-2517, plain, ( ~class_Fields_Ofield__inverse__zero(_u3976) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3976), _u3977), _u3978) = _u3979) | ( _u3978 != c_Groups_Ozero__class_Ozero(_u3976)) | ( _u3979 != c_Groups_Ozero__class_Ozero(_u3976)) )).
% 19.51/19.76 cnf(matrix-2518, plain, ( ~class_Fields_Ofield__inverse__zero(_u3976) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3976), _u3977), _u3978) = _u3979) | ( _u3977 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3976), _u3979), _u3978)) | ( _u3978 = c_Groups_Ozero__class_Ozero(_u3976)) )).
% 19.51/19.76 cnf(matrix-2519, plain, ( ~class_Fields_Ofield__inverse__zero(_u3976) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3976), _u3977), _u3978) = _u3979) | ( _u3977 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3976), _u3979), _u3978)) | ( _u3979 != c_Groups_Ozero__class_Ozero(_u3976)) )).
% 19.51/19.76 cnf(matrix-2520, plain, ( ~class_Fields_Ofield__inverse__zero(_u3980) | ( _u3981 = c_Groups_Ozero__class_Ozero(_u3980)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3980), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3980), _u3982), _u3981)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3980), _u3983), _u3981)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3980), _u3982), _u3983)) )).
% 19.51/19.76 cnf(matrix-2521, plain, ( ~class_Fields_Ofield__inverse__zero(_u3984) | ( _u3985 = c_Groups_Ozero__class_Ozero(_u3984)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3984), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3984), _u3985), _u3986)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3984), _u3985), _u3987)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3984), _u3986), _u3987)) )).
% 19.51/19.76 cnf(matrix-2522, plain, ( ~class_Fields_Ofield(_u3988) | ( _u3989 = c_Groups_Ozero__class_Ozero(_u3988)) | ( _u3990 = c_Groups_Ozero__class_Ozero(_u3988)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3988), _u3991), _u3989) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3988), _u3992), _u3990)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3988), _u3991), _u3990) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3988), _u3992), _u3989)) )).
% 19.51/19.76 cnf(matrix-2523, plain, ( ~class_Fields_Ofield(_u3988) | ( _u3989 = c_Groups_Ozero__class_Ozero(_u3988)) | ( _u3990 = c_Groups_Ozero__class_Ozero(_u3988)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3988), _u3991), _u3990) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3988), _u3992), _u3989)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3988), _u3991), _u3989) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3988), _u3992), _u3990)) )).
% 19.51/19.76 cnf(matrix-2524, plain, ( ~class_Fields_Olinordered__field(_u3993) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3993), c_Groups_Ozero__class_Ozero(_u3993)), _u3994)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3993), c_Groups_Ozero__class_Ozero(_u3993)), _u3995)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3993), c_Groups_Ozero__class_Ozero(_u3993)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3993), _u3994), _u3995))) )).
% 19.51/19.76 cnf(matrix-2525, plain, ( ~class_Fields_Olinordered__field(_u3996) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3996), c_Groups_Ozero__class_Ozero(_u3996)), _u3997)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3996), _u3998), c_Groups_Ozero__class_Ozero(_u3996))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3996), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3996), _u3997), _u3998)), c_Groups_Ozero__class_Ozero(_u3996))) )).
% 19.51/19.76 cnf(matrix-2526, plain, ( ~class_Fields_Olinordered__field(_u3999) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3999), c_Groups_Ozero__class_Ozero(_u3999)), _u4000)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3999), _u4000), _u4001)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3999), c_Groups_Ozero__class_Ozero(_u3999)), _u4002)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3999), _u4002), _u4003)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3999), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3999), _u4000), _u4003)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u3999), _u4001), _u4002))) )).
% 19.51/19.76 cnf(matrix-2527, plain, ( ~class_Fields_Olinordered__field(_u4004) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4004), c_Groups_Ozero__class_Ozero(_u4004)), _u4005)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4004), _u4005), _u4006)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4004), c_Groups_Ozero__class_Ozero(_u4004)), _u4007)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4004), _u4007), _u4008)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4004), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4004), _u4005), _u4008)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4004), _u4006), _u4007))) )).
% 19.51/19.76 cnf(matrix-2528, plain, ( ~class_Fields_Olinordered__field(_u4009) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4009), c_Groups_Ozero__class_Ozero(_u4009)), _u4010)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4009), _u4010), _u4011)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4009), c_Groups_Ozero__class_Ozero(_u4009)), _u4012)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4009), _u4012), _u4013)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4009), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4009), _u4010), _u4013)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4009), _u4011), _u4012))) )).
% 19.51/19.76 cnf(matrix-2529, plain, ( ~class_Fields_Olinordered__field(_u4014) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4014), _u4015), c_Groups_Ozero__class_Ozero(_u4014))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4014), c_Groups_Ozero__class_Ozero(_u4014)), _u4016)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4014), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4014), _u4015), _u4016)), c_Groups_Ozero__class_Ozero(_u4014))) )).
% 19.51/19.76 cnf(matrix-2530, plain, ( ~class_Fields_Olinordered__field(_u4017) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4017), _u4018), c_Groups_Ozero__class_Ozero(_u4017))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4017), _u4019), c_Groups_Ozero__class_Ozero(_u4017))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4017), c_Groups_Ozero__class_Ozero(_u4017)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4017), _u4018), _u4019))) )).
% 19.51/19.76 cnf(matrix-2531, plain, ( ~class_Fields_Olinordered__field(_u4020) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4020), _u4021), _u4022)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4020), _u4023), c_Groups_Ozero__class_Ozero(_u4020))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4020), c_Groups_Ozero__class_Ozero(_u4020)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4020), _u4021), _u4022))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4020), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4020), _u4023), _u4021)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4020), _u4023), _u4022))) )).
% 19.51/19.76 cnf(matrix-2532, plain, ( ~class_Fields_Olinordered__field(_u4024) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4024), _u4025), _u4026)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4024), c_Groups_Ozero__class_Ozero(_u4024)), _u4027)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4024), c_Groups_Ozero__class_Ozero(_u4024)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4024), _u4026), _u4025))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4024), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4024), _u4027), _u4026)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4024), _u4027), _u4025))) )).
% 19.51/19.76 cnf(matrix-2533, plain, ( ~class_Fields_Olinordered__field(_u4028) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4028), _u4029), c_Groups_Ozero__class_Ozero(_u4028))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4028), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4028), _u4030), _u4029)), _u4031)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4028), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4028), _u4031), _u4029)), _u4030)) )).
% 19.51/19.76 cnf(matrix-2534, plain, ( ~class_Fields_Olinordered__field(_u4028) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4028), _u4029), c_Groups_Ozero__class_Ozero(_u4028))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4028), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4028), _u4031), _u4029)), _u4030)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4028), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4028), _u4030), _u4029)), _u4031)) )).
% 19.51/19.76 cnf(matrix-2535, plain, ( ~class_Fields_Olinordered__field(_u4032) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4032), _u4033), c_Groups_Ozero__class_Ozero(_u4032))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4032), _u4034), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4032), _u4035), _u4033))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4032), _u4035), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4032), _u4034), _u4033))) )).
% 19.51/19.76 cnf(matrix-2536, plain, ( ~class_Fields_Olinordered__field(_u4032) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4032), _u4033), c_Groups_Ozero__class_Ozero(_u4032))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4032), _u4035), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4032), _u4034), _u4033))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4032), _u4034), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4032), _u4035), _u4033))) )).
% 19.51/19.76 cnf(matrix-2537, plain, ( ~class_Fields_Olinordered__field(_u4036) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4036), c_Groups_Ozero__class_Ozero(_u4036)), _u4037)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4036), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4036), _u4038), _u4037)), _u4039)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4036), _u4038), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4036), _u4039), _u4037))) )).
% 19.51/19.76 cnf(matrix-2538, plain, ( ~class_Fields_Olinordered__field(_u4040) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4040), c_Groups_Ozero__class_Ozero(_u4040)), _u4041)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4040), _u4042), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4040), _u4043), _u4041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4040), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4040), _u4042), _u4041)), _u4043)) )).
% 19.51/19.76 cnf(matrix-2539, plain, ( ~class_Fields_Olinordered__field(_u4044) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4044), c_Groups_Ozero__class_Ozero(_u4044)), _u4045)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4044), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4044), _u4046), _u4045)), _u4047)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4044), _u4046), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4044), _u4047), _u4045))) )).
% 19.51/19.76 cnf(matrix-2540, plain, ( ~class_Fields_Olinordered__field(_u4044) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4044), c_Groups_Ozero__class_Ozero(_u4044)), _u4045)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4044), _u4046), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4044), _u4047), _u4045))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4044), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4044), _u4046), _u4045)), _u4047)) )).
% 19.51/19.76 cnf(matrix-2541, plain, ( ~class_Fields_Olinordered__field(_u4048) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4048), c_Groups_Ozero__class_Ozero(_u4048)), _u4049)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4048), _u4050), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4048), _u4051), _u4049))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4048), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4048), _u4050), _u4049)), _u4051)) )).
% 19.51/19.76 cnf(matrix-2542, plain, ( ~class_Fields_Olinordered__field(_u4048) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4048), c_Groups_Ozero__class_Ozero(_u4048)), _u4049)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4048), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4048), _u4050), _u4049)), _u4051)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4048), _u4050), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4048), _u4051), _u4049))) )).
% 19.51/19.76 cnf(matrix-2543, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4052) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4052), _u4053), _u4054)), _u4055)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), c_Groups_Ozero__class_Ozero(_u4052)), _u4054)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), _u4053), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4052), _u4055), _u4054))) )).
% 19.51/19.76 cnf(matrix-2544, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4052) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4052), _u4053), _u4054)), _u4055)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), c_Groups_Ozero__class_Ozero(_u4052)), _u4054)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), _u4054), c_Groups_Ozero__class_Ozero(_u4052))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4052), _u4055), _u4054)), _u4053)) )).
% 19.51/19.76 cnf(matrix-2545, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4052) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4052), _u4053), _u4054)), _u4055)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), c_Groups_Ozero__class_Ozero(_u4052)), _u4054)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), _u4054), c_Groups_Ozero__class_Ozero(_u4052))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), c_Groups_Ozero__class_Ozero(_u4052)), _u4055)) )).
% 19.51/19.76 cnf(matrix-2546, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4052) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4052), _u4053), _u4054)), _u4055)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), c_Groups_Ozero__class_Ozero(_u4052)), _u4054)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), _u4054), c_Groups_Ozero__class_Ozero(_u4052))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), c_Groups_Ozero__class_Ozero(_u4052)), _u4055)) )).
% 19.51/19.76 cnf(matrix-2547, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4052) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4052), _u4053), _u4054)), _u4055)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), c_Groups_Ozero__class_Ozero(_u4052)), _u4054)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4052), _u4055), _u4054)), _u4053)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), _u4054), c_Groups_Ozero__class_Ozero(_u4052))) )).
% 19.51/19.76 cnf(matrix-2548, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4052) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4052), _u4053), _u4054)), _u4055)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), c_Groups_Ozero__class_Ozero(_u4052)), _u4054)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4052), _u4055), _u4054)), _u4053)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), c_Groups_Ozero__class_Ozero(_u4052)), _u4055)) )).
% 19.51/19.76 cnf(matrix-2549, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4052) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4052), _u4053), _u4054)), _u4055)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), _u4053), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4052), _u4055), _u4054))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), c_Groups_Ozero__class_Ozero(_u4052)), _u4054)) )).
% 19.51/19.76 cnf(matrix-2550, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4052) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4052), _u4053), _u4054)), _u4055)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), _u4053), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4052), _u4055), _u4054))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), _u4054), c_Groups_Ozero__class_Ozero(_u4052))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), c_Groups_Ozero__class_Ozero(_u4052)), _u4055)) )).
% 19.51/19.76 cnf(matrix-2551, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4052) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4052), _u4053), _u4054)), _u4055)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), _u4053), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4052), _u4055), _u4054))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4052), _u4055), _u4054)), _u4053)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), _u4054), c_Groups_Ozero__class_Ozero(_u4052))) )).
% 19.51/19.76 cnf(matrix-2552, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4052) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4052), _u4053), _u4054)), _u4055)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), _u4053), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4052), _u4055), _u4054))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4052), _u4055), _u4054)), _u4053)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4052), c_Groups_Ozero__class_Ozero(_u4052)), _u4055)) )).
% 19.51/19.76 cnf(matrix-2553, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4056) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4057), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4056), _u4058), _u4059))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), c_Groups_Ozero__class_Ozero(_u4056)), _u4059)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4056), _u4057), _u4059)), _u4058)) )).
% 19.51/19.76 cnf(matrix-2554, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4056) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4057), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4056), _u4058), _u4059))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), c_Groups_Ozero__class_Ozero(_u4056)), _u4059)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4059), c_Groups_Ozero__class_Ozero(_u4056))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4058), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4056), _u4057), _u4059))) )).
% 19.51/19.76 cnf(matrix-2555, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4056) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4057), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4056), _u4058), _u4059))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), c_Groups_Ozero__class_Ozero(_u4056)), _u4059)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4059), c_Groups_Ozero__class_Ozero(_u4056))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4057), c_Groups_Ozero__class_Ozero(_u4056))) )).
% 19.51/19.76 cnf(matrix-2556, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4056) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4057), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4056), _u4058), _u4059))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), c_Groups_Ozero__class_Ozero(_u4056)), _u4059)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4059), c_Groups_Ozero__class_Ozero(_u4056))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4057), c_Groups_Ozero__class_Ozero(_u4056))) )).
% 19.51/19.76 cnf(matrix-2557, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4056) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4057), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4056), _u4058), _u4059))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), c_Groups_Ozero__class_Ozero(_u4056)), _u4059)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4058), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4056), _u4057), _u4059))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4059), c_Groups_Ozero__class_Ozero(_u4056))) )).
% 19.51/19.76 cnf(matrix-2558, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4056) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4057), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4056), _u4058), _u4059))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), c_Groups_Ozero__class_Ozero(_u4056)), _u4059)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4058), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4056), _u4057), _u4059))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4057), c_Groups_Ozero__class_Ozero(_u4056))) )).
% 19.51/19.76 cnf(matrix-2559, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4056) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4057), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4056), _u4058), _u4059))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4056), _u4057), _u4059)), _u4058)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), c_Groups_Ozero__class_Ozero(_u4056)), _u4059)) )).
% 19.51/19.76 cnf(matrix-2560, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4056) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4057), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4056), _u4058), _u4059))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4056), _u4057), _u4059)), _u4058)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4059), c_Groups_Ozero__class_Ozero(_u4056))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4057), c_Groups_Ozero__class_Ozero(_u4056))) )).
% 19.51/19.76 cnf(matrix-2561, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4056) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4057), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4056), _u4058), _u4059))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4056), _u4057), _u4059)), _u4058)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4058), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4056), _u4057), _u4059))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4059), c_Groups_Ozero__class_Ozero(_u4056))) )).
% 19.51/19.76 cnf(matrix-2562, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4056) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4057), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4056), _u4058), _u4059))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4056), _u4057), _u4059)), _u4058)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4058), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4056), _u4057), _u4059))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4056), _u4057), c_Groups_Ozero__class_Ozero(_u4056))) )).
% 19.51/19.76 cnf(matrix-2563, plain, ( ~class_Fields_Ofield(_u4060) | ( _u4061 = c_Groups_Ozero__class_Ozero(_u4060)) | ( _u4062 = c_Groups_Ozero__class_Ozero(_u4060)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4060), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4060), _u4063), _u4061)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4060), _u4064), _u4062)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4060), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4060), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4060), _u4063), _u4062)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4060), _u4064), _u4061))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4060), _u4061), _u4062))) )).
% 19.51/19.76 cnf(matrix-2564, plain, ( ~class_Fields_Ofield(_u4065) | ( _u4066 = c_Groups_Ozero__class_Ozero(_u4065)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4065), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4065), _u4067), _u4066)), _u4068) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4065), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4065), _u4067), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4065), _u4066), _u4068))), _u4066)) )).
% 19.51/19.76 cnf(matrix-2565, plain, ( ~class_Fields_Ofield__inverse__zero(_u4069) | ( _u4070 = c_Groups_Ozero__class_Ozero(_u4069)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4069), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4069), _u4071), _u4070)), _u4072) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4069), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4069), _u4071), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4069), _u4072), _u4070))), _u4070)) )).
% 19.51/19.76 cnf(matrix-2566, plain, ( ~class_Fields_Ofield(_u4073) | ( _u4074 = c_Groups_Ozero__class_Ozero(_u4073)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4073), _u4075), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4073), _u4076), _u4074)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4073), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4073), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4073), _u4074), _u4075)), _u4076)), _u4074)) )).
% 19.51/19.76 cnf(matrix-2567, plain, ( ~class_Fields_Ofield__inverse__zero(_u4077) | ( _u4078 = c_Groups_Ozero__class_Ozero(_u4077)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4077), _u4079), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4077), _u4080), _u4078)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4077), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4077), _u4080), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4077), _u4079), _u4078))), _u4078)) )).
% 19.51/19.76 cnf(matrix-2568, plain, ( ~class_Fields_Ofield(_u4081) | ( _u4082 = c_Groups_Ozero__class_Ozero(_u4081)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4081), _u4083), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4081), _u4084), _u4082)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4081), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4081), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4081), _u4082), _u4083)), _u4084)), _u4082)) )).
% 19.51/19.76 cnf(matrix-2569, plain, ( ~class_Fields_Ofield(_u4085) | ( _u4086 = c_Groups_Ozero__class_Ozero(_u4085)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4085), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4085), _u4087), _u4086)), _u4088) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4085), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4085), _u4087), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4085), _u4086), _u4088))), _u4086)) )).
% 19.51/19.76 cnf(matrix-2570, plain, ( ~class_Fields_Ofield(_u4089) | ( _u4090 = c_Groups_Ozero__class_Ozero(_u4089)) | ( _u4091 = c_Groups_Ozero__class_Ozero(_u4089)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4089), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4089), _u4092), _u4090)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4089), _u4093), _u4091)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4089), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4089), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4089), _u4092), _u4091)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4089), _u4093), _u4090))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4089), _u4090), _u4091))) )).
% 19.51/19.76 cnf(matrix-2571, plain, ( ~class_Fields_Olinordered__field(_u4094) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4094), _u4095), _u4096)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4094), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4094), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4094), _u4095), _u4096)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4094), c_Groups_Oone__class_Oone(_u4094)), c_Groups_Oone__class_Oone(_u4094)))), _u4096)) )).
% 19.51/19.76 cnf(matrix-2572, plain, ( ~class_Fields_Olinordered__field(_u4097) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4097), _u4098), _u4099)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4097), _u4098), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4097), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4097), _u4098), _u4099)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4097), c_Groups_Oone__class_Oone(_u4097)), c_Groups_Oone__class_Oone(_u4097))))) )).
% 19.51/19.76 cnf(matrix-2573, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4100) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4100), _u4101), _u4102)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4100), _u4103), c_Groups_Ozero__class_Ozero(_u4100))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4100), c_Groups_Ozero__class_Ozero(_u4100)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4100), _u4101), _u4102))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4100), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4100), _u4103), _u4101)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4100), _u4103), _u4102))) )).
% 19.51/19.76 cnf(matrix-2574, plain, ( ~class_Fields_Olinordered__field(_u4104) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4104), _u4105), _u4106)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4104), c_Groups_Ozero__class_Ozero(_u4104)), _u4107)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4104), c_Groups_Ozero__class_Ozero(_u4104)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4104), _u4106), _u4105))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4104), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4104), _u4107), _u4106)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4104), _u4107), _u4105))) )).
% 19.51/19.76 cnf(matrix-2575, plain, ( ~class_Fields_Ofield(_u4109) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4110), _u4111)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4110), _u4112)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4110, _u4109), _u4113), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4110, tc_HOL_Obool)), _u4111), _u4112)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4109), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4109), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4110, _u4109), _u4113), _u4111)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4110, _u4109), _u4113), _u4112))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4110, _u4109), _u4113), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4110, tc_HOL_Obool)), _u4111), _u4112)))) | hBOOL(hAPP(hAPP(c_member(_u4110), skolem79(_u4113, _u4112, _u4111, _u4110, _u4109)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4110, tc_HOL_Obool)), _u4111), _u4112))) )).
% 19.51/19.76 cnf(matrix-2576, plain, ( ~class_Fields_Ofield(_u4109) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4110), _u4111)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4110), _u4112)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4110, _u4109), _u4113), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4110, tc_HOL_Obool)), _u4111), _u4112)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4109), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4109), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4110, _u4109), _u4113), _u4111)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4110, _u4109), _u4113), _u4112))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4110, _u4109), _u4113), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4110, tc_HOL_Obool)), _u4111), _u4112)))) | ( hAPP(_u4113, skolem79(_u4113, _u4112, _u4111, _u4110, _u4109)) = c_Groups_Ozero__class_Ozero(_u4109)) )).
% 19.51/19.76 cnf(matrix-2577, plain, ( ~class_Groups_Ocomm__monoid__add(_u4115) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4116), _u4117)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4116, tc_HOL_Obool)), _u4118), _u4117)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4116, _u4115), _u4119), _u4117) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4116, _u4115), _u4119), _u4118)) | hBOOL(hAPP(hAPP(c_member(_u4116), skolem80(_u4119, _u4118, _u4117, _u4116, _u4115)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4116, tc_HOL_Obool)), _u4117), _u4118))) )).
% 19.51/19.76 cnf(matrix-2578, plain, ( ~class_Groups_Ocomm__monoid__add(_u4115) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4116), _u4117)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4116, tc_HOL_Obool)), _u4118), _u4117)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4116, _u4115), _u4119), _u4117) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4116, _u4115), _u4119), _u4118)) | ( hAPP(_u4119, skolem80(_u4119, _u4118, _u4117, _u4116, _u4115)) != c_Groups_Ozero__class_Ozero(_u4115)) )).
% 19.51/19.76 cnf(matrix-2579, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4121) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4121), _u4122), _u4123)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4121), c_Groups_Ozero__class_Ozero(_u4121)), skolem81(_u4123, _u4122, _u4121))) )).
% 19.51/19.76 cnf(matrix-2580, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4121) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4121), _u4122), _u4123)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4121), skolem81(_u4123, _u4122, _u4121)), c_Groups_Oone__class_Oone(_u4121))) )).
% 19.51/19.76 cnf(matrix-2581, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4121) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4121), _u4122), _u4123)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4121), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4121), skolem81(_u4123, _u4122, _u4121)), _u4122)), _u4123)) )).
% 19.51/19.76 cnf(matrix-2582, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4125), _u4126)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4125, tc_Nat_Onat), _u4127), _u4126))) | hBOOL(hAPP(hAPP(c_member(_u4125), skolem82(_u4127, _u4126, _u4125)), _u4126)) )).
% 19.51/19.76 cnf(matrix-2583, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4125), _u4126)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4125, tc_Nat_Onat), _u4127), _u4126))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u4127, skolem82(_u4127, _u4126, _u4125)))) )).
% 19.51/19.76 cnf(matrix-2584, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4129, tc_Nat_Onat), _u4130), _u4131) != hAPP(c_Nat_OSuc, _u4132)) | hBOOL(hAPP(hAPP(c_member(_u4129), skolem83(_u4132, _u4131, _u4130, _u4129)), _u4131)) )).
% 19.51/19.76 cnf(matrix-2585, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4129, tc_Nat_Onat), _u4130), _u4131) != hAPP(c_Nat_OSuc, _u4132)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u4130, skolem83(_u4132, _u4131, _u4130, _u4129)))) )).
% 19.51/19.76 cnf(matrix-2586, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4134), _u4135)) | ( hAPP(c_Finite__Set_Ocard(_u4134), _u4135) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u4134), skolem84(_u4135, _u4134)), _u4135)) )).
% 19.51/19.76 cnf(matrix-2587, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4134), _u4135)) | ( hAPP(c_Finite__Set_Ocard(_u4134), _u4135) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2588, plain, ( ~class_Lattices_Osemilattice__inf(_u4137) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4137), _u4138)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4137), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4137), _u4139), _u4140)), hAPP(hAPP(c_Finite__Set_Ofold(_u4137, _u4137, c_Lattices_Osemilattice__inf__class_Oinf(_u4137)), _u4140), _u4138))) | hBOOL(hAPP(hAPP(c_member(_u4137), skolem85(_u4140, _u4139, _u4138, _u4137)), _u4138)) )).
% 19.51/19.76 cnf(matrix-2589, plain, ( ~class_Lattices_Osemilattice__inf(_u4137) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4137), _u4138)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4137), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u4137), _u4139), _u4140)), hAPP(hAPP(c_Finite__Set_Ofold(_u4137, _u4137, c_Lattices_Osemilattice__inf__class_Oinf(_u4137)), _u4140), _u4138))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4137), _u4139), skolem85(_u4140, _u4139, _u4138, _u4137))) )).
% 19.51/19.76 cnf(matrix-2590, plain, ( ~class_Lattices_Osemilattice__sup(_u4142) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4142), _u4143)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4142), hAPP(hAPP(c_Finite__Set_Ofold(_u4142, _u4142, c_Lattices_Osemilattice__sup__class_Osup(_u4142)), _u4145), _u4143)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4142), _u4144), _u4145))) | hBOOL(hAPP(hAPP(c_member(_u4142), skolem86(_u4145, _u4144, _u4143, _u4142)), _u4143)) )).
% 19.51/19.76 cnf(matrix-2591, plain, ( ~class_Lattices_Osemilattice__sup(_u4142) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4142), _u4143)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4142), hAPP(hAPP(c_Finite__Set_Ofold(_u4142, _u4142, c_Lattices_Osemilattice__sup__class_Osup(_u4142)), _u4145), _u4143)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u4142), _u4144), _u4145))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4142), skolem86(_u4145, _u4144, _u4143, _u4142)), _u4144)) )).
% 19.51/19.76 cnf(matrix-2592, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4146))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4146) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4146)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 19.51/19.76 cnf(matrix-2593, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4148), _u4149), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u4148, tc_HOL_Obool), _u4150))) | hBOOL(hAPP(hAPP(c_member(_u4148), _u4149), skolem87(_u4150, _u4149, _u4148))) )).
% 19.51/19.76 cnf(matrix-2594, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u4148), _u4149), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u4148, tc_HOL_Obool), _u4150))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u4148, tc_HOL_Obool)), skolem87(_u4150, _u4149, _u4148)), _u4150)) )).
% 19.51/19.76 cnf(matrix-2595, plain, ( ~class_Rings_Olinordered__semidom(_u4152) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4152), c_Groups_Ozero__class_Ozero(_u4152)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4153, _u4152), _u4155), _u4154))) | hBOOL(hAPP(hAPP(c_member(_u4153), skolem88(_u4155, _u4154, _u4153, _u4152)), _u4154)) )).
% 19.51/19.76 cnf(matrix-2596, plain, ( ~class_Rings_Olinordered__semidom(_u4152) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4152), c_Groups_Ozero__class_Ozero(_u4152)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4153, _u4152), _u4155), _u4154))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4152), c_Groups_Ozero__class_Ozero(_u4152)), hAPP(_u4155, skolem88(_u4155, _u4154, _u4153, _u4152)))) )).
% 19.51/19.76 cnf(matrix-2597, plain, ( ~class_Rings_Olinordered__semidom(_u4157) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4157), c_Groups_Ozero__class_Ozero(_u4157)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4158, _u4157), _u4160), _u4159))) | hBOOL(hAPP(hAPP(c_member(_u4158), skolem89(_u4160, _u4159, _u4158, _u4157)), _u4159)) )).
% 19.51/19.76 cnf(matrix-2598, plain, ( ~class_Rings_Olinordered__semidom(_u4157) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4157), c_Groups_Ozero__class_Ozero(_u4157)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u4158, _u4157), _u4160), _u4159))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4157), c_Groups_Ozero__class_Ozero(_u4157)), hAPP(_u4160, skolem89(_u4160, _u4159, _u4158, _u4157)))) )).
% 19.51/19.76 cnf(matrix-2599, plain, ( ~class_Orderings_Olinorder(_u4161) | ( _u4162 = c_Orderings_Obot__class_Obot(tc_fun(_u4161, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4161, tc_HOL_Obool)), _u4162), _u4163)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4161), _u4163)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4161), hAPP(c_Finite__Set_Ofold1(_u4161, c_Orderings_Oord__class_Omin(_u4161)), _u4163)), hAPP(c_Finite__Set_Ofold1(_u4161, c_Orderings_Oord__class_Omin(_u4161)), _u4162))) )).
% 19.51/19.76 cnf(matrix-2600, plain, ( ~class_Fields_Olinordered__field(_u4165) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4165), _u4166), _u4167)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4165), c_Groups_Ozero__class_Ozero(_u4165)), skolem90(_u4167, _u4166, _u4165))) )).
% 19.51/19.76 cnf(matrix-2601, plain, ( ~class_Fields_Olinordered__field(_u4165) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4165), _u4166), _u4167)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4165), _u4166), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4165), _u4167), skolem90(_u4167, _u4166, _u4165)))) )).
% 19.51/19.76 cnf(matrix-2602, plain, ( ( c_Nitpick_Opair__box_Opair__box__size(_u4168, _u4169, _u4170, _u4171, c_Nitpick_Opair__box_OPairBox(_u4168, _u4169, _u4172, _u4173)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u4170, _u4172)), hAPP(_u4171, _u4173))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 19.51/19.76 cnf(matrix-2603, plain, ( ( c_Nitpick_Opair__box_OPairBox(_u4180, _u4182, _u4184, _u4186) != c_Nitpick_Opair__box_OPairBox(_u4180, _u4182, _u4188, _u4190)) | ( _u4184 = _u4188) )).
% 19.51/19.76 cnf(matrix-2604, plain, ( ( c_Nitpick_Opair__box_OPairBox(_u4180, _u4182, _u4184, _u4186) != c_Nitpick_Opair__box_OPairBox(_u4180, _u4182, _u4188, _u4190)) | ( _u4186 = _u4190) )).
% 19.51/19.76 cnf(matrix-2605, plain, ( ( _u4185 != _u4189) | ( _u4187 != _u4191) | ( c_Nitpick_Opair__box_OPairBox(_u4181, _u4183, _u4185, _u4187) = c_Nitpick_Opair__box_OPairBox(_u4181, _u4183, _u4189, _u4191)) )).
% 19.51/19.76 cnf(matrix-2606, plain, ( ~class_Orderings_Olinorder(_u4192) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4192), _u4193), _u4193) = _u4193) )).
% 19.51/19.76 cnf(matrix-2607, plain, ( ~class_Orderings_Olinorder(_u4194) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4194), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4194), _u4195), _u4196)), _u4197) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4194), _u4195), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4194), _u4196), _u4197))) )).
% 19.51/19.76 cnf(matrix-2608, plain, ( ~class_Orderings_Olinorder(_u4198) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4198), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4198), _u4199), _u4200)), _u4201) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4198), _u4199), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4198), _u4200), _u4201))) )).
% 19.51/19.76 cnf(matrix-2609, plain, ( ~class_Orderings_Olinorder(_u4202) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4202), _u4203), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4202), _u4204), _u4205)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4202), _u4204), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4202), _u4203), _u4205))) )).
% 19.51/19.76 cnf(matrix-2610, plain, ( ~class_Orderings_Olinorder(_u4206) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4206), _u4207), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4206), _u4208), _u4209)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4206), _u4208), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4206), _u4207), _u4209))) )).
% 19.51/19.76 cnf(matrix-2611, plain, ( ~class_Orderings_Olinorder(_u4210) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4210), _u4211), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4210), _u4211), _u4212)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4210), _u4211), _u4212)) )).
% 19.51/19.76 cnf(matrix-2612, plain, ( ~class_Orderings_Olinorder(_u4213) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4213), _u4214), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4213), _u4214), _u4215)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4213), _u4214), _u4215)) )).
% 19.51/19.76 cnf(matrix-2613, plain, ( ~class_Orderings_Olinorder(_u4216) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4216), _u4217), _u4218) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4216), _u4218), _u4217)) )).
% 19.51/19.76 cnf(matrix-2614, plain, ( ~class_Orderings_Olinorder(_u4219) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4219), _u4220), _u4221) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4219), _u4221), _u4220)) )).
% 19.51/19.76 cnf(matrix-2615, plain, ( ~class_Orderings_Olinorder(_u4222) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4222), _u4223), _u4223) = _u4223) )).
% 19.51/19.76 cnf(matrix-2616, plain, ( ~class_Int_Onumber(_u4224) | ~class_Orderings_Oord(_u4224) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4224), hAPP(c_Int_Onumber__class_Onumber__of(_u4224), _u4225)), hAPP(c_Int_Onumber__class_Onumber__of(_u4224), _u4226))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4224), hAPP(c_Int_Onumber__class_Onumber__of(_u4224), _u4225)), hAPP(c_Int_Onumber__class_Onumber__of(_u4224), _u4226)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4224), _u4225)) )).
% 19.51/19.76 cnf(matrix-2617, plain, ( ~class_Int_Onumber(_u4224) | ~class_Orderings_Oord(_u4224) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4224), hAPP(c_Int_Onumber__class_Onumber__of(_u4224), _u4225)), hAPP(c_Int_Onumber__class_Onumber__of(_u4224), _u4226))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4224), hAPP(c_Int_Onumber__class_Onumber__of(_u4224), _u4225)), hAPP(c_Int_Onumber__class_Onumber__of(_u4224), _u4226)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4224), _u4226)) )).
% 19.51/19.76 cnf(matrix-2618, plain, ( ~class_Int_Onumber__ring(_u4227) | ~class_Int_Oring__char__0(_u4227) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4227), _u4228) != hAPP(c_Int_Onumber__class_Onumber__of(_u4227), _u4229)) | ( _u4228 = _u4229) )).
% 19.51/19.76 cnf(matrix-2619, plain, ( ~class_Int_Onumber__ring(_u4227) | ~class_Int_Oring__char__0(_u4227) | ( _u4228 != _u4229) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4227), _u4228) = hAPP(c_Int_Onumber__class_Onumber__of(_u4227), _u4229)) )).
% 19.51/19.76 cnf(matrix-2620, plain, ( ~class_Int_Onumber(_u4230) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4230), _u4231) != _u4232) | ( _u4232 = hAPP(c_Int_Onumber__class_Onumber__of(_u4230), _u4231)) )).
% 19.51/19.76 cnf(matrix-2621, plain, ( ~class_Int_Onumber(_u4230) | ( _u4232 != hAPP(c_Int_Onumber__class_Onumber__of(_u4230), _u4231)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4230), _u4231) = _u4232) )).
% 19.51/19.76 cnf(matrix-2622, plain, ( ~class_Orderings_Olinorder(_u4233) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4233), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4233), _u4234), _u4235)), _u4234)) )).
% 19.51/19.76 cnf(matrix-2623, plain, ( ~class_Orderings_Olinorder(_u4236) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4236), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4236), _u4237), _u4238)), _u4238)) )).
% 19.51/19.76 cnf(matrix-2624, plain, ( ~class_Orderings_Olinorder(_u4239) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4239), _u4240), _u4241)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4239), _u4240), _u4241) = _u4240) )).
% 19.51/19.76 cnf(matrix-2625, plain, ( ~class_Orderings_Olinorder(_u4239) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4239), _u4240), _u4241) != _u4240) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4239), _u4240), _u4241)) )).
% 19.51/19.76 cnf(matrix-2626, plain, ( ~class_Orderings_Olinorder(_u4242) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4242), _u4243), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4242), _u4244), _u4245))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4242), _u4243), _u4244)) )).
% 19.51/19.76 cnf(matrix-2627, plain, ( ~class_Orderings_Olinorder(_u4242) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4242), _u4243), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4242), _u4244), _u4245))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4242), _u4243), _u4245)) )).
% 19.51/19.76 cnf(matrix-2628, plain, ( ~class_Orderings_Olinorder(_u4242) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4242), _u4243), _u4244)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4242), _u4243), _u4245)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4242), _u4243), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4242), _u4244), _u4245))) )).
% 19.51/19.76 cnf(matrix-2629, plain, ( ~class_Orderings_Olinorder(_u4246) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4246), _u4247), _u4248)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4246), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4246), _u4247), _u4249)), _u4248)) )).
% 19.51/19.76 cnf(matrix-2630, plain, ( ~class_Orderings_Olinorder(_u4250) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4250), _u4251), _u4252)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4250), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4250), _u4253), _u4251)), _u4252)) )).
% 19.51/19.76 cnf(matrix-2631, plain, ( ~class_Orderings_Olinorder(_u4254) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4254), _u4255), _u4256)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4254), _u4255), _u4256) = _u4255) )).
% 19.51/19.76 cnf(matrix-2632, plain, ( ~class_Orderings_Olinorder(_u4257) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4257), _u4258), _u4259)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4257), _u4259), _u4258) = _u4258) )).
% 19.51/19.76 cnf(matrix-2633, plain, ( ~class_Orderings_Olinorder(_u4260) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4260), _u4261), _u4262)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4260), _u4261), _u4263)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4260), _u4261), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4260), _u4262), _u4263))) )).
% 19.51/19.76 cnf(matrix-2634, plain, ( ~class_Orderings_Olinorder(_u4264) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4264), _u4265), _u4266)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4264), _u4265), _u4267)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4264), _u4265), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4264), _u4266), _u4267))) )).
% 19.51/19.76 cnf(matrix-2635, plain, ( ~class_Orderings_Olinorder(_u4268) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4268), _u4269), _u4270)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4268), _u4271), _u4272)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4268), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4268), _u4269), _u4271)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4268), _u4270), _u4272))) )).
% 19.51/19.76 cnf(matrix-2636, plain, ( ~class_Orderings_Olinorder(_u4273) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4273), _u4274), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4273), _u4275), _u4276))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4273), _u4274), _u4275)) )).
% 19.51/19.76 cnf(matrix-2637, plain, ( ~class_Orderings_Olinorder(_u4273) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4273), _u4274), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4273), _u4275), _u4276))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4273), _u4274), _u4276)) )).
% 19.51/19.76 cnf(matrix-2638, plain, ( ~class_Orderings_Olinorder(_u4277) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4277), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4277), _u4278), _u4279)), _u4280)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4277), _u4278), _u4280)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4277), _u4279), _u4280)) )).
% 19.51/19.76 cnf(matrix-2639, plain, ( ~class_Orderings_Olinorder(_u4277) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4277), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4277), _u4278), _u4279)), _u4280)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4277), _u4278), _u4280)) )).
% 19.51/19.76 cnf(matrix-2640, plain, ( ~class_Orderings_Olinorder(_u4277) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4277), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4277), _u4278), _u4279)), _u4280)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4277), _u4279), _u4280)) )).
% 19.51/19.76 cnf(matrix-2641, plain, ( ~class_Orderings_Olinorder(_u4281) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4281), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4281), _u4282), _u4283)), _u4284)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4281), _u4282), _u4284)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4281), _u4283), _u4284)) )).
% 19.51/19.76 cnf(matrix-2642, plain, ( ~class_Orderings_Olinorder(_u4281) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4281), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4281), _u4282), _u4283)), _u4284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4281), _u4282), _u4284)) )).
% 19.51/19.76 cnf(matrix-2643, plain, ( ~class_Orderings_Olinorder(_u4281) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4281), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4281), _u4282), _u4283)), _u4284)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4281), _u4283), _u4284)) )).
% 19.51/19.76 cnf(matrix-2644, plain, ( ~class_Orderings_Olinorder(_u4285) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4285), _u4286), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4285), _u4287), _u4288))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4285), _u4286), _u4287)) )).
% 19.51/19.76 cnf(matrix-2645, plain, ( ~class_Orderings_Olinorder(_u4285) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4285), _u4286), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4285), _u4287), _u4288))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4285), _u4286), _u4288)) )).
% 19.51/19.76 cnf(matrix-2646, plain, ( ~class_Orderings_Olinorder(_u4285) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4285), _u4286), _u4287)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4285), _u4286), _u4288)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4285), _u4286), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4285), _u4287), _u4288))) )).
% 19.51/19.76 cnf(matrix-2647, plain, ( ~class_Orderings_Olinorder(_u4289) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4289), _u4290), _u4291)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4289), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4289), _u4292), _u4290)), _u4291)) )).
% 19.51/19.76 cnf(matrix-2648, plain, ( ~class_Orderings_Olinorder(_u4293) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4293), _u4294), _u4295)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4293), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4293), _u4294), _u4296)), _u4295)) )).
% 19.51/19.76 cnf(matrix-2649, plain, ( ~class_Int_Onumber__ring(_u4297) | ~class_Rings_Olinordered__idom(_u4297) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4297), hAPP(c_Int_Onumber__class_Onumber__of(_u4297), _u4298)), hAPP(c_Int_Onumber__class_Onumber__of(_u4297), _u4299))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4298), _u4299)) )).
% 19.51/19.76 cnf(matrix-2650, plain, ( ~class_Int_Onumber__ring(_u4297) | ~class_Rings_Olinordered__idom(_u4297) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4298), _u4299)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4297), hAPP(c_Int_Onumber__class_Onumber__of(_u4297), _u4298)), hAPP(c_Int_Onumber__class_Onumber__of(_u4297), _u4299))) )).
% 19.51/19.76 cnf(matrix-2651, plain, ( ~class_Int_Onumber__ring(_u4300) | ~class_Rings_Olinordered__idom(_u4300) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4300), hAPP(c_Int_Onumber__class_Onumber__of(_u4300), _u4301)), hAPP(c_Int_Onumber__class_Onumber__of(_u4300), _u4302))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4301), _u4302)) )).
% 19.51/19.76 cnf(matrix-2652, plain, ( ~class_Int_Onumber__ring(_u4300) | ~class_Rings_Olinordered__idom(_u4300) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4301), _u4302)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4300), hAPP(c_Int_Onumber__class_Onumber__of(_u4300), _u4301)), hAPP(c_Int_Onumber__class_Onumber__of(_u4300), _u4302))) )).
% 19.51/19.76 cnf(matrix-2653, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u4303) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4303), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4303), _u4304), _u4305)), _u4306) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4303), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4303), _u4304), _u4306)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4303), _u4305), _u4306))) )).
% 19.51/19.76 cnf(matrix-2654, plain, ( ~class_Groups_Oordered__ab__group__add(_u4307) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4307), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4307), _u4308), _u4309)), _u4310) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4307), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4307), _u4308), _u4310)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4307), _u4309), _u4310))) )).
% 19.51/19.76 cnf(matrix-2655, plain, ( ~class_Int_Onumber__ring(_u4311) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4311), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4312), _u4313)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4311), hAPP(c_Int_Onumber__class_Onumber__of(_u4311), _u4312)), hAPP(c_Int_Onumber__class_Onumber__of(_u4311), _u4313))) )).
% 19.51/19.76 cnf(matrix-2656, plain, ( ~class_Int_Onumber__ring(_u4314) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4314), hAPP(c_Int_Onumber__class_Onumber__of(_u4314), _u4315)), hAPP(c_Int_Onumber__class_Onumber__of(_u4314), _u4316)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4314), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4315), _u4316))) )).
% 19.51/19.76 cnf(matrix-2657, plain, ( ~class_Int_Onumber__ring(_u4317) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4317), hAPP(c_Int_Onumber__class_Onumber__of(_u4317), _u4318)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4317), hAPP(c_Int_Onumber__class_Onumber__of(_u4317), _u4319)), _u4320)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4317), hAPP(c_Int_Onumber__class_Onumber__of(_u4317), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4318), _u4319))), _u4320)) )).
% 19.51/19.76 cnf(matrix-2658, plain, ( ~class_Int_Onumber__ring(_u4321) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4321), hAPP(c_Int_Onumber__class_Onumber__of(_u4321), _u4322)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4321), hAPP(c_Int_Onumber__class_Onumber__of(_u4321), _u4323)), _u4324)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4321), hAPP(c_Int_Onumber__class_Onumber__of(_u4321), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4322), _u4323))), _u4324)) )).
% 19.51/19.76 cnf(matrix-2659, plain, ( ~class_Int_Onumber__ring(_u4325) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4325), hAPP(c_Int_Onumber__class_Onumber__of(_u4325), _u4326)), hAPP(c_Int_Onumber__class_Onumber__of(_u4325), _u4327)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4325), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4326), _u4327))) )).
% 19.51/19.76 cnf(matrix-2660, plain, ( ~class_Int_Onumber__ring(_u4328) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4328), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4329), _u4330)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4328), hAPP(c_Int_Onumber__class_Onumber__of(_u4328), _u4329)), hAPP(c_Int_Onumber__class_Onumber__of(_u4328), _u4330))) )).
% 19.51/19.76 cnf(matrix-2661, plain, ( ~class_Int_Onumber__ring(_u4331) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4331), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4332), _u4333)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4331), hAPP(c_Int_Onumber__class_Onumber__of(_u4331), _u4332)), hAPP(c_Int_Onumber__class_Onumber__of(_u4331), _u4333))) )).
% 19.51/19.76 cnf(matrix-2662, plain, ( ~class_Lattices_Osemilattice__inf(_u4334) | ~class_Orderings_Olinorder(_u4334) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u4334) = c_Orderings_Oord__class_Omin(_u4334)) )).
% 19.51/19.76 cnf(matrix-2663, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4335) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2664, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u4336), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.51/19.76 cnf(matrix-2665, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4337)), hAPP(c_Nat_OSuc, _u4338)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u4337), _u4338))) )).
% 19.51/19.76 cnf(matrix-2666, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4339), _u4340)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4341), _u4340)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u4339), _u4341)), _u4340)) )).
% 19.51/19.76 cnf(matrix-2667, plain, ( ~class_Orderings_Olinorder(_u4342) | c_Finite__Set_Ofun__left__comm__idem(_u4342, _u4342, c_Orderings_Oord__class_Omin(_u4342)) )).
% 19.51/19.76 cnf(matrix-2668, plain, ( ~class_Int_Onumber(_u4343) | ~class_Orderings_Olinorder(_u4343) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4343), hAPP(c_Int_Onumber__class_Onumber__of(_u4343), _u4344)), hAPP(c_Int_Onumber__class_Onumber__of(_u4343), _u4345))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4343), hAPP(c_Int_Onumber__class_Onumber__of(_u4343), _u4345)), hAPP(c_Int_Onumber__class_Onumber__of(_u4343), _u4344))) )).
% 19.51/19.76 cnf(matrix-2669, plain, ( ~class_Int_Onumber(_u4343) | ~class_Orderings_Olinorder(_u4343) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4343), hAPP(c_Int_Onumber__class_Onumber__of(_u4343), _u4345)), hAPP(c_Int_Onumber__class_Onumber__of(_u4343), _u4344))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4343), hAPP(c_Int_Onumber__class_Onumber__of(_u4343), _u4344)), hAPP(c_Int_Onumber__class_Onumber__of(_u4343), _u4345))) )).
% 19.51/19.76 cnf(matrix-2670, plain, ( ~class_Int_Onumber(_u4346) | ~class_Rings_Osemiring(_u4346) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4346), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4346), _u4347), _u4348)), hAPP(c_Int_Onumber__class_Onumber__of(_u4346), _u4349)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4346), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4346), _u4347), hAPP(c_Int_Onumber__class_Onumber__of(_u4346), _u4349))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4346), _u4348), hAPP(c_Int_Onumber__class_Onumber__of(_u4346), _u4349)))) )).
% 19.51/19.76 cnf(matrix-2671, plain, ( ~class_Int_Onumber(_u4350) | ~class_Rings_Osemiring(_u4350) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4350), hAPP(c_Int_Onumber__class_Onumber__of(_u4350), _u4351)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4350), _u4352), _u4353)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4350), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4350), hAPP(c_Int_Onumber__class_Onumber__of(_u4350), _u4351)), _u4352)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4350), hAPP(c_Int_Onumber__class_Onumber__of(_u4350), _u4351)), _u4353))) )).
% 19.51/19.76 cnf(matrix-2672, plain, ( ~class_Int_Onumber__ring(_u4354) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4354), hAPP(c_Int_Onumber__class_Onumber__of(_u4354), _u4355)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4354), hAPP(c_Int_Onumber__class_Onumber__of(_u4354), _u4356)), _u4357)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4354), hAPP(c_Int_Onumber__class_Onumber__of(_u4354), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4355), _u4356))), _u4357)) )).
% 19.51/19.76 cnf(matrix-2673, plain, ( ~class_Int_Onumber(_u4358) | ~class_Rings_Oring(_u4358) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4358), hAPP(c_Int_Onumber__class_Onumber__of(_u4358), _u4359)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4358), _u4360), _u4361)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4358), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4358), hAPP(c_Int_Onumber__class_Onumber__of(_u4358), _u4359)), _u4360)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4358), hAPP(c_Int_Onumber__class_Onumber__of(_u4358), _u4359)), _u4361))) )).
% 19.51/19.76 cnf(matrix-2674, plain, ( ~class_Int_Onumber(_u4362) | ~class_Rings_Oring(_u4362) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4362), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4362), _u4363), _u4364)), hAPP(c_Int_Onumber__class_Onumber__of(_u4362), _u4365)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4362), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4362), _u4363), hAPP(c_Int_Onumber__class_Onumber__of(_u4362), _u4365))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4362), _u4364), hAPP(c_Int_Onumber__class_Onumber__of(_u4362), _u4365)))) )).
% 19.51/19.76 cnf(matrix-2675, plain, ( ~class_Int_Onumber__ring(_u4366) | hBOOL(hAPP(hAPP(c_member(_u4366), hAPP(c_Int_Onumber__class_Onumber__of(_u4366), _u4367)), c_Int_Oring__1__class_OInts(_u4366))) )).
% 19.51/19.76 cnf(matrix-2676, plain, ( ~class_Fields_Ofield__inverse__zero(_u4368) | ~class_Int_Onumber(_u4368) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4368), _u4369), hAPP(c_Int_Onumber__class_Onumber__of(_u4368), _u4370)) != _u4371) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4368), _u4370) = c_Groups_Ozero__class_Ozero(_u4368)) | ( _u4369 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4368), _u4371), hAPP(c_Int_Onumber__class_Onumber__of(_u4368), _u4370))) )).
% 19.51/19.76 cnf(matrix-2677, plain, ( ~class_Fields_Ofield__inverse__zero(_u4368) | ~class_Int_Onumber(_u4368) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4368), _u4369), hAPP(c_Int_Onumber__class_Onumber__of(_u4368), _u4370)) != _u4371) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4368), _u4370) != c_Groups_Ozero__class_Ozero(_u4368)) | ( _u4371 = c_Groups_Ozero__class_Ozero(_u4368)) )).
% 19.51/19.76 cnf(matrix-2678, plain, ( ~class_Fields_Ofield__inverse__zero(_u4368) | ~class_Int_Onumber(_u4368) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4368), _u4369), hAPP(c_Int_Onumber__class_Onumber__of(_u4368), _u4370)) = _u4371) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4368), _u4370) != c_Groups_Ozero__class_Ozero(_u4368)) | ( _u4371 != c_Groups_Ozero__class_Ozero(_u4368)) )).
% 19.51/19.76 cnf(matrix-2679, plain, ( ~class_Fields_Ofield__inverse__zero(_u4368) | ~class_Int_Onumber(_u4368) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4368), _u4369), hAPP(c_Int_Onumber__class_Onumber__of(_u4368), _u4370)) = _u4371) | ( _u4369 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4368), _u4371), hAPP(c_Int_Onumber__class_Onumber__of(_u4368), _u4370))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4368), _u4370) = c_Groups_Ozero__class_Ozero(_u4368)) )).
% 19.51/19.76 cnf(matrix-2680, plain, ( ~class_Fields_Ofield__inverse__zero(_u4368) | ~class_Int_Onumber(_u4368) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4368), _u4369), hAPP(c_Int_Onumber__class_Onumber__of(_u4368), _u4370)) = _u4371) | ( _u4369 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4368), _u4371), hAPP(c_Int_Onumber__class_Onumber__of(_u4368), _u4370))) | ( _u4371 != c_Groups_Ozero__class_Ozero(_u4368)) )).
% 19.51/19.76 cnf(matrix-2681, plain, ( ~class_Fields_Ofield__inverse__zero(_u4372) | ~class_Int_Onumber(_u4372) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4372), _u4373), _u4374) != hAPP(c_Int_Onumber__class_Onumber__of(_u4372), _u4375)) | ( _u4374 = c_Groups_Ozero__class_Ozero(_u4372)) | ( _u4373 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4372), hAPP(c_Int_Onumber__class_Onumber__of(_u4372), _u4375)), _u4374)) )).
% 19.51/19.76 cnf(matrix-2682, plain, ( ~class_Fields_Ofield__inverse__zero(_u4372) | ~class_Int_Onumber(_u4372) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4372), _u4373), _u4374) != hAPP(c_Int_Onumber__class_Onumber__of(_u4372), _u4375)) | ( _u4374 != c_Groups_Ozero__class_Ozero(_u4372)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4372), _u4375) = c_Groups_Ozero__class_Ozero(_u4372)) )).
% 19.51/19.76 cnf(matrix-2683, plain, ( ~class_Fields_Ofield__inverse__zero(_u4372) | ~class_Int_Onumber(_u4372) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4372), _u4373), _u4374) = hAPP(c_Int_Onumber__class_Onumber__of(_u4372), _u4375)) | ( _u4374 != c_Groups_Ozero__class_Ozero(_u4372)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4372), _u4375) != c_Groups_Ozero__class_Ozero(_u4372)) )).
% 19.51/19.76 cnf(matrix-2684, plain, ( ~class_Fields_Ofield__inverse__zero(_u4372) | ~class_Int_Onumber(_u4372) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4372), _u4373), _u4374) = hAPP(c_Int_Onumber__class_Onumber__of(_u4372), _u4375)) | ( _u4373 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4372), hAPP(c_Int_Onumber__class_Onumber__of(_u4372), _u4375)), _u4374)) | ( _u4374 = c_Groups_Ozero__class_Ozero(_u4372)) )).
% 19.51/19.76 cnf(matrix-2685, plain, ( ~class_Fields_Ofield__inverse__zero(_u4372) | ~class_Int_Onumber(_u4372) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4372), _u4373), _u4374) = hAPP(c_Int_Onumber__class_Onumber__of(_u4372), _u4375)) | ( _u4373 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4372), hAPP(c_Int_Onumber__class_Onumber__of(_u4372), _u4375)), _u4374)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4372), _u4375) != c_Groups_Ozero__class_Ozero(_u4372)) )).
% 19.51/19.76 cnf(matrix-2686, plain, ( ~class_Fields_Ofield__inverse__zero(_u4376) | ~class_Int_Onumber(_u4376) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4376), _u4377) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4376), _u4378), _u4379)) | ( _u4379 = c_Groups_Ozero__class_Ozero(_u4376)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4376), hAPP(c_Int_Onumber__class_Onumber__of(_u4376), _u4377)), _u4379) = _u4378) )).
% 19.51/19.76 cnf(matrix-2687, plain, ( ~class_Fields_Ofield__inverse__zero(_u4376) | ~class_Int_Onumber(_u4376) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4376), _u4377) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4376), _u4378), _u4379)) | ( _u4379 != c_Groups_Ozero__class_Ozero(_u4376)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4376), _u4377) = c_Groups_Ozero__class_Ozero(_u4376)) )).
% 19.51/19.76 cnf(matrix-2688, plain, ( ~class_Fields_Ofield__inverse__zero(_u4376) | ~class_Int_Onumber(_u4376) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4376), _u4377) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4376), _u4378), _u4379)) | ( _u4379 != c_Groups_Ozero__class_Ozero(_u4376)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4376), _u4377) != c_Groups_Ozero__class_Ozero(_u4376)) )).
% 19.51/19.76 cnf(matrix-2689, plain, ( ~class_Fields_Ofield__inverse__zero(_u4376) | ~class_Int_Onumber(_u4376) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4376), _u4377) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4376), _u4378), _u4379)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4376), hAPP(c_Int_Onumber__class_Onumber__of(_u4376), _u4377)), _u4379) != _u4378) | ( _u4379 = c_Groups_Ozero__class_Ozero(_u4376)) )).
% 19.51/19.76 cnf(matrix-2690, plain, ( ~class_Fields_Ofield__inverse__zero(_u4376) | ~class_Int_Onumber(_u4376) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4376), _u4377) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4376), _u4378), _u4379)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4376), hAPP(c_Int_Onumber__class_Onumber__of(_u4376), _u4377)), _u4379) != _u4378) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4376), _u4377) != c_Groups_Ozero__class_Ozero(_u4376)) )).
% 19.51/19.76 cnf(matrix-2691, plain, ( ~class_Fields_Ofield__inverse__zero(_u4380) | ~class_Int_Onumber(_u4380) | ( _u4381 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4380), _u4382), hAPP(c_Int_Onumber__class_Onumber__of(_u4380), _u4383))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4380), _u4383) = c_Groups_Ozero__class_Ozero(_u4380)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4380), _u4381), hAPP(c_Int_Onumber__class_Onumber__of(_u4380), _u4383)) = _u4382) )).
% 19.51/19.76 cnf(matrix-2692, plain, ( ~class_Fields_Ofield__inverse__zero(_u4380) | ~class_Int_Onumber(_u4380) | ( _u4381 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4380), _u4382), hAPP(c_Int_Onumber__class_Onumber__of(_u4380), _u4383))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4380), _u4383) != c_Groups_Ozero__class_Ozero(_u4380)) | ( _u4381 = c_Groups_Ozero__class_Ozero(_u4380)) )).
% 19.51/19.76 cnf(matrix-2693, plain, ( ~class_Fields_Ofield__inverse__zero(_u4380) | ~class_Int_Onumber(_u4380) | ( _u4381 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4380), _u4382), hAPP(c_Int_Onumber__class_Onumber__of(_u4380), _u4383))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4380), _u4383) != c_Groups_Ozero__class_Ozero(_u4380)) | ( _u4381 != c_Groups_Ozero__class_Ozero(_u4380)) )).
% 19.51/19.76 cnf(matrix-2694, plain, ( ~class_Fields_Ofield__inverse__zero(_u4380) | ~class_Int_Onumber(_u4380) | ( _u4381 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4380), _u4382), hAPP(c_Int_Onumber__class_Onumber__of(_u4380), _u4383))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4380), _u4381), hAPP(c_Int_Onumber__class_Onumber__of(_u4380), _u4383)) != _u4382) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4380), _u4383) = c_Groups_Ozero__class_Ozero(_u4380)) )).
% 19.51/19.76 cnf(matrix-2695, plain, ( ~class_Fields_Ofield__inverse__zero(_u4380) | ~class_Int_Onumber(_u4380) | ( _u4381 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4380), _u4382), hAPP(c_Int_Onumber__class_Onumber__of(_u4380), _u4383))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4380), _u4381), hAPP(c_Int_Onumber__class_Onumber__of(_u4380), _u4383)) != _u4382) | ( _u4381 != c_Groups_Ozero__class_Ozero(_u4380)) )).
% 19.51/19.76 cnf(matrix-2696, plain, ( ~class_Orderings_Olinorder(_u4384) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4384), _u4385)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u4384, _u4384, c_Orderings_Oord__class_Omin(_u4384)), _u4386), hAPP(hAPP(c_Set_Oinsert(_u4384), _u4387), _u4385)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4384), _u4387), hAPP(hAPP(c_Finite__Set_Ofold(_u4384, _u4384, c_Orderings_Oord__class_Omin(_u4384)), _u4386), _u4385))) )).
% 19.51/19.76 cnf(matrix-2697, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4388) | ~class_Int_Onumber(_u4388) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4389), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4388), _u4390), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), c_Groups_Ozero__class_Ozero(_u4388)), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4388), _u4389), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391))), _u4390)) )).
% 19.51/19.76 cnf(matrix-2698, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4388) | ~class_Int_Onumber(_u4388) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4389), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4388), _u4390), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), c_Groups_Ozero__class_Ozero(_u4388)), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)), c_Groups_Ozero__class_Ozero(_u4388))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4390), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4388), _u4389), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)))) )).
% 19.51/19.76 cnf(matrix-2699, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4388) | ~class_Int_Onumber(_u4388) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4389), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4388), _u4390), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), c_Groups_Ozero__class_Ozero(_u4388)), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)), c_Groups_Ozero__class_Ozero(_u4388))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4389), c_Groups_Ozero__class_Ozero(_u4388))) )).
% 19.51/19.76 cnf(matrix-2700, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4388) | ~class_Int_Onumber(_u4388) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4389), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4388), _u4390), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), c_Groups_Ozero__class_Ozero(_u4388)), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)), c_Groups_Ozero__class_Ozero(_u4388))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4389), c_Groups_Ozero__class_Ozero(_u4388))) )).
% 19.51/19.76 cnf(matrix-2701, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4388) | ~class_Int_Onumber(_u4388) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4389), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4388), _u4390), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), c_Groups_Ozero__class_Ozero(_u4388)), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4390), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4388), _u4389), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)), c_Groups_Ozero__class_Ozero(_u4388))) )).
% 19.51/19.76 cnf(matrix-2702, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4388) | ~class_Int_Onumber(_u4388) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4389), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4388), _u4390), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), c_Groups_Ozero__class_Ozero(_u4388)), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4390), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4388), _u4389), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4389), c_Groups_Ozero__class_Ozero(_u4388))) )).
% 19.51/19.76 cnf(matrix-2703, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4388) | ~class_Int_Onumber(_u4388) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4389), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4388), _u4390), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4388), _u4389), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391))), _u4390)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), c_Groups_Ozero__class_Ozero(_u4388)), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391))) )).
% 19.51/19.76 cnf(matrix-2704, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4388) | ~class_Int_Onumber(_u4388) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4389), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4388), _u4390), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4388), _u4389), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391))), _u4390)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)), c_Groups_Ozero__class_Ozero(_u4388))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4389), c_Groups_Ozero__class_Ozero(_u4388))) )).
% 19.51/19.76 cnf(matrix-2705, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4388) | ~class_Int_Onumber(_u4388) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4389), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4388), _u4390), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4388), _u4389), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391))), _u4390)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4390), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4388), _u4389), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)), c_Groups_Ozero__class_Ozero(_u4388))) )).
% 19.51/19.76 cnf(matrix-2706, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4388) | ~class_Int_Onumber(_u4388) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4389), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4388), _u4390), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4388), _u4389), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391))), _u4390)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4390), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4388), _u4389), hAPP(c_Int_Onumber__class_Onumber__of(_u4388), _u4391)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4388), _u4389), c_Groups_Ozero__class_Ozero(_u4388))) )).
% 19.51/19.76 cnf(matrix-2707, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4392) | ~class_Int_Onumber(_u4392) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4392), _u4394), _u4395))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), c_Groups_Ozero__class_Ozero(_u4392)), _u4395)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), _u4395)), _u4394)) )).
% 19.51/19.76 cnf(matrix-2708, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4392) | ~class_Int_Onumber(_u4392) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4392), _u4394), _u4395))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), c_Groups_Ozero__class_Ozero(_u4392)), _u4395)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), _u4395), c_Groups_Ozero__class_Ozero(_u4392))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), _u4394), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), _u4395))) )).
% 19.51/19.76 cnf(matrix-2709, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4392) | ~class_Int_Onumber(_u4392) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4392), _u4394), _u4395))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), c_Groups_Ozero__class_Ozero(_u4392)), _u4395)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), _u4395), c_Groups_Ozero__class_Ozero(_u4392))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), c_Groups_Ozero__class_Ozero(_u4392))) )).
% 19.51/19.76 cnf(matrix-2710, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4392) | ~class_Int_Onumber(_u4392) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4392), _u4394), _u4395))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), c_Groups_Ozero__class_Ozero(_u4392)), _u4395)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), _u4395), c_Groups_Ozero__class_Ozero(_u4392))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), c_Groups_Ozero__class_Ozero(_u4392))) )).
% 19.51/19.76 cnf(matrix-2711, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4392) | ~class_Int_Onumber(_u4392) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4392), _u4394), _u4395))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), c_Groups_Ozero__class_Ozero(_u4392)), _u4395)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), _u4394), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), _u4395))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), _u4395), c_Groups_Ozero__class_Ozero(_u4392))) )).
% 19.51/19.76 cnf(matrix-2712, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4392) | ~class_Int_Onumber(_u4392) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4392), _u4394), _u4395))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), c_Groups_Ozero__class_Ozero(_u4392)), _u4395)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), _u4394), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), _u4395))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), c_Groups_Ozero__class_Ozero(_u4392))) )).
% 19.51/19.76 cnf(matrix-2713, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4392) | ~class_Int_Onumber(_u4392) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4392), _u4394), _u4395))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), _u4395)), _u4394)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), c_Groups_Ozero__class_Ozero(_u4392)), _u4395)) )).
% 19.51/19.76 cnf(matrix-2714, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4392) | ~class_Int_Onumber(_u4392) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4392), _u4394), _u4395))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), _u4395)), _u4394)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), _u4395), c_Groups_Ozero__class_Ozero(_u4392))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), c_Groups_Ozero__class_Ozero(_u4392))) )).
% 19.51/19.76 cnf(matrix-2715, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4392) | ~class_Int_Onumber(_u4392) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4392), _u4394), _u4395))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), _u4395)), _u4394)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), _u4394), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), _u4395))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), _u4395), c_Groups_Ozero__class_Ozero(_u4392))) )).
% 19.51/19.76 cnf(matrix-2716, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4392) | ~class_Int_Onumber(_u4392) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4392), _u4394), _u4395))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), _u4395)), _u4394)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), _u4394), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), _u4395))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4392), hAPP(c_Int_Onumber__class_Onumber__of(_u4392), _u4393)), c_Groups_Ozero__class_Ozero(_u4392))) )).
% 19.51/19.76 cnf(matrix-2717, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4396) | ~class_Int_Onumber(_u4396) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4396), _u4397), _u4398)), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), c_Groups_Ozero__class_Ozero(_u4396)), _u4398)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), _u4397), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4396), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399)), _u4398))) )).
% 19.51/19.76 cnf(matrix-2718, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4396) | ~class_Int_Onumber(_u4396) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4396), _u4397), _u4398)), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), c_Groups_Ozero__class_Ozero(_u4396)), _u4398)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), _u4398), c_Groups_Ozero__class_Ozero(_u4396))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4396), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399)), _u4398)), _u4397)) )).
% 19.51/19.76 cnf(matrix-2719, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4396) | ~class_Int_Onumber(_u4396) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4396), _u4397), _u4398)), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), c_Groups_Ozero__class_Ozero(_u4396)), _u4398)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), _u4398), c_Groups_Ozero__class_Ozero(_u4396))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), c_Groups_Ozero__class_Ozero(_u4396)), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399))) )).
% 19.51/19.76 cnf(matrix-2720, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4396) | ~class_Int_Onumber(_u4396) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4396), _u4397), _u4398)), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), c_Groups_Ozero__class_Ozero(_u4396)), _u4398)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), _u4398), c_Groups_Ozero__class_Ozero(_u4396))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), c_Groups_Ozero__class_Ozero(_u4396)), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399))) )).
% 19.51/19.76 cnf(matrix-2721, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4396) | ~class_Int_Onumber(_u4396) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4396), _u4397), _u4398)), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), c_Groups_Ozero__class_Ozero(_u4396)), _u4398)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4396), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399)), _u4398)), _u4397)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), _u4398), c_Groups_Ozero__class_Ozero(_u4396))) )).
% 19.51/19.76 cnf(matrix-2722, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4396) | ~class_Int_Onumber(_u4396) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4396), _u4397), _u4398)), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), c_Groups_Ozero__class_Ozero(_u4396)), _u4398)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4396), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399)), _u4398)), _u4397)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), c_Groups_Ozero__class_Ozero(_u4396)), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399))) )).
% 19.51/19.76 cnf(matrix-2723, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4396) | ~class_Int_Onumber(_u4396) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4396), _u4397), _u4398)), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), _u4397), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4396), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399)), _u4398))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), c_Groups_Ozero__class_Ozero(_u4396)), _u4398)) )).
% 19.51/19.76 cnf(matrix-2724, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4396) | ~class_Int_Onumber(_u4396) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4396), _u4397), _u4398)), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), _u4397), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4396), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399)), _u4398))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), _u4398), c_Groups_Ozero__class_Ozero(_u4396))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), c_Groups_Ozero__class_Ozero(_u4396)), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399))) )).
% 19.51/19.76 cnf(matrix-2725, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4396) | ~class_Int_Onumber(_u4396) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4396), _u4397), _u4398)), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), _u4397), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4396), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399)), _u4398))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4396), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399)), _u4398)), _u4397)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), _u4398), c_Groups_Ozero__class_Ozero(_u4396))) )).
% 19.51/19.76 cnf(matrix-2726, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4396) | ~class_Int_Onumber(_u4396) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4396), _u4397), _u4398)), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), _u4397), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4396), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399)), _u4398))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4396), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399)), _u4398)), _u4397)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4396), c_Groups_Ozero__class_Ozero(_u4396)), hAPP(c_Int_Onumber__class_Onumber__of(_u4396), _u4399))) )).
% 19.51/19.76 cnf(matrix-2727, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4400) | ~class_Int_Onumber(_u4400) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4400), _u4401), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))), _u4403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), c_Groups_Ozero__class_Ozero(_u4400)), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), _u4401), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4400), _u4403), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402)))) )).
% 19.51/19.76 cnf(matrix-2728, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4400) | ~class_Int_Onumber(_u4400) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4400), _u4401), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))), _u4403)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), c_Groups_Ozero__class_Ozero(_u4400)), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402)), c_Groups_Ozero__class_Ozero(_u4400))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4400), _u4403), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))), _u4401)) )).
% 19.51/19.76 cnf(matrix-2729, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4400) | ~class_Int_Onumber(_u4400) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4400), _u4401), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))), _u4403)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), c_Groups_Ozero__class_Ozero(_u4400)), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402)), c_Groups_Ozero__class_Ozero(_u4400))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), c_Groups_Ozero__class_Ozero(_u4400)), _u4403)) )).
% 19.51/19.76 cnf(matrix-2730, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4400) | ~class_Int_Onumber(_u4400) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4400), _u4401), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))), _u4403)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), c_Groups_Ozero__class_Ozero(_u4400)), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402)), c_Groups_Ozero__class_Ozero(_u4400))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), c_Groups_Ozero__class_Ozero(_u4400)), _u4403)) )).
% 19.51/19.76 cnf(matrix-2731, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4400) | ~class_Int_Onumber(_u4400) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4400), _u4401), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))), _u4403)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), c_Groups_Ozero__class_Ozero(_u4400)), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4400), _u4403), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))), _u4401)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402)), c_Groups_Ozero__class_Ozero(_u4400))) )).
% 19.51/19.76 cnf(matrix-2732, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4400) | ~class_Int_Onumber(_u4400) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4400), _u4401), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))), _u4403)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), c_Groups_Ozero__class_Ozero(_u4400)), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4400), _u4403), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))), _u4401)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), c_Groups_Ozero__class_Ozero(_u4400)), _u4403)) )).
% 19.51/19.76 cnf(matrix-2733, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4400) | ~class_Int_Onumber(_u4400) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4400), _u4401), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))), _u4403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), _u4401), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4400), _u4403), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), c_Groups_Ozero__class_Ozero(_u4400)), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))) )).
% 19.51/19.76 cnf(matrix-2734, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4400) | ~class_Int_Onumber(_u4400) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4400), _u4401), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))), _u4403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), _u4401), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4400), _u4403), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402)), c_Groups_Ozero__class_Ozero(_u4400))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), c_Groups_Ozero__class_Ozero(_u4400)), _u4403)) )).
% 19.51/19.76 cnf(matrix-2735, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4400) | ~class_Int_Onumber(_u4400) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4400), _u4401), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))), _u4403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), _u4401), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4400), _u4403), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4400), _u4403), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))), _u4401)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402)), c_Groups_Ozero__class_Ozero(_u4400))) )).
% 19.51/19.76 cnf(matrix-2736, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4400) | ~class_Int_Onumber(_u4400) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4400), _u4401), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))), _u4403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), _u4401), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4400), _u4403), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4400), _u4403), hAPP(c_Int_Onumber__class_Onumber__of(_u4400), _u4402))), _u4401)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4400), c_Groups_Ozero__class_Ozero(_u4400)), _u4403)) )).
% 19.51/19.76 cnf(matrix-2737, plain, ( ~class_Orderings_Olinorder(_u4404) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4404), _u4405)) | ~hBOOL(hAPP(hAPP(c_member(_u4404), _u4406), _u4405)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4404), hAPP(hAPP(c_Finite__Set_Ofold(_u4404, _u4404, c_Orderings_Oord__class_Omin(_u4404)), _u4407), _u4405)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4404), _u4406), _u4407))) )).
% 19.51/19.76 cnf(matrix-2738, plain, ( ~class_Orderings_Olinorder(_u4408) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4408), _u4409)) | ~hBOOL(hAPP(hAPP(c_member(_u4408), _u4410), _u4409)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4408), hAPP(c_Finite__Set_Ofold1(_u4408, c_Orderings_Oord__class_Omin(_u4408)), _u4409)), _u4410)) )).
% 19.51/19.76 cnf(matrix-2739, plain, ( ~class_Orderings_Olinorder(_u4413) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4413), _u4414)) | ( _u4414 = c_Orderings_Obot__class_Obot(tc_fun(_u4413, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4413), hAPP(c_Finite__Set_Ofold1(_u4413, c_Orderings_Oord__class_Omin(_u4413)), _u4414)), _u4415)) | hBOOL(hAPP(hAPP(c_member(_u4413), skolem91(_u4415, _u4414, _u4413)), _u4414)) )).
% 19.53/19.76 cnf(matrix-2740, plain, ( ~class_Orderings_Olinorder(_u4413) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4413), _u4414)) | ( _u4414 = c_Orderings_Obot__class_Obot(tc_fun(_u4413, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4413), hAPP(c_Finite__Set_Ofold1(_u4413, c_Orderings_Oord__class_Omin(_u4413)), _u4414)), _u4415)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4413), skolem91(_u4415, _u4414, _u4413)), _u4415)) )).
% 19.53/19.76 cnf(matrix-2741, plain, ( ~class_Orderings_Olinorder(_u4413) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4413), _u4414)) | ( _u4414 = c_Orderings_Obot__class_Obot(tc_fun(_u4413, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u4413), _u4412), _u4414)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4413), _u4412), _u4415)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4413), hAPP(c_Finite__Set_Ofold1(_u4413, c_Orderings_Oord__class_Omin(_u4413)), _u4414)), _u4415)) )).
% 19.53/19.76 cnf(matrix-2742, plain, ( ~class_Orderings_Olinorder(_u4418) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4418), _u4419)) | ( _u4419 = c_Orderings_Obot__class_Obot(tc_fun(_u4418, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4418), _u4420), hAPP(c_Finite__Set_Ofold1(_u4418, c_Orderings_Oord__class_Omin(_u4418)), _u4419))) | ~hBOOL(hAPP(hAPP(c_member(_u4418), _u4416), _u4419)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4418), _u4420), _u4416)) )).
% 19.53/19.76 cnf(matrix-2743, plain, ( ~class_Orderings_Olinorder(_u4418) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4418), _u4419)) | ( _u4419 = c_Orderings_Obot__class_Obot(tc_fun(_u4418, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4418), _u4420), hAPP(c_Finite__Set_Ofold1(_u4418, c_Orderings_Oord__class_Omin(_u4418)), _u4419))) | hBOOL(hAPP(hAPP(c_member(_u4418), skolem92(_u4420, _u4419, _u4418)), _u4419)) )).
% 19.53/19.76 cnf(matrix-2744, plain, ( ~class_Orderings_Olinorder(_u4418) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4418), _u4419)) | ( _u4419 = c_Orderings_Obot__class_Obot(tc_fun(_u4418, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4418), _u4420), hAPP(c_Finite__Set_Ofold1(_u4418, c_Orderings_Oord__class_Omin(_u4418)), _u4419))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4418), _u4420), skolem92(_u4420, _u4419, _u4418))) )).
% 19.53/19.76 cnf(matrix-2745, plain, ( ~class_Orderings_Olinorder(_u4423) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4423), _u4424)) | ( _u4424 = c_Orderings_Obot__class_Obot(tc_fun(_u4423, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4423), hAPP(c_Finite__Set_Ofold1(_u4423, c_Orderings_Oord__class_Omin(_u4423)), _u4424)), _u4425)) | hBOOL(hAPP(hAPP(c_member(_u4423), skolem93(_u4425, _u4424, _u4423)), _u4424)) )).
% 19.53/19.76 cnf(matrix-2746, plain, ( ~class_Orderings_Olinorder(_u4423) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4423), _u4424)) | ( _u4424 = c_Orderings_Obot__class_Obot(tc_fun(_u4423, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4423), hAPP(c_Finite__Set_Ofold1(_u4423, c_Orderings_Oord__class_Omin(_u4423)), _u4424)), _u4425)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4423), skolem93(_u4425, _u4424, _u4423)), _u4425)) )).
% 19.53/19.76 cnf(matrix-2747, plain, ( ~class_Orderings_Olinorder(_u4423) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4423), _u4424)) | ( _u4424 = c_Orderings_Obot__class_Obot(tc_fun(_u4423, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u4423), _u4422), _u4424)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4423), _u4422), _u4425)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4423), hAPP(c_Finite__Set_Ofold1(_u4423, c_Orderings_Oord__class_Omin(_u4423)), _u4424)), _u4425)) )).
% 19.53/19.76 cnf(matrix-2748, plain, ( ~class_Orderings_Olinorder(_u4428) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4428), _u4429)) | ( _u4429 = c_Orderings_Obot__class_Obot(tc_fun(_u4428, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4428), _u4430), hAPP(c_Finite__Set_Ofold1(_u4428, c_Orderings_Oord__class_Omin(_u4428)), _u4429))) | ~hBOOL(hAPP(hAPP(c_member(_u4428), _u4426), _u4429)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4428), _u4430), _u4426)) )).
% 19.53/19.76 cnf(matrix-2749, plain, ( ~class_Orderings_Olinorder(_u4428) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4428), _u4429)) | ( _u4429 = c_Orderings_Obot__class_Obot(tc_fun(_u4428, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4428), _u4430), hAPP(c_Finite__Set_Ofold1(_u4428, c_Orderings_Oord__class_Omin(_u4428)), _u4429))) | hBOOL(hAPP(hAPP(c_member(_u4428), skolem94(_u4430, _u4429, _u4428)), _u4429)) )).
% 19.53/19.76 cnf(matrix-2750, plain, ( ~class_Orderings_Olinorder(_u4428) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4428), _u4429)) | ( _u4429 = c_Orderings_Obot__class_Obot(tc_fun(_u4428, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4428), _u4430), hAPP(c_Finite__Set_Ofold1(_u4428, c_Orderings_Oord__class_Omin(_u4428)), _u4429))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4428), _u4430), skolem94(_u4430, _u4429, _u4428))) )).
% 19.53/19.76 cnf(matrix-2751, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4431) | ~class_Int_Onumber(_u4431) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4431), _u4432), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))), _u4434)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4431), c_Groups_Ozero__class_Ozero(_u4431)), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), _u4432), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4431), _u4434), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433)))) )).
% 19.53/19.76 cnf(matrix-2752, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4431) | ~class_Int_Onumber(_u4431) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4431), _u4432), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))), _u4434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4431), c_Groups_Ozero__class_Ozero(_u4431)), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4431), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433)), c_Groups_Ozero__class_Ozero(_u4431))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4431), _u4434), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))), _u4432)) )).
% 19.53/19.76 cnf(matrix-2753, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4431) | ~class_Int_Onumber(_u4431) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4431), _u4432), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))), _u4434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4431), c_Groups_Ozero__class_Ozero(_u4431)), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4431), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433)), c_Groups_Ozero__class_Ozero(_u4431))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), c_Groups_Ozero__class_Ozero(_u4431)), _u4434)) )).
% 19.53/19.76 cnf(matrix-2754, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4431) | ~class_Int_Onumber(_u4431) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4431), _u4432), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))), _u4434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4431), c_Groups_Ozero__class_Ozero(_u4431)), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4431), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433)), c_Groups_Ozero__class_Ozero(_u4431))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), c_Groups_Ozero__class_Ozero(_u4431)), _u4434)) )).
% 19.53/19.76 cnf(matrix-2755, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4431) | ~class_Int_Onumber(_u4431) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4431), _u4432), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))), _u4434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4431), c_Groups_Ozero__class_Ozero(_u4431)), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4431), _u4434), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))), _u4432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4431), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433)), c_Groups_Ozero__class_Ozero(_u4431))) )).
% 19.53/19.76 cnf(matrix-2756, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4431) | ~class_Int_Onumber(_u4431) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4431), _u4432), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))), _u4434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4431), c_Groups_Ozero__class_Ozero(_u4431)), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4431), _u4434), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))), _u4432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), c_Groups_Ozero__class_Ozero(_u4431)), _u4434)) )).
% 19.53/19.76 cnf(matrix-2757, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4431) | ~class_Int_Onumber(_u4431) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4431), _u4432), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))), _u4434)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), _u4432), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4431), _u4434), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4431), c_Groups_Ozero__class_Ozero(_u4431)), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))) )).
% 19.53/19.76 cnf(matrix-2758, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4431) | ~class_Int_Onumber(_u4431) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4431), _u4432), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))), _u4434)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), _u4432), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4431), _u4434), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4431), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433)), c_Groups_Ozero__class_Ozero(_u4431))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), c_Groups_Ozero__class_Ozero(_u4431)), _u4434)) )).
% 19.53/19.76 cnf(matrix-2759, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4431) | ~class_Int_Onumber(_u4431) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4431), _u4432), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))), _u4434)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), _u4432), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4431), _u4434), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4431), _u4434), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))), _u4432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4431), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433)), c_Groups_Ozero__class_Ozero(_u4431))) )).
% 19.53/19.76 cnf(matrix-2760, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4431) | ~class_Int_Onumber(_u4431) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4431), _u4432), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))), _u4434)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), _u4432), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4431), _u4434), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4431), _u4434), hAPP(c_Int_Onumber__class_Onumber__of(_u4431), _u4433))), _u4432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4431), c_Groups_Ozero__class_Ozero(_u4431)), _u4434)) )).
% 19.53/19.76 cnf(matrix-2761, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4435) | ~class_Int_Onumber(_u4435) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4435), _u4436), _u4437)), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4435), c_Groups_Ozero__class_Ozero(_u4435)), _u4437)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), _u4436), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4435), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438)), _u4437))) )).
% 19.53/19.76 cnf(matrix-2762, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4435) | ~class_Int_Onumber(_u4435) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4435), _u4436), _u4437)), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4435), c_Groups_Ozero__class_Ozero(_u4435)), _u4437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4435), _u4437), c_Groups_Ozero__class_Ozero(_u4435))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4435), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438)), _u4437)), _u4436)) )).
% 19.53/19.76 cnf(matrix-2763, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4435) | ~class_Int_Onumber(_u4435) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4435), _u4436), _u4437)), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4435), c_Groups_Ozero__class_Ozero(_u4435)), _u4437)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4435), _u4437), c_Groups_Ozero__class_Ozero(_u4435))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), c_Groups_Ozero__class_Ozero(_u4435)), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438))) )).
% 19.53/19.76 cnf(matrix-2764, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4435) | ~class_Int_Onumber(_u4435) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4435), _u4436), _u4437)), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4435), c_Groups_Ozero__class_Ozero(_u4435)), _u4437)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4435), _u4437), c_Groups_Ozero__class_Ozero(_u4435))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), c_Groups_Ozero__class_Ozero(_u4435)), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438))) )).
% 19.53/19.76 cnf(matrix-2765, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4435) | ~class_Int_Onumber(_u4435) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4435), _u4436), _u4437)), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4435), c_Groups_Ozero__class_Ozero(_u4435)), _u4437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4435), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438)), _u4437)), _u4436)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4435), _u4437), c_Groups_Ozero__class_Ozero(_u4435))) )).
% 19.53/19.76 cnf(matrix-2766, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4435) | ~class_Int_Onumber(_u4435) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4435), _u4436), _u4437)), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4435), c_Groups_Ozero__class_Ozero(_u4435)), _u4437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4435), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438)), _u4437)), _u4436)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), c_Groups_Ozero__class_Ozero(_u4435)), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438))) )).
% 19.53/19.76 cnf(matrix-2767, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4435) | ~class_Int_Onumber(_u4435) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4435), _u4436), _u4437)), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), _u4436), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4435), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438)), _u4437))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4435), c_Groups_Ozero__class_Ozero(_u4435)), _u4437)) )).
% 19.53/19.76 cnf(matrix-2768, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4435) | ~class_Int_Onumber(_u4435) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4435), _u4436), _u4437)), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), _u4436), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4435), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438)), _u4437))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4435), _u4437), c_Groups_Ozero__class_Ozero(_u4435))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), c_Groups_Ozero__class_Ozero(_u4435)), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438))) )).
% 19.53/19.76 cnf(matrix-2769, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4435) | ~class_Int_Onumber(_u4435) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4435), _u4436), _u4437)), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), _u4436), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4435), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438)), _u4437))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4435), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438)), _u4437)), _u4436)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4435), _u4437), c_Groups_Ozero__class_Ozero(_u4435))) )).
% 19.53/19.76 cnf(matrix-2770, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4435) | ~class_Int_Onumber(_u4435) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4435), _u4436), _u4437)), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), _u4436), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4435), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438)), _u4437))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4435), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438)), _u4437)), _u4436)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), c_Groups_Ozero__class_Ozero(_u4435)), hAPP(c_Int_Onumber__class_Onumber__of(_u4435), _u4438))) )).
% 19.53/19.76 cnf(matrix-2771, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4439) | ~class_Int_Onumber(_u4439) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4439), _u4441), _u4442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4439), c_Groups_Ozero__class_Ozero(_u4439)), _u4442)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), _u4442)), _u4441)) )).
% 19.53/19.76 cnf(matrix-2772, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4439) | ~class_Int_Onumber(_u4439) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4439), _u4441), _u4442))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4439), c_Groups_Ozero__class_Ozero(_u4439)), _u4442)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4439), _u4442), c_Groups_Ozero__class_Ozero(_u4439))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), _u4441), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), _u4442))) )).
% 19.53/19.76 cnf(matrix-2773, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4439) | ~class_Int_Onumber(_u4439) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4439), _u4441), _u4442))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4439), c_Groups_Ozero__class_Ozero(_u4439)), _u4442)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4439), _u4442), c_Groups_Ozero__class_Ozero(_u4439))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), c_Groups_Ozero__class_Ozero(_u4439))) )).
% 19.53/19.76 cnf(matrix-2774, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4439) | ~class_Int_Onumber(_u4439) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4439), _u4441), _u4442))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4439), c_Groups_Ozero__class_Ozero(_u4439)), _u4442)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4439), _u4442), c_Groups_Ozero__class_Ozero(_u4439))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), c_Groups_Ozero__class_Ozero(_u4439))) )).
% 19.53/19.76 cnf(matrix-2775, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4439) | ~class_Int_Onumber(_u4439) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4439), _u4441), _u4442))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4439), c_Groups_Ozero__class_Ozero(_u4439)), _u4442)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), _u4441), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), _u4442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4439), _u4442), c_Groups_Ozero__class_Ozero(_u4439))) )).
% 19.53/19.76 cnf(matrix-2776, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4439) | ~class_Int_Onumber(_u4439) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4439), _u4441), _u4442))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4439), c_Groups_Ozero__class_Ozero(_u4439)), _u4442)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), _u4441), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), _u4442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), c_Groups_Ozero__class_Ozero(_u4439))) )).
% 19.53/19.76 cnf(matrix-2777, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4439) | ~class_Int_Onumber(_u4439) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4439), _u4441), _u4442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), _u4442)), _u4441)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4439), c_Groups_Ozero__class_Ozero(_u4439)), _u4442)) )).
% 19.53/19.76 cnf(matrix-2778, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4439) | ~class_Int_Onumber(_u4439) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4439), _u4441), _u4442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), _u4442)), _u4441)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4439), _u4442), c_Groups_Ozero__class_Ozero(_u4439))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), c_Groups_Ozero__class_Ozero(_u4439))) )).
% 19.53/19.76 cnf(matrix-2779, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4439) | ~class_Int_Onumber(_u4439) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4439), _u4441), _u4442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), _u4442)), _u4441)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), _u4441), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), _u4442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4439), _u4442), c_Groups_Ozero__class_Ozero(_u4439))) )).
% 19.53/19.76 cnf(matrix-2780, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4439) | ~class_Int_Onumber(_u4439) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4439), _u4441), _u4442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), _u4442)), _u4441)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), _u4441), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), _u4442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4439), hAPP(c_Int_Onumber__class_Onumber__of(_u4439), _u4440)), c_Groups_Ozero__class_Ozero(_u4439))) )).
% 19.53/19.76 cnf(matrix-2781, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4443) | ~class_Int_Onumber(_u4443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4444), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4443), _u4445), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4443), c_Groups_Ozero__class_Ozero(_u4443)), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4443), _u4444), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446))), _u4445)) )).
% 19.53/19.76 cnf(matrix-2782, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4443) | ~class_Int_Onumber(_u4443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4444), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4443), _u4445), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4443), c_Groups_Ozero__class_Ozero(_u4443)), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4443), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)), c_Groups_Ozero__class_Ozero(_u4443))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4445), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4443), _u4444), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)))) )).
% 19.53/19.76 cnf(matrix-2783, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4443) | ~class_Int_Onumber(_u4443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4444), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4443), _u4445), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4443), c_Groups_Ozero__class_Ozero(_u4443)), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4443), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)), c_Groups_Ozero__class_Ozero(_u4443))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4444), c_Groups_Ozero__class_Ozero(_u4443))) )).
% 19.53/19.76 cnf(matrix-2784, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4443) | ~class_Int_Onumber(_u4443) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4444), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4443), _u4445), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4443), c_Groups_Ozero__class_Ozero(_u4443)), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4443), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)), c_Groups_Ozero__class_Ozero(_u4443))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4444), c_Groups_Ozero__class_Ozero(_u4443))) )).
% 19.53/19.76 cnf(matrix-2785, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4443) | ~class_Int_Onumber(_u4443) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4444), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4443), _u4445), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4443), c_Groups_Ozero__class_Ozero(_u4443)), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4445), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4443), _u4444), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4443), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)), c_Groups_Ozero__class_Ozero(_u4443))) )).
% 19.53/19.76 cnf(matrix-2786, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4443) | ~class_Int_Onumber(_u4443) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4444), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4443), _u4445), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4443), c_Groups_Ozero__class_Ozero(_u4443)), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4445), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4443), _u4444), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4444), c_Groups_Ozero__class_Ozero(_u4443))) )).
% 19.53/19.76 cnf(matrix-2787, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4443) | ~class_Int_Onumber(_u4443) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4444), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4443), _u4445), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4443), _u4444), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446))), _u4445)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4443), c_Groups_Ozero__class_Ozero(_u4443)), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446))) )).
% 19.53/19.76 cnf(matrix-2788, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4443) | ~class_Int_Onumber(_u4443) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4444), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4443), _u4445), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4443), _u4444), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446))), _u4445)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4443), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)), c_Groups_Ozero__class_Ozero(_u4443))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4444), c_Groups_Ozero__class_Ozero(_u4443))) )).
% 19.53/19.76 cnf(matrix-2789, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4443) | ~class_Int_Onumber(_u4443) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4444), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4443), _u4445), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4443), _u4444), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446))), _u4445)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4445), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4443), _u4444), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4443), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)), c_Groups_Ozero__class_Ozero(_u4443))) )).
% 19.53/19.76 cnf(matrix-2790, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u4443) | ~class_Int_Onumber(_u4443) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4444), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4443), _u4445), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4443), _u4444), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446))), _u4445)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4445), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4443), _u4444), hAPP(c_Int_Onumber__class_Onumber__of(_u4443), _u4446)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4444), c_Groups_Ozero__class_Ozero(_u4443))) )).
% 19.53/19.76 cnf(matrix-2791, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nitpick_Opair__box(_u4447, _u4448)), c_Nitpick_Opair__box_OPairBox(_u4447, _u4448, _u4449, _u4450)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.76 cnf(matrix-2792, plain, ( ( c_Nitpick_Opair__box_Opair__box__case(_u4451, _u4452, _u4453, _u4454, c_Nitpick_Opair__box_OPairBox(_u4451, _u4452, _u4455, _u4456)) = hAPP(hAPP(_u4454, _u4455), _u4456)) )).
% 19.53/19.76 cnf(matrix-2793, plain, ( ( c_Nitpick_Opair__box_Opair__box__rec(_u4457, _u4458, _u4459, _u4460, c_Nitpick_Opair__box_OPairBox(_u4457, _u4458, _u4461, _u4462)) = hAPP(hAPP(_u4460, _u4461), _u4462)) )).
% 19.53/19.76 cnf(matrix-2794, plain, ( ~class_Orderings_Oord(_u4463) | ( c_Orderings_Oord__class_Omin(_u4463) = c_Orderings_Oord_Omin(_u4463, c_Orderings_Oord__class_Oless__eq(_u4463))) )).
% 19.53/19.76 cnf(matrix-2795, plain, ( ~class_Orderings_Olinorder(_u4464) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4464), _u4465)) | ~hBOOL(hAPP(hAPP(c_member(_u4464), _u4466), _u4465)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4464, tc_HOL_Obool)), _u4465), hAPP(hAPP(c_Set_Oinsert(_u4464), _u4466), c_Orderings_Obot__class_Obot(tc_fun(_u4464, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4464, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u4464, _u4465) = _u4466) )).
% 19.53/19.76 cnf(matrix-2796, plain, ( ~class_Orderings_Olinorder(_u4464) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4464), _u4465)) | ~hBOOL(hAPP(hAPP(c_member(_u4464), _u4466), _u4465)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4464, tc_HOL_Obool)), _u4465), hAPP(hAPP(c_Set_Oinsert(_u4464), _u4466), c_Orderings_Obot__class_Obot(tc_fun(_u4464, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4464, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u4464, _u4465) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4464), _u4466), c_Big__Operators_Olinorder__class_OMin(_u4464, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4464, tc_HOL_Obool)), _u4465), hAPP(hAPP(c_Set_Oinsert(_u4464), _u4466), c_Orderings_Obot__class_Obot(tc_fun(_u4464, tc_HOL_Obool))))))) )).
% 19.53/19.76 cnf(matrix-2797, plain, ( ~class_Orderings_Olinorder(_u4467) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4467), _u4468)) | ~hBOOL(hAPP(hAPP(c_member(_u4467), _u4469), _u4468)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4467, tc_HOL_Obool)), _u4468), hAPP(hAPP(c_Set_Oinsert(_u4467), _u4469), c_Orderings_Obot__class_Obot(tc_fun(_u4467, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4467, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u4467, c_Orderings_Oord__class_Omin(_u4467), _u4468) = _u4469) )).
% 19.53/19.76 cnf(matrix-2798, plain, ( ~class_Orderings_Olinorder(_u4467) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4467), _u4468)) | ~hBOOL(hAPP(hAPP(c_member(_u4467), _u4469), _u4468)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4467, tc_HOL_Obool)), _u4468), hAPP(hAPP(c_Set_Oinsert(_u4467), _u4469), c_Orderings_Obot__class_Obot(tc_fun(_u4467, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4467, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u4467, c_Orderings_Oord__class_Omin(_u4467), _u4468) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4467), _u4469), c_Big__Operators_Olattice_OInf__fin(_u4467, c_Orderings_Oord__class_Omin(_u4467), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4467, tc_HOL_Obool)), _u4468), hAPP(hAPP(c_Set_Oinsert(_u4467), _u4469), c_Orderings_Obot__class_Obot(tc_fun(_u4467, tc_HOL_Obool))))))) )).
% 19.53/19.76 cnf(matrix-2799, plain, ( ~class_Orderings_Olinorder(_u4470) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4470), _u4471)) | hBOOL(hAPP(hAPP(c_member(_u4470), _u4472), _u4471)) | ( c_Big__Operators_Olinorder__class_OMin(_u4470, hAPP(hAPP(c_Set_Oinsert(_u4470), _u4472), _u4471)) = hAPP(hAPP(c_Finite__Set_Ofold(_u4470, _u4470, c_Orderings_Oord__class_Omin(_u4470)), _u4472), _u4471)) )).
% 19.53/19.76 cnf(matrix-2800, plain, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat)) )).
% 19.53/19.76 cnf(matrix-2801, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4475)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4477))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4475), _u4477)) )).
% 19.53/19.76 cnf(matrix-2802, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4476), _u4478)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4476)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4478))) )).
% 19.53/19.76 cnf(matrix-2803, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4479)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4480)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4479), _u4480))) )).
% 19.53/19.76 cnf(matrix-2804, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4483)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4485))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4483), _u4485)) )).
% 19.53/19.76 cnf(matrix-2805, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4484), _u4486)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4484)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4486))) )).
% 19.53/19.76 cnf(matrix-2806, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4487)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4488)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4487), _u4488))) )).
% 19.53/19.76 cnf(matrix-2807, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4489)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u4489))) )).
% 19.53/19.76 cnf(matrix-2808, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u4491)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4491)) )).
% 19.53/19.76 cnf(matrix-2809, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4492)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u4492)) )).
% 19.53/19.76 cnf(matrix-2810, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4493)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4493), _u4494) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4493 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 19.53/19.76 cnf(matrix-2811, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4493)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4493), _u4494) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4494 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 19.53/19.76 cnf(matrix-2812, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4493)) | ( _u4493 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u4494 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4493), _u4494) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 19.53/19.76 cnf(matrix-2813, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4495), _u4496)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4497)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4497), _u4495)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4497), _u4496))) )).
% 19.53/19.76 cnf(matrix-2814, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4500), _u4502)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4500), _u4502)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-2815, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4501), _u4503)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4501), _u4503)) )).
% 19.53/19.76 cnf(matrix-2816, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-2817, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4504), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u4504) )).
% 19.53/19.76 cnf(matrix-2818, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4505) = _u4505) )).
% 19.53/19.76 cnf(matrix-2819, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u4506)), _u4506) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.53/19.76 cnf(matrix-2820, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u4508)), _u4508)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4508), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-2821, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4509), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u4509)), _u4509)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-2822, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4512), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4514), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4512), _u4514)) | ( _u4512 = _u4514) )).
% 19.53/19.76 cnf(matrix-2823, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4513), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4515), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4513), _u4515)) )).
% 19.53/19.76 cnf(matrix-2824, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4513), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4515), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ( _u4513 != _u4515) )).
% 19.53/19.76 cnf(matrix-2825, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4516), _u4517)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4516), _u4518)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4517), _u4518))) )).
% 19.53/19.76 cnf(matrix-2826, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4519), _u4520) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4520), _u4519)) )).
% 19.53/19.76 cnf(matrix-2827, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4521), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4522), _u4523)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4522), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4521), _u4523))) )).
% 19.53/19.76 cnf(matrix-2828, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4524), _u4525)), _u4526) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4524), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4525), _u4526))) )).
% 19.53/19.76 cnf(matrix-2829, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4527), _u4528)), _u4529) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4527), _u4529)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4528), _u4529))) )).
% 19.53/19.76 cnf(matrix-2830, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4530), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4531), _u4532)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4530), _u4531)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4530), _u4532))) )).
% 19.53/19.76 cnf(matrix-2831, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4533), _u4534)) | ( _u4533 = _u4534) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4534), _u4533)) )).
% 19.53/19.76 cnf(matrix-2832, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4535), _u4536)), _u4537) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4535), _u4537)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4536), _u4537))) )).
% 19.53/19.76 cnf(matrix-2833, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4538), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4539), _u4540)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4538), _u4539)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4538), _u4540))) )).
% 19.53/19.76 cnf(matrix-2834, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4541), _u4542) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4542), _u4541)) )).
% 19.53/19.76 cnf(matrix-2835, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4543), _u4544)), _u4545) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4543), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4544), _u4545))) )).
% 19.53/19.76 cnf(matrix-2836, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u4546) = _u4546) )).
% 19.53/19.76 cnf(matrix-2837, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4547), c_Groups_Oone__class_Oone(tc_Int_Oint)) = _u4547) )).
% 19.53/19.76 cnf(matrix-2838, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4550), _u4552)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4550), _u4552)) )).
% 19.53/19.76 cnf(matrix-2839, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4550), _u4552)) | ( _u4550 != _u4552) )).
% 19.53/19.76 cnf(matrix-2840, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4551), _u4553)) | ( _u4551 = _u4553) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4551), _u4553)) )).
% 19.53/19.76 cnf(matrix-2841, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4554), _u4554)) )).
% 19.53/19.76 cnf(matrix-2842, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4555), _u4556)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4556), _u4555)) )).
% 19.53/19.76 cnf(matrix-2843, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4557), _u4558)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4558), _u4559)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4557), _u4559)) )).
% 19.53/19.76 cnf(matrix-2844, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4560), _u4561)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4561), _u4560)) | ( _u4560 = _u4561) )).
% 19.53/19.76 cnf(matrix-2845, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4564), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4566), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4564), _u4566)) )).
% 19.53/19.76 cnf(matrix-2846, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4565), _u4567)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4565), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4567), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 19.53/19.76 cnf(matrix-2847, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4568), _u4569)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4570), _u4571)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4568), _u4570)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4569), _u4571))) )).
% 19.53/19.76 cnf(matrix-2848, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4572), _u4573)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4574), _u4572)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4574), _u4573))) )).
% 19.53/19.76 cnf(matrix-2849, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4577), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4579), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4577), _u4579)) )).
% 19.53/19.76 cnf(matrix-2850, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4578), _u4580)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4578), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4580), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 19.53/19.76 cnf(matrix-2851, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4583), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u4585)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4583), _u4585)) )).
% 19.53/19.76 cnf(matrix-2852, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4584), _u4586)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4584), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u4586)) )).
% 19.53/19.76 cnf(matrix-2853, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4587), _u4588)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4587), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u4588)) )).
% 19.53/19.76 cnf(matrix-2854, plain, ( ~class_Orderings_Olinorder(_u4589) | ( c_Big__Operators_Olinorder__class_OMin(_u4589, hAPP(hAPP(c_Set_Oinsert(_u4589), _u4590), c_Orderings_Obot__class_Obot(tc_fun(_u4589, tc_HOL_Obool)))) = _u4590) )).
% 19.53/19.76 cnf(matrix-2855, plain, ( ~class_Orderings_Olinorder(_u4591) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4591), _u4592)) | ~hBOOL(hAPP(hAPP(c_member(_u4591), _u4593), _u4592)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4591), _u4593), c_Big__Operators_Olattice_OInf__fin(_u4591, c_Orderings_Oord__class_Omin(_u4591), _u4592)) = c_Big__Operators_Olattice_OInf__fin(_u4591, c_Orderings_Oord__class_Omin(_u4591), _u4592)) )).
% 19.53/19.76 cnf(matrix-2856, plain, ( ~class_Orderings_Olinorder(_u4594) | ( c_Big__Operators_Olattice_OInf__fin(_u4594, c_Orderings_Oord__class_Omin(_u4594), hAPP(hAPP(c_Set_Oinsert(_u4594), _u4595), c_Orderings_Obot__class_Obot(tc_fun(_u4594, tc_HOL_Obool)))) = _u4595) )).
% 19.53/19.76 cnf(matrix-2857, plain, ( ~class_Orderings_Olinorder(_u4596) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4596), _u4597)) | ~hBOOL(hAPP(hAPP(c_member(_u4596), _u4598), _u4597)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4596), c_Big__Operators_Olinorder__class_OMin(_u4596, _u4597)), _u4598)) )).
% 19.53/19.76 cnf(matrix-2858, plain, ( ~class_Orderings_Olinorder(_u4599) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4599), _u4600)) | ( _u4600 = c_Orderings_Obot__class_Obot(tc_fun(_u4599, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u4599), c_Big__Operators_Olinorder__class_OMin(_u4599, _u4600)), _u4600)) )).
% 19.53/19.76 cnf(matrix-2859, plain, ( ~class_Orderings_Olinorder(_u4601) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4601), _u4602)) | ~hBOOL(hAPP(hAPP(c_member(_u4601), _u4603), _u4602)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4601), _u4603), c_Big__Operators_Olinorder__class_OMin(_u4601, _u4602)) = c_Big__Operators_Olinorder__class_OMin(_u4601, _u4602)) )).
% 19.53/19.76 cnf(matrix-2860, plain, ( ~class_Orderings_Olinorder(_u4604) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4604), _u4605)) | ( c_Big__Operators_Olattice_OInf__fin(_u4604, c_Orderings_Oord__class_Omin(_u4604), _u4605) = hAPP(c_Finite__Set_Ofold1(_u4604, c_Orderings_Oord__class_Omin(_u4604)), _u4605)) )).
% 19.53/19.76 cnf(matrix-2861, plain, ( ~class_Orderings_Olinorder(_u4606) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4606), _u4607)) | ( c_Big__Operators_Olinorder__class_OMin(_u4606, _u4607) = hAPP(c_Finite__Set_Ofold1(_u4606, c_Orderings_Oord__class_Omin(_u4606)), _u4607)) )).
% 19.53/19.76 cnf(matrix-2862, plain, ( ~class_Orderings_Olinorder(_u4608) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4608), _u4609)) | ( _u4609 = c_Orderings_Obot__class_Obot(tc_fun(_u4608, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u4608, c_Orderings_Oord__class_Omin(_u4608), hAPP(hAPP(c_Set_Oinsert(_u4608), _u4610), _u4609)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4608), _u4610), c_Big__Operators_Olattice_OInf__fin(_u4608, c_Orderings_Oord__class_Omin(_u4608), _u4609))) )).
% 19.53/19.76 cnf(matrix-2863, plain, ( ~class_Orderings_Olinorder(_u4611) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4611), _u4612)) | ( _u4613 = c_Orderings_Obot__class_Obot(tc_fun(_u4611, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4611, tc_HOL_Obool)), _u4613), _u4612)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4611), c_Big__Operators_Olattice_OInf__fin(_u4611, c_Orderings_Oord__class_Omin(_u4611), _u4613)), c_Big__Operators_Olattice_OInf__fin(_u4611, c_Orderings_Oord__class_Omin(_u4611), _u4612)) = c_Big__Operators_Olattice_OInf__fin(_u4611, c_Orderings_Oord__class_Omin(_u4611), _u4612)) )).
% 19.53/19.76 cnf(matrix-2864, plain, ( ~class_Orderings_Olinorder(_u4614) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4614), _u4615)) | ( _u4615 = c_Orderings_Obot__class_Obot(tc_fun(_u4614, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4614), _u4616)) | ( _u4616 = c_Orderings_Obot__class_Obot(tc_fun(_u4614, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u4614, c_Orderings_Oord__class_Omin(_u4614), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4614, tc_HOL_Obool)), _u4615), _u4616)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4614), c_Big__Operators_Olattice_OInf__fin(_u4614, c_Orderings_Oord__class_Omin(_u4614), _u4615)), c_Big__Operators_Olattice_OInf__fin(_u4614, c_Orderings_Oord__class_Omin(_u4614), _u4616))) )).
% 19.53/19.76 cnf(matrix-2865, plain, ( ~class_Orderings_Olinorder(_u4617) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4617, tc_HOL_Obool)), _u4618), _u4619)) | ( _u4618 = c_Orderings_Obot__class_Obot(tc_fun(_u4617, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4617), _u4619)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4617), c_Big__Operators_Olinorder__class_OMin(_u4617, _u4619)), c_Big__Operators_Olinorder__class_OMin(_u4617, _u4618))) )).
% 19.53/19.76 cnf(matrix-2866, plain, ( ~class_Orderings_Olinorder(_u4620) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4620), _u4621)) | ( c_Big__Operators_Olattice_OInf__fin(_u4620, c_Orderings_Oord__class_Omin(_u4620), hAPP(hAPP(c_Set_Oinsert(_u4620), _u4622), _u4621)) = hAPP(hAPP(c_Finite__Set_Ofold(_u4620, _u4620, c_Orderings_Oord__class_Omin(_u4620)), _u4622), _u4621)) )).
% 19.53/19.76 cnf(matrix-2867, plain, ( ~class_Orderings_Olinorder(_u4623) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4623), _u4624)) | ( _u4624 = c_Orderings_Obot__class_Obot(tc_fun(_u4623, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u4623, hAPP(hAPP(c_Set_Oinsert(_u4623), _u4625), _u4624)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4623), _u4625), c_Big__Operators_Olinorder__class_OMin(_u4623, _u4624))) )).
% 19.53/19.76 cnf(matrix-2868, plain, ( ~class_Orderings_Olinorder(_u4626) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4626), _u4627)) | ( _u4628 = c_Orderings_Obot__class_Obot(tc_fun(_u4626, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4626, tc_HOL_Obool)), _u4628), _u4627)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4626), c_Big__Operators_Olinorder__class_OMin(_u4626, _u4628)), c_Big__Operators_Olinorder__class_OMin(_u4626, _u4627)) = c_Big__Operators_Olinorder__class_OMin(_u4626, _u4627)) )).
% 19.53/19.76 cnf(matrix-2869, plain, ( ~class_Orderings_Olinorder(_u4629) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4629), _u4630)) | ( _u4630 = c_Orderings_Obot__class_Obot(tc_fun(_u4629, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4629), _u4631)) | ( _u4631 = c_Orderings_Obot__class_Obot(tc_fun(_u4629, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u4629, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4629, tc_HOL_Obool)), _u4630), _u4631)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4629), c_Big__Operators_Olinorder__class_OMin(_u4629, _u4630)), c_Big__Operators_Olinorder__class_OMin(_u4629, _u4631))) )).
% 19.53/19.76 cnf(matrix-2870, plain, ( ~class_Orderings_Olinorder(_u4632) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4632), _u4633)) | ( c_Big__Operators_Olinorder__class_OMin(_u4632, hAPP(hAPP(c_Set_Oinsert(_u4632), _u4634), _u4633)) = hAPP(hAPP(c_Finite__Set_Ofold(_u4632, _u4632, c_Orderings_Oord__class_Omin(_u4632)), _u4634), _u4633)) )).
% 19.53/19.76 cnf(matrix-2871, plain, ( ~class_Orderings_Olinorder(_u4635) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4635), _u4636)) | hBOOL(hAPP(hAPP(c_member(_u4635), _u4637), _u4636)) | ( _u4636 = c_Orderings_Obot__class_Obot(tc_fun(_u4635, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u4635, c_Orderings_Oord__class_Omin(_u4635), hAPP(hAPP(c_Set_Oinsert(_u4635), _u4637), _u4636)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4635), _u4637), c_Big__Operators_Olattice_OInf__fin(_u4635, c_Orderings_Oord__class_Omin(_u4635), _u4636))) )).
% 19.53/19.76 cnf(matrix-2872, plain, ( ~class_Orderings_Olinorder(_u4638) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4638), _u4639)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4638, tc_HOL_Obool)), _u4639), hAPP(hAPP(c_Set_Oinsert(_u4638), _u4640), c_Orderings_Obot__class_Obot(tc_fun(_u4638, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4638, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u4638, c_Orderings_Oord__class_Omin(_u4638), hAPP(hAPP(c_Set_Oinsert(_u4638), _u4640), _u4639)) = _u4640) )).
% 19.53/19.76 cnf(matrix-2873, plain, ( ~class_Orderings_Olinorder(_u4638) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4638), _u4639)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4638, tc_HOL_Obool)), _u4639), hAPP(hAPP(c_Set_Oinsert(_u4638), _u4640), c_Orderings_Obot__class_Obot(tc_fun(_u4638, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4638, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u4638, c_Orderings_Oord__class_Omin(_u4638), hAPP(hAPP(c_Set_Oinsert(_u4638), _u4640), _u4639)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4638), _u4640), c_Big__Operators_Olattice_OInf__fin(_u4638, c_Orderings_Oord__class_Omin(_u4638), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4638, tc_HOL_Obool)), _u4639), hAPP(hAPP(c_Set_Oinsert(_u4638), _u4640), c_Orderings_Obot__class_Obot(tc_fun(_u4638, tc_HOL_Obool))))))) )).
% 19.53/19.76 cnf(matrix-2874, plain, ( ~class_Orderings_Olinorder(_u4641) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4641), _u4642)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4641), _u4643)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4641, tc_HOL_Obool)), _u4642), _u4643) = c_Orderings_Obot__class_Obot(tc_fun(_u4641, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4641), c_Big__Operators_Olattice_OInf__fin(_u4641, c_Orderings_Oord__class_Omin(_u4641), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4641, tc_HOL_Obool)), _u4642), _u4643))), c_Big__Operators_Olattice_OInf__fin(_u4641, c_Orderings_Oord__class_Omin(_u4641), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4641, tc_HOL_Obool)), _u4642), _u4643))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4641), c_Big__Operators_Olattice_OInf__fin(_u4641, c_Orderings_Oord__class_Omin(_u4641), _u4642)), c_Big__Operators_Olattice_OInf__fin(_u4641, c_Orderings_Oord__class_Omin(_u4641), _u4643))) )).
% 19.53/19.76 cnf(matrix-2875, plain, ( ~class_Orderings_Olinorder(_u4644) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4644), _u4645)) | ( _u4645 = c_Orderings_Obot__class_Obot(tc_fun(_u4644, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4644), _u4646)) | ( _u4646 = c_Orderings_Obot__class_Obot(tc_fun(_u4644, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4644, tc_HOL_Obool)), _u4645), _u4646) != c_Orderings_Obot__class_Obot(tc_fun(_u4644, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u4644, c_Orderings_Oord__class_Omin(_u4644), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4644, tc_HOL_Obool)), _u4645), _u4646)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4644), c_Big__Operators_Olattice_OInf__fin(_u4644, c_Orderings_Oord__class_Omin(_u4644), _u4645)), c_Big__Operators_Olattice_OInf__fin(_u4644, c_Orderings_Oord__class_Omin(_u4644), _u4646))) )).
% 19.53/19.76 cnf(matrix-2876, plain, ( ~class_Orderings_Olinorder(_u4647) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4647), _u4648)) | hBOOL(hAPP(hAPP(c_member(_u4647), _u4649), _u4648)) | ( c_Big__Operators_Olattice_OInf__fin(_u4647, c_Orderings_Oord__class_Omin(_u4647), hAPP(hAPP(c_Set_Oinsert(_u4647), _u4649), _u4648)) = hAPP(hAPP(c_Finite__Set_Ofold(_u4647, _u4647, c_Orderings_Oord__class_Omin(_u4647)), _u4649), _u4648)) )).
% 19.53/19.76 cnf(matrix-2877, plain, ( ~class_Orderings_Olinorder(_u4650) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4650), _u4651)) | hBOOL(hAPP(hAPP(c_member(_u4650), _u4652), _u4651)) | ( _u4651 = c_Orderings_Obot__class_Obot(tc_fun(_u4650, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u4650, hAPP(hAPP(c_Set_Oinsert(_u4650), _u4652), _u4651)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4650), _u4652), c_Big__Operators_Olinorder__class_OMin(_u4650, _u4651))) )).
% 19.53/19.76 cnf(matrix-2878, plain, ( ~class_Orderings_Olinorder(_u4653) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4653), _u4654)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4653, tc_HOL_Obool)), _u4654), hAPP(hAPP(c_Set_Oinsert(_u4653), _u4655), c_Orderings_Obot__class_Obot(tc_fun(_u4653, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u4653, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u4653, hAPP(hAPP(c_Set_Oinsert(_u4653), _u4655), _u4654)) = _u4655) )).
% 19.53/19.76 cnf(matrix-2879, plain, ( ~class_Orderings_Olinorder(_u4653) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4653), _u4654)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4653, tc_HOL_Obool)), _u4654), hAPP(hAPP(c_Set_Oinsert(_u4653), _u4655), c_Orderings_Obot__class_Obot(tc_fun(_u4653, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u4653, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u4653, hAPP(hAPP(c_Set_Oinsert(_u4653), _u4655), _u4654)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4653), _u4655), c_Big__Operators_Olinorder__class_OMin(_u4653, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4653, tc_HOL_Obool)), _u4654), hAPP(hAPP(c_Set_Oinsert(_u4653), _u4655), c_Orderings_Obot__class_Obot(tc_fun(_u4653, tc_HOL_Obool))))))) )).
% 19.53/19.76 cnf(matrix-2880, plain, ( ~class_Orderings_Olinorder(_u4656) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4656), _u4657)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4656), _u4658)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4656, tc_HOL_Obool)), _u4657), _u4658) = c_Orderings_Obot__class_Obot(tc_fun(_u4656, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4656), c_Big__Operators_Olinorder__class_OMin(_u4656, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4656, tc_HOL_Obool)), _u4657), _u4658))), c_Big__Operators_Olinorder__class_OMin(_u4656, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4656, tc_HOL_Obool)), _u4657), _u4658))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4656), c_Big__Operators_Olinorder__class_OMin(_u4656, _u4657)), c_Big__Operators_Olinorder__class_OMin(_u4656, _u4658))) )).
% 19.53/19.76 cnf(matrix-2881, plain, ( ~class_Orderings_Olinorder(_u4659) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4659), _u4660)) | ( _u4660 = c_Orderings_Obot__class_Obot(tc_fun(_u4659, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4659), _u4661)) | ( _u4661 = c_Orderings_Obot__class_Obot(tc_fun(_u4659, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4659, tc_HOL_Obool)), _u4660), _u4661) != c_Orderings_Obot__class_Obot(tc_fun(_u4659, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u4659, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4659, tc_HOL_Obool)), _u4660), _u4661)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4659), c_Big__Operators_Olinorder__class_OMin(_u4659, _u4660)), c_Big__Operators_Olinorder__class_OMin(_u4659, _u4661))) )).
% 19.53/19.76 cnf(matrix-2882, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4662)) | ( _u4662 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4663), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4662), _u4664))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4663), _u4662)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u4664)) )).
% 19.53/19.76 cnf(matrix-2883, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4665)) | ( _u4665 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4666), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4665), _u4667))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4666)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4667), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-2884, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4668), _u4669)), _u4670))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4670), _u4668)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4668)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4669)) )).
% 19.53/19.76 cnf(matrix-2885, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4671), _u4672)), _u4673)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4673)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4671)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4672), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-2886, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4674), _u4675)), _u4676)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4674), _u4677)), _u4678))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4676)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4676), _u4674)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4678), _u4674)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4675), _u4677)) )).
% 19.53/19.76 cnf(matrix-2887, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4679), _u4680)), _u4681) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4682), _u4683)), _u4684)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4682), _u4683)), _u4684))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4684), _u4682)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4681)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4682)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4682), _u4679)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4680), _u4683)) )).
% 19.53/19.76 cnf(matrix-2888, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4685), _u4686)), _u4687)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4685), _u4688)), _u4689))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4689), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4685), _u4689)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4685), _u4687)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4688), _u4686)) )).
% 19.53/19.76 cnf(matrix-2889, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4690) = _u4690) )).
% 19.53/19.76 cnf(matrix-2890, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 19.53/19.76 cnf(matrix-2891, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4691), _u4692)), _u4693) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4694), _u4695)), _u4696)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4694), _u4695)), _u4696)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4693), _u4691)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4696)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4694)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4694), _u4691)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4695), _u4692)) )).
% 19.53/19.76 cnf(matrix-2892, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4697)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4698)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4697), _u4698))) )).
% 19.53/19.76 cnf(matrix-2893, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-2894, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4699)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4700)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4699), _u4700))) )).
% 19.53/19.76 cnf(matrix-2895, plain, ( ~class_Orderings_Olinorder(_u4703) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4703), _u4704)) | ( _u4704 = c_Orderings_Obot__class_Obot(tc_fun(_u4703, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u4703), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4703), skolem95(_u4704, _u4703)), skolem96(_u4704, _u4703))), hAPP(hAPP(c_Set_Oinsert(_u4703), skolem95(_u4704, _u4703)), hAPP(hAPP(c_Set_Oinsert(_u4703), skolem96(_u4704, _u4703)), c_Orderings_Obot__class_Obot(tc_fun(_u4703, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u4703), c_Big__Operators_Olattice_OInf__fin(_u4703, c_Orderings_Oord__class_Omin(_u4703), _u4704)), _u4704)) )).
% 19.53/19.76 cnf(matrix-2896, plain, ( ~class_Orderings_Olinorder(_u4707) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4707), _u4708)) | ( _u4708 = c_Orderings_Obot__class_Obot(tc_fun(_u4707, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u4707), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4707), skolem97(_u4708, _u4707)), skolem98(_u4708, _u4707))), hAPP(hAPP(c_Set_Oinsert(_u4707), skolem97(_u4708, _u4707)), hAPP(hAPP(c_Set_Oinsert(_u4707), skolem98(_u4708, _u4707)), c_Orderings_Obot__class_Obot(tc_fun(_u4707, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u4707), c_Big__Operators_Olinorder__class_OMin(_u4707, _u4708)), _u4708)) )).
% 19.53/19.76 cnf(matrix-2897, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-2898, plain, ( ~class_Int_Onumber__ring(_u4709) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4710))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4709), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4710)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4709), _u4710)) )).
% 19.53/19.76 cnf(matrix-2899, plain, ( ~class_Int_Onumber__ring(_u4709) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4710))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4709), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4710)) = c_Groups_Ozero__class_Ozero(_u4709)) )).
% 19.53/19.76 cnf(matrix-2900, plain, ( ~class_Nat_Osemiring__char__0(_u4711) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4711), _u4712) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4711), _u4713)) | ( _u4712 = _u4713) )).
% 19.53/19.76 cnf(matrix-2901, plain, ( ~class_Nat_Osemiring__char__0(_u4711) | ( _u4712 != _u4713) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4711), _u4712) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4711), _u4713)) )).
% 19.53/19.76 cnf(matrix-2902, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.53/19.76 cnf(matrix-2903, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4714))) )).
% 19.53/19.76 cnf(matrix-2904, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4715)) | ~hBOOL(hAPP(_u4720, _u4715)) | hBOOL(hAPP(_u4720, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem99(_u4720)))) )).
% 19.53/19.76 cnf(matrix-2905, plain, ( ~hBOOL(hAPP(_u4721, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem100(_u4721))) )).
% 19.53/19.76 cnf(matrix-2906, plain, ( ~hBOOL(hAPP(_u4721, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4717))) | hBOOL(hAPP(_u4721, skolem100(_u4721))) )).
% 19.53/19.76 cnf(matrix-2907, plain, ( hBOOL(hAPP(_u4727, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4723))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem101(_u4727))) )).
% 19.53/19.76 cnf(matrix-2908, plain, ( hBOOL(hAPP(_u4727, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4723))) | ~hBOOL(hAPP(_u4727, skolem101(_u4727))) )).
% 19.53/19.76 cnf(matrix-2909, plain, ( ~hBOOL(hAPP(_u4728, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem102(_u4728)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4725)) | hBOOL(hAPP(_u4728, _u4725)) )).
% 19.53/19.76 cnf(matrix-2910, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4731)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4733))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4731), _u4733)) )).
% 19.53/19.76 cnf(matrix-2911, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4732), _u4734)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4732)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4734))) )).
% 19.53/19.76 cnf(matrix-2912, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4737)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4739))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4737), _u4739)) )).
% 19.53/19.76 cnf(matrix-2913, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4738), _u4740)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4738)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4740))) )).
% 19.53/19.76 cnf(matrix-2914, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4741)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4742)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4741), _u4742))) )).
% 19.53/19.76 cnf(matrix-2915, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4743)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4744)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4743), _u4744))) )).
% 19.53/19.76 cnf(matrix-2916, plain, ( ( c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 19.53/19.76 cnf(matrix-2917, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.53/19.76 cnf(matrix-2918, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4746) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u4746 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.76 cnf(matrix-2919, plain, ( ( _u4747 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4747) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.53/19.76 cnf(matrix-2920, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4748))) )).
% 19.53/19.76 cnf(matrix-2921, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4749)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-2922, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4752)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4754))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4752), _u4754)) )).
% 19.53/19.76 cnf(matrix-2923, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4753), _u4755)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4753)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4755))) )).
% 19.53/19.76 cnf(matrix-2924, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4758)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4760))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4758), _u4760)) )).
% 19.53/19.76 cnf(matrix-2925, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4759), _u4761)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4759)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4761))) )).
% 19.53/19.76 cnf(matrix-2926, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4762)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4763)), _u4764)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4762), _u4763))), _u4764)) )).
% 19.53/19.76 cnf(matrix-2927, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4765)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4766)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4765), _u4766))) )).
% 19.53/19.76 cnf(matrix-2928, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4771), _u4773)) | ( _u4773 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4771), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem103(_u4773, _u4771)))) )).
% 19.53/19.76 cnf(matrix-2929, plain, ( ( _u4774 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4772), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4768))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4772), _u4774)) )).
% 19.53/19.76 cnf(matrix-2930, plain, ( ~class_Rings_Olinordered__semidom(_u4775) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4775), c_Groups_Ozero__class_Ozero(_u4775)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4775), _u4776))) )).
% 19.53/19.76 cnf(matrix-2931, plain, ( ~class_Rings_Olinordered__semidom(_u4777) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4777), c_Groups_Ozero__class_Ozero(_u4777)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4777), _u4778))) )).
% 19.53/19.76 cnf(matrix-2932, plain, ( ~class_Rings_Olinordered__semidom(_u4779) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4779), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4779), _u4780)), c_Groups_Ozero__class_Ozero(_u4779))) )).
% 19.53/19.76 cnf(matrix-2933, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4781)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4782)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4781), _u4782))) )).
% 19.53/19.76 cnf(matrix-2934, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4783), _u4784)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4783)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4784))) )).
% 19.53/19.76 cnf(matrix-2935, plain, ( ~class_Rings_Osemiring__1(_u4785) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4785), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(_u4785)) )).
% 19.53/19.76 cnf(matrix-2936, plain, ( ~class_Rings_Olinordered__semidom(_u4786) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4786), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4786), _u4787)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4786), _u4788))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4787), _u4788)) )).
% 19.53/19.76 cnf(matrix-2937, plain, ( ~class_Rings_Olinordered__semidom(_u4789) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4790), _u4791)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4789), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4789), _u4790)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4789), _u4791))) )).
% 19.53/19.76 cnf(matrix-2938, plain, ( ~class_Rings_Olinordered__semidom(_u4792) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4792), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4792), _u4793)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4792), _u4794))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4793), _u4794)) )).
% 19.53/19.76 cnf(matrix-2939, plain, ( ~class_Rings_Olinordered__semidom(_u4792) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4793), _u4794)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4792), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4792), _u4793)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4792), _u4794))) )).
% 19.53/19.76 cnf(matrix-2940, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 19.53/19.76 cnf(matrix-2941, plain, ( ~class_Rings_Olinordered__semidom(_u4795) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4795), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4795), _u4796)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4795), _u4797))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4796), _u4797)) )).
% 19.53/19.76 cnf(matrix-2942, plain, ( ~class_Rings_Olinordered__semidom(_u4795) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4796), _u4797)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4795), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4795), _u4796)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4795), _u4797))) )).
% 19.53/19.76 cnf(matrix-2943, plain, ( ~class_Rings_Osemiring__1(_u4798) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4798), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4799), _u4800)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4798), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4798), _u4799)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4798), _u4800))) )).
% 19.53/19.76 cnf(matrix-2944, plain, ( ~class_Rings_Osemiring__1(_u4801) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4801), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4802), _u4803)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4801), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4801), _u4802)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4801), _u4803))) )).
% 19.53/19.76 cnf(matrix-2945, plain, ( ~class_Rings_Osemiring__1(_u4804) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4804), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u4804)) )).
% 19.53/19.76 cnf(matrix-2946, plain, ( ~class_Rings_Oring__1(_u4805) | hBOOL(hAPP(hAPP(c_member(_u4805), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4805), _u4806)), c_Int_Oring__1__class_OInts(_u4805))) )).
% 19.53/19.76 cnf(matrix-2947, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4808)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u4808 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.76 cnf(matrix-2948, plain, ( ( _u4809 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4809)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-2949, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 19.53/19.76 cnf(matrix-2950, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4814), _u4816)) | ( _u4816 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4814), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem104(_u4816, _u4814))))) )).
% 19.53/19.76 cnf(matrix-2951, plain, ( ( _u4817 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4815), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u4811)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4815), _u4817)) )).
% 19.53/19.76 cnf(matrix-2952, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u4818)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4818))) )).
% 19.53/19.76 cnf(matrix-2953, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4819), _u4820)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4820)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4819)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4820), _u4819))) )).
% 19.53/19.76 cnf(matrix-2954, plain, ( ~class_Rings_Osemiring__1(_u4821) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4821), hAPP(c_Nat_OSuc, _u4822)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4821), c_Groups_Oone__class_Oone(_u4821)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4821), _u4822))) )).
% 19.53/19.76 cnf(matrix-2955, plain, ( ~class_Rings_Oring__1(_u4823) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4824), _u4825)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4823), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4825), _u4824)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4823), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4823), _u4825)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4823), _u4824))) )).
% 19.53/19.76 cnf(matrix-2956, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4827))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4827)) )).
% 19.53/19.76 cnf(matrix-2957, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4828)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4828))) )).
% 19.53/19.76 cnf(matrix-2958, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4829), _u4830)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4831)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4831)), _u4829)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4831)), _u4830))) )).
% 19.53/19.76 cnf(matrix-2959, plain, ( ~class_Rings_Olinordered__semidom(_u4832) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4832), c_Groups_Ozero__class_Ozero(_u4832)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4832), _u4833))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4833)) )).
% 19.53/19.76 cnf(matrix-2960, plain, ( ~class_Rings_Olinordered__semidom(_u4832) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4833)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4832), c_Groups_Ozero__class_Ozero(_u4832)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4832), _u4833))) )).
% 19.53/19.76 cnf(matrix-2961, plain, ( ~hBOOL(hAPP(_u4837, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4839), _u4841)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4841), _u4839)) | hBOOL(hAPP(_u4837, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4839)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4841)))) )).
% 19.53/19.76 cnf(matrix-2962, plain, ( ~hBOOL(hAPP(_u4837, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4839), _u4841)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4839), _u4841)) | hBOOL(hAPP(_u4837, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-2963, plain, ( hBOOL(hAPP(_u4838, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4840), _u4842)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4842), _u4840)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4840), _u4842)) )).
% 19.53/19.76 cnf(matrix-2964, plain, ( hBOOL(hAPP(_u4838, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4840), _u4842)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4842), _u4840)) | ~hBOOL(hAPP(_u4838, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-2965, plain, ( hBOOL(hAPP(_u4838, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4840), _u4842)))) | ~hBOOL(hAPP(_u4838, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4840)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4842)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4840), _u4842)) )).
% 19.53/19.76 cnf(matrix-2966, plain, ( hBOOL(hAPP(_u4838, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4840), _u4842)))) | ~hBOOL(hAPP(_u4838, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4840)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4842)))) | ~hBOOL(hAPP(_u4838, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-2967, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u4844) | ~class_Rings_Osemiring__1(_u4844) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4844), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4845, _u4844), _u4847), _u4846)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4844), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4844), hAPP(c_Finite__Set_Ocard(_u4845), _u4846))), _u4848))) | hBOOL(hAPP(hAPP(c_member(_u4845), skolem105(_u4848, _u4847, _u4846, _u4845, _u4844)), _u4846)) )).
% 19.53/19.76 cnf(matrix-2968, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u4844) | ~class_Rings_Osemiring__1(_u4844) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4844), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4845, _u4844), _u4847), _u4846)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4844), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4844), hAPP(c_Finite__Set_Ocard(_u4845), _u4846))), _u4848))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4844), hAPP(_u4847, skolem105(_u4848, _u4847, _u4846, _u4845, _u4844))), _u4848)) )).
% 19.53/19.76 cnf(matrix-2969, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4851), _u4853)) | ( c_Nat__Transfer_Otsub(_u4853, _u4851) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4853), _u4851)) )).
% 19.53/19.76 cnf(matrix-2970, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4852), _u4854)) | ( c_Nat__Transfer_Otsub(_u4854, _u4852) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.53/19.76 cnf(matrix-2971, plain, ( ~class_Int_Onumber__ring(_u4855) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4856))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4855), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4856)) = c_Groups_Ozero__class_Ozero(_u4855)) )).
% 19.53/19.76 cnf(matrix-2972, plain, ( ~class_Int_Onumber__ring(_u4855) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4856))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4855), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4856)) = hAPP(c_Int_Onumber__class_Onumber__of(_u4855), _u4856)) )).
% 19.53/19.76 cnf(matrix-2973, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4860), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4860)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4862)), _u4864)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.76 cnf(matrix-2974, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4861), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4861)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4863)), _u4865)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4861), _u4863))), _u4865)) )).
% 19.53/19.76 cnf(matrix-2975, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4868), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4868)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4870)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.76 cnf(matrix-2976, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4869), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4869)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4871)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u4869), _u4871))) )).
% 19.53/19.76 cnf(matrix-2977, plain, ( ~class_Orderings_Olinorder(_u4873) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4873), _u4874)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4873), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4873), _u4875), _u4876)), hAPP(hAPP(c_Finite__Set_Ofold(_u4873, _u4873, c_Orderings_Oord__class_Omin(_u4873)), _u4876), _u4874))) | hBOOL(hAPP(hAPP(c_member(_u4873), skolem106(_u4876, _u4875, _u4874, _u4873)), _u4874)) )).
% 19.53/19.76 cnf(matrix-2978, plain, ( ~class_Orderings_Olinorder(_u4873) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4873), _u4874)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4873), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u4873), _u4875), _u4876)), hAPP(hAPP(c_Finite__Set_Ofold(_u4873, _u4873, c_Orderings_Oord__class_Omin(_u4873)), _u4876), _u4874))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4873), _u4875), skolem106(_u4876, _u4875, _u4874, _u4873))) )).
% 19.53/19.76 cnf(matrix-2979, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4879) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4881)) | ( _u4879 = _u4881) )).
% 19.53/19.76 cnf(matrix-2980, plain, ( ( _u4880 != _u4882) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4880) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4882)) )).
% 19.53/19.76 cnf(matrix-2981, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4885) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4887)) | ( _u4885 = _u4887) )).
% 19.53/19.76 cnf(matrix-2982, plain, ( ( _u4886 != _u4888) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4886) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4888)) )).
% 19.53/19.76 cnf(matrix-2983, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4889))) )).
% 19.53/19.76 cnf(matrix-2984, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls))) )).
% 19.53/19.76 cnf(matrix-2985, plain, ( ( c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.53/19.76 cnf(matrix-2986, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 19.53/19.76 cnf(matrix-2987, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 19.53/19.76 cnf(matrix-2988, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4890), c_Int_OPls) = _u4890) )).
% 19.53/19.76 cnf(matrix-2989, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), _u4891) = _u4891) )).
% 19.53/19.76 cnf(matrix-2990, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OPls), _u4892) = c_Int_OPls) )).
% 19.53/19.76 cnf(matrix-2991, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4893), c_Int_OPls) = _u4893) )).
% 19.53/19.76 cnf(matrix-2992, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-2993, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-2994, plain, ( ~class_Int_Onumber__ring(_u4894) | ( c_Groups_Ozero__class_Ozero(_u4894) = hAPP(c_Int_Onumber__class_Onumber__of(_u4894), c_Int_OPls)) )).
% 19.53/19.76 cnf(matrix-2995, plain, ( ~class_Int_Onumber__ring(_u4895) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u4895), c_Int_OPls) = c_Groups_Ozero__class_Ozero(_u4895)) )).
% 19.53/19.76 cnf(matrix-2996, plain, ( ~class_Int_Onumber__ring(_u4896) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4896), hAPP(c_Int_Onumber__class_Onumber__of(_u4896), c_Int_OPls)), _u4897) = _u4897) )).
% 19.53/19.76 cnf(matrix-2997, plain, ( ~class_Int_Onumber__ring(_u4898) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4898), _u4899), hAPP(c_Int_Onumber__class_Onumber__of(_u4898), c_Int_OPls)) = _u4899) )).
% 19.53/19.76 cnf(matrix-2998, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls))) )).
% 19.53/19.76 cnf(matrix-2999, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-3000, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.76 cnf(matrix-3001, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls)) )).
% 19.53/19.76 cnf(matrix-3002, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls)) )).
% 19.53/19.76 cnf(matrix-3003, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4901)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4901)) )).
% 19.53/19.76 cnf(matrix-3004, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4902)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4902)) )).
% 19.53/19.76 cnf(matrix-3005, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4904)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4904), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-3006, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4905), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, _u4905)) )).
% 19.53/19.76 cnf(matrix-3007, plain, ( ( c_Nat__Transfer_Otsub(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4906), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4907)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4906), _u4907))) )).
% 19.53/19.76 cnf(matrix-3008, plain, ( ~class_Fields_Ofield__inverse__zero(_u4908) | ~class_Int_Onumber__ring(_u4908) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u4908), _u4909), hAPP(c_Int_Onumber__class_Onumber__of(_u4908), c_Int_OPls)) = c_Groups_Ozero__class_Ozero(_u4908)) )).
% 19.53/19.76 cnf(matrix-3009, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4911) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4911), c_Int_OPls)) )).
% 19.53/19.76 cnf(matrix-3010, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4912), c_Int_OPls)) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4912) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.76 cnf(matrix-3011, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4914)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4914), c_Int_OPls)) )).
% 19.53/19.76 cnf(matrix-3012, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4915), c_Int_OPls)) | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4915)) )).
% 19.53/19.76 cnf(matrix-3013, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4918)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4920))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4918), _u4920)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4920)) )).
% 19.53/19.76 cnf(matrix-3014, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4918)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4920))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4918), _u4920)) )).
% 19.53/19.76 cnf(matrix-3015, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4919)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4921))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4919), _u4921)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4921)) )).
% 19.53/19.76 cnf(matrix-3016, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4924)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4926))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4924), _u4926)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4924), c_Int_OPls)) )).
% 19.53/19.76 cnf(matrix-3017, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4925)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4927))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4925), _u4927)) )).
% 19.53/19.76 cnf(matrix-3018, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4925)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4927))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4925), c_Int_OPls)) )).
% 19.53/19.76 cnf(matrix-3019, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4928))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4928) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.76 cnf(matrix-3020, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4930))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4930)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.53/19.76 cnf(matrix-3021, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4931))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4931)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4931)) )).
% 19.53/19.76 cnf(matrix-3022, plain, ( ~class_Int_Onumber__ring(_u4932) | ~class_Rings_Olinordered__idom(_u4932) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4932), hAPP(c_Int_Onumber__class_Onumber__of(_u4932), _u4933)), c_Groups_Ozero__class_Ozero(_u4932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4933), c_Int_OPls)) )).
% 19.53/19.76 cnf(matrix-3023, plain, ( ~class_Int_Onumber__ring(_u4932) | ~class_Rings_Olinordered__idom(_u4932) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4933), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4932), hAPP(c_Int_Onumber__class_Onumber__of(_u4932), _u4933)), c_Groups_Ozero__class_Ozero(_u4932))) )).
% 19.53/19.76 cnf(matrix-3024, plain, ( ~class_Int_Onumber__ring(_u4934) | ~class_Rings_Olinordered__idom(_u4934) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4934), c_Groups_Ozero__class_Ozero(_u4934)), hAPP(c_Int_Onumber__class_Onumber__of(_u4934), _u4935))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4935)) )).
% 19.53/19.76 cnf(matrix-3025, plain, ( ~class_Int_Onumber__ring(_u4934) | ~class_Rings_Olinordered__idom(_u4934) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4935)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4934), c_Groups_Ozero__class_Ozero(_u4934)), hAPP(c_Int_Onumber__class_Onumber__of(_u4934), _u4935))) )).
% 19.53/19.76 cnf(matrix-3026, plain, ( ~class_Int_Onumber__ring(_u4936) | ~class_Rings_Olinordered__idom(_u4936) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4936), c_Groups_Ozero__class_Ozero(_u4936)), hAPP(c_Int_Onumber__class_Onumber__of(_u4936), _u4937))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4937)) )).
% 19.53/19.76 cnf(matrix-3027, plain, ( ~class_Int_Onumber__ring(_u4936) | ~class_Rings_Olinordered__idom(_u4936) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4937)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4936), c_Groups_Ozero__class_Ozero(_u4936)), hAPP(c_Int_Onumber__class_Onumber__of(_u4936), _u4937))) )).
% 19.53/19.76 cnf(matrix-3028, plain, ( ~class_Int_Onumber__ring(_u4938) | ~class_Rings_Olinordered__idom(_u4938) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4938), hAPP(c_Int_Onumber__class_Onumber__of(_u4938), _u4939)), c_Groups_Ozero__class_Ozero(_u4938))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4939), c_Int_OPls)) )).
% 19.53/19.76 cnf(matrix-3029, plain, ( ~class_Int_Onumber__ring(_u4938) | ~class_Rings_Olinordered__idom(_u4938) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4939), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4938), hAPP(c_Int_Onumber__class_Onumber__of(_u4938), _u4939)), c_Groups_Ozero__class_Ozero(_u4938))) )).
% 19.53/19.76 cnf(matrix-3030, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4941))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4941)) )).
% 19.53/19.76 cnf(matrix-3031, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4942)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4942))) )).
% 19.53/19.76 cnf(matrix-3032, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4945), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4945)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4947)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4947)) )).
% 19.53/19.76 cnf(matrix-3033, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4946), c_Int_OPls)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4948), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4946)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4948)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4946)) )).
% 19.53/19.76 cnf(matrix-3034, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4946), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4948), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4946)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4948)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4946), _u4948))) )).
% 19.53/19.76 cnf(matrix-3035, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4951) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4953)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4951))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4953)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-3036, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4951) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4953)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4951))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4953))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4951) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.53/19.76 cnf(matrix-3037, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4951) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4953)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4951))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4953))) | ( _u4951 = _u4953) )).
% 19.53/19.76 cnf(matrix-3038, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4952) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4954)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4952))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4954))) | ( _u4952 != _u4954) )).
% 19.53/19.76 cnf(matrix-3039, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4952) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4954)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4952))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4952) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4954))) )).
% 19.53/19.76 cnf(matrix-3040, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4952) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4954)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4952))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4952) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u4952 != _u4954) )).
% 19.53/19.76 cnf(matrix-3041, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4952) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4954)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4954)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4952))) )).
% 19.53/19.76 cnf(matrix-3042, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4952) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4954)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4954)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4954))) | ( _u4952 != _u4954) )).
% 19.53/19.76 cnf(matrix-3043, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4952) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4954)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4954)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4952) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4954))) )).
% 19.53/19.76 cnf(matrix-3044, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4952) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4954)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4954)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4952) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u4952 != _u4954) )).
% 19.53/19.76 cnf(matrix-3045, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4958))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4958)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4960)), _u4962)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4960)), _u4962)) )).
% 19.53/19.76 cnf(matrix-3046, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4959))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4961))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4959)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4961)), _u4963)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4959)), _u4963)) )).
% 19.53/19.76 cnf(matrix-3047, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4959))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4961))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4959)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4961)), _u4963)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4959), _u4961))), _u4963)) )).
% 19.53/19.76 cnf(matrix-3048, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4964)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u4965)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Nat__Transfer_Otsub(_u4964, _u4965))) )).
% 19.53/19.76 cnf(matrix-3049, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4966), _u4967)) | ( c_Nat__Transfer_Otsub(_u4967, _u4966) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4967), _u4966)) )).
% 19.53/19.76 cnf(matrix-3050, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4970))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4970)), _u4972)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u4972)) )).
% 19.53/19.76 cnf(matrix-3051, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4971))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4971)), _u4973)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4971))), _u4973)) )).
% 19.53/19.76 cnf(matrix-3052, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4975))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4975)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 19.53/19.76 cnf(matrix-3053, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u4976))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4976)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4976))) )).
% 19.53/19.76 cnf(matrix-3054, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4978), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4978)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 19.53/19.76 cnf(matrix-3055, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4979), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4979)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4979))) )).
% 19.53/19.76 cnf(matrix-3056, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4981), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4981)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 19.53/19.76 cnf(matrix-3057, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4982), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4982)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u4982))) )).
% 19.53/19.76 cnf(matrix-3058, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4984), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4984)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.76 cnf(matrix-3059, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4985), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4985)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u4985))) )).
% 19.53/19.76 cnf(matrix-3060, plain, ( ~class_Int_Onumber__ring(_u4986) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u4987)) | hBOOL(hAPP(hAPP(c_member(_u4986), hAPP(c_Int_Onumber__class_Onumber__of(_u4986), _u4987)), c_Nat_Osemiring__1__class_ONats(_u4986))) )).
% 19.53/19.76 cnf(matrix-3061, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u4988)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4989)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u4988)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4989), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u4988)))) )).
% 19.53/19.76 cnf(matrix-3062, plain, ( ( c_Int_Osucc(c_Int_Opred(_u4990)) = _u4990) )).
% 19.53/19.76 cnf(matrix-3063, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4993), _u4995)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u4993)), _u4995)) )).
% 19.53/19.76 cnf(matrix-3064, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u4994)), _u4996)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u4994), _u4996)) )).
% 19.53/19.76 cnf(matrix-3065, plain, ( ( c_Int_Opred(_u4997) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u4997), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-3066, plain, ( ( c_Int_Osucc(_u4998) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4998), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-3067, plain, ( ~class_Rings_Osemiring__1(_u4999) | hBOOL(hAPP(hAPP(c_member(_u4999), c_Groups_Ozero__class_Ozero(_u4999)), c_Nat_Osemiring__1__class_ONats(_u4999))) )).
% 19.53/19.76 cnf(matrix-3068, plain, ( ~class_Rings_Osemiring__1(_u5000) | ~hBOOL(hAPP(hAPP(c_member(_u5000), _u5001), c_Nat_Osemiring__1__class_ONats(_u5000))) | ~hBOOL(hAPP(hAPP(c_member(_u5000), _u5002), c_Nat_Osemiring__1__class_ONats(_u5000))) | hBOOL(hAPP(hAPP(c_member(_u5000), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5000), _u5001), _u5002)), c_Nat_Osemiring__1__class_ONats(_u5000))) )).
% 19.53/19.76 cnf(matrix-3069, plain, ( ~class_Rings_Osemiring__1(_u5003) | ~hBOOL(hAPP(hAPP(c_member(_u5003), _u5004), c_Nat_Osemiring__1__class_ONats(_u5003))) | ~hBOOL(hAPP(hAPP(c_member(_u5003), _u5005), c_Nat_Osemiring__1__class_ONats(_u5003))) | hBOOL(hAPP(hAPP(c_member(_u5003), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5003), _u5004), _u5005)), c_Nat_Osemiring__1__class_ONats(_u5003))) )).
% 19.53/19.76 cnf(matrix-3070, plain, ( ~class_Rings_Osemiring__1(_u5006) | hBOOL(hAPP(hAPP(c_member(_u5006), c_Groups_Oone__class_Oone(_u5006)), c_Nat_Osemiring__1__class_ONats(_u5006))) )).
% 19.53/19.76 cnf(matrix-3071, plain, ( ~class_Rings_Osemiring__1(_u5007) | hBOOL(hAPP(hAPP(c_member(_u5007), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5007), _u5008)), c_Nat_Osemiring__1__class_ONats(_u5007))) )).
% 19.53/19.76 cnf(matrix-3072, plain, ( ~class_Int_Onumber__ring(_u5009) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5009), c_Int_Osucc(_u5010)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5009), c_Groups_Oone__class_Oone(_u5009)), hAPP(c_Int_Onumber__class_Onumber__of(_u5009), _u5010))) )).
% 19.53/19.76 cnf(matrix-3073, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u5012)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5012) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.76 cnf(matrix-3074, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u5013) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u5013)))) )).
% 19.53/19.76 cnf(matrix-3075, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5016)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5018)) | ~hBOOL(hAPP(_u5017, _u5015)) | hBOOL(hAPP(_u5017, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5015), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5018), _u5016)))) | hBOOL(hAPP(_u5017, skolem107(_u5018, _u5017, _u5016))) )).
% 19.53/19.76 cnf(matrix-3076, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5016)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5018)) | ~hBOOL(hAPP(_u5017, _u5015)) | hBOOL(hAPP(_u5017, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5015), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5018), _u5016)))) | ~hBOOL(hAPP(_u5017, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem107(_u5018, _u5017, _u5016)), _u5016))) )).
% 19.53/19.76 cnf(matrix-3077, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5021)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5023)) | ~hBOOL(hAPP(_u5022, _u5020)) | hBOOL(hAPP(_u5022, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5020), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5023), _u5021)))) | hBOOL(hAPP(_u5022, skolem108(_u5023, _u5022, _u5021))) )).
% 19.53/19.76 cnf(matrix-3078, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5021)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5023)) | ~hBOOL(hAPP(_u5022, _u5020)) | hBOOL(hAPP(_u5022, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5020), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5023), _u5021)))) | ~hBOOL(hAPP(_u5022, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem108(_u5023, _u5022, _u5021)), _u5021))) )).
% 19.53/19.76 cnf(matrix-3079, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5025)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem109(_u5025))) )).
% 19.53/19.76 cnf(matrix-3080, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5025)) | ( _u5025 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem109(_u5025))) )).
% 19.53/19.76 cnf(matrix-3081, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5026)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5027), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5028), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5028), _u5027))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5026)))) )).
% 19.53/19.76 cnf(matrix-3082, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5029)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5030), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5030), _u5031))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5029))), _u5031)) )).
% 19.53/19.76 cnf(matrix-3083, plain, ( ~class_Orderings_Olinorder(_u5033) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5033), _u5034)) | ~hBOOL(hAPP(hAPP(c_member(_u5033), _u5035), _u5034)) | ( c_Big__Operators_Olinorder__class_OMin(_u5033, _u5034) = _u5035) | hBOOL(hAPP(hAPP(c_member(_u5033), skolem110(_u5035, _u5034, _u5033)), _u5034)) )).
% 19.53/19.76 cnf(matrix-3084, plain, ( ~class_Orderings_Olinorder(_u5033) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u5033), _u5034)) | ~hBOOL(hAPP(hAPP(c_member(_u5033), _u5035), _u5034)) | ( c_Big__Operators_Olinorder__class_OMin(_u5033, _u5034) = _u5035) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5033), _u5035), skolem110(_u5035, _u5034, _u5033))) )).
% 19.53/19.76 cnf(matrix-3085, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls)), _u5036)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5037)), _u5036) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5037), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5036), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls))))) )).
% 19.53/19.76 cnf(matrix-3086, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5038) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5038), hAPP(c_Groups_Oabs__class_Oabs(_u5038), _u5039)) = hAPP(c_Groups_Oabs__class_Oabs(_u5038), _u5039)) )).
% 19.53/19.76 cnf(matrix-3087, plain, ( ( c_Int_OBit1(_u5042) != c_Int_OBit1(_u5044)) | ( _u5042 = _u5044) )).
% 19.53/19.76 cnf(matrix-3088, plain, ( ( _u5043 != _u5045) | ( c_Int_OBit1(_u5043) = c_Int_OBit1(_u5045)) )).
% 19.53/19.76 cnf(matrix-3089, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5046) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5046), _u5047), hAPP(c_Groups_Oabs__class_Oabs(_u5046), _u5047))) )).
% 19.53/19.76 cnf(matrix-3090, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5048) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5048), hAPP(c_Groups_Oabs__class_Oabs(_u5048), _u5049)), _u5050)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5048), _u5049), _u5050)) )).
% 19.53/19.76 cnf(matrix-3091, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5051) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5051), _u5052) != c_Groups_Ozero__class_Ozero(_u5051)) | ( _u5052 = c_Groups_Ozero__class_Ozero(_u5051)) )).
% 19.53/19.76 cnf(matrix-3092, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5051) | ( _u5052 != c_Groups_Ozero__class_Ozero(_u5051)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5051), _u5052) = c_Groups_Ozero__class_Ozero(_u5051)) )).
% 19.53/19.76 cnf(matrix-3093, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5053) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5053), c_Groups_Ozero__class_Ozero(_u5053)) = c_Groups_Ozero__class_Ozero(_u5053)) )).
% 19.53/19.76 cnf(matrix-3094, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5054) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5054), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5054), hAPP(c_Groups_Oabs__class_Oabs(_u5054), _u5055)), hAPP(c_Groups_Oabs__class_Oabs(_u5054), _u5056))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5054), hAPP(c_Groups_Oabs__class_Oabs(_u5054), _u5055)), hAPP(c_Groups_Oabs__class_Oabs(_u5054), _u5056))) )).
% 19.53/19.76 cnf(matrix-3095, plain, ( ~class_Rings_Olinordered__idom(_u5057) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5057), hAPP(c_Groups_Oabs__class_Oabs(_u5057), _u5058)), hAPP(c_Groups_Oabs__class_Oabs(_u5057), _u5058)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5057), _u5058), _u5058)) )).
% 19.53/19.76 cnf(matrix-3096, plain, ( ~class_Rings_Olinordered__idom(_u5059) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5059), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5059), _u5060), _u5061)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5059), hAPP(c_Groups_Oabs__class_Oabs(_u5059), _u5060)), hAPP(c_Groups_Oabs__class_Oabs(_u5059), _u5061))) )).
% 19.53/19.76 cnf(matrix-3097, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5062) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5062), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5062), _u5063), _u5064)) = hAPP(c_Groups_Oabs__class_Oabs(_u5062), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5062), _u5064), _u5063))) )).
% 19.53/19.76 cnf(matrix-3098, plain, ( ~class_Rings_Olinordered__idom(_u5065) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5065), c_Groups_Oone__class_Oone(_u5065)) = c_Groups_Oone__class_Oone(_u5065)) )).
% 19.53/19.76 cnf(matrix-3099, plain, ( ~class_Rings_Olinordered__idom(_u5066) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5066), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5066), _u5067)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5066), _u5067)) )).
% 19.53/19.76 cnf(matrix-3100, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5068) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5068), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5068), _u5069), _u5070)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5068), hAPP(c_Groups_Oabs__class_Oabs(_u5068), _u5069)), hAPP(c_Groups_Oabs__class_Oabs(_u5068), _u5070))) )).
% 19.53/19.76 cnf(matrix-3101, plain, ( ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5071)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5071)) )).
% 19.53/19.76 cnf(matrix-3102, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5074)), c_Int_OBit1(_u5076))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5074), _u5076)) )).
% 19.53/19.76 cnf(matrix-3103, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5075), _u5077)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5075)), c_Int_OBit1(_u5077))) )).
% 19.53/19.76 cnf(matrix-3104, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5080)), c_Int_OBit1(_u5082))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5080), _u5082)) )).
% 19.53/19.76 cnf(matrix-3105, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5081), _u5083)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5081)), c_Int_OBit1(_u5083))) )).
% 19.53/19.76 cnf(matrix-3106, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5086)), c_Int_OBit1(_u5088))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5086), _u5088)) )).
% 19.53/19.76 cnf(matrix-3107, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5087), _u5089)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5087)), c_Int_OBit1(_u5089))) )).
% 19.53/19.76 cnf(matrix-3108, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5092)), c_Int_OBit1(_u5094))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5092), _u5094)) )).
% 19.53/19.76 cnf(matrix-3109, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5093), _u5095)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5093)), c_Int_OBit1(_u5095))) )).
% 19.53/19.76 cnf(matrix-3110, plain, ( ( c_Int_OBit1(_u5096) != c_Int_OPls) )).
% 19.53/19.76 cnf(matrix-3111, plain, ( ( c_Int_OPls != c_Int_OBit1(_u5097)) )).
% 19.53/19.76 cnf(matrix-3112, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5098) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5098), c_Groups_Ozero__class_Ozero(_u5098)), _u5099)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5098), _u5099) = _u5099) )).
% 19.53/19.76 cnf(matrix-3113, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5100) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5100), hAPP(c_Groups_Oabs__class_Oabs(_u5100), _u5101)), c_Groups_Ozero__class_Ozero(_u5100))) | ( _u5101 = c_Groups_Ozero__class_Ozero(_u5100)) )).
% 19.53/19.76 cnf(matrix-3114, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5100) | ( _u5101 != c_Groups_Ozero__class_Ozero(_u5100)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5100), hAPP(c_Groups_Oabs__class_Oabs(_u5100), _u5101)), c_Groups_Ozero__class_Ozero(_u5100))) )).
% 19.53/19.76 cnf(matrix-3115, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5102) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5102), c_Groups_Ozero__class_Ozero(_u5102)), hAPP(c_Groups_Oabs__class_Oabs(_u5102), _u5103))) )).
% 19.53/19.76 cnf(matrix-3116, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5104) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5104), hAPP(c_Groups_Oabs__class_Oabs(_u5104), _u5105)), c_Groups_Ozero__class_Ozero(_u5104))) )).
% 19.53/19.76 cnf(matrix-3117, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5106) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5106), c_Groups_Ozero__class_Ozero(_u5106)), hAPP(c_Groups_Oabs__class_Oabs(_u5106), _u5107))) | ( _u5107 != c_Groups_Ozero__class_Ozero(_u5106)) )).
% 19.53/19.76 cnf(matrix-3118, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5106) | ( _u5107 = c_Groups_Ozero__class_Ozero(_u5106)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5106), c_Groups_Ozero__class_Ozero(_u5106)), hAPP(c_Groups_Oabs__class_Oabs(_u5106), _u5107))) )).
% 19.53/19.76 cnf(matrix-3119, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5108) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5108), c_Groups_Ozero__class_Ozero(_u5108)), _u5109)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5108), _u5109) = _u5109) )).
% 19.53/19.76 cnf(matrix-3120, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5110) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5110), hAPP(c_Groups_Oabs__class_Oabs(_u5110), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5110), _u5111), _u5112))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5110), hAPP(c_Groups_Oabs__class_Oabs(_u5110), _u5111)), hAPP(c_Groups_Oabs__class_Oabs(_u5110), _u5112)))) )).
% 19.53/19.76 cnf(matrix-3121, plain, ( ~class_Rings_Olinordered__idom(_u5113) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5113), hAPP(c_Groups_Oabs__class_Oabs(_u5113), _u5114)), _u5115)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5113), hAPP(c_Groups_Oabs__class_Oabs(_u5113), _u5116)), _u5117)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5113), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5113), hAPP(c_Groups_Oabs__class_Oabs(_u5113), _u5114)), hAPP(c_Groups_Oabs__class_Oabs(_u5113), _u5116))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5113), _u5115), _u5117))) )).
% 19.53/19.76 cnf(matrix-3122, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5118) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5118), hAPP(c_Groups_Oabs__class_Oabs(_u5118), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5118), hAPP(c_Groups_Oabs__class_Oabs(_u5118), _u5119)), hAPP(c_Groups_Oabs__class_Oabs(_u5118), _u5120)))), hAPP(c_Groups_Oabs__class_Oabs(_u5118), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5118), _u5119), _u5120)))) )).
% 19.53/19.76 cnf(matrix-3123, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5121) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5121), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5121), hAPP(c_Groups_Oabs__class_Oabs(_u5121), _u5122)), hAPP(c_Groups_Oabs__class_Oabs(_u5121), _u5123))), hAPP(c_Groups_Oabs__class_Oabs(_u5121), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5121), _u5122), _u5123)))) )).
% 19.53/19.76 cnf(matrix-3124, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5124) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5124), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5124), hAPP(c_Groups_Oabs__class_Oabs(_u5124), _u5125)), hAPP(c_Groups_Oabs__class_Oabs(_u5124), _u5126))), hAPP(c_Groups_Oabs__class_Oabs(_u5124), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5124), _u5126), _u5125)))) )).
% 19.53/19.76 cnf(matrix-3125, plain, ( ~class_Fields_Olinordered__field(_u5127) | ( _u5128 = c_Groups_Ozero__class_Ozero(_u5127)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5127), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5127), _u5129), _u5128)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5127), hAPP(c_Groups_Oabs__class_Oabs(_u5127), _u5129)), hAPP(c_Groups_Oabs__class_Oabs(_u5127), _u5128))) )).
% 19.53/19.76 cnf(matrix-3126, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5131)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5131), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-3127, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5132), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5132)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-3128, plain, ( ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5133), _u5134)) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u5133) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 19.53/19.76 cnf(matrix-3129, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u5136))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5136)) )).
% 19.53/19.76 cnf(matrix-3130, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5137)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u5137))) )).
% 19.53/19.76 cnf(matrix-3131, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5139)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5139), c_Int_OPls)) )).
% 19.53/19.76 cnf(matrix-3132, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5140), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5140)), c_Int_OPls)) )).
% 19.53/19.76 cnf(matrix-3133, plain, ( ( c_Int_OBit1(_u5141) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u5141)), _u5141)) )).
% 19.53/19.76 cnf(matrix-3134, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u5143)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5143))) )).
% 19.53/19.76 cnf(matrix-3135, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5144))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u5144)))) )).
% 19.53/19.76 cnf(matrix-3136, plain, ( ( c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls)) )).
% 19.53/19.76 cnf(matrix-3137, plain, ( ~class_Rings_Olinordered__idom(_u5145) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5145), c_Groups_Ozero__class_Ozero(_u5145)), _u5146)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5145), hAPP(c_Groups_Oabs__class_Oabs(_u5145), _u5147)), _u5146) = hAPP(c_Groups_Oabs__class_Oabs(_u5145), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5145), _u5147), _u5146))) )).
% 19.53/19.76 cnf(matrix-3138, plain, ( ~class_Rings_Oordered__ring__abs(_u5148) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5148), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5148), _u5149), _u5150)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5148), hAPP(c_Groups_Oabs__class_Oabs(_u5148), _u5149)), hAPP(c_Groups_Oabs__class_Oabs(_u5148), _u5150))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5148), c_Groups_Ozero__class_Ozero(_u5148)), _u5149)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5148), c_Groups_Ozero__class_Ozero(_u5148)), _u5150)) )).
% 19.53/19.76 cnf(matrix-3139, plain, ( ~class_Rings_Oordered__ring__abs(_u5148) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5148), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5148), _u5149), _u5150)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5148), hAPP(c_Groups_Oabs__class_Oabs(_u5148), _u5149)), hAPP(c_Groups_Oabs__class_Oabs(_u5148), _u5150))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5148), c_Groups_Ozero__class_Ozero(_u5148)), _u5149)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5148), _u5150), c_Groups_Ozero__class_Ozero(_u5148))) )).
% 19.53/19.76 cnf(matrix-3140, plain, ( ~class_Rings_Oordered__ring__abs(_u5148) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5148), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5148), _u5149), _u5150)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5148), hAPP(c_Groups_Oabs__class_Oabs(_u5148), _u5149)), hAPP(c_Groups_Oabs__class_Oabs(_u5148), _u5150))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5148), _u5149), c_Groups_Ozero__class_Ozero(_u5148))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5148), c_Groups_Ozero__class_Ozero(_u5148)), _u5150)) )).
% 19.53/19.76 cnf(matrix-3141, plain, ( ~class_Rings_Oordered__ring__abs(_u5148) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5148), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5148), _u5149), _u5150)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5148), hAPP(c_Groups_Oabs__class_Oabs(_u5148), _u5149)), hAPP(c_Groups_Oabs__class_Oabs(_u5148), _u5150))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5148), _u5149), c_Groups_Ozero__class_Ozero(_u5148))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5148), _u5150), c_Groups_Ozero__class_Ozero(_u5148))) )).
% 19.53/19.76 cnf(matrix-3142, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5151) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5151), hAPP(c_Groups_Oabs__class_Oabs(_u5151), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5151), _u5152), _u5153))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5151), hAPP(c_Groups_Oabs__class_Oabs(_u5151), _u5152)), hAPP(c_Groups_Oabs__class_Oabs(_u5151), _u5153)))) )).
% 19.53/19.76 cnf(matrix-3143, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5154) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5154), hAPP(c_Groups_Oabs__class_Oabs(_u5154), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5154), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5154), _u5155), _u5156)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5154), _u5157), _u5158)))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5154), hAPP(c_Groups_Oabs__class_Oabs(_u5154), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5154), _u5155), _u5157))), hAPP(c_Groups_Oabs__class_Oabs(_u5154), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5154), _u5156), _u5158))))) )).
% 19.53/19.76 cnf(matrix-3144, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5159) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5159), c_Groups_Ozero__class_Ozero(_u5159)), _u5160)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5159), hAPP(c_Groups_Oabs__class_Oabs(_u5159), _u5161)), _u5160) = hAPP(c_Groups_Oabs__class_Oabs(_u5159), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5159), _u5161), _u5160))) )).
% 19.53/19.76 cnf(matrix-3145, plain, ( ~class_Int_Onumber__ring(_u5162) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5162), c_Int_OBit1(_u5163)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5162), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5162), c_Groups_Oone__class_Oone(_u5162)), hAPP(c_Int_Onumber__class_Onumber__of(_u5162), _u5163))), hAPP(c_Int_Onumber__class_Onumber__of(_u5162), _u5163))) )).
% 19.53/19.76 cnf(matrix-3146, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u5165)), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u5165 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.53/19.76 cnf(matrix-3147, plain, ( ( _u5166 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u5166)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-3148, plain, ( ~class_Int_Onumber__ring(_u5167) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5167), hAPP(c_Int_Onumber__class_Onumber__of(_u5167), c_Int_OBit1(c_Int_OPls))), _u5168) = _u5168) )).
% 19.53/19.76 cnf(matrix-3149, plain, ( ~class_Int_Onumber__ring(_u5169) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5169), _u5170), hAPP(c_Int_Onumber__class_Onumber__of(_u5169), c_Int_OBit1(c_Int_OPls))) = _u5170) )).
% 19.53/19.76 cnf(matrix-3150, plain, ( ~class_Int_Onumber__ring(_u5171) | ( c_Groups_Oone__class_Oone(_u5171) = hAPP(c_Int_Onumber__class_Onumber__of(_u5171), c_Int_OBit1(c_Int_OPls))) )).
% 19.53/19.76 cnf(matrix-3151, plain, ( ~class_Int_Onumber__ring(_u5172) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5172), c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(_u5172)) )).
% 19.53/19.76 cnf(matrix-3152, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u5174))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5174)) )).
% 19.53/19.76 cnf(matrix-3153, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5175)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u5175))) )).
% 19.53/19.76 cnf(matrix-3154, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5177)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5177), c_Int_OPls)) )).
% 19.53/19.76 cnf(matrix-3155, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5178), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5178)), c_Int_OPls)) )).
% 19.53/19.76 cnf(matrix-3156, plain, ( ~class_Fields_Ofield(_u5179) | ~class_Int_Onumber__ring(_u5179) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5179), _u5180), hAPP(c_Int_Onumber__class_Onumber__of(_u5179), c_Int_OBit1(c_Int_OPls))) = _u5180) )).
% 19.53/19.76 cnf(matrix-3157, plain, ( ~class_Fields_Ofield(_u5181) | ~class_Int_Onumber__ring(_u5181) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5181), _u5182), hAPP(c_Int_Onumber__class_Onumber__of(_u5181), c_Int_OBit1(c_Int_OPls))) = _u5182) )).
% 19.53/19.76 cnf(matrix-3158, plain, ( ( c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))) )).
% 19.53/19.76 cnf(matrix-3159, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls))) )).
% 19.53/19.76 cnf(matrix-3160, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 19.53/19.76 cnf(matrix-3161, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.53/19.76 cnf(matrix-3162, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 19.53/19.76 cnf(matrix-3163, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) )).
% 19.53/19.76 cnf(matrix-3164, plain, ( ( hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u5183))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))), _u5183)) )).
% 19.53/19.76 cnf(matrix-3165, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) )).
% 19.53/19.76 cnf(matrix-3166, plain, ( ~class_Int_Onumber__ring(_u5184) | ~class_Rings_Olinordered__idom(_u5184) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5184), c_Groups_Oone__class_Oone(_u5184)), hAPP(c_Int_Onumber__class_Onumber__of(_u5184), _u5185))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u5185)) )).
% 19.53/19.76 cnf(matrix-3167, plain, ( ~class_Int_Onumber__ring(_u5184) | ~class_Rings_Olinordered__idom(_u5184) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u5185)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5184), c_Groups_Oone__class_Oone(_u5184)), hAPP(c_Int_Onumber__class_Onumber__of(_u5184), _u5185))) )).
% 19.53/19.76 cnf(matrix-3168, plain, ( ~class_Int_Onumber__ring(_u5186) | ~class_Rings_Olinordered__idom(_u5186) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5186), hAPP(c_Int_Onumber__class_Onumber__of(_u5186), _u5187)), c_Groups_Oone__class_Oone(_u5186))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5187), c_Int_OBit1(c_Int_OPls))) )).
% 19.53/19.76 cnf(matrix-3169, plain, ( ~class_Int_Onumber__ring(_u5186) | ~class_Rings_Olinordered__idom(_u5186) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5187), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5186), hAPP(c_Int_Onumber__class_Onumber__of(_u5186), _u5187)), c_Groups_Oone__class_Oone(_u5186))) )).
% 19.53/19.76 cnf(matrix-3170, plain, ( ~class_Int_Onumber__ring(_u5188) | ~class_Rings_Olinordered__idom(_u5188) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5188), c_Groups_Oone__class_Oone(_u5188)), hAPP(c_Int_Onumber__class_Onumber__of(_u5188), _u5189))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u5189)) )).
% 19.53/19.76 cnf(matrix-3171, plain, ( ~class_Int_Onumber__ring(_u5188) | ~class_Rings_Olinordered__idom(_u5188) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u5189)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5188), c_Groups_Oone__class_Oone(_u5188)), hAPP(c_Int_Onumber__class_Onumber__of(_u5188), _u5189))) )).
% 19.53/19.76 cnf(matrix-3172, plain, ( ~class_Int_Onumber__ring(_u5190) | ~class_Rings_Olinordered__idom(_u5190) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5190), hAPP(c_Int_Onumber__class_Onumber__of(_u5190), _u5191)), c_Groups_Oone__class_Oone(_u5190))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5191), c_Int_OBit1(c_Int_OPls))) )).
% 19.53/19.76 cnf(matrix-3173, plain, ( ~class_Int_Onumber__ring(_u5190) | ~class_Rings_Olinordered__idom(_u5190) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5191), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5190), hAPP(c_Int_Onumber__class_Onumber__of(_u5190), _u5191)), c_Groups_Oone__class_Oone(_u5190))) )).
% 19.53/19.76 cnf(matrix-3174, plain, ( ~class_Int_Onumber__ring(_u5192) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5192), hAPP(c_Int_Onumber__class_Onumber__of(_u5192), _u5193)), c_Groups_Oone__class_Oone(_u5192)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5192), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5193), c_Int_OBit1(c_Int_OPls)))) )).
% 19.53/19.76 cnf(matrix-3175, plain, ( ~class_Int_Onumber__ring(_u5194) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5194), c_Groups_Oone__class_Oone(_u5194)), hAPP(c_Int_Onumber__class_Onumber__of(_u5194), _u5195)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5194), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u5195))) )).
% 19.53/19.76 cnf(matrix-3176, plain, ( ( c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit1(c_Int_OPls))) )).
% 19.53/19.76 cnf(matrix-3177, plain, ( ~class_Int_Onumber__ring(_u5196) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5196), hAPP(c_Int_Onumber__class_Onumber__of(_u5196), _u5197)), c_Groups_Oone__class_Oone(_u5196)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5196), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5197), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 19.53/19.76 cnf(matrix-3178, plain, ( ~class_Int_Onumber__ring(_u5198) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5198), c_Groups_Oone__class_Oone(_u5198)), hAPP(c_Int_Onumber__class_Onumber__of(_u5198), _u5199)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5198), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5199)))) )).
% 19.53/19.76 cnf(matrix-3179, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5200), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ( _u5200 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u5200 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.53/19.76 cnf(matrix-3180, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5201) | ~class_Int_Onumber__ring(_u5201) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5201), c_Groups_Ozero__class_Ozero(_u5201)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5201), _u5202), hAPP(c_Int_Onumber__class_Onumber__of(_u5201), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5201), c_Groups_Ozero__class_Ozero(_u5201)), _u5202)) )).
% 19.53/19.76 cnf(matrix-3181, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5201) | ~class_Int_Onumber__ring(_u5201) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5201), c_Groups_Ozero__class_Ozero(_u5201)), _u5202)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5201), c_Groups_Ozero__class_Ozero(_u5201)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5201), _u5202), hAPP(c_Int_Onumber__class_Onumber__of(_u5201), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 19.53/19.76 cnf(matrix-3182, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u5203) | ~class_Int_Onumber__ring(_u5203) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5203), c_Groups_Ozero__class_Ozero(_u5203)), _u5204)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5203), c_Groups_Ozero__class_Ozero(_u5203)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5203), _u5204), hAPP(c_Int_Onumber__class_Onumber__of(_u5203), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 19.53/19.76 cnf(matrix-3183, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5205))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5206))) )).
% 19.53/19.76 cnf(matrix-3184, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u5207)))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5208))) )).
% 19.53/19.76 cnf(matrix-3185, plain, ( ~class_Int_Onumber__ring(_u5209) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5209), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5210)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5209), hAPP(c_Int_Onumber__class_Onumber__of(_u5209), _u5210))) )).
% 19.53/19.76 cnf(matrix-3186, plain, ( ~class_Int_Onumber__ring(_u5211) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5211), hAPP(c_Int_Onumber__class_Onumber__of(_u5211), _u5212)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5211), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5212))) )).
% 19.53/19.76 cnf(matrix-3187, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 19.53/19.76 cnf(matrix-3188, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5213)) = _u5213) )).
% 19.53/19.76 cnf(matrix-3189, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit0(_u5214)) = c_Int_OBit0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5214))) )).
% 19.53/19.76 cnf(matrix-3190, plain, ( ( c_Int_OBit0(_u5217) != c_Int_OBit0(_u5219)) | ( _u5217 = _u5219) )).
% 19.53/19.76 cnf(matrix-3191, plain, ( ( _u5218 != _u5220) | ( c_Int_OBit0(_u5218) = c_Int_OBit0(_u5220)) )).
% 19.53/19.76 cnf(matrix-3192, plain, ( ~class_Lattices_Oboolean__algebra(_u5221) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5221), hAPP(c_Groups_Ouminus__class_Ouminus(_u5221), _u5222)) = _u5222) )).
% 19.53/19.76 cnf(matrix-3193, plain, ( ~class_Groups_Ouminus(_u5223) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5224, _u5223)), _u5225), _u5226) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5223), hAPP(_u5225, _u5226))) )).
% 19.53/19.76 cnf(matrix-3194, plain, ( ~class_Lattices_Oboolean__algebra(_u5227) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5227), _u5228) != hAPP(c_Groups_Ouminus__class_Ouminus(_u5227), _u5229)) | ( _u5228 = _u5229) )).
% 19.53/19.76 cnf(matrix-3195, plain, ( ~class_Lattices_Oboolean__algebra(_u5227) | ( _u5228 != _u5229) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5227), _u5228) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5227), _u5229)) )).
% 19.53/19.76 cnf(matrix-3196, plain, ( ~class_Groups_Ogroup__add(_u5230) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5230), hAPP(c_Groups_Ouminus__class_Ouminus(_u5230), _u5231)) = _u5231) )).
% 19.53/19.76 cnf(matrix-3197, plain, ( ~class_Groups_Ogroup__add(_u5232) | ( _u5233 != hAPP(c_Groups_Ouminus__class_Ouminus(_u5232), _u5234)) | ( _u5234 = hAPP(c_Groups_Ouminus__class_Ouminus(_u5232), _u5233)) )).
% 19.53/19.76 cnf(matrix-3198, plain, ( ~class_Groups_Ogroup__add(_u5232) | ( _u5234 != hAPP(c_Groups_Ouminus__class_Ouminus(_u5232), _u5233)) | ( _u5233 = hAPP(c_Groups_Ouminus__class_Ouminus(_u5232), _u5234)) )).
% 19.53/19.76 cnf(matrix-3199, plain, ( ~class_Groups_Ogroup__add(_u5235) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5235), _u5236) != _u5237) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5235), _u5237) = _u5236) )).
% 19.53/19.76 cnf(matrix-3200, plain, ( ~class_Groups_Ogroup__add(_u5235) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5235), _u5237) != _u5236) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5235), _u5236) = _u5237) )).
% 19.53/19.76 cnf(matrix-3201, plain, ( ~class_Groups_Ogroup__add(_u5238) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5238), _u5239) != hAPP(c_Groups_Ouminus__class_Ouminus(_u5238), _u5240)) | ( _u5239 = _u5240) )).
% 19.53/19.76 cnf(matrix-3202, plain, ( ~class_Groups_Ogroup__add(_u5238) | ( _u5239 != _u5240) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5238), _u5239) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5238), _u5240)) )).
% 19.53/19.76 cnf(matrix-3203, plain, ( ~class_Int_Onumber__ring(_u5241) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5241), hAPP(c_Groups_Ouminus__class_Ouminus(_u5241), hAPP(c_Int_Onumber__class_Onumber__of(_u5241), _u5242))), _u5243) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5241), hAPP(c_Int_Onumber__class_Onumber__of(_u5241), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5242))), _u5243)) )).
% 19.53/19.76 cnf(matrix-3204, plain, ( ~class_Groups_Oordered__ab__group__add(_u5244) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5244), _u5245), _u5246)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5244), hAPP(c_Groups_Ouminus__class_Ouminus(_u5244), _u5246)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5244), _u5245))) )).
% 19.53/19.76 cnf(matrix-3205, plain, ( ~class_Groups_Oordered__ab__group__add(_u5247) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5247), hAPP(c_Groups_Ouminus__class_Ouminus(_u5247), _u5248)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5247), _u5249))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5247), _u5249), _u5248)) )).
% 19.53/19.76 cnf(matrix-3206, plain, ( ~class_Groups_Oordered__ab__group__add(_u5247) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5247), _u5249), _u5248)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5247), hAPP(c_Groups_Ouminus__class_Ouminus(_u5247), _u5248)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5247), _u5249))) )).
% 19.53/19.76 cnf(matrix-3207, plain, ( ~class_Groups_Oordered__ab__group__add(_u5250) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5250), hAPP(c_Groups_Ouminus__class_Ouminus(_u5250), _u5251)), _u5252)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5250), hAPP(c_Groups_Ouminus__class_Ouminus(_u5250), _u5252)), _u5251)) )).
% 19.53/19.76 cnf(matrix-3208, plain, ( ~class_Groups_Oordered__ab__group__add(_u5250) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5250), hAPP(c_Groups_Ouminus__class_Ouminus(_u5250), _u5252)), _u5251)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5250), hAPP(c_Groups_Ouminus__class_Ouminus(_u5250), _u5251)), _u5252)) )).
% 19.53/19.76 cnf(matrix-3209, plain, ( ~class_Groups_Oordered__ab__group__add(_u5253) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5253), _u5254), hAPP(c_Groups_Ouminus__class_Ouminus(_u5253), _u5255))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5253), _u5255), hAPP(c_Groups_Ouminus__class_Ouminus(_u5253), _u5254))) )).
% 19.53/19.76 cnf(matrix-3210, plain, ( ~class_Groups_Oordered__ab__group__add(_u5253) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5253), _u5255), hAPP(c_Groups_Ouminus__class_Ouminus(_u5253), _u5254))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5253), _u5254), hAPP(c_Groups_Ouminus__class_Ouminus(_u5253), _u5255))) )).
% 19.53/19.76 cnf(matrix-3211, plain, ( ~class_Lattices_Oboolean__algebra(_u5256) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5256), _u5257), _u5258)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5256), hAPP(c_Groups_Ouminus__class_Ouminus(_u5256), _u5258)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5256), _u5257))) )).
% 19.53/19.76 cnf(matrix-3212, plain, ( ~class_Lattices_Oboolean__algebra(_u5259) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), hAPP(c_Groups_Ouminus__class_Ouminus(_u5259), _u5260)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5259), _u5261))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), _u5261), _u5260)) )).
% 19.53/19.76 cnf(matrix-3213, plain, ( ~class_Lattices_Oboolean__algebra(_u5259) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), _u5261), _u5260)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5259), hAPP(c_Groups_Ouminus__class_Ouminus(_u5259), _u5260)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5259), _u5261))) )).
% 19.53/19.76 cnf(matrix-3214, plain, ( ~class_Groups_Ogroup__add(_u5262) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5262), c_Groups_Ozero__class_Ozero(_u5262)) = c_Groups_Ozero__class_Ozero(_u5262)) )).
% 19.53/19.76 cnf(matrix-3215, plain, ( ~class_Groups_Ogroup__add(_u5263) | ( c_Groups_Ozero__class_Ozero(_u5263) != hAPP(c_Groups_Ouminus__class_Ouminus(_u5263), _u5264)) | ( c_Groups_Ozero__class_Ozero(_u5263) = _u5264) )).
% 19.53/19.76 cnf(matrix-3216, plain, ( ~class_Groups_Ogroup__add(_u5263) | ( c_Groups_Ozero__class_Ozero(_u5263) != _u5264) | ( c_Groups_Ozero__class_Ozero(_u5263) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5263), _u5264)) )).
% 19.53/19.76 cnf(matrix-3217, plain, ( ~class_Groups_Olinordered__ab__group__add(_u5265) | ( _u5266 != hAPP(c_Groups_Ouminus__class_Ouminus(_u5265), _u5266)) | ( _u5266 = c_Groups_Ozero__class_Ozero(_u5265)) )).
% 19.53/19.76 cnf(matrix-3218, plain, ( ~class_Groups_Olinordered__ab__group__add(_u5265) | ( _u5266 != c_Groups_Ozero__class_Ozero(_u5265)) | ( _u5266 = hAPP(c_Groups_Ouminus__class_Ouminus(_u5265), _u5266)) )).
% 19.53/19.76 cnf(matrix-3219, plain, ( ~class_Groups_Ogroup__add(_u5267) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5267), _u5268) != c_Groups_Ozero__class_Ozero(_u5267)) | ( _u5268 = c_Groups_Ozero__class_Ozero(_u5267)) )).
% 19.53/19.76 cnf(matrix-3220, plain, ( ~class_Groups_Ogroup__add(_u5267) | ( _u5268 != c_Groups_Ozero__class_Ozero(_u5267)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5267), _u5268) = c_Groups_Ozero__class_Ozero(_u5267)) )).
% 19.53/19.76 cnf(matrix-3221, plain, ( ~class_Groups_Olinordered__ab__group__add(_u5269) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5269), _u5270) != _u5270) | ( _u5270 = c_Groups_Ozero__class_Ozero(_u5269)) )).
% 19.53/19.76 cnf(matrix-3222, plain, ( ~class_Groups_Olinordered__ab__group__add(_u5269) | ( _u5270 != c_Groups_Ozero__class_Ozero(_u5269)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5269), _u5270) = _u5270) )).
% 19.53/19.76 cnf(matrix-3223, plain, ( ~class_Groups_Oordered__ab__group__add(_u5271) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5271), hAPP(c_Groups_Ouminus__class_Ouminus(_u5271), _u5272)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5271), _u5273))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5271), _u5273), _u5272)) )).
% 19.53/19.76 cnf(matrix-3224, plain, ( ~class_Groups_Oordered__ab__group__add(_u5271) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5271), _u5273), _u5272)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5271), hAPP(c_Groups_Ouminus__class_Ouminus(_u5271), _u5272)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5271), _u5273))) )).
% 19.53/19.76 cnf(matrix-3225, plain, ( ~class_Groups_Oordered__ab__group__add(_u5274) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5274), hAPP(c_Groups_Ouminus__class_Ouminus(_u5274), _u5275)), _u5276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5274), hAPP(c_Groups_Ouminus__class_Ouminus(_u5274), _u5276)), _u5275)) )).
% 19.53/19.76 cnf(matrix-3226, plain, ( ~class_Groups_Oordered__ab__group__add(_u5274) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5274), hAPP(c_Groups_Ouminus__class_Ouminus(_u5274), _u5276)), _u5275)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5274), hAPP(c_Groups_Ouminus__class_Ouminus(_u5274), _u5275)), _u5276)) )).
% 19.53/19.76 cnf(matrix-3227, plain, ( ~class_Groups_Oordered__ab__group__add(_u5277) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5277), _u5278), hAPP(c_Groups_Ouminus__class_Ouminus(_u5277), _u5279))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5277), _u5279), hAPP(c_Groups_Ouminus__class_Ouminus(_u5277), _u5278))) )).
% 19.53/19.76 cnf(matrix-3228, plain, ( ~class_Groups_Oordered__ab__group__add(_u5277) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5277), _u5279), hAPP(c_Groups_Ouminus__class_Ouminus(_u5277), _u5278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5277), _u5278), hAPP(c_Groups_Ouminus__class_Ouminus(_u5277), _u5279))) )).
% 19.53/19.76 cnf(matrix-3229, plain, ( ~class_Groups_Oab__group__add(_u5280) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5280), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5280), _u5281), _u5282)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5280), hAPP(c_Groups_Ouminus__class_Ouminus(_u5280), _u5281)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5280), _u5282))) )).
% 19.53/19.76 cnf(matrix-3230, plain, ( ~class_Groups_Ogroup__add(_u5283) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5283), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5283), _u5284), _u5285)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5283), hAPP(c_Groups_Ouminus__class_Ouminus(_u5283), _u5285)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5283), _u5284))) )).
% 19.53/19.76 cnf(matrix-3231, plain, ( ~class_Groups_Ogroup__add(_u5286) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5286), _u5287), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5286), hAPP(c_Groups_Ouminus__class_Ouminus(_u5286), _u5287)), _u5288)) = _u5288) )).
% 19.53/19.76 cnf(matrix-3232, plain, ( ~class_Groups_Ogroup__add(_u5289) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5289), hAPP(c_Groups_Ouminus__class_Ouminus(_u5289), _u5290)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5289), _u5290), _u5291)) = _u5291) )).
% 19.53/19.76 cnf(matrix-3233, plain, ( ~class_Rings_Oidom(_u5292) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5292), _u5293), _u5293) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5292), _u5294), _u5294)) | ( _u5293 = _u5294) | ( _u5293 = hAPP(c_Groups_Ouminus__class_Ouminus(_u5292), _u5294)) )).
% 19.53/19.76 cnf(matrix-3234, plain, ( ~class_Rings_Oidom(_u5292) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5292), _u5293), _u5293) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5292), _u5294), _u5294)) | ( _u5293 != _u5294) )).
% 19.53/19.76 cnf(matrix-3235, plain, ( ~class_Rings_Oidom(_u5292) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5292), _u5293), _u5293) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5292), _u5294), _u5294)) | ( _u5293 != hAPP(c_Groups_Ouminus__class_Ouminus(_u5292), _u5294)) )).
% 19.53/19.76 cnf(matrix-3236, plain, ( ~class_Rings_Oring(_u5295) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5295), hAPP(c_Groups_Ouminus__class_Ouminus(_u5295), _u5296)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5295), _u5297)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5295), _u5296), _u5297)) )).
% 19.53/19.76 cnf(matrix-3237, plain, ( ~class_Rings_Oring(_u5298) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5298), hAPP(c_Groups_Ouminus__class_Ouminus(_u5298), _u5299)), _u5300) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5298), _u5299), hAPP(c_Groups_Ouminus__class_Ouminus(_u5298), _u5300))) )).
% 19.53/19.76 cnf(matrix-3238, plain, ( ~class_Rings_Oring(_u5301) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5301), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5301), _u5302), _u5303)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5301), hAPP(c_Groups_Ouminus__class_Ouminus(_u5301), _u5302)), _u5303)) )).
% 19.53/19.76 cnf(matrix-3239, plain, ( ~class_Rings_Oring(_u5304) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5304), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5304), _u5305), _u5306)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5304), _u5305), hAPP(c_Groups_Ouminus__class_Ouminus(_u5304), _u5306))) )).
% 19.53/19.76 cnf(matrix-3240, plain, ( ~class_Groups_Oab__group__add(_u5307) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5307), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5307), _u5308), _u5309)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5307), _u5309), _u5308)) )).
% 19.53/19.76 cnf(matrix-3241, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5312)), c_Int_OBit0(_u5314))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5312), _u5314)) )).
% 19.53/19.76 cnf(matrix-3242, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5313), _u5315)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5313)), c_Int_OBit0(_u5315))) )).
% 19.53/19.76 cnf(matrix-3243, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5318)), c_Int_OBit0(_u5320))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5318), _u5320)) )).
% 19.53/19.76 cnf(matrix-3244, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5319), _u5321)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5319)), c_Int_OBit0(_u5321))) )).
% 19.53/19.76 cnf(matrix-3245, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5324)), c_Int_OBit0(_u5326))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5324), _u5326)) )).
% 19.53/19.76 cnf(matrix-3246, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5325), _u5327)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5325)), c_Int_OBit0(_u5327))) )).
% 19.53/19.76 cnf(matrix-3247, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5330)), c_Int_OBit0(_u5332))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5330), _u5332)) )).
% 19.53/19.76 cnf(matrix-3248, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5331), _u5333)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5331)), c_Int_OBit0(_u5333))) )).
% 19.53/19.76 cnf(matrix-3249, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.53/19.76 cnf(matrix-3250, plain, ( ( c_Int_OBit0(c_Int_OPls) = c_Int_OPls) )).
% 19.53/19.76 cnf(matrix-3251, plain, ( ( c_Int_OPls != c_Int_OBit0(_u5335)) | ( c_Int_OPls = _u5335) )).
% 19.53/19.76 cnf(matrix-3252, plain, ( ( c_Int_OPls != _u5336) | ( c_Int_OPls = c_Int_OBit0(_u5336)) )).
% 19.53/19.76 cnf(matrix-3253, plain, ( ( c_Int_OBit0(_u5338) != c_Int_OPls) | ( _u5338 = c_Int_OPls) )).
% 19.53/19.76 cnf(matrix-3254, plain, ( ( _u5339 != c_Int_OPls) | ( c_Int_OBit0(_u5339) = c_Int_OPls) )).
% 19.53/19.76 cnf(matrix-3255, plain, ( ( c_Int_OBit0(_u5340) != c_Int_OBit1(_u5341)) )).
% 19.53/19.76 cnf(matrix-3256, plain, ( ( c_Int_OBit1(_u5342) != c_Int_OBit0(_u5343)) )).
% 19.53/19.76 cnf(matrix-3257, plain, ( ( c_Int_OBit0(_u5344) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5344), _u5344)) )).
% 19.53/19.76 cnf(matrix-3258, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u5345)), c_Int_OBit0(_u5346)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5345), _u5346))) )).
% 19.53/19.76 cnf(matrix-3259, plain, ( ~class_Rings_Odivision__ring(_u5347) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5347), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5347), _u5348), _u5349)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5347), hAPP(c_Groups_Ouminus__class_Ouminus(_u5347), _u5348)), _u5349)) )).
% 19.53/19.76 cnf(matrix-3260, plain, ( ~class_Fields_Ofield__inverse__zero(_u5350) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5350), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5350), _u5351), _u5352)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5350), _u5351), hAPP(c_Groups_Ouminus__class_Ouminus(_u5350), _u5352))) )).
% 19.53/19.76 cnf(matrix-3261, plain, ( ~class_Fields_Ofield__inverse__zero(_u5353) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5353), hAPP(c_Groups_Ouminus__class_Ouminus(_u5353), _u5354)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5353), _u5355)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5353), _u5354), _u5355)) )).
% 19.53/19.76 cnf(matrix-3262, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit0(_u5356)), _u5357) = c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5356), _u5357))) )).
% 19.53/19.76 cnf(matrix-3263, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5358) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5358), hAPP(c_Groups_Ouminus__class_Ouminus(_u5358), _u5359)) = hAPP(c_Groups_Oabs__class_Oabs(_u5358), _u5359)) )).
% 19.53/19.76 cnf(matrix-3264, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls) = c_Int_OPls) )).
% 19.53/19.76 cnf(matrix-3265, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5360), _u5361)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5360)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5361))) )).
% 19.53/19.76 cnf(matrix-3266, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5362)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5362))) )).
% 19.53/19.76 cnf(matrix-3267, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u5363)), c_Int_OBit0(_u5364)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5363), _u5364))) )).
% 19.53/19.76 cnf(matrix-3268, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5365)), _u5366) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5365), _u5366))) )).
% 19.53/19.76 cnf(matrix-3269, plain, ( ~class_Groups_Oordered__ab__group__add(_u5367) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5367), c_Groups_Ozero__class_Ozero(_u5367)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5367), _u5368))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5367), _u5368), c_Groups_Ozero__class_Ozero(_u5367))) )).
% 19.53/19.76 cnf(matrix-3270, plain, ( ~class_Groups_Oordered__ab__group__add(_u5367) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5367), _u5368), c_Groups_Ozero__class_Ozero(_u5367))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5367), c_Groups_Ozero__class_Ozero(_u5367)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5367), _u5368))) )).
% 19.53/19.76 cnf(matrix-3271, plain, ( ~class_Groups_Olinordered__ab__group__add(_u5369) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5369), _u5370), hAPP(c_Groups_Ouminus__class_Ouminus(_u5369), _u5370))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5369), _u5370), c_Groups_Ozero__class_Ozero(_u5369))) )).
% 19.53/19.76 cnf(matrix-3272, plain, ( ~class_Groups_Olinordered__ab__group__add(_u5369) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5369), _u5370), c_Groups_Ozero__class_Ozero(_u5369))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5369), _u5370), hAPP(c_Groups_Ouminus__class_Ouminus(_u5369), _u5370))) )).
% 19.53/19.76 cnf(matrix-3273, plain, ( ~class_Groups_Oordered__ab__group__add(_u5371) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5371), hAPP(c_Groups_Ouminus__class_Ouminus(_u5371), _u5372)), c_Groups_Ozero__class_Ozero(_u5371))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5371), c_Groups_Ozero__class_Ozero(_u5371)), _u5372)) )).
% 19.53/19.76 cnf(matrix-3274, plain, ( ~class_Groups_Oordered__ab__group__add(_u5371) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5371), c_Groups_Ozero__class_Ozero(_u5371)), _u5372)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5371), hAPP(c_Groups_Ouminus__class_Ouminus(_u5371), _u5372)), c_Groups_Ozero__class_Ozero(_u5371))) )).
% 19.53/19.76 cnf(matrix-3275, plain, ( ~class_Groups_Olinordered__ab__group__add(_u5373) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5373), hAPP(c_Groups_Ouminus__class_Ouminus(_u5373), _u5374)), _u5374)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5373), c_Groups_Ozero__class_Ozero(_u5373)), _u5374)) )).
% 19.53/19.76 cnf(matrix-3276, plain, ( ~class_Groups_Olinordered__ab__group__add(_u5373) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5373), c_Groups_Ozero__class_Ozero(_u5373)), _u5374)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5373), hAPP(c_Groups_Ouminus__class_Ouminus(_u5373), _u5374)), _u5374)) )).
% 19.53/19.76 cnf(matrix-3277, plain, ( ~class_Rings_Olinordered__idom(_u5375) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5375), _u5376), hAPP(c_Groups_Ouminus__class_Ouminus(_u5375), _u5376))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5375), _u5376), c_Groups_Ozero__class_Ozero(_u5375))) )).
% 19.53/19.76 cnf(matrix-3278, plain, ( ~class_Rings_Olinordered__idom(_u5375) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5375), _u5376), c_Groups_Ozero__class_Ozero(_u5375))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5375), _u5376), hAPP(c_Groups_Ouminus__class_Ouminus(_u5375), _u5376))) )).
% 19.53/19.76 cnf(matrix-3279, plain, ( ~class_Groups_Oordered__ab__group__add(_u5377) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5377), c_Groups_Ozero__class_Ozero(_u5377)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5377), _u5378))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5377), _u5378), c_Groups_Ozero__class_Ozero(_u5377))) )).
% 19.53/19.76 cnf(matrix-3280, plain, ( ~class_Groups_Oordered__ab__group__add(_u5377) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5377), _u5378), c_Groups_Ozero__class_Ozero(_u5377))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5377), c_Groups_Ozero__class_Ozero(_u5377)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5377), _u5378))) )).
% 19.53/19.76 cnf(matrix-3281, plain, ( ~class_Groups_Oordered__ab__group__add(_u5379) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5379), hAPP(c_Groups_Ouminus__class_Ouminus(_u5379), _u5380)), c_Groups_Ozero__class_Ozero(_u5379))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5379), c_Groups_Ozero__class_Ozero(_u5379)), _u5380)) )).
% 19.53/19.76 cnf(matrix-3282, plain, ( ~class_Groups_Oordered__ab__group__add(_u5379) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5379), c_Groups_Ozero__class_Ozero(_u5379)), _u5380)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5379), hAPP(c_Groups_Ouminus__class_Ouminus(_u5379), _u5380)), c_Groups_Ozero__class_Ozero(_u5379))) )).
% 19.53/19.76 cnf(matrix-3283, plain, ( ~class_Groups_Olinordered__ab__group__add(_u5381) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5381), hAPP(c_Groups_Ouminus__class_Ouminus(_u5381), _u5382)), _u5382)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5381), c_Groups_Ozero__class_Ozero(_u5381)), _u5382)) )).
% 19.53/19.76 cnf(matrix-3284, plain, ( ~class_Groups_Olinordered__ab__group__add(_u5381) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5381), c_Groups_Ozero__class_Ozero(_u5381)), _u5382)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5381), hAPP(c_Groups_Ouminus__class_Ouminus(_u5381), _u5382)), _u5382)) )).
% 19.53/19.76 cnf(matrix-3285, plain, ( ~class_Groups_Ogroup__add(_u5383) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5383), _u5384), hAPP(c_Groups_Ouminus__class_Ouminus(_u5383), _u5384)) = c_Groups_Ozero__class_Ozero(_u5383)) )).
% 19.53/19.76 cnf(matrix-3286, plain, ( ~class_Groups_Ogroup__add(_u5385) | ( _u5386 != hAPP(c_Groups_Ouminus__class_Ouminus(_u5385), _u5387)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5385), _u5386), _u5387) = c_Groups_Ozero__class_Ozero(_u5385)) )).
% 19.53/19.76 cnf(matrix-3287, plain, ( ~class_Groups_Ogroup__add(_u5385) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5385), _u5386), _u5387) != c_Groups_Ozero__class_Ozero(_u5385)) | ( _u5386 = hAPP(c_Groups_Ouminus__class_Ouminus(_u5385), _u5387)) )).
% 19.53/19.76 cnf(matrix-3288, plain, ( ~class_Groups_Ogroup__add(_u5388) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5388), hAPP(c_Groups_Ouminus__class_Ouminus(_u5388), _u5389)), _u5389) = c_Groups_Ozero__class_Ozero(_u5388)) )).
% 19.53/19.76 cnf(matrix-3289, plain, ( ~class_Groups_Oab__group__add(_u5390) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5390), hAPP(c_Groups_Ouminus__class_Ouminus(_u5390), _u5391)), _u5391) = c_Groups_Ozero__class_Ozero(_u5390)) )).
% 19.53/19.76 cnf(matrix-3290, plain, ( ~class_Groups_Ogroup__add(_u5392) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5392), _u5393), _u5394) != c_Groups_Ozero__class_Ozero(_u5392)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5392), _u5393) = _u5394) )).
% 19.53/19.76 cnf(matrix-3291, plain, ( ~class_Groups_Ogroup__add(_u5395) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5395), c_Groups_Ozero__class_Ozero(_u5395)), _u5396) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5395), _u5396)) )).
% 19.53/19.76 cnf(matrix-3292, plain, ( ~class_Rings_Ocomm__ring__1(_u5397) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5397), _u5398), _u5399) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5397), _u5398), hAPP(c_Groups_Ouminus__class_Ouminus(_u5397), _u5399))) )).
% 19.53/19.76 cnf(matrix-3293, plain, ( ~class_Groups_Ogroup__add(_u5400) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5400), _u5401), hAPP(c_Groups_Ouminus__class_Ouminus(_u5400), _u5402)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5400), _u5401), _u5402)) )).
% 19.53/19.76 cnf(matrix-3294, plain, ( ~class_Groups_Oab__group__add(_u5403) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5403), _u5404), _u5405) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5403), _u5404), hAPP(c_Groups_Ouminus__class_Ouminus(_u5403), _u5405))) )).
% 19.53/19.76 cnf(matrix-3295, plain, ( ~class_Groups_Ogroup__add(_u5406) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5406), _u5407), _u5408) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5406), _u5407), hAPP(c_Groups_Ouminus__class_Ouminus(_u5406), _u5408))) )).
% 19.53/19.76 cnf(matrix-3296, plain, ( ~class_Rings_Ocomm__ring__1(_u5409) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5409), _u5410) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5409), hAPP(c_Groups_Ouminus__class_Ouminus(_u5409), c_Groups_Oone__class_Oone(_u5409))), _u5410)) )).
% 19.53/19.76 cnf(matrix-3297, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u5411) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5411), _u5412), _u5412) != c_Groups_Oone__class_Oone(_u5411)) | ( _u5412 = c_Groups_Oone__class_Oone(_u5411)) | ( _u5412 = hAPP(c_Groups_Ouminus__class_Ouminus(_u5411), c_Groups_Oone__class_Oone(_u5411))) )).
% 19.53/19.76 cnf(matrix-3298, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u5411) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5411), _u5412), _u5412) = c_Groups_Oone__class_Oone(_u5411)) | ( _u5412 != c_Groups_Oone__class_Oone(_u5411)) )).
% 19.53/19.76 cnf(matrix-3299, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u5411) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5411), _u5412), _u5412) = c_Groups_Oone__class_Oone(_u5411)) | ( _u5412 != hAPP(c_Groups_Ouminus__class_Ouminus(_u5411), c_Groups_Oone__class_Oone(_u5411))) )).
% 19.53/19.76 cnf(matrix-3300, plain, ( ~class_Lattices_Oboolean__algebra(_u5413) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5413), hAPP(c_Groups_Ouminus__class_Ouminus(_u5413), _u5414)), _u5414) = c_Orderings_Obot__class_Obot(_u5413)) )).
% 19.53/19.76 cnf(matrix-3301, plain, ( ~class_Lattices_Oboolean__algebra(_u5415) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5415), _u5416), hAPP(c_Groups_Ouminus__class_Ouminus(_u5415), _u5416)) = c_Orderings_Obot__class_Obot(_u5415)) )).
% 19.53/19.76 cnf(matrix-3302, plain, ( ~class_Lattices_Oboolean__algebra(_u5417) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5417), _u5418), _u5419) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5417), _u5418), hAPP(c_Groups_Ouminus__class_Ouminus(_u5417), _u5419))) )).
% 19.53/19.76 cnf(matrix-3303, plain, ( ~class_Lattices_Oboolean__algebra(_u5420) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5420), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u5420), _u5421), _u5422)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5420), hAPP(c_Groups_Ouminus__class_Ouminus(_u5420), _u5421)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5420), _u5422))) )).
% 19.53/19.76 cnf(matrix-3304, plain, ( ~class_Lattices_Oboolean__algebra(_u5423) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5423), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u5423), _u5424), _u5425)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u5423), hAPP(c_Groups_Ouminus__class_Ouminus(_u5423), _u5424)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5423), _u5425))) )).
% 19.53/19.76 cnf(matrix-3305, plain, ( ~class_Rings_Odivision__ring(_u5426) | ( _u5427 = c_Groups_Ozero__class_Ozero(_u5426)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u5426), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5426), _u5428), _u5427)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5426), _u5428), hAPP(c_Groups_Ouminus__class_Ouminus(_u5426), _u5427))) )).
% 19.53/19.76 cnf(matrix-3306, plain, ( ~class_Rings_Odivision__ring(_u5429) | ( _u5430 = c_Groups_Ozero__class_Ozero(_u5429)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5429), hAPP(c_Groups_Ouminus__class_Ouminus(_u5429), _u5431)), hAPP(c_Groups_Ouminus__class_Ouminus(_u5429), _u5430)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u5429), _u5431), _u5430)) )).
% 19.53/19.76 cnf(matrix-3307, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5432) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5432), hAPP(c_Groups_Oabs__class_Oabs(_u5432), _u5433)), _u5434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5432), hAPP(c_Groups_Ouminus__class_Ouminus(_u5432), _u5433)), _u5434)) )).
% 19.53/19.76 cnf(matrix-3308, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5435) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5435), _u5436), _u5437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5435), hAPP(c_Groups_Ouminus__class_Ouminus(_u5435), _u5436)), _u5437)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5435), hAPP(c_Groups_Oabs__class_Oabs(_u5435), _u5436)), _u5437)) )).
% 19.53/19.76 cnf(matrix-3309, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5438) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5438), hAPP(c_Groups_Oabs__class_Oabs(_u5438), _u5439)), _u5440)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5438), _u5439), _u5440)) )).
% 19.53/19.76 cnf(matrix-3310, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5438) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5438), hAPP(c_Groups_Oabs__class_Oabs(_u5438), _u5439)), _u5440)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5438), hAPP(c_Groups_Ouminus__class_Ouminus(_u5438), _u5439)), _u5440)) )).
% 19.53/19.76 cnf(matrix-3311, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5438) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5438), _u5439), _u5440)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5438), hAPP(c_Groups_Ouminus__class_Ouminus(_u5438), _u5439)), _u5440)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5438), hAPP(c_Groups_Oabs__class_Oabs(_u5438), _u5439)), _u5440)) )).
% 19.53/19.76 cnf(matrix-3312, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5441) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5441), hAPP(c_Groups_Ouminus__class_Ouminus(_u5441), _u5442)), hAPP(c_Groups_Oabs__class_Oabs(_u5441), _u5442))) )).
% 19.53/19.76 cnf(matrix-3313, plain, ( ~class_Rings_Olinordered__idom(_u5443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5443), hAPP(c_Groups_Oabs__class_Oabs(_u5443), _u5444)), _u5445)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5443), _u5444), _u5445)) )).
% 19.53/19.76 cnf(matrix-3314, plain, ( ~class_Rings_Olinordered__idom(_u5443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5443), hAPP(c_Groups_Oabs__class_Oabs(_u5443), _u5444)), _u5445)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5443), hAPP(c_Groups_Ouminus__class_Ouminus(_u5443), _u5444)), _u5445)) )).
% 19.53/19.76 cnf(matrix-3315, plain, ( ~class_Rings_Olinordered__idom(_u5443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5443), _u5444), _u5445)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5443), hAPP(c_Groups_Ouminus__class_Ouminus(_u5443), _u5444)), _u5445)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5443), hAPP(c_Groups_Oabs__class_Oabs(_u5443), _u5444)), _u5445)) )).
% 19.53/19.76 cnf(matrix-3316, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5447)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5447), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-3317, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5448), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5448)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-3318, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5450)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5450), c_Int_OPls)) )).
% 19.53/19.76 cnf(matrix-3319, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5451), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5451)), c_Int_OPls)) )).
% 19.53/19.76 cnf(matrix-3320, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u5453))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5453)) )).
% 19.53/19.76 cnf(matrix-3321, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u5454)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u5454))) )).
% 19.53/19.76 cnf(matrix-3322, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5457)), c_Int_OBit1(_u5459))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5457), _u5459)) )).
% 19.53/19.76 cnf(matrix-3323, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5458), _u5460)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5458)), c_Int_OBit1(_u5460))) )).
% 19.53/19.76 cnf(matrix-3324, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5463)), c_Int_OBit1(_u5465))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5463), _u5465)) )).
% 19.53/19.76 cnf(matrix-3325, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5464), _u5466)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u5464)), c_Int_OBit1(_u5466))) )).
% 19.53/19.76 cnf(matrix-3326, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u5468))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u5468)) )).
% 19.53/19.76 cnf(matrix-3327, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u5469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u5469))) )).
% 19.53/19.76 cnf(matrix-3328, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5471)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5471), c_Int_OPls)) )).
% 19.53/19.76 cnf(matrix-3329, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5472), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5472)), c_Int_OPls)) )).
% 19.53/19.76 cnf(matrix-3330, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5475)), c_Int_OBit0(_u5477))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5475), _u5477)) )).
% 19.53/19.76 cnf(matrix-3331, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5476), _u5478)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5476)), c_Int_OBit0(_u5478))) )).
% 19.53/19.76 cnf(matrix-3332, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5481)), c_Int_OBit0(_u5483))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5481), _u5483)) )).
% 19.53/19.76 cnf(matrix-3333, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5482), _u5484)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u5482)), c_Int_OBit0(_u5484))) )).
% 19.53/19.76 cnf(matrix-3334, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u5485)), c_Int_OBit0(_u5486)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5485), _u5486))) )).
% 19.53/19.76 cnf(matrix-3335, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u5487)), c_Int_OBit1(_u5488)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5487), _u5488))) )).
% 19.53/19.76 cnf(matrix-3336, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5489)), _u5489) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.53/19.76 cnf(matrix-3337, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5492)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5494)) | ( _u5492 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.76 cnf(matrix-3338, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5492)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5494)) | ( _u5494 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.76 cnf(matrix-3339, plain, ( ( _u5493 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u5495 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5493)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5495)) )).
% 19.53/19.76 cnf(matrix-3340, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u5496)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), _u5496))) )).
% 19.53/19.76 cnf(matrix-3341, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u5497)), c_Int_OBit0(_u5498)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5497), _u5498))) )).
% 19.53/19.76 cnf(matrix-3342, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u5499)), c_Int_OBit1(_u5500)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5499), _u5500))) )).
% 19.53/19.76 cnf(matrix-3343, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5501)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5502)))) )).
% 19.53/19.76 cnf(matrix-3344, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5503), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5504)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5503), _u5504)) )).
% 19.53/19.76 cnf(matrix-3345, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5505), _u5506) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5505), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5506))) )).
% 19.53/19.76 cnf(matrix-3346, plain, ( ~class_Rings_Oring__1(_u5507) | ~hBOOL(hAPP(hAPP(c_member(_u5507), _u5508), c_Int_Oring__1__class_OInts(_u5507))) | hBOOL(hAPP(hAPP(c_member(_u5507), hAPP(c_Groups_Ouminus__class_Ouminus(_u5507), _u5508)), c_Int_Oring__1__class_OInts(_u5507))) )).
% 19.53/19.76 cnf(matrix-3347, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5510)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5510))) )).
% 19.53/19.76 cnf(matrix-3348, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5511))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5511)))) )).
% 19.53/19.76 cnf(matrix-3349, plain, ( ( c_Int_Opred(c_Int_OBit0(_u5512)) = c_Int_OBit1(c_Int_Opred(_u5512))) )).
% 19.53/19.76 cnf(matrix-3350, plain, ( ( c_Int_Opred(c_Int_OBit1(_u5513)) = c_Int_OBit0(_u5513)) )).
% 19.53/19.76 cnf(matrix-3351, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(_u5514)) = c_Int_OBit1(c_Int_Opred(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5514)))) )).
% 19.53/19.76 cnf(matrix-3352, plain, ( ( c_Int_Osucc(c_Int_OBit1(_u5515)) = c_Int_OBit0(c_Int_Osucc(_u5515))) )).
% 19.53/19.76 cnf(matrix-3353, plain, ( ( c_Int_Osucc(c_Int_OBit0(_u5516)) = c_Int_OBit1(_u5516)) )).
% 19.53/19.76 cnf(matrix-3354, plain, ( ~class_Int_Onumber__ring(_u5517) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5517), c_Int_OBit0(_u5518)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5517), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5517), c_Groups_Ozero__class_Ozero(_u5517)), hAPP(c_Int_Onumber__class_Onumber__of(_u5517), _u5518))), hAPP(c_Int_Onumber__class_Onumber__of(_u5517), _u5518))) )).
% 19.53/19.76 cnf(matrix-3355, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5519) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5519), _u5520), c_Groups_Ozero__class_Ozero(_u5519))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5519), _u5520) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5519), _u5520)) )).
% 19.53/19.76 cnf(matrix-3356, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5521) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5521), hAPP(c_Groups_Ouminus__class_Ouminus(_u5521), hAPP(c_Groups_Oabs__class_Oabs(_u5521), _u5522))), c_Groups_Ozero__class_Ozero(_u5521))) )).
% 19.53/19.76 cnf(matrix-3357, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5523) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5523), _u5524), c_Groups_Ozero__class_Ozero(_u5523))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5523), _u5524) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5523), _u5524)) )).
% 19.53/19.76 cnf(matrix-3358, plain, ( ~class_Groups_Oabs__if(_u5525) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5525), _u5526), c_Groups_Ozero__class_Ozero(_u5525))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5525), _u5526) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5525), _u5526)) )).
% 19.53/19.76 cnf(matrix-3359, plain, ( ~class_Groups_Oabs__if(_u5525) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5525), _u5526), c_Groups_Ozero__class_Ozero(_u5525))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5525), _u5526) = _u5526) )).
% 19.53/19.76 cnf(matrix-3360, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5529)), c_Int_OBit0(_u5531))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5529), _u5531)) )).
% 19.53/19.76 cnf(matrix-3361, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5530), _u5532)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5530)), c_Int_OBit0(_u5532))) )).
% 19.53/19.76 cnf(matrix-3362, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5535)), c_Int_OBit0(_u5537))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5535), _u5537)) )).
% 19.53/19.76 cnf(matrix-3363, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5536), _u5538)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u5536)), c_Int_OBit0(_u5538))) )).
% 19.53/19.76 cnf(matrix-3364, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5541)), c_Int_OBit1(_u5543))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5541), _u5543)) )).
% 19.53/19.76 cnf(matrix-3365, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5542), _u5544)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5542)), c_Int_OBit1(_u5544))) )).
% 19.53/19.76 cnf(matrix-3366, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5547)), c_Int_OBit1(_u5549))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5547), _u5549)) )).
% 19.53/19.76 cnf(matrix-3367, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5548), _u5550)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u5548)), c_Int_OBit1(_u5550))) )).
% 19.53/19.76 cnf(matrix-3368, plain, ( ~class_Int_Onumber__ring(_u5551) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5551), hAPP(c_Int_Onumber__class_Onumber__of(_u5551), _u5552)), hAPP(c_Int_Onumber__class_Onumber__of(_u5551), _u5553)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5551), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5552), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5553)))) )).
% 19.53/19.76 cnf(matrix-3369, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit1(_u5554)), _u5555) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5554), _u5555))), _u5555)) )).
% 19.53/19.76 cnf(matrix-3370, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5558)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5560)))) | ( _u5558 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.76 cnf(matrix-3371, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5558)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5560)))) | ( _u5560 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.76 cnf(matrix-3372, plain, ( ( _u5559 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u5561 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5559)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5561)))) )).
% 19.53/19.76 cnf(matrix-3373, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5562))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-3374, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5563)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5564)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5563), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5564)))) )).
% 19.53/19.76 cnf(matrix-3375, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5566), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u5566) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5566)) )).
% 19.53/19.76 cnf(matrix-3376, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5567), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u5567) = _u5567) )).
% 19.53/19.76 cnf(matrix-3377, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u5568))))) )).
% 19.53/19.76 cnf(matrix-3378, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u5569)), c_Int_OBit1(_u5570)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_Opred(_u5569)), _u5570))) )).
% 19.53/19.76 cnf(matrix-3379, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u5571)), c_Int_OBit1(_u5572)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5571), c_Int_Osucc(_u5572)))) )).
% 19.53/19.76 cnf(matrix-3380, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OPls)) )).
% 19.53/19.76 cnf(matrix-3381, plain, ( ~class_Int_Onumber__ring(_u5573) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5573), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5573), c_Groups_Oone__class_Oone(_u5573)), c_Groups_Oone__class_Oone(_u5573))), hAPP(c_Int_Onumber__class_Onumber__of(_u5573), _u5574)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5573), c_Int_OBit0(_u5574))) )).
% 19.53/19.76 cnf(matrix-3382, plain, ( ~class_Int_Onumber__ring(_u5575) | ~class_Rings_Olinordered__idom(_u5575) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5575), hAPP(c_Int_Onumber__class_Onumber__of(_u5575), _u5576)), c_Groups_Ozero__class_Ozero(_u5575))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5575), hAPP(c_Int_Onumber__class_Onumber__of(_u5575), _u5576)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u5575), hAPP(c_Int_Onumber__class_Onumber__of(_u5575), _u5576))) )).
% 19.53/19.76 cnf(matrix-3383, plain, ( ~class_Int_Onumber__ring(_u5575) | ~class_Rings_Olinordered__idom(_u5575) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5575), hAPP(c_Int_Onumber__class_Onumber__of(_u5575), _u5576)), c_Groups_Ozero__class_Ozero(_u5575))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5575), hAPP(c_Int_Onumber__class_Onumber__of(_u5575), _u5576)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5575), _u5576)) )).
% 19.53/19.76 cnf(matrix-3384, plain, ( ~class_Int_Onumber__ring(_u5577) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5577), hAPP(c_Int_Onumber__class_Onumber__of(_u5577), _u5578)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5577), _u5579), hAPP(c_Int_Onumber__class_Onumber__of(_u5577), _u5580))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5577), hAPP(c_Int_Onumber__class_Onumber__of(_u5577), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5578), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5580)))), _u5579)) )).
% 19.53/19.76 cnf(matrix-3385, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5581))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5581)))) )).
% 19.53/19.76 cnf(matrix-3386, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5581))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u5581)))) )).
% 19.53/19.76 cnf(matrix-3387, plain, ( ~class_Int_Onumber__ring(_u5582) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5582), c_Int_Opred(_u5583)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5582), hAPP(c_Groups_Ouminus__class_Ouminus(_u5582), c_Groups_Oone__class_Oone(_u5582))), hAPP(c_Int_Onumber__class_Onumber__of(_u5582), _u5583))) )).
% 19.53/19.76 cnf(matrix-3388, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u5584))))) )).
% 19.53/19.76 cnf(matrix-3389, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u5585)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-3390, plain, ( ~class_Int_Onumber__ring(_u5586) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5586), hAPP(c_Int_Onumber__class_Onumber__of(_u5586), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5587) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5586), _u5587), _u5587)) )).
% 19.53/19.76 cnf(matrix-3391, plain, ( ~class_Int_Onumber__ring(_u5588) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5588), _u5589), hAPP(c_Int_Onumber__class_Onumber__of(_u5588), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5588), _u5589), _u5589)) )).
% 19.53/19.76 cnf(matrix-3392, plain, ( ~class_Int_Onumber__ring(_u5590) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5590), c_Groups_Oone__class_Oone(_u5590)), c_Groups_Oone__class_Oone(_u5590)) = hAPP(c_Int_Onumber__class_Onumber__of(_u5590), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 19.53/19.76 cnf(matrix-3393, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 19.53/19.76 cnf(matrix-3394, plain, ( ( hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 19.53/19.76 cnf(matrix-3395, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 19.53/19.76 cnf(matrix-3396, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5591) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u5591))) )).
% 19.53/19.76 cnf(matrix-3397, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5592), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u5592))) )).
% 19.53/19.76 cnf(matrix-3398, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5593) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5593), _u5593)) )).
% 19.53/19.76 cnf(matrix-3399, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5594), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5594), _u5594)) )).
% 19.53/19.76 cnf(matrix-3400, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 19.53/19.76 cnf(matrix-3401, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 19.53/19.76 cnf(matrix-3402, plain, ( ~class_Int_Onumber__ring(_u5595) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596) != c_Groups_Oone__class_Oone(_u5595)) | c_Int_Oiszero(_u5595, hAPP(c_Int_Onumber__class_Onumber__of(_u5595), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5596), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 19.53/19.76 cnf(matrix-3403, plain, ( ~class_Int_Onumber__ring(_u5595) | ~c_Int_Oiszero(_u5595, hAPP(c_Int_Onumber__class_Onumber__of(_u5595), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5596), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u5595), _u5596) = c_Groups_Oone__class_Oone(_u5595)) )).
% 19.53/19.76 cnf(matrix-3404, plain, ( ~class_Int_Onumber__ring(_u5597) | ( c_Groups_Oone__class_Oone(_u5597) != hAPP(c_Int_Onumber__class_Onumber__of(_u5597), _u5598)) | c_Int_Oiszero(_u5597, hAPP(c_Int_Onumber__class_Onumber__of(_u5597), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5598)))) )).
% 19.53/19.76 cnf(matrix-3405, plain, ( ~class_Int_Onumber__ring(_u5597) | ~c_Int_Oiszero(_u5597, hAPP(c_Int_Onumber__class_Onumber__of(_u5597), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5598)))) | ( c_Groups_Oone__class_Oone(_u5597) = hAPP(c_Int_Onumber__class_Onumber__of(_u5597), _u5598)) )).
% 19.53/19.76 cnf(matrix-3406, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5599), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5600)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5599)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5600), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u5599))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-3407, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5603))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u5605)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5603))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5605), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5603)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-3408, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5604))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u5606)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5604))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5606)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5604)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-3409, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5607)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5608)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5607)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5608, _u5607)))) )).
% 19.53/19.76 cnf(matrix-3410, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5609), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5610))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u5609)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5610), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5609)) )).
% 19.53/19.76 cnf(matrix-3411, plain, ( hBOOL(hAPP(hAPP(c_member(_u5611), _u5612), _u5613)) | hBOOL(hAPP(hAPP(c_member(_u5611), _u5612), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5611, tc_HOL_Obool)), _u5613))) )).
% 19.53/19.76 cnf(matrix-3412, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5614, _u5615)), _u5615) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.53/19.76 cnf(matrix-3413, plain, ( ~class_Divides_Osemiring__div(_u5616) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5616), c_Divides_Odiv__class_Omod(_u5616, _u5617, _u5618)), _u5618) = c_Groups_Ozero__class_Ozero(_u5616)) )).
% 19.53/19.76 cnf(matrix-3414, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5620), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.53/19.76 cnf(matrix-3415, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5621, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u5621) )).
% 19.53/19.76 cnf(matrix-3416, plain, ( ~class_Divides_Osemiring__div(_u5622) | ( c_Divides_Odiv__class_Omod(_u5622, c_Divides_Odiv__class_Omod(_u5622, _u5623, _u5624), _u5624) = c_Divides_Odiv__class_Omod(_u5622, _u5623, _u5624)) )).
% 19.53/19.76 cnf(matrix-3417, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5625), _u5626)), _u5627) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5625), _u5627)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5626), _u5627))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5625, _u5627)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5626, _u5627))), _u5627))) )).
% 19.53/19.76 cnf(matrix-3418, plain, ( ~class_Divides_Osemiring__div(_u5628) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5628), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5628), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5628), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5628), _u5629), _u5630)), _u5630)), c_Divides_Odiv__class_Omod(_u5628, _u5629, _u5630))), _u5631) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5628), _u5629), _u5631)) )).
% 19.53/19.76 cnf(matrix-3419, plain, ( ~class_Divides_Osemiring__div(_u5632) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5632), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5632), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5632), _u5633), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5632), _u5634), _u5633))), c_Divides_Odiv__class_Omod(_u5632, _u5634, _u5633))), _u5635) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5632), _u5634), _u5635)) )).
% 19.53/19.76 cnf(matrix-3420, plain, ( ~class_Divides_Osemiring__div(_u5636) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5636), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5636), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5636), _u5637), _u5638)), _u5638)), c_Divides_Odiv__class_Omod(_u5636, _u5637, _u5638)) = _u5637) )).
% 19.53/19.76 cnf(matrix-3421, plain, ( ~class_Divides_Osemiring__div(_u5639) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5639), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5639), _u5640), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5639), _u5641), _u5640))), c_Divides_Odiv__class_Omod(_u5639, _u5641, _u5640)) = _u5641) )).
% 19.53/19.76 cnf(matrix-3422, plain, ( ~class_Divides_Osemiring__div(_u5642) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5642), c_Divides_Odiv__class_Omod(_u5642, _u5643, _u5644)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5642), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5642), _u5643), _u5644)), _u5644)) = _u5643) )).
% 19.53/19.76 cnf(matrix-3423, plain, ( ( _u5645 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5646), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5645), _u5646))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5645, _u5646))) )).
% 19.53/19.76 cnf(matrix-3424, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5647), _u5648)), _u5649) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5647), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5648), _u5649))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5647), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5648, _u5649))), _u5649))) )).
% 19.53/19.76 cnf(matrix-3425, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5650), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5651), _u5650))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5651, _u5650))), _u5652) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5651), _u5652)) )).
% 19.53/19.76 cnf(matrix-3426, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5653), _u5654)), _u5654)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5653, _u5654))), _u5655) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5653), _u5655)) )).
% 19.53/19.76 cnf(matrix-3427, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5656, _u5657) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5656), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5656), _u5657)), _u5657))) )).
% 19.53/19.76 cnf(matrix-3428, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5658), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5659), _u5658)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5659), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5659, _u5658))) )).
% 19.53/19.76 cnf(matrix-3429, plain, ( ~class_Divides_Osemiring__div(_u5660) | ( c_Divides_Odiv__class_Omod(_u5660, c_Groups_Ozero__class_Ozero(_u5660), _u5661) = c_Groups_Ozero__class_Ozero(_u5660)) )).
% 19.53/19.76 cnf(matrix-3430, plain, ( ~class_Divides_Osemiring__div(_u5662) | ( c_Divides_Odiv__class_Omod(_u5662, _u5663, c_Groups_Ozero__class_Ozero(_u5662)) = _u5663) )).
% 19.53/19.76 cnf(matrix-3431, plain, ( ~class_Divides_Osemiring__div(_u5664) | ( c_Divides_Odiv__class_Omod(_u5664, _u5665, _u5665) = c_Groups_Ozero__class_Ozero(_u5664)) )).
% 19.53/19.76 cnf(matrix-3432, plain, ( ~class_Divides_Osemiring__div(_u5666) | ( c_Divides_Odiv__class_Omod(_u5666, _u5667, _u5668) != c_Divides_Odiv__class_Omod(_u5666, _u5669, _u5668)) | ( c_Divides_Odiv__class_Omod(_u5666, _u5670, _u5668) != c_Divides_Odiv__class_Omod(_u5666, _u5671, _u5668)) | ( c_Divides_Odiv__class_Omod(_u5666, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5666), _u5667), _u5670), _u5668) = c_Divides_Odiv__class_Omod(_u5666, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5666), _u5669), _u5671), _u5668)) )).
% 19.53/19.76 cnf(matrix-3433, plain, ( ~class_Divides_Osemiring__div(_u5672) | ( c_Divides_Odiv__class_Omod(_u5672, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5672), c_Divides_Odiv__class_Omod(_u5672, _u5673, _u5674)), _u5675), _u5674) = c_Divides_Odiv__class_Omod(_u5672, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5672), _u5673), _u5675), _u5674)) )).
% 19.53/19.76 cnf(matrix-3434, plain, ( ~class_Divides_Osemiring__div(_u5676) | ( c_Divides_Odiv__class_Omod(_u5676, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5676), _u5677), c_Divides_Odiv__class_Omod(_u5676, _u5678, _u5679)), _u5679) = c_Divides_Odiv__class_Omod(_u5676, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5676), _u5677), _u5678), _u5679)) )).
% 19.53/19.76 cnf(matrix-3435, plain, ( ~class_Divides_Osemiring__div(_u5680) | ( c_Divides_Odiv__class_Omod(_u5680, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5680), _u5681), _u5682), _u5683) = c_Divides_Odiv__class_Omod(_u5680, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5680), c_Divides_Odiv__class_Omod(_u5680, _u5681, _u5683)), c_Divides_Odiv__class_Omod(_u5680, _u5682, _u5683)), _u5683)) )).
% 19.53/19.76 cnf(matrix-3436, plain, ( ~class_Divides_Osemiring__div(_u5684) | ( c_Divides_Odiv__class_Omod(_u5684, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5684), _u5685), _u5686), _u5687) = c_Divides_Odiv__class_Omod(_u5684, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5684), c_Divides_Odiv__class_Omod(_u5684, _u5685, _u5687)), _u5686), _u5687)) )).
% 19.53/19.76 cnf(matrix-3437, plain, ( ~class_Divides_Osemiring__div(_u5688) | ( c_Divides_Odiv__class_Omod(_u5688, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5688), _u5689), _u5690), _u5691) = c_Divides_Odiv__class_Omod(_u5688, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5688), _u5689), c_Divides_Odiv__class_Omod(_u5688, _u5690, _u5691)), _u5691)) )).
% 19.53/19.76 cnf(matrix-3438, plain, ( ~class_Divides_Osemiring__div(_u5692) | ( c_Divides_Odiv__class_Omod(_u5692, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5692), _u5693), _u5694), _u5693) = c_Divides_Odiv__class_Omod(_u5692, _u5694, _u5693)) )).
% 19.53/19.76 cnf(matrix-3439, plain, ( ~class_Divides_Osemiring__div(_u5695) | ( c_Divides_Odiv__class_Omod(_u5695, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5695), _u5696), _u5697), _u5697) = c_Divides_Odiv__class_Omod(_u5695, _u5696, _u5697)) )).
% 19.53/19.76 cnf(matrix-3440, plain, ( ~class_Divides_Osemiring__div(_u5698) | ( c_Divides_Odiv__class_Omod(_u5698, _u5699, _u5700) != c_Divides_Odiv__class_Omod(_u5698, _u5701, _u5700)) | ( c_Divides_Odiv__class_Omod(_u5698, _u5702, _u5700) != c_Divides_Odiv__class_Omod(_u5698, _u5703, _u5700)) | ( c_Divides_Odiv__class_Omod(_u5698, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5698), _u5699), _u5702), _u5700) = c_Divides_Odiv__class_Omod(_u5698, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5698), _u5701), _u5703), _u5700)) )).
% 19.53/19.76 cnf(matrix-3441, plain, ( ~class_Divides_Osemiring__div(_u5704) | ( c_Divides_Odiv__class_Omod(_u5704, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5704), c_Divides_Odiv__class_Omod(_u5704, _u5705, _u5706)), _u5707), _u5706) = c_Divides_Odiv__class_Omod(_u5704, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5704), _u5705), _u5707), _u5706)) )).
% 19.53/19.76 cnf(matrix-3442, plain, ( ~class_Divides_Osemiring__div(_u5708) | ( c_Divides_Odiv__class_Omod(_u5708, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5708), _u5709), _u5710), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5708), _u5711), _u5710)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5708), c_Divides_Odiv__class_Omod(_u5708, _u5709, _u5711)), _u5710)) )).
% 19.53/19.76 cnf(matrix-3443, plain, ( ~class_Divides_Osemiring__div(_u5712) | ( c_Divides_Odiv__class_Omod(_u5712, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5712), _u5713), _u5714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5712), _u5713), _u5715)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5712), _u5713), c_Divides_Odiv__class_Omod(_u5712, _u5714, _u5715))) )).
% 19.53/19.76 cnf(matrix-3444, plain, ( ~class_Divides_Osemiring__div(_u5716) | ( c_Divides_Odiv__class_Omod(_u5716, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5716), _u5717), _u5718), _u5719) = c_Divides_Odiv__class_Omod(_u5716, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5716), c_Divides_Odiv__class_Omod(_u5716, _u5717, _u5719)), c_Divides_Odiv__class_Omod(_u5716, _u5718, _u5719)), _u5719)) )).
% 19.53/19.76 cnf(matrix-3445, plain, ( ~class_Divides_Osemiring__div(_u5720) | ( c_Divides_Odiv__class_Omod(_u5720, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5720), _u5721), _u5722), _u5723) = c_Divides_Odiv__class_Omod(_u5720, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5720), c_Divides_Odiv__class_Omod(_u5720, _u5721, _u5723)), _u5722), _u5723)) )).
% 19.53/19.76 cnf(matrix-3446, plain, ( ~class_Divides_Osemiring__div(_u5724) | ( c_Divides_Odiv__class_Omod(_u5724, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5724), _u5725), _u5726), _u5727) = c_Divides_Odiv__class_Omod(_u5724, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5724), _u5725), c_Divides_Odiv__class_Omod(_u5724, _u5726, _u5727)), _u5727)) )).
% 19.53/19.76 cnf(matrix-3447, plain, ( ~class_Divides_Oring__div(_u5728) | ( c_Divides_Odiv__class_Omod(_u5728, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5728), _u5729), _u5730), _u5731) = c_Divides_Odiv__class_Omod(_u5728, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5728), _u5729), c_Divides_Odiv__class_Omod(_u5728, _u5730, _u5731)), _u5731)) )).
% 19.53/19.76 cnf(matrix-3448, plain, ( ~class_Divides_Oring__div(_u5732) | ( c_Divides_Odiv__class_Omod(_u5732, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5732), _u5733), _u5734), _u5735) = c_Divides_Odiv__class_Omod(_u5732, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5732), c_Divides_Odiv__class_Omod(_u5732, _u5733, _u5735)), _u5734), _u5735)) )).
% 19.53/19.76 cnf(matrix-3449, plain, ( ~class_Divides_Oring__div(_u5736) | ( c_Divides_Odiv__class_Omod(_u5736, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5736), _u5737), _u5738), _u5739) = c_Divides_Odiv__class_Omod(_u5736, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5736), c_Divides_Odiv__class_Omod(_u5736, _u5737, _u5739)), c_Divides_Odiv__class_Omod(_u5736, _u5738, _u5739)), _u5739)) )).
% 19.53/19.76 cnf(matrix-3450, plain, ( ~class_Divides_Oring__div(_u5740) | ( c_Divides_Odiv__class_Omod(_u5740, _u5741, _u5742) != c_Divides_Odiv__class_Omod(_u5740, _u5743, _u5742)) | ( c_Divides_Odiv__class_Omod(_u5740, _u5744, _u5742) != c_Divides_Odiv__class_Omod(_u5740, _u5745, _u5742)) | ( c_Divides_Odiv__class_Omod(_u5740, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5740), _u5741), _u5744), _u5742) = c_Divides_Odiv__class_Omod(_u5740, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5740), _u5743), _u5745), _u5742)) )).
% 19.53/19.76 cnf(matrix-3451, plain, ( ~class_Divides_Oring__div(_u5746) | ( c_Divides_Odiv__class_Omod(_u5746, _u5747, _u5748) != c_Divides_Odiv__class_Omod(_u5746, _u5749, _u5748)) | ( c_Divides_Odiv__class_Omod(_u5746, hAPP(c_Groups_Ouminus__class_Ouminus(_u5746), _u5747), _u5748) = c_Divides_Odiv__class_Omod(_u5746, hAPP(c_Groups_Ouminus__class_Ouminus(_u5746), _u5749), _u5748)) )).
% 19.53/19.76 cnf(matrix-3452, plain, ( ~class_Divides_Oring__div(_u5750) | ( c_Divides_Odiv__class_Omod(_u5750, hAPP(c_Groups_Ouminus__class_Ouminus(_u5750), _u5751), _u5752) = c_Divides_Odiv__class_Omod(_u5750, hAPP(c_Groups_Ouminus__class_Ouminus(_u5750), c_Divides_Odiv__class_Omod(_u5750, _u5751, _u5752)), _u5752)) )).
% 19.53/19.76 cnf(matrix-3453, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u5753), _u5754), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5753, tc_HOL_Obool)), _u5755))) | ~hBOOL(hAPP(hAPP(c_member(_u5753), _u5754), _u5755)) )).
% 19.53/19.76 cnf(matrix-3454, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u5756), _u5757), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5756, tc_HOL_Obool)), _u5758))) | ~hBOOL(hAPP(hAPP(c_member(_u5756), _u5757), _u5758)) )).
% 19.53/19.76 cnf(matrix-3455, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u5762), _u5764), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5762, tc_HOL_Obool)), _u5766))) | ~hBOOL(hAPP(hAPP(c_member(_u5762), _u5764), _u5766)) )).
% 19.53/19.76 cnf(matrix-3456, plain, ( hBOOL(hAPP(hAPP(c_member(_u5763), _u5765), _u5767)) | hBOOL(hAPP(hAPP(c_member(_u5763), _u5765), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5763, tc_HOL_Obool)), _u5767))) )).
% 19.53/19.76 cnf(matrix-3457, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5768) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.53/19.76 cnf(matrix-3458, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u5769) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.53/19.76 cnf(matrix-3459, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5770, _u5770) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.53/19.76 cnf(matrix-3460, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5771, tc_HOL_Obool)), _u5772), _u5773)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5771, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5771, tc_HOL_Obool)), _u5773)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5771, tc_HOL_Obool)), _u5772))) )).
% 19.53/19.76 cnf(matrix-3461, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5777, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5777, tc_HOL_Obool)), _u5779)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5777, tc_HOL_Obool)), _u5781))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5777, tc_HOL_Obool)), _u5781), _u5779)) )).
% 19.53/19.76 cnf(matrix-3462, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5778, tc_HOL_Obool)), _u5782), _u5780)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5778, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5778, tc_HOL_Obool)), _u5780)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5778, tc_HOL_Obool)), _u5782))) )).
% 19.53/19.76 cnf(matrix-3463, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5783)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5784)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5783), _u5784)) )).
% 19.53/19.76 cnf(matrix-3464, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5785), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5786)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5785)), _u5786)) )).
% 19.53/19.76 cnf(matrix-3465, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5787), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5788, _u5789)), _u5789) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5787), _u5788), _u5789)) )).
% 19.53/19.76 cnf(matrix-3466, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5790), _u5791), _u5792) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5790), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5791, _u5792)), _u5792)) )).
% 19.53/19.76 cnf(matrix-3467, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5793), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5794, _u5795)), _u5795) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5793), _u5794), _u5795)) )).
% 19.53/19.76 cnf(matrix-3468, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5796, _u5797)), _u5798), _u5797) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5796), _u5798), _u5797)) )).
% 19.53/19.76 cnf(matrix-3469, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5799, _u5800)), _u5800) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5799), _u5800)) )).
% 19.53/19.76 cnf(matrix-3470, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5801), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5802)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5801, _u5802))) )).
% 19.53/19.76 cnf(matrix-3471, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5803, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5804)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5803), _u5804))) )).
% 19.53/19.76 cnf(matrix-3472, plain, ( ~class_Divides_Osemiring__div(_u5805) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5805), c_Groups_Ozero__class_Ozero(_u5805)), _u5806) = c_Groups_Ozero__class_Ozero(_u5805)) )).
% 19.53/19.76 cnf(matrix-3473, plain, ( ~class_Divides_Osemiring__div(_u5807) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5807), _u5808), c_Groups_Ozero__class_Ozero(_u5807)) = c_Groups_Ozero__class_Ozero(_u5807)) )).
% 19.53/19.76 cnf(matrix-3474, plain, ( ~class_Divides_Osemiring__div(_u5809) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5809), _u5810), c_Groups_Oone__class_Oone(_u5809)) = _u5810) )).
% 19.53/19.76 cnf(matrix-3475, plain, ( ~class_Divides_Osemiring__div(_u5811) | ( c_Divides_Odiv__class_Omod(_u5811, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5811), _u5812), _u5813), _u5813) = c_Groups_Ozero__class_Ozero(_u5811)) )).
% 19.53/19.76 cnf(matrix-3476, plain, ( ~class_Divides_Osemiring__div(_u5814) | ( c_Divides_Odiv__class_Omod(_u5814, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5814), _u5815), _u5816), _u5815) = c_Groups_Ozero__class_Ozero(_u5814)) )).
% 19.53/19.76 cnf(matrix-3477, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5817)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5818, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5819), _u5817)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5819), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5818), _u5819), _u5817))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5818, _u5819))) )).
% 19.53/19.76 cnf(matrix-3478, plain, ( ~class_Divides_Osemiring__div(_u5820) | ( c_Divides_Odiv__class_Omod(_u5820, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5820), _u5821), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5820), _u5822), _u5823)), _u5823) = c_Divides_Odiv__class_Omod(_u5820, _u5821, _u5823)) )).
% 19.53/19.76 cnf(matrix-3479, plain, ( ~class_Divides_Osemiring__div(_u5824) | ( c_Divides_Odiv__class_Omod(_u5824, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5824), _u5825), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5824), _u5826), _u5827)), _u5826) = c_Divides_Odiv__class_Omod(_u5824, _u5825, _u5826)) )).
% 19.53/19.76 cnf(matrix-3480, plain, ( ~class_Divides_Osemiring__div(_u5828) | ( c_Divides_Odiv__class_Omod(_u5828, _u5829, c_Groups_Oone__class_Oone(_u5828)) = c_Groups_Ozero__class_Ozero(_u5828)) )).
% 19.53/19.76 cnf(matrix-3481, plain, ( ( _u5830 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5831, _u5830) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5831)), _u5830) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5831), _u5830))) )).
% 19.53/19.76 cnf(matrix-3482, plain, ( ( _u5830 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5831, _u5830) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5831)), _u5830) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5831), _u5830))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-3483, plain, ( ( _u5832 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5833, _u5832) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5833), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5832)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5833), _u5832))) )).
% 19.53/19.76 cnf(matrix-3484, plain, ( ( _u5832 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5833, _u5832) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5833), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5832)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5833), _u5832))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-3485, plain, ( ~class_Rings_Osemiring__1(_u5834) | c_Int_Oiszero(_u5834, c_Groups_Ozero__class_Ozero(_u5834)) )).
% 19.53/19.76 cnf(matrix-3486, plain, ( ~class_Rings_Osemiring__1(_u5835) | ~c_Int_Oiszero(_u5835, _u5836) | ( _u5836 = c_Groups_Ozero__class_Ozero(_u5835)) )).
% 19.53/19.76 cnf(matrix-3487, plain, ( ~class_Rings_Osemiring__1(_u5835) | ( _u5836 != c_Groups_Ozero__class_Ozero(_u5835)) | c_Int_Oiszero(_u5835, _u5836) )).
% 19.53/19.76 cnf(matrix-3488, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5837)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5838)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5837), _u5838))) )).
% 19.53/19.76 cnf(matrix-3489, plain, ( ~class_Rings_Osemiring__1(_u5839) | ~c_Int_Oiszero(_u5839, c_Groups_Oone__class_Oone(_u5839)) )).
% 19.53/19.76 cnf(matrix-3490, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5840)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5841), _u5840)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5841), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-3491, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5840)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5841), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5841), _u5840)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-3492, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5842), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5843), _u5842)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5843)) )).
% 19.53/19.76 cnf(matrix-3493, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5842), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5843)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5843), _u5842)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-3494, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5844), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5845)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5844), _u5845)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-3495, plain, ( ( _u5846 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5846), _u5846) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 19.53/19.76 cnf(matrix-3496, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5849, tc_HOL_Obool)), _u5851), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5849, tc_HOL_Obool)), _u5851))) | ( _u5851 = c_Orderings_Obot__class_Obot(tc_fun(_u5849, tc_HOL_Obool))) )).
% 19.53/19.76 cnf(matrix-3497, plain, ( ( _u5852 != c_Orderings_Obot__class_Obot(tc_fun(_u5850, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5850, tc_HOL_Obool)), _u5852), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5850, tc_HOL_Obool)), _u5852))) )).
% 19.53/19.76 cnf(matrix-3498, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5853)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5854)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5853, _u5854))) )).
% 19.53/19.76 cnf(matrix-3499, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5855)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5855, _u5856)), _u5855)) )).
% 19.53/19.76 cnf(matrix-3500, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5857)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5858, _u5857)), _u5857)) )).
% 19.53/19.76 cnf(matrix-3501, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5859), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5859), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5860, _u5859))) )).
% 19.53/19.76 cnf(matrix-3502, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5861, tc_HOL_Obool)), _u5862), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5861, tc_HOL_Obool)), _u5862)) = c_Orderings_Obot__class_Obot(tc_fun(_u5861, tc_HOL_Obool))) )).
% 19.53/19.76 cnf(matrix-3503, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5863, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5863, tc_HOL_Obool)), _u5864)), _u5864) = c_Orderings_Obot__class_Obot(tc_fun(_u5863, tc_HOL_Obool))) )).
% 19.53/19.76 cnf(matrix-3504, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5865))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u5866))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5865)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u5866))) )).
% 19.53/19.76 cnf(matrix-3505, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5871, _u5873) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5871 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5873), skolem111(_u5873, _u5871))) )).
% 19.53/19.76 cnf(matrix-3506, plain, ( ( _u5872 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5874), _u5868)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5872, _u5874) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.53/19.76 cnf(matrix-3507, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5875, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5875, tc_HOL_Obool)), _u5876), _u5877)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5875, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5875, tc_HOL_Obool)), _u5876)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5875, tc_HOL_Obool)), _u5877))) )).
% 19.53/19.76 cnf(matrix-3508, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5878, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5878, tc_HOL_Obool)), _u5879), _u5880)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5878, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5878, tc_HOL_Obool)), _u5879)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5878, tc_HOL_Obool)), _u5880))) )).
% 19.53/19.76 cnf(matrix-3509, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5881), _u5882) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5881, _u5882) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.53/19.76 cnf(matrix-3510, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5883, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5884)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5883, _u5884) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.53/19.76 cnf(matrix-3511, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5885, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5885, tc_HOL_Obool)), _u5886), _u5887)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5885, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5885, tc_HOL_Obool)), _u5886)), _u5887)) )).
% 19.53/19.76 cnf(matrix-3512, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5888, tc_HOL_Obool)), _u5889), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5888, tc_HOL_Obool)), _u5890)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5888, tc_HOL_Obool)), _u5889), _u5890)) )).
% 19.53/19.76 cnf(matrix-3513, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5891, tc_HOL_Obool)), _u5892), _u5893) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5891, tc_HOL_Obool)), _u5892), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5891, tc_HOL_Obool)), _u5893))) )).
% 19.53/19.76 cnf(matrix-3514, plain, ( ~class_Divides_Osemiring__div(_u5894) | ( _u5895 != c_Groups_Ozero__class_Ozero(_u5894)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5894), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5894), _u5895), _u5896)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5894), _u5895), _u5897)) = c_Groups_Ozero__class_Ozero(_u5894)) )).
% 19.53/19.76 cnf(matrix-3515, plain, ( ~class_Divides_Osemiring__div(_u5894) | ( _u5895 = c_Groups_Ozero__class_Ozero(_u5894)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5894), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5894), _u5895), _u5896)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5894), _u5895), _u5897)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5894), _u5896), _u5897)) )).
% 19.53/19.76 cnf(matrix-3516, plain, ( ~class_Divides_Osemiring__div(_u5898) | ( _u5899 = c_Groups_Ozero__class_Ozero(_u5898)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5898), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5898), _u5900), _u5899)), _u5899) = _u5900) )).
% 19.53/19.76 cnf(matrix-3517, plain, ( ~class_Divides_Osemiring__div(_u5901) | ( _u5902 = c_Groups_Ozero__class_Ozero(_u5901)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5901), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5901), _u5902), _u5903)), _u5902) = _u5903) )).
% 19.53/19.76 cnf(matrix-3518, plain, ( ~class_Divides_Osemiring__div(_u5904) | ( _u5905 = c_Groups_Ozero__class_Ozero(_u5904)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5904), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5904), _u5906), _u5905)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5904), _u5907), _u5905)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5904), _u5906), _u5907)) )).
% 19.53/19.76 cnf(matrix-3519, plain, ( ~class_Divides_Osemiring__div(_u5908) | ( _u5909 = c_Groups_Ozero__class_Ozero(_u5908)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5908), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5908), _u5909), _u5910)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5908), _u5909), _u5911)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5908), _u5910), _u5911)) )).
% 19.53/19.76 cnf(matrix-3520, plain, ( ~class_Divides_Osemiring__div(_u5912) | ( _u5913 = c_Groups_Ozero__class_Ozero(_u5912)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u5912), _u5913), _u5913) = c_Groups_Oone__class_Oone(_u5912)) )).
% 19.53/19.76 cnf(matrix-3521, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5918), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(_u5919, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5920), _u5918)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5920, _u5918))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5918), _u5914)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5914), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u5920 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5918), _u5915)), _u5914)) | hBOOL(hAPP(hAPP(_u5919, _u5915), _u5914)) )).
% 19.53/19.76 cnf(matrix-3522, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5918), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u5919, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5920), _u5918)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5920, _u5918))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5918), skolem113(_u5920, _u5919, _u5918))) )).
% 19.53/19.76 cnf(matrix-3523, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5918), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u5919, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5920), _u5918)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5920, _u5918))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem113(_u5920, _u5919, _u5918)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-3524, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5918), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u5919, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5920), _u5918)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5920, _u5918))) | ( _u5920 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5918), skolem112(_u5920, _u5919, _u5918))), skolem113(_u5920, _u5919, _u5918))) )).
% 19.53/19.76 cnf(matrix-3525, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5918), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u5919, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5920), _u5918)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5920, _u5918))) | ~hBOOL(hAPP(hAPP(_u5919, skolem112(_u5920, _u5919, _u5918)), skolem113(_u5920, _u5919, _u5918))) )).
% 19.53/19.76 cnf(matrix-3526, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5925)) | ~hBOOL(hAPP(hAPP(_u5926, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5927), _u5925)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5927, _u5925))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5921)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5921), _u5925)) | ( _u5927 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5925), _u5922)), _u5921)) | hBOOL(hAPP(hAPP(_u5926, _u5922), _u5921)) )).
% 19.53/19.76 cnf(matrix-3527, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5925)) | hBOOL(hAPP(hAPP(_u5926, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5927), _u5925)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5927, _u5925))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem115(_u5927, _u5926, _u5925))) )).
% 19.53/19.76 cnf(matrix-3528, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5925)) | hBOOL(hAPP(hAPP(_u5926, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5927), _u5925)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5927, _u5925))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem115(_u5927, _u5926, _u5925)), _u5925)) )).
% 19.53/19.76 cnf(matrix-3529, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5925)) | hBOOL(hAPP(hAPP(_u5926, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5927), _u5925)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5927, _u5925))) | ( _u5927 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5925), skolem114(_u5927, _u5926, _u5925))), skolem115(_u5927, _u5926, _u5925))) )).
% 19.53/19.76 cnf(matrix-3530, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5925)) | hBOOL(hAPP(hAPP(_u5926, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5927), _u5925)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5927, _u5925))) | ~hBOOL(hAPP(hAPP(_u5926, skolem114(_u5927, _u5926, _u5925)), skolem115(_u5927, _u5926, _u5925))) )).
% 19.53/19.76 cnf(matrix-3531, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5928), _u5929)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5930), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5929), _u5930)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5928), _u5930))) )).
% 19.53/19.76 cnf(matrix-3532, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5931), _u5932)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5933)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5931), _u5933)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5932), _u5933))) )).
% 19.53/19.76 cnf(matrix-3533, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5934), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5935), _u5934)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5934), _u5935) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.53/19.76 cnf(matrix-3534, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5936), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5937)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5937), _u5938)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5936), _u5937)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5936), _u5938))) )).
% 19.53/19.76 cnf(matrix-3535, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5939), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5940)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5939), _u5940)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-3536, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5941), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5942), _u5941))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5942), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-3537, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5941), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5942), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5942), _u5941))) )).
% 19.53/19.76 cnf(matrix-3538, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5943)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5943), _u5944)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5943), _u5944) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.53/19.76 cnf(matrix-3539, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5945)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5946), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5945), _u5946)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-3540, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5947)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5948)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5948), _u5949)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5947), _u5949)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5947), _u5948))) )).
% 19.53/19.76 cnf(matrix-3541, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5950)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5950), _u5951))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5951), _u5950)) )).
% 19.53/19.76 cnf(matrix-3542, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5950)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5950), _u5951))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5951)) )).
% 19.53/19.76 cnf(matrix-3543, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5950)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5951), _u5950)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5951)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5950), _u5951))) )).
% 19.53/19.76 cnf(matrix-3544, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5952)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5953), _u5952))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5952), _u5953)) )).
% 19.53/19.76 cnf(matrix-3545, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5952)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5952), _u5953)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5953), _u5952))) )).
% 19.53/19.76 cnf(matrix-3546, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5954)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5955), _u5954))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5955)) )).
% 19.53/19.76 cnf(matrix-3547, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5954)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5955)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5955), _u5954))) )).
% 19.53/19.76 cnf(matrix-3548, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5958), _u5960) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5960 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5958)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5958), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-3549, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5958), _u5960) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5960 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5958)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5960), _u5958)) )).
% 19.53/19.76 cnf(matrix-3550, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5958), _u5960) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5960 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5958), _u5960)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5958), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-3551, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5958), _u5960) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5960 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5958), _u5960)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5960), _u5958)) )).
% 19.53/19.76 cnf(matrix-3552, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5959), _u5961) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u5961 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.53/19.76 cnf(matrix-3553, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5959), _u5961) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5959)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5959), _u5961)) )).
% 19.53/19.76 cnf(matrix-3554, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5959), _u5961) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5959), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5961), _u5959)) )).
% 19.53/19.76 cnf(matrix-3555, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5962)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u5963)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5962), _u5963)), _u5962)) )).
% 19.53/19.76 cnf(matrix-3556, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5964)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5965), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5966), _u5964)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u5965), _u5966)), _u5964)) )).
% 19.53/19.76 cnf(matrix-3557, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5967), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5968), _u5967)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5967, _u5968) = _u5967) )).
% 19.53/19.76 cnf(matrix-3558, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5969), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5970, _u5969)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-3559, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5969), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5969), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5970, _u5969))) )).
% 19.53/19.76 cnf(matrix-3560, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5971), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5972, _u5971)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-3561, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5973)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5973), _u5974)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5973, _u5974) = _u5973) )).
% 19.53/19.76 cnf(matrix-3562, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5975)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5976, _u5975))) )).
% 19.53/19.76 cnf(matrix-3563, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5975)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5976, _u5975)), _u5975)) )).
% 19.53/19.76 cnf(matrix-3564, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5977)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5978, _u5977))) )).
% 19.53/19.76 cnf(matrix-3565, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5982, tc_HOL_Obool)), _u5984), _u5986) != c_Orderings_Obot__class_Obot(tc_fun(_u5982, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5982, tc_HOL_Obool)), _u5984), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5982, tc_HOL_Obool)), _u5986))) )).
% 19.53/19.76 cnf(matrix-3566, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5983, tc_HOL_Obool)), _u5985), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u5983, tc_HOL_Obool)), _u5987))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5983, tc_HOL_Obool)), _u5985), _u5987) = c_Orderings_Obot__class_Obot(tc_fun(_u5983, tc_HOL_Obool))) )).
% 19.53/19.76 cnf(matrix-3567, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5990, _u5992) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5990, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5992)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.53/19.76 cnf(matrix-3568, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5991, _u5993) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5991, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5993)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5991, _u5993)), _u5993)) )).
% 19.53/19.76 cnf(matrix-3569, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5996, _u5998) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5996), _u5998) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.53/19.76 cnf(matrix-3570, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5997, _u5999) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u5997), _u5999) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5999), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u5997, _u5999))) )).
% 19.53/19.76 cnf(matrix-3571, plain, ( ~class_Divides_Osemiring__div(_u6000) | ( _u6001 = c_Groups_Ozero__class_Ozero(_u6000)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6000), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6000), _u6002), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6000), _u6003), _u6001))), _u6001) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6000), _u6003), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6000), _u6002), _u6001))) )).
% 19.53/19.76 cnf(matrix-3572, plain, ( ~class_Divides_Osemiring__div(_u6004) | ( _u6005 = c_Groups_Ozero__class_Ozero(_u6004)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6004), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6004), _u6006), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6004), _u6005), _u6007))), _u6005) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6004), _u6007), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6004), _u6006), _u6005))) )).
% 19.53/19.76 cnf(matrix-3573, plain, ( ~class_Divides_Osemiring__div(_u6008) | ( _u6009 = c_Groups_Ozero__class_Ozero(_u6008)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6008), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6008), _u6010), _u6009)), _u6009) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6008), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6008), _u6010), _u6009)), c_Groups_Oone__class_Oone(_u6008))) )).
% 19.53/19.76 cnf(matrix-3574, plain, ( ~class_Divides_Osemiring__div(_u6011) | ( _u6012 = c_Groups_Ozero__class_Ozero(_u6011)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6011), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6011), _u6012), _u6013)), _u6012) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6011), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u6011), _u6013), _u6012)), c_Groups_Oone__class_Oone(_u6011))) )).
% 19.53/19.76 cnf(matrix-3575, plain, ( ~class_Int_Onumber__ring(_u6014) | c_Int_Oiszero(_u6014, hAPP(c_Int_Onumber__class_Onumber__of(_u6014), c_Int_OPls)) )).
% 19.53/19.76 cnf(matrix-3576, plain, ( ~class_Int_Onumber__ring(_u6015) | ~class_Int_Oring__char__0(_u6015) | ~c_Int_Oiszero(_u6015, hAPP(c_Int_Onumber__class_Onumber__of(_u6015), c_Int_OBit1(_u6016))) )).
% 19.53/19.76 cnf(matrix-3577, plain, ( ~class_Int_Onumber__ring(_u6017) | ~class_Int_Oring__char__0(_u6017) | ~c_Int_Oiszero(_u6017, hAPP(c_Int_Onumber__class_Onumber__of(_u6017), c_Int_OBit0(_u6018))) | c_Int_Oiszero(_u6017, hAPP(c_Int_Onumber__class_Onumber__of(_u6017), _u6018)) )).
% 19.53/19.76 cnf(matrix-3578, plain, ( ~class_Int_Onumber__ring(_u6017) | ~class_Int_Oring__char__0(_u6017) | ~c_Int_Oiszero(_u6017, hAPP(c_Int_Onumber__class_Onumber__of(_u6017), _u6018)) | c_Int_Oiszero(_u6017, hAPP(c_Int_Onumber__class_Onumber__of(_u6017), c_Int_OBit0(_u6018))) )).
% 19.53/19.76 cnf(matrix-3579, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6019)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6019), _u6020)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6019, _u6020) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6019), _u6020)) )).
% 19.53/19.76 cnf(matrix-3580, plain, ( ( _u6021 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6022), _u6023)), _u6024)) | ( _u6022 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6021), _u6022) = _u6023) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6022)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6022), _u6024)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6024), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-3581, plain, ( ( _u6021 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6022), _u6023)), _u6024)) | ( _u6022 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6021), _u6022) = _u6023) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6024)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6024), _u6022)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6022)) )).
% 19.53/19.76 cnf(matrix-3582, plain, ( ( _u6021 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6022), _u6023)), _u6024)) | ( _u6022 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6021), _u6022) = _u6023) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6024)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6024), _u6022)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6022), _u6024)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6024), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-3583, plain, ( ~hBOOL(hAPP(_u6036, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6038), _u6040))) | ( _u6040 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u6036, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-3584, plain, ( ~hBOOL(hAPP(_u6036, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6038), _u6040))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6040)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6025)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6025), _u6040)) | ( _u6038 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6040), _u6026)), _u6025)) | hBOOL(hAPP(_u6036, _u6026)) )).
% 19.53/19.76 cnf(matrix-3585, plain, ( ~hBOOL(hAPP(_u6036, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6038), _u6040))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6040), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6040), _u6027)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6027), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6038 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6040), _u6028)), _u6027)) | hBOOL(hAPP(_u6036, _u6028)) )).
% 19.53/19.76 cnf(matrix-3586, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6041)) )).
% 19.53/19.76 cnf(matrix-3587, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem117(_u6041, _u6039, _u6037))) )).
% 19.53/19.76 cnf(matrix-3588, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem117(_u6041, _u6039, _u6037)), _u6041)) )).
% 19.53/19.76 cnf(matrix-3589, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem116(_u6041, _u6039, _u6037))), skolem117(_u6041, _u6039, _u6037))) )).
% 19.53/19.76 cnf(matrix-3590, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6037, skolem116(_u6041, _u6039, _u6037))) )).
% 19.53/19.76 cnf(matrix-3591, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6041)) )).
% 19.53/19.76 cnf(matrix-3592, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem117(_u6041, _u6039, _u6037))) )).
% 19.53/19.76 cnf(matrix-3593, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem117(_u6041, _u6039, _u6037)), _u6041)) )).
% 19.53/19.76 cnf(matrix-3594, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem116(_u6041, _u6039, _u6037))), skolem117(_u6041, _u6039, _u6037))) )).
% 19.53/19.76 cnf(matrix-3595, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6037, skolem116(_u6041, _u6039, _u6037))) )).
% 19.53/19.76 cnf(matrix-3596, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), skolem119(_u6041, _u6039, _u6037))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6041)) )).
% 19.53/19.76 cnf(matrix-3597, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), skolem119(_u6041, _u6039, _u6037))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem117(_u6041, _u6039, _u6037))) )).
% 19.53/19.76 cnf(matrix-3598, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), skolem119(_u6041, _u6039, _u6037))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem117(_u6041, _u6039, _u6037)), _u6041)) )).
% 19.53/19.76 cnf(matrix-3599, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), skolem119(_u6041, _u6039, _u6037))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem116(_u6041, _u6039, _u6037))), skolem117(_u6041, _u6039, _u6037))) )).
% 19.53/19.76 cnf(matrix-3600, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), skolem119(_u6041, _u6039, _u6037))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6037, skolem116(_u6041, _u6039, _u6037))) )).
% 19.53/19.76 cnf(matrix-3601, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem119(_u6041, _u6039, _u6037)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6041)) )).
% 19.53/19.76 cnf(matrix-3602, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem119(_u6041, _u6039, _u6037)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem117(_u6041, _u6039, _u6037))) )).
% 19.53/19.76 cnf(matrix-3603, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem119(_u6041, _u6039, _u6037)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem117(_u6041, _u6039, _u6037)), _u6041)) )).
% 19.53/19.76 cnf(matrix-3604, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem119(_u6041, _u6039, _u6037)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem116(_u6041, _u6039, _u6037))), skolem117(_u6041, _u6039, _u6037))) )).
% 19.53/19.76 cnf(matrix-3605, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem119(_u6041, _u6039, _u6037)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6037, skolem116(_u6041, _u6039, _u6037))) )).
% 19.53/19.76 cnf(matrix-3606, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem118(_u6041, _u6039, _u6037))), skolem119(_u6041, _u6039, _u6037))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6041)) )).
% 19.53/19.76 cnf(matrix-3607, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem118(_u6041, _u6039, _u6037))), skolem119(_u6041, _u6039, _u6037))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem117(_u6041, _u6039, _u6037))) )).
% 19.53/19.76 cnf(matrix-3608, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem118(_u6041, _u6039, _u6037))), skolem119(_u6041, _u6039, _u6037))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem117(_u6041, _u6039, _u6037)), _u6041)) )).
% 19.53/19.76 cnf(matrix-3609, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem118(_u6041, _u6039, _u6037))), skolem119(_u6041, _u6039, _u6037))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem116(_u6041, _u6039, _u6037))), skolem117(_u6041, _u6039, _u6037))) )).
% 19.53/19.76 cnf(matrix-3610, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem118(_u6041, _u6039, _u6037))), skolem119(_u6041, _u6039, _u6037))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6037, skolem116(_u6041, _u6039, _u6037))) )).
% 19.53/19.76 cnf(matrix-3611, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ~hBOOL(hAPP(_u6037, skolem118(_u6041, _u6039, _u6037))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6041)) )).
% 19.53/19.76 cnf(matrix-3612, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ~hBOOL(hAPP(_u6037, skolem118(_u6041, _u6039, _u6037))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem117(_u6041, _u6039, _u6037))) )).
% 19.53/19.76 cnf(matrix-3613, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ~hBOOL(hAPP(_u6037, skolem118(_u6041, _u6039, _u6037))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem117(_u6041, _u6039, _u6037)), _u6041)) )).
% 19.53/19.76 cnf(matrix-3614, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ~hBOOL(hAPP(_u6037, skolem118(_u6041, _u6039, _u6037))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem116(_u6041, _u6039, _u6037))), skolem117(_u6041, _u6039, _u6037))) )).
% 19.53/19.76 cnf(matrix-3615, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ~hBOOL(hAPP(_u6037, skolem118(_u6041, _u6039, _u6037))) | ( _u6041 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6037, skolem116(_u6041, _u6039, _u6037))) )).
% 19.53/19.76 cnf(matrix-3616, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), skolem119(_u6041, _u6039, _u6037))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6041)) )).
% 19.53/19.76 cnf(matrix-3617, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), skolem119(_u6041, _u6039, _u6037))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem117(_u6041, _u6039, _u6037))) )).
% 19.53/19.76 cnf(matrix-3618, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), skolem119(_u6041, _u6039, _u6037))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem117(_u6041, _u6039, _u6037)), _u6041)) )).
% 19.53/19.76 cnf(matrix-3619, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), skolem119(_u6041, _u6039, _u6037))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem116(_u6041, _u6039, _u6037))), skolem117(_u6041, _u6039, _u6037))) )).
% 19.53/19.76 cnf(matrix-3620, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6041), skolem119(_u6041, _u6039, _u6037))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6037, skolem116(_u6041, _u6039, _u6037))) )).
% 19.53/19.76 cnf(matrix-3621, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem119(_u6041, _u6039, _u6037)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6041)) )).
% 19.53/19.76 cnf(matrix-3622, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem119(_u6041, _u6039, _u6037)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem117(_u6041, _u6039, _u6037))) )).
% 19.53/19.76 cnf(matrix-3623, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem119(_u6041, _u6039, _u6037)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem117(_u6041, _u6039, _u6037)), _u6041)) )).
% 19.53/19.76 cnf(matrix-3624, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem119(_u6041, _u6039, _u6037)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem116(_u6041, _u6039, _u6037))), skolem117(_u6041, _u6039, _u6037))) )).
% 19.53/19.76 cnf(matrix-3625, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem119(_u6041, _u6039, _u6037)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6037, skolem116(_u6041, _u6039, _u6037))) )).
% 19.53/19.76 cnf(matrix-3626, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem118(_u6041, _u6039, _u6037))), skolem119(_u6041, _u6039, _u6037))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6041)) )).
% 19.53/19.76 cnf(matrix-3627, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem118(_u6041, _u6039, _u6037))), skolem119(_u6041, _u6039, _u6037))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem117(_u6041, _u6039, _u6037))) )).
% 19.53/19.76 cnf(matrix-3628, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem118(_u6041, _u6039, _u6037))), skolem119(_u6041, _u6039, _u6037))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem117(_u6041, _u6039, _u6037)), _u6041)) )).
% 19.53/19.76 cnf(matrix-3629, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem118(_u6041, _u6039, _u6037))), skolem119(_u6041, _u6039, _u6037))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem116(_u6041, _u6039, _u6037))), skolem117(_u6041, _u6039, _u6037))) )).
% 19.53/19.76 cnf(matrix-3630, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem118(_u6041, _u6039, _u6037))), skolem119(_u6041, _u6039, _u6037))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6037, skolem116(_u6041, _u6039, _u6037))) )).
% 19.53/19.76 cnf(matrix-3631, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ~hBOOL(hAPP(_u6037, skolem118(_u6041, _u6039, _u6037))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6041)) )).
% 19.53/19.76 cnf(matrix-3632, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ~hBOOL(hAPP(_u6037, skolem118(_u6041, _u6039, _u6037))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem117(_u6041, _u6039, _u6037))) )).
% 19.53/19.76 cnf(matrix-3633, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ~hBOOL(hAPP(_u6037, skolem118(_u6041, _u6039, _u6037))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem117(_u6041, _u6039, _u6037)), _u6041)) )).
% 19.53/19.76 cnf(matrix-3634, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ~hBOOL(hAPP(_u6037, skolem118(_u6041, _u6039, _u6037))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6039 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6041), skolem116(_u6041, _u6039, _u6037))), skolem117(_u6041, _u6039, _u6037))) )).
% 19.53/19.76 cnf(matrix-3635, plain, ( hBOOL(hAPP(_u6037, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6039), _u6041))) | ~hBOOL(hAPP(_u6037, skolem118(_u6041, _u6039, _u6037))) | ~hBOOL(hAPP(_u6037, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6037, skolem116(_u6041, _u6039, _u6037))) )).
% 19.53/19.76 cnf(matrix-3636, plain, ( ( _u6042 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6043), _u6044)), _u6045)) | ( _u6043 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6042, _u6043) = _u6045) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6043)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6043), _u6045)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6045), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-3637, plain, ( ( _u6042 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6043), _u6044)), _u6045)) | ( _u6043 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6042, _u6043) = _u6045) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6045)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6045), _u6043)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6043)) )).
% 19.53/19.76 cnf(matrix-3638, plain, ( ( _u6042 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6043), _u6044)), _u6045)) | ( _u6043 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6042, _u6043) = _u6045) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6045)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6045), _u6043)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6043), _u6045)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6045), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-3639, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6046)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6047), _u6048)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6048), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6047), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6049, _u6046))), _u6048)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.76 cnf(matrix-3640, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6050)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6051), _u6052)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6052), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6051), _u6050)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6051), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6053, _u6050))), _u6052))) )).
% 19.53/19.76 cnf(matrix-3641, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6054)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6055)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6055), _u6056)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6056), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6057, _u6054))), _u6055)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6056), _u6054))) )).
% 19.53/19.76 cnf(matrix-3642, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6058)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6059)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6059), _u6060)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6060), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6061, _u6058))), _u6059))) )).
% 19.53/19.76 cnf(matrix-3643, plain, ( ~hBOOL(hAPP(_u6073, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6075, _u6077))) | ( _u6077 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u6073, _u6075)) )).
% 19.53/19.76 cnf(matrix-3644, plain, ( ~hBOOL(hAPP(_u6073, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6075, _u6077))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6077)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6062)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6062), _u6077)) | ( _u6075 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6077), _u6063)), _u6062)) | hBOOL(hAPP(_u6073, _u6062)) )).
% 19.53/19.76 cnf(matrix-3645, plain, ( ~hBOOL(hAPP(_u6073, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6075, _u6077))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6077), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6077), _u6064)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6064), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6075 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6077), _u6065)), _u6064)) | hBOOL(hAPP(_u6073, _u6064)) )).
% 19.53/19.76 cnf(matrix-3646, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6078)) )).
% 19.53/19.76 cnf(matrix-3647, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem121(_u6078, _u6076, _u6074))) )).
% 19.53/19.76 cnf(matrix-3648, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem121(_u6078, _u6076, _u6074)), _u6078)) )).
% 19.53/19.76 cnf(matrix-3649, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem120(_u6078, _u6076, _u6074))), skolem121(_u6078, _u6076, _u6074))) )).
% 19.53/19.76 cnf(matrix-3650, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6074, skolem121(_u6078, _u6076, _u6074))) )).
% 19.53/19.76 cnf(matrix-3651, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6074, _u6076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6078)) )).
% 19.53/19.76 cnf(matrix-3652, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6074, _u6076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem121(_u6078, _u6076, _u6074))) )).
% 19.53/19.76 cnf(matrix-3653, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6074, _u6076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem121(_u6078, _u6076, _u6074)), _u6078)) )).
% 19.53/19.76 cnf(matrix-3654, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6074, _u6076)) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem120(_u6078, _u6076, _u6074))), skolem121(_u6078, _u6076, _u6074))) )).
% 19.53/19.76 cnf(matrix-3655, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6074, _u6076)) | ~hBOOL(hAPP(_u6074, skolem121(_u6078, _u6076, _u6074))) )).
% 19.53/19.76 cnf(matrix-3656, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), skolem123(_u6078, _u6076, _u6074))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6078)) )).
% 19.53/19.76 cnf(matrix-3657, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), skolem123(_u6078, _u6076, _u6074))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem121(_u6078, _u6076, _u6074))) )).
% 19.53/19.76 cnf(matrix-3658, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), skolem123(_u6078, _u6076, _u6074))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem121(_u6078, _u6076, _u6074)), _u6078)) )).
% 19.53/19.76 cnf(matrix-3659, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), skolem123(_u6078, _u6076, _u6074))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem120(_u6078, _u6076, _u6074))), skolem121(_u6078, _u6076, _u6074))) )).
% 19.53/19.76 cnf(matrix-3660, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), skolem123(_u6078, _u6076, _u6074))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6074, skolem121(_u6078, _u6076, _u6074))) )).
% 19.53/19.76 cnf(matrix-3661, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem123(_u6078, _u6076, _u6074)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6078)) )).
% 19.53/19.76 cnf(matrix-3662, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem123(_u6078, _u6076, _u6074)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem121(_u6078, _u6076, _u6074))) )).
% 19.53/19.76 cnf(matrix-3663, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem123(_u6078, _u6076, _u6074)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem121(_u6078, _u6076, _u6074)), _u6078)) )).
% 19.53/19.76 cnf(matrix-3664, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem123(_u6078, _u6076, _u6074)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem120(_u6078, _u6076, _u6074))), skolem121(_u6078, _u6076, _u6074))) )).
% 19.53/19.76 cnf(matrix-3665, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem123(_u6078, _u6076, _u6074)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6074, skolem121(_u6078, _u6076, _u6074))) )).
% 19.53/19.76 cnf(matrix-3666, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem122(_u6078, _u6076, _u6074))), skolem123(_u6078, _u6076, _u6074))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6078)) )).
% 19.53/19.76 cnf(matrix-3667, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem122(_u6078, _u6076, _u6074))), skolem123(_u6078, _u6076, _u6074))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem121(_u6078, _u6076, _u6074))) )).
% 19.53/19.76 cnf(matrix-3668, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem122(_u6078, _u6076, _u6074))), skolem123(_u6078, _u6076, _u6074))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem121(_u6078, _u6076, _u6074)), _u6078)) )).
% 19.53/19.76 cnf(matrix-3669, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem122(_u6078, _u6076, _u6074))), skolem123(_u6078, _u6076, _u6074))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem120(_u6078, _u6076, _u6074))), skolem121(_u6078, _u6076, _u6074))) )).
% 19.53/19.76 cnf(matrix-3670, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem122(_u6078, _u6076, _u6074))), skolem123(_u6078, _u6076, _u6074))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6074, skolem121(_u6078, _u6076, _u6074))) )).
% 19.53/19.76 cnf(matrix-3671, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ~hBOOL(hAPP(_u6074, skolem123(_u6078, _u6076, _u6074))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6078)) )).
% 19.53/19.76 cnf(matrix-3672, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ~hBOOL(hAPP(_u6074, skolem123(_u6078, _u6076, _u6074))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem121(_u6078, _u6076, _u6074))) )).
% 19.53/19.76 cnf(matrix-3673, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ~hBOOL(hAPP(_u6074, skolem123(_u6078, _u6076, _u6074))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem121(_u6078, _u6076, _u6074)), _u6078)) )).
% 19.53/19.76 cnf(matrix-3674, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ~hBOOL(hAPP(_u6074, skolem123(_u6078, _u6076, _u6074))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem120(_u6078, _u6076, _u6074))), skolem121(_u6078, _u6076, _u6074))) )).
% 19.53/19.76 cnf(matrix-3675, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ~hBOOL(hAPP(_u6074, skolem123(_u6078, _u6076, _u6074))) | ( _u6078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u6074, skolem121(_u6078, _u6076, _u6074))) )).
% 19.53/19.76 cnf(matrix-3676, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), skolem123(_u6078, _u6076, _u6074))) | ~hBOOL(hAPP(_u6074, _u6076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6078)) )).
% 19.53/19.76 cnf(matrix-3677, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), skolem123(_u6078, _u6076, _u6074))) | ~hBOOL(hAPP(_u6074, _u6076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem121(_u6078, _u6076, _u6074))) )).
% 19.53/19.76 cnf(matrix-3678, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), skolem123(_u6078, _u6076, _u6074))) | ~hBOOL(hAPP(_u6074, _u6076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem121(_u6078, _u6076, _u6074)), _u6078)) )).
% 19.53/19.76 cnf(matrix-3679, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), skolem123(_u6078, _u6076, _u6074))) | ~hBOOL(hAPP(_u6074, _u6076)) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem120(_u6078, _u6076, _u6074))), skolem121(_u6078, _u6076, _u6074))) )).
% 19.53/19.76 cnf(matrix-3680, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6078), skolem123(_u6078, _u6076, _u6074))) | ~hBOOL(hAPP(_u6074, _u6076)) | ~hBOOL(hAPP(_u6074, skolem121(_u6078, _u6076, _u6074))) )).
% 19.53/19.76 cnf(matrix-3681, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem123(_u6078, _u6076, _u6074)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6074, _u6076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6078)) )).
% 19.53/19.76 cnf(matrix-3682, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem123(_u6078, _u6076, _u6074)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6074, _u6076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem121(_u6078, _u6076, _u6074))) )).
% 19.53/19.76 cnf(matrix-3683, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem123(_u6078, _u6076, _u6074)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6074, _u6076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem121(_u6078, _u6076, _u6074)), _u6078)) )).
% 19.53/19.76 cnf(matrix-3684, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem123(_u6078, _u6076, _u6074)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6074, _u6076)) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem120(_u6078, _u6076, _u6074))), skolem121(_u6078, _u6076, _u6074))) )).
% 19.53/19.76 cnf(matrix-3685, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem123(_u6078, _u6076, _u6074)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u6074, _u6076)) | ~hBOOL(hAPP(_u6074, skolem121(_u6078, _u6076, _u6074))) )).
% 19.53/19.76 cnf(matrix-3686, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem122(_u6078, _u6076, _u6074))), skolem123(_u6078, _u6076, _u6074))) | ~hBOOL(hAPP(_u6074, _u6076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6078)) )).
% 19.53/19.76 cnf(matrix-3687, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem122(_u6078, _u6076, _u6074))), skolem123(_u6078, _u6076, _u6074))) | ~hBOOL(hAPP(_u6074, _u6076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem121(_u6078, _u6076, _u6074))) )).
% 19.53/19.76 cnf(matrix-3688, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem122(_u6078, _u6076, _u6074))), skolem123(_u6078, _u6076, _u6074))) | ~hBOOL(hAPP(_u6074, _u6076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem121(_u6078, _u6076, _u6074)), _u6078)) )).
% 19.53/19.76 cnf(matrix-3689, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem122(_u6078, _u6076, _u6074))), skolem123(_u6078, _u6076, _u6074))) | ~hBOOL(hAPP(_u6074, _u6076)) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem120(_u6078, _u6076, _u6074))), skolem121(_u6078, _u6076, _u6074))) )).
% 19.53/19.76 cnf(matrix-3690, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem122(_u6078, _u6076, _u6074))), skolem123(_u6078, _u6076, _u6074))) | ~hBOOL(hAPP(_u6074, _u6076)) | ~hBOOL(hAPP(_u6074, skolem121(_u6078, _u6076, _u6074))) )).
% 19.53/19.76 cnf(matrix-3691, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ~hBOOL(hAPP(_u6074, skolem123(_u6078, _u6076, _u6074))) | ~hBOOL(hAPP(_u6074, _u6076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6078)) )).
% 19.53/19.76 cnf(matrix-3692, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ~hBOOL(hAPP(_u6074, skolem123(_u6078, _u6076, _u6074))) | ~hBOOL(hAPP(_u6074, _u6076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem121(_u6078, _u6076, _u6074))) )).
% 19.53/19.76 cnf(matrix-3693, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ~hBOOL(hAPP(_u6074, skolem123(_u6078, _u6076, _u6074))) | ~hBOOL(hAPP(_u6074, _u6076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem121(_u6078, _u6076, _u6074)), _u6078)) )).
% 19.53/19.76 cnf(matrix-3694, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ~hBOOL(hAPP(_u6074, skolem123(_u6078, _u6076, _u6074))) | ~hBOOL(hAPP(_u6074, _u6076)) | ( _u6076 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6078), skolem120(_u6078, _u6076, _u6074))), skolem121(_u6078, _u6076, _u6074))) )).
% 19.53/19.76 cnf(matrix-3695, plain, ( hBOOL(hAPP(_u6074, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6076, _u6078))) | ~hBOOL(hAPP(_u6074, skolem123(_u6078, _u6076, _u6074))) | ~hBOOL(hAPP(_u6074, _u6076)) | ~hBOOL(hAPP(_u6074, skolem121(_u6078, _u6076, _u6074))) )).
% 19.53/19.76 cnf(matrix-3696, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u6079)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u6080))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6079), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6080)))) )).
% 19.53/19.76 cnf(matrix-3697, plain, ( ~class_Int_Onumber__ring(_u6081) | ~c_Int_Oiszero(_u6081, hAPP(c_Int_Onumber__class_Onumber__of(_u6081), c_Int_OBit1(c_Int_OPls))) )).
% 19.53/19.76 cnf(matrix-3698, plain, ( ~class_Int_Onumber__ring(_u6082) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u6082), _u6083) != hAPP(c_Int_Onumber__class_Onumber__of(_u6082), _u6084)) | c_Int_Oiszero(_u6082, hAPP(c_Int_Onumber__class_Onumber__of(_u6082), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6083), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6084)))) )).
% 19.53/19.76 cnf(matrix-3699, plain, ( ~class_Int_Onumber__ring(_u6082) | ~c_Int_Oiszero(_u6082, hAPP(c_Int_Onumber__class_Onumber__of(_u6082), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6083), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6084)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u6082), _u6083) = hAPP(c_Int_Onumber__class_Onumber__of(_u6082), _u6084)) )).
% 19.53/19.76 cnf(matrix-3700, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6087))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u6089))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u6087))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6089)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6087))) )).
% 19.53/19.76 cnf(matrix-3701, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6088))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u6090))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u6088))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6090)), c_Groups_Oone__class_Oone(tc_Int_Oint))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6088))) )).
% 19.53/19.76 cnf(matrix-3702, plain, ( ~class_Int_Onumber__ring(_u6091) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u6091), _u6092) != c_Groups_Ozero__class_Ozero(_u6091)) | c_Int_Oiszero(_u6091, hAPP(c_Int_Onumber__class_Onumber__of(_u6091), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6092), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) )).
% 19.53/19.76 cnf(matrix-3703, plain, ( ~class_Int_Onumber__ring(_u6091) | ~c_Int_Oiszero(_u6091, hAPP(c_Int_Onumber__class_Onumber__of(_u6091), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6092), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u6091), _u6092) = c_Groups_Ozero__class_Ozero(_u6091)) )).
% 19.53/19.76 cnf(matrix-3704, plain, ( ~class_Int_Onumber__ring(_u6093) | ( c_Groups_Ozero__class_Ozero(_u6093) != hAPP(c_Int_Onumber__class_Onumber__of(_u6093), _u6094)) | c_Int_Oiszero(_u6093, hAPP(c_Int_Onumber__class_Onumber__of(_u6093), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6094)))) )).
% 19.53/19.76 cnf(matrix-3705, plain, ( ~class_Int_Onumber__ring(_u6093) | ~c_Int_Oiszero(_u6093, hAPP(c_Int_Onumber__class_Onumber__of(_u6093), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6094)))) | ( c_Groups_Ozero__class_Ozero(_u6093) = hAPP(c_Int_Onumber__class_Onumber__of(_u6093), _u6094)) )).
% 19.53/19.76 cnf(matrix-3706, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6095)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6096))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6095)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6096), _u6095)) )).
% 19.53/19.76 cnf(matrix-3707, plain, ( ( _u6099 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u6099, _u6101) = _u6101) )).
% 19.53/19.76 cnf(matrix-3708, plain, ( ( _u6100 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u6100, _u6102) = c_Code__Numeral_Onat__of__aux(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u6100), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), hAPP(c_Nat_OSuc, _u6102))) )).
% 19.53/19.76 cnf(matrix-3709, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6105)) | ( c_SMT_Oz3div(_u6107, _u6105) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6107), _u6105)) )).
% 19.53/19.76 cnf(matrix-3710, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6106)) | ( c_SMT_Oz3div(_u6108, _u6106) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6108), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6106)))) )).
% 19.53/19.76 cnf(matrix-3711, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6111)) | ( c_SMT_Oz3mod(_u6113, _u6111) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6113, _u6111)) )).
% 19.53/19.76 cnf(matrix-3712, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6112)) | ( c_SMT_Oz3mod(_u6114, _u6112) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6114, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6112))) )).
% 19.53/19.76 cnf(matrix-3713, plain, ( ~class_Rings_Osemiring__1(_u6115) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6116)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6115), hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6116))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6115), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6115), hAPP(c_Int_Onat, _u6116))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6115), hAPP(c_Int_Onat, _u6116)))) )).
% 19.53/19.76 cnf(matrix-3714, plain, ( ~class_Rings_Oring__1(_u6117) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6117), hAPP(c_Groups_Ouminus__class_Ouminus(_u6117), c_Groups_Oone__class_Oone(_u6117))), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6118))) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6117), c_Groups_Oone__class_Oone(_u6117))) )).
% 19.53/19.76 cnf(matrix-3715, plain, ( ~class_Rings_Olinordered__idom(_u6119) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6119), _u6120), c_Groups_Ozero__class_Ozero(_u6119))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6119), hAPP(hAPP(c_Power_Opower__class_Opower(_u6119), _u6120), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6121)))), c_Groups_Ozero__class_Ozero(_u6119))) )).
% 19.53/19.76 cnf(matrix-3716, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6122, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6122, tc_HOL_Obool)), _u6123)) = _u6123) )).
% 19.53/19.76 cnf(matrix-3717, plain, ( ( _u6129 = _u6131) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6127, tc_HOL_Obool)), _u6129) != hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6127, tc_HOL_Obool)), _u6131)) )).
% 19.53/19.76 cnf(matrix-3718, plain, ( ( _u6130 != _u6132) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6128, tc_HOL_Obool)), _u6130) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u6128, tc_HOL_Obool)), _u6132)) )).
% 19.53/19.76 cnf(matrix-3719, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6133)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u6133)), _u6134) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6133), _u6134))) )).
% 19.53/19.76 cnf(matrix-3720, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6135), _u6136)), _u6137) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6135), _u6137)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6136), _u6137))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6135, _u6137)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6136, _u6137))), _u6137))) )).
% 19.53/19.76 cnf(matrix-3721, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6138)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6138), _u6139)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u6138)), _u6139)) )).
% 19.53/19.76 cnf(matrix-3722, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6140), _u6141)), _u6142) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6140), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6141), _u6142))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6140), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6141, _u6142))), _u6142))) )).
% 19.53/19.76 cnf(matrix-3723, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6143, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6144), _u6145)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6144), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6143), _u6144), _u6145))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6143, _u6144))) )).
% 19.53/19.76 cnf(matrix-3724, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6146, _u6147) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6146), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6146), _u6147)), _u6147))) )).
% 19.53/19.76 cnf(matrix-3725, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6148), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6149), _u6148)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6149), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6149, _u6148))) )).
% 19.53/19.76 cnf(matrix-3726, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6150), _u6151)), _u6151) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6150), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6150, _u6151))) )).
% 19.53/19.76 cnf(matrix-3727, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6152), _u6153)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6152)), _u6153)) )).
% 19.53/19.76 cnf(matrix-3728, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6154)), _u6155) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6154), _u6155))) )).
% 19.53/19.76 cnf(matrix-3729, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6156)), _u6157) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6156), _u6157))) )).
% 19.53/19.76 cnf(matrix-3730, plain, ( ~class_Rings_Ocomm__semiring__1(_u6158) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6158), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6158), _u6159), _u6160)), _u6161) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6158), hAPP(hAPP(c_Power_Opower__class_Opower(_u6158), _u6159), _u6161)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6158), _u6160), _u6161))) )).
% 19.53/19.76 cnf(matrix-3731, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6162), _u6163)), _u6162)) )).
% 19.53/19.76 cnf(matrix-3732, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6164), _u6165)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6164), _u6166)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6165), _u6166))) )).
% 19.53/19.76 cnf(matrix-3733, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u6167), _u6168) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6167, _u6168)), _u6168)) )).
% 19.53/19.76 cnf(matrix-3734, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6169), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6170), _u6171)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6169), _u6170)), _u6171)) )).
% 19.53/19.76 cnf(matrix-3735, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6172), _u6173)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6172, _u6173) = _u6172) )).
% 19.53/19.76 cnf(matrix-3736, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6174, _u6175)), _u6174)) )).
% 19.53/19.76 cnf(matrix-3737, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6176), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6177, _u6178)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6176), _u6177), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6176), _u6178))) )).
% 19.53/19.76 cnf(matrix-3738, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6179, _u6180)), _u6181) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6179), _u6181), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6180), _u6181))) )).
% 19.53/19.76 cnf(matrix-3739, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6182)) = _u6182) )).
% 19.53/19.76 cnf(matrix-3740, plain, ( ~class_Rings_Ocomm__semiring__1(_u6183) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6183), hAPP(hAPP(c_Power_Opower__class_Opower(_u6183), _u6184), _u6185)), _u6186) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6183), _u6184), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6185), _u6186))) )).
% 19.53/19.76 cnf(matrix-3741, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6187), _u6188)), _u6189) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6187), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6188), _u6189))) )).
% 19.53/19.76 cnf(matrix-3742, plain, ( ~class_Rings_Ocomm__semiring__1(_u6190) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6190), _u6191), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u6191) )).
% 19.53/19.76 cnf(matrix-3743, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6192, _u6193)), _u6194), _u6193) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6192), _u6194), _u6193)) )).
% 19.53/19.76 cnf(matrix-3744, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6197))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6197)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6199)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6199))) )).
% 19.53/19.76 cnf(matrix-3745, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6198))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6198)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6200)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6198)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6200)))) )).
% 19.53/19.76 cnf(matrix-3746, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6203))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6203)), _u6205) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6205)) )).
% 19.53/19.76 cnf(matrix-3747, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6204))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6204)), _u6206) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6204)), _u6206))) )).
% 19.53/19.76 cnf(matrix-3748, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6207)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6208)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u6207)), hAPP(c_Int_Onat, _u6208)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6207), _u6208))) )).
% 19.53/19.76 cnf(matrix-3749, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6209)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6209), _u6210)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u6209)), hAPP(c_Int_Onat, _u6210))) )).
% 19.53/19.76 cnf(matrix-3750, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6211)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6212)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u6211), hAPP(c_Int_Onat, _u6212)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6211, _u6212))) )).
% 19.53/19.76 cnf(matrix-3751, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6213)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6214)) | ( hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6213, _u6214)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u6213), hAPP(c_Int_Onat, _u6214))) )).
% 19.53/19.76 cnf(matrix-3752, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6215), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = _u6215) )).
% 19.53/19.76 cnf(matrix-3753, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6216), _u6217)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6216), _u6217) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.76 cnf(matrix-3754, plain, ( ( _u6221 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6221), _u6223)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6221), _u6225)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.76 cnf(matrix-3755, plain, ( ( _u6222 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6222), _u6224)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6222), _u6226)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6224), _u6226)) )).
% 19.53/19.76 cnf(matrix-3756, plain, ( ~class_Rings_Ocomm__semiring__1(_u6227) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6227), _u6228), hAPP(c_Nat_OSuc, _u6229)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6227), _u6228), hAPP(hAPP(c_Power_Opower__class_Opower(_u6227), _u6228), _u6229))) )).
% 19.53/19.77 cnf(matrix-3757, plain, ( ~class_Rings_Ocomm__semiring__1(_u6230) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6230), _u6231), hAPP(hAPP(c_Power_Opower__class_Opower(_u6230), _u6231), _u6232)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6230), _u6231), hAPP(c_Nat_OSuc, _u6232))) )).
% 19.53/19.77 cnf(matrix-3758, plain, ( ~class_Rings_Ocomm__semiring__1(_u6233) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6233), hAPP(hAPP(c_Power_Opower__class_Opower(_u6233), _u6234), _u6235)), _u6234) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6233), _u6234), hAPP(c_Nat_OSuc, _u6235))) )).
% 19.53/19.77 cnf(matrix-3759, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.77 cnf(matrix-3760, plain, ( ( hAPP(c_Int_Onat, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-3761, plain, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6238, _u6240)) != _u6240) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u6238), _u6240) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-3762, plain, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6239, _u6241)) = _u6241) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u6239), _u6241) = hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6239, _u6241))) )).
% 19.53/19.77 cnf(matrix-3763, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6242, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-3764, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6243)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6244, _u6243)), _u6243)) )).
% 19.53/19.77 cnf(matrix-3765, plain, ( ~class_Rings_Ocomm__semiring__1(_u6245) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6245), _u6246), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u6245)) )).
% 19.53/19.77 cnf(matrix-3766, plain, ( ~class_Rings_Ocomm__semiring__1(_u6247) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6247), hAPP(hAPP(c_Power_Opower__class_Opower(_u6247), _u6248), _u6249)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6247), _u6248), _u6250)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6247), _u6248), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6249), _u6250))) )).
% 19.53/19.77 cnf(matrix-3767, plain, ( ~hBOOL(hAPP(_u6256, _u6251)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem124(_u6256))) )).
% 19.53/19.77 cnf(matrix-3768, plain, ( ~hBOOL(hAPP(_u6256, _u6251)) | hBOOL(hAPP(_u6256, hAPP(c_Int_Onat, skolem124(_u6256)))) )).
% 19.53/19.77 cnf(matrix-3769, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6253)) | ~hBOOL(hAPP(_u6257, hAPP(c_Int_Onat, _u6253))) | hBOOL(hAPP(_u6257, skolem125(_u6257))) )).
% 19.53/19.77 cnf(matrix-3770, plain, ( ~hBOOL(hAPP(_u6263, skolem126(_u6263))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6259)) | hBOOL(hAPP(_u6263, hAPP(c_Int_Onat, _u6259))) )).
% 19.53/19.77 cnf(matrix-3771, plain, ( hBOOL(hAPP(_u6264, _u6261)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem127(_u6264))) )).
% 19.53/19.77 cnf(matrix-3772, plain, ( hBOOL(hAPP(_u6264, _u6261)) | ~hBOOL(hAPP(_u6264, hAPP(c_Int_Onat, skolem127(_u6264)))) )).
% 19.53/19.77 cnf(matrix-3773, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6265)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6266)) | ( hAPP(c_Int_Onat, _u6265) != hAPP(c_Int_Onat, _u6266)) | ( _u6265 = _u6266) )).
% 19.53/19.77 cnf(matrix-3774, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6265)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6266)) | ( _u6265 != _u6266) | ( hAPP(c_Int_Onat, _u6265) = hAPP(c_Int_Onat, _u6266)) )).
% 19.53/19.77 cnf(matrix-3775, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6267)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6268)) | ( hAPP(c_Int_Onat, _u6267) != hAPP(c_Int_Onat, _u6268)) | ( _u6267 = _u6268) )).
% 19.53/19.77 cnf(matrix-3776, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6267)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6268)) | ( _u6267 != _u6268) | ( hAPP(c_Int_Onat, _u6267) = hAPP(c_Int_Onat, _u6268)) )).
% 19.53/19.77 cnf(matrix-3777, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6273, _u6275) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6273 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6275), skolem128(_u6275, _u6273))) )).
% 19.53/19.77 cnf(matrix-3778, plain, ( ( _u6274 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6276), _u6270)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6274, _u6276) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-3779, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6277)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6277), _u6278))) )).
% 19.53/19.77 cnf(matrix-3780, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6279), _u6280)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6279, _u6280) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6279), _u6280), _u6280)) )).
% 19.53/19.77 cnf(matrix-3781, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6283), _u6285)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6283, _u6285) = _u6283) )).
% 19.53/19.77 cnf(matrix-3782, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6284), _u6286)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6284, _u6286) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6284), _u6286), _u6286)) )).
% 19.53/19.77 cnf(matrix-3783, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6287), _u6288)), _u6289), _u6288) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6289, _u6288)) )).
% 19.53/19.77 cnf(matrix-3784, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6290), _u6291)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6291, _u6290) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6291), _u6290), _u6290)) )).
% 19.53/19.77 cnf(matrix-3785, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6292), _u6293)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6292)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6293))) )).
% 19.53/19.77 cnf(matrix-3786, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6294)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6295)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6294), _u6295))) )).
% 19.53/19.77 cnf(matrix-3787, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6296)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6296)) )).
% 19.53/19.77 cnf(matrix-3788, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6297) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6297))) )).
% 19.53/19.77 cnf(matrix-3789, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6298), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6299), _u6300)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6298), _u6299)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6298), _u6300))) )).
% 19.53/19.77 cnf(matrix-3790, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 19.53/19.77 cnf(matrix-3791, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6301, _u6302)) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6301), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6302))) )).
% 19.53/19.77 cnf(matrix-3792, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6303), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6304)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6303, _u6304))) )).
% 19.53/19.77 cnf(matrix-3793, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u6305)) | ( hAPP(c_Int_Onat, _u6305) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-3794, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u6306)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u6306)) = _u6306) )).
% 19.53/19.77 cnf(matrix-3795, plain, ( ~class_Rings_Oring__1(_u6307) | ~hBOOL(hAPP(hAPP(c_member(_u6307), _u6308), c_Int_Oring__1__class_OInts(_u6307))) | hBOOL(hAPP(hAPP(c_member(_u6307), hAPP(hAPP(c_Power_Opower__class_Opower(_u6307), _u6308), _u6309)), c_Int_Oring__1__class_OInts(_u6307))) )).
% 19.53/19.77 cnf(matrix-3796, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6312))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6312)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6314)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-3797, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6313))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6313)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6315)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6313)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6315)))) )).
% 19.53/19.77 cnf(matrix-3798, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6318))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6318), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6320)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-3799, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6319))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6321))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6319), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6321)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6319)) )).
% 19.53/19.77 cnf(matrix-3800, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6319))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6321))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6319), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6321)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6319), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6321)))) )).
% 19.53/19.77 cnf(matrix-3801, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6322)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6322)))) )).
% 19.53/19.77 cnf(matrix-3802, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6323)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6323), _u6324)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6325), _u6324)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6325), _u6323))) )).
% 19.53/19.77 cnf(matrix-3803, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6326)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6326), _u6327)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6326), _u6328)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6327), _u6328)) )).
% 19.53/19.77 cnf(matrix-3804, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6329)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6330), _u6329)), _u6329) = _u6330) )).
% 19.53/19.77 cnf(matrix-3805, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6331)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6331), _u6332)), _u6331) = _u6332) )).
% 19.53/19.77 cnf(matrix-3806, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u6333)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6334)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6334), _u6333)), _u6334)) )).
% 19.53/19.77 cnf(matrix-3807, plain, ( ( hAPP(c_Int_Onat, _u6336) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6336), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.77 cnf(matrix-3808, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6337), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u6337) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-3809, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6338), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u6338) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-3810, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6339)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6340)), hAPP(c_Int_Onat, _u6339))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6340), _u6339)) )).
% 19.53/19.77 cnf(matrix-3811, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6339)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6340), _u6339)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6340)), hAPP(c_Int_Onat, _u6339))) )).
% 19.53/19.77 cnf(matrix-3812, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6343)), hAPP(c_Int_Onat, _u6345))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6345)) )).
% 19.53/19.77 cnf(matrix-3813, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6343)), hAPP(c_Int_Onat, _u6345))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6343), _u6345)) )).
% 19.53/19.77 cnf(matrix-3814, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6346)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6344), _u6346)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6344)), hAPP(c_Int_Onat, _u6346))) )).
% 19.53/19.77 cnf(matrix-3815, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6347)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6348, _u6347)), _u6347)) )).
% 19.53/19.77 cnf(matrix-3816, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6349)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6350)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u6349)), hAPP(c_Int_Onat, _u6350))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6349), _u6350)) )).
% 19.53/19.77 cnf(matrix-3817, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6349)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6350)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6349), _u6350)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u6349)), hAPP(c_Int_Onat, _u6350))) )).
% 19.53/19.77 cnf(matrix-3818, plain, ( ( hAPP(c_Int_Onat, c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.53/19.77 cnf(matrix-3819, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6351), _u6352)), _u6353)), _u6352) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u6353), _u6352)) )).
% 19.53/19.77 cnf(matrix-3820, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6355)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u6355)) = _u6355) )).
% 19.53/19.77 cnf(matrix-3821, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6356)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u6356)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.53/19.77 cnf(matrix-3822, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6359) != _u6361) | ( _u6359 = hAPP(c_Int_Onat, _u6361)) )).
% 19.53/19.77 cnf(matrix-3823, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6359) != _u6361) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6361)) )).
% 19.53/19.77 cnf(matrix-3824, plain, ( ( _u6360 != hAPP(c_Int_Onat, _u6362)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6362)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6360) = _u6362) )).
% 19.53/19.77 cnf(matrix-3825, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6363)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u6363)) = _u6363) )).
% 19.53/19.77 cnf(matrix-3826, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6366), hAPP(c_Int_Onat, _u6368))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6366)), _u6368)) )).
% 19.53/19.77 cnf(matrix-3827, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6367)), _u6369)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6367), hAPP(c_Int_Onat, _u6369))) )).
% 19.53/19.77 cnf(matrix-3828, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6370))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-3829, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6371)), _u6372))) )).
% 19.53/19.77 cnf(matrix-3830, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6373), _u6374))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6373))), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6374)))) )).
% 19.53/19.77 cnf(matrix-3831, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6376))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6376)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.53/19.77 cnf(matrix-3832, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6377))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6377)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6377)))) )).
% 19.53/19.77 cnf(matrix-3833, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6378)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6379), _u6378)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6379), _u6378) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-3834, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6378)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6379), _u6378)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6379), _u6378) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6379), _u6378)), _u6378))) )).
% 19.53/19.77 cnf(matrix-3835, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6380)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6381), _u6380)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6381), _u6380) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6381), _u6380)), _u6380))) )).
% 19.53/19.77 cnf(matrix-3836, plain, ( ~hBOOL(hAPP(_u6389, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6391), _u6393))) | ( _u6393 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u6389, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.53/19.77 cnf(matrix-3837, plain, ( ~hBOOL(hAPP(_u6389, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6391), _u6393))) | ( _u6393 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6382), _u6393)) | ( _u6391 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6393), _u6383)), _u6382)) | hBOOL(hAPP(_u6389, _u6383)) )).
% 19.53/19.77 cnf(matrix-3838, plain, ( hBOOL(hAPP(_u6390, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6392), _u6394))) | ( _u6394 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem130(_u6394, _u6392, _u6390)), _u6394)) )).
% 19.53/19.77 cnf(matrix-3839, plain, ( hBOOL(hAPP(_u6390, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6392), _u6394))) | ( _u6394 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6392 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6394), skolem129(_u6394, _u6392, _u6390))), skolem130(_u6394, _u6392, _u6390))) )).
% 19.53/19.77 cnf(matrix-3840, plain, ( hBOOL(hAPP(_u6390, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6392), _u6394))) | ( _u6394 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u6390, skolem129(_u6394, _u6392, _u6390))) )).
% 19.53/19.77 cnf(matrix-3841, plain, ( hBOOL(hAPP(_u6390, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6392), _u6394))) | ~hBOOL(hAPP(_u6390, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6394 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-3842, plain, ( hBOOL(hAPP(_u6390, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6392), _u6394))) | ~hBOOL(hAPP(_u6390, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem130(_u6394, _u6392, _u6390)), _u6394)) )).
% 19.53/19.77 cnf(matrix-3843, plain, ( hBOOL(hAPP(_u6390, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6392), _u6394))) | ~hBOOL(hAPP(_u6390, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6392 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6394), skolem129(_u6394, _u6392, _u6390))), skolem130(_u6394, _u6392, _u6390))) )).
% 19.53/19.77 cnf(matrix-3844, plain, ( hBOOL(hAPP(_u6390, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6392), _u6394))) | ~hBOOL(hAPP(_u6390, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u6390, skolem129(_u6394, _u6392, _u6390))) )).
% 19.53/19.77 cnf(matrix-3845, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u6396))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6396)) )).
% 19.53/19.77 cnf(matrix-3846, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6397)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u6397))) )).
% 19.53/19.77 cnf(matrix-3847, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6398)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6399)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6398)), hAPP(c_Int_Onat, _u6399))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6398), _u6399)) )).
% 19.53/19.77 cnf(matrix-3848, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6398)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6399)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6398), _u6399)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6398)), hAPP(c_Int_Onat, _u6399))) )).
% 19.53/19.77 cnf(matrix-3849, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6400)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6400)), hAPP(c_Int_Onat, _u6401))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6400), _u6401)) )).
% 19.53/19.77 cnf(matrix-3850, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6400)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6400), _u6401)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6400)), hAPP(c_Int_Onat, _u6401))) )).
% 19.53/19.77 cnf(matrix-3851, plain, ( ( hAPP(c_Int_Onat, _u6404) != _u6406) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6404)) | ( _u6404 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6406)) )).
% 19.53/19.77 cnf(matrix-3852, plain, ( ( hAPP(c_Int_Onat, _u6404) != _u6406) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6404)) | ( _u6406 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-3853, plain, ( ( hAPP(c_Int_Onat, _u6405) = _u6407) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6405)) | ( _u6407 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-3854, plain, ( ( hAPP(c_Int_Onat, _u6405) = _u6407) | ( _u6405 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6407)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6405)) )).
% 19.53/19.77 cnf(matrix-3855, plain, ( ( hAPP(c_Int_Onat, _u6405) = _u6407) | ( _u6405 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6407)) | ( _u6407 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-3856, plain, ( ( _u6410 != hAPP(c_Int_Onat, _u6412)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6412)) | ( _u6412 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6410)) )).
% 19.53/19.77 cnf(matrix-3857, plain, ( ( _u6410 != hAPP(c_Int_Onat, _u6412)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6412)) | ( _u6410 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-3858, plain, ( ( _u6411 = hAPP(c_Int_Onat, _u6413)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6413)) | ( _u6411 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-3859, plain, ( ( _u6411 = hAPP(c_Int_Onat, _u6413)) | ( _u6413 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6411)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6413)) )).
% 19.53/19.77 cnf(matrix-3860, plain, ( ( _u6411 = hAPP(c_Int_Onat, _u6413)) | ( _u6413 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6411)) | ( _u6411 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-3861, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6414)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u6414)), hAPP(c_Int_Onat, _u6415))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6414), _u6415)) )).
% 19.53/19.77 cnf(matrix-3862, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6414)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6414), _u6415)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u6414)), hAPP(c_Int_Onat, _u6415))) )).
% 19.53/19.77 cnf(matrix-3863, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6415)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u6414)), hAPP(c_Int_Onat, _u6415))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6414), _u6415)) )).
% 19.53/19.77 cnf(matrix-3864, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6415)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6414), _u6415)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u6414)), hAPP(c_Int_Onat, _u6415))) )).
% 19.53/19.77 cnf(matrix-3865, plain, ( ~hBOOL(hAPP(_u6420, hAPP(c_Int_Onat, _u6422))) | ( _u6422 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6416)) | hBOOL(hAPP(_u6420, _u6416)) )).
% 19.53/19.77 cnf(matrix-3866, plain, ( ~hBOOL(hAPP(_u6420, hAPP(c_Int_Onat, _u6422))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6422), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(_u6420, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.53/19.77 cnf(matrix-3867, plain, ( hBOOL(hAPP(_u6421, hAPP(c_Int_Onat, _u6423))) | ( _u6423 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem131(_u6423, _u6421))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6423), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.77 cnf(matrix-3868, plain, ( hBOOL(hAPP(_u6421, hAPP(c_Int_Onat, _u6423))) | ( _u6423 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem131(_u6423, _u6421))) | ~hBOOL(hAPP(_u6421, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.53/19.77 cnf(matrix-3869, plain, ( hBOOL(hAPP(_u6421, hAPP(c_Int_Onat, _u6423))) | ~hBOOL(hAPP(_u6421, skolem131(_u6423, _u6421))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6423), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.77 cnf(matrix-3870, plain, ( hBOOL(hAPP(_u6421, hAPP(c_Int_Onat, _u6423))) | ~hBOOL(hAPP(_u6421, skolem131(_u6423, _u6421))) | ~hBOOL(hAPP(_u6421, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.53/19.77 cnf(matrix-3871, plain, ( ~hBOOL(hAPP(_u6431, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6433, _u6435))) | ( _u6435 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u6431, _u6433)) )).
% 19.53/19.77 cnf(matrix-3872, plain, ( ~hBOOL(hAPP(_u6431, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6433, _u6435))) | ( _u6435 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6424), _u6435)) | ( _u6433 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6435), _u6425)), _u6424)) | hBOOL(hAPP(_u6431, _u6424)) )).
% 19.53/19.77 cnf(matrix-3873, plain, ( hBOOL(hAPP(_u6432, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6434, _u6436))) | ( _u6436 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem133(_u6436, _u6434, _u6432)), _u6436)) )).
% 19.53/19.77 cnf(matrix-3874, plain, ( hBOOL(hAPP(_u6432, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6434, _u6436))) | ( _u6436 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6434 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6436), skolem132(_u6436, _u6434, _u6432))), skolem133(_u6436, _u6434, _u6432))) )).
% 19.53/19.77 cnf(matrix-3875, plain, ( hBOOL(hAPP(_u6432, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6434, _u6436))) | ( _u6436 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u6432, skolem133(_u6436, _u6434, _u6432))) )).
% 19.53/19.77 cnf(matrix-3876, plain, ( hBOOL(hAPP(_u6432, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6434, _u6436))) | ~hBOOL(hAPP(_u6432, _u6434)) | ( _u6436 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-3877, plain, ( hBOOL(hAPP(_u6432, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6434, _u6436))) | ~hBOOL(hAPP(_u6432, _u6434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem133(_u6436, _u6434, _u6432)), _u6436)) )).
% 19.53/19.77 cnf(matrix-3878, plain, ( hBOOL(hAPP(_u6432, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6434, _u6436))) | ~hBOOL(hAPP(_u6432, _u6434)) | ( _u6434 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6436), skolem132(_u6436, _u6434, _u6432))), skolem133(_u6436, _u6434, _u6432))) )).
% 19.53/19.77 cnf(matrix-3879, plain, ( hBOOL(hAPP(_u6432, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6434, _u6436))) | ~hBOOL(hAPP(_u6432, _u6434)) | ~hBOOL(hAPP(_u6432, skolem133(_u6436, _u6434, _u6432))) )).
% 19.53/19.77 cnf(matrix-3880, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6438), _u6439)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6439), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6440, _u6437))), _u6438)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6439), _u6437))) )).
% 19.53/19.77 cnf(matrix-3881, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6441)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6442)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u6441)), hAPP(c_Int_Onat, _u6442)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6441), _u6442))) )).
% 19.53/19.77 cnf(matrix-3882, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6443)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6444)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6443), _u6444)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u6443)), hAPP(c_Int_Onat, _u6444))) )).
% 19.53/19.77 cnf(matrix-3883, plain, ( ~class_Groups_Omonoid__mult(_u6445) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6445), _u6446), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6445), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6445), _u6446), _u6446)), _u6446)) )).
% 19.53/19.77 cnf(matrix-3884, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6449) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6451)) | ( _u6449 = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6451))) )).
% 19.53/19.77 cnf(matrix-3885, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6449) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6451)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6451))) )).
% 19.53/19.77 cnf(matrix-3886, plain, ( ( _u6450 != hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6452))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6452))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6450) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6452)) )).
% 19.53/19.77 cnf(matrix-3887, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6453)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6454)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u6453)), hAPP(c_Int_Onat, _u6454)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6453), _u6454))) )).
% 19.53/19.77 cnf(matrix-3888, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6455)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6455), _u6456)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u6455)), hAPP(c_Int_Onat, _u6456))) )).
% 19.53/19.77 cnf(matrix-3889, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6457)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6457), _u6458)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6458), _u6457)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u6458)), hAPP(c_Int_Onat, _u6457))) )).
% 19.53/19.77 cnf(matrix-3890, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u6459)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6459), _u6460)), _u6459) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-3891, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) )).
% 19.53/19.77 cnf(matrix-3892, plain, ( ( _u6463 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6465), _u6463) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-3893, plain, ( ( _u6464 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6466), _u6464) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6466), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6466), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6464), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 19.53/19.77 cnf(matrix-3894, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6469)), _u6471))) | ( _u6469 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u6471 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-3895, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6470)), _u6472))) | ( _u6470 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.53/19.77 cnf(matrix-3896, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6470)), _u6472))) | ( _u6472 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-3897, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6473)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6474)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u6473)), hAPP(c_Int_Onat, _u6474)) = hAPP(c_Int_Onat, c_Nat__Transfer_Otsub(_u6473, _u6474))) )).
% 19.53/19.77 cnf(matrix-3898, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6475)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6475), _u6476)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6476), _u6475) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6476), _u6475)), _u6475))) )).
% 19.53/19.77 cnf(matrix-3899, plain, ( ~hBOOL(hAPP(_u6482, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6484), _u6486))) | ( _u6486 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6486), skolem134(_u6486, _u6484, _u6482))), _u6484)) )).
% 19.53/19.77 cnf(matrix-3900, plain, ( ~hBOOL(hAPP(_u6482, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6484), _u6486))) | ( _u6486 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6484), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6486), hAPP(c_Nat_OSuc, skolem134(_u6486, _u6484, _u6482))))) )).
% 19.53/19.77 cnf(matrix-3901, plain, ( ~hBOOL(hAPP(_u6482, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6484), _u6486))) | ( _u6486 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u6482, skolem134(_u6486, _u6484, _u6482))) )).
% 19.53/19.77 cnf(matrix-3902, plain, ( ~hBOOL(hAPP(_u6482, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6484), _u6486))) | hBOOL(hAPP(_u6482, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6486), skolem134(_u6486, _u6484, _u6482))), _u6484)) )).
% 19.53/19.77 cnf(matrix-3903, plain, ( ~hBOOL(hAPP(_u6482, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6484), _u6486))) | hBOOL(hAPP(_u6482, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6484), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6486), hAPP(c_Nat_OSuc, skolem134(_u6486, _u6484, _u6482))))) )).
% 19.53/19.77 cnf(matrix-3904, plain, ( ~hBOOL(hAPP(_u6482, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6484), _u6486))) | hBOOL(hAPP(_u6482, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u6482, skolem134(_u6486, _u6484, _u6482))) )).
% 19.53/19.77 cnf(matrix-3905, plain, ( hBOOL(hAPP(_u6483, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6485), _u6487))) | ( _u6487 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u6483, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.53/19.77 cnf(matrix-3906, plain, ( hBOOL(hAPP(_u6483, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6485), _u6487))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6487), _u6478)), _u6485)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6485), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6487), hAPP(c_Nat_OSuc, _u6478)))) | ~hBOOL(hAPP(_u6483, _u6478)) )).
% 19.53/19.77 cnf(matrix-3907, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6488)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6488), _u6489)), _u6490)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6490), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6488), hAPP(c_Nat_OSuc, _u6489)))) | ( _u6489 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6490), _u6488)) )).
% 19.53/19.77 cnf(matrix-3908, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6488)) | ( _u6489 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6490), _u6488)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6488), _u6489)), _u6490)) )).
% 19.53/19.77 cnf(matrix-3909, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6488)) | ( _u6489 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6490), _u6488)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6490), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6488), hAPP(c_Nat_OSuc, _u6489)))) )).
% 19.53/19.77 cnf(matrix-3910, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6491), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u6492)))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6491), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))), _u6492))) )).
% 19.53/19.77 cnf(matrix-3911, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u6493)))), _u6494) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))), _u6493)), _u6494)) )).
% 19.53/19.77 cnf(matrix-3912, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u6495)))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6496)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))), _u6495)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6496))) )).
% 19.53/19.77 cnf(matrix-3913, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u6497))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6497), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 19.53/19.77 cnf(matrix-3914, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6498), _u6498)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _u6498) )).
% 19.53/19.77 cnf(matrix-3915, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), hAPP(c_Int_Onat, _u6500))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u6500)) )).
% 19.53/19.77 cnf(matrix-3916, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u6501)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), hAPP(c_Int_Onat, _u6501))) )).
% 19.53/19.77 cnf(matrix-3917, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6502)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6502)), _u6503)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6502), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6503))) )).
% 19.53/19.77 cnf(matrix-3918, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6502)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6502), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6503))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u6502)), _u6503)) )).
% 19.53/19.77 cnf(matrix-3919, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6504)) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onat, _u6504)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u6504))) )).
% 19.53/19.77 cnf(matrix-3920, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6505, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u6506)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6505, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))), _u6506))) )).
% 19.53/19.77 cnf(matrix-3921, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u6507))), _u6508) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))), _u6507), _u6508)) )).
% 19.53/19.77 cnf(matrix-3922, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u6509))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6510)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))), _u6509), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u6510))) )).
% 19.53/19.77 cnf(matrix-3923, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u6511) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6511), _u6512), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(_u6511)) | ( _u6512 = c_Groups_Ozero__class_Ozero(_u6511)) )).
% 19.53/19.77 cnf(matrix-3924, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u6511) | ( _u6512 != c_Groups_Ozero__class_Ozero(_u6511)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6511), _u6512), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u6511)) )).
% 19.53/19.77 cnf(matrix-3925, plain, ( ~class_Rings_Osemiring__1(_u6513) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6513), c_Groups_Ozero__class_Ozero(_u6513)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u6513)) )).
% 19.53/19.77 cnf(matrix-3926, plain, ( ~class_Rings_Ocomm__semiring__1(_u6514) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6514), _u6515), _u6515) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6514), _u6515), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 19.53/19.77 cnf(matrix-3927, plain, ( ~class_Groups_Omonoid__mult(_u6516) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6516), _u6517), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6516), _u6517), _u6517)) )).
% 19.53/19.77 cnf(matrix-3928, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u6518)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6518, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 19.53/19.77 cnf(matrix-3929, plain, ( ~class_Rings_Osemiring__1(_u6519) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6519), c_Groups_Oone__class_Oone(_u6519)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u6519)) )).
% 19.53/19.77 cnf(matrix-3930, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 19.53/19.77 cnf(matrix-3931, plain, ( ~class_Rings_Oring__1(_u6520) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6520), hAPP(c_Groups_Ouminus__class_Ouminus(_u6520), _u6521)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6520), _u6521), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 19.53/19.77 cnf(matrix-3932, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6522), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6522), _u6523)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6522))), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6523)))) )).
% 19.53/19.77 cnf(matrix-3933, plain, ( ~class_Groups_Omonoid__mult(_u6524) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6524), _u6525), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6526)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6524), hAPP(hAPP(c_Power_Opower__class_Opower(_u6524), _u6525), _u6526)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 19.53/19.77 cnf(matrix-3934, plain, ( ~class_Rings_Olinordered__idom(_u6527) | ( hAPP(c_Groups_Oabs__class_Oabs(_u6527), hAPP(hAPP(c_Power_Opower__class_Opower(_u6527), _u6528), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6527), _u6528), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 19.53/19.77 cnf(matrix-3935, plain, ( ~class_Rings_Olinordered__idom(_u6529) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6529), hAPP(c_Groups_Oabs__class_Oabs(_u6529), _u6530)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6529), _u6530), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 19.53/19.77 cnf(matrix-3936, plain, ( ~class_Rings_Olinordered__semidom(_u6531) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6531), _u6532), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != hAPP(hAPP(c_Power_Opower__class_Opower(_u6531), _u6533), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6531), c_Groups_Ozero__class_Ozero(_u6531)), _u6532)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6531), c_Groups_Ozero__class_Ozero(_u6531)), _u6533)) | ( _u6532 = _u6533) )).
% 19.53/19.77 cnf(matrix-3937, plain, ( ~class_Rings_Olinordered__semidom(_u6534) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6534), hAPP(hAPP(c_Power_Opower__class_Opower(_u6534), _u6535), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6534), _u6536), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6534), c_Groups_Ozero__class_Ozero(_u6534)), _u6536)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6534), _u6535), _u6536)) )).
% 19.53/19.77 cnf(matrix-3938, plain, ( ~class_Rings_Olinordered__idom(_u6537) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6537), c_Groups_Ozero__class_Ozero(_u6537)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6537), _u6538), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 19.53/19.77 cnf(matrix-3939, plain, ( ~class_Rings_Olinordered__idom(_u6539) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6539), hAPP(hAPP(c_Power_Opower__class_Opower(_u6539), _u6540), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u6539))) )).
% 19.53/19.77 cnf(matrix-3940, plain, ( ~class_Rings_Olinordered__idom(_u6541) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6541), c_Groups_Ozero__class_Ozero(_u6541)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6541), _u6542), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( _u6542 != c_Groups_Ozero__class_Ozero(_u6541)) )).
% 19.53/19.77 cnf(matrix-3941, plain, ( ~class_Rings_Olinordered__idom(_u6541) | ( _u6542 = c_Groups_Ozero__class_Ozero(_u6541)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6541), c_Groups_Ozero__class_Ozero(_u6541)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6541), _u6542), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 19.53/19.77 cnf(matrix-3942, plain, ( ~class_Rings_Olinordered__idom(_u6543) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6543), hAPP(hAPP(c_Power_Opower__class_Opower(_u6543), _u6544), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6543), _u6545), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u6543)) | ( _u6544 = c_Groups_Ozero__class_Ozero(_u6543)) )).
% 19.53/19.77 cnf(matrix-3943, plain, ( ~class_Rings_Olinordered__idom(_u6543) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6543), hAPP(hAPP(c_Power_Opower__class_Opower(_u6543), _u6544), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6543), _u6545), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u6543)) | ( _u6545 = c_Groups_Ozero__class_Ozero(_u6543)) )).
% 19.53/19.77 cnf(matrix-3944, plain, ( ~class_Rings_Olinordered__idom(_u6543) | ( _u6544 != c_Groups_Ozero__class_Ozero(_u6543)) | ( _u6545 != c_Groups_Ozero__class_Ozero(_u6543)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6543), hAPP(hAPP(c_Power_Opower__class_Opower(_u6543), _u6544), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6543), _u6545), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(_u6543)) )).
% 19.53/19.77 cnf(matrix-3945, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 19.53/19.77 cnf(matrix-3946, plain, ( ~class_Groups_Omonoid__mult(_u6546) | ~class_Int_Onumber(_u6546) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6546), hAPP(c_Int_Onumber__class_Onumber__of(_u6546), _u6547)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6546), hAPP(c_Int_Onumber__class_Onumber__of(_u6546), _u6547)), hAPP(c_Int_Onumber__class_Onumber__of(_u6546), _u6547))) )).
% 19.53/19.77 cnf(matrix-3947, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u6548) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6548), _u6549), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Oone__class_Oone(_u6548)) | ( _u6549 = c_Groups_Oone__class_Oone(_u6548)) | ( _u6549 = hAPP(c_Groups_Ouminus__class_Ouminus(_u6548), c_Groups_Oone__class_Oone(_u6548))) )).
% 19.53/19.77 cnf(matrix-3948, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u6548) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6548), _u6549), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u6548)) | ( _u6549 != c_Groups_Oone__class_Oone(_u6548)) )).
% 19.53/19.77 cnf(matrix-3949, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u6548) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6548), _u6549), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u6548)) | ( _u6549 != hAPP(c_Groups_Ouminus__class_Ouminus(_u6548), c_Groups_Oone__class_Oone(_u6548))) )).
% 19.53/19.77 cnf(matrix-3950, plain, ( ~class_Rings_Ocomm__semiring__1(_u6550) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6550), _u6551), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6552)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6550), hAPP(hAPP(c_Power_Opower__class_Opower(_u6550), _u6551), _u6552)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6550), _u6551), _u6552))) )).
% 19.53/19.77 cnf(matrix-3951, plain, ( ~class_Rings_Oring__1(_u6553) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6553), hAPP(c_Groups_Ouminus__class_Ouminus(_u6553), _u6554)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6555)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6553), _u6554), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6555))) )).
% 19.53/19.77 cnf(matrix-3952, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u6556)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u6556), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 19.53/19.77 cnf(matrix-3953, plain, ( ~class_Rings_Olinordered__semidom(_u6557) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6557), hAPP(hAPP(c_Power_Opower__class_Opower(_u6557), _u6558), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6557), _u6559), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6557), c_Groups_Ozero__class_Ozero(_u6557)), _u6559)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6557), _u6558), _u6559)) )).
% 19.53/19.77 cnf(matrix-3954, plain, ( ~class_Rings_Olinordered__idom(_u6560) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6560), c_Groups_Ozero__class_Ozero(_u6560)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6560), hAPP(hAPP(c_Power_Opower__class_Opower(_u6560), _u6561), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6560), _u6562), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 19.53/19.77 cnf(matrix-3955, plain, ( ~class_Rings_Olinordered__idom(_u6563) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6563), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6563), hAPP(hAPP(c_Power_Opower__class_Opower(_u6563), _u6564), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6563), _u6565), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u6563))) | ( _u6564 = c_Groups_Ozero__class_Ozero(_u6563)) )).
% 19.53/19.77 cnf(matrix-3956, plain, ( ~class_Rings_Olinordered__idom(_u6563) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6563), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6563), hAPP(hAPP(c_Power_Opower__class_Opower(_u6563), _u6564), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6563), _u6565), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u6563))) | ( _u6565 = c_Groups_Ozero__class_Ozero(_u6563)) )).
% 19.53/19.77 cnf(matrix-3957, plain, ( ~class_Rings_Olinordered__idom(_u6563) | ( _u6564 != c_Groups_Ozero__class_Ozero(_u6563)) | ( _u6565 != c_Groups_Ozero__class_Ozero(_u6563)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6563), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6563), hAPP(hAPP(c_Power_Opower__class_Opower(_u6563), _u6564), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6563), _u6565), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u6563))) )).
% 19.53/19.77 cnf(matrix-3958, plain, ( ~class_Rings_Olinordered__idom(_u6566) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6566), c_Groups_Ozero__class_Ozero(_u6566)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6566), hAPP(hAPP(c_Power_Opower__class_Opower(_u6566), _u6567), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6566), _u6568), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u6567 != c_Groups_Ozero__class_Ozero(_u6566)) | ( _u6568 != c_Groups_Ozero__class_Ozero(_u6566)) )).
% 19.53/19.77 cnf(matrix-3959, plain, ( ~class_Rings_Olinordered__idom(_u6566) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6566), c_Groups_Ozero__class_Ozero(_u6566)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6566), hAPP(hAPP(c_Power_Opower__class_Opower(_u6566), _u6567), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6566), _u6568), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u6567 = c_Groups_Ozero__class_Ozero(_u6566)) )).
% 19.53/19.77 cnf(matrix-3960, plain, ( ~class_Rings_Olinordered__idom(_u6566) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6566), c_Groups_Ozero__class_Ozero(_u6566)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6566), hAPP(hAPP(c_Power_Opower__class_Opower(_u6566), _u6567), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6566), _u6568), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u6568 = c_Groups_Ozero__class_Ozero(_u6566)) )).
% 19.53/19.77 cnf(matrix-3961, plain, ( ~class_Rings_Olinordered__idom(_u6569) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6569), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6569), hAPP(hAPP(c_Power_Opower__class_Opower(_u6569), _u6570), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6569), _u6571), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u6569))) )).
% 19.53/19.77 cnf(matrix-3962, plain, ( ~class_Int_Onumber__ring(_u6572) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6572), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6572), _u6573), _u6574)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6572), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6572), hAPP(hAPP(c_Power_Opower__class_Opower(_u6572), _u6573), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6572), _u6574), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6572), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6572), hAPP(c_Int_Onumber__class_Onumber__of(_u6572), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6573)), _u6574))) )).
% 19.53/19.77 cnf(matrix-3963, plain, ( ~class_Rings_Olinordered__idom(_u6575) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6575), c_Groups_Ozero__class_Ozero(_u6575)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6575), _u6576), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6577)))) )).
% 19.53/19.77 cnf(matrix-3964, plain, ( ~class_Groups_Omonoid__mult(_u6578) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6578), _u6579), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6580))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6578), _u6579), hAPP(hAPP(c_Power_Opower__class_Opower(_u6578), hAPP(hAPP(c_Power_Opower__class_Opower(_u6578), _u6579), _u6580)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 19.53/19.77 cnf(matrix-3965, plain, ( ~class_Rings_Ocomm__semiring__1(_u6581) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6581), _u6582), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6583))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6581), _u6582), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6581), hAPP(hAPP(c_Power_Opower__class_Opower(_u6581), _u6582), _u6583)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6581), _u6582), _u6583)))) )).
% 19.53/19.77 cnf(matrix-3966, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6585, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6585, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-3967, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6586, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6586, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 19.53/19.77 cnf(matrix-3968, plain, ( ~class_Rings_Oring__1(_u6587) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6587), hAPP(c_Groups_Ouminus__class_Ouminus(_u6587), c_Groups_Oone__class_Oone(_u6587))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6588)) = c_Groups_Oone__class_Oone(_u6587)) )).
% 19.53/19.77 cnf(matrix-3969, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6589)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6590)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6590), _u6589)), _u6590) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6590), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6589), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 19.53/19.77 cnf(matrix-3970, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6591)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6591), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 19.53/19.77 cnf(matrix-3971, plain, ( ~class_Int_Onumber__ring(_u6592) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6592), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6592), _u6593), _u6594)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6592), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6592), hAPP(hAPP(c_Power_Opower__class_Opower(_u6592), _u6593), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6592), _u6594), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6592), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6592), hAPP(c_Int_Onumber__class_Onumber__of(_u6592), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6593)), _u6594))) )).
% 19.53/19.77 cnf(matrix-3972, plain, ( ~class_Rings_Olinordered__idom(_u6595) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6595), c_Groups_Ozero__class_Ozero(_u6595)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6595), _u6596), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6597))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6595), c_Groups_Ozero__class_Ozero(_u6595)), _u6596)) )).
% 19.53/19.77 cnf(matrix-3973, plain, ( ( _u6599 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Code__Numeral_Oint__of, _u6599) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.53/19.77 cnf(matrix-3974, plain, ( ( _u6600 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u6600, hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Code__Numeral_Oint__of, _u6600) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), hAPP(c_Code__Numeral_Oint__of, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u6600), hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 19.53/19.77 cnf(matrix-3975, plain, ( ( _u6600 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u6600, hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Code__Numeral_Oint__of, _u6600) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), hAPP(c_Code__Numeral_Oint__of, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u6600), hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 19.53/19.77 cnf(matrix-3976, plain, ( ~class_Rings_Olinordered__semidom(_u6601) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6601), _u6602), _u6603)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6601), c_Groups_Ozero__class_Ozero(_u6601)), _u6602)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6604)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6601), hAPP(hAPP(c_Power_Opower__class_Opower(_u6601), _u6602), _u6604)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6601), _u6603), _u6604))) )).
% 19.53/19.77 cnf(matrix-3977, plain, ( ~class_Fields_Ofield(_u6605) | ( _u6606 = c_Groups_Ozero__class_Ozero(_u6605)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6607), _u6608)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6605), _u6606), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u6608), _u6607)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6605), hAPP(hAPP(c_Power_Opower__class_Opower(_u6605), _u6606), _u6608)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6605), _u6606), _u6607))) )).
% 19.53/19.77 cnf(matrix-3978, plain, ( ~class_Rings_Olinordered__semidom(_u6609) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6609), c_Groups_Oone__class_Oone(_u6609)), _u6610)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6611)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6609), c_Groups_Oone__class_Oone(_u6609)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6609), _u6610), _u6611))) )).
% 19.53/19.77 cnf(matrix-3979, plain, ( ~class_Rings_Olinordered__semidom(_u6612) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6612), c_Groups_Oone__class_Oone(_u6612)), _u6613)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6612), hAPP(hAPP(c_Power_Opower__class_Opower(_u6612), _u6613), _u6614)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6612), _u6613), _u6615))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6614), _u6615)) )).
% 19.53/19.77 cnf(matrix-3980, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u6616) | ( _u6617 = c_Groups_Ozero__class_Ozero(_u6616)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6616), _u6617), _u6618) != c_Groups_Ozero__class_Ozero(_u6616)) )).
% 19.53/19.77 cnf(matrix-3981, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6619) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.53/19.77 cnf(matrix-3982, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6622), _u6624) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6624 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u6622 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.53/19.77 cnf(matrix-3983, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6623), _u6625) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6625 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-3984, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6623), _u6625) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u6623 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.53/19.77 cnf(matrix-3985, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6628), _u6630))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6628)) | ( _u6630 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-3986, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6629), _u6631))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6629)) )).
% 19.53/19.77 cnf(matrix-3987, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6629), _u6631))) | ( _u6631 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-3988, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6632)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6632), _u6633)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6632), _u6634))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6633), _u6634)) )).
% 19.53/19.77 cnf(matrix-3989, plain, ( ~class_Groups_Omonoid__mult(_u6635) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6635), hAPP(hAPP(c_Power_Opower__class_Opower(_u6635), _u6636), _u6637)), _u6636) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6635), _u6636), hAPP(hAPP(c_Power_Opower__class_Opower(_u6635), _u6636), _u6637))) )).
% 19.53/19.77 cnf(matrix-3990, plain, ( ~class_Groups_Ocomm__monoid__mult(_u6638) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6638), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6638), _u6639), _u6640)), _u6641) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6638), hAPP(hAPP(c_Power_Opower__class_Opower(_u6638), _u6639), _u6641)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6638), _u6640), _u6641))) )).
% 19.53/19.77 cnf(matrix-3991, plain, ( ~class_Groups_Omonoid__mult(_u6642) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6642), c_Groups_Oone__class_Oone(_u6642)), _u6643) = c_Groups_Oone__class_Oone(_u6642)) )).
% 19.53/19.77 cnf(matrix-3992, plain, ( ~class_Rings_Osemiring__1(_u6644) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6644), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6645), _u6646)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6644), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6644), _u6645)), _u6646)) )).
% 19.53/19.77 cnf(matrix-3993, plain, ( ~class_Groups_Omonoid__mult(_u6647) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6647), _u6648), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6649), _u6650)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6647), hAPP(hAPP(c_Power_Opower__class_Opower(_u6647), _u6648), _u6649)), _u6650)) )).
% 19.53/19.77 cnf(matrix-3994, plain, ( ~class_Fields_Ofield__inverse__zero(_u6651) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6651), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6651), _u6652), _u6653)), _u6654) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6651), hAPP(hAPP(c_Power_Opower__class_Opower(_u6651), _u6652), _u6654)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6651), _u6653), _u6654))) )).
% 19.53/19.77 cnf(matrix-3995, plain, ( ~class_Rings_Olinordered__idom(_u6655) | ( hAPP(c_Groups_Oabs__class_Oabs(_u6655), hAPP(hAPP(c_Power_Opower__class_Opower(_u6655), _u6656), _u6657)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6655), hAPP(c_Groups_Oabs__class_Oabs(_u6655), _u6656)), _u6657)) )).
% 19.53/19.77 cnf(matrix-3996, plain, ( ~class_Groups_Omonoid__mult(_u6658) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6658), _u6659), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u6659) )).
% 19.53/19.77 cnf(matrix-3997, plain, ( ~class_Rings_Olinordered__semidom(_u6660) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6660), c_Groups_Ozero__class_Ozero(_u6660)), _u6661)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6660), c_Groups_Ozero__class_Ozero(_u6660)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6660), _u6661), _u6662))) )).
% 19.53/19.77 cnf(matrix-3998, plain, ( ~class_Rings_Olinordered__semidom(_u6663) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6663), _u6664), _u6665)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6663), c_Groups_Ozero__class_Ozero(_u6663)), _u6664)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6663), hAPP(hAPP(c_Power_Opower__class_Opower(_u6663), _u6664), _u6666)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6663), _u6665), _u6666))) )).
% 19.53/19.77 cnf(matrix-3999, plain, ( ~class_Rings_Olinordered__semidom(_u6667) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6667), c_Groups_Ozero__class_Ozero(_u6667)), _u6668)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6667), c_Groups_Ozero__class_Ozero(_u6667)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6667), _u6668), _u6669))) )).
% 19.53/19.77 cnf(matrix-4000, plain, ( ~class_Power_Opower(_u6670) | ~class_Rings_Omult__zero(_u6670) | ~class_Rings_Ono__zero__divisors(_u6670) | ~class_Rings_Ozero__neq__one(_u6670) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6670), _u6671), _u6672) != c_Groups_Ozero__class_Ozero(_u6670)) | ( _u6671 = c_Groups_Ozero__class_Ozero(_u6670)) )).
% 19.53/19.77 cnf(matrix-4001, plain, ( ~class_Power_Opower(_u6670) | ~class_Rings_Omult__zero(_u6670) | ~class_Rings_Ono__zero__divisors(_u6670) | ~class_Rings_Ozero__neq__one(_u6670) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6670), _u6671), _u6672) != c_Groups_Ozero__class_Ozero(_u6670)) | ( _u6672 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-4002, plain, ( ~class_Power_Opower(_u6670) | ~class_Rings_Omult__zero(_u6670) | ~class_Rings_Ono__zero__divisors(_u6670) | ~class_Rings_Ozero__neq__one(_u6670) | ( _u6671 != c_Groups_Ozero__class_Ozero(_u6670)) | ( _u6672 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6670), _u6671), _u6672) = c_Groups_Ozero__class_Ozero(_u6670)) )).
% 19.53/19.77 cnf(matrix-4003, plain, ( ~class_Rings_Olinordered__semidom(_u6673) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6673), c_Groups_Oone__class_Oone(_u6673)), _u6674)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6673), c_Groups_Oone__class_Oone(_u6673)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6673), _u6674), _u6675))) )).
% 19.53/19.77 cnf(matrix-4004, plain, ( ~class_Power_Opower(_u6676) | ~class_Rings_Osemiring__0(_u6676) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6676), c_Groups_Ozero__class_Ozero(_u6676)), hAPP(c_Nat_OSuc, _u6677)) = c_Groups_Ozero__class_Ozero(_u6676)) )).
% 19.53/19.77 cnf(matrix-4005, plain, ( ~class_Rings_Olinordered__semidom(_u6678) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6678), c_Groups_Oone__class_Oone(_u6678)), _u6679)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6678), _u6679), _u6680) != hAPP(hAPP(c_Power_Opower__class_Opower(_u6678), _u6679), _u6681)) | ( _u6680 = _u6681) )).
% 19.53/19.77 cnf(matrix-4006, plain, ( ~class_Rings_Olinordered__semidom(_u6678) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6678), c_Groups_Oone__class_Oone(_u6678)), _u6679)) | ( _u6680 != _u6681) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6678), _u6679), _u6680) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6678), _u6679), _u6681)) )).
% 19.53/19.77 cnf(matrix-4007, plain, ( ~class_Groups_Omonoid__mult(_u6682) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6682), _u6683), hAPP(c_Nat_OSuc, _u6684)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6682), hAPP(hAPP(c_Power_Opower__class_Opower(_u6682), _u6683), _u6684)), _u6683)) )).
% 19.53/19.77 cnf(matrix-4008, plain, ( ~class_Power_Opower(_u6685) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6685), _u6686), hAPP(c_Nat_OSuc, _u6687)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6685), _u6686), hAPP(hAPP(c_Power_Opower__class_Opower(_u6685), _u6686), _u6687))) )).
% 19.53/19.77 cnf(matrix-4009, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6688)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u6688), _u6689))) )).
% 19.53/19.77 cnf(matrix-4010, plain, ( ~class_Power_Opower(_u6690) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6690), _u6691), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u6690)) )).
% 19.53/19.77 cnf(matrix-4011, plain, ( ~class_Groups_Omonoid__mult(_u6692) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6692), _u6693), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6694), _u6695)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6692), hAPP(hAPP(c_Power_Opower__class_Opower(_u6692), _u6693), _u6694)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6692), _u6693), _u6695))) )).
% 19.53/19.77 cnf(matrix-4012, plain, ( ~class_Fields_Ofield(_u6696) | ( _u6697 = c_Groups_Ozero__class_Ozero(_u6696)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6696), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6696), _u6698), _u6697)), _u6699) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6696), hAPP(hAPP(c_Power_Opower__class_Opower(_u6696), _u6698), _u6699)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6696), _u6697), _u6699))) )).
% 19.53/19.77 cnf(matrix-4013, plain, ( ~class_Fields_Ofield__inverse__zero(_u6700) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6700), c_Groups_Oone__class_Oone(_u6700)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6700), _u6701), _u6702)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6700), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6700), c_Groups_Oone__class_Oone(_u6700)), _u6701)), _u6702)) )).
% 19.53/19.77 cnf(matrix-4014, plain, ( ~class_Rings_Olinordered__idom(_u6703) | ( hAPP(c_Groups_Oabs__class_Oabs(_u6703), hAPP(hAPP(c_Power_Opower__class_Opower(_u6703), hAPP(c_Groups_Ouminus__class_Ouminus(_u6703), _u6704)), _u6705)) = hAPP(c_Groups_Oabs__class_Oabs(_u6703), hAPP(hAPP(c_Power_Opower__class_Opower(_u6703), _u6704), _u6705))) )).
% 19.53/19.77 cnf(matrix-4015, plain, ( ~class_Rings_Olinordered__semidom(_u6706) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6706), hAPP(hAPP(c_Power_Opower__class_Opower(_u6706), _u6707), _u6708)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6706), _u6709), _u6708))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6706), c_Groups_Ozero__class_Ozero(_u6706)), _u6709)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6706), _u6707), _u6709)) )).
% 19.53/19.77 cnf(matrix-4016, plain, ( ~class_Rings_Olinordered__semidom(_u6710) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6710), hAPP(hAPP(c_Power_Opower__class_Opower(_u6710), _u6711), hAPP(c_Nat_OSuc, _u6712))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6710), _u6713), hAPP(c_Nat_OSuc, _u6712)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6710), c_Groups_Ozero__class_Ozero(_u6710)), _u6713)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6710), _u6711), _u6713)) )).
% 19.53/19.77 cnf(matrix-4017, plain, ( ~class_Rings_Olinordered__semidom(_u6714) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6714), _u6715), hAPP(c_Nat_OSuc, _u6716)) != hAPP(hAPP(c_Power_Opower__class_Opower(_u6714), _u6717), hAPP(c_Nat_OSuc, _u6716))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6714), c_Groups_Ozero__class_Ozero(_u6714)), _u6715)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6714), c_Groups_Ozero__class_Ozero(_u6714)), _u6717)) | ( _u6715 = _u6717) )).
% 19.53/19.77 cnf(matrix-4018, plain, ( ~class_Rings_Olinordered__semidom(_u6718) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6718), c_Groups_Oone__class_Oone(_u6718)), _u6719)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6718), hAPP(hAPP(c_Power_Opower__class_Opower(_u6718), _u6719), _u6720)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6718), _u6719), hAPP(hAPP(c_Power_Opower__class_Opower(_u6718), _u6719), _u6720)))) )).
% 19.53/19.77 cnf(matrix-4019, plain, ( ~class_Rings_Olinordered__semidom(_u6721) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6721), c_Groups_Oone__class_Oone(_u6721)), _u6722)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6721), c_Groups_Oone__class_Oone(_u6721)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6721), _u6722), hAPP(hAPP(c_Power_Opower__class_Opower(_u6721), _u6722), _u6723)))) )).
% 19.53/19.77 cnf(matrix-4020, plain, ( ~class_Power_Opower(_u6724) | ~class_Rings_Osemiring__0(_u6724) | ( _u6725 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6724), c_Groups_Ozero__class_Ozero(_u6724)), _u6725) = c_Groups_Oone__class_Oone(_u6724)) )).
% 19.53/19.77 cnf(matrix-4021, plain, ( ~class_Power_Opower(_u6724) | ~class_Rings_Osemiring__0(_u6724) | ( _u6725 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6724), c_Groups_Ozero__class_Ozero(_u6724)), _u6725) = c_Groups_Ozero__class_Ozero(_u6724)) )).
% 19.53/19.77 cnf(matrix-4022, plain, ( ~class_Rings_Olinordered__semidom(_u6726) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6726), c_Groups_Oone__class_Oone(_u6726)), _u6727)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6726), c_Groups_Oone__class_Oone(_u6726)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6726), _u6727), hAPP(c_Nat_OSuc, _u6728)))) )).
% 19.53/19.77 cnf(matrix-4023, plain, ( ~class_Rings_Olinordered__semidom(_u6729) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6729), c_Groups_Oone__class_Oone(_u6729)), _u6730)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6729), hAPP(hAPP(c_Power_Opower__class_Opower(_u6729), _u6730), _u6731)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6729), _u6730), _u6732))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6731), _u6732)) )).
% 19.53/19.77 cnf(matrix-4024, plain, ( ~class_Rings_Olinordered__semidom(_u6729) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6729), c_Groups_Oone__class_Oone(_u6729)), _u6730)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6731), _u6732)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6729), hAPP(hAPP(c_Power_Opower__class_Opower(_u6729), _u6730), _u6731)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6729), _u6730), _u6732))) )).
% 19.53/19.77 cnf(matrix-4025, plain, ( ~class_Rings_Olinordered__semidom(_u6733) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6733), c_Groups_Oone__class_Oone(_u6733)), _u6734)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6733), hAPP(hAPP(c_Power_Opower__class_Opower(_u6733), _u6734), _u6735)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6733), _u6734), _u6736))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6735), _u6736)) )).
% 19.53/19.77 cnf(matrix-4026, plain, ( ~class_Rings_Olinordered__semidom(_u6737) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6738), _u6739)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6737), c_Groups_Oone__class_Oone(_u6737)), _u6740)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6737), hAPP(hAPP(c_Power_Opower__class_Opower(_u6737), _u6740), _u6738)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6737), _u6740), _u6739))) )).
% 19.53/19.77 cnf(matrix-4027, plain, ( ~class_Rings_Olinordered__idom(_u6741) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6741), c_Groups_Ozero__class_Ozero(_u6741)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6741), hAPP(c_Groups_Oabs__class_Oabs(_u6741), _u6742)), _u6743))) )).
% 19.53/19.77 cnf(matrix-4028, plain, ( ~class_Rings_Olinordered__semidom(_u6744) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6745), _u6746)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6744), c_Groups_Oone__class_Oone(_u6744)), _u6747)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6744), hAPP(hAPP(c_Power_Opower__class_Opower(_u6744), _u6747), _u6745)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6744), _u6747), _u6746))) )).
% 19.53/19.77 cnf(matrix-4029, plain, ( ~class_Rings_Oring__1(_u6748) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6748), hAPP(c_Groups_Ouminus__class_Ouminus(_u6748), _u6749)), _u6750) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6748), hAPP(hAPP(c_Power_Opower__class_Opower(_u6748), hAPP(c_Groups_Ouminus__class_Ouminus(_u6748), c_Groups_Oone__class_Oone(_u6748))), _u6750)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6748), _u6749), _u6750))) )).
% 19.53/19.77 cnf(matrix-4030, plain, ( ~class_Rings_Olinordered__semidom(_u6751) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6751), c_Groups_Ozero__class_Ozero(_u6751)), _u6752)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6751), _u6752), c_Groups_Oone__class_Oone(_u6751))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6751), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6751), _u6752), hAPP(hAPP(c_Power_Opower__class_Opower(_u6751), _u6752), _u6753))), hAPP(hAPP(c_Power_Opower__class_Opower(_u6751), _u6752), _u6753))) )).
% 19.53/19.77 cnf(matrix-4031, plain, ( ~class_Rings_Olinordered__semidom(_u6754) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6754), _u6755), _u6756) != hAPP(hAPP(c_Power_Opower__class_Opower(_u6754), _u6757), _u6756)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6754), c_Groups_Ozero__class_Ozero(_u6754)), _u6755)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6754), c_Groups_Ozero__class_Ozero(_u6754)), _u6757)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6756)) | ( _u6755 = _u6757) )).
% 19.53/19.77 cnf(matrix-4032, plain, ( ~class_Rings_Olinordered__semidom(_u6758) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6758), c_Groups_Ozero__class_Ozero(_u6758)), _u6759)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6758), _u6759), c_Groups_Oone__class_Oone(_u6758))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6758), hAPP(hAPP(c_Power_Opower__class_Opower(_u6758), _u6759), hAPP(c_Nat_OSuc, _u6760))), c_Groups_Oone__class_Oone(_u6758))) )).
% 19.53/19.77 cnf(matrix-4033, plain, ( ~class_Rings_Olinordered__semidom(_u6761) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u6762), _u6763)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6761), c_Groups_Ozero__class_Ozero(_u6761)), _u6764)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6761), _u6764), c_Groups_Oone__class_Oone(_u6761))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6761), hAPP(hAPP(c_Power_Opower__class_Opower(_u6761), _u6764), _u6763)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6761), _u6764), _u6762))) )).
% 19.53/19.77 cnf(matrix-4034, plain, ( ~class_Rings_Olinordered__semidom(_u6765) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6766), _u6767)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6765), c_Groups_Ozero__class_Ozero(_u6765)), _u6768)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6765), _u6768), c_Groups_Oone__class_Oone(_u6765))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6765), hAPP(hAPP(c_Power_Opower__class_Opower(_u6765), _u6768), _u6767)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6765), _u6768), _u6766))) )).
% 19.53/19.77 cnf(matrix-4035, plain, ( ~class_Rings_Olinordered__semidom(_u6769) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6769), c_Groups_Oone__class_Oone(_u6769)), _u6770)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6769), hAPP(hAPP(c_Power_Opower__class_Opower(_u6769), _u6770), _u6771)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6769), _u6770), _u6772))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6771), _u6772)) )).
% 19.53/19.77 cnf(matrix-4036, plain, ( ~class_Rings_Olinordered__semidom(_u6769) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6769), c_Groups_Oone__class_Oone(_u6769)), _u6770)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u6771), _u6772)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6769), hAPP(hAPP(c_Power_Opower__class_Opower(_u6769), _u6770), _u6771)), hAPP(hAPP(c_Power_Opower__class_Opower(_u6769), _u6770), _u6772))) )).
% 19.53/19.77 cnf(matrix-4037, plain, ( ( c_Int_Onat__aux(_u6773, _u6774) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u6773)), _u6774)) )).
% 19.53/19.77 cnf(matrix-4038, plain, ( c_Nat__Transfer_Otransfer__morphism(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.77 cnf(matrix-4039, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6775), _u6776)) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u6775, tc_HOL_Obool)), hAPP(c_Set_OPow(_u6775), _u6776)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_Finite__Set_Ocard(_u6775), _u6776))) )).
% 19.53/19.77 cnf(matrix-4040, plain, ( ~class_Power_Opower(_u6777) | ( c_Power_Opower__class_Opower(_u6777) = c_Power_Opower_Opower(_u6777, c_Groups_Oone__class_Oone(_u6777), c_Groups_Otimes__class_Otimes(_u6777))) )).
% 19.53/19.77 cnf(matrix-4041, plain, ( ~class_Int_Onumber__ring(_u6778) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6778), hAPP(c_Int_Onumber__class_Onumber__of(_u6778), c_Int_OMin)), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6779))) = hAPP(c_Int_Onumber__class_Onumber__of(_u6778), c_Int_OMin)) )).
% 19.53/19.77 cnf(matrix-4042, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6780, tc_HOL_Obool)), _u6781), _u6782)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u6780, tc_HOL_Obool)), _u6781), hAPP(c_Set_OPow(_u6780), _u6782))) )).
% 19.53/19.77 cnf(matrix-4043, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 19.53/19.77 cnf(matrix-4044, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 19.53/19.77 cnf(matrix-4045, plain, ( ( c_Int_OPls != c_Int_OMin) )).
% 19.53/19.77 cnf(matrix-4046, plain, ( ( c_Int_OMin != c_Int_OPls) )).
% 19.53/19.77 cnf(matrix-4047, plain, ( ( c_Int_OBit1(_u6784) != c_Int_OMin) | ( _u6784 = c_Int_OMin) )).
% 19.53/19.77 cnf(matrix-4048, plain, ( ( _u6785 != c_Int_OMin) | ( c_Int_OBit1(_u6785) = c_Int_OMin) )).
% 19.53/19.77 cnf(matrix-4049, plain, ( ( c_Int_OMin != c_Int_OBit1(_u6787)) | ( c_Int_OMin = _u6787) )).
% 19.53/19.77 cnf(matrix-4050, plain, ( ( c_Int_OMin != _u6788) | ( c_Int_OMin = c_Int_OBit1(_u6788)) )).
% 19.53/19.77 cnf(matrix-4051, plain, ( ( c_Int_OBit1(c_Int_OMin) = c_Int_OMin) )).
% 19.53/19.77 cnf(matrix-4052, plain, ( ( c_Int_OMin != c_Int_OBit0(_u6789)) )).
% 19.53/19.77 cnf(matrix-4053, plain, ( ( c_Int_OBit0(_u6790) != c_Int_OMin) )).
% 19.53/19.77 cnf(matrix-4054, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u6791, tc_HOL_Obool)), _u6792), hAPP(c_Set_OPow(_u6791), _u6792))) )).
% 19.53/19.77 cnf(matrix-4055, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u6793, tc_HOL_Obool), hAPP(c_Set_OPow(_u6793), _u6794)) = _u6794) )).
% 19.53/19.77 cnf(matrix-4056, plain, ( ( hAPP(c_Set_OPow(_u6795), _u6796) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u6795, tc_HOL_Obool), tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-4057, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.77 cnf(matrix-4058, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 19.53/19.77 cnf(matrix-4059, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 19.53/19.77 cnf(matrix-4060, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u6798)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6798), c_Int_OMin)) )).
% 19.53/19.77 cnf(matrix-4061, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6799), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u6799)), c_Int_OMin)) )).
% 19.53/19.77 cnf(matrix-4062, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u6801))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u6801)) )).
% 19.53/19.77 cnf(matrix-4063, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u6802)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u6802))) )).
% 19.53/19.77 cnf(matrix-4064, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 19.53/19.77 cnf(matrix-4065, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 19.53/19.77 cnf(matrix-4066, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u6804))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u6804)) )).
% 19.53/19.77 cnf(matrix-4067, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u6805)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u6805))) )).
% 19.53/19.77 cnf(matrix-4068, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u6807)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6807), c_Int_OMin)) )).
% 19.53/19.77 cnf(matrix-4069, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6808), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u6808)), c_Int_OMin)) )).
% 19.53/19.77 cnf(matrix-4070, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u6810)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6810), c_Int_OMin)) )).
% 19.53/19.77 cnf(matrix-4071, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6811), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u6811)), c_Int_OMin)) )).
% 19.53/19.77 cnf(matrix-4072, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u6813))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u6813)) )).
% 19.53/19.77 cnf(matrix-4073, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u6814)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u6814))) )).
% 19.53/19.77 cnf(matrix-4074, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 19.53/19.77 cnf(matrix-4075, plain, ( ( c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 19.53/19.77 cnf(matrix-4076, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OMin), _u6815) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6815)) )).
% 19.53/19.77 cnf(matrix-4077, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin))) )).
% 19.53/19.77 cnf(matrix-4078, plain, ( ( c_Int_Opred(c_Int_OPls) = c_Int_OMin) )).
% 19.53/19.77 cnf(matrix-4079, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6816), c_Int_OMin) = c_Int_Opred(_u6816)) )).
% 19.53/19.77 cnf(matrix-4080, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OMin), _u6817) = c_Int_Opred(_u6817)) )).
% 19.53/19.77 cnf(matrix-4081, plain, ( ( c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin)) )).
% 19.53/19.77 cnf(matrix-4082, plain, ( ~class_Int_Onumber__ring(_u6818) | ~c_Int_Oiszero(_u6818, hAPP(c_Int_Onumber__class_Onumber__of(_u6818), c_Int_OMin)) )).
% 19.53/19.77 cnf(matrix-4083, plain, ( ( c_Int_Osucc(c_Int_OMin) = c_Int_OPls) )).
% 19.53/19.77 cnf(matrix-4084, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6819), c_Int_OMin) = c_Int_Osucc(_u6819)) )).
% 19.53/19.77 cnf(matrix-4085, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u6820, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u6820, tc_HOL_Obool))), hAPP(c_Set_OPow(_u6820), _u6821))) )).
% 19.53/19.77 cnf(matrix-4086, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u6825, tc_HOL_Obool)), _u6827), hAPP(c_Set_OPow(_u6825), _u6829))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6825, tc_HOL_Obool)), _u6827), _u6829)) )).
% 19.53/19.77 cnf(matrix-4087, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6826, tc_HOL_Obool)), _u6828), _u6830)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u6826, tc_HOL_Obool)), _u6828), hAPP(c_Set_OPow(_u6826), _u6830))) )).
% 19.53/19.77 cnf(matrix-4088, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u6831, tc_HOL_Obool)), _u6832), hAPP(c_Set_OPow(_u6831), _u6833))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6831, tc_HOL_Obool)), _u6832), _u6833)) )).
% 19.53/19.77 cnf(matrix-4089, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6834, tc_HOL_Obool)), _u6835), _u6836)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u6834, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u6834), _u6835)), hAPP(c_Set_OPow(_u6834), _u6836))) )).
% 19.53/19.77 cnf(matrix-4090, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u6839, tc_HOL_Obool)), hAPP(c_Set_OPow(_u6839), _u6841))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6839), _u6841)) )).
% 19.53/19.77 cnf(matrix-4091, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6840), _u6842)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u6840, tc_HOL_Obool)), hAPP(c_Set_OPow(_u6840), _u6842))) )).
% 19.53/19.77 cnf(matrix-4092, plain, ( ~class_Int_Onumber__ring(_u6843) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6843), _u6844), hAPP(c_Int_Onumber__class_Onumber__of(_u6843), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6843), _u6844)) )).
% 19.53/19.77 cnf(matrix-4093, plain, ( ~class_Int_Onumber__ring(_u6845) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6845), hAPP(c_Int_Onumber__class_Onumber__of(_u6845), c_Int_OMin)), _u6846) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6845), _u6846)) )).
% 19.53/19.77 cnf(matrix-4094, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u6847, tc_HOL_Obool), tc_HOL_Obool)), _u6848), hAPP(c_Set_OPow(_u6847), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u6847, tc_HOL_Obool), _u6848)))) )).
% 19.53/19.77 cnf(matrix-4095, plain, ( ~class_Int_Onumber__ring(_u6849) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u6849), c_Groups_Oone__class_Oone(_u6849)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6849), c_Int_OMin)) )).
% 19.53/19.77 cnf(matrix-4096, plain, ( ~class_Int_Onumber__ring(_u6850) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u6850), c_Int_OMin) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6850), c_Groups_Oone__class_Oone(_u6850))) )).
% 19.53/19.77 cnf(matrix-4097, plain, ( ~class_Int_Onumber__ring(_u6851) | ~class_Rings_Olinordered__idom(_u6851) | ( hAPP(c_Groups_Oabs__class_Oabs(_u6851), hAPP(c_Int_Onumber__class_Onumber__of(_u6851), c_Int_OMin)) = c_Groups_Oone__class_Oone(_u6851)) )).
% 19.53/19.77 cnf(matrix-4098, plain, ( ~class_Fields_Ofield__inverse__zero(_u6852) | ~class_Int_Onumber__ring(_u6852) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6852), _u6853), hAPP(c_Int_Onumber__class_Onumber__of(_u6852), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6852), _u6853)) )).
% 19.53/19.77 cnf(matrix-4099, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u6855)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6855), c_Int_OMin)) )).
% 19.53/19.77 cnf(matrix-4100, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6856), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u6856)), c_Int_OMin)) )).
% 19.53/19.77 cnf(matrix-4101, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u6858))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u6858)) )).
% 19.53/19.77 cnf(matrix-4102, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u6859)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u6859))) )).
% 19.53/19.77 cnf(matrix-4103, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u6860, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.53/19.77 cnf(matrix-4104, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u6861)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u6861))) )).
% 19.53/19.77 cnf(matrix-4105, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OMin) = c_Int_OBit1(c_Int_OPls)) )).
% 19.53/19.77 cnf(matrix-4106, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6862), _u6863) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6862 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6862 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 19.53/19.77 cnf(matrix-4107, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6866), _u6868) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6866 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6866 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 19.53/19.77 cnf(matrix-4108, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6866), _u6868) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6866 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6868 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 19.53/19.77 cnf(matrix-4109, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6866), _u6868) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6868 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6866 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 19.53/19.77 cnf(matrix-4110, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6866), _u6868) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6868 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6868 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 19.53/19.77 cnf(matrix-4111, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6867), _u6869) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6867 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6869 != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 19.53/19.77 cnf(matrix-4112, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6867), _u6869) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u6867 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) | ( _u6869 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 19.53/19.77 cnf(matrix-4113, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u6870)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u6870))) )).
% 19.53/19.77 cnf(matrix-4114, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u6871)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u6871))) )).
% 19.53/19.77 cnf(matrix-4115, plain, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u6872, _u6873, _u6874), _u6875), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u6873) )).
% 19.53/19.77 cnf(matrix-4116, plain, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u6876, _u6877, _u6878), _u6879), hAPP(c_Nat_OSuc, _u6880)) = hAPP(hAPP(_u6878, _u6879), hAPP(hAPP(c_Power_Opower_Opower(_u6876, _u6877, _u6878), _u6879), _u6880))) )).
% 19.53/19.77 cnf(matrix-4117, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6881), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6881)) )).
% 19.53/19.77 cnf(matrix-4118, plain, ( ( hAPP(c_Set_OPow(_u6882), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6882, tc_HOL_Obool)), _u6883), _u6884)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u6882, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u6882), _u6883)), hAPP(c_Set_OPow(_u6882), _u6884))) )).
% 19.53/19.77 cnf(matrix-4119, plain, ( ~class_Fields_Ofield__inverse__zero(_u6885) | ~class_Int_Onumber__ring(_u6885) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6885), hAPP(c_Int_Onumber__class_Onumber__of(_u6885), c_Int_OMin)), _u6886) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6885), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u6885), c_Groups_Oone__class_Oone(_u6885)), _u6886))) )).
% 19.53/19.77 cnf(matrix-4120, plain, ( ~class_Int_Onumber__ring(_u6887) | ~class_Rings_Olinordered__idom(_u6887) | ( hAPP(c_Groups_Oabs__class_Oabs(_u6887), hAPP(hAPP(c_Power_Opower__class_Opower(_u6887), hAPP(c_Int_Onumber__class_Onumber__of(_u6887), c_Int_OMin)), _u6888)) = c_Groups_Oone__class_Oone(_u6887)) )).
% 19.53/19.77 cnf(matrix-4121, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6889)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), _u6889) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 19.53/19.77 cnf(matrix-4122, plain, ( ( hAPP(c_Set_OPow(_u6890), c_Orderings_Obot__class_Obot(tc_fun(_u6890, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u6890, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u6890, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u6890, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 19.53/19.77 cnf(matrix-4123, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u6891, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u6891, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u6891), _u6892)), hAPP(c_Set_OPow(_u6891), _u6893))), hAPP(c_Set_OPow(_u6891), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6891, tc_HOL_Obool)), _u6892), _u6893)))) )).
% 19.53/19.77 cnf(matrix-4124, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6894)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6894), _u6895)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u6894), _u6895) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 19.53/19.77 cnf(matrix-4125, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6896)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u6896) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6896), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 19.53/19.77 cnf(matrix-4126, plain, ( ~class_Int_Onumber__ring(_u6897) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u6897), hAPP(c_Int_Onumber__class_Onumber__of(_u6897), c_Int_OMin)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u6898)) = c_Groups_Oone__class_Oone(_u6897)) )).
% 19.53/19.77 cnf(matrix-4127, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-4128, plain, ( ~class_Rings_Oring__1(_u6899) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6900), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u6899), _u6900) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6899), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6899), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6900))))) )).
% 19.53/19.77 cnf(matrix-4129, plain, ( ~class_Rings_Oring__1(_u6899) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6900), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u6899), _u6900) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6899), hAPP(c_Int_Onat, _u6900))) )).
% 19.53/19.77 cnf(matrix-4130, plain, ( ( c_Nitpick_Oint__lcm(_u6901, _u6902) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Nitpick_Onat__lcm(hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6901)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u6902))))) )).
% 19.53/19.77 cnf(matrix-4131, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6904), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u6904 = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem135(_u6904))))) )).
% 19.53/19.77 cnf(matrix-4132, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-4133, plain, ( ~class_Int_Oring__char__0(_u6905) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u6905), _u6906) != hAPP(c_Int_Oring__1__class_Oof__int(_u6905), _u6907)) | ( _u6906 = _u6907) )).
% 19.53/19.77 cnf(matrix-4134, plain, ( ~class_Int_Oring__char__0(_u6905) | ( _u6906 != _u6907) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u6905), _u6906) = hAPP(c_Int_Oring__1__class_Oof__int(_u6905), _u6907)) )).
% 19.53/19.77 cnf(matrix-4135, plain, ( ~class_Int_Onumber__ring(_u6908) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u6908), _u6909) = hAPP(c_Int_Oring__1__class_Oof__int(_u6908), _u6909)) )).
% 19.53/19.77 cnf(matrix-4136, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6910) = hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), _u6910)) )).
% 19.53/19.77 cnf(matrix-4137, plain, ( ( hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6911)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6911)) )).
% 19.53/19.77 cnf(matrix-4138, plain, ( ~class_Int_Oring__char__0(_u6912) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u6912), _u6913) != c_Groups_Ozero__class_Ozero(_u6912)) | ( _u6913 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.53/19.77 cnf(matrix-4139, plain, ( ~class_Int_Oring__char__0(_u6912) | ( _u6913 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u6912), _u6913) = c_Groups_Ozero__class_Ozero(_u6912)) )).
% 19.53/19.77 cnf(matrix-4140, plain, ( ~class_Int_Oring__char__0(_u6914) | ( c_Groups_Ozero__class_Ozero(_u6914) != hAPP(c_Int_Oring__1__class_Oof__int(_u6914), _u6915)) | ( _u6915 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.53/19.77 cnf(matrix-4141, plain, ( ~class_Int_Oring__char__0(_u6914) | ( _u6915 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Ozero__class_Ozero(_u6914) = hAPP(c_Int_Oring__1__class_Oof__int(_u6914), _u6915)) )).
% 19.53/19.77 cnf(matrix-4142, plain, ( ~class_Rings_Oring__1(_u6916) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u6916), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(_u6916)) )).
% 19.53/19.77 cnf(matrix-4143, plain, ( ~class_Rings_Olinordered__idom(_u6917) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6917), hAPP(c_Int_Oring__1__class_Oof__int(_u6917), _u6918)), hAPP(c_Int_Oring__1__class_Oof__int(_u6917), _u6919))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6918), _u6919)) )).
% 19.53/19.77 cnf(matrix-4144, plain, ( ~class_Rings_Olinordered__idom(_u6917) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6918), _u6919)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6917), hAPP(c_Int_Oring__1__class_Oof__int(_u6917), _u6918)), hAPP(c_Int_Oring__1__class_Oof__int(_u6917), _u6919))) )).
% 19.53/19.77 cnf(matrix-4145, plain, ( ~class_Rings_Olinordered__idom(_u6920) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6920), hAPP(c_Int_Oring__1__class_Oof__int(_u6920), _u6921)), hAPP(c_Int_Oring__1__class_Oof__int(_u6920), _u6922))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6921), _u6922)) )).
% 19.53/19.77 cnf(matrix-4146, plain, ( ~class_Rings_Olinordered__idom(_u6920) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6921), _u6922)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6920), hAPP(c_Int_Oring__1__class_Oof__int(_u6920), _u6921)), hAPP(c_Int_Oring__1__class_Oof__int(_u6920), _u6922))) )).
% 19.53/19.77 cnf(matrix-4147, plain, ( ~class_Rings_Oring__1(_u6923) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u6923), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u6924), _u6925)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6923), hAPP(c_Int_Oring__1__class_Oof__int(_u6923), _u6924)), hAPP(c_Int_Oring__1__class_Oof__int(_u6923), _u6925))) )).
% 19.53/19.77 cnf(matrix-4148, plain, ( ~class_Int_Onumber__ring(_u6926) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u6926), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u6927)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6926), _u6927)) )).
% 19.53/19.77 cnf(matrix-4149, plain, ( ~class_Rings_Oring__1(_u6928) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u6928), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u6929), _u6930)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6928), hAPP(c_Int_Oring__1__class_Oof__int(_u6928), _u6929)), hAPP(c_Int_Oring__1__class_Oof__int(_u6928), _u6930))) )).
% 19.53/19.77 cnf(matrix-4150, plain, ( ~class_Rings_Oring__1(_u6931) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u6931), c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(_u6931)) )).
% 19.53/19.77 cnf(matrix-4151, plain, ( ~class_Rings_Oring__1(_u6932) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u6932), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u6933), _u6934)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u6932), hAPP(c_Int_Oring__1__class_Oof__int(_u6932), _u6933)), hAPP(c_Int_Oring__1__class_Oof__int(_u6932), _u6934))) )).
% 19.53/19.77 cnf(matrix-4152, plain, ( ~class_Rings_Oring__1(_u6935) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u6935), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u6936)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6935), _u6936)) )).
% 19.53/19.77 cnf(matrix-4153, plain, ( ~class_Rings_Oring__1(_u6937) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u6937), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u6938)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6937), hAPP(c_Int_Oring__1__class_Oof__int(_u6937), _u6938))) )).
% 19.53/19.77 cnf(matrix-4154, plain, ( ~class_Rings_Oring__1(_u6939) | hBOOL(hAPP(hAPP(c_member(_u6939), hAPP(c_Int_Oring__1__class_Oof__int(_u6939), _u6940)), c_Int_Oring__1__class_OInts(_u6939))) )).
% 19.53/19.77 cnf(matrix-4155, plain, ( ~class_Rings_Oring__1(_u6941) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u6941), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u6942), _u6943)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u6941), hAPP(c_Int_Oring__1__class_Oof__int(_u6941), _u6942)), _u6943)) )).
% 19.53/19.77 cnf(matrix-4156, plain, ( ~class_Int_Onumber__ring(_u6944) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u6944), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Int_Onumber__class_Onumber__of(_u6944), c_Int_OMin)) )).
% 19.53/19.77 cnf(matrix-4157, plain, ( ~class_Rings_Olinordered__idom(_u6945) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6945), c_Groups_Ozero__class_Ozero(_u6945)), hAPP(c_Int_Oring__1__class_Oof__int(_u6945), _u6946))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6946)) )).
% 19.53/19.77 cnf(matrix-4158, plain, ( ~class_Rings_Olinordered__idom(_u6945) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6946)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6945), c_Groups_Ozero__class_Ozero(_u6945)), hAPP(c_Int_Oring__1__class_Oof__int(_u6945), _u6946))) )).
% 19.53/19.77 cnf(matrix-4159, plain, ( ~class_Rings_Olinordered__idom(_u6947) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6947), hAPP(c_Int_Oring__1__class_Oof__int(_u6947), _u6948)), c_Groups_Ozero__class_Ozero(_u6947))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6948), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.77 cnf(matrix-4160, plain, ( ~class_Rings_Olinordered__idom(_u6947) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6948), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6947), hAPP(c_Int_Oring__1__class_Oof__int(_u6947), _u6948)), c_Groups_Ozero__class_Ozero(_u6947))) )).
% 19.53/19.77 cnf(matrix-4161, plain, ( ~class_Rings_Olinordered__idom(_u6949) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6949), hAPP(c_Int_Oring__1__class_Oof__int(_u6949), _u6950)), c_Groups_Ozero__class_Ozero(_u6949))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6950), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.77 cnf(matrix-4162, plain, ( ~class_Rings_Olinordered__idom(_u6949) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u6950), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6949), hAPP(c_Int_Oring__1__class_Oof__int(_u6949), _u6950)), c_Groups_Ozero__class_Ozero(_u6949))) )).
% 19.53/19.77 cnf(matrix-4163, plain, ( ~class_Rings_Olinordered__idom(_u6951) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6951), c_Groups_Ozero__class_Ozero(_u6951)), hAPP(c_Int_Oring__1__class_Oof__int(_u6951), _u6952))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6952)) )).
% 19.53/19.77 cnf(matrix-4164, plain, ( ~class_Rings_Olinordered__idom(_u6951) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6952)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6951), c_Groups_Ozero__class_Ozero(_u6951)), hAPP(c_Int_Oring__1__class_Oof__int(_u6951), _u6952))) )).
% 19.53/19.77 cnf(matrix-4165, plain, ( ~class_Rings_Oring__1(_u6953) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u6954)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u6953), hAPP(c_Int_Onat, _u6954)) = hAPP(c_Int_Oring__1__class_Oof__int(_u6953), _u6954)) )).
% 19.53/19.77 cnf(matrix-4166, plain, ( ( c_Nitpick_Onat__lcm(_u6955, _u6956) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6955), _u6956)), c_Nitpick_Onat__gcd(_u6955, _u6956))) )).
% 19.53/19.77 cnf(matrix-4167, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), c_Code__Numeral_OSuc__code__numeral(_u6957)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), _u6957)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 19.53/19.77 cnf(matrix-4168, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Code__Numeral_OSuc__code__numeral(_u6958)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(_u6958)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 19.53/19.77 cnf(matrix-4169, plain, ( ~class_Rings_Olinordered__idom(_u6959) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6959), _u6960), c_Groups_Ozero__class_Ozero(_u6959))) | ( c_Groups_Osgn__class_Osgn(_u6959, _u6960) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6959), c_Groups_Oone__class_Oone(_u6959))) )).
% 19.53/19.77 cnf(matrix-4170, plain, ( ~class_Rings_Olinordered__idom(_u6961) | ( c_Groups_Osgn__class_Osgn(_u6961, _u6962) != hAPP(c_Groups_Ouminus__class_Ouminus(_u6961), c_Groups_Oone__class_Oone(_u6961))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6961), _u6962), c_Groups_Ozero__class_Ozero(_u6961))) )).
% 19.53/19.77 cnf(matrix-4171, plain, ( ~class_Rings_Olinordered__idom(_u6961) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6961), _u6962), c_Groups_Ozero__class_Ozero(_u6961))) | ( c_Groups_Osgn__class_Osgn(_u6961, _u6962) = hAPP(c_Groups_Ouminus__class_Ouminus(_u6961), c_Groups_Oone__class_Oone(_u6961))) )).
% 19.53/19.77 cnf(matrix-4172, plain, ( ~class_Rings_Olinordered__idom(_u6963) | ( c_Groups_Osgn__class_Osgn(_u6963, c_Groups_Osgn__class_Osgn(_u6963, _u6964)) = c_Groups_Osgn__class_Osgn(_u6963, _u6964)) )).
% 19.53/19.77 cnf(matrix-4173, plain, ( ( c_Code__Numeral_OSuc__code__numeral(_u6967) != c_Code__Numeral_OSuc__code__numeral(_u6969)) | ( _u6967 = _u6969) )).
% 19.53/19.77 cnf(matrix-4174, plain, ( ( _u6968 != _u6970) | ( c_Code__Numeral_OSuc__code__numeral(_u6968) = c_Code__Numeral_OSuc__code__numeral(_u6970)) )).
% 19.53/19.77 cnf(matrix-4175, plain, ( ~class_Rings_Olinordered__idom(_u6971) | ( c_Groups_Osgn__class_Osgn(_u6971, _u6972) != c_Groups_Ozero__class_Ozero(_u6971)) | ( _u6972 = c_Groups_Ozero__class_Ozero(_u6971)) )).
% 19.53/19.77 cnf(matrix-4176, plain, ( ~class_Rings_Olinordered__idom(_u6971) | ( _u6972 != c_Groups_Ozero__class_Ozero(_u6971)) | ( c_Groups_Osgn__class_Osgn(_u6971, _u6972) = c_Groups_Ozero__class_Ozero(_u6971)) )).
% 19.53/19.77 cnf(matrix-4177, plain, ( ~class_Groups_Osgn__if(_u6973) | ( c_Groups_Osgn__class_Osgn(_u6973, c_Groups_Ozero__class_Ozero(_u6973)) = c_Groups_Ozero__class_Ozero(_u6973)) )).
% 19.53/19.77 cnf(matrix-4178, plain, ( ~class_Rings_Olinordered__idom(_u6974) | ( c_Groups_Osgn__class_Osgn(_u6974, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6974), _u6975), _u6976)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6974), c_Groups_Osgn__class_Osgn(_u6974, _u6975)), c_Groups_Osgn__class_Osgn(_u6974, _u6976))) )).
% 19.53/19.77 cnf(matrix-4179, plain, ( ( c_Code__Numeral_OSuc__code__numeral(_u6977) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 19.53/19.77 cnf(matrix-4180, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(_u6978)) )).
% 19.53/19.77 cnf(matrix-4181, plain, ( ~class_Rings_Olinordered__idom(_u6979) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6979), c_Groups_Osgn__class_Osgn(_u6979, _u6980)), c_Groups_Ozero__class_Ozero(_u6979))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6979), _u6980), c_Groups_Ozero__class_Ozero(_u6979))) )).
% 19.53/19.77 cnf(matrix-4182, plain, ( ~class_Rings_Olinordered__idom(_u6979) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6979), _u6980), c_Groups_Ozero__class_Ozero(_u6979))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6979), c_Groups_Osgn__class_Osgn(_u6979, _u6980)), c_Groups_Ozero__class_Ozero(_u6979))) )).
% 19.53/19.77 cnf(matrix-4183, plain, ( ~class_Rings_Olinordered__idom(_u6981) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6981), c_Groups_Ozero__class_Ozero(_u6981)), c_Groups_Osgn__class_Osgn(_u6981, _u6982))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6981), c_Groups_Ozero__class_Ozero(_u6981)), _u6982)) )).
% 19.53/19.77 cnf(matrix-4184, plain, ( ~class_Rings_Olinordered__idom(_u6981) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6981), c_Groups_Ozero__class_Ozero(_u6981)), _u6982)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6981), c_Groups_Ozero__class_Ozero(_u6981)), c_Groups_Osgn__class_Osgn(_u6981, _u6982))) )).
% 19.53/19.77 cnf(matrix-4185, plain, ( ~class_Rings_Olinordered__idom(_u6983) | ( hAPP(c_Groups_Oabs__class_Oabs(_u6983), _u6984) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6983), _u6984), c_Groups_Osgn__class_Osgn(_u6983, _u6984))) )).
% 19.53/19.77 cnf(matrix-4186, plain, ( ~class_Rings_Olinordered__idom(_u6985) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6985), c_Groups_Osgn__class_Osgn(_u6985, _u6986)), hAPP(c_Groups_Oabs__class_Oabs(_u6985), _u6986)) = _u6986) )).
% 19.53/19.77 cnf(matrix-4187, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), c_Code__Numeral_OSuc__code__numeral(_u6987)), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = _u6987) )).
% 19.53/19.77 cnf(matrix-4188, plain, ( ~class_Rings_Olinordered__idom(_u6988) | ( c_Groups_Osgn__class_Osgn(_u6988, _u6989) != c_Groups_Oone__class_Oone(_u6988)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6988), c_Groups_Ozero__class_Ozero(_u6988)), _u6989)) )).
% 19.53/19.77 cnf(matrix-4189, plain, ( ~class_Rings_Olinordered__idom(_u6988) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6988), c_Groups_Ozero__class_Ozero(_u6988)), _u6989)) | ( c_Groups_Osgn__class_Osgn(_u6988, _u6989) = c_Groups_Oone__class_Oone(_u6988)) )).
% 19.53/19.77 cnf(matrix-4190, plain, ( ~class_Rings_Olinordered__idom(_u6990) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6990), c_Groups_Ozero__class_Ozero(_u6990)), _u6991)) | ( c_Groups_Osgn__class_Osgn(_u6990, _u6991) = c_Groups_Oone__class_Oone(_u6990)) )).
% 19.53/19.77 cnf(matrix-4191, plain, ( ( _u6994 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u6996, _u6994) = _u6996) )).
% 19.53/19.77 cnf(matrix-4192, plain, ( ( _u6995 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u6997, _u6995) = c_Nitpick_Onat__gcd(_u6995, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u6997, _u6995))) )).
% 19.53/19.77 cnf(matrix-4193, plain, ( ( _u6999 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u6999) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.53/19.77 cnf(matrix-4194, plain, ( ( _u7000 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7000)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u7000) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 19.53/19.77 cnf(matrix-4195, plain, ( ( _u7000 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7000)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u7000) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 19.53/19.77 cnf(matrix-4196, plain, ( ~class_Groups_Osgn__if(_u7001) | ( _u7002 != c_Groups_Ozero__class_Ozero(_u7001)) | ( c_Groups_Osgn__class_Osgn(_u7001, _u7002) = c_Groups_Ozero__class_Ozero(_u7001)) )).
% 19.53/19.77 cnf(matrix-4197, plain, ( ~class_Groups_Osgn__if(_u7001) | ( _u7002 = c_Groups_Ozero__class_Ozero(_u7001)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7001), c_Groups_Ozero__class_Ozero(_u7001)), _u7002)) | ( c_Groups_Osgn__class_Osgn(_u7001, _u7002) = c_Groups_Oone__class_Oone(_u7001)) )).
% 19.53/19.77 cnf(matrix-4198, plain, ( ~class_Groups_Osgn__if(_u7001) | ( _u7002 = c_Groups_Ozero__class_Ozero(_u7001)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7001), c_Groups_Ozero__class_Ozero(_u7001)), _u7002)) | ( c_Groups_Osgn__class_Osgn(_u7001, _u7002) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7001), c_Groups_Oone__class_Oone(_u7001))) )).
% 19.53/19.77 cnf(matrix-4199, plain, ( ( hAPP(hAPP(c_Nitpick_Oint__gcd, _u7003), _u7004) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Nitpick_Onat__gcd(hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7003)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7004))))) )).
% 19.53/19.77 cnf(matrix-4200, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u7005, _u7006, _u7007, c_Code__Numeral_OSuc__code__numeral(_u7008)) = hAPP(_u7007, _u7008)) )).
% 19.53/19.77 cnf(matrix-4201, plain, ( ~class_Lattices_Oboolean__algebra(_u7009) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7009), _u7010), _u7011) != c_Orderings_Obot__class_Obot(_u7009)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7009), _u7010), _u7011) != c_Orderings_Otop__class_Otop(_u7009)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7009), _u7010) = _u7011) )).
% 19.53/19.77 cnf(matrix-4202, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem136(_u7016, _u7015, _u7014)), _u7014)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u7015, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7016)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7016), hAPP(_u7015, _u7014))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem137(_u7016, _u7015, _u7014)), _u7014)) )).
% 19.53/19.77 cnf(matrix-4203, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem136(_u7016, _u7015, _u7014)), _u7014)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u7015, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7016)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7016), hAPP(_u7015, _u7014))) | ( hAPP(_u7015, skolem137(_u7016, _u7015, _u7014)) = _u7016) )).
% 19.53/19.77 cnf(matrix-4204, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(_u7015, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem136(_u7016, _u7015, _u7014)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u7015, skolem136(_u7016, _u7015, _u7014))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u7015, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7016)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7016), hAPP(_u7015, _u7014))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem137(_u7016, _u7015, _u7014)), _u7014)) )).
% 19.53/19.77 cnf(matrix-4205, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(_u7015, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem136(_u7016, _u7015, _u7014)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u7015, skolem136(_u7016, _u7015, _u7014))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u7015, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7016)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7016), hAPP(_u7015, _u7014))) | ( hAPP(_u7015, skolem137(_u7016, _u7015, _u7014)) = _u7016) )).
% 19.53/19.77 cnf(matrix-4206, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem138(_u7021, _u7020, _u7019)), _u7019)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u7020, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7021)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7021), hAPP(_u7020, _u7019))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem139(_u7021, _u7020, _u7019)), _u7019)) )).
% 19.53/19.77 cnf(matrix-4207, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem138(_u7021, _u7020, _u7019)), _u7019)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u7020, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7021)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7021), hAPP(_u7020, _u7019))) | ( hAPP(_u7020, skolem139(_u7021, _u7020, _u7019)) = _u7021) )).
% 19.53/19.77 cnf(matrix-4208, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(_u7020, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem138(_u7021, _u7020, _u7019)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u7020, skolem138(_u7021, _u7020, _u7019))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u7020, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7021)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7021), hAPP(_u7020, _u7019))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem139(_u7021, _u7020, _u7019)), _u7019)) )).
% 19.53/19.77 cnf(matrix-4209, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(_u7020, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem138(_u7021, _u7020, _u7019)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u7020, skolem138(_u7021, _u7020, _u7019))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u7020, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u7021)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7021), hAPP(_u7020, _u7019))) | ( hAPP(_u7020, skolem139(_u7021, _u7020, _u7019)) = _u7021) )).
% 19.53/19.77 cnf(matrix-4210, plain, ( hBOOL(hAPP(hAPP(c_member(_u7022), _u7023), c_Orderings_Otop__class_Otop(tc_fun(_u7022, tc_HOL_Obool)))) )).
% 19.53/19.77 cnf(matrix-4211, plain, ( ( hAPP(c_Set_OPow(_u7024), c_Orderings_Otop__class_Otop(tc_fun(_u7024, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u7024, tc_HOL_Obool), tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-4212, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u7026), c_Orderings_Otop__class_Otop(tc_fun(_u7026, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u7025, _u7026)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u7025, _u7026), tc_HOL_Obool)))) )).
% 19.53/19.77 cnf(matrix-4213, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u7027, tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(_u7027, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-4214, plain, ( ~class_Finite__Set_Ofinite(_u7028) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7028), c_Orderings_Otop__class_Otop(tc_fun(_u7028, tc_HOL_Obool)))) )).
% 19.53/19.77 cnf(matrix-4215, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u7029, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u7029, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u7029, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-4216, plain, ( ~class_Orderings_Otop(_u7030) | ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u7031, _u7030)), _u7032) = c_Orderings_Otop__class_Otop(_u7030)) )).
% 19.53/19.77 cnf(matrix-4217, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7033) | ( c_Complete__Lattice_OSup__class_OSup(_u7033, c_Orderings_Otop__class_Otop(tc_fun(_u7033, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u7033)) )).
% 19.53/19.77 cnf(matrix-4218, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7034), c_Orderings_Otop__class_Otop(tc_fun(_u7034, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7035), c_Orderings_Otop__class_Otop(tc_fun(_u7035, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u7034, _u7035)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u7034, _u7035), tc_HOL_Obool)))) )).
% 19.53/19.77 cnf(matrix-4219, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u7037)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u7037), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7037), c_Orderings_Otop__class_Otop(tc_fun(_u7037, tc_HOL_Obool)))) )).
% 19.53/19.77 cnf(matrix-4220, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7038), c_Orderings_Otop__class_Otop(tc_fun(_u7038, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u7038)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u7038), tc_HOL_Obool)))) )).
% 19.53/19.77 cnf(matrix-4221, plain, ( ( c_Sum__Type_OPlus(_u7039, _u7040, c_Orderings_Otop__class_Otop(tc_fun(_u7039, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u7040, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u7039, _u7040), tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-4222, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7041, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u7041, tc_HOL_Obool))), _u7042) = _u7042) )).
% 19.53/19.77 cnf(matrix-4223, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7043, tc_HOL_Obool)), _u7044), c_Orderings_Otop__class_Otop(tc_fun(_u7043, tc_HOL_Obool))) = _u7044) )).
% 19.53/19.77 cnf(matrix-4224, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7045, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u7045, tc_HOL_Obool))), _u7046) = c_Orderings_Otop__class_Otop(tc_fun(_u7045, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-4225, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7047, tc_HOL_Obool)), _u7048), c_Orderings_Otop__class_Otop(tc_fun(_u7047, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u7047, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-4226, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7049, tc_HOL_Obool)), _u7050), c_Orderings_Otop__class_Otop(tc_fun(_u7049, tc_HOL_Obool)))) )).
% 19.53/19.77 cnf(matrix-4227, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Product__Type_Ounit), c_Orderings_Otop__class_Otop(tc_fun(tc_Product__Type_Ounit, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-4228, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u7053, _u7055)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u7053, _u7055), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7053), c_Orderings_Otop__class_Otop(tc_fun(_u7053, tc_HOL_Obool)))) )).
% 19.53/19.77 cnf(matrix-4229, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u7053, _u7055)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u7053, _u7055), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7055), c_Orderings_Otop__class_Otop(tc_fun(_u7055, tc_HOL_Obool)))) )).
% 19.53/19.77 cnf(matrix-4230, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7054), c_Orderings_Otop__class_Otop(tc_fun(_u7054, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7056), c_Orderings_Otop__class_Otop(tc_fun(_u7056, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u7054, _u7056)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u7054, _u7056), tc_HOL_Obool)))) )).
% 19.53/19.77 cnf(matrix-4231, plain, ( ~class_Orderings_Otop(_u7057) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7057), _u7058), c_Orderings_Otop__class_Otop(_u7057))) )).
% 19.53/19.77 cnf(matrix-4232, plain, ( ~class_Lattices_Obounded__lattice__top(_u7059) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7059), c_Orderings_Otop__class_Otop(_u7059)), _u7060) = c_Orderings_Otop__class_Otop(_u7059)) )).
% 19.53/19.77 cnf(matrix-4233, plain, ( ~class_Lattices_Obounded__lattice__top(_u7061) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7061), _u7062), c_Orderings_Otop__class_Otop(_u7061)) = c_Orderings_Otop__class_Otop(_u7061)) )).
% 19.53/19.77 cnf(matrix-4234, plain, ( ~class_Lattices_Obounded__lattice__top(_u7063) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7063), _u7064), _u7065) != c_Orderings_Otop__class_Otop(_u7063)) | ( _u7064 = c_Orderings_Otop__class_Otop(_u7063)) )).
% 19.53/19.77 cnf(matrix-4235, plain, ( ~class_Lattices_Obounded__lattice__top(_u7063) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7063), _u7064), _u7065) != c_Orderings_Otop__class_Otop(_u7063)) | ( _u7065 = c_Orderings_Otop__class_Otop(_u7063)) )).
% 19.53/19.77 cnf(matrix-4236, plain, ( ~class_Lattices_Obounded__lattice__top(_u7063) | ( _u7064 != c_Orderings_Otop__class_Otop(_u7063)) | ( _u7065 != c_Orderings_Otop__class_Otop(_u7063)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7063), _u7064), _u7065) = c_Orderings_Otop__class_Otop(_u7063)) )).
% 19.53/19.77 cnf(matrix-4237, plain, ( ~class_Lattices_Obounded__lattice__top(_u7066) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7066), _u7067), c_Orderings_Otop__class_Otop(_u7066)) = _u7067) )).
% 19.53/19.77 cnf(matrix-4238, plain, ( ~class_Lattices_Obounded__lattice__top(_u7068) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7068), c_Orderings_Otop__class_Otop(_u7068)), _u7069) = _u7069) )).
% 19.53/19.77 cnf(matrix-4239, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7070, tc_HOL_Obool)), _u7071), c_Orderings_Otop__class_Otop(tc_fun(_u7070, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u7070, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-4240, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7072), c_Orderings_Otop__class_Otop(tc_fun(_u7072, tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u7072), _u7073) != hAPP(c_Finite__Set_Ocard(_u7072), c_Orderings_Otop__class_Otop(tc_fun(_u7072, tc_HOL_Obool)))) | ( _u7073 = c_Orderings_Otop__class_Otop(tc_fun(_u7072, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-4241, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7074, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u7074, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u7074, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-4242, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7075, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u7075, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u7075, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-4243, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7076), _u7077)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7076), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7076, tc_HOL_Obool)), _u7077))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7076), c_Orderings_Otop__class_Otop(tc_fun(_u7076, tc_HOL_Obool)))) )).
% 19.53/19.77 cnf(matrix-4244, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7076), _u7077)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7076), c_Orderings_Otop__class_Otop(tc_fun(_u7076, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7076), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7076, tc_HOL_Obool)), _u7077))) )).
% 19.53/19.77 cnf(matrix-4245, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7078, tc_HOL_Obool)), _u7079), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7078, tc_HOL_Obool)), _u7079)) = c_Orderings_Otop__class_Otop(tc_fun(_u7078, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-4246, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7080, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7080, tc_HOL_Obool)), _u7081)), _u7081) = c_Orderings_Otop__class_Otop(tc_fun(_u7080, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-4247, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7082, tc_HOL_Obool)), _u7083) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7082, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u7082, tc_HOL_Obool))), _u7083)) )).
% 19.53/19.77 cnf(matrix-4248, plain, ( ~class_Lattices_Oboolean__algebra(_u7084) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7084), c_Orderings_Otop__class_Otop(_u7084)) = c_Orderings_Obot__class_Obot(_u7084)) )).
% 19.53/19.77 cnf(matrix-4249, plain, ( ~class_Lattices_Oboolean__algebra(_u7085) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7085), c_Orderings_Obot__class_Obot(_u7085)) = c_Orderings_Otop__class_Otop(_u7085)) )).
% 19.53/19.77 cnf(matrix-4250, plain, ( ~class_Lattices_Oboolean__algebra(_u7086) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7086), hAPP(c_Groups_Ouminus__class_Ouminus(_u7086), _u7087)), _u7087) = c_Orderings_Otop__class_Otop(_u7086)) )).
% 19.53/19.77 cnf(matrix-4251, plain, ( ~class_Lattices_Oboolean__algebra(_u7088) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7088), _u7089), hAPP(c_Groups_Ouminus__class_Ouminus(_u7088), _u7089)) = c_Orderings_Otop__class_Otop(_u7088)) )).
% 19.53/19.77 cnf(matrix-4252, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7090), c_Orderings_Otop__class_Otop(tc_fun(_u7090, tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u7090), c_Orderings_Otop__class_Otop(tc_fun(_u7090, tc_HOL_Obool))))) )).
% 19.53/19.77 cnf(matrix-4253, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_HOL_Obool, tc_HOL_Obool))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 19.53/19.77 cnf(matrix-4254, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u7091, _u7092, _u7093, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u7092) )).
% 19.53/19.77 cnf(matrix-4255, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u7094, _u7095)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u7094, _u7095), tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u7095), c_Orderings_Otop__class_Otop(tc_fun(_u7095, tc_HOL_Obool))) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7094), c_Orderings_Otop__class_Otop(tc_fun(_u7094, tc_HOL_Obool)))) )).
% 19.53/19.77 cnf(matrix-4256, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7096) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7096), _u7097)) | ( c_Complete__Lattice_OInf__class_OInf(_u7096, _u7097) = hAPP(hAPP(c_Finite__Set_Ofold(_u7096, _u7096, c_Lattices_Osemilattice__inf__class_Oinf(_u7096)), c_Orderings_Otop__class_Otop(_u7096)), _u7097)) )).
% 19.53/19.77 cnf(matrix-4257, plain, ( c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 19.53/19.77 cnf(matrix-4258, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7099, _u7100) != c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7101, _u7100)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7101), _u7099)) | ( _u7099 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7101), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7100), skolem140(_u7101, _u7100, _u7099)))) )).
% 19.53/19.77 cnf(matrix-4259, plain, ( ~hBOOL(hAPP(_u7104, _u7105)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7105), _u7103)) | hBOOL(hAPP(_u7104, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem141(_u7105, _u7104, _u7103)), _u7103)) )).
% 19.53/19.77 cnf(matrix-4260, plain, ( ~hBOOL(hAPP(_u7104, _u7105)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7105), _u7103)) | hBOOL(hAPP(_u7104, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u7104, skolem141(_u7105, _u7104, _u7103))) )).
% 19.53/19.77 cnf(matrix-4261, plain, ( ~hBOOL(hAPP(_u7104, _u7105)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7105), _u7103)) | hBOOL(hAPP(_u7104, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u7104, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, skolem141(_u7105, _u7104, _u7103)), _u7103))) )).
% 19.53/19.77 cnf(matrix-4262, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u7107, tc_HOL_Obool)), _u7106), _u7108)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7107), _u7106)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7107), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7107, tc_HOL_Obool), _u7108))) )).
% 19.53/19.77 cnf(matrix-4263, plain, ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u7109, tc_HOL_Obool)), _u7110)) )).
% 19.53/19.77 cnf(matrix-4264, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7111), _u7112), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7111, tc_HOL_Obool), _u7113))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u7111, tc_HOL_Obool)), _u7114), _u7113)) | hBOOL(hAPP(hAPP(c_member(_u7111), _u7112), _u7114)) )).
% 19.53/19.77 cnf(matrix-4265, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7115), _u7116), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7115, tc_HOL_Obool), _u7117))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u7115, tc_HOL_Obool)), _u7118), _u7117)) | hBOOL(hAPP(hAPP(c_member(_u7115), _u7116), _u7118)) )).
% 19.53/19.77 cnf(matrix-4266, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7119, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u7119, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u7119, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-4267, plain, ( c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.53/19.77 cnf(matrix-4268, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7120, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u7120, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u7120, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-4269, plain, ( ~c_Nat__Transfer_Ois__nat(_u7121) | ~c_Nat__Transfer_Ois__nat(_u7122) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7121), _u7122)) )).
% 19.53/19.77 cnf(matrix-4270, plain, ( c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7123)) )).
% 19.53/19.77 cnf(matrix-4271, plain, ( c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 19.53/19.77 cnf(matrix-4272, plain, ( ~c_Nat__Transfer_Ois__nat(_u7124) | ~c_Nat__Transfer_Ois__nat(_u7125) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7124), _u7125)) )).
% 19.53/19.77 cnf(matrix-4273, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7128) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7128), _u7129), c_Complete__Lattice_OInf__class_OInf(_u7128, _u7130))) | ~hBOOL(hAPP(hAPP(c_member(_u7128), _u7126), _u7130)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7128), _u7129), _u7126)) )).
% 19.53/19.77 cnf(matrix-4274, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7128) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7128), _u7129), c_Complete__Lattice_OInf__class_OInf(_u7128, _u7130))) | hBOOL(hAPP(hAPP(c_member(_u7128), skolem142(_u7130, _u7129, _u7128)), _u7130)) )).
% 19.53/19.77 cnf(matrix-4275, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7128) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7128), _u7129), c_Complete__Lattice_OInf__class_OInf(_u7128, _u7130))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7128), _u7129), skolem142(_u7130, _u7129, _u7128))) )).
% 19.53/19.77 cnf(matrix-4276, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7133) | ~class_Orderings_Olinorder(_u7133) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7133), c_Complete__Lattice_OInf__class_OInf(_u7133, _u7134)), _u7135)) | hBOOL(hAPP(hAPP(c_member(_u7133), skolem143(_u7135, _u7134, _u7133)), _u7134)) )).
% 19.53/19.77 cnf(matrix-4277, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7133) | ~class_Orderings_Olinorder(_u7133) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7133), c_Complete__Lattice_OInf__class_OInf(_u7133, _u7134)), _u7135)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7133), skolem143(_u7135, _u7134, _u7133)), _u7135)) )).
% 19.53/19.77 cnf(matrix-4278, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7133) | ~class_Orderings_Olinorder(_u7133) | ~hBOOL(hAPP(hAPP(c_member(_u7133), _u7132), _u7134)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7133), _u7132), _u7135)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7133), c_Complete__Lattice_OInf__class_OInf(_u7133, _u7134)), _u7135)) )).
% 19.53/19.77 cnf(matrix-4279, plain, ( ~c_Nat__Transfer_Ois__nat(_u7136) | ~c_Nat__Transfer_Ois__nat(_u7137) | c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7136, _u7137)) )).
% 19.53/19.77 cnf(matrix-4280, plain, ( ~c_Nat__Transfer_Ois__nat(_u7138) | ~c_Nat__Transfer_Ois__nat(_u7139) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7138), _u7139)) )).
% 19.53/19.77 cnf(matrix-4281, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7140) | ( c_Complete__Lattice_OInf__class_OInf(_u7140, c_Orderings_Otop__class_Otop(tc_fun(_u7140, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u7140)) )).
% 19.53/19.77 cnf(matrix-4282, plain, ( ~c_Nat__Transfer_Ois__nat(_u7141) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u7141), _u7142)) )).
% 19.53/19.77 cnf(matrix-4283, plain, ( ~c_Nat__Transfer_Ois__nat(_u7143) | ~c_Nat__Transfer_Ois__nat(_u7144) | c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(_u7143, _u7144)) )).
% 19.53/19.77 cnf(matrix-4284, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u7145, tc_HOL_Obool)), _u7146), _u7147)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7145, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7145, tc_HOL_Obool), _u7147)), _u7146)) )).
% 19.53/19.77 cnf(matrix-4285, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u7148, tc_HOL_Obool), tc_HOL_Obool)), _u7149), _u7150)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7148, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7148, tc_HOL_Obool), _u7150)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7148, tc_HOL_Obool), _u7149))) )).
% 19.53/19.77 cnf(matrix-4286, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7151, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u7151, tc_HOL_Obool)), _u7152), _u7153)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7151, tc_HOL_Obool)), _u7152), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7151, tc_HOL_Obool), _u7153))) )).
% 19.53/19.77 cnf(matrix-4287, plain, ( ~c_Nat__Transfer_Ois__nat(_u7155) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7155)) )).
% 19.53/19.77 cnf(matrix-4288, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7156)) | c_Nat__Transfer_Ois__nat(_u7156) )).
% 19.53/19.77 cnf(matrix-4289, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7157) | ~hBOOL(hAPP(hAPP(c_member(_u7157), _u7158), _u7159)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7157), c_Complete__Lattice_OInf__class_OInf(_u7157, _u7159)), _u7158)) )).
% 19.53/19.77 cnf(matrix-4290, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7160, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u7160, tc_HOL_Obool), tc_HOL_Obool)), _u7161), _u7162)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7160, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7160, tc_HOL_Obool), _u7161)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7160, tc_HOL_Obool), _u7162))) )).
% 19.53/19.77 cnf(matrix-4291, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7163) | ( c_Complete__Lattice_OInf__class_OInf(_u7163, hAPP(hAPP(c_Set_Oinsert(_u7163), _u7164), c_Orderings_Obot__class_Obot(tc_fun(_u7163, tc_HOL_Obool)))) = _u7164) )).
% 19.53/19.77 cnf(matrix-4292, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7165) | ( c_Complete__Lattice_OInf__class_OInf(_u7165, c_Orderings_Obot__class_Obot(tc_fun(_u7165, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u7165)) )).
% 19.53/19.77 cnf(matrix-4293, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7166) | ( c_Complete__Lattice_OInf__class_OInf(_u7166, hAPP(hAPP(c_Set_Oinsert(_u7166), _u7167), _u7168)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7166), _u7167), c_Complete__Lattice_OInf__class_OInf(_u7166, _u7168))) )).
% 19.53/19.77 cnf(matrix-4294, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7169, tc_HOL_Obool)), _u7170), _u7171) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7169, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u7169, tc_HOL_Obool)), _u7170), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u7169, tc_HOL_Obool)), _u7171), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u7169, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 19.53/19.77 cnf(matrix-4295, plain, ( c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) )).
% 19.53/19.77 cnf(matrix-4296, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7172, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7172, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7172, tc_HOL_Obool), _u7173)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7172, tc_HOL_Obool), _u7174))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7172, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u7172, tc_HOL_Obool), tc_HOL_Obool)), _u7173), _u7174)))) )).
% 19.53/19.77 cnf(matrix-4297, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7175) | ( c_Complete__Lattice_OInf__class_OInf(_u7175, hAPP(hAPP(c_Set_Oinsert(_u7175), _u7176), hAPP(hAPP(c_Set_Oinsert(_u7175), _u7177), c_Orderings_Obot__class_Obot(tc_fun(_u7175, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7175), _u7176), _u7177)) )).
% 19.53/19.77 cnf(matrix-4298, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7178) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7178), _u7179)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7178), _u7180), c_Complete__Lattice_OInf__class_OInf(_u7178, _u7179)) = hAPP(hAPP(c_Finite__Set_Ofold(_u7178, _u7178, c_Lattices_Osemilattice__inf__class_Oinf(_u7178)), _u7180), _u7179)) )).
% 19.53/19.77 cnf(matrix-4299, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u7181) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7181), _u7182)) | ( _u7182 = c_Orderings_Obot__class_Obot(tc_fun(_u7181, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u7181, _u7182) = c_Complete__Lattice_OInf__class_OInf(_u7181, _u7182)) )).
% 19.53/19.77 cnf(matrix-4300, plain, ( hBOOL(hAPP(hAPP(c_member(_u7183), _u7184), c_Orderings_Otop__class_Otop(tc_fun(_u7183, tc_HOL_Obool)))) )).
% 19.53/19.77 cnf(matrix-4301, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7187), skolem144(_u7190, _u7189, _u7188, _u7187))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7187), _u7188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u7189, _u7187)), _u7190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7190), hAPP(_u7189, _u7188))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7187), skolem145(_u7190, _u7189, _u7188, _u7187))) )).
% 19.53/19.77 cnf(matrix-4302, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7187), skolem144(_u7190, _u7189, _u7188, _u7187))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7187), _u7188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u7189, _u7187)), _u7190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7190), hAPP(_u7189, _u7188))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem145(_u7190, _u7189, _u7188, _u7187)), _u7188)) )).
% 19.53/19.77 cnf(matrix-4303, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7187), skolem144(_u7190, _u7189, _u7188, _u7187))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7187), _u7188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u7189, _u7187)), _u7190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7190), hAPP(_u7189, _u7188))) | ( hAPP(_u7189, skolem145(_u7190, _u7189, _u7188, _u7187)) = _u7190) )).
% 19.53/19.77 cnf(matrix-4304, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem144(_u7190, _u7189, _u7188, _u7187)), _u7188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7187), _u7188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u7189, _u7187)), _u7190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7190), hAPP(_u7189, _u7188))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7187), skolem145(_u7190, _u7189, _u7188, _u7187))) )).
% 19.53/19.77 cnf(matrix-4305, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem144(_u7190, _u7189, _u7188, _u7187)), _u7188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7187), _u7188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u7189, _u7187)), _u7190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7190), hAPP(_u7189, _u7188))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem145(_u7190, _u7189, _u7188, _u7187)), _u7188)) )).
% 19.53/19.77 cnf(matrix-4306, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem144(_u7190, _u7189, _u7188, _u7187)), _u7188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7187), _u7188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u7189, _u7187)), _u7190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7190), hAPP(_u7189, _u7188))) | ( hAPP(_u7189, skolem145(_u7190, _u7189, _u7188, _u7187)) = _u7190) )).
% 19.53/19.77 cnf(matrix-4307, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(_u7189, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem144(_u7190, _u7189, _u7188, _u7187)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u7189, skolem144(_u7190, _u7189, _u7188, _u7187))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7187), _u7188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u7189, _u7187)), _u7190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7190), hAPP(_u7189, _u7188))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7187), skolem145(_u7190, _u7189, _u7188, _u7187))) )).
% 19.53/19.77 cnf(matrix-4308, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(_u7189, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem144(_u7190, _u7189, _u7188, _u7187)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u7189, skolem144(_u7190, _u7189, _u7188, _u7187))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7187), _u7188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u7189, _u7187)), _u7190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7190), hAPP(_u7189, _u7188))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem145(_u7190, _u7189, _u7188, _u7187)), _u7188)) )).
% 19.53/19.77 cnf(matrix-4309, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(_u7189, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem144(_u7190, _u7189, _u7188, _u7187)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u7189, skolem144(_u7190, _u7189, _u7188, _u7187))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7187), _u7188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u7189, _u7187)), _u7190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7190), hAPP(_u7189, _u7188))) | ( hAPP(_u7189, skolem145(_u7190, _u7189, _u7188, _u7187)) = _u7190) )).
% 19.53/19.77 cnf(matrix-4310, plain, ( ( c_Random_Olog(_u7193, _u7195) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u7193), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 19.53/19.77 cnf(matrix-4311, plain, ( ( c_Random_Olog(_u7193, _u7195) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u7195), _u7193)) )).
% 19.53/19.77 cnf(matrix-4312, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u7194), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u7196), _u7194)) | ( c_Random_Olog(_u7194, _u7196) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), c_Random_Olog(_u7194, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u7196), _u7194)))) )).
% 19.53/19.77 cnf(matrix-4313, plain, ( ~class_Divides_Osemiring__div(_u7197) | ( _u7198 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7197), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7197), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u7197), _u7198), _u7199)), _u7199)), c_Divides_Odiv__class_Omod(_u7197, _u7198, _u7199))) )).
% 19.53/19.77 cnf(matrix-4314, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u7200), _u7201) = hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, _u7200), _u7201)) )).
% 19.53/19.77 cnf(matrix-4315, plain, ( ( c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral)) )).
% 19.53/19.77 cnf(matrix-4316, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u7205), _u7207)) | ( c_Random_Ominus__shift(_u7209, _u7205, _u7207) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u7209), _u7205)), _u7207)) )).
% 19.53/19.77 cnf(matrix-4317, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u7206), _u7208)) | ( c_Random_Ominus__shift(_u7210, _u7206, _u7208) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u7206), _u7208)) )).
% 19.53/19.77 cnf(matrix-4318, plain, ( ( _u7213 != _u7215) | ( c_Random_Oinc__shift(_u7213, _u7215) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) )).
% 19.53/19.77 cnf(matrix-4319, plain, ( ( _u7214 = _u7216) | ( c_Random_Oinc__shift(_u7214, _u7216) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u7216), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 19.53/19.77 cnf(matrix-4320, plain, ( ( _u7219 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u7218, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7218, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7218, tc_HOL_Obool), _u7219)), _u7220)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u7218, tc_HOL_Obool)), skolem146(_u7220, _u7219, _u7218)), _u7219)) )).
% 19.53/19.77 cnf(matrix-4321, plain, ( ( _u7219 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u7218, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7218, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7218, tc_HOL_Obool), _u7219)), _u7220)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7218, tc_HOL_Obool)), skolem146(_u7220, _u7219, _u7218)), _u7220)) )).
% 19.53/19.77 cnf(matrix-4322, plain, ( hBOOL(hAPP(hAPP(c_member(_u7222), _u7224), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7222, tc_HOL_Obool), _u7223))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u7222, tc_HOL_Obool)), skolem147(_u7224, _u7223, _u7222)), _u7223)) )).
% 19.53/19.77 cnf(matrix-4323, plain, ( hBOOL(hAPP(hAPP(c_member(_u7222), _u7224), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u7222, tc_HOL_Obool), _u7223))) | ~hBOOL(hAPP(hAPP(c_member(_u7222), _u7224), skolem147(_u7224, _u7223, _u7222))) )).
% 19.53/19.77 cnf(matrix-4324, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7225))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7225)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7225)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7225)))) )).
% 19.53/19.77 cnf(matrix-4325, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7225))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7225)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7225)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7225)), c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7225))))) )).
% 19.53/19.77 cnf(matrix-4326, plain, ( ( c_Nat_Onat_Onat__size(hAPP(c_Nat_OSuc, _u7226)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Nat_Onat_Onat__size(_u7226)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 19.53/19.77 cnf(matrix-4327, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7229), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7231)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7229)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7231)) )).
% 19.53/19.77 cnf(matrix-4328, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7230), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7232)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7230)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7232), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7230)))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_Int_Oint), c_If(tc_Nat_Onat)), c_Nat__Numeral_Oneg)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Int_Onat))) )).
% 19.53/19.77 cnf(matrix-4329, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u7233, _u7234, _u7235, c_Code__Numeral_OSuc__code__numeral(_u7236)) = hAPP(hAPP(_u7235, _u7236), c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u7233, _u7234, _u7235, _u7236))) )).
% 19.53/19.77 cnf(matrix-4330, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7237) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7237), hAPP(c_Groups_Oabs__class_Oabs(_u7237), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7238, _u7237), _u7239), _u7240))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7238, _u7237), hAPP(hAPP(c_COMBB(_u7237, _u7237, _u7238), c_Groups_Oabs__class_Oabs(_u7237)), _u7239)), _u7240))) )).
% 19.53/19.77 cnf(matrix-4331, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7241) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7241), c_Groups_Ozero__class_Ozero(_u7241)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7242, _u7241), hAPP(hAPP(c_COMBB(_u7241, _u7241, _u7242), c_Groups_Oabs__class_Oabs(_u7241)), _u7243)), _u7244))) )).
% 19.53/19.77 cnf(matrix-4332, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7245) | ~class_Rings_Oring__1(_u7245) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7245), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7246, tc_Int_Oint), _u7247), _u7248)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7246, _u7245), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u7245, _u7246), c_Int_Oring__1__class_Oof__int(_u7245)), _u7247)), _u7248)) )).
% 19.53/19.77 cnf(matrix-4333, plain, ( ~class_Rings_Oring__1(_u7249) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7249), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7250, tc_Int_Oint), _u7251), _u7252)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7250, _u7249), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u7249, _u7250), c_Int_Oring__1__class_Oof__int(_u7249)), _u7251)), _u7252)) )).
% 19.53/19.77 cnf(matrix-4334, plain, ( ~class_Groups_Ouminus(_u7253) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7254, _u7253)), _u7255), _u7256) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7253), hAPP(_u7255, _u7256))) )).
% 19.53/19.77 cnf(matrix-4335, plain, ( ~class_Groups_Oab__group__add(_u7257) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7258, _u7257), hAPP(hAPP(c_COMBB(_u7257, _u7257, _u7258), c_Groups_Ouminus__class_Ouminus(_u7257)), _u7259)), _u7260) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7257), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7258, _u7257), _u7259), _u7260))) )).
% 19.53/19.77 cnf(matrix-4336, plain, ( ( hAPP(c_Finite__Set_Ofold__image(_u7261, _u7262, _u7263), _u7264) = c_Finite__Set_Ofold(_u7262, _u7261, hAPP(hAPP(c_COMBB(_u7261, tc_fun(_u7261, _u7261), _u7262), _u7263), _u7264))) )).
% 19.53/19.77 cnf(matrix-4337, plain, ( ~class_Lattices_Olattice(_u7265) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7266, _u7265)), _u7267), _u7268), _u7269) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7265), hAPP(_u7267, _u7269)), hAPP(_u7268, _u7269))) )).
% 19.53/19.77 cnf(matrix-4338, plain, ( ~class_Lattices_Olattice(_u7270) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7271, _u7270)), _u7272), _u7273), _u7274) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7270), hAPP(_u7272, _u7274)), hAPP(_u7273, _u7274))) )).
% 19.53/19.77 cnf(matrix-4339, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7275) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7276, _u7275), hAPP(hAPP(c_COMBS(_u7276, _u7275, _u7275), hAPP(hAPP(c_COMBB(_u7275, tc_fun(_u7275, _u7275), _u7276), c_Groups_Otimes__class_Otimes(_u7275)), _u7277)), _u7278)), _u7279) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7275), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7276, _u7275), _u7277), _u7279)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7276, _u7275), _u7278), _u7279))) )).
% 19.53/19.77 cnf(matrix-4340, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7280) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7281, _u7280), hAPP(c_COMBK(_u7280, _u7281), c_Groups_Oone__class_Oone(_u7280))), _u7282) = c_Groups_Oone__class_Oone(_u7280)) )).
% 19.53/19.77 cnf(matrix-4341, plain, ( ~class_Fields_Ofield(_u7283) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7283), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7284, _u7283), _u7285), _u7286)), _u7287) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7284, _u7283), hAPP(hAPP(c_COMBC(_u7284, _u7283, _u7283), hAPP(hAPP(c_COMBB(_u7283, tc_fun(_u7283, _u7283), _u7284), c_Rings_Oinverse__class_Odivide(_u7283)), _u7285)), _u7287)), _u7286)) )).
% 19.53/19.77 cnf(matrix-4342, plain, ( ~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u7290, tc_HOL_Obool)), _u7292)) | hBOOL(hAPP(hAPP(c_member(_u7290), _u7292), c_Orderings_Obot__class_Obot(tc_fun(_u7290, tc_HOL_Obool)))) )).
% 19.53/19.77 cnf(matrix-4343, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7291), _u7293), c_Orderings_Obot__class_Obot(tc_fun(_u7291, tc_HOL_Obool)))) | hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u7291, tc_HOL_Obool)), _u7293)) )).
% 19.53/19.77 cnf(matrix-4344, plain, ( ~class_Orderings_Obot(_u7294) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u7295, _u7294)), _u7296) = c_Orderings_Obot__class_Obot(_u7294)) )).
% 19.53/19.77 cnf(matrix-4345, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7301, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u7301, tc_fun(_u7301, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7301)), _u7303)), hAPP(hAPP(c_COMBC(_u7301, tc_fun(_u7301, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7301)), _u7305)), _u7307)) | hBOOL(hAPP(hAPP(c_member(_u7301), _u7307), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7301, tc_HOL_Obool)), _u7303), _u7305))) )).
% 19.53/19.77 cnf(matrix-4346, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7302), _u7308), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7302, tc_HOL_Obool)), _u7304), _u7306))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7302, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u7302, tc_fun(_u7302, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7302)), _u7304)), hAPP(hAPP(c_COMBC(_u7302, tc_fun(_u7302, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7302)), _u7306)), _u7308)) )).
% 19.53/19.77 cnf(matrix-4347, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7313, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u7313, tc_fun(_u7313, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7313)), _u7315)), hAPP(hAPP(c_COMBC(_u7313, tc_fun(_u7313, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7313)), _u7317)), _u7319)) | hBOOL(hAPP(hAPP(c_member(_u7313), _u7319), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7313, tc_HOL_Obool)), _u7315), _u7317))) )).
% 19.53/19.77 cnf(matrix-4348, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7314), _u7320), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7314, tc_HOL_Obool)), _u7316), _u7318))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7314, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u7314, tc_fun(_u7314, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7314)), _u7316)), hAPP(hAPP(c_COMBC(_u7314, tc_fun(_u7314, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7314)), _u7318)), _u7320)) )).
% 19.53/19.77 cnf(matrix-4349, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u7325, tc_fun(_u7327, tc_HOL_Obool))), _u7329), _u7331)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7325, _u7327)), hAPP(hAPP(c_Product__Type_OPair(_u7325, _u7327), _u7329), _u7331)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u7325, _u7327), tc_HOL_Obool)))) )).
% 19.53/19.77 cnf(matrix-4350, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7326, _u7328)), hAPP(hAPP(c_Product__Type_OPair(_u7326, _u7328), _u7330), _u7332)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u7326, _u7328), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u7326, tc_fun(_u7328, tc_HOL_Obool))), _u7330), _u7332)) )).
% 19.53/19.77 cnf(matrix-4351, plain, ( ~class_Groups_Ocomm__monoid__add(_u7333) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7334, _u7333), hAPP(hAPP(c_COMBC(_u7334, tc_fun(_u7335, tc_HOL_Obool), _u7333), hAPP(hAPP(c_COMBB(tc_fun(_u7335, _u7333), tc_fun(tc_fun(_u7335, tc_HOL_Obool), _u7333), _u7334), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7335, _u7333)), _u7336)), _u7337)), _u7338) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7335, _u7333), hAPP(hAPP(c_COMBC(_u7335, tc_fun(_u7334, tc_HOL_Obool), _u7333), hAPP(hAPP(c_COMBB(tc_fun(_u7334, _u7333), tc_fun(tc_fun(_u7334, tc_HOL_Obool), _u7333), _u7335), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7334, _u7333)), hAPP(c_COMBC(_u7334, _u7335, _u7333), _u7336))), _u7338)), _u7337)) )).
% 19.53/19.77 cnf(matrix-4352, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u7339, _u7340, _u7341) | c_Finite__Set_Ofun__left__comm__idem(_u7342, _u7340, hAPP(hAPP(c_COMBB(_u7339, tc_fun(_u7340, _u7340), _u7342), _u7341), _u7343)) )).
% 19.53/19.77 cnf(matrix-4353, plain, ( ~c_Finite__Set_Ofun__left__comm(_u7344, _u7345, _u7346) | c_Finite__Set_Ofun__left__comm(_u7347, _u7345, hAPP(hAPP(c_COMBB(_u7344, tc_fun(_u7345, _u7345), _u7347), _u7346), _u7348)) )).
% 19.53/19.77 cnf(matrix-4354, plain, ( ( _u7354 = _u7356) | ( hAPP(hAPP(c_COMBC(_u7352, tc_fun(_u7352, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7352)), _u7354) != hAPP(hAPP(c_COMBC(_u7352, tc_fun(_u7352, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7352)), _u7356)) )).
% 19.53/19.77 cnf(matrix-4355, plain, ( ( _u7355 != _u7357) | ( hAPP(hAPP(c_COMBC(_u7353, tc_fun(_u7353, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7353)), _u7355) = hAPP(hAPP(c_COMBC(_u7353, tc_fun(_u7353, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7353)), _u7357)) )).
% 19.53/19.77 cnf(matrix-4356, plain, ( ( _u7366 = _u7368) | ( hAPP(hAPP(c_COMBC(_u7362, tc_fun(tc_prod(_u7362, _u7364), tc_HOL_Obool), tc_fun(_u7364, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7364, tc_fun(tc_fun(tc_prod(_u7362, _u7364), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7362, _u7364), tc_HOL_Obool), tc_fun(_u7364, tc_HOL_Obool)), _u7362), c_COMBC(_u7364, tc_fun(tc_prod(_u7362, _u7364), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7364, tc_prod(_u7362, _u7364)), tc_fun(_u7364, tc_fun(tc_fun(tc_prod(_u7362, _u7364), tc_HOL_Obool), tc_HOL_Obool)), _u7362), hAPP(c_COMBB(tc_prod(_u7362, _u7364), tc_fun(tc_fun(tc_prod(_u7362, _u7364), tc_HOL_Obool), tc_HOL_Obool), _u7364), c_member(tc_prod(_u7362, _u7364)))), c_Product__Type_OPair(_u7362, _u7364)))), _u7366) != hAPP(hAPP(c_COMBC(_u7362, tc_fun(tc_prod(_u7362, _u7364), tc_HOL_Obool), tc_fun(_u7364, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7364, tc_fun(tc_fun(tc_prod(_u7362, _u7364), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7362, _u7364), tc_HOL_Obool), tc_fun(_u7364, tc_HOL_Obool)), _u7362), c_COMBC(_u7364, tc_fun(tc_prod(_u7362, _u7364), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7364, tc_prod(_u7362, _u7364)), tc_fun(_u7364, tc_fun(tc_fun(tc_prod(_u7362, _u7364), tc_HOL_Obool), tc_HOL_Obool)), _u7362), hAPP(c_COMBB(tc_prod(_u7362, _u7364), tc_fun(tc_fun(tc_prod(_u7362, _u7364), tc_HOL_Obool), tc_HOL_Obool), _u7364), c_member(tc_prod(_u7362, _u7364)))), c_Product__Type_OPair(_u7362, _u7364)))), _u7368)) )).
% 19.53/19.77 cnf(matrix-4357, plain, ( ( _u7367 != _u7369) | ( hAPP(hAPP(c_COMBC(_u7363, tc_fun(tc_prod(_u7363, _u7365), tc_HOL_Obool), tc_fun(_u7365, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7365, tc_fun(tc_fun(tc_prod(_u7363, _u7365), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7363, _u7365), tc_HOL_Obool), tc_fun(_u7365, tc_HOL_Obool)), _u7363), c_COMBC(_u7365, tc_fun(tc_prod(_u7363, _u7365), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7365, tc_prod(_u7363, _u7365)), tc_fun(_u7365, tc_fun(tc_fun(tc_prod(_u7363, _u7365), tc_HOL_Obool), tc_HOL_Obool)), _u7363), hAPP(c_COMBB(tc_prod(_u7363, _u7365), tc_fun(tc_fun(tc_prod(_u7363, _u7365), tc_HOL_Obool), tc_HOL_Obool), _u7365), c_member(tc_prod(_u7363, _u7365)))), c_Product__Type_OPair(_u7363, _u7365)))), _u7367) = hAPP(hAPP(c_COMBC(_u7363, tc_fun(tc_prod(_u7363, _u7365), tc_HOL_Obool), tc_fun(_u7365, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7365, tc_fun(tc_fun(tc_prod(_u7363, _u7365), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7363, _u7365), tc_HOL_Obool), tc_fun(_u7365, tc_HOL_Obool)), _u7363), c_COMBC(_u7365, tc_fun(tc_prod(_u7363, _u7365), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7365, tc_prod(_u7363, _u7365)), tc_fun(_u7365, tc_fun(tc_fun(tc_prod(_u7363, _u7365), tc_HOL_Obool), tc_HOL_Obool)), _u7363), hAPP(c_COMBB(tc_prod(_u7363, _u7365), tc_fun(tc_fun(tc_prod(_u7363, _u7365), tc_HOL_Obool), tc_HOL_Obool), _u7365), c_member(tc_prod(_u7363, _u7365)))), c_Product__Type_OPair(_u7363, _u7365)))), _u7369)) )).
% 19.53/19.77 cnf(matrix-4358, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7376, tc_fun(_u7378, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u7376, tc_fun(tc_prod(_u7376, _u7378), tc_HOL_Obool), tc_fun(_u7378, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7378, tc_fun(tc_fun(tc_prod(_u7376, _u7378), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7376, _u7378), tc_HOL_Obool), tc_fun(_u7378, tc_HOL_Obool)), _u7376), c_COMBC(_u7378, tc_fun(tc_prod(_u7376, _u7378), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7378, tc_prod(_u7376, _u7378)), tc_fun(_u7378, tc_fun(tc_fun(tc_prod(_u7376, _u7378), tc_HOL_Obool), tc_HOL_Obool)), _u7376), hAPP(c_COMBB(tc_prod(_u7376, _u7378), tc_fun(tc_fun(tc_prod(_u7376, _u7378), tc_HOL_Obool), tc_HOL_Obool), _u7378), c_member(tc_prod(_u7376, _u7378)))), c_Product__Type_OPair(_u7376, _u7378)))), _u7380)), hAPP(hAPP(c_COMBC(_u7376, tc_fun(tc_prod(_u7376, _u7378), tc_HOL_Obool), tc_fun(_u7378, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7378, tc_fun(tc_fun(tc_prod(_u7376, _u7378), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7376, _u7378), tc_HOL_Obool), tc_fun(_u7378, tc_HOL_Obool)), _u7376), c_COMBC(_u7378, tc_fun(tc_prod(_u7376, _u7378), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7378, tc_prod(_u7376, _u7378)), tc_fun(_u7378, tc_fun(tc_fun(tc_prod(_u7376, _u7378), tc_HOL_Obool), tc_HOL_Obool)), _u7376), hAPP(c_COMBB(tc_prod(_u7376, _u7378), tc_fun(tc_fun(tc_prod(_u7376, _u7378), tc_HOL_Obool), tc_HOL_Obool), _u7378), c_member(tc_prod(_u7376, _u7378)))), c_Product__Type_OPair(_u7376, _u7378)))), _u7382)), _u7384), _u7386)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7376, _u7378)), hAPP(hAPP(c_Product__Type_OPair(_u7376, _u7378), _u7384), _u7386)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u7376, _u7378), tc_HOL_Obool)), _u7380), _u7382))) )).
% 19.53/19.77 cnf(matrix-4359, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7377, _u7379)), hAPP(hAPP(c_Product__Type_OPair(_u7377, _u7379), _u7385), _u7387)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u7377, _u7379), tc_HOL_Obool)), _u7381), _u7383))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7377, tc_fun(_u7379, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u7377, tc_fun(tc_prod(_u7377, _u7379), tc_HOL_Obool), tc_fun(_u7379, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7379, tc_fun(tc_fun(tc_prod(_u7377, _u7379), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7377, _u7379), tc_HOL_Obool), tc_fun(_u7379, tc_HOL_Obool)), _u7377), c_COMBC(_u7379, tc_fun(tc_prod(_u7377, _u7379), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7379, tc_prod(_u7377, _u7379)), tc_fun(_u7379, tc_fun(tc_fun(tc_prod(_u7377, _u7379), tc_HOL_Obool), tc_HOL_Obool)), _u7377), hAPP(c_COMBB(tc_prod(_u7377, _u7379), tc_fun(tc_fun(tc_prod(_u7377, _u7379), tc_HOL_Obool), tc_HOL_Obool), _u7379), c_member(tc_prod(_u7377, _u7379)))), c_Product__Type_OPair(_u7377, _u7379)))), _u7381)), hAPP(hAPP(c_COMBC(_u7377, tc_fun(tc_prod(_u7377, _u7379), tc_HOL_Obool), tc_fun(_u7379, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7379, tc_fun(tc_fun(tc_prod(_u7377, _u7379), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7377, _u7379), tc_HOL_Obool), tc_fun(_u7379, tc_HOL_Obool)), _u7377), c_COMBC(_u7379, tc_fun(tc_prod(_u7377, _u7379), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7379, tc_prod(_u7377, _u7379)), tc_fun(_u7379, tc_fun(tc_fun(tc_prod(_u7377, _u7379), tc_HOL_Obool), tc_HOL_Obool)), _u7377), hAPP(c_COMBB(tc_prod(_u7377, _u7379), tc_fun(tc_fun(tc_prod(_u7377, _u7379), tc_HOL_Obool), tc_HOL_Obool), _u7379), c_member(tc_prod(_u7377, _u7379)))), c_Product__Type_OPair(_u7377, _u7379)))), _u7383)), _u7385), _u7387)) )).
% 19.53/19.77 cnf(matrix-4360, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7394, tc_fun(_u7396, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u7394, tc_fun(tc_prod(_u7394, _u7396), tc_HOL_Obool), tc_fun(_u7396, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7396, tc_fun(tc_fun(tc_prod(_u7394, _u7396), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7394, _u7396), tc_HOL_Obool), tc_fun(_u7396, tc_HOL_Obool)), _u7394), c_COMBC(_u7396, tc_fun(tc_prod(_u7394, _u7396), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7396, tc_prod(_u7394, _u7396)), tc_fun(_u7396, tc_fun(tc_fun(tc_prod(_u7394, _u7396), tc_HOL_Obool), tc_HOL_Obool)), _u7394), hAPP(c_COMBB(tc_prod(_u7394, _u7396), tc_fun(tc_fun(tc_prod(_u7394, _u7396), tc_HOL_Obool), tc_HOL_Obool), _u7396), c_member(tc_prod(_u7394, _u7396)))), c_Product__Type_OPair(_u7394, _u7396)))), _u7398)), hAPP(hAPP(c_COMBC(_u7394, tc_fun(tc_prod(_u7394, _u7396), tc_HOL_Obool), tc_fun(_u7396, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7396, tc_fun(tc_fun(tc_prod(_u7394, _u7396), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7394, _u7396), tc_HOL_Obool), tc_fun(_u7396, tc_HOL_Obool)), _u7394), c_COMBC(_u7396, tc_fun(tc_prod(_u7394, _u7396), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7396, tc_prod(_u7394, _u7396)), tc_fun(_u7396, tc_fun(tc_fun(tc_prod(_u7394, _u7396), tc_HOL_Obool), tc_HOL_Obool)), _u7394), hAPP(c_COMBB(tc_prod(_u7394, _u7396), tc_fun(tc_fun(tc_prod(_u7394, _u7396), tc_HOL_Obool), tc_HOL_Obool), _u7396), c_member(tc_prod(_u7394, _u7396)))), c_Product__Type_OPair(_u7394, _u7396)))), _u7400)), _u7402), _u7404)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7394, _u7396)), hAPP(hAPP(c_Product__Type_OPair(_u7394, _u7396), _u7402), _u7404)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u7394, _u7396), tc_HOL_Obool)), _u7398), _u7400))) )).
% 19.53/19.77 cnf(matrix-4361, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7395, _u7397)), hAPP(hAPP(c_Product__Type_OPair(_u7395, _u7397), _u7403), _u7405)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u7395, _u7397), tc_HOL_Obool)), _u7399), _u7401))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7395, tc_fun(_u7397, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u7395, tc_fun(tc_prod(_u7395, _u7397), tc_HOL_Obool), tc_fun(_u7397, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7397, tc_fun(tc_fun(tc_prod(_u7395, _u7397), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7395, _u7397), tc_HOL_Obool), tc_fun(_u7397, tc_HOL_Obool)), _u7395), c_COMBC(_u7397, tc_fun(tc_prod(_u7395, _u7397), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7397, tc_prod(_u7395, _u7397)), tc_fun(_u7397, tc_fun(tc_fun(tc_prod(_u7395, _u7397), tc_HOL_Obool), tc_HOL_Obool)), _u7395), hAPP(c_COMBB(tc_prod(_u7395, _u7397), tc_fun(tc_fun(tc_prod(_u7395, _u7397), tc_HOL_Obool), tc_HOL_Obool), _u7397), c_member(tc_prod(_u7395, _u7397)))), c_Product__Type_OPair(_u7395, _u7397)))), _u7399)), hAPP(hAPP(c_COMBC(_u7395, tc_fun(tc_prod(_u7395, _u7397), tc_HOL_Obool), tc_fun(_u7397, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7397, tc_fun(tc_fun(tc_prod(_u7395, _u7397), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7395, _u7397), tc_HOL_Obool), tc_fun(_u7397, tc_HOL_Obool)), _u7395), c_COMBC(_u7397, tc_fun(tc_prod(_u7395, _u7397), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7397, tc_prod(_u7395, _u7397)), tc_fun(_u7397, tc_fun(tc_fun(tc_prod(_u7395, _u7397), tc_HOL_Obool), tc_HOL_Obool)), _u7395), hAPP(c_COMBB(tc_prod(_u7395, _u7397), tc_fun(tc_fun(tc_prod(_u7395, _u7397), tc_HOL_Obool), tc_HOL_Obool), _u7397), c_member(tc_prod(_u7395, _u7397)))), c_Product__Type_OPair(_u7395, _u7397)))), _u7401)), _u7403), _u7405)) )).
% 19.53/19.77 cnf(matrix-4362, plain, ( ~class_Rings_Osemiring__0(_u7406) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7406), _u7407), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7408, _u7406), _u7409), _u7410)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7408, _u7406), hAPP(hAPP(c_COMBB(_u7406, _u7406, _u7408), hAPP(c_Groups_Otimes__class_Otimes(_u7406), _u7407)), _u7409)), _u7410)) )).
% 19.53/19.77 cnf(matrix-4363, plain, ( ~class_Rings_Osemiring__0(_u7411) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7411), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7412, _u7411), _u7413), _u7414)), _u7415) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7412, _u7411), hAPP(hAPP(c_COMBC(_u7412, _u7411, _u7411), hAPP(hAPP(c_COMBB(_u7411, tc_fun(_u7411, _u7411), _u7412), c_Groups_Otimes__class_Otimes(_u7411)), _u7413)), _u7415)), _u7414)) )).
% 19.53/19.77 cnf(matrix-4364, plain, ( ~class_Rings_Osemiring__0(_u7416) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7416), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7417, _u7416), _u7418), _u7419)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7420, _u7416), _u7421), _u7422)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7417, _u7416), hAPP(hAPP(c_COMBC(_u7417, tc_fun(_u7420, tc_HOL_Obool), _u7416), hAPP(hAPP(c_COMBB(tc_fun(_u7420, _u7416), tc_fun(tc_fun(_u7420, tc_HOL_Obool), _u7416), _u7417), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7420, _u7416)), hAPP(hAPP(c_COMBC(_u7417, tc_fun(_u7420, _u7416), tc_fun(_u7420, _u7416)), hAPP(hAPP(c_COMBB(tc_fun(_u7416, _u7416), tc_fun(tc_fun(_u7420, _u7416), tc_fun(_u7420, _u7416)), _u7417), c_COMBB(_u7416, _u7416, _u7420)), hAPP(hAPP(c_COMBB(_u7416, tc_fun(_u7416, _u7416), _u7417), c_Groups_Otimes__class_Otimes(_u7416)), _u7418))), _u7421))), _u7422)), _u7419)) )).
% 19.53/19.77 cnf(matrix-4365, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7423, tc_Nat_Onat), _u7424), _u7425)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7423, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u7423), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7424)), _u7425)) )).
% 19.53/19.77 cnf(matrix-4366, plain, ( ~class_Fields_Olinordered__field(_u7426) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7426), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7427, _u7426), _u7428), _u7429)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7427, _u7426), hAPP(hAPP(c_COMBB(_u7426, _u7426, _u7427), c_Groups_Oabs__class_Oabs(_u7426)), _u7428)), _u7429)) )).
% 19.53/19.77 cnf(matrix-4367, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7430) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7430), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7431, _u7430), hAPP(hAPP(c_COMBB(_u7430, _u7430, _u7431), c_Groups_Oabs__class_Oabs(_u7430)), _u7432)), _u7433)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7431, _u7430), hAPP(hAPP(c_COMBB(_u7430, _u7430, _u7431), c_Groups_Oabs__class_Oabs(_u7430)), _u7432)), _u7433)) )).
% 19.53/19.77 cnf(matrix-4368, plain, ( ~class_Groups_Ocomm__monoid__add(_u7434) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7435, _u7434), hAPP(c_COMBK(_u7434, _u7435), c_Groups_Ozero__class_Ozero(_u7434))), _u7436) = c_Groups_Ozero__class_Ozero(_u7434)) )).
% 19.53/19.77 cnf(matrix-4369, plain, ( ~class_Groups_Ominus(_u7437) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7438, _u7437)), _u7439), _u7440), _u7441) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7437), hAPP(_u7439, _u7441)), hAPP(_u7440, _u7441))) )).
% 19.53/19.77 cnf(matrix-4370, plain, ( ~class_Groups_Oab__group__add(_u7442) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7443, _u7442), hAPP(hAPP(c_COMBS(_u7443, _u7442, _u7442), hAPP(hAPP(c_COMBB(_u7442, tc_fun(_u7442, _u7442), _u7443), c_Groups_Ominus__class_Ominus(_u7442)), _u7444)), _u7445)), _u7446) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7442), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7443, _u7442), _u7444), _u7446)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7443, _u7442), _u7445), _u7446))) )).
% 19.53/19.77 cnf(matrix-4371, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7447, tc_Nat_Onat), _u7448), _u7449)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7447, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u7447), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7448)), _u7449)) )).
% 19.53/19.77 cnf(matrix-4372, plain, ( ~class_Groups_Ocomm__monoid__add(_u7450) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7451, _u7450), hAPP(hAPP(c_COMBS(_u7451, _u7450, _u7450), hAPP(hAPP(c_COMBB(_u7450, tc_fun(_u7450, _u7450), _u7451), c_Groups_Oplus__class_Oplus(_u7450)), _u7452)), _u7453)), _u7454) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7450), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7451, _u7450), _u7452), _u7454)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7451, _u7450), _u7453), _u7454))) )).
% 19.53/19.77 cnf(matrix-4373, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7459, tc_fun(_u7461, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u7459, tc_fun(tc_prod(_u7459, _u7461), tc_HOL_Obool), tc_fun(_u7461, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7461, tc_fun(tc_fun(tc_prod(_u7459, _u7461), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7459, _u7461), tc_HOL_Obool), tc_fun(_u7461, tc_HOL_Obool)), _u7459), c_COMBC(_u7461, tc_fun(tc_prod(_u7459, _u7461), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7461, tc_prod(_u7459, _u7461)), tc_fun(_u7461, tc_fun(tc_fun(tc_prod(_u7459, _u7461), tc_HOL_Obool), tc_HOL_Obool)), _u7459), hAPP(c_COMBB(tc_prod(_u7459, _u7461), tc_fun(tc_fun(tc_prod(_u7459, _u7461), tc_HOL_Obool), tc_HOL_Obool), _u7461), c_member(tc_prod(_u7459, _u7461)))), c_Product__Type_OPair(_u7459, _u7461)))), _u7463)), hAPP(hAPP(c_COMBC(_u7459, tc_fun(tc_prod(_u7459, _u7461), tc_HOL_Obool), tc_fun(_u7461, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7461, tc_fun(tc_fun(tc_prod(_u7459, _u7461), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7459, _u7461), tc_HOL_Obool), tc_fun(_u7461, tc_HOL_Obool)), _u7459), c_COMBC(_u7461, tc_fun(tc_prod(_u7459, _u7461), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7461, tc_prod(_u7459, _u7461)), tc_fun(_u7461, tc_fun(tc_fun(tc_prod(_u7459, _u7461), tc_HOL_Obool), tc_HOL_Obool)), _u7459), hAPP(c_COMBB(tc_prod(_u7459, _u7461), tc_fun(tc_fun(tc_prod(_u7459, _u7461), tc_HOL_Obool), tc_HOL_Obool), _u7461), c_member(tc_prod(_u7459, _u7461)))), c_Product__Type_OPair(_u7459, _u7461)))), _u7465))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u7459, _u7461), tc_HOL_Obool)), _u7463), _u7465)) )).
% 19.53/19.77 cnf(matrix-4374, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u7460, _u7462), tc_HOL_Obool)), _u7464), _u7466)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7460, tc_fun(_u7462, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u7460, tc_fun(tc_prod(_u7460, _u7462), tc_HOL_Obool), tc_fun(_u7462, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7462, tc_fun(tc_fun(tc_prod(_u7460, _u7462), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7460, _u7462), tc_HOL_Obool), tc_fun(_u7462, tc_HOL_Obool)), _u7460), c_COMBC(_u7462, tc_fun(tc_prod(_u7460, _u7462), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7462, tc_prod(_u7460, _u7462)), tc_fun(_u7462, tc_fun(tc_fun(tc_prod(_u7460, _u7462), tc_HOL_Obool), tc_HOL_Obool)), _u7460), hAPP(c_COMBB(tc_prod(_u7460, _u7462), tc_fun(tc_fun(tc_prod(_u7460, _u7462), tc_HOL_Obool), tc_HOL_Obool), _u7462), c_member(tc_prod(_u7460, _u7462)))), c_Product__Type_OPair(_u7460, _u7462)))), _u7464)), hAPP(hAPP(c_COMBC(_u7460, tc_fun(tc_prod(_u7460, _u7462), tc_HOL_Obool), tc_fun(_u7462, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7462, tc_fun(tc_fun(tc_prod(_u7460, _u7462), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u7460, _u7462), tc_HOL_Obool), tc_fun(_u7462, tc_HOL_Obool)), _u7460), c_COMBC(_u7462, tc_fun(tc_prod(_u7460, _u7462), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7462, tc_prod(_u7460, _u7462)), tc_fun(_u7462, tc_fun(tc_fun(tc_prod(_u7460, _u7462), tc_HOL_Obool), tc_HOL_Obool)), _u7460), hAPP(c_COMBB(tc_prod(_u7460, _u7462), tc_fun(tc_fun(tc_prod(_u7460, _u7462), tc_HOL_Obool), tc_HOL_Obool), _u7462), c_member(tc_prod(_u7460, _u7462)))), c_Product__Type_OPair(_u7460, _u7462)))), _u7466))) )).
% 19.53/19.77 cnf(matrix-4375, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7470, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u7470, tc_fun(_u7470, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7470)), _u7472)), hAPP(hAPP(c_COMBC(_u7470, tc_fun(_u7470, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7470)), _u7474))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7470, tc_HOL_Obool)), _u7472), _u7474)) )).
% 19.53/19.77 cnf(matrix-4376, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7471, tc_HOL_Obool)), _u7473), _u7475)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7471, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u7471, tc_fun(_u7471, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7471)), _u7473)), hAPP(hAPP(c_COMBC(_u7471, tc_fun(_u7471, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7471)), _u7475))) )).
% 19.53/19.77 cnf(matrix-4377, plain, ( ~class_Groups_Ocomm__monoid__add(_u7476) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7477), _u7478)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7477, _u7476), hAPP(hAPP(c_COMBS(_u7477, _u7476, _u7476), hAPP(hAPP(c_COMBB(_u7476, tc_fun(_u7476, _u7476), _u7477), c_Groups_Oplus__class_Oplus(_u7476)), _u7479)), _u7480)), _u7478) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7476), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7477, _u7476), _u7479), _u7478)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7477, _u7476), _u7480), _u7478))) )).
% 19.53/19.77 cnf(matrix-4378, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7481) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7482), _u7483)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7482, _u7481), hAPP(hAPP(c_COMBS(_u7482, _u7481, _u7481), hAPP(hAPP(c_COMBB(_u7481, tc_fun(_u7481, _u7481), _u7482), c_Groups_Otimes__class_Otimes(_u7481)), _u7484)), _u7485)), _u7483) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7481), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7482, _u7481), _u7484), _u7483)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7482, _u7481), _u7485), _u7483))) )).
% 19.53/19.77 cnf(matrix-4379, plain, ( ( hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7486) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7486))) )).
% 19.53/19.77 cnf(matrix-4380, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u7487)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7487)), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_COMBI(tc_Nat_Onat)))) )).
% 19.53/19.77 cnf(matrix-4381, plain, ( ~class_Fields_Ofield__inverse__zero(_u7488) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7489), _u7490)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7489, _u7488), hAPP(hAPP(c_COMBS(_u7489, _u7488, _u7488), hAPP(hAPP(c_COMBB(_u7488, tc_fun(_u7488, _u7488), _u7489), c_Rings_Oinverse__class_Odivide(_u7488)), _u7491)), _u7492)), _u7490) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u7488), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7489, _u7488), _u7491), _u7490)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7489, _u7488), _u7492), _u7490))) )).
% 19.53/19.77 cnf(matrix-4382, plain, ( ( c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-4383, plain, ( ~class_Rings_Osemiring__1(_u7493) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7493), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7494, tc_Nat_Onat), _u7495), _u7496)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7494, _u7493), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7493, _u7494), c_Nat_Osemiring__1__class_Oof__nat(_u7493)), _u7495)), _u7496)) )).
% 19.53/19.77 cnf(matrix-4384, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7497, tc_Nat_Onat), _u7498), _u7499) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7497, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u7497), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7498)), _u7499))) )).
% 19.53/19.77 cnf(matrix-4385, plain, ( ( hAPP(c_Finite__Set_Ocard(_u7500), _u7501) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7500, tc_Nat_Onat), hAPP(c_COMBK(tc_Nat_Onat, _u7500), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u7501)) )).
% 19.53/19.77 cnf(matrix-4386, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7502) | ~class_Rings_Osemiring__1(_u7502) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7502), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7503, tc_Nat_Onat), _u7504), _u7505)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7503, _u7502), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7502, _u7503), c_Nat_Osemiring__1__class_Oof__nat(_u7502)), _u7504)), _u7505)) )).
% 19.53/19.77 cnf(matrix-4387, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7506, tc_Nat_Onat), _u7507), _u7508) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7506, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u7506), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7507)), _u7508))) )).
% 19.53/19.77 cnf(matrix-4388, plain, ( ~class_Groups_Ocomm__monoid__add(_u7509) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7510), _u7511)) | ~hBOOL(hAPP(hAPP(c_member(_u7510), _u7512), _u7511)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7510, _u7509), hAPP(hAPP(c_COMBC(_u7510, _u7509, _u7509), hAPP(hAPP(c_COMBS(_u7510, _u7509, tc_fun(_u7509, _u7509)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7509, tc_fun(_u7509, _u7509)), _u7510), c_If(_u7509)), hAPP(c_fequal, _u7512))), _u7513)), c_Groups_Ozero__class_Ozero(_u7509))), _u7511) = hAPP(_u7513, _u7512)) )).
% 19.53/19.77 cnf(matrix-4389, plain, ( ~class_Groups_Ocomm__monoid__add(_u7509) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7510), _u7511)) | hBOOL(hAPP(hAPP(c_member(_u7510), _u7512), _u7511)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7510, _u7509), hAPP(hAPP(c_COMBC(_u7510, _u7509, _u7509), hAPP(hAPP(c_COMBS(_u7510, _u7509, tc_fun(_u7509, _u7509)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7509, tc_fun(_u7509, _u7509)), _u7510), c_If(_u7509)), hAPP(c_fequal, _u7512))), _u7513)), c_Groups_Ozero__class_Ozero(_u7509))), _u7511) = c_Groups_Ozero__class_Ozero(_u7509)) )).
% 19.53/19.77 cnf(matrix-4390, plain, ( ~class_Groups_Ocomm__monoid__add(_u7514) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7515), _u7516)) | ~hBOOL(hAPP(hAPP(c_member(_u7515), _u7517), _u7516)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7515, _u7514), hAPP(hAPP(c_COMBC(_u7515, _u7514, _u7514), hAPP(hAPP(c_COMBS(_u7515, _u7514, tc_fun(_u7514, _u7514)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7514, tc_fun(_u7514, _u7514)), _u7515), c_If(_u7514)), hAPP(hAPP(c_COMBC(_u7515, _u7515, tc_HOL_Obool), c_fequal), _u7517))), _u7518)), c_Groups_Ozero__class_Ozero(_u7514))), _u7516) = hAPP(_u7518, _u7517)) )).
% 19.53/19.77 cnf(matrix-4391, plain, ( ~class_Groups_Ocomm__monoid__add(_u7514) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7515), _u7516)) | hBOOL(hAPP(hAPP(c_member(_u7515), _u7517), _u7516)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7515, _u7514), hAPP(hAPP(c_COMBC(_u7515, _u7514, _u7514), hAPP(hAPP(c_COMBS(_u7515, _u7514, tc_fun(_u7514, _u7514)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7514, tc_fun(_u7514, _u7514)), _u7515), c_If(_u7514)), hAPP(hAPP(c_COMBC(_u7515, _u7515, tc_HOL_Obool), c_fequal), _u7517))), _u7518)), c_Groups_Ozero__class_Ozero(_u7514))), _u7516) = c_Groups_Ozero__class_Ozero(_u7514)) )).
% 19.53/19.77 cnf(matrix-4392, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7519) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7520), _u7521)) | ~hBOOL(hAPP(hAPP(c_member(_u7520), _u7522), _u7521)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7520, _u7519), hAPP(hAPP(c_COMBC(_u7520, _u7519, _u7519), hAPP(hAPP(c_COMBS(_u7520, _u7519, tc_fun(_u7519, _u7519)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7519, tc_fun(_u7519, _u7519)), _u7520), c_If(_u7519)), hAPP(hAPP(c_COMBC(_u7520, _u7520, tc_HOL_Obool), c_fequal), _u7522))), _u7523)), c_Groups_Oone__class_Oone(_u7519))), _u7521) = hAPP(_u7523, _u7522)) )).
% 19.53/19.77 cnf(matrix-4393, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7519) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7520), _u7521)) | hBOOL(hAPP(hAPP(c_member(_u7520), _u7522), _u7521)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7520, _u7519), hAPP(hAPP(c_COMBC(_u7520, _u7519, _u7519), hAPP(hAPP(c_COMBS(_u7520, _u7519, tc_fun(_u7519, _u7519)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7519, tc_fun(_u7519, _u7519)), _u7520), c_If(_u7519)), hAPP(hAPP(c_COMBC(_u7520, _u7520, tc_HOL_Obool), c_fequal), _u7522))), _u7523)), c_Groups_Oone__class_Oone(_u7519))), _u7521) = c_Groups_Oone__class_Oone(_u7519)) )).
% 19.53/19.77 cnf(matrix-4394, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7524) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7525), _u7526)) | ~hBOOL(hAPP(hAPP(c_member(_u7525), _u7527), _u7526)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7525, _u7524), hAPP(hAPP(c_COMBC(_u7525, _u7524, _u7524), hAPP(hAPP(c_COMBS(_u7525, _u7524, tc_fun(_u7524, _u7524)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7524, tc_fun(_u7524, _u7524)), _u7525), c_If(_u7524)), hAPP(c_fequal, _u7527))), _u7528)), c_Groups_Oone__class_Oone(_u7524))), _u7526) = hAPP(_u7528, _u7527)) )).
% 19.53/19.77 cnf(matrix-4395, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7524) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7525), _u7526)) | hBOOL(hAPP(hAPP(c_member(_u7525), _u7527), _u7526)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7525, _u7524), hAPP(hAPP(c_COMBC(_u7525, _u7524, _u7524), hAPP(hAPP(c_COMBS(_u7525, _u7524, tc_fun(_u7524, _u7524)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7524, tc_fun(_u7524, _u7524)), _u7525), c_If(_u7524)), hAPP(c_fequal, _u7527))), _u7528)), c_Groups_Oone__class_Oone(_u7524))), _u7526) = c_Groups_Oone__class_Oone(_u7524)) )).
% 19.53/19.77 cnf(matrix-4396, plain, ( ~class_Rings_Osemiring__1(_u7529) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7530, _u7529), hAPP(c_COMBK(_u7529, _u7530), _u7531)), _u7532) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7529), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7529), hAPP(c_Finite__Set_Ocard(_u7530), _u7532))), _u7531)) )).
% 19.53/19.77 cnf(matrix-4397, plain, ( ~class_Int_Onumber__ring(_u7533) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7533), _u7534), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u7535))) = hAPP(hAPP(c_HOL_OLet(_u7533, _u7533), hAPP(hAPP(c_Power_Opower__class_Opower(_u7533), _u7534), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7535))), hAPP(hAPP(c_COMBS(_u7533, _u7533, _u7533), c_Groups_Otimes__class_Otimes(_u7533)), c_COMBI(_u7533)))) )).
% 19.53/19.77 cnf(matrix-4398, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7536) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7537), _u7538)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u7536, _u7537, c_Groups_Otimes__class_Otimes(_u7536)), hAPP(hAPP(c_COMBS(_u7537, _u7536, _u7536), hAPP(hAPP(c_COMBB(_u7536, tc_fun(_u7536, _u7536), _u7537), c_Groups_Otimes__class_Otimes(_u7536)), _u7539)), _u7540)), c_Groups_Oone__class_Oone(_u7536)), _u7538) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7536), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u7536, _u7537, c_Groups_Otimes__class_Otimes(_u7536)), _u7539), c_Groups_Oone__class_Oone(_u7536)), _u7538)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u7536, _u7537, c_Groups_Otimes__class_Otimes(_u7536)), _u7540), c_Groups_Oone__class_Oone(_u7536)), _u7538))) )).
% 19.53/19.77 cnf(matrix-4399, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7541) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7542), _u7543)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7542, _u7541), hAPP(c_COMBK(_u7541, _u7542), _u7544)), _u7543) = hAPP(hAPP(c_Power_Opower__class_Opower(_u7541), _u7544), hAPP(c_Finite__Set_Ocard(_u7542), _u7543))) )).
% 19.53/19.77 cnf(matrix-4400, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u7545), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u7546))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u7545), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7546))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint), c_Groups_Otimes__class_Otimes(tc_Int_Oint)), c_COMBI(tc_Int_Oint)))) )).
% 19.53/19.77 cnf(matrix-4401, plain, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u7550, hAPP(hAPP(c_COMBC(_u7550, tc_fun(_u7550, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7550)), _u7552)), _u7554)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u7550, tc_HOL_Obool)), _u7554), hAPP(c_Set_OPow(_u7550), _u7552))) )).
% 19.53/19.77 cnf(matrix-4402, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u7551, tc_HOL_Obool)), _u7555), hAPP(c_Set_OPow(_u7551), _u7553))) | hBOOL(hAPP(c_Predicate_OPowp(_u7551, hAPP(hAPP(c_COMBC(_u7551, tc_fun(_u7551, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7551)), _u7553)), _u7555)) )).
% 19.53/19.77 cnf(matrix-4403, plain, ( ~class_Groups_Ocomm__monoid__add(_u7556) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7557), _u7558)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7557, _u7556), _u7559), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7557, tc_HOL_Obool)), _u7558), _u7560)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7557, _u7556), hAPP(hAPP(c_COMBC(_u7557, _u7556, _u7556), hAPP(hAPP(c_COMBS(_u7557, _u7556, tc_fun(_u7556, _u7556)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7556, tc_fun(_u7556, _u7556)), _u7557), c_If(_u7556)), hAPP(hAPP(c_COMBC(_u7557, tc_fun(_u7557, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7557)), _u7560))), _u7559)), c_Groups_Ozero__class_Ozero(_u7556))), _u7558)) )).
% 19.53/19.77 cnf(matrix-4404, plain, ( ~class_Int_Onumber__ring(_u7561) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7561), hAPP(c_Int_Onumber__class_Onumber__of(_u7561), _u7562)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u7563))) = hAPP(hAPP(c_HOL_OLet(_u7561, _u7561), hAPP(hAPP(c_Power_Opower__class_Opower(_u7561), hAPP(c_Int_Onumber__class_Onumber__of(_u7561), _u7562)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7563))), hAPP(hAPP(c_COMBS(_u7561, _u7561, _u7561), c_Groups_Otimes__class_Otimes(_u7561)), c_COMBI(_u7561)))) )).
% 19.53/19.77 cnf(matrix-4405, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7564), _u7565)) | ( hAPP(c_Finite__Set_Ocard(_u7564), _u7565) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u7564, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u7564), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7565)) )).
% 19.53/19.77 cnf(matrix-4406, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7568), _u7570)) | ( hAPP(c_Finite__Set_Ocard(_u7568), _u7570) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u7568, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u7568), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7570)) )).
% 19.53/19.77 cnf(matrix-4407, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u7569), _u7571)) | ( hAPP(c_Finite__Set_Ocard(_u7569), _u7571) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-4408, plain, ( c_Finite__Set_Ofun__left__comm__idem(_u7572, tc_fun(_u7572, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u7572, tc_HOL_Obool), tc_fun(tc_fun(_u7572, tc_HOL_Obool), tc_fun(_u7572, tc_HOL_Obool)), _u7572), hAPP(c_COMBC(tc_fun(_u7572, tc_HOL_Obool), tc_fun(_u7572, tc_HOL_Obool), tc_fun(_u7572, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u7572, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u7572, tc_fun(_u7572, tc_HOL_Obool), tc_fun(_u7572, tc_HOL_Obool)), c_Set_Oinsert(_u7572)), c_Orderings_Obot__class_Obot(tc_fun(_u7572, tc_HOL_Obool))))) )).
% 19.53/19.77 cnf(matrix-4409, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u7575)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u7577)), hAPP(c_Int_Onat, _u7575)) = hAPP(c_Int_Onat, _u7577)) )).
% 19.53/19.77 cnf(matrix-4410, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u7576)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u7578)), hAPP(c_Int_Onat, _u7576)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7578), _u7576)), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_Int_Oint), c_If(tc_Nat_Onat)), c_Nat__Numeral_Oneg)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Int_Onat))) )).
% 19.53/19.77 cnf(matrix-4411, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7579), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7580)) | ( c_Divides_OnegDivAlg(_u7579, _u7580) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7579), _u7580)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7579, _u7580))) )).
% 19.53/19.77 cnf(matrix-4412, plain, ( ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u7581) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7581), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 19.53/19.77 cnf(matrix-4413, plain, ( ( hAPP(c_Divides_Oadjust(_u7582), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7583), _u7584)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7584), _u7582)), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint), tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_prod(tc_Int_Oint, tc_Int_Oint))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_prod(tc_Int_Oint, tc_Int_Oint))), tc_Int_Oint), c_If(tc_prod(tc_Int_Oint, tc_Int_Oint))), hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u7583)), c_Groups_Oone__class_Oone(tc_Int_Oint))))), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u7583)), _u7584)))) )).
% 19.53/19.77 cnf(matrix-4414, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7585), _u7586)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7585, tc_HOL_Obool)), _u7587), _u7586) = hAPP(hAPP(c_Finite__Set_Ofold(_u7585, tc_fun(_u7585, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u7585, tc_HOL_Obool), tc_fun(tc_fun(_u7585, tc_HOL_Obool), tc_fun(_u7585, tc_HOL_Obool)), _u7585), hAPP(c_COMBC(tc_fun(_u7585, tc_HOL_Obool), tc_fun(_u7585, tc_HOL_Obool), tc_fun(_u7585, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u7585, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u7585, tc_fun(_u7585, tc_HOL_Obool), tc_fun(_u7585, tc_HOL_Obool)), c_Set_Oinsert(_u7585)), c_Orderings_Obot__class_Obot(tc_fun(_u7585, tc_HOL_Obool))))), _u7587), _u7586)) )).
% 19.53/19.77 cnf(matrix-4415, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7590) != hAPP(c_Nat_OSuc, _u7592)) | hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_HOL_Obool), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7590))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Int_Oint), c_fequal), c_Int_Onat)), _u7592))))) )).
% 19.53/19.77 cnf(matrix-4416, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_HOL_Obool), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7591))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Int_Oint), c_fequal), c_Int_Onat)), _u7593))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7591) = hAPP(c_Nat_OSuc, _u7593)) )).
% 19.53/19.77 cnf(matrix-4417, plain, ( ( hAPP(c_Nat_OSuc, _u7596) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7598)) | hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_HOL_Obool), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7598))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Int_Oint), c_fequal), c_Int_Onat)), _u7596))))) )).
% 19.53/19.77 cnf(matrix-4418, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_HOL_Obool), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7599))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Int_Oint), c_fequal), c_Int_Onat)), _u7597))))) | ( hAPP(c_Nat_OSuc, _u7597) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7599)) )).
% 19.53/19.77 cnf(matrix-4419, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7601))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u7601)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-4420, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7602))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u7602)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7602)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_COMBI(tc_Nat_Onat))))) )).
% 19.53/19.77 cnf(matrix-4421, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7605)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7607))) | hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_HOL_Obool), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7607))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_Int_Oint), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7605)), c_Int_Onat))))) )).
% 19.53/19.77 cnf(matrix-4422, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_HOL_Obool), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7608))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_Int_Oint), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7606)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7606)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7608))) )).
% 19.53/19.77 cnf(matrix-4423, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7611)), hAPP(c_Nat_OSuc, _u7613))) | hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_HOL_Obool), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7611))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Int_Oint), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), c_Int_Onat)), _u7613)))) )).
% 19.53/19.77 cnf(matrix-4424, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_HOL_Obool), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7612))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Int_Oint), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), c_Int_Onat)), _u7614)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7612)), hAPP(c_Nat_OSuc, _u7614))) )).
% 19.53/19.77 cnf(matrix-4425, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7617)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7619))) | hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_HOL_Obool), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7619))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_Int_Oint), hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7617)), c_Int_Onat))))) )).
% 19.53/19.77 cnf(matrix-4426, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_HOL_Obool), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7620))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_Int_Oint), hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7618)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7618)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7620))) )).
% 19.53/19.77 cnf(matrix-4427, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7623)), hAPP(c_Nat_OSuc, _u7625))) | hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_HOL_Obool), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7623))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Int_Oint), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)), c_Int_Onat)), _u7625)))) )).
% 19.53/19.77 cnf(matrix-4428, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_HOL_Obool), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7624))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), c_fNot), c_Nat__Numeral_Oneg))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Int_Oint), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)), c_Int_Onat)), _u7626)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7624)), hAPP(c_Nat_OSuc, _u7626))) )).
% 19.53/19.77 cnf(matrix-4429, plain, ( ~class_Int_Onumber__ring(_u7627) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7628))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7627), _u7629), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u7628))) = hAPP(hAPP(c_HOL_OLet(_u7627, _u7627), hAPP(hAPP(c_Power_Opower__class_Opower(_u7627), _u7629), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7628))), hAPP(hAPP(c_COMBS(_u7627, _u7627, _u7627), hAPP(hAPP(c_COMBB(_u7627, tc_fun(_u7627, _u7627), _u7627), c_Groups_Otimes__class_Otimes(_u7627)), hAPP(c_Groups_Otimes__class_Otimes(_u7627), _u7629))), c_COMBI(_u7627)))) )).
% 19.53/19.77 cnf(matrix-4430, plain, ( ~class_Int_Onumber__ring(_u7627) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7628))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7627), _u7629), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u7628))) = c_Groups_Oone__class_Oone(_u7627)) )).
% 19.53/19.77 cnf(matrix-4431, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7630) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7631), _u7632)) | ~hBOOL(hAPP(hAPP(c_member(_u7631), _u7633), _u7632)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7631, _u7630), hAPP(hAPP(c_COMBC(_u7631, _u7630, _u7630), hAPP(hAPP(c_COMBS(_u7631, _u7630, tc_fun(_u7630, _u7630)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7630, tc_fun(_u7630, _u7630)), _u7631), c_If(_u7630)), hAPP(hAPP(c_COMBC(_u7631, _u7631, tc_HOL_Obool), c_fequal), _u7633))), _u7634)), _u7635)), _u7632) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7630), hAPP(_u7634, _u7633)), hAPP(hAPP(c_Power_Opower__class_Opower(_u7630), _u7635), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u7631), _u7632)), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 19.53/19.77 cnf(matrix-4432, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7630) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7631), _u7632)) | hBOOL(hAPP(hAPP(c_member(_u7631), _u7633), _u7632)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7631, _u7630), hAPP(hAPP(c_COMBC(_u7631, _u7630, _u7630), hAPP(hAPP(c_COMBS(_u7631, _u7630, tc_fun(_u7630, _u7630)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7630, tc_fun(_u7630, _u7630)), _u7631), c_If(_u7630)), hAPP(hAPP(c_COMBC(_u7631, _u7631, tc_HOL_Obool), c_fequal), _u7633))), _u7634)), _u7635)), _u7632) = hAPP(hAPP(c_Power_Opower__class_Opower(_u7630), _u7635), hAPP(c_Finite__Set_Ocard(_u7631), _u7632))) )).
% 19.53/19.77 cnf(matrix-4433, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7638))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u7640), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u7638))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u7640), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7638))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint), c_Groups_Otimes__class_Otimes(tc_Int_Oint)), hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u7640))), c_COMBI(tc_Int_Oint)))) )).
% 19.53/19.77 cnf(matrix-4434, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7639))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u7641), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u7639))) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 19.53/19.77 cnf(matrix-4435, plain, ( ( c_Divides_OnegDivAlg(_u7644, _u7646) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7644), _u7646))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7644), _u7646))) )).
% 19.53/19.77 cnf(matrix-4436, plain, ( ( c_Divides_OnegDivAlg(_u7644, _u7646) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7644), _u7646))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7646), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.77 cnf(matrix-4437, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7645), _u7647))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7647), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u7645, _u7647) = hAPP(c_Divides_Oadjust(_u7647), c_Divides_OnegDivAlg(_u7645, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u7647)))) )).
% 19.53/19.77 cnf(matrix-4438, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7648)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7649)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7649))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_Int_Oint), c_If(tc_Nat_Onat)), c_Nat__Numeral_Oneg)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Int_Oint), c_Nat_OSuc), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Int_Oint), hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u7648)), c_Int_Onat))))) )).
% 19.53/19.77 cnf(matrix-4439, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7650)), hAPP(c_Nat_OSuc, _u7651)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7650))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_Int_Oint), c_If(tc_Nat_Onat)), c_Nat__Numeral_Oneg)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Int_Oint), c_Nat_OSuc), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_Int_Oint), c_Orderings_Oord__class_Omin(tc_Nat_Onat)), c_Int_Onat)), _u7651))))) )).
% 19.53/19.77 cnf(matrix-4440, plain, ( ~class_Int_Onumber__ring(_u7652) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7653))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7652), hAPP(c_Int_Onumber__class_Onumber__of(_u7652), _u7654)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u7653))) = hAPP(hAPP(c_HOL_OLet(_u7652, _u7652), hAPP(hAPP(c_Power_Opower__class_Opower(_u7652), hAPP(c_Int_Onumber__class_Onumber__of(_u7652), _u7654)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7653))), hAPP(hAPP(c_COMBS(_u7652, _u7652, _u7652), hAPP(hAPP(c_COMBB(_u7652, tc_fun(_u7652, _u7652), _u7652), c_Groups_Otimes__class_Otimes(_u7652)), hAPP(c_Groups_Otimes__class_Otimes(_u7652), hAPP(c_Int_Onumber__class_Onumber__of(_u7652), _u7654)))), c_COMBI(_u7652)))) )).
% 19.53/19.77 cnf(matrix-4441, plain, ( ~class_Int_Onumber__ring(_u7652) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7653))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u7652), hAPP(c_Int_Onumber__class_Onumber__of(_u7652), _u7654)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u7653))) = c_Groups_Oone__class_Oone(_u7652)) )).
% 19.53/19.77 cnf(matrix-4442, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u7655, _u7656, _u7657, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u7656) )).
% 19.53/19.77 cnf(matrix-4443, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7658)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7659), _u7658))) | ( c_Divides_OnegDivAlg(_u7659, _u7658) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7659), _u7658))) )).
% 19.53/19.77 cnf(matrix-4444, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7658)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7659), _u7658))) | ( c_Divides_OnegDivAlg(_u7659, _u7658) = hAPP(c_Divides_Oadjust(_u7658), c_Divides_OnegDivAlg(_u7659, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u7658)))) )).
% 19.53/19.77 cnf(matrix-4445, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7660))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7661)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7660)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7661), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7660)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7661)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7660)))) )).
% 19.53/19.77 cnf(matrix-4446, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7660))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7661)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7660)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7661), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7660)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7660)), c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7661), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7660))))) )).
% 19.53/19.77 cnf(matrix-4447, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7664), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u7666, _u7664) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7666), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7664))) )).
% 19.53/19.77 cnf(matrix-4448, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7665), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u7667, _u7665) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u7667 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.53/19.77 cnf(matrix-4449, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7665), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u7667, _u7665) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u7665 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.53/19.77 cnf(matrix-4450, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7665), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u7667 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7665 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u7667, _u7665) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u7667), _u7665)), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_Int_Oint), c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint)), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7667))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7665)))) )).
% 19.53/19.77 cnf(matrix-4451, plain, ( ( c_Nat_Onat_Onat__case(_u7668, _u7669, _u7670, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7671)), _u7672)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u7668), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7671))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u7668, _u7668), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u7668, tc_fun(_u7668, _u7668)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7668, tc_fun(_u7668, _u7668)), tc_Int_Oint), c_If(_u7668)), c_Nat__Numeral_Oneg)), c_Nat_Onat_Onat__case(_u7668, _u7669, _u7670, _u7672))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7668, tc_Int_Oint), _u7670), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Int_Onat)), _u7672))))) )).
% 19.53/19.77 cnf(matrix-4452, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7673))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7673))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7673)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 19.53/19.77 cnf(matrix-4453, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7673))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7673))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7673)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7673)), c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7673))))) )).
% 19.53/19.77 cnf(matrix-4454, plain, ( ( c_Divides_OposDivAlg(_u7676, _u7678) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7676)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7676), _u7678)) )).
% 19.53/19.77 cnf(matrix-4455, plain, ( ( c_Divides_OposDivAlg(_u7676, _u7678) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7676)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7678), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.77 cnf(matrix-4456, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7677), _u7679)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7679), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u7677, _u7679) = hAPP(c_Divides_Oadjust(_u7679), c_Divides_OposDivAlg(_u7677, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u7679)))) )).
% 19.53/19.77 cnf(matrix-4457, plain, ( hBOOL(hAPP(hAPP(_u7682, _u7684), _u7685)) | hBOOL(hAPP(hAPP(_u7683, _u7684), _u7685)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7680, tc_fun(_u7681, tc_HOL_Obool))), _u7682), _u7683), _u7684), _u7685)) )).
% 19.53/19.77 cnf(matrix-4458, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7690, tc_fun(_u7691, tc_HOL_Obool))), _u7689), _u7686), _u7687), _u7688)) | ~hBOOL(hAPP(hAPP(_u7686, _u7687), _u7688)) )).
% 19.53/19.77 cnf(matrix-4459, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7690, tc_fun(_u7691, tc_HOL_Obool))), _u7689), _u7686), _u7687), _u7688)) | ~hBOOL(hAPP(hAPP(_u7689, _u7687), _u7688)) )).
% 19.53/19.77 cnf(matrix-4460, plain, ( ~hBOOL(hAPP(hAPP(_u7692, _u7693), _u7694)) | ~hBOOL(hAPP(hAPP(_u7695, _u7693), _u7694)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7696, tc_fun(_u7697, tc_HOL_Obool))), _u7692), _u7695), _u7693), _u7694)) )).
% 19.53/19.77 cnf(matrix-4461, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7698, tc_fun(_u7699, tc_HOL_Obool))), _u7700), _u7701), _u7702), _u7703)) | hBOOL(hAPP(hAPP(_u7700, _u7702), _u7703)) )).
% 19.53/19.77 cnf(matrix-4462, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7698, tc_fun(_u7699, tc_HOL_Obool))), _u7700), _u7701), _u7702), _u7703)) | hBOOL(hAPP(hAPP(_u7701, _u7702), _u7703)) )).
% 19.53/19.77 cnf(matrix-4463, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u7704, tc_fun(_u7705, tc_HOL_Obool))), _u7706), _u7707)) )).
% 19.53/19.77 cnf(matrix-4464, plain, ( ~hBOOL(hAPP(hAPP(_u7708, _u7709), _u7710)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7711, tc_fun(_u7712, tc_HOL_Obool))), _u7708), _u7713)) | hBOOL(hAPP(hAPP(_u7713, _u7709), _u7710)) )).
% 19.53/19.77 cnf(matrix-4465, plain, ( ~hBOOL(hAPP(hAPP(_u7716, _u7718), _u7719)) | hBOOL(hAPP(hAPP(_u7717, _u7718), _u7719)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7714, tc_fun(_u7715, tc_HOL_Obool))), _u7716), _u7717)) )).
% 19.53/19.77 cnf(matrix-4466, plain, ( ( _u7720 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u7721, _u7721), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u7721, _u7721), tc_HOL_Obool)), _u7720), _u7722)) )).
% 19.53/19.77 cnf(matrix-4467, plain, ( hBOOL(hAPP(hAPP(_u7725, _u7727), _u7728)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7723, tc_fun(_u7724, tc_HOL_Obool))), _u7725), _u7726), _u7727), _u7728)) )).
% 19.53/19.77 cnf(matrix-4468, plain, ( hBOOL(hAPP(hAPP(_u7732, _u7733), _u7734)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7729, tc_fun(_u7730, tc_HOL_Obool))), _u7731), _u7732), _u7733), _u7734)) )).
% 19.53/19.77 cnf(matrix-4469, plain, ( ~hBOOL(hAPP(hAPP(_u7735, _u7736), _u7737)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7738, tc_fun(_u7739, tc_HOL_Obool))), _u7735), _u7740), _u7736), _u7737)) )).
% 19.53/19.77 cnf(matrix-4470, plain, ( ~hBOOL(hAPP(hAPP(_u7741, _u7742), _u7743)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7744, tc_fun(_u7745, tc_HOL_Obool))), _u7746), _u7741), _u7742), _u7743)) )).
% 19.53/19.77 cnf(matrix-4471, plain, ( ( c_Nat_Onat_Onat__case(_u7747, _u7748, _u7749, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u7748) )).
% 19.53/19.77 cnf(matrix-4472, plain, ( ( c_Nat_Onat_Onat__case(_u7750, _u7751, _u7752, hAPP(c_Nat_OSuc, _u7753)) = hAPP(_u7752, _u7753)) )).
% 19.53/19.77 cnf(matrix-4473, plain, ( ( c_Divides_OposDivAlg(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u7754) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.77 cnf(matrix-4474, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7757)), _u7759)) | hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7757), _u7759)) )).
% 19.53/19.77 cnf(matrix-4475, plain, ( ~hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7758), _u7760)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7758)), _u7760)) )).
% 19.53/19.77 cnf(matrix-4476, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7761), hAPP(c_Nat_OSuc, _u7762)) = c_Nat_Onat_Onat__case(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_COMBI(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7761), _u7762))) )).
% 19.53/19.77 cnf(matrix-4477, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7763)), _u7764) = c_Nat_Onat_Onat__case(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u7763)), _u7764)) )).
% 19.53/19.77 cnf(matrix-4478, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u7765), hAPP(c_Nat_OSuc, _u7766)) = c_Nat_Onat_Onat__case(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Orderings_Oord__class_Omin(tc_Nat_Onat)), _u7766)), _u7765)) )).
% 19.53/19.77 cnf(matrix-4479, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7767)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7768)) | ( c_Divides_OposDivAlg(_u7767, _u7768) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7767), _u7768)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7767, _u7768))) )).
% 19.53/19.77 cnf(matrix-4480, plain, ( ( c_Nat_Onat_Onat__case(_u7769, _u7770, _u7771, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7772)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u7769), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7772))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u7769, _u7769), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u7769, tc_fun(_u7769, _u7769)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7769, tc_fun(_u7769, _u7769)), tc_Int_Oint), c_If(_u7769)), c_Nat__Numeral_Oneg)), _u7770)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7769, tc_Int_Oint), _u7771), c_Int_Onat)))) )).
% 19.53/19.77 cnf(matrix-4481, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7773)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7774), _u7773)) | ( c_Divides_OposDivAlg(_u7774, _u7773) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7774)) )).
% 19.53/19.77 cnf(matrix-4482, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7773)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7774), _u7773)) | ( c_Divides_OposDivAlg(_u7774, _u7773) = hAPP(c_Divides_Oadjust(_u7773), c_Divides_OposDivAlg(_u7774, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u7773)))) )).
% 19.53/19.77 cnf(matrix-4483, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7775))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7776)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7775))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7776), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7775)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7776))) )).
% 19.53/19.77 cnf(matrix-4484, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7775))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7776)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7775))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7776), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7775)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7775)), c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7776), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u7775))))) )).
% 19.53/19.77 cnf(matrix-4485, plain, ( ~hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u7782, _u7784, _u7786), _u7788), _u7790)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7782, _u7784)), hAPP(hAPP(c_Product__Type_OPair(_u7782, _u7784), _u7788), _u7790)), _u7786)) )).
% 19.53/19.77 cnf(matrix-4486, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7783, _u7785)), hAPP(hAPP(c_Product__Type_OPair(_u7783, _u7785), _u7789), _u7791)), _u7787)) | hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u7783, _u7785, _u7787), _u7789), _u7791)) )).
% 19.53/19.77 cnf(matrix-4487, plain, ( ( c_Code__Numeral_Odiv__mod__code__numeral(_u7792, _u7793) = hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u7792), _u7793)), c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u7792, _u7793))) )).
% 19.53/19.77 cnf(matrix-4488, plain, ( ~c_Nitpick_Orefl_H(_u7798, _u7800) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u7798, _u7798)), hAPP(hAPP(c_Product__Type_OPair(_u7798, _u7798), _u7794), _u7794)), _u7800)) )).
% 19.53/19.77 cnf(matrix-4489, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u7799, _u7799)), hAPP(hAPP(c_Product__Type_OPair(_u7799, _u7799), skolem148(_u7801, _u7799)), skolem148(_u7801, _u7799))), _u7801)) | c_Nitpick_Orefl_H(_u7799, _u7801) )).
% 19.53/19.77 cnf(matrix-4490, plain, ( ( c_Divides_Oadjust(_u7802) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint))), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_fun(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_prod(tc_Int_Oint, tc_Int_Oint))), tc_fun(tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint))), tc_Int_Oint), c_COMBS(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint), tc_prod(tc_Int_Oint, tc_Int_Oint))), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_fun(tc_Int_Oint, tc_fun(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_prod(tc_Int_Oint, tc_Int_Oint))), tc_Int_Oint), hAPP(c_COMBS(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_prod(tc_Int_Oint, tc_Int_Oint))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_prod(tc_Int_Oint, tc_Int_Oint))), tc_Int_Oint), c_If(tc_prod(tc_Int_Oint, tc_Int_Oint))), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_HOL_Obool, tc_Int_Oint), hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint), c_Groups_Ominus__class_Ominus(tc_Int_Oint)), _u7802))))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint))), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_fun(tc_fun(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint))), tc_Int_Oint), c_COMBB(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint)), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_Int_Oint), c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Int_Oint)), hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Oone__class_Oone(tc_Int_Oint))))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint), c_Groups_Ominus__class_Ominus(tc_Int_Oint)), _u7802))))), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_Int_Oint), c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint)), hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))) )).
% 19.53/19.77 cnf(matrix-4491, plain, ( ~class_Rings_Oring__1(_u7803) | ( _u7804 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7803), _u7804) = c_Groups_Ozero__class_Ozero(_u7803)) )).
% 19.53/19.77 cnf(matrix-4492, plain, ( ~class_Rings_Oring__1(_u7803) | ( _u7804 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7804), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7803), _u7804) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7803), hAPP(c_Int_Oring__1__class_Oof__int(_u7803), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7804)))) )).
% 19.53/19.77 cnf(matrix-4493, plain, ( ~class_Rings_Oring__1(_u7803) | ( _u7804 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7804), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u7803), _u7804) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, _u7803), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_fun(_u7803, _u7803)), tc_fun(tc_Int_Oint, _u7803)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u7803, _u7803), _u7803), tc_fun(tc_fun(tc_Int_Oint, tc_fun(_u7803, _u7803)), tc_fun(tc_Int_Oint, _u7803)), tc_Int_Oint), c_COMBB(tc_fun(_u7803, _u7803), _u7803, tc_Int_Oint)), hAPP(hAPP(c_COMBB(_u7803, tc_fun(tc_fun(_u7803, _u7803), _u7803), tc_Int_Oint), c_HOL_OLet(_u7803, _u7803)), c_Int_Oring__1__class_Oof__int(_u7803)))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u7803, _u7803), tc_fun(_u7803, _u7803)), hAPP(hAPP(c_COMBB(tc_fun(_u7803, tc_fun(_u7803, _u7803)), tc_fun(tc_fun(_u7803, _u7803), tc_fun(_u7803, _u7803)), tc_Int_Oint), c_COMBS(_u7803, _u7803, _u7803)), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u7803, _u7803), tc_fun(_u7803, tc_fun(_u7803, _u7803))), hAPP(hAPP(c_COMBB(tc_fun(_u7803, tc_fun(_u7803, _u7803)), tc_fun(tc_fun(_u7803, _u7803), tc_fun(_u7803, tc_fun(_u7803, _u7803))), tc_Int_Oint), c_COMBB(_u7803, tc_fun(_u7803, _u7803), _u7803)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7803, tc_fun(_u7803, _u7803)), tc_Int_Oint), c_If(_u7803)), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool), c_fequal), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), hAPP(hAPP(c_COMBS(_u7803, _u7803, _u7803), c_Groups_Oplus__class_Oplus(_u7803)), c_COMBI(_u7803))))), hAPP(hAPP(c_COMBC(_u7803, _u7803, _u7803), hAPP(hAPP(c_COMBB(_u7803, tc_fun(_u7803, _u7803), _u7803), c_Groups_Oplus__class_Oplus(_u7803)), hAPP(hAPP(c_COMBS(_u7803, _u7803, _u7803), c_Groups_Oplus__class_Oplus(_u7803)), c_COMBI(_u7803)))), c_Groups_Oone__class_Oone(_u7803))))), c_Divides_Odivmod__int(_u7804, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 19.53/19.77 cnf(matrix-4494, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7805)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u7805), _u7806)) | ( c_Divides_Odivmod__nat(_u7806, _u7805) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7806), _u7805)), _u7805))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7806), _u7805), _u7805))) )).
% 19.53/19.77 cnf(matrix-4495, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u7807, _u7808, _u7809), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7810)), _u7811)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u7807), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7810))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u7807, _u7807), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u7807, tc_fun(_u7807, _u7807)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7807, tc_fun(_u7807, _u7807)), tc_Int_Oint), c_If(_u7807)), c_Nat__Numeral_Oneg)), hAPP(c_Nat_Onat_Onat__rec(_u7807, _u7808, _u7809), _u7811))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u7807, _u7807), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u7807, _u7807), tc_Int_Oint), _u7809), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Int_Onat)), _u7811))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7807, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u7807, _u7808, _u7809)), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Int_Onat)), _u7811)))))) )).
% 19.53/19.77 cnf(matrix-4496, plain, ( ~class_Rings_Osemiring__1(_u7812) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7812), _u7813) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u7812, hAPP(hAPP(c_COMBC(_u7812, _u7812, _u7812), c_Groups_Oplus__class_Oplus(_u7812)), c_Groups_Oone__class_Oone(_u7812)), _u7813, c_Groups_Ozero__class_Ozero(_u7812))) )).
% 19.53/19.77 cnf(matrix-4497, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u7814, _u7815, _u7816), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u7815) )).
% 19.53/19.77 cnf(matrix-4498, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u7817, _u7818, _u7819), hAPP(c_Nat_OSuc, _u7820)) = hAPP(hAPP(_u7819, _u7820), hAPP(c_Nat_Onat_Onat__rec(_u7817, _u7818, _u7819), _u7820))) )).
% 19.53/19.77 cnf(matrix-4499, plain, ( ( c_Divides_Odivmod__nat(_u7821, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7821)) )).
% 19.53/19.77 cnf(matrix-4500, plain, ( ~class_Rings_Osemiring__1(_u7822) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u7822, _u7823, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u7824) = _u7824) )).
% 19.53/19.77 cnf(matrix-4501, plain, ( ~class_Rings_Osemiring__1(_u7825) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u7825, _u7826, hAPP(c_Nat_OSuc, _u7827), _u7828) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u7825, _u7826, _u7827, hAPP(_u7826, _u7828))) )).
% 19.53/19.77 cnf(matrix-4502, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u7829), _u7830)) | ( c_Divides_Odivmod__nat(_u7829, _u7830) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7829)) )).
% 19.53/19.77 cnf(matrix-4503, plain, ( ( c_Divides_Odivmod__nat(_u7831, _u7832) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7831), _u7832)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7831, _u7832))) )).
% 19.53/19.77 cnf(matrix-4504, plain, ( ( c_Divides_Odivmod__int(_u7833, _u7834) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u7833), _u7834)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u7833, _u7834))) )).
% 19.53/19.77 cnf(matrix-4505, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u7835, _u7836, _u7837), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u7838)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u7835), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u7838))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u7835, _u7835), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u7835, tc_fun(_u7835, _u7835)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7835, tc_fun(_u7835, _u7835)), tc_Int_Oint), c_If(_u7835)), c_Nat__Numeral_Oneg)), _u7836)), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u7835, _u7835), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u7835, _u7835), tc_Int_Oint), _u7837), c_Int_Onat)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7835, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u7835, _u7836, _u7837)), c_Int_Onat))))) )).
% 19.53/19.77 cnf(matrix-4506, plain, ( ( c_Nitpick_OFrac = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_Int_Oint), hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), tc_fun(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), tc_Int_Oint), c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool)), tc_Int_Oint), hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_Int_Oint), c_fequal)), c_Nitpick_Oint__gcd))), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 19.53/19.77 cnf(matrix-4507, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7841)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7843)) | ( c_Divides_Odivmod__int(_u7841, _u7843) = c_Divides_OposDivAlg(_u7841, _u7843)) )).
% 19.53/19.77 cnf(matrix-4508, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7841)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7843)) | ( _u7841 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u7841, _u7843) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.77 cnf(matrix-4509, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7841)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7843)) | ( _u7841 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u7841, _u7843) = hAPP(c_Divides_OnegateSnd, c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7841), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7843)))) )).
% 19.53/19.77 cnf(matrix-4510, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7842)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7844)) | ( c_Divides_Odivmod__int(_u7842, _u7844) = c_Divides_OnegDivAlg(_u7842, _u7844)) )).
% 19.53/19.77 cnf(matrix-4511, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7842)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7844)) | ( c_Divides_Odivmod__int(_u7842, _u7844) = hAPP(c_Divides_OnegateSnd, c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7842), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7844)))) )).
% 19.53/19.77 cnf(matrix-4512, plain, ( ( _u7847 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u7847, _u7849) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.77 cnf(matrix-4513, plain, ( ( _u7848 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7850 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u7848, _u7850) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7848)) )).
% 19.53/19.77 cnf(matrix-4514, plain, ( ( _u7848 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7850 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u7848, _u7850) = hAPP(c_Product__Type_Oapsnd(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u7850))), hAPP(hAPP(hAPP(c_If(tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_fdisj, hAPP(hAPP(c_fconj, hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7850)), hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7848))), hAPP(hAPP(c_fconj, hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7850), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7848), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), c_Divides_Opdivmod(_u7848, _u7850)), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint))), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_fun(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_prod(tc_Int_Oint, tc_Int_Oint))), tc_fun(tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint))), tc_Int_Oint), c_COMBS(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint), tc_prod(tc_Int_Oint, tc_Int_Oint))), hAPP(hAPP(c_COMBB(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_Int_Oint, tc_fun(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_prod(tc_Int_Oint, tc_Int_Oint))), tc_Int_Oint), hAPP(c_COMBC(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_prod(tc_Int_Oint, tc_Int_Oint))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_prod(tc_Int_Oint, tc_Int_Oint))), tc_Int_Oint), c_If(tc_prod(tc_Int_Oint, tc_Int_Oint))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool), c_fequal), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_Int_Oint), c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint)), c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint))), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_fun(tc_fun(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint))), tc_Int_Oint), c_COMBB(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint)), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_Int_Oint), c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint), c_Groups_Ominus__class_Ominus(tc_Int_Oint)), c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))), c_Groups_Oone__class_Oone(tc_Int_Oint))))), hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7850))))), c_Divides_Opdivmod(_u7848, _u7850))))) )).
% 19.53/19.77 cnf(matrix-4515, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7851, _u7852), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7853), _u7854))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7852)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7855)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7851, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7852), _u7855)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7853), _u7855)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7852), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7853, _u7855))), _u7854)))) )).
% 19.53/19.77 cnf(matrix-4516, plain, ( ( c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))) )).
% 19.53/19.77 cnf(matrix-4517, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7856, _u7857), _u7858)) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7856, _u7857), _u7859)) | ( _u7858 = _u7859) )).
% 19.53/19.77 cnf(matrix-4518, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7860, _u7861), _u7862)) | ( c_Divides_Odivmod__nat(_u7860, _u7861) = _u7862) )).
% 19.53/19.77 cnf(matrix-4519, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7863, _u7864), c_Divides_Odivmod__nat(_u7863, _u7864))) )).
% 19.53/19.77 cnf(matrix-4520, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7865, _u7866), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7867), _u7868))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7865, _u7866) = _u7868) )).
% 19.53/19.77 cnf(matrix-4521, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7869, _u7870), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7871), _u7872))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7869), _u7870) = _u7871) )).
% 19.53/19.77 cnf(matrix-4522, plain, ( ( hAPP(c_Divides_OnegateSnd, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7873), _u7874)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7873), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u7874))) )).
% 19.53/19.77 cnf(matrix-4523, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7875, _u7876), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u7875), _u7876)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u7875, _u7876)))) )).
% 19.53/19.77 cnf(matrix-4524, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7877, _u7878), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7879), _u7880))) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7881, _u7878), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7882), _u7883))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7878)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7877), _u7881), _u7878), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7879), _u7882)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7880), _u7883)), _u7878))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u7880), _u7883), _u7878)))) )).
% 19.53/19.77 cnf(matrix-4525, plain, ( ( c_Divides_Opdivmod(_u7884, _u7885) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7884)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7885))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7884), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7885)))) )).
% 19.53/19.77 cnf(matrix-4526, plain, ( ( _u7888 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u7890, _u7888) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7890))) )).
% 19.53/19.77 cnf(matrix-4527, plain, ( ( _u7889 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u7891, _u7889) = c_Divides_OposDivAlg(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7891), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7889))) )).
% 19.53/19.77 cnf(matrix-4528, plain, ( ( _u7894 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u7894, _u7896) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.77 cnf(matrix-4529, plain, ( ( _u7895 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7897 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u7895, _u7897) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7895)) )).
% 19.53/19.77 cnf(matrix-4530, plain, ( ( _u7895 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u7897 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u7895, _u7897) = hAPP(c_Product__Type_Oapsnd(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u7897))), hAPP(hAPP(hAPP(c_If(tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_fequal, c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u7895)), c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u7897))), c_Divides_Opdivmod(_u7895, _u7897)), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint))), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_fun(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_prod(tc_Int_Oint, tc_Int_Oint))), tc_fun(tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint))), tc_Int_Oint), c_COMBS(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint), tc_prod(tc_Int_Oint, tc_Int_Oint))), hAPP(hAPP(c_COMBB(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_Int_Oint, tc_fun(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_prod(tc_Int_Oint, tc_Int_Oint))), tc_Int_Oint), hAPP(c_COMBC(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_prod(tc_Int_Oint, tc_Int_Oint))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_prod(tc_Int_Oint, tc_Int_Oint))), tc_Int_Oint), c_If(tc_prod(tc_Int_Oint, tc_Int_Oint))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool), c_fequal), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_Int_Oint), c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint)), c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint))), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_fun(tc_fun(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint))), tc_Int_Oint), c_COMBB(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint)), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_Int_Oint), c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint), c_Groups_Ominus__class_Ominus(tc_Int_Oint)), c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))), c_Groups_Oone__class_Oone(tc_Int_Oint))))), hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u7897))))), c_Divides_Opdivmod(_u7895, _u7897))))) )).
% 19.53/19.77 cnf(matrix-4531, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u7898, _u7899), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u7900), _u7901))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7899)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7902), _u7898), _u7899), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7902), _u7900)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7902), _u7901)), _u7899))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u7902), _u7901), _u7899)))) )).
% 19.53/19.77 cnf(matrix-4532, plain, ( ~hBOOL(hAPP(hAPP(_u7903, _u7904), _u7905)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u7906, _u7907, tc_HOL_Obool), _u7903), hAPP(hAPP(c_Product__Type_OPair(_u7906, _u7907), _u7904), _u7905))) )).
% 19.53/19.77 cnf(matrix-4533, plain, ( ~hBOOL(hAPP(hAPP(_u7908, _u7909), _u7910)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u7911, _u7912, tc_HOL_Obool), _u7908), hAPP(hAPP(c_Product__Type_OPair(_u7911, _u7912), _u7909), _u7910))) )).
% 19.53/19.77 cnf(matrix-4534, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7913), _u7914))) | ( c_Divides_OnegDivAlg(_u7913, _u7914) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7913), _u7914))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7913), _u7914))) )).
% 19.53/19.77 cnf(matrix-4535, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7913), _u7914))) | ( c_Divides_OnegDivAlg(_u7913, _u7914) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7913), _u7914))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7914), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.77 cnf(matrix-4536, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u7913), _u7914))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u7913), _u7914))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u7914), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u7913, _u7914) = hAPP(c_Divides_Oadjust(_u7914), c_Divides_OnegDivAlg(_u7913, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u7914)))) )).
% 19.53/19.77 cnf(matrix-4537, plain, ( ~class_Orderings_Olinorder(_u7915) | ( c_Orderings_Oord_Omax(_u7915, hAPP(c_COMBC(_u7915, _u7915, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u7915))) = c_Orderings_Oord__class_Omin(_u7915)) )).
% 19.53/19.77 cnf(matrix-4538, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u7921, _u7923), _u7925)) | ~hBOOL(hAPP(hAPP(_u7923, _u7916), _u7925)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u7921, _u7923), _u7916)) )).
% 19.53/19.77 cnf(matrix-4539, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u7922, _u7924), _u7926)) | hBOOL(hAPP(hAPP(_u7924, skolem149(_u7926, _u7924, _u7922)), _u7926)) )).
% 19.53/19.77 cnf(matrix-4540, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u7922, _u7924), _u7926)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u7922, _u7924), skolem149(_u7926, _u7924, _u7922))) )).
% 19.53/19.77 cnf(matrix-4541, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u7932, _u7934), _u7936)) | ~hBOOL(hAPP(hAPP(_u7934, _u7927), _u7936)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u7932, _u7934), _u7927)) )).
% 19.53/19.77 cnf(matrix-4542, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u7933, _u7935), _u7937)) | hBOOL(hAPP(hAPP(_u7935, skolem150(_u7937, _u7935, _u7933)), _u7937)) )).
% 19.53/19.77 cnf(matrix-4543, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u7933, _u7935), _u7937)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u7933, _u7935), skolem150(_u7937, _u7935, _u7933))) )).
% 19.53/19.77 cnf(matrix-4544, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u7938, _u7939), _u7940)) | ~hBOOL(hAPP(hAPP(_u7939, _u7941), _u7940)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u7938, _u7939), _u7941)) )).
% 19.53/19.77 cnf(matrix-4545, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7942, tc_fun(_u7942, tc_HOL_Obool))), _u7943), _u7944)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7942, tc_HOL_Obool)), c_Wellfounded_Oaccp(_u7942, _u7944)), c_Wellfounded_Oaccp(_u7942, _u7943))) )).
% 19.53/19.77 cnf(matrix-4546, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u7945, _u7946), _u7947), _u7948) != hAPP(hAPP(c_Product__Type_OPair(_u7945, _u7946), _u7949), _u7950)) | ( _u7947 = _u7949) )).
% 19.53/19.77 cnf(matrix-4547, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u7945, _u7946), _u7947), _u7948) != hAPP(hAPP(c_Product__Type_OPair(_u7945, _u7946), _u7949), _u7950)) | ( _u7948 = _u7950) )).
% 19.53/19.77 cnf(matrix-4548, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u7957, _u7959), _u7961), _u7963) != hAPP(hAPP(c_Product__Type_OPair(_u7957, _u7959), _u7965), _u7967)) | ( _u7961 = _u7965) )).
% 19.53/19.77 cnf(matrix-4549, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u7957, _u7959), _u7961), _u7963) != hAPP(hAPP(c_Product__Type_OPair(_u7957, _u7959), _u7965), _u7967)) | ( _u7963 = _u7967) )).
% 19.53/19.77 cnf(matrix-4550, plain, ( ( _u7962 != _u7966) | ( _u7964 != _u7968) | ( hAPP(hAPP(c_Product__Type_OPair(_u7958, _u7960), _u7962), _u7964) = hAPP(hAPP(c_Product__Type_OPair(_u7958, _u7960), _u7966), _u7968)) )).
% 19.53/19.77 cnf(matrix-4551, plain, ( ~hBOOL(hAPP(_u7978, skolem151(_u7982, _u7980, _u7978))) | hBOOL(hAPP(_u7978, hAPP(hAPP(c_Product__Type_OPair(_u7980, _u7982), _u7971), _u7970))) )).
% 19.53/19.77 cnf(matrix-4552, plain, ( ~hBOOL(hAPP(_u7979, hAPP(hAPP(c_Product__Type_OPair(_u7981, _u7983), skolem152(_u7983, _u7981, _u7979)), skolem153(_u7983, _u7981, _u7979)))) | hBOOL(hAPP(_u7979, _u7974)) )).
% 19.53/19.77 cnf(matrix-4553, plain, ( ( _u7984 != _u7985) | ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u7986, _u7987, _u7988), _u7989), _u7984) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u7986, _u7987, _u7988), _u7989), _u7985)) )).
% 19.53/19.77 cnf(matrix-4554, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u7990, _u7991, _u7992), _u7993), hAPP(hAPP(c_Product__Type_OPair(_u7990, _u7991), _u7994), _u7995)) = hAPP(hAPP(_u7993, _u7994), _u7995)) )).
% 19.53/19.77 cnf(matrix-4555, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u7996, _u7997, _u7998), _u7999), hAPP(hAPP(c_Product__Type_OPair(_u7996, _u7997), _u8000), _u8001)) = hAPP(hAPP(_u7999, _u8000), _u8001)) )).
% 19.53/19.77 cnf(matrix-4556, plain, ( hBOOL(hAPP(hAPP(_u8004, _u8005), _u8006)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8002, _u8003, tc_HOL_Obool), _u8004), hAPP(hAPP(c_Product__Type_OPair(_u8002, _u8003), _u8005), _u8006))) )).
% 19.53/19.77 cnf(matrix-4557, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u8007, _u8008, _u8009, _u8010), hAPP(hAPP(c_Product__Type_OPair(_u8009, _u8007), _u8011), _u8012)) = hAPP(hAPP(c_Product__Type_OPair(_u8009, _u8008), _u8011), hAPP(_u8010, _u8012))) )).
% 19.53/19.77 cnf(matrix-4558, plain, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u8013, _u8014, _u8015), hAPP(hAPP(c_COMBB(tc_fun(_u8014, tc_prod(_u8013, _u8014)), tc_fun(_u8014, _u8015), _u8013), hAPP(c_COMBB(tc_prod(_u8013, _u8014), _u8015, _u8014), _u8016)), c_Product__Type_OPair(_u8013, _u8014))) = _u8016) )).
% 19.53/19.77 cnf(matrix-4559, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8017, _u8018, _u8019), _u8020), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8021, _u8022, tc_prod(_u8017, _u8018)), _u8023), _u8024)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8021, _u8022, _u8019), hAPP(hAPP(c_COMBB(tc_fun(_u8022, tc_prod(_u8017, _u8018)), tc_fun(_u8022, _u8019), _u8021), hAPP(c_COMBB(tc_prod(_u8017, _u8018), _u8019, _u8022), hAPP(c_Product__Type_Oprod_Oprod__case(_u8017, _u8018, _u8019), _u8020))), _u8023)), _u8024)) )).
% 19.53/19.77 cnf(matrix-4560, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8025), _u8026))) | ( c_Divides_OposDivAlg(_u8025, _u8026) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8025)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8025), _u8026)) )).
% 19.53/19.77 cnf(matrix-4561, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8025), _u8026))) | ( c_Divides_OposDivAlg(_u8025, _u8026) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8025)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8026), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.77 cnf(matrix-4562, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8025), _u8026))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8025), _u8026)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8026), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u8025, _u8026) = hAPP(c_Divides_Oadjust(_u8026), c_Divides_OposDivAlg(_u8025, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u8026)))) )).
% 19.53/19.77 cnf(matrix-4563, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Nitpick_Onorm__frac__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8027), _u8028))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8028), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u8027, _u8028) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8027), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8028))) )).
% 19.53/19.77 cnf(matrix-4564, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Nitpick_Onorm__frac__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8027), _u8028))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8028), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u8027, _u8028) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u8027 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.53/19.77 cnf(matrix-4565, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Nitpick_Onorm__frac__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8027), _u8028))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8028), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u8027, _u8028) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u8028 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.53/19.77 cnf(matrix-4566, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Nitpick_Onorm__frac__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8027), _u8028))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8028), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u8027 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u8028 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u8027, _u8028) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u8027), _u8028)), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), tc_Int_Oint), c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint)), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8027))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8028)))) )).
% 19.53/19.77 cnf(matrix-4567, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8031), _u8032))) | hBOOL(hAPP(hAPP(_u8033, _u8031), _u8032)) | hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), skolem154(_u8033, _u8032, _u8031)), skolem155(_u8033, _u8032, _u8031)))) )).
% 19.53/19.77 cnf(matrix-4568, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8031), _u8032))) | hBOOL(hAPP(hAPP(_u8033, _u8031), _u8032)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem154(_u8033, _u8032, _u8031)), skolem155(_u8033, _u8032, _u8031)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem155(_u8033, _u8032, _u8031)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u8033, skolem154(_u8033, _u8032, _u8031)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), skolem155(_u8033, _u8032, _u8031)))) )).
% 19.53/19.77 cnf(matrix-4569, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8031), _u8032))) | hBOOL(hAPP(hAPP(_u8033, _u8031), _u8032)) | ~hBOOL(hAPP(hAPP(_u8033, skolem154(_u8033, _u8032, _u8031)), skolem155(_u8033, _u8032, _u8031))) )).
% 19.53/19.77 cnf(matrix-4570, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8034, _u8035), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8036), _u8037))) | ( _u8035 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8038)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8034, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8035), _u8038)), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8036), _u8038)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8035), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8036, _u8038))), _u8037)))) )).
% 19.53/19.77 cnf(matrix-4571, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8039), _u8040), hAPP(hAPP(_u8041, _u8042), _u8043))) | hBOOL(hAPP(hAPP(c_member(_u8039), _u8040), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8044, _u8045, tc_fun(_u8039, tc_HOL_Obool)), _u8041), hAPP(hAPP(c_Product__Type_OPair(_u8044, _u8045), _u8042), _u8043)))) )).
% 19.53/19.77 cnf(matrix-4572, plain, ( hBOOL(hAPP(hAPP(hAPP(_u8049, _u8050), _u8051), _u8052)) | ~hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8046, _u8047, tc_fun(_u8048, tc_HOL_Obool)), _u8049), hAPP(hAPP(c_Product__Type_OPair(_u8046, _u8047), _u8050), _u8051)), _u8052)) )).
% 19.53/19.77 cnf(matrix-4573, plain, ( ( _u8053 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u8053), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) )).
% 19.53/19.77 cnf(matrix-4574, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8054, _u8054), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8055), _u8056))) | ( _u8054 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u8056 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 19.53/19.77 cnf(matrix-4575, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8057, _u8058), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8059), _u8060))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8057, _u8058), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8061), _u8062))) | ( _u8058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u8059 = _u8061) )).
% 19.53/19.77 cnf(matrix-4576, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8063, _u8064), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8065), _u8066))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8063, _u8064), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8067), _u8068))) | ( _u8064 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u8066 = _u8068) )).
% 19.53/19.77 cnf(matrix-4577, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8069), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8070)), _u8071)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8069, _u8070), hAPP(c_Divides_OnegateSnd, _u8071))) )).
% 19.53/19.77 cnf(matrix-4578, plain, ( ( _u8072 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8073, _u8072), c_Divides_Odivmod__int(_u8073, _u8072))) )).
% 19.53/19.77 cnf(matrix-4579, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8074, _u8074), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8075), _u8076))) | ( _u8074 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u8075 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 19.53/19.77 cnf(matrix-4580, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8077, _u8078), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8079), _u8080))) | ( _u8078 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8077, _u8078) = _u8080) )).
% 19.53/19.77 cnf(matrix-4581, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8081, _u8082), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8083), _u8084))) | ( _u8082 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8081), _u8082) = _u8083) )).
% 19.53/19.77 cnf(matrix-4582, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8085), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8086)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8085, _u8086), c_Divides_OnegDivAlg(_u8085, _u8086))) )).
% 19.53/19.77 cnf(matrix-4583, plain, ( ( _u8087 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8088, _u8087), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8088), _u8087)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8088, _u8087)))) )).
% 19.53/19.77 cnf(matrix-4584, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8089)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8090)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8089, _u8090), c_Divides_OposDivAlg(_u8089, _u8090))) )).
% 19.53/19.77 cnf(matrix-4585, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8091, _u8092), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8093), _u8094))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8095, _u8092), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8096), _u8097))) | ( _u8092 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8091), _u8095), _u8092), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8093), _u8096)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8094), _u8097)), _u8092))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8094), _u8097), _u8092)))) )).
% 19.53/19.77 cnf(matrix-4586, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8098, _u8099), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8100), _u8101))) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8098), _u8099), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u8101), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8100)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8100)), c_Groups_Oone__class_Oone(tc_Int_Oint)))), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u8101), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8099), _u8101))))) )).
% 19.53/19.77 cnf(matrix-4587, plain, ( ( c_Divides_Odivmod__nat(_u8106, _u8104) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8106)) | ( _u8104 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-4588, plain, ( ( c_Divides_Odivmod__nat(_u8106, _u8104) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8106)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8106), _u8104)) )).
% 19.53/19.77 cnf(matrix-4589, plain, ( ( _u8105 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8107), _u8105)) | ( c_Divides_Odivmod__nat(_u8107, _u8105) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_prod(tc_Nat_Onat, tc_Nat_Onat)), tc_Nat_Onat), c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat)), c_Nat_OSuc)), c_Divides_Odivmod__nat(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8107), _u8105), _u8105))) )).
% 19.53/19.77 cnf(matrix-4590, plain, ( ( _u8108 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8109), _u8110)), _u8111)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8108, _u8109), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8110), _u8111))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8109)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8109), _u8111)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8111), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.77 cnf(matrix-4591, plain, ( ( _u8108 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8109), _u8110)), _u8111)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8108, _u8109), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8110), _u8111))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8111)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8111), _u8109)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8109)) )).
% 19.53/19.77 cnf(matrix-4592, plain, ( ( _u8108 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8109), _u8110)), _u8111)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8108, _u8109), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8110), _u8111))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8111)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8111), _u8109)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8109), _u8111)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8111), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.77 cnf(matrix-4593, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u8112, _u8113), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8114), _u8115))) | ( _u8113 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8116), _u8112), _u8113), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8116), _u8114)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8116), _u8115)), _u8113))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8116), _u8115), _u8113)))) )).
% 19.53/19.77 cnf(matrix-4594, plain, ( ( c_Divides_Odivmod__int__rel(_u8117, _u8118) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_fun(tc_Int_Oint, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_fun(tc_Int_Oint, tc_HOL_Obool)), tc_Int_Oint), c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_fun(tc_Int_Oint, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Int_Oint), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj)), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_Int_Oint), tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_Int_Oint), hAPP(c_COMBB(tc_Int_Oint, tc_HOL_Obool, tc_Int_Oint), hAPP(c_fequal, _u8117))), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Int_Oint)), hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8118)))))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), hAPP(c_fimplies, hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8118))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Int_Oint)), _u8118))))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint), hAPP(c_fimplies, hAPP(c_fNot, hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8118)))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8118))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_Int_Oint)), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))))) )).
% 19.53/19.77 cnf(matrix-4595, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8121), _u8122))) | hBOOL(hAPP(hAPP(_u8123, _u8121), _u8122)) | hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), skolem156(_u8123, _u8122, _u8121)), skolem157(_u8123, _u8122, _u8121)))) )).
% 19.53/19.77 cnf(matrix-4596, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8121), _u8122))) | hBOOL(hAPP(hAPP(_u8123, _u8121), _u8122)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem156(_u8123, _u8122, _u8121)), skolem157(_u8123, _u8122, _u8121))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem157(_u8123, _u8122, _u8121)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u8123, skolem156(_u8123, _u8122, _u8121)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), skolem157(_u8123, _u8122, _u8121)))) )).
% 19.53/19.77 cnf(matrix-4597, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8121), _u8122))) | hBOOL(hAPP(hAPP(_u8123, _u8121), _u8122)) | ~hBOOL(hAPP(hAPP(_u8123, skolem156(_u8123, _u8122, _u8121)), skolem157(_u8123, _u8122, _u8121))) )).
% 19.53/19.77 cnf(matrix-4598, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Nitpick_Onat__gcd__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8124), _u8125))) | ( _u8125 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u8124, _u8125) = _u8124) )).
% 19.53/19.77 cnf(matrix-4599, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Nitpick_Onat__gcd__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8124), _u8125))) | ( _u8125 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u8124, _u8125) = c_Nitpick_Onat__gcd(_u8125, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8124, _u8125))) )).
% 19.53/19.77 cnf(matrix-4600, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8127, tc_Int_Oint), _u8129), _u8128) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8127, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u8127), c_Int_Onat), _u8129)), _u8128))) | hBOOL(hAPP(hAPP(c_member(_u8127), skolem158(_u8129, _u8128, _u8127)), _u8128)) )).
% 19.53/19.77 cnf(matrix-4601, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8127, tc_Int_Oint), _u8129), _u8128) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8127, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u8127), c_Int_Onat), _u8129)), _u8128))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u8129, skolem158(_u8129, _u8128, _u8127))) )).
% 19.53/19.77 cnf(matrix-4602, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8130)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8130)) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), hAPP(c_Divides_OnegateSnd, c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8130)))))) )).
% 19.53/19.77 cnf(matrix-4603, plain, ( ( hAPP(c_Product__Type_Osnd(_u8131, _u8132), hAPP(hAPP(c_Product__Type_OPair(_u8131, _u8132), _u8133), _u8134)) = _u8134) )).
% 19.53/19.77 cnf(matrix-4604, plain, ( ( _u8138 = _u8139) | ( hAPP(c_Product__Type_Osnd(_u8135, _u8136), hAPP(hAPP(c_Product__Type_OPair(_u8135, _u8136), _u8137), _u8138)) != _u8139) )).
% 19.53/19.77 cnf(matrix-4605, plain, ( ( hAPP(c_Product__Type_Osnd(_u8140, _u8141), hAPP(c_Product__Type_Oapsnd(_u8142, _u8141, _u8140, _u8143), _u8144)) = hAPP(_u8143, hAPP(c_Product__Type_Osnd(_u8140, _u8142), _u8144))) )).
% 19.53/19.77 cnf(matrix-4606, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u8151, _u8153, _u8155, _u8157), _u8159) != hAPP(c_Product__Type_Oapsnd(_u8151, _u8153, _u8155, _u8161), _u8159)) | ( hAPP(_u8157, hAPP(c_Product__Type_Osnd(_u8155, _u8151), _u8159)) = hAPP(_u8161, hAPP(c_Product__Type_Osnd(_u8155, _u8151), _u8159))) )).
% 19.53/19.77 cnf(matrix-4607, plain, ( ( hAPP(_u8158, hAPP(c_Product__Type_Osnd(_u8156, _u8152), _u8160)) != hAPP(_u8162, hAPP(c_Product__Type_Osnd(_u8156, _u8152), _u8160))) | ( hAPP(c_Product__Type_Oapsnd(_u8152, _u8154, _u8156, _u8158), _u8160) = hAPP(c_Product__Type_Oapsnd(_u8152, _u8154, _u8156, _u8162), _u8160)) )).
% 19.53/19.77 cnf(matrix-4608, plain, ( ( hAPP(c_Product__Type_Osnd(_u8163, _u8164), _u8165) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8163, _u8164, _u8164), hAPP(c_COMBK(tc_fun(_u8164, _u8164), _u8163), c_COMBI(_u8164))), _u8165)) )).
% 19.53/19.77 cnf(matrix-4609, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8166, _u8167) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u8166, _u8167))) )).
% 19.53/19.77 cnf(matrix-4610, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8168), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8169)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8168, _u8169) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u8168, _u8169))) )).
% 19.53/19.77 cnf(matrix-4611, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8170)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8171)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8170, _u8171) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u8170, _u8171))) )).
% 19.53/19.77 cnf(matrix-4612, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8172))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8172)) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8172)))) )).
% 19.53/19.77 cnf(matrix-4613, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8173)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8174), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8173, _u8174) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), hAPP(c_Divides_OnegateSnd, c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8173), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8174))))) )).
% 19.53/19.77 cnf(matrix-4614, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8175), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8176), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u8175, _u8176) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), hAPP(c_Divides_OnegateSnd, c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8175), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8176))))) )).
% 19.53/19.77 cnf(matrix-4615, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u8187, _u8183)), hAPP(_u8187, _u8185))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8181, _u8181)), hAPP(hAPP(c_Product__Type_OPair(_u8181, _u8181), _u8183), _u8185)), hAPP(c_Wellfounded_Omeasure(_u8181), _u8187))) )).
% 19.53/19.77 cnf(matrix-4616, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u8188, _u8184)), hAPP(_u8188, _u8186))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8182, _u8182)), hAPP(hAPP(c_Product__Type_OPair(_u8182, _u8182), _u8184), _u8186)), hAPP(c_Wellfounded_Omeasure(_u8182), _u8188))) )).
% 19.53/19.77 cnf(matrix-4617, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8190, tc_Int_Oint), _u8192), _u8191) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8190, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u8190), c_Int_Onat), _u8192)), _u8191))) | hBOOL(hAPP(hAPP(c_member(_u8190), skolem159(_u8192, _u8191, _u8190)), _u8191)) )).
% 19.53/19.77 cnf(matrix-4618, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8190, tc_Int_Oint), _u8192), _u8191) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8190, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u8190), c_Int_Onat), _u8192)), _u8191))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u8192, skolem159(_u8192, _u8191, _u8190))) )).
% 19.53/19.77 cnf(matrix-4619, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Nitpick_Onorm__frac__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8195), _u8196))) | hBOOL(hAPP(hAPP(_u8197, _u8195), _u8196)) | hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Nitpick_Onorm__frac__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), skolem160(_u8197, _u8196, _u8195)), skolem161(_u8197, _u8196, _u8195)))) )).
% 19.53/19.77 cnf(matrix-4620, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Nitpick_Onorm__frac__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8195), _u8196))) | hBOOL(hAPP(hAPP(_u8197, _u8195), _u8196)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem161(_u8197, _u8196, _u8195)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u8197, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem160(_u8197, _u8196, _u8195))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem161(_u8197, _u8196, _u8195)))) )).
% 19.53/19.77 cnf(matrix-4621, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Nitpick_Onorm__frac__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u8195), _u8196))) | hBOOL(hAPP(hAPP(_u8197, _u8195), _u8196)) | ~hBOOL(hAPP(hAPP(_u8197, skolem160(_u8197, _u8196, _u8195)), skolem161(_u8197, _u8196, _u8195))) )).
% 19.53/19.77 cnf(matrix-4622, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8198)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8198)) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), hAPP(c_Divides_OnegateSnd, c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8198)))))) )).
% 19.53/19.77 cnf(matrix-4623, plain, ( ( _u8203 != _u8205) | ( hAPP(c_Product__Type_Ofst(_u8207, _u8209), _u8203) = hAPP(c_Product__Type_Ofst(_u8207, _u8209), _u8205)) )).
% 19.53/19.77 cnf(matrix-4624, plain, ( ( _u8203 != _u8205) | ( hAPP(c_Product__Type_Osnd(_u8207, _u8209), _u8203) = hAPP(c_Product__Type_Osnd(_u8207, _u8209), _u8205)) )).
% 19.53/19.77 cnf(matrix-4625, plain, ( ( hAPP(c_Product__Type_Ofst(_u8208, _u8210), _u8204) != hAPP(c_Product__Type_Ofst(_u8208, _u8210), _u8206)) | ( hAPP(c_Product__Type_Osnd(_u8208, _u8210), _u8204) != hAPP(c_Product__Type_Osnd(_u8208, _u8210), _u8206)) | ( _u8204 = _u8206) )).
% 19.53/19.77 cnf(matrix-4626, plain, ( ( hAPP(c_Product__Type_Ofst(_u8211, _u8212), _u8213) != hAPP(c_Product__Type_Ofst(_u8211, _u8212), _u8214)) | ( hAPP(c_Product__Type_Osnd(_u8211, _u8212), _u8213) != hAPP(c_Product__Type_Osnd(_u8211, _u8212), _u8214)) | ( _u8213 = _u8214) )).
% 19.53/19.77 cnf(matrix-4627, plain, ( ( _u8217 = _u8219) | ( hAPP(c_Product__Type_Ofst(_u8215, _u8216), hAPP(hAPP(c_Product__Type_OPair(_u8215, _u8216), _u8217), _u8218)) != _u8219) )).
% 19.53/19.77 cnf(matrix-4628, plain, ( ( hAPP(c_Product__Type_Ofst(_u8220, _u8221), hAPP(hAPP(c_Product__Type_OPair(_u8220, _u8221), _u8222), _u8223)) = _u8222) )).
% 19.53/19.77 cnf(matrix-4629, plain, ( ( hAPP(c_Product__Type_Ofst(_u8224, _u8225), hAPP(c_Product__Type_Oapsnd(_u8226, _u8225, _u8224, _u8227), _u8228)) = hAPP(c_Product__Type_Ofst(_u8224, _u8226), _u8228)) )).
% 19.53/19.77 cnf(matrix-4630, plain, ( ( hAPP(c_Product__Type_Ofst(_u8229, _u8230), _u8231) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8229, _u8230, _u8229), c_COMBK(_u8229, _u8230)), _u8231)) )).
% 19.53/19.77 cnf(matrix-4631, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u8232, _u8233), hAPP(c_Product__Type_Ofst(_u8232, _u8233), _u8234)), hAPP(c_Product__Type_Osnd(_u8232, _u8233), _u8234)) = _u8234) )).
% 19.53/19.77 cnf(matrix-4632, plain, ( ( _u8235 = hAPP(hAPP(c_Product__Type_OPair(_u8236, _u8237), hAPP(c_Product__Type_Ofst(_u8236, _u8237), _u8235)), hAPP(c_Product__Type_Osnd(_u8236, _u8237), _u8235))) )).
% 19.53/19.77 cnf(matrix-4633, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8238, _u8239, _u8240), _u8241), _u8242) = hAPP(hAPP(_u8241, hAPP(c_Product__Type_Ofst(_u8238, _u8239), _u8242)), hAPP(c_Product__Type_Osnd(_u8238, _u8239), _u8242))) )).
% 19.53/19.77 cnf(matrix-4634, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8243), _u8244) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u8243, _u8244))) )).
% 19.53/19.77 cnf(matrix-4635, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u8245, _u8246) = hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u8245, _u8246))) )).
% 19.53/19.77 cnf(matrix-4636, plain, ( ( hAPP(hAPP(c_COMBS(tc_prod(_u8247, _u8248), _u8248, _u8249), hAPP(hAPP(c_COMBB(_u8250, tc_fun(_u8248, _u8249), tc_prod(_u8247, _u8248)), _u8251), hAPP(hAPP(c_COMBB(_u8247, _u8250, tc_prod(_u8247, _u8248)), _u8252), c_Product__Type_Ofst(_u8247, _u8248)))), c_Product__Type_Osnd(_u8247, _u8248)) = hAPP(c_Product__Type_Oprod_Oprod__case(_u8247, _u8248, _u8249), hAPP(hAPP(c_COMBB(_u8250, tc_fun(_u8248, _u8249), _u8247), _u8251), _u8252))) )).
% 19.53/19.77 cnf(matrix-4637, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8253, _u8254, _u8255), _u8256), _u8257) = hAPP(hAPP(_u8256, hAPP(c_Product__Type_Ofst(_u8253, _u8254), _u8257)), hAPP(c_Product__Type_Osnd(_u8253, _u8254), _u8257))) )).
% 19.53/19.77 cnf(matrix-4638, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u8258, _u8259, _u8260), _u8261), _u8262) = hAPP(hAPP(_u8261, hAPP(c_Product__Type_Ofst(_u8258, _u8259), _u8262)), hAPP(c_Product__Type_Osnd(_u8258, _u8259), _u8262))) )).
% 19.53/19.77 cnf(matrix-4639, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8263), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8264)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8263), _u8264) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u8263, _u8264))) )).
% 19.53/19.77 cnf(matrix-4640, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8265)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8266)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8265), _u8266) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u8265, _u8266))) )).
% 19.53/19.77 cnf(matrix-4641, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8267))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8267)) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u8267)))) )).
% 19.53/19.77 cnf(matrix-4642, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8268)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8269), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8268), _u8269) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), hAPP(c_Divides_OnegateSnd, c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8268), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8269))))) )).
% 19.53/19.77 cnf(matrix-4643, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8270), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8271), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8270), _u8271) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), hAPP(c_Divides_OnegateSnd, c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8270), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8271))))) )).
% 19.53/19.77 cnf(matrix-4644, plain, ( ( c_Product__Type_Oprod_Oprod__size(_u8272, _u8273, _u8274, _u8275, _u8276) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u8274, hAPP(c_Product__Type_Ofst(_u8272, _u8273), _u8276))), hAPP(_u8275, hAPP(c_Product__Type_Osnd(_u8272, _u8273), _u8276)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 19.53/19.77 cnf(matrix-4645, plain, ( ~hBOOL(hAPP(_u8277, _u8278)) | ~hBOOL(hAPP(_u8279, _u8280)) | hBOOL(hAPP(_u8277, hAPP(c_Product__Type_Ofst(_u8281, _u8282), hAPP(hAPP(c_Product__Type_OPair(_u8281, _u8282), _u8278), _u8280)))) )).
% 19.53/19.77 cnf(matrix-4646, plain, ( ~hBOOL(hAPP(_u8277, _u8278)) | ~hBOOL(hAPP(_u8279, _u8280)) | hBOOL(hAPP(_u8279, hAPP(c_Product__Type_Osnd(_u8281, _u8282), hAPP(hAPP(c_Product__Type_OPair(_u8281, _u8282), _u8278), _u8280)))) )).
% 19.53/19.77 cnf(matrix-4647, plain, ( ~hBOOL(hAPP(hAPP(_u8283, _u8284), _u8285)) | hBOOL(hAPP(hAPP(_u8283, hAPP(c_Product__Type_Osnd(_u8286, _u8287), hAPP(hAPP(c_Product__Type_OPair(_u8286, _u8287), _u8285), _u8284))), hAPP(c_Product__Type_Ofst(_u8286, _u8287), hAPP(hAPP(c_Product__Type_OPair(_u8286, _u8287), _u8285), _u8284)))) )).
% 19.53/19.77 cnf(matrix-4648, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Nitpick_Onat__gcd__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8290), _u8291))) | hBOOL(hAPP(hAPP(_u8292, _u8290), _u8291)) | hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Nitpick_Onat__gcd__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), skolem162(_u8292, _u8291, _u8290)), skolem163(_u8292, _u8291, _u8290)))) )).
% 19.53/19.77 cnf(matrix-4649, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Nitpick_Onat__gcd__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8290), _u8291))) | hBOOL(hAPP(hAPP(_u8292, _u8290), _u8291)) | ( skolem163(_u8292, _u8291, _u8290) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(_u8292, skolem163(_u8292, _u8291, _u8290)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, skolem162(_u8292, _u8291, _u8290), skolem163(_u8292, _u8291, _u8290)))) )).
% 19.53/19.77 cnf(matrix-4650, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Nitpick_Onat__gcd__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8290), _u8291))) | hBOOL(hAPP(hAPP(_u8292, _u8290), _u8291)) | ~hBOOL(hAPP(hAPP(_u8292, skolem162(_u8292, _u8291, _u8290)), skolem163(_u8292, _u8291, _u8290))) )).
% 19.53/19.77 cnf(matrix-4651, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u8293), _u8294) = hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u8293, _u8294))) )).
% 19.53/19.77 cnf(matrix-4652, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8298, _u8300), _u8302)) | ( _u8298 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u8302)), _u8300)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8302))) )).
% 19.53/19.77 cnf(matrix-4653, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8298, _u8300), _u8302)) | ( _u8300 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u8302) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-4654, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8298, _u8300), _u8302)) | ( _u8300 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8300)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8302))) )).
% 19.53/19.77 cnf(matrix-4655, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8298, _u8300), _u8302)) | ( _u8300 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8300)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8302)), _u8300)) )).
% 19.53/19.77 cnf(matrix-4656, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8298, _u8300), _u8302)) | ( _u8300 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8300)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8300), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8302))) )).
% 19.53/19.77 cnf(matrix-4657, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8298, _u8300), _u8302)) | ( _u8300 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8300)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8302)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.53/19.77 cnf(matrix-4658, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8299, _u8301), _u8303)) | ( _u8299 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u8303)), _u8301)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303))) | ( _u8301 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8301)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8301), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.53/19.77 cnf(matrix-4659, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8299, _u8301), _u8303)) | ( _u8299 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u8303)), _u8301)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303))) | ( _u8301 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303)), _u8301)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8301)) )).
% 19.53/19.77 cnf(matrix-4660, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8299, _u8301), _u8303)) | ( _u8299 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u8303)), _u8301)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303))) | ( _u8301 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303)), _u8301)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8301), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.53/19.77 cnf(matrix-4661, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8299, _u8301), _u8303)) | ( _u8299 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u8303)), _u8301)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u8303) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u8301 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-4662, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8299, _u8301), _u8303)) | ( _u8299 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u8303)), _u8301)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u8303) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8301)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8301), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.53/19.77 cnf(matrix-4663, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8299, _u8301), _u8303)) | ( _u8299 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u8303)), _u8301)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u8303) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303)), _u8301)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8301)) )).
% 19.53/19.77 cnf(matrix-4664, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u8299, _u8301), _u8303)) | ( _u8299 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u8303)), _u8301)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u8303) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303)), _u8301)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8301), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u8303)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.53/19.77 cnf(matrix-4665, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u8304)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Orange(_u8304), _u8305))), _u8304)) )).
% 19.53/19.77 cnf(matrix-4666, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Int_Oint, tc_Nat_Onat), hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8306)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_Int_Oint), tc_Nat_Onat), c_Groups_Otimes__class_Otimes(tc_Int_Oint)), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), _u8307))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8308))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8308)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8306), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8306), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8308), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u8307))))) )).
% 19.53/19.77 cnf(matrix-4667, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u8309, _u8310)), hAPP(_u8309, _u8311))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8312, _u8312)), hAPP(hAPP(c_Product__Type_OPair(_u8312, _u8312), _u8310), _u8311)), _u8313)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8312, _u8312)), hAPP(hAPP(c_Product__Type_OPair(_u8312, _u8312), _u8310), _u8311)), c_Wellfounded_Omlex__prod(_u8312, _u8309, _u8313))) )).
% 19.53/19.77 cnf(matrix-4668, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u8314, _u8315)), hAPP(_u8314, _u8316))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8317, _u8317)), hAPP(hAPP(c_Product__Type_OPair(_u8317, _u8317), _u8315), _u8316)), c_Wellfounded_Omlex__prod(_u8317, _u8314, _u8318))) )).
% 19.53/19.77 cnf(matrix-4669, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8319))) )).
% 19.53/19.77 cnf(matrix-4670, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-4671, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8320)) = _u8320) )).
% 19.53/19.77 cnf(matrix-4672, plain, ( ~class_Orderings_Olinorder(_u8321) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u8321), _u8322) != hAPP(c_SetInterval_Oord__class_OlessThan(_u8321), _u8323)) | ( _u8322 = _u8323) )).
% 19.53/19.77 cnf(matrix-4673, plain, ( ~class_Orderings_Olinorder(_u8321) | ( _u8322 != _u8323) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u8321), _u8322) = hAPP(c_SetInterval_Oord__class_OlessThan(_u8321), _u8323)) )).
% 19.53/19.77 cnf(matrix-4674, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8324)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u8324), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8324))) )).
% 19.53/19.77 cnf(matrix-4675, plain, ( ~class_Orderings_Oord(_u8325) | ~hBOOL(hAPP(hAPP(c_member(_u8325), _u8326), hAPP(c_SetInterval_Oord__class_OlessThan(_u8325), _u8327))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8325), _u8326), _u8327)) )).
% 19.53/19.77 cnf(matrix-4676, plain, ( ~class_Orderings_Oord(_u8325) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8325), _u8326), _u8327)) | hBOOL(hAPP(hAPP(c_member(_u8325), _u8326), hAPP(c_SetInterval_Oord__class_OlessThan(_u8325), _u8327))) )).
% 19.53/19.77 cnf(matrix-4677, plain, ( ~class_Orderings_Olinorder(_u8328) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8328, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8328), _u8329)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8328), _u8330))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8328), _u8329), _u8330)) )).
% 19.53/19.77 cnf(matrix-4678, plain, ( ~class_Orderings_Olinorder(_u8328) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8328), _u8329), _u8330)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8328, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8328), _u8329)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8328), _u8330))) )).
% 19.53/19.77 cnf(matrix-4679, plain, ( ~class_Groups_Ocomm__monoid__add(_u8331) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8331), _u8332), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8333))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8331), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8331), _u8332), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8333))), hAPP(_u8332, _u8333))) )).
% 19.53/19.77 cnf(matrix-4680, plain, ( ~class_Orderings_Olinorder(_u8334) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8334, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8334), _u8335)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8334), _u8336))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8334), _u8335), _u8336)) )).
% 19.53/19.77 cnf(matrix-4681, plain, ( ~class_Orderings_Olinorder(_u8334) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8334), _u8335), _u8336)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8334, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8334), _u8335)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8334), _u8336))) )).
% 19.53/19.77 cnf(matrix-4682, plain, ( ~class_Orderings_Oorder(_u8337) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8337, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u8337), _u8338), c_Orderings_Obot__class_Obot(tc_fun(_u8337, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OlessThan(_u8337), _u8338)) = hAPP(hAPP(c_Set_Oinsert(_u8337), _u8338), c_Orderings_Obot__class_Obot(tc_fun(_u8337, tc_HOL_Obool)))) )).
% 19.53/19.77 cnf(matrix-4683, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8344)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8339), _u8344)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8339), skolem164(_u8344))) )).
% 19.53/19.77 cnf(matrix-4684, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8345)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem165(_u8345, _u8342)), _u8345)) )).
% 19.53/19.77 cnf(matrix-4685, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8345)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem165(_u8345, _u8342)), _u8342)) )).
% 19.53/19.77 cnf(matrix-4686, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8351)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u8346), _u8351)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8346), skolem166(_u8351))) )).
% 19.53/19.77 cnf(matrix-4687, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8352)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem167(_u8352, _u8349)), _u8352)) )).
% 19.53/19.77 cnf(matrix-4688, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u8352)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem167(_u8352, _u8349)), _u8349)) )).
% 19.53/19.77 cnf(matrix-4689, plain, ( ~class_Rings_Ocomm__semiring__1(_u8353) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8353), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8353), c_Groups_Oone__class_Oone(_u8353)), c_Groups_Oone__class_Oone(_u8353))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8353), hAPP(hAPP(c_COMBB(_u8353, _u8353, tc_Nat_Onat), hAPP(c_Groups_Oplus__class_Oplus(_u8353), _u8354)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u8353, _u8353), hAPP(hAPP(c_COMBB(_u8353, tc_fun(_u8353, _u8353), tc_Nat_Onat), c_Groups_Otimes__class_Otimes(_u8353)), c_Nat_Osemiring__1__class_Oof__nat(_u8353))), _u8355))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8356))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8353), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8353), _u8356)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8353), _u8354), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8353), _u8354), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8353), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8353), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8356), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u8355))))) )).
% 19.53/19.77 cnf(matrix-4690, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8357)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Otimes__class_Otimes(tc_Nat_Onat)), _u8358))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8359))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8359), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8357), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8357), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8359), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u8358))))) )).
% 19.53/19.77 cnf(matrix-4691, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8360)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u8360)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 19.53/19.77 cnf(matrix-4692, plain, ( ( c_Product__Type_Oprod_Oprod__rec(_u8361, _u8362, _u8363, _u8364, hAPP(hAPP(c_Product__Type_OPair(_u8361, _u8362), _u8365), _u8366)) = hAPP(hAPP(_u8364, _u8365), _u8366)) )).
% 19.53/19.77 cnf(matrix-4693, plain, ( hBOOL(hAPP(hAPP(_u8375, _u8373), _u8377)) | ~hBOOL(hAPP(hAPP(c_member(_u8371), _u8373), c_SetInterval_Oord_OatMost(_u8371, _u8375, _u8377))) )).
% 19.53/19.77 cnf(matrix-4694, plain, ( ~hBOOL(hAPP(hAPP(_u8376, _u8374), _u8378)) | hBOOL(hAPP(hAPP(c_member(_u8372), _u8374), c_SetInterval_Oord_OatMost(_u8372, _u8376, _u8378))) )).
% 19.53/19.77 cnf(matrix-4695, plain, ( hBOOL(hAPP(hAPP(_u8387, _u8389), _u8385)) | ~hBOOL(hAPP(hAPP(c_member(_u8383), _u8385), c_SetInterval_Oord_OatLeast(_u8383, _u8387, _u8389))) )).
% 19.53/19.77 cnf(matrix-4696, plain, ( ~hBOOL(hAPP(hAPP(_u8388, _u8390), _u8386)) | hBOOL(hAPP(hAPP(c_member(_u8384), _u8386), c_SetInterval_Oord_OatLeast(_u8384, _u8388, _u8390))) )).
% 19.53/19.77 cnf(matrix-4697, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u8391) = _u8391) )).
% 19.53/19.77 cnf(matrix-4698, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 19.53/19.77 cnf(matrix-4699, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-4700, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8398), _u8400), c_SetInterval_Oord_OgreaterThanAtMost(_u8398, _u8402, _u8404, _u8406, _u8408))) | hBOOL(hAPP(hAPP(_u8404, _u8406), _u8400)) )).
% 19.53/19.77 cnf(matrix-4701, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8398), _u8400), c_SetInterval_Oord_OgreaterThanAtMost(_u8398, _u8402, _u8404, _u8406, _u8408))) | hBOOL(hAPP(hAPP(_u8402, _u8400), _u8408)) )).
% 19.53/19.77 cnf(matrix-4702, plain, ( ~hBOOL(hAPP(hAPP(_u8405, _u8407), _u8401)) | ~hBOOL(hAPP(hAPP(_u8403, _u8401), _u8409)) | hBOOL(hAPP(hAPP(c_member(_u8399), _u8401), c_SetInterval_Oord_OgreaterThanAtMost(_u8399, _u8403, _u8405, _u8407, _u8409))) )).
% 19.53/19.77 cnf(matrix-4703, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8416), _u8418), c_SetInterval_Oord_OatLeastLessThan(_u8416, _u8420, _u8422, _u8424, _u8426))) | hBOOL(hAPP(hAPP(_u8420, _u8424), _u8418)) )).
% 19.53/19.77 cnf(matrix-4704, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8416), _u8418), c_SetInterval_Oord_OatLeastLessThan(_u8416, _u8420, _u8422, _u8424, _u8426))) | hBOOL(hAPP(hAPP(_u8422, _u8418), _u8426)) )).
% 19.53/19.77 cnf(matrix-4705, plain, ( ~hBOOL(hAPP(hAPP(_u8421, _u8425), _u8419)) | ~hBOOL(hAPP(hAPP(_u8423, _u8419), _u8427)) | hBOOL(hAPP(hAPP(c_member(_u8417), _u8419), c_SetInterval_Oord_OatLeastLessThan(_u8417, _u8421, _u8423, _u8425, _u8427))) )).
% 19.53/19.77 cnf(matrix-4706, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8433), _u8435), c_SetInterval_Oord_OgreaterThanLessThan(_u8433, _u8437, _u8439, _u8441))) | hBOOL(hAPP(hAPP(_u8437, _u8439), _u8435)) )).
% 19.53/19.77 cnf(matrix-4707, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8433), _u8435), c_SetInterval_Oord_OgreaterThanLessThan(_u8433, _u8437, _u8439, _u8441))) | hBOOL(hAPP(hAPP(_u8437, _u8435), _u8441)) )).
% 19.53/19.77 cnf(matrix-4708, plain, ( ~hBOOL(hAPP(hAPP(_u8438, _u8440), _u8436)) | ~hBOOL(hAPP(hAPP(_u8438, _u8436), _u8442)) | hBOOL(hAPP(hAPP(c_member(_u8434), _u8436), c_SetInterval_Oord_OgreaterThanLessThan(_u8434, _u8438, _u8440, _u8442))) )).
% 19.53/19.77 cnf(matrix-4709, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8448), _u8450), c_SetInterval_Oord_OatLeastAtMost(_u8448, _u8452, _u8454, _u8456))) | hBOOL(hAPP(hAPP(_u8452, _u8454), _u8450)) )).
% 19.53/19.77 cnf(matrix-4710, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8448), _u8450), c_SetInterval_Oord_OatLeastAtMost(_u8448, _u8452, _u8454, _u8456))) | hBOOL(hAPP(hAPP(_u8452, _u8450), _u8456)) )).
% 19.53/19.77 cnf(matrix-4711, plain, ( ~hBOOL(hAPP(hAPP(_u8453, _u8455), _u8451)) | ~hBOOL(hAPP(hAPP(_u8453, _u8451), _u8457)) | hBOOL(hAPP(hAPP(c_member(_u8449), _u8451), c_SetInterval_Oord_OatLeastAtMost(_u8449, _u8453, _u8455, _u8457))) )).
% 19.53/19.77 cnf(matrix-4712, plain, ( hBOOL(hAPP(hAPP(_u8466, _u8464), _u8468)) | ~hBOOL(hAPP(hAPP(c_member(_u8462), _u8464), c_SetInterval_Oord_OlessThan(_u8462, _u8466, _u8468))) )).
% 19.53/19.77 cnf(matrix-4713, plain, ( ~hBOOL(hAPP(hAPP(_u8467, _u8465), _u8469)) | hBOOL(hAPP(hAPP(c_member(_u8463), _u8465), c_SetInterval_Oord_OlessThan(_u8463, _u8467, _u8469))) )).
% 19.53/19.77 cnf(matrix-4714, plain, ( hBOOL(hAPP(hAPP(_u8478, _u8480), _u8476)) | ~hBOOL(hAPP(hAPP(c_member(_u8474), _u8476), c_SetInterval_Oord_OgreaterThan(_u8474, _u8478, _u8480))) )).
% 19.53/19.77 cnf(matrix-4715, plain, ( ~hBOOL(hAPP(hAPP(_u8479, _u8481), _u8477)) | hBOOL(hAPP(hAPP(c_member(_u8475), _u8477), c_SetInterval_Oord_OgreaterThan(_u8475, _u8479, _u8481))) )).
% 19.53/19.77 cnf(matrix-4716, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u8490, _u8492), tc_prod(_u8490, _u8492))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u8490, _u8492), tc_prod(_u8490, _u8492)), hAPP(hAPP(c_Product__Type_OPair(_u8490, _u8492), _u8494), _u8496)), hAPP(hAPP(c_Product__Type_OPair(_u8490, _u8492), _u8498), _u8500))), c_Wellfounded_Olex__prod(_u8490, _u8492, _u8502, _u8504))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8490, _u8490)), hAPP(hAPP(c_Product__Type_OPair(_u8490, _u8490), _u8494), _u8498)), _u8502)) | ( _u8494 = _u8498) )).
% 19.53/19.77 cnf(matrix-4717, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u8490, _u8492), tc_prod(_u8490, _u8492))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u8490, _u8492), tc_prod(_u8490, _u8492)), hAPP(hAPP(c_Product__Type_OPair(_u8490, _u8492), _u8494), _u8496)), hAPP(hAPP(c_Product__Type_OPair(_u8490, _u8492), _u8498), _u8500))), c_Wellfounded_Olex__prod(_u8490, _u8492, _u8502, _u8504))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8490, _u8490)), hAPP(hAPP(c_Product__Type_OPair(_u8490, _u8490), _u8494), _u8498)), _u8502)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u8492, _u8492)), hAPP(hAPP(c_Product__Type_OPair(_u8492, _u8492), _u8496), _u8500)), _u8504)) )).
% 19.53/19.77 cnf(matrix-4718, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u8491, _u8493), tc_prod(_u8491, _u8493))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u8491, _u8493), tc_prod(_u8491, _u8493)), hAPP(hAPP(c_Product__Type_OPair(_u8491, _u8493), _u8495), _u8497)), hAPP(hAPP(c_Product__Type_OPair(_u8491, _u8493), _u8499), _u8501))), c_Wellfounded_Olex__prod(_u8491, _u8493, _u8503, _u8505))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8491, _u8491)), hAPP(hAPP(c_Product__Type_OPair(_u8491, _u8491), _u8495), _u8499)), _u8503)) )).
% 19.53/19.77 cnf(matrix-4719, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u8491, _u8493), tc_prod(_u8491, _u8493))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u8491, _u8493), tc_prod(_u8491, _u8493)), hAPP(hAPP(c_Product__Type_OPair(_u8491, _u8493), _u8495), _u8497)), hAPP(hAPP(c_Product__Type_OPair(_u8491, _u8493), _u8499), _u8501))), c_Wellfounded_Olex__prod(_u8491, _u8493, _u8503, _u8505))) | ( _u8495 != _u8499) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8493, _u8493)), hAPP(hAPP(c_Product__Type_OPair(_u8493, _u8493), _u8497), _u8501)), _u8505)) )).
% 19.53/19.77 cnf(matrix-4720, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8509, tc_HOL_Obool), tc_fun(_u8509, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8509, tc_HOL_Obool), tc_fun(_u8509, tc_HOL_Obool)), _u8511), _u8513)), c_Wellfounded_Ofinite__psubset(_u8509))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8509, tc_HOL_Obool)), _u8511), _u8513)) )).
% 19.53/19.77 cnf(matrix-4721, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8509, tc_HOL_Obool), tc_fun(_u8509, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8509, tc_HOL_Obool), tc_fun(_u8509, tc_HOL_Obool)), _u8511), _u8513)), c_Wellfounded_Ofinite__psubset(_u8509))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8509), _u8513)) )).
% 19.53/19.77 cnf(matrix-4722, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u8510, tc_HOL_Obool)), _u8512), _u8514)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8510), _u8514)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u8510, tc_HOL_Obool), tc_fun(_u8510, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u8510, tc_HOL_Obool), tc_fun(_u8510, tc_HOL_Obool)), _u8512), _u8514)), c_Wellfounded_Ofinite__psubset(_u8510))) )).
% 19.53/19.77 cnf(matrix-4723, plain, ( ~hBOOL(hAPP(_u8515, _u8516)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u8517, _u8517)), hAPP(hAPP(c_Product__Type_OPair(_u8517, _u8517), _u8518), _u8519)), hAPP(_u8520, _u8516))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u8521, _u8517), tc_prod(_u8521, _u8517))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u8521, _u8517), tc_prod(_u8521, _u8517)), hAPP(hAPP(c_Product__Type_OPair(_u8521, _u8517), _u8516), _u8518)), hAPP(hAPP(c_Product__Type_OPair(_u8521, _u8517), _u8516), _u8519))), c_Recdef_Osame__fst(_u8521, _u8517, _u8515, _u8520))) )).
% 19.53/19.77 cnf(matrix-4724, plain, ( ~class_Groups_Oordered__ab__group__add(_u8523) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8524), _u8525)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8524, _u8523), _u8526), _u8525) != _u8527) | ~hBOOL(hAPP(hAPP(c_member(_u8524), _u8528), _u8525)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8523), hAPP(_u8526, _u8528)), _u8527)) | hBOOL(hAPP(hAPP(c_member(_u8524), skolem168(_u8528, _u8527, _u8526, _u8525, _u8524, _u8523)), _u8525)) )).
% 19.53/19.77 cnf(matrix-4725, plain, ( ~class_Groups_Oordered__ab__group__add(_u8523) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8524), _u8525)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8524, _u8523), _u8526), _u8525) != _u8527) | ~hBOOL(hAPP(hAPP(c_member(_u8524), _u8528), _u8525)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8523), hAPP(_u8526, _u8528)), _u8527)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8523), c_Groups_Ozero__class_Ozero(_u8523)), hAPP(_u8526, skolem168(_u8528, _u8527, _u8526, _u8525, _u8524, _u8523)))) )).
% 19.53/19.77 cnf(matrix-4726, plain, ( ~class_Groups_Oordered__ab__group__add(_u8530) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8531), _u8532)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8531, _u8530), _u8533), _u8532) != c_Groups_Ozero__class_Ozero(_u8530)) | ~hBOOL(hAPP(hAPP(c_member(_u8531), _u8534), _u8532)) | ( hAPP(_u8533, _u8534) = c_Groups_Ozero__class_Ozero(_u8530)) | hBOOL(hAPP(hAPP(c_member(_u8531), skolem169(_u8534, _u8533, _u8532, _u8531, _u8530)), _u8532)) )).
% 19.53/19.77 cnf(matrix-4727, plain, ( ~class_Groups_Oordered__ab__group__add(_u8530) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8531), _u8532)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8531, _u8530), _u8533), _u8532) != c_Groups_Ozero__class_Ozero(_u8530)) | ~hBOOL(hAPP(hAPP(c_member(_u8531), _u8534), _u8532)) | ( hAPP(_u8533, _u8534) = c_Groups_Ozero__class_Ozero(_u8530)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8530), c_Groups_Ozero__class_Ozero(_u8530)), hAPP(_u8533, skolem169(_u8534, _u8533, _u8532, _u8531, _u8530)))) )).
% 19.53/19.77 cnf(matrix-4728, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8535)), hAPP(c_Nat_OSuc, _u8536)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u8535))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_Int_Oint), c_If(tc_Nat_Onat)), c_Nat__Numeral_Oneg)), hAPP(c_Nat_OSuc, _u8536))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Int_Oint), c_Nat_OSuc), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_Int_Oint), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Int_Onat)), _u8536))))) )).
% 19.53/19.77 cnf(matrix-4729, plain, ( ~class_Orderings_Olinorder(_u8537) | c_Finite__Set_Ofun__left__comm__idem(_u8537, _u8537, c_Orderings_Oord__class_Omax(_u8537)) )).
% 19.53/19.77 cnf(matrix-4730, plain, ( ~class_Orderings_Olinorder(_u8538) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8538), _u8539), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8538), _u8540), _u8541))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8538), _u8539), _u8540)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8538), _u8539), _u8541)) )).
% 19.53/19.77 cnf(matrix-4731, plain, ( ~class_Orderings_Olinorder(_u8538) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8538), _u8539), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8538), _u8540), _u8541))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8538), _u8539), _u8540)) )).
% 19.53/19.77 cnf(matrix-4732, plain, ( ~class_Orderings_Olinorder(_u8538) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8538), _u8539), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8538), _u8540), _u8541))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8538), _u8539), _u8541)) )).
% 19.53/19.77 cnf(matrix-4733, plain, ( ~class_Orderings_Olinorder(_u8542) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8542), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8542), _u8543), _u8544)), _u8545)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8542), _u8543), _u8545)) )).
% 19.53/19.77 cnf(matrix-4734, plain, ( ~class_Orderings_Olinorder(_u8542) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8542), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8542), _u8543), _u8544)), _u8545)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8542), _u8544), _u8545)) )).
% 19.53/19.77 cnf(matrix-4735, plain, ( ~class_Orderings_Olinorder(_u8546) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8546), _u8547), _u8548)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8546), _u8549), _u8550)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8546), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8546), _u8547), _u8549)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8546), _u8548), _u8550))) )).
% 19.53/19.77 cnf(matrix-4736, plain, ( ~class_Orderings_Olinorder(_u8551) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8551), _u8552), _u8553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8551), _u8554), _u8553)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8551), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8551), _u8552), _u8554)), _u8553)) )).
% 19.53/19.77 cnf(matrix-4737, plain, ( ~class_Orderings_Olinorder(_u8555) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8555), _u8556), _u8557)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8555), _u8558), _u8557)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8555), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8555), _u8556), _u8558)), _u8557)) )).
% 19.53/19.77 cnf(matrix-4738, plain, ( ~class_Orderings_Olinorder(_u8559) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8559), _u8560), _u8561)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8559), _u8561), _u8560) = _u8561) )).
% 19.53/19.77 cnf(matrix-4739, plain, ( ~class_Orderings_Olinorder(_u8562) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8562), _u8563), _u8564)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8562), _u8563), _u8564) = _u8564) )).
% 19.53/19.77 cnf(matrix-4740, plain, ( ~class_Orderings_Olinorder(_u8565) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8565), _u8566), _u8567)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8565), _u8566), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8565), _u8568), _u8567))) )).
% 19.53/19.77 cnf(matrix-4741, plain, ( ~class_Orderings_Olinorder(_u8569) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8569), _u8570), _u8571)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8569), _u8570), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8569), _u8571), _u8572))) )).
% 19.53/19.77 cnf(matrix-4742, plain, ( ~class_Orderings_Olinorder(_u8573) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8573), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8573), _u8574), _u8575)), _u8576)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8573), _u8574), _u8576)) )).
% 19.53/19.77 cnf(matrix-4743, plain, ( ~class_Orderings_Olinorder(_u8573) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8573), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8573), _u8574), _u8575)), _u8576)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8573), _u8575), _u8576)) )).
% 19.53/19.77 cnf(matrix-4744, plain, ( ~class_Orderings_Olinorder(_u8573) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8573), _u8574), _u8576)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8573), _u8575), _u8576)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8573), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8573), _u8574), _u8575)), _u8576)) )).
% 19.53/19.77 cnf(matrix-4745, plain, ( ~class_Orderings_Olinorder(_u8577) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8577), _u8578), _u8579)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8577), _u8578), _u8579) = _u8579) )).
% 19.53/19.77 cnf(matrix-4746, plain, ( ~class_Orderings_Olinorder(_u8577) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8577), _u8578), _u8579) != _u8579) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8577), _u8578), _u8579)) )).
% 19.53/19.77 cnf(matrix-4747, plain, ( ~class_Orderings_Olinorder(_u8580) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8580), _u8581), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8580), _u8582), _u8581))) )).
% 19.53/19.77 cnf(matrix-4748, plain, ( ~class_Orderings_Olinorder(_u8583) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8583), _u8584), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8583), _u8584), _u8585))) )).
% 19.53/19.77 cnf(matrix-4749, plain, ( ~class_Lattices_Osemilattice__sup(_u8586) | ~class_Orderings_Olinorder(_u8586) | ( c_Lattices_Osemilattice__sup__class_Osup(_u8586) = c_Orderings_Oord__class_Omax(_u8586)) )).
% 19.53/19.77 cnf(matrix-4750, plain, ( ( c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat)) )).
% 19.53/19.77 cnf(matrix-4751, plain, ( ~class_Orderings_Olinorder(_u8587) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8587), _u8588), _u8588) = _u8588) )).
% 19.53/19.77 cnf(matrix-4752, plain, ( ~class_Orderings_Olinorder(_u8589) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8589), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8589), _u8590), _u8591)), _u8592) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8589), _u8590), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8589), _u8591), _u8592))) )).
% 19.53/19.77 cnf(matrix-4753, plain, ( ~class_Orderings_Olinorder(_u8593) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8593), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8593), _u8594), _u8595)), _u8596) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8593), _u8594), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8593), _u8595), _u8596))) )).
% 19.53/19.77 cnf(matrix-4754, plain, ( ~class_Orderings_Olinorder(_u8597) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8597), _u8598), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8597), _u8599), _u8600)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8597), _u8599), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8597), _u8598), _u8600))) )).
% 19.53/19.77 cnf(matrix-4755, plain, ( ~class_Orderings_Olinorder(_u8601) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8601), _u8602), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8601), _u8603), _u8604)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8601), _u8603), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8601), _u8602), _u8604))) )).
% 19.53/19.77 cnf(matrix-4756, plain, ( ~class_Orderings_Olinorder(_u8605) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8605), _u8606), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8605), _u8606), _u8607)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8605), _u8606), _u8607)) )).
% 19.53/19.77 cnf(matrix-4757, plain, ( ~class_Orderings_Olinorder(_u8608) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8608), _u8609), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8608), _u8609), _u8610)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8608), _u8609), _u8610)) )).
% 19.53/19.77 cnf(matrix-4758, plain, ( ~class_Orderings_Olinorder(_u8611) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8611), _u8612), _u8613) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8611), _u8613), _u8612)) )).
% 19.53/19.77 cnf(matrix-4759, plain, ( ~class_Orderings_Olinorder(_u8614) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8614), _u8615), _u8616) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8614), _u8616), _u8615)) )).
% 19.53/19.77 cnf(matrix-4760, plain, ( ~class_Orderings_Olinorder(_u8617) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8617), _u8618), _u8618) = _u8618) )).
% 19.53/19.77 cnf(matrix-4761, plain, ( ~class_Orderings_Olinorder(_u8619) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8619), _u8620), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8619), _u8620), _u8621)) = _u8620) )).
% 19.53/19.77 cnf(matrix-4762, plain, ( ~class_Orderings_Olinorder(_u8622) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8622), _u8623), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8622), _u8623), _u8624)) = _u8623) )).
% 19.53/19.77 cnf(matrix-4763, plain, ( ~class_Orderings_Olinorder(_u8625) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8625), _u8626), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8625), _u8627), _u8628)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8625), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8625), _u8626), _u8627)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8625), _u8626), _u8628))) )).
% 19.53/19.77 cnf(matrix-4764, plain, ( ~class_Orderings_Olinorder(_u8629) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8629), _u8630), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8629), _u8631), _u8632)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8629), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8629), _u8630), _u8631)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8629), _u8630), _u8632))) )).
% 19.53/19.77 cnf(matrix-4765, plain, ( ~class_Orderings_Olinorder(_u8633) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8633), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8633), _u8634), _u8635)), _u8636) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8633), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8633), _u8634), _u8636)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8633), _u8635), _u8636))) )).
% 19.53/19.77 cnf(matrix-4766, plain, ( ~class_Orderings_Olinorder(_u8637) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8637), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8637), _u8638), _u8639)), _u8640) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8637), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8637), _u8638), _u8640)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8637), _u8639), _u8640))) )).
% 19.53/19.77 cnf(matrix-4767, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8641)), hAPP(c_Nat_OSuc, _u8642)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u8641), _u8642))) )).
% 19.53/19.77 cnf(matrix-4768, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u8643), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u8643) )).
% 19.53/19.77 cnf(matrix-4769, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8644) = _u8644) )).
% 19.53/19.77 cnf(matrix-4770, plain, ( ~class_Groups_Oordered__ab__group__add(_u8645) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8645), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8645), _u8646), _u8647)), _u8648) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8645), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8645), _u8646), _u8648)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8645), _u8647), _u8648))) )).
% 19.53/19.77 cnf(matrix-4771, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u8649) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8649), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8649), _u8650), _u8651)), _u8652) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8649), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8649), _u8650), _u8652)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8649), _u8651), _u8652))) )).
% 19.53/19.77 cnf(matrix-4772, plain, ( ~class_Orderings_Olinorder(_u8653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8653), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8653), _u8654), _u8655)), _u8656)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8653), _u8654), _u8656)) )).
% 19.53/19.77 cnf(matrix-4773, plain, ( ~class_Orderings_Olinorder(_u8653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8653), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8653), _u8654), _u8655)), _u8656)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8653), _u8655), _u8656)) )).
% 19.53/19.77 cnf(matrix-4774, plain, ( ~class_Orderings_Olinorder(_u8653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8653), _u8654), _u8656)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8653), _u8655), _u8656)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8653), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8653), _u8654), _u8655)), _u8656)) )).
% 19.53/19.77 cnf(matrix-4775, plain, ( ~class_Orderings_Olinorder(_u8657) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8657), _u8658), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8657), _u8659), _u8660))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8657), _u8658), _u8659)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8657), _u8658), _u8660)) )).
% 19.53/19.77 cnf(matrix-4776, plain, ( ~class_Orderings_Olinorder(_u8657) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8657), _u8658), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8657), _u8659), _u8660))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8657), _u8658), _u8659)) )).
% 19.53/19.77 cnf(matrix-4777, plain, ( ~class_Orderings_Olinorder(_u8657) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8657), _u8658), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8657), _u8659), _u8660))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8657), _u8658), _u8660)) )).
% 19.53/19.77 cnf(matrix-4778, plain, ( ~class_Orderings_Olinorder(_u8661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8661), _u8662), _u8663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8661), _u8662), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8661), _u8664), _u8663))) )).
% 19.53/19.77 cnf(matrix-4779, plain, ( ~class_Orderings_Olinorder(_u8665) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8665), _u8666), _u8667)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8665), _u8666), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8665), _u8667), _u8668))) )).
% 19.53/19.77 cnf(matrix-4780, plain, ( ~class_Int_Onumber(_u8669) | ~class_Orderings_Oord(_u8669) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8669), hAPP(c_Int_Onumber__class_Onumber__of(_u8669), _u8670)), hAPP(c_Int_Onumber__class_Onumber__of(_u8669), _u8671))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8669), hAPP(c_Int_Onumber__class_Onumber__of(_u8669), _u8670)), hAPP(c_Int_Onumber__class_Onumber__of(_u8669), _u8671)) = hAPP(c_Int_Onumber__class_Onumber__of(_u8669), _u8671)) )).
% 19.53/19.77 cnf(matrix-4781, plain, ( ~class_Int_Onumber(_u8669) | ~class_Orderings_Oord(_u8669) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8669), hAPP(c_Int_Onumber__class_Onumber__of(_u8669), _u8670)), hAPP(c_Int_Onumber__class_Onumber__of(_u8669), _u8671))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8669), hAPP(c_Int_Onumber__class_Onumber__of(_u8669), _u8670)), hAPP(c_Int_Onumber__class_Onumber__of(_u8669), _u8671)) = hAPP(c_Int_Onumber__class_Onumber__of(_u8669), _u8670)) )).
% 19.53/19.77 cnf(matrix-4782, plain, ( ~class_Orderings_Olinorder(_u8672) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8672), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8672), _u8673), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8672), _u8674), _u8675))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8672), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8672), _u8673), _u8674)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8672), _u8673), _u8675)))) )).
% 19.53/19.77 cnf(matrix-4783, plain, ( ~class_Orderings_Olinorder(_u8676) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8676), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8676), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8676), _u8677), _u8678)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8676), _u8677), _u8679))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8676), _u8677), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8676), _u8678), _u8679)))) )).
% 19.53/19.77 cnf(matrix-4784, plain, ( ~class_Groups_Olinordered__ab__group__add(_u8680) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8680), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8680), _u8681), _u8682)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8680), hAPP(c_Groups_Ouminus__class_Ouminus(_u8680), _u8681)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8680), _u8682))) )).
% 19.53/19.77 cnf(matrix-4785, plain, ( ~class_Groups_Olinordered__ab__group__add(_u8683) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8683), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8683), _u8684), _u8685)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8683), hAPP(c_Groups_Ouminus__class_Ouminus(_u8683), _u8684)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8683), _u8685))) )).
% 19.53/19.77 cnf(matrix-4786, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8686), _u8687)), _u8687) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u8686), _u8687)) )).
% 19.53/19.77 cnf(matrix-4787, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8688)), _u8689) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8688), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u8688)), _u8689)) )).
% 19.53/19.77 cnf(matrix-4788, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u8690), hAPP(c_Nat_OSuc, _u8691)) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u8691), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), _u8691)), _u8690)) )).
% 19.53/19.77 cnf(matrix-4789, plain, ( ~class_Orderings_Oord(_u8692) | ( c_Orderings_Oord__class_Omax(_u8692) = c_Orderings_Oord_Omax(_u8692, c_Orderings_Oord__class_Oless__eq(_u8692))) )).
% 19.53/19.77 cnf(matrix-4790, plain, ( ~class_Orderings_Olinorder(_u8693) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8693), _u8694)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u8693, _u8693, c_Orderings_Oord__class_Omax(_u8693)), _u8695), hAPP(hAPP(c_Set_Oinsert(_u8693), _u8696), _u8694)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8693), _u8696), hAPP(hAPP(c_Finite__Set_Ofold(_u8693, _u8693, c_Orderings_Oord__class_Omax(_u8693)), _u8695), _u8694))) )).
% 19.53/19.77 cnf(matrix-4791, plain, ( ~class_Orderings_Olinorder(_u8697) | ( c_Orderings_Oord_Omin(_u8697, hAPP(c_COMBC(_u8697, _u8697, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u8697))) = c_Orderings_Oord__class_Omax(_u8697)) )).
% 19.53/19.77 cnf(matrix-4792, plain, ( ~class_Orderings_Olinorder(_u8698) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8698), _u8699)) | ~hBOOL(hAPP(hAPP(c_member(_u8698), _u8700), _u8699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8698), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8698), _u8700), _u8701)), hAPP(hAPP(c_Finite__Set_Ofold(_u8698, _u8698, c_Orderings_Oord__class_Omax(_u8698)), _u8701), _u8699))) )).
% 19.53/19.77 cnf(matrix-4793, plain, ( ~class_Orderings_Olinorder(_u8702) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8702), _u8703)) | ~hBOOL(hAPP(hAPP(c_member(_u8702), _u8704), _u8703)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8702), _u8704), c_Big__Operators_Olattice_OInf__fin(_u8702, c_Orderings_Oord__class_Omin(_u8702), _u8703)) = _u8704) )).
% 19.53/19.77 cnf(matrix-4794, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u8705)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u8706)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u8706))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_Int_Oint), c_If(tc_Nat_Onat)), c_Nat__Numeral_Oneg)), hAPP(c_Nat_OSuc, _u8705))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Int_Oint), c_Nat_OSuc), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Int_Oint), hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u8705)), c_Int_Onat))))) )).
% 19.53/19.77 cnf(matrix-4795, plain, ( ~class_Orderings_Olinorder(_u8707) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8707), _u8708)) | ~hBOOL(hAPP(hAPP(c_member(_u8707), _u8709), _u8708)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8707, tc_HOL_Obool)), _u8708), hAPP(hAPP(c_Set_Oinsert(_u8707), _u8709), c_Orderings_Obot__class_Obot(tc_fun(_u8707, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8707, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8707, _u8708) = _u8709) )).
% 19.53/19.77 cnf(matrix-4796, plain, ( ~class_Orderings_Olinorder(_u8707) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8707), _u8708)) | ~hBOOL(hAPP(hAPP(c_member(_u8707), _u8709), _u8708)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8707, tc_HOL_Obool)), _u8708), hAPP(hAPP(c_Set_Oinsert(_u8707), _u8709), c_Orderings_Obot__class_Obot(tc_fun(_u8707, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8707, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8707, _u8708) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8707), _u8709), c_Big__Operators_Olinorder__class_OMax(_u8707, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8707, tc_HOL_Obool)), _u8708), hAPP(hAPP(c_Set_Oinsert(_u8707), _u8709), c_Orderings_Obot__class_Obot(tc_fun(_u8707, tc_HOL_Obool))))))) )).
% 19.53/19.77 cnf(matrix-4797, plain, ( ~class_Orderings_Olinorder(_u8710) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8710), _u8711)) | ( _u8711 = c_Orderings_Obot__class_Obot(tc_fun(_u8710, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8710), c_Big__Operators_Olattice_OInf__fin(_u8710, c_Orderings_Oord__class_Omin(_u8710), _u8711)), c_Big__Operators_Olattice_OSup__fin(_u8710, c_Orderings_Oord__class_Omax(_u8710), _u8711))) )).
% 19.53/19.77 cnf(matrix-4798, plain, ( ~class_Orderings_Olinorder(_u8712) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8712), _u8713)) | ~hBOOL(hAPP(hAPP(c_member(_u8712), _u8714), _u8713)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8712, tc_HOL_Obool)), _u8713), hAPP(hAPP(c_Set_Oinsert(_u8712), _u8714), c_Orderings_Obot__class_Obot(tc_fun(_u8712, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8712, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u8712, c_Orderings_Oord__class_Omax(_u8712), _u8713) = _u8714) )).
% 19.53/19.77 cnf(matrix-4799, plain, ( ~class_Orderings_Olinorder(_u8712) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8712), _u8713)) | ~hBOOL(hAPP(hAPP(c_member(_u8712), _u8714), _u8713)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8712, tc_HOL_Obool)), _u8713), hAPP(hAPP(c_Set_Oinsert(_u8712), _u8714), c_Orderings_Obot__class_Obot(tc_fun(_u8712, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8712, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u8712, c_Orderings_Oord__class_Omax(_u8712), _u8713) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8712), _u8714), c_Big__Operators_Olattice_OSup__fin(_u8712, c_Orderings_Oord__class_Omax(_u8712), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8712, tc_HOL_Obool)), _u8713), hAPP(hAPP(c_Set_Oinsert(_u8712), _u8714), c_Orderings_Obot__class_Obot(tc_fun(_u8712, tc_HOL_Obool))))))) )).
% 19.53/19.77 cnf(matrix-4800, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u8716, skolem170(_u8718, _u8717, _u8716))), hAPP(_u8717, skolem170(_u8718, _u8717, _u8716)))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u8717), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8718))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u8716), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8718))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)), _u8717)), _u8716)), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u8718))) )).
% 19.53/19.77 cnf(matrix-4801, plain, ( ~class_Orderings_Olinorder(_u8719) | ( c_Big__Operators_Olinorder__class_OMax(_u8719, hAPP(hAPP(c_Set_Oinsert(_u8719), _u8720), c_Orderings_Obot__class_Obot(tc_fun(_u8719, tc_HOL_Obool)))) = _u8720) )).
% 19.53/19.77 cnf(matrix-4802, plain, ( ~class_Orderings_Olinorder(_u8721) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8721), _u8722)) | ~hBOOL(hAPP(hAPP(c_member(_u8721), _u8723), _u8722)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8721), _u8723), c_Big__Operators_Olattice_OSup__fin(_u8721, c_Orderings_Oord__class_Omax(_u8721), _u8722)) = c_Big__Operators_Olattice_OSup__fin(_u8721, c_Orderings_Oord__class_Omax(_u8721), _u8722)) )).
% 19.53/19.77 cnf(matrix-4803, plain, ( ~class_Orderings_Olinorder(_u8724) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8724), _u8725)) | ~hBOOL(hAPP(hAPP(c_member(_u8724), _u8726), _u8725)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8724), _u8726), c_Big__Operators_Olinorder__class_OMax(_u8724, _u8725))) )).
% 19.53/19.77 cnf(matrix-4804, plain, ( ~class_Orderings_Olinorder(_u8727) | ( c_Big__Operators_Olattice_OSup__fin(_u8727, c_Orderings_Oord__class_Omax(_u8727), hAPP(hAPP(c_Set_Oinsert(_u8727), _u8728), c_Orderings_Obot__class_Obot(tc_fun(_u8727, tc_HOL_Obool)))) = _u8728) )).
% 19.53/19.77 cnf(matrix-4805, plain, ( ~class_Orderings_Olinorder(_u8729) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8729), _u8730)) | ( _u8730 = c_Orderings_Obot__class_Obot(tc_fun(_u8729, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u8729), c_Big__Operators_Olinorder__class_OMax(_u8729, _u8730)), _u8730)) )).
% 19.53/19.77 cnf(matrix-4806, plain, ( ~class_Orderings_Olinorder(_u8731) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8731), _u8732)) | ~hBOOL(hAPP(hAPP(c_member(_u8731), _u8733), _u8732)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8731), _u8733), c_Big__Operators_Olinorder__class_OMax(_u8731, _u8732)) = c_Big__Operators_Olinorder__class_OMax(_u8731, _u8732)) )).
% 19.53/19.77 cnf(matrix-4807, plain, ( ~class_Orderings_Olinorder(_u8734) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8734), _u8735)) | ( c_Big__Operators_Olattice_OSup__fin(_u8734, c_Orderings_Oord__class_Omax(_u8734), _u8735) = hAPP(c_Finite__Set_Ofold1(_u8734, c_Orderings_Oord__class_Omax(_u8734)), _u8735)) )).
% 19.53/19.77 cnf(matrix-4808, plain, ( ~class_Orderings_Olinorder(_u8736) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8736), _u8737)) | ( c_Big__Operators_Olinorder__class_OMax(_u8736, _u8737) = hAPP(c_Finite__Set_Ofold1(_u8736, c_Orderings_Oord__class_Omax(_u8736)), _u8737)) )).
% 19.53/19.77 cnf(matrix-4809, plain, ( ~class_Orderings_Olinorder(_u8738) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8738), _u8739)) | ( _u8739 = c_Orderings_Obot__class_Obot(tc_fun(_u8738, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u8738, c_Orderings_Oord__class_Omax(_u8738), hAPP(hAPP(c_Set_Oinsert(_u8738), _u8740), _u8739)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8738), _u8740), c_Big__Operators_Olattice_OSup__fin(_u8738, c_Orderings_Oord__class_Omax(_u8738), _u8739))) )).
% 19.53/19.77 cnf(matrix-4810, plain, ( ~class_Orderings_Olinorder(_u8741) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8741), _u8742)) | ( _u8743 = c_Orderings_Obot__class_Obot(tc_fun(_u8741, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8741, tc_HOL_Obool)), _u8743), _u8742)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8741), c_Big__Operators_Olattice_OSup__fin(_u8741, c_Orderings_Oord__class_Omax(_u8741), _u8743)), c_Big__Operators_Olattice_OSup__fin(_u8741, c_Orderings_Oord__class_Omax(_u8741), _u8742)) = c_Big__Operators_Olattice_OSup__fin(_u8741, c_Orderings_Oord__class_Omax(_u8741), _u8742)) )).
% 19.53/19.77 cnf(matrix-4811, plain, ( ~class_Orderings_Olinorder(_u8744) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8744), _u8745)) | ~hBOOL(hAPP(hAPP(c_member(_u8744), _u8746), _u8745)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8744), _u8746), c_Big__Operators_Olattice_OSup__fin(_u8744, c_Orderings_Oord__class_Omax(_u8744), _u8745)) = _u8746) )).
% 19.53/19.77 cnf(matrix-4812, plain, ( ~class_Orderings_Olinorder(_u8747) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8747), _u8748)) | ( _u8748 = c_Orderings_Obot__class_Obot(tc_fun(_u8747, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8747), _u8749)) | ( _u8749 = c_Orderings_Obot__class_Obot(tc_fun(_u8747, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u8747, c_Orderings_Oord__class_Omax(_u8747), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8747, tc_HOL_Obool)), _u8748), _u8749)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8747), c_Big__Operators_Olattice_OSup__fin(_u8747, c_Orderings_Oord__class_Omax(_u8747), _u8748)), c_Big__Operators_Olattice_OSup__fin(_u8747, c_Orderings_Oord__class_Omax(_u8747), _u8749))) )).
% 19.53/19.77 cnf(matrix-4813, plain, ( ~class_Orderings_Olinorder(_u8750) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8750, tc_HOL_Obool)), _u8751), _u8752)) | ( _u8751 = c_Orderings_Obot__class_Obot(tc_fun(_u8750, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8750), _u8752)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8750), c_Big__Operators_Olinorder__class_OMax(_u8750, _u8751)), c_Big__Operators_Olinorder__class_OMax(_u8750, _u8752))) )).
% 19.53/19.77 cnf(matrix-4814, plain, ( ~class_Orderings_Olinorder(_u8753) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8753), _u8754)) | ( c_Big__Operators_Olattice_OSup__fin(_u8753, c_Orderings_Oord__class_Omax(_u8753), hAPP(hAPP(c_Set_Oinsert(_u8753), _u8755), _u8754)) = hAPP(hAPP(c_Finite__Set_Ofold(_u8753, _u8753, c_Orderings_Oord__class_Omax(_u8753)), _u8755), _u8754)) )).
% 19.53/19.77 cnf(matrix-4815, plain, ( ~class_Orderings_Olinorder(_u8756) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8756), _u8757)) | ( _u8757 = c_Orderings_Obot__class_Obot(tc_fun(_u8756, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8756, hAPP(hAPP(c_Set_Oinsert(_u8756), _u8758), _u8757)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8756), _u8758), c_Big__Operators_Olinorder__class_OMax(_u8756, _u8757))) )).
% 19.53/19.77 cnf(matrix-4816, plain, ( ~class_Orderings_Olinorder(_u8759) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8759), _u8760)) | ( _u8761 = c_Orderings_Obot__class_Obot(tc_fun(_u8759, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8759, tc_HOL_Obool)), _u8761), _u8760)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8759), c_Big__Operators_Olinorder__class_OMax(_u8759, _u8761)), c_Big__Operators_Olinorder__class_OMax(_u8759, _u8760)) = c_Big__Operators_Olinorder__class_OMax(_u8759, _u8760)) )).
% 19.53/19.77 cnf(matrix-4817, plain, ( ~class_Orderings_Olinorder(_u8762) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8762), _u8763)) | ( _u8763 = c_Orderings_Obot__class_Obot(tc_fun(_u8762, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8762), _u8764)) | ( _u8764 = c_Orderings_Obot__class_Obot(tc_fun(_u8762, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8762, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8762, tc_HOL_Obool)), _u8763), _u8764)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8762), c_Big__Operators_Olinorder__class_OMax(_u8762, _u8763)), c_Big__Operators_Olinorder__class_OMax(_u8762, _u8764))) )).
% 19.53/19.77 cnf(matrix-4818, plain, ( ~class_Orderings_Olinorder(_u8765) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8765), _u8766)) | ( c_Big__Operators_Olinorder__class_OMax(_u8765, hAPP(hAPP(c_Set_Oinsert(_u8765), _u8767), _u8766)) = hAPP(hAPP(c_Finite__Set_Ofold(_u8765, _u8765, c_Orderings_Oord__class_Omax(_u8765)), _u8767), _u8766)) )).
% 19.53/19.77 cnf(matrix-4819, plain, ( ~class_Orderings_Olinorder(_u8768) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8768), _u8769)) | hBOOL(hAPP(hAPP(c_member(_u8768), _u8770), _u8769)) | ( _u8769 = c_Orderings_Obot__class_Obot(tc_fun(_u8768, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u8768, c_Orderings_Oord__class_Omax(_u8768), hAPP(hAPP(c_Set_Oinsert(_u8768), _u8770), _u8769)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8768), _u8770), c_Big__Operators_Olattice_OSup__fin(_u8768, c_Orderings_Oord__class_Omax(_u8768), _u8769))) )).
% 19.53/19.77 cnf(matrix-4820, plain, ( ~class_Orderings_Olinorder(_u8771) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8771), _u8772)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8771, tc_HOL_Obool)), _u8772), hAPP(hAPP(c_Set_Oinsert(_u8771), _u8773), c_Orderings_Obot__class_Obot(tc_fun(_u8771, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8771, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u8771, c_Orderings_Oord__class_Omax(_u8771), hAPP(hAPP(c_Set_Oinsert(_u8771), _u8773), _u8772)) = _u8773) )).
% 19.53/19.77 cnf(matrix-4821, plain, ( ~class_Orderings_Olinorder(_u8771) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8771), _u8772)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8771, tc_HOL_Obool)), _u8772), hAPP(hAPP(c_Set_Oinsert(_u8771), _u8773), c_Orderings_Obot__class_Obot(tc_fun(_u8771, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8771, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u8771, c_Orderings_Oord__class_Omax(_u8771), hAPP(hAPP(c_Set_Oinsert(_u8771), _u8773), _u8772)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8771), _u8773), c_Big__Operators_Olattice_OSup__fin(_u8771, c_Orderings_Oord__class_Omax(_u8771), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8771, tc_HOL_Obool)), _u8772), hAPP(hAPP(c_Set_Oinsert(_u8771), _u8773), c_Orderings_Obot__class_Obot(tc_fun(_u8771, tc_HOL_Obool))))))) )).
% 19.53/19.77 cnf(matrix-4822, plain, ( ~class_Orderings_Olinorder(_u8774) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8774), _u8775)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8774), _u8776)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8774, tc_HOL_Obool)), _u8775), _u8776) = c_Orderings_Obot__class_Obot(tc_fun(_u8774, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8774), c_Big__Operators_Olattice_OSup__fin(_u8774, c_Orderings_Oord__class_Omax(_u8774), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8774, tc_HOL_Obool)), _u8775), _u8776))), c_Big__Operators_Olattice_OSup__fin(_u8774, c_Orderings_Oord__class_Omax(_u8774), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8774, tc_HOL_Obool)), _u8775), _u8776))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8774), c_Big__Operators_Olattice_OSup__fin(_u8774, c_Orderings_Oord__class_Omax(_u8774), _u8775)), c_Big__Operators_Olattice_OSup__fin(_u8774, c_Orderings_Oord__class_Omax(_u8774), _u8776))) )).
% 19.53/19.77 cnf(matrix-4823, plain, ( ~class_Orderings_Olinorder(_u8777) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8777), _u8778)) | ( _u8778 = c_Orderings_Obot__class_Obot(tc_fun(_u8777, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8777), _u8779)) | ( _u8779 = c_Orderings_Obot__class_Obot(tc_fun(_u8777, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8777, tc_HOL_Obool)), _u8778), _u8779) != c_Orderings_Obot__class_Obot(tc_fun(_u8777, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u8777, c_Orderings_Oord__class_Omax(_u8777), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8777, tc_HOL_Obool)), _u8778), _u8779)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8777), c_Big__Operators_Olattice_OSup__fin(_u8777, c_Orderings_Oord__class_Omax(_u8777), _u8778)), c_Big__Operators_Olattice_OSup__fin(_u8777, c_Orderings_Oord__class_Omax(_u8777), _u8779))) )).
% 19.53/19.77 cnf(matrix-4824, plain, ( ~class_Orderings_Olinorder(_u8780) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8780), _u8781)) | hBOOL(hAPP(hAPP(c_member(_u8780), _u8782), _u8781)) | ( c_Big__Operators_Olattice_OSup__fin(_u8780, c_Orderings_Oord__class_Omax(_u8780), hAPP(hAPP(c_Set_Oinsert(_u8780), _u8782), _u8781)) = hAPP(hAPP(c_Finite__Set_Ofold(_u8780, _u8780, c_Orderings_Oord__class_Omax(_u8780)), _u8782), _u8781)) )).
% 19.53/19.77 cnf(matrix-4825, plain, ( ~class_Orderings_Olinorder(_u8783) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8783), _u8784)) | hBOOL(hAPP(hAPP(c_member(_u8783), _u8785), _u8784)) | ( _u8784 = c_Orderings_Obot__class_Obot(tc_fun(_u8783, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8783, hAPP(hAPP(c_Set_Oinsert(_u8783), _u8785), _u8784)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8783), _u8785), c_Big__Operators_Olinorder__class_OMax(_u8783, _u8784))) )).
% 19.53/19.77 cnf(matrix-4826, plain, ( ~class_Orderings_Olinorder(_u8786) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8786), _u8787)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8786, tc_HOL_Obool)), _u8787), hAPP(hAPP(c_Set_Oinsert(_u8786), _u8788), c_Orderings_Obot__class_Obot(tc_fun(_u8786, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u8786, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8786, hAPP(hAPP(c_Set_Oinsert(_u8786), _u8788), _u8787)) = _u8788) )).
% 19.53/19.77 cnf(matrix-4827, plain, ( ~class_Orderings_Olinorder(_u8786) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8786), _u8787)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8786, tc_HOL_Obool)), _u8787), hAPP(hAPP(c_Set_Oinsert(_u8786), _u8788), c_Orderings_Obot__class_Obot(tc_fun(_u8786, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u8786, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8786, hAPP(hAPP(c_Set_Oinsert(_u8786), _u8788), _u8787)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8786), _u8788), c_Big__Operators_Olinorder__class_OMax(_u8786, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8786, tc_HOL_Obool)), _u8787), hAPP(hAPP(c_Set_Oinsert(_u8786), _u8788), c_Orderings_Obot__class_Obot(tc_fun(_u8786, tc_HOL_Obool))))))) )).
% 19.53/19.77 cnf(matrix-4828, plain, ( ~class_Orderings_Olinorder(_u8789) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8789), _u8790)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8789), _u8791)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8789, tc_HOL_Obool)), _u8790), _u8791) = c_Orderings_Obot__class_Obot(tc_fun(_u8789, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8789), c_Big__Operators_Olinorder__class_OMax(_u8789, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8789, tc_HOL_Obool)), _u8790), _u8791))), c_Big__Operators_Olinorder__class_OMax(_u8789, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8789, tc_HOL_Obool)), _u8790), _u8791))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8789), c_Big__Operators_Olinorder__class_OMax(_u8789, _u8790)), c_Big__Operators_Olinorder__class_OMax(_u8789, _u8791))) )).
% 19.53/19.77 cnf(matrix-4829, plain, ( ~class_Orderings_Olinorder(_u8792) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8792), _u8793)) | ( _u8793 = c_Orderings_Obot__class_Obot(tc_fun(_u8792, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8792), _u8794)) | ( _u8794 = c_Orderings_Obot__class_Obot(tc_fun(_u8792, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8792, tc_HOL_Obool)), _u8793), _u8794) != c_Orderings_Obot__class_Obot(tc_fun(_u8792, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u8792, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8792, tc_HOL_Obool)), _u8793), _u8794)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8792), c_Big__Operators_Olinorder__class_OMax(_u8792, _u8793)), c_Big__Operators_Olinorder__class_OMax(_u8792, _u8794))) )).
% 19.53/19.77 cnf(matrix-4830, plain, ( ~class_Orderings_Olinorder(_u8795) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8795), _u8796)) | hBOOL(hAPP(hAPP(c_member(_u8795), _u8797), _u8796)) | ( c_Big__Operators_Olinorder__class_OMax(_u8795, hAPP(hAPP(c_Set_Oinsert(_u8795), _u8797), _u8796)) = hAPP(hAPP(c_Finite__Set_Ofold(_u8795, _u8795, c_Orderings_Oord__class_Omax(_u8795)), _u8797), _u8796)) )).
% 19.53/19.77 cnf(matrix-4831, plain, ( ~class_Orderings_Olinorder(_u8800) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8800), _u8801)) | ( _u8801 = c_Orderings_Obot__class_Obot(tc_fun(_u8800, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u8800), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8800), skolem171(_u8801, _u8800)), skolem172(_u8801, _u8800))), hAPP(hAPP(c_Set_Oinsert(_u8800), skolem171(_u8801, _u8800)), hAPP(hAPP(c_Set_Oinsert(_u8800), skolem172(_u8801, _u8800)), c_Orderings_Obot__class_Obot(tc_fun(_u8800, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u8800), c_Big__Operators_Olattice_OSup__fin(_u8800, c_Orderings_Oord__class_Omax(_u8800), _u8801)), _u8801)) )).
% 19.53/19.77 cnf(matrix-4832, plain, ( ~class_Orderings_Olinorder(_u8804) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8804), _u8805)) | ( _u8805 = c_Orderings_Obot__class_Obot(tc_fun(_u8804, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u8804), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8804), skolem173(_u8805, _u8804)), skolem174(_u8805, _u8804))), hAPP(hAPP(c_Set_Oinsert(_u8804), skolem173(_u8805, _u8804)), hAPP(hAPP(c_Set_Oinsert(_u8804), skolem174(_u8805, _u8804)), c_Orderings_Obot__class_Obot(tc_fun(_u8804, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u8804), c_Big__Operators_Olinorder__class_OMax(_u8804, _u8805)), _u8805)) )).
% 19.53/19.77 cnf(matrix-4833, plain, ( ( hAPP(c_Product__Type_Oapfst(_u8806, _u8807, _u8808, _u8809), hAPP(c_Product__Type_Oapsnd(_u8810, _u8808, _u8806, _u8811), _u8812)) = hAPP(hAPP(c_Product__Type_OPair(_u8807, _u8808), hAPP(_u8809, hAPP(c_Product__Type_Ofst(_u8806, _u8810), _u8812))), hAPP(_u8811, hAPP(c_Product__Type_Osnd(_u8806, _u8810), _u8812)))) )).
% 19.53/19.77 cnf(matrix-4834, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u8813, _u8814, _u8815, _u8816), hAPP(c_Product__Type_Oapfst(_u8817, _u8815, _u8813, _u8818), _u8819)) = hAPP(hAPP(c_Product__Type_OPair(_u8815, _u8814), hAPP(_u8818, hAPP(c_Product__Type_Ofst(_u8817, _u8813), _u8819))), hAPP(_u8816, hAPP(c_Product__Type_Osnd(_u8817, _u8813), _u8819)))) )).
% 19.53/19.77 cnf(matrix-4835, plain, ( ( hAPP(c_Product__Type_Oapfst(_u8820, _u8821, _u8822, _u8823), hAPP(hAPP(c_Product__Type_OPair(_u8820, _u8822), _u8824), _u8825)) = hAPP(hAPP(c_Product__Type_OPair(_u8821, _u8822), hAPP(_u8823, _u8824)), _u8825)) )).
% 19.53/19.77 cnf(matrix-4836, plain, ( ( hAPP(c_Product__Type_Oapfst(_u8832, _u8834, _u8836, _u8838), _u8840) != hAPP(c_Product__Type_Oapfst(_u8832, _u8834, _u8836, _u8842), _u8840)) | ( hAPP(_u8838, hAPP(c_Product__Type_Ofst(_u8832, _u8836), _u8840)) = hAPP(_u8842, hAPP(c_Product__Type_Ofst(_u8832, _u8836), _u8840))) )).
% 19.53/19.77 cnf(matrix-4837, plain, ( ( hAPP(_u8839, hAPP(c_Product__Type_Ofst(_u8833, _u8837), _u8841)) != hAPP(_u8843, hAPP(c_Product__Type_Ofst(_u8833, _u8837), _u8841))) | ( hAPP(c_Product__Type_Oapfst(_u8833, _u8835, _u8837, _u8839), _u8841) = hAPP(c_Product__Type_Oapfst(_u8833, _u8835, _u8837, _u8843), _u8841)) )).
% 19.53/19.77 cnf(matrix-4838, plain, ( ( hAPP(c_Product__Type_Ofst(_u8844, _u8845), hAPP(c_Product__Type_Oapfst(_u8846, _u8844, _u8845, _u8847), _u8848)) = hAPP(_u8847, hAPP(c_Product__Type_Ofst(_u8846, _u8845), _u8848))) )).
% 19.53/19.77 cnf(matrix-4839, plain, ( ( hAPP(c_Product__Type_Osnd(_u8849, _u8850), hAPP(c_Product__Type_Oapfst(_u8851, _u8849, _u8850, _u8852), _u8853)) = hAPP(c_Product__Type_Osnd(_u8851, _u8850), _u8853)) )).
% 19.53/19.77 cnf(matrix-4840, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u8854, _u8855, _u8856, _u8857), hAPP(c_Product__Type_Oapfst(_u8858, _u8856, _u8854, _u8859), _u8860)) = hAPP(c_Product__Type_Oapfst(_u8858, _u8856, _u8855, _u8859), hAPP(c_Product__Type_Oapsnd(_u8854, _u8855, _u8858, _u8857), _u8860))) )).
% 19.53/19.77 cnf(matrix-4841, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8861), _u8862)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8863), _u8864)) | 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)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8861), _u8863)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u8862), _u8864))), c_FunDef_Opair__less)) )).
% 19.53/19.77 cnf(matrix-4842, plain, ( ~class_Groups_Oab__group__add(_u8865) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8866), _u8867)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8865), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u8865, _u8865), hAPP(hAPP(c_COMBB(_u8865, tc_fun(_u8865, _u8865), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u8865)), _u8868)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u8865, tc_Nat_Onat), _u8868), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Groups_Oone__class_Oone(tc_Nat_Onat))))), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8866, _u8867)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8865), hAPP(_u8868, _u8866)), hAPP(_u8868, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8867), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 19.53/19.77 cnf(matrix-4843, plain, ( ~class_Groups_Oab__group__add(_u8865) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8866), _u8867)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8865), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u8865, _u8865), hAPP(hAPP(c_COMBB(_u8865, tc_fun(_u8865, _u8865), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u8865)), _u8868)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u8865, tc_Nat_Onat), _u8868), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Groups_Oone__class_Oone(tc_Nat_Onat))))), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8866, _u8867)) = c_Groups_Ozero__class_Ozero(_u8865)) )).
% 19.53/19.77 cnf(matrix-4844, plain, ( ~class_Rings_Ocomm__semiring__1(_u8869) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8869), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8869), c_Groups_Oone__class_Oone(_u8869)), c_Groups_Oone__class_Oone(_u8869))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8869), c_Nat_Osemiring__1__class_Oof__nat(_u8869)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u8870))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8869), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8869), _u8870)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8869), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8869), _u8870)), c_Groups_Oone__class_Oone(_u8869)))) )).
% 19.53/19.77 cnf(matrix-4845, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8871) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8872), _u8873)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8872, _u8871), _u8873), _u8874) = hAPP(hAPP(c_Finite__Set_Ofold(_u8872, _u8871, hAPP(hAPP(c_COMBB(_u8871, tc_fun(_u8871, _u8871), _u8872), c_Lattices_Osemilattice__inf__class_Oinf(_u8871)), _u8874)), c_Orderings_Otop__class_Otop(_u8871)), _u8873)) )).
% 19.53/19.77 cnf(matrix-4846, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8875), _u8876), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8877, tc_fun(_u8875, tc_HOL_Obool)), _u8878), _u8879))) | ~hBOOL(hAPP(hAPP(c_member(_u8877), _u8880), _u8878)) | hBOOL(hAPP(hAPP(c_member(_u8875), _u8876), hAPP(_u8879, _u8880))) )).
% 19.53/19.77 cnf(matrix-4847, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8881), _u8882), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8883, tc_fun(_u8881, tc_HOL_Obool)), _u8884), _u8885))) | hBOOL(hAPP(hAPP(c_member(_u8881), _u8882), hAPP(_u8885, _u8886))) | ~hBOOL(hAPP(hAPP(c_member(_u8883), _u8886), _u8884)) )).
% 19.53/19.77 cnf(matrix-4848, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8887, tc_fun(_u8888, tc_HOL_Obool)), _u8889), _u8890), _u8891)) | ~hBOOL(hAPP(hAPP(c_member(_u8887), _u8892), _u8889)) | hBOOL(hAPP(hAPP(_u8890, _u8892), _u8891)) )).
% 19.53/19.77 cnf(matrix-4849, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8893, tc_fun(_u8894, tc_HOL_Obool)), _u8895), _u8896), _u8897)) | hBOOL(hAPP(hAPP(_u8896, _u8898), _u8897)) | ~hBOOL(hAPP(hAPP(c_member(_u8893), _u8898), _u8895)) )).
% 19.53/19.77 cnf(matrix-4850, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8899, tc_fun(_u8900, tc_fun(_u8901, tc_HOL_Obool))), _u8902), _u8903), _u8904), _u8905)) | ~hBOOL(hAPP(hAPP(c_member(_u8899), _u8906), _u8902)) | hBOOL(hAPP(hAPP(hAPP(_u8903, _u8906), _u8904), _u8905)) )).
% 19.53/19.77 cnf(matrix-4851, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8907, tc_fun(_u8908, tc_fun(_u8909, tc_HOL_Obool))), _u8910), _u8911), _u8912), _u8913)) | hBOOL(hAPP(hAPP(hAPP(_u8911, _u8914), _u8912), _u8913)) | ~hBOOL(hAPP(hAPP(c_member(_u8907), _u8914), _u8910)) )).
% 19.53/19.77 cnf(matrix-4852, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8916), _u8915), _u8917)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8918), hAPP(_u8919, _u8915))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8918), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8916, tc_fun(_u8918, tc_HOL_Obool)), _u8917), _u8919))) )).
% 19.53/19.77 cnf(matrix-4853, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u8920, _u8921))) )).
% 19.53/19.77 cnf(matrix-4854, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u8922, tc_HOL_Obool), _u8923) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u8922, tc_HOL_Obool), tc_fun(_u8922, tc_HOL_Obool)), _u8923), c_COMBI(tc_fun(_u8922, tc_HOL_Obool)))) )).
% 19.53/19.77 cnf(matrix-4855, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8930, tc_fun(_u8932, tc_HOL_Obool)), _u8934), _u8936) != c_Orderings_Otop__class_Otop(tc_fun(_u8932, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u8930), _u8924), _u8934)) | ( hAPP(_u8936, _u8924) = c_Orderings_Otop__class_Otop(tc_fun(_u8932, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-4856, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8931, tc_fun(_u8933, tc_HOL_Obool)), _u8935), _u8937) = c_Orderings_Otop__class_Otop(tc_fun(_u8933, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u8931), skolem175(_u8937, _u8935, _u8933, _u8931)), _u8935)) )).
% 19.53/19.77 cnf(matrix-4857, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8931, tc_fun(_u8933, tc_HOL_Obool)), _u8935), _u8937) = c_Orderings_Otop__class_Otop(tc_fun(_u8933, tc_HOL_Obool))) | ( hAPP(_u8937, skolem175(_u8937, _u8935, _u8933, _u8931)) != c_Orderings_Otop__class_Otop(tc_fun(_u8933, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-4858, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u8944, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8946, tc_fun(_u8944, tc_HOL_Obool)), _u8948), _u8950)) | ~hBOOL(hAPP(hAPP(c_member(_u8946), _u8938), _u8948)) | ( hAPP(_u8950, _u8938) = c_Orderings_Otop__class_Otop(tc_fun(_u8944, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-4859, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u8945, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8947, tc_fun(_u8945, tc_HOL_Obool)), _u8949), _u8951)) | hBOOL(hAPP(hAPP(c_member(_u8947), skolem176(_u8951, _u8949, _u8947, _u8945)), _u8949)) )).
% 19.53/19.77 cnf(matrix-4860, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u8945, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8947, tc_fun(_u8945, tc_HOL_Obool)), _u8949), _u8951)) | ( hAPP(_u8951, skolem176(_u8951, _u8949, _u8947, _u8945)) != c_Orderings_Otop__class_Otop(tc_fun(_u8945, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-4861, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8959, tc_HOL_Obool)), _u8961), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8963, tc_fun(_u8959, tc_HOL_Obool)), _u8965), _u8967))) | ~hBOOL(hAPP(hAPP(c_member(_u8963), _u8952), _u8965)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8959, tc_HOL_Obool)), _u8961), hAPP(_u8967, _u8952))) )).
% 19.53/19.77 cnf(matrix-4862, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8960, tc_HOL_Obool)), _u8962), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8964, tc_fun(_u8960, tc_HOL_Obool)), _u8966), _u8968))) | hBOOL(hAPP(hAPP(c_member(_u8964), skolem177(_u8968, _u8966, _u8964, _u8962, _u8960)), _u8966)) )).
% 19.53/19.77 cnf(matrix-4863, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8960, tc_HOL_Obool)), _u8962), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8964, tc_fun(_u8960, tc_HOL_Obool)), _u8966), _u8968))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8960, tc_HOL_Obool)), _u8962), hAPP(_u8968, skolem177(_u8968, _u8966, _u8964, _u8962, _u8960)))) )).
% 19.53/19.77 cnf(matrix-4864, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8969, tc_fun(_u8970, tc_HOL_Obool)), _u8971), hAPP(hAPP(c_COMBS(_u8969, tc_fun(_u8970, tc_HOL_Obool), tc_fun(_u8970, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u8970, tc_HOL_Obool), tc_fun(tc_fun(_u8970, tc_HOL_Obool), tc_fun(_u8970, tc_HOL_Obool)), _u8969), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8970, tc_HOL_Obool))), _u8972)), _u8973)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8970, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8969, tc_fun(_u8970, tc_HOL_Obool)), _u8971), _u8972)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8969, tc_fun(_u8970, tc_HOL_Obool)), _u8971), _u8973))) )).
% 19.53/19.77 cnf(matrix-4865, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8974) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8975, _u8974), _u8976), hAPP(hAPP(c_COMBB(tc_fun(_u8977, _u8974), _u8974, _u8975), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8977, _u8974), _u8978)), _u8979)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8977, _u8974), _u8978), hAPP(hAPP(c_COMBB(tc_fun(_u8975, _u8974), _u8974, _u8977), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8975, _u8974), _u8976)), hAPP(c_COMBC(_u8975, _u8977, _u8974), _u8979)))) )).
% 19.53/19.77 cnf(matrix-4866, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u8980) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8981, tc_fun(_u8982, _u8980)), _u8983), _u8984), _u8985) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8981, _u8980), _u8983), hAPP(hAPP(c_COMBC(_u8981, _u8982, _u8980), _u8984), _u8985))) )).
% 19.53/19.77 cnf(matrix-4867, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8986, tc_fun(_u8987, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u8986, tc_HOL_Obool), _u8988)), _u8989) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u8986, tc_HOL_Obool), tc_fun(_u8987, tc_HOL_Obool)), _u8988), hAPP(hAPP(c_COMBC(tc_fun(_u8986, tc_HOL_Obool), tc_fun(_u8986, tc_fun(_u8987, tc_HOL_Obool)), tc_fun(_u8987, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8986, tc_fun(_u8987, tc_HOL_Obool))), _u8989))) )).
% 19.53/19.77 cnf(matrix-4868, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u8990, tc_HOL_Obool), tc_fun(_u8991, tc_HOL_Obool)), _u8992), hAPP(hAPP(c_COMBC(tc_fun(_u8990, tc_HOL_Obool), tc_fun(_u8990, tc_fun(_u8991, tc_HOL_Obool)), tc_fun(_u8991, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8990, tc_fun(_u8991, tc_HOL_Obool))), _u8993)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8990, tc_fun(_u8991, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u8990, tc_HOL_Obool), _u8992)), _u8993)) )).
% 19.53/19.77 cnf(matrix-4869, plain, ( ( hAPP(c_Set_OPow(_u8994), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8995, tc_fun(_u8994, tc_HOL_Obool)), _u8996), _u8997)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u8995, tc_fun(tc_fun(_u8994, tc_HOL_Obool), tc_HOL_Obool)), _u8996), hAPP(hAPP(c_COMBB(tc_fun(_u8994, tc_HOL_Obool), tc_fun(tc_fun(_u8994, tc_HOL_Obool), tc_HOL_Obool), _u8995), c_Set_OPow(_u8994)), _u8997))) )).
% 19.53/19.77 cnf(matrix-4870, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u8998), _u8999), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9000, tc_fun(_u8998, tc_HOL_Obool)), _u9001), _u9002)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9000, tc_fun(_u8998, tc_HOL_Obool)), _u9001), hAPP(hAPP(c_COMBB(tc_fun(_u8998, tc_HOL_Obool), tc_fun(_u8998, tc_HOL_Obool), _u9000), hAPP(c_Set_Oinsert(_u8998), _u8999)), _u9002))) )).
% 19.53/19.77 cnf(matrix-4871, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9003, tc_fun(_u9004, tc_HOL_Obool)), _u9005), hAPP(hAPP(c_COMBB(tc_fun(_u9004, tc_HOL_Obool), tc_fun(_u9004, tc_HOL_Obool), _u9003), hAPP(c_Set_Oinsert(_u9004), _u9006)), _u9007)) = hAPP(hAPP(c_Set_Oinsert(_u9004), _u9006), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9003, tc_fun(_u9004, tc_HOL_Obool)), _u9005), _u9007))) )).
% 19.53/19.77 cnf(matrix-4872, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9015), _u9017), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9019, tc_fun(_u9015, tc_HOL_Obool)), _u9021), _u9023))) | ~hBOOL(hAPP(hAPP(c_member(_u9019), _u9008), _u9021)) | hBOOL(hAPP(hAPP(c_member(_u9015), _u9017), hAPP(_u9023, _u9008))) )).
% 19.53/19.77 cnf(matrix-4873, plain, ( hBOOL(hAPP(hAPP(c_member(_u9016), _u9018), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9020, tc_fun(_u9016, tc_HOL_Obool)), _u9022), _u9024))) | hBOOL(hAPP(hAPP(c_member(_u9020), skolem178(_u9024, _u9022, _u9020, _u9018, _u9016)), _u9022)) )).
% 19.53/19.77 cnf(matrix-4874, plain, ( hBOOL(hAPP(hAPP(c_member(_u9016), _u9018), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9020, tc_fun(_u9016, tc_HOL_Obool)), _u9022), _u9024))) | ~hBOOL(hAPP(hAPP(c_member(_u9016), _u9018), hAPP(_u9024, skolem178(_u9024, _u9022, _u9020, _u9018, _u9016)))) )).
% 19.53/19.77 cnf(matrix-4875, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9025, tc_fun(_u9026, tc_HOL_Obool)), _u9027), hAPP(hAPP(c_COMBB(tc_fun(_u9026, tc_HOL_Obool), tc_fun(_u9026, tc_HOL_Obool), _u9025), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9026, tc_HOL_Obool)), _u9028)), _u9029)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9026, tc_HOL_Obool)), _u9028), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9025, tc_fun(_u9026, tc_HOL_Obool)), _u9027), _u9029))) )).
% 19.53/19.77 cnf(matrix-4876, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9030, tc_fun(_u9031, tc_HOL_Obool)), _u9032), hAPP(hAPP(c_COMBC(_u9030, tc_fun(_u9031, tc_HOL_Obool), tc_fun(_u9031, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9031, tc_HOL_Obool), tc_fun(tc_fun(_u9031, tc_HOL_Obool), tc_fun(_u9031, tc_HOL_Obool)), _u9030), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9031, tc_HOL_Obool))), _u9033)), _u9034)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9031, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9030, tc_fun(_u9031, tc_HOL_Obool)), _u9032), _u9033)), _u9034)) )).
% 19.53/19.77 cnf(matrix-4877, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9035, tc_HOL_Obool)), _u9036), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9037, tc_fun(_u9035, tc_HOL_Obool)), _u9038), _u9039)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9037, tc_fun(_u9035, tc_HOL_Obool)), _u9038), hAPP(hAPP(c_COMBB(tc_fun(_u9035, tc_HOL_Obool), tc_fun(_u9035, tc_HOL_Obool), _u9037), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9035, tc_HOL_Obool)), _u9036)), _u9039))) )).
% 19.53/19.77 cnf(matrix-4878, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9040, tc_HOL_Obool)), _u9041), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9042, tc_fun(_u9040, tc_HOL_Obool)), _u9043), _u9044)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9042, tc_fun(_u9040, tc_HOL_Obool)), _u9043), hAPP(hAPP(c_COMBB(tc_fun(_u9040, tc_HOL_Obool), tc_fun(_u9040, tc_HOL_Obool), _u9042), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9040, tc_HOL_Obool)), _u9041)), _u9044))) )).
% 19.53/19.77 cnf(matrix-4879, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9045, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9046, tc_fun(_u9045, tc_HOL_Obool)), _u9047), _u9048)), _u9049) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9046, tc_fun(_u9045, tc_HOL_Obool)), _u9047), hAPP(hAPP(c_COMBC(_u9046, tc_fun(_u9045, tc_HOL_Obool), tc_fun(_u9045, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9045, tc_HOL_Obool), tc_fun(tc_fun(_u9045, tc_HOL_Obool), tc_fun(_u9045, tc_HOL_Obool)), _u9046), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9045, tc_HOL_Obool))), _u9048)), _u9049))) )).
% 19.53/19.77 cnf(matrix-4880, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9050, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9051, tc_fun(_u9050, tc_HOL_Obool)), _u9052), _u9053)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9054, tc_fun(_u9050, tc_HOL_Obool)), _u9055), _u9056)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9051, tc_fun(_u9050, tc_HOL_Obool)), _u9052), hAPP(hAPP(c_COMBB(tc_fun(_u9054, tc_fun(_u9050, tc_HOL_Obool)), tc_fun(_u9050, tc_HOL_Obool), _u9051), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9054, tc_fun(_u9050, tc_HOL_Obool)), _u9055)), hAPP(hAPP(c_COMBC(_u9051, tc_fun(_u9054, tc_fun(_u9050, tc_HOL_Obool)), tc_fun(_u9054, tc_fun(_u9050, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9050, tc_HOL_Obool), tc_fun(_u9050, tc_HOL_Obool)), tc_fun(tc_fun(_u9054, tc_fun(_u9050, tc_HOL_Obool)), tc_fun(_u9054, tc_fun(_u9050, tc_HOL_Obool))), _u9051), c_COMBB(tc_fun(_u9050, tc_HOL_Obool), tc_fun(_u9050, tc_HOL_Obool), _u9054)), hAPP(hAPP(c_COMBB(tc_fun(_u9050, tc_HOL_Obool), tc_fun(tc_fun(_u9050, tc_HOL_Obool), tc_fun(_u9050, tc_HOL_Obool)), _u9051), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9050, tc_HOL_Obool))), _u9053))), _u9056)))) )).
% 19.53/19.77 cnf(matrix-4881, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9063, tc_fun(_u9065, tc_fun(_u9067, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u9063, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u9065, _u9067), tc_HOL_Obool), tc_fun(_u9065, tc_fun(_u9067, tc_HOL_Obool)), _u9063), hAPP(c_COMBC(_u9065, tc_fun(tc_prod(_u9065, _u9067), tc_HOL_Obool), tc_fun(_u9067, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9067, tc_fun(tc_fun(tc_prod(_u9065, _u9067), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9065, _u9067), tc_HOL_Obool), tc_fun(_u9067, tc_HOL_Obool)), _u9065), c_COMBC(_u9067, tc_fun(tc_prod(_u9065, _u9067), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9067, tc_prod(_u9065, _u9067)), tc_fun(_u9067, tc_fun(tc_fun(tc_prod(_u9065, _u9067), tc_HOL_Obool), tc_HOL_Obool)), _u9065), hAPP(c_COMBB(tc_prod(_u9065, _u9067), tc_fun(tc_fun(tc_prod(_u9065, _u9067), tc_HOL_Obool), tc_HOL_Obool), _u9067), c_member(tc_prod(_u9065, _u9067)))), c_Product__Type_OPair(_u9065, _u9067))))), _u9069)), _u9071), _u9073)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u9065, _u9067)), hAPP(hAPP(c_Product__Type_OPair(_u9065, _u9067), _u9071), _u9073)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9063, tc_fun(tc_prod(_u9065, _u9067), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9063, tc_HOL_Obool))), _u9069))) )).
% 19.53/19.77 cnf(matrix-4882, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9066, _u9068)), hAPP(hAPP(c_Product__Type_OPair(_u9066, _u9068), _u9072), _u9074)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9064, tc_fun(tc_prod(_u9066, _u9068), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9064, tc_HOL_Obool))), _u9070))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9064, tc_fun(_u9066, tc_fun(_u9068, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u9064, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u9066, _u9068), tc_HOL_Obool), tc_fun(_u9066, tc_fun(_u9068, tc_HOL_Obool)), _u9064), hAPP(c_COMBC(_u9066, tc_fun(tc_prod(_u9066, _u9068), tc_HOL_Obool), tc_fun(_u9068, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9068, tc_fun(tc_fun(tc_prod(_u9066, _u9068), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9066, _u9068), tc_HOL_Obool), tc_fun(_u9068, tc_HOL_Obool)), _u9066), c_COMBC(_u9068, tc_fun(tc_prod(_u9066, _u9068), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9068, tc_prod(_u9066, _u9068)), tc_fun(_u9068, tc_fun(tc_fun(tc_prod(_u9066, _u9068), tc_HOL_Obool), tc_HOL_Obool)), _u9066), hAPP(c_COMBB(tc_prod(_u9066, _u9068), tc_fun(tc_fun(tc_prod(_u9066, _u9068), tc_HOL_Obool), tc_HOL_Obool), _u9068), c_member(tc_prod(_u9066, _u9068)))), c_Product__Type_OPair(_u9066, _u9068))))), _u9070)), _u9072), _u9074)) )).
% 19.53/19.77 cnf(matrix-4883, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9077) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9077), _u9078), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9079, _u9077), _u9080), _u9081))) | ~hBOOL(hAPP(hAPP(c_member(_u9079), _u9075), _u9080)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9077), _u9078), hAPP(_u9081, _u9075))) )).
% 19.53/19.77 cnf(matrix-4884, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9077) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9077), _u9078), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9079, _u9077), _u9080), _u9081))) | hBOOL(hAPP(hAPP(c_member(_u9079), skolem179(_u9081, _u9080, _u9079, _u9078, _u9077)), _u9080)) )).
% 19.53/19.77 cnf(matrix-4885, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9077) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9077), _u9078), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9079, _u9077), _u9080), _u9081))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9077), _u9078), hAPP(_u9081, skolem179(_u9081, _u9080, _u9079, _u9078, _u9077)))) )).
% 19.53/19.77 cnf(matrix-4886, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9084) | ~class_Orderings_Olinorder(_u9084) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9084), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9085, _u9084), _u9086), _u9087)), _u9088)) | hBOOL(hAPP(hAPP(c_member(_u9085), skolem180(_u9088, _u9087, _u9086, _u9085, _u9084)), _u9086)) )).
% 19.53/19.77 cnf(matrix-4887, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9084) | ~class_Orderings_Olinorder(_u9084) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9084), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9085, _u9084), _u9086), _u9087)), _u9088)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9084), hAPP(_u9087, skolem180(_u9088, _u9087, _u9086, _u9085, _u9084))), _u9088)) )).
% 19.53/19.77 cnf(matrix-4888, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9084) | ~class_Orderings_Olinorder(_u9084) | ~hBOOL(hAPP(hAPP(c_member(_u9085), _u9083), _u9086)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9084), hAPP(_u9087, _u9083)), _u9088)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9084), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9085, _u9084), _u9086), _u9087)), _u9088)) )).
% 19.53/19.77 cnf(matrix-4889, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9089), _u9090), _u9091)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9089, tc_fun(_u9092, tc_HOL_Obool)), _u9091), hAPP(hAPP(c_COMBB(tc_fun(_u9092, tc_HOL_Obool), tc_fun(_u9092, tc_HOL_Obool), _u9089), hAPP(c_Set_Oinsert(_u9092), _u9093)), _u9094)) = hAPP(hAPP(c_Set_Oinsert(_u9092), _u9093), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9089, tc_fun(_u9092, tc_HOL_Obool)), _u9091), _u9094))) )).
% 19.53/19.77 cnf(matrix-4890, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9095), _u9096), _u9097)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9098, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9095, tc_fun(_u9098, tc_HOL_Obool)), _u9097), _u9099)), hAPP(_u9099, _u9096))) )).
% 19.53/19.77 cnf(matrix-4891, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9104, tc_fun(_u9106, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9104, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9106, tc_HOL_Obool), tc_fun(_u9106, tc_HOL_Obool), _u9104), hAPP(c_COMBC(_u9106, tc_fun(_u9106, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9106))), _u9108)), _u9110)) | hBOOL(hAPP(hAPP(c_member(_u9106), _u9110), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9104, tc_fun(_u9106, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9104, tc_HOL_Obool))), _u9108))) )).
% 19.53/19.77 cnf(matrix-4892, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9107), _u9111), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9105, tc_fun(_u9107, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9105, tc_HOL_Obool))), _u9109))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9105, tc_fun(_u9107, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9105, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9107, tc_HOL_Obool), tc_fun(_u9107, tc_HOL_Obool), _u9105), hAPP(c_COMBC(_u9107, tc_fun(_u9107, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9107))), _u9109)), _u9111)) )).
% 19.53/19.77 cnf(matrix-4893, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9112), _u9113), _u9114)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9115, tc_HOL_Obool)), hAPP(_u9116, _u9113)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9112, tc_fun(_u9115, tc_HOL_Obool)), _u9114), _u9116)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9112, tc_fun(_u9115, tc_HOL_Obool)), _u9114), _u9116)) )).
% 19.53/19.77 cnf(matrix-4894, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9117) | ( _u9118 = c_Orderings_Obot__class_Obot(tc_fun(_u9119, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9119, _u9117), _u9118), hAPP(c_COMBK(_u9117, _u9119), _u9120)) = _u9120) )).
% 19.53/19.77 cnf(matrix-4895, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9121, tc_fun(_u9122, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u9121, tc_HOL_Obool))), _u9123) = c_Orderings_Otop__class_Otop(tc_fun(_u9122, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-4896, plain, ( ( _u9128 != c_Orderings_Obot__class_Obot(tc_fun(_u9130, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9130, tc_fun(_u9132, tc_HOL_Obool)), _u9128), hAPP(c_COMBK(tc_fun(_u9132, tc_HOL_Obool), _u9130), _u9134)) = c_Orderings_Otop__class_Otop(tc_fun(_u9132, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-4897, plain, ( ( _u9129 = c_Orderings_Obot__class_Obot(tc_fun(_u9131, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9131, tc_fun(_u9133, tc_HOL_Obool)), _u9129), hAPP(c_COMBK(tc_fun(_u9133, tc_HOL_Obool), _u9131), _u9135)) = _u9135) )).
% 19.53/19.77 cnf(matrix-4898, plain, ( ( _u9141 != c_Orderings_Obot__class_Obot(tc_fun(_u9143, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9145, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9143, tc_fun(_u9145, tc_HOL_Obool)), _u9141), _u9147)), _u9149) = _u9149) )).
% 19.53/19.77 cnf(matrix-4899, plain, ( ( _u9142 = c_Orderings_Obot__class_Obot(tc_fun(_u9144, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9146, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9144, tc_fun(_u9146, tc_HOL_Obool)), _u9142), _u9148)), _u9150) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9144, tc_fun(_u9146, tc_HOL_Obool)), _u9142), hAPP(hAPP(c_COMBC(_u9144, tc_fun(_u9146, tc_HOL_Obool), tc_fun(_u9146, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9146, tc_HOL_Obool), tc_fun(tc_fun(_u9146, tc_HOL_Obool), tc_fun(_u9146, tc_HOL_Obool)), _u9144), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9146, tc_HOL_Obool))), _u9148)), _u9150))) )).
% 19.53/19.77 cnf(matrix-4900, plain, ( ( _u9156 != c_Orderings_Obot__class_Obot(tc_fun(_u9158, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9160, tc_HOL_Obool)), _u9162), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9158, tc_fun(_u9160, tc_HOL_Obool)), _u9156), _u9164)) = _u9162) )).
% 19.53/19.77 cnf(matrix-4901, plain, ( ( _u9157 = c_Orderings_Obot__class_Obot(tc_fun(_u9159, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9161, tc_HOL_Obool)), _u9163), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9159, tc_fun(_u9161, tc_HOL_Obool)), _u9157), _u9165)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9159, tc_fun(_u9161, tc_HOL_Obool)), _u9157), hAPP(hAPP(c_COMBB(tc_fun(_u9161, tc_HOL_Obool), tc_fun(_u9161, tc_HOL_Obool), _u9159), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9161, tc_HOL_Obool)), _u9163)), _u9165))) )).
% 19.53/19.77 cnf(matrix-4902, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9166, tc_fun(_u9167, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9166), _u9168), _u9169)), _u9170) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9167, tc_HOL_Obool)), hAPP(_u9170, _u9168)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9166, tc_fun(_u9167, tc_HOL_Obool)), _u9169), _u9170))) )).
% 19.53/19.77 cnf(matrix-4903, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9171, tc_fun(_u9172, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9171, tc_HOL_Obool)), _u9173), _u9174)), _u9175) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9172, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9171, tc_fun(_u9172, tc_HOL_Obool)), _u9173), _u9175)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9171, tc_fun(_u9172, tc_HOL_Obool)), _u9174), _u9175))) )).
% 19.53/19.77 cnf(matrix-4904, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9176, tc_HOL_Obool)), _u9177), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u9176, tc_HOL_Obool), _u9178)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u9176, tc_HOL_Obool), tc_fun(_u9176, tc_HOL_Obool)), _u9178), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9176, tc_HOL_Obool)), _u9177))) )).
% 19.53/19.77 cnf(matrix-4905, plain, ( ~class_Orderings_Oorder(_u9179) | ( c_Orderings_Obot__class_Obot(tc_fun(_u9179, tc_HOL_Obool)) != c_SetInterval_Oord__class_OatLeastAtMost(_u9179, _u9180, _u9181)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9179), _u9180), _u9181)) )).
% 19.53/19.77 cnf(matrix-4906, plain, ( ~class_Orderings_Oorder(_u9179) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9179), _u9180), _u9181)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u9179, tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(_u9179, _u9180, _u9181)) )).
% 19.53/19.77 cnf(matrix-4907, plain, ( ~class_Orderings_Oorder(_u9182) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u9182, _u9183, _u9184) != c_Orderings_Obot__class_Obot(tc_fun(_u9182, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9182), _u9183), _u9184)) )).
% 19.53/19.77 cnf(matrix-4908, plain, ( ~class_Orderings_Oorder(_u9182) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9182), _u9183), _u9184)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u9182, _u9183, _u9184) = c_Orderings_Obot__class_Obot(tc_fun(_u9182, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-4909, plain, ( ~class_Orderings_Oorder(_u9185) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9185), _u9186), _u9187)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u9185, _u9187, _u9186) = c_Orderings_Obot__class_Obot(tc_fun(_u9185, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-4910, plain, ( ~class_Orderings_Oorder(_u9188) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9188, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u9188, _u9189, _u9190)), c_SetInterval_Oord__class_OatLeastAtMost(_u9188, _u9191, _u9192))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9188), _u9189), _u9190)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9188), _u9191), _u9189)) )).
% 19.53/19.77 cnf(matrix-4911, plain, ( ~class_Orderings_Oorder(_u9188) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9188, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u9188, _u9189, _u9190)), c_SetInterval_Oord__class_OatLeastAtMost(_u9188, _u9191, _u9192))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9188), _u9189), _u9190)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9188), _u9190), _u9192)) )).
% 19.53/19.77 cnf(matrix-4912, plain, ( ~class_Orderings_Oorder(_u9188) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9188, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u9188, _u9189, _u9190)), c_SetInterval_Oord__class_OatLeastAtMost(_u9188, _u9191, _u9192))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9188), _u9189), _u9190)) )).
% 19.53/19.77 cnf(matrix-4913, plain, ( ~class_Orderings_Oorder(_u9188) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9188, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u9188, _u9189, _u9190)), c_SetInterval_Oord__class_OatLeastAtMost(_u9188, _u9191, _u9192))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9188), _u9191), _u9189)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9188), _u9190), _u9192)) )).
% 19.53/19.77 cnf(matrix-4914, plain, ( ~class_Orderings_Oorder(_u9193) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u9193, _u9194, _u9194) = hAPP(hAPP(c_Set_Oinsert(_u9193), _u9194), c_Orderings_Obot__class_Obot(tc_fun(_u9193, tc_HOL_Obool)))) )).
% 19.53/19.77 cnf(matrix-4915, plain, ( ~class_Orderings_Oorder(_u9195) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u9195, _u9196, _u9197) != hAPP(hAPP(c_Set_Oinsert(_u9195), _u9198), c_Orderings_Obot__class_Obot(tc_fun(_u9195, tc_HOL_Obool)))) | ( _u9196 = _u9197) )).
% 19.53/19.77 cnf(matrix-4916, plain, ( ~class_Orderings_Oorder(_u9195) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u9195, _u9196, _u9197) != hAPP(hAPP(c_Set_Oinsert(_u9195), _u9198), c_Orderings_Obot__class_Obot(tc_fun(_u9195, tc_HOL_Obool)))) | ( _u9197 = _u9198) )).
% 19.53/19.77 cnf(matrix-4917, plain, ( ~class_Orderings_Oorder(_u9195) | ( _u9196 != _u9197) | ( _u9197 != _u9198) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u9195, _u9196, _u9197) = hAPP(hAPP(c_Set_Oinsert(_u9195), _u9198), c_Orderings_Obot__class_Obot(tc_fun(_u9195, tc_HOL_Obool)))) )).
% 19.53/19.77 cnf(matrix-4918, plain, ( ~class_Orderings_Oorder(_u9199) | ( _u9200 != _u9201) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u9199, _u9200, _u9201) = hAPP(hAPP(c_Set_Oinsert(_u9199), _u9200), c_Orderings_Obot__class_Obot(tc_fun(_u9199, tc_HOL_Obool)))) )).
% 19.53/19.77 cnf(matrix-4919, plain, ( ~class_Groups_Ocomm__monoid__add(_u9202) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9202), _u9203), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9204), hAPP(c_Nat_OSuc, _u9205))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9202), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u9202, tc_Nat_Onat), _u9203), c_Nat_OSuc)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u9204, _u9205))) )).
% 19.53/19.77 cnf(matrix-4920, plain, ( ~class_Groups_Ocomm__monoid__add(_u9206) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9206), _u9207), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9208), _u9209), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9210), _u9209))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9206), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u9206, tc_Nat_Onat), _u9207), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u9209))), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u9208, _u9210))) )).
% 19.53/19.77 cnf(matrix-4921, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9211) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9212, tc_HOL_Obool)), _u9213), _u9214)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9211), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9212, _u9211), _u9214), _u9215)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9212, _u9211), _u9213), _u9215))) )).
% 19.53/19.77 cnf(matrix-4922, plain, ( ( _u9221 != c_Orderings_Obot__class_Obot(tc_fun(_u9223, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9223, tc_fun(_u9225, tc_HOL_Obool)), _u9221), hAPP(hAPP(c_COMBC(_u9223, tc_fun(_u9225, tc_HOL_Obool), tc_fun(_u9225, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9225, tc_HOL_Obool), tc_fun(tc_fun(_u9225, tc_HOL_Obool), tc_fun(_u9225, tc_HOL_Obool)), _u9223), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9225, tc_HOL_Obool))), _u9227)), _u9229)) = c_Orderings_Otop__class_Otop(tc_fun(_u9225, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-4923, plain, ( ( _u9222 = c_Orderings_Obot__class_Obot(tc_fun(_u9224, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9224, tc_fun(_u9226, tc_HOL_Obool)), _u9222), hAPP(hAPP(c_COMBC(_u9224, tc_fun(_u9226, tc_HOL_Obool), tc_fun(_u9226, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9226, tc_HOL_Obool), tc_fun(tc_fun(_u9226, tc_HOL_Obool), tc_fun(_u9226, tc_HOL_Obool)), _u9224), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9226, tc_HOL_Obool))), _u9228)), _u9230)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9226, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9224, tc_fun(_u9226, tc_HOL_Obool)), _u9222), _u9228)), _u9230)) )).
% 19.53/19.77 cnf(matrix-4924, plain, ( ( _u9236 != c_Orderings_Obot__class_Obot(tc_fun(_u9238, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9238, tc_fun(_u9240, tc_HOL_Obool)), _u9236), hAPP(hAPP(c_COMBB(tc_fun(_u9240, tc_HOL_Obool), tc_fun(_u9240, tc_HOL_Obool), _u9238), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9240, tc_HOL_Obool)), _u9242)), _u9244)) = c_Orderings_Otop__class_Otop(tc_fun(_u9240, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-4925, plain, ( ( _u9237 = c_Orderings_Obot__class_Obot(tc_fun(_u9239, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9239, tc_fun(_u9241, tc_HOL_Obool)), _u9237), hAPP(hAPP(c_COMBB(tc_fun(_u9241, tc_HOL_Obool), tc_fun(_u9241, tc_HOL_Obool), _u9239), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9241, tc_HOL_Obool)), _u9243)), _u9245)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9241, tc_HOL_Obool)), _u9243), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9239, tc_fun(_u9241, tc_HOL_Obool)), _u9237), _u9245))) )).
% 19.53/19.77 cnf(matrix-4926, plain, ( ( _u9251 != c_Orderings_Obot__class_Obot(tc_fun(_u9253, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9255, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9253, tc_fun(_u9255, tc_HOL_Obool)), _u9251), _u9257)), _u9259) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9255, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9255, tc_HOL_Obool))), _u9259)) )).
% 19.53/19.77 cnf(matrix-4927, plain, ( ( _u9252 = c_Orderings_Obot__class_Obot(tc_fun(_u9254, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9256, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9254, tc_fun(_u9256, tc_HOL_Obool)), _u9252), _u9258)), _u9260) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9254, tc_fun(_u9256, tc_HOL_Obool)), _u9252), hAPP(hAPP(c_COMBC(_u9254, tc_fun(_u9256, tc_HOL_Obool), tc_fun(_u9256, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9256, tc_HOL_Obool), tc_fun(tc_fun(_u9256, tc_HOL_Obool), tc_fun(_u9256, tc_HOL_Obool)), _u9254), c_Groups_Ominus__class_Ominus(tc_fun(_u9256, tc_HOL_Obool))), _u9258)), _u9260))) )).
% 19.53/19.77 cnf(matrix-4928, plain, ( ( _u9266 != c_Orderings_Obot__class_Obot(tc_fun(_u9268, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9268, tc_fun(_u9270, tc_HOL_Obool)), _u9266), hAPP(hAPP(c_COMBC(_u9268, tc_fun(_u9270, tc_HOL_Obool), tc_fun(_u9270, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9270, tc_HOL_Obool), tc_fun(tc_fun(_u9270, tc_HOL_Obool), tc_fun(_u9270, tc_HOL_Obool)), _u9268), c_Groups_Ominus__class_Ominus(tc_fun(_u9270, tc_HOL_Obool))), _u9272)), _u9274)) = c_Orderings_Otop__class_Otop(tc_fun(_u9270, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-4929, plain, ( ( _u9267 = c_Orderings_Obot__class_Obot(tc_fun(_u9269, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9269, tc_fun(_u9271, tc_HOL_Obool)), _u9267), hAPP(hAPP(c_COMBC(_u9269, tc_fun(_u9271, tc_HOL_Obool), tc_fun(_u9271, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9271, tc_HOL_Obool), tc_fun(tc_fun(_u9271, tc_HOL_Obool), tc_fun(_u9271, tc_HOL_Obool)), _u9269), c_Groups_Ominus__class_Ominus(tc_fun(_u9271, tc_HOL_Obool))), _u9273)), _u9275)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9271, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9269, tc_fun(_u9271, tc_HOL_Obool)), _u9267), _u9273)), _u9275)) )).
% 19.53/19.77 cnf(matrix-4930, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u9276, _u9277)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9277)), _u9276)) )).
% 19.53/19.77 cnf(matrix-4931, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9278), hAPP(c_Nat_OSuc, _u9279))) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u9278, hAPP(c_Nat_OSuc, _u9279)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9279)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u9278, _u9279))) )).
% 19.53/19.77 cnf(matrix-4932, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9280) | ~hBOOL(hAPP(hAPP(c_member(_u9281), _u9282), _u9283)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9280), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9281, _u9280), _u9283), _u9284)), hAPP(_u9284, _u9282))) )).
% 19.53/19.77 cnf(matrix-4933, plain, ( ( hAPP(_u9285, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u9285), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9286)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u9285), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u9286))) )).
% 19.53/19.77 cnf(matrix-4934, plain, ( ~class_Orderings_Olinorder(_u9287) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9287, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u9287, _u9288, _u9289)), c_SetInterval_Oord__class_OatLeastAtMost(_u9287, _u9290, _u9291)) = c_SetInterval_Oord__class_OatLeastAtMost(_u9287, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9287), _u9288), _u9290), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9287), _u9289), _u9291))) )).
% 19.53/19.77 cnf(matrix-4935, plain, ( ~class_Orderings_Oorder(_u9292) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9292, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u9292, _u9293, _u9294)), c_SetInterval_Oord__class_OatLeastAtMost(_u9292, _u9295, _u9296))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9292), _u9293), _u9294)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9292), _u9295), _u9293)) )).
% 19.53/19.77 cnf(matrix-4936, plain, ( ~class_Orderings_Oorder(_u9292) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9292, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u9292, _u9293, _u9294)), c_SetInterval_Oord__class_OatLeastAtMost(_u9292, _u9295, _u9296))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9292), _u9293), _u9294)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9292), _u9294), _u9296)) )).
% 19.53/19.77 cnf(matrix-4937, plain, ( ~class_Orderings_Oorder(_u9292) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9292, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u9292, _u9293, _u9294)), c_SetInterval_Oord__class_OatLeastAtMost(_u9292, _u9295, _u9296))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9292), _u9293), _u9294)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9292), _u9295), _u9293)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9292), _u9294), _u9296)) )).
% 19.53/19.77 cnf(matrix-4938, plain, ( ~class_Orderings_Oorder(_u9292) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9292, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u9292, _u9293, _u9294)), c_SetInterval_Oord__class_OatLeastAtMost(_u9292, _u9295, _u9296))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9292), _u9295), _u9296)) )).
% 19.53/19.77 cnf(matrix-4939, plain, ( ~class_Orderings_Oorder(_u9292) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9292, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u9292, _u9293, _u9294)), c_SetInterval_Oord__class_OatLeastAtMost(_u9292, _u9295, _u9296))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9292), _u9295), _u9296)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9292), _u9293), _u9294)) )).
% 19.53/19.77 cnf(matrix-4940, plain, ( ~class_Orderings_Oorder(_u9292) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9292, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u9292, _u9293, _u9294)), c_SetInterval_Oord__class_OatLeastAtMost(_u9292, _u9295, _u9296))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9292), _u9295), _u9296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9292), _u9295), _u9293)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9292), _u9294), _u9296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9292), _u9295), _u9293)) )).
% 19.53/19.77 cnf(matrix-4941, plain, ( ~class_Orderings_Oorder(_u9292) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u9292, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u9292, _u9293, _u9294)), c_SetInterval_Oord__class_OatLeastAtMost(_u9292, _u9295, _u9296))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9292), _u9295), _u9296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9292), _u9295), _u9293)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9292), _u9294), _u9296)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9292), _u9294), _u9296)) )).
% 19.53/19.77 cnf(matrix-4942, plain, ( ~class_Orderings_Oorder(_u9297) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9297, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u9297), _u9298)), c_SetInterval_Oord__class_OatLeastAtMost(_u9297, _u9298, _u9299)) = c_Orderings_Obot__class_Obot(tc_fun(_u9297, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-4943, plain, ( ~class_Groups_Ocomm__monoid__add(_u9300) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9301), _u9302)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9300), _u9303), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u9301, _u9302)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9300), hAPP(_u9303, _u9301)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9300), _u9303), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9301), _u9302)))) )).
% 19.53/19.77 cnf(matrix-4944, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9304), _u9305)) | 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)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u9304), _u9306)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u9305), _u9307))), c_FunDef_Opair__less)) )).
% 19.53/19.77 cnf(matrix-4945, plain, ( ~class_Groups_Ocomm__monoid__add(_u9308) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9309)), _u9310)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9308), _u9311), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u9310, hAPP(c_Nat_OSuc, _u9309))) = c_Groups_Ozero__class_Ozero(_u9308)) )).
% 19.53/19.77 cnf(matrix-4946, plain, ( ~class_Groups_Ocomm__monoid__add(_u9308) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u9309)), _u9310)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9308), _u9311), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u9310, hAPP(c_Nat_OSuc, _u9309))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9308), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9308), _u9311), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u9310, _u9309))), hAPP(_u9311, hAPP(c_Nat_OSuc, _u9309)))) )).
% 19.53/19.77 cnf(matrix-4947, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9312) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9313), _u9314)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u9312), _u9315), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9313, _u9312), _u9314), _u9316)) = hAPP(hAPP(c_Finite__Set_Ofold(_u9313, _u9312, hAPP(hAPP(c_COMBB(_u9312, tc_fun(_u9312, _u9312), _u9313), c_Lattices_Osemilattice__inf__class_Oinf(_u9312)), _u9316)), _u9315), _u9314)) )).
% 19.53/19.77 cnf(matrix-4948, plain, ( ~class_Groups_Ocomm__monoid__add(_u9317) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9318), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9319), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9317), _u9320), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u9318, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9319), _u9321))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9317), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9317), _u9320), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u9318, _u9319))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9317), _u9320), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9319), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9319), _u9321))))) )).
% 19.53/19.77 cnf(matrix-4949, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9323), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u9328))) | hBOOL(hAPP(_u9330, _u9323)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem181(_u9330, _u9328)), _u9328)) )).
% 19.53/19.77 cnf(matrix-4950, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9323), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u9328))) | hBOOL(hAPP(_u9330, _u9323)) | ~hBOOL(hAPP(_u9330, skolem181(_u9330, _u9328))) )).
% 19.53/19.77 cnf(matrix-4951, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9325), _u9329)) | hBOOL(hAPP(_u9331, _u9325)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem182(_u9331, _u9329)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u9329))) )).
% 19.53/19.77 cnf(matrix-4952, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9325), _u9329)) | hBOOL(hAPP(_u9331, _u9325)) | ~hBOOL(hAPP(_u9331, skolem182(_u9331, _u9329))) )).
% 19.53/19.77 cnf(matrix-4953, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9332), _u9338)) | ~hBOOL(hAPP(_u9340, _u9332)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem183(_u9340, _u9338)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u9338))) )).
% 19.53/19.77 cnf(matrix-4954, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9332), _u9338)) | ~hBOOL(hAPP(_u9340, _u9332)) | hBOOL(hAPP(_u9340, skolem183(_u9340, _u9338))) )).
% 19.53/19.77 cnf(matrix-4955, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9334), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u9339))) | ~hBOOL(hAPP(_u9341, _u9334)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem184(_u9341, _u9339)), _u9339)) )).
% 19.53/19.77 cnf(matrix-4956, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u9334), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u9339))) | ~hBOOL(hAPP(_u9341, _u9334)) | hBOOL(hAPP(_u9341, skolem184(_u9341, _u9339))) )).
% 19.53/19.77 cnf(matrix-4957, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9342), _u9343)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9344), _u9345)) | 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)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u9342), _u9344)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u9343), _u9345))), c_FunDef_Opair__leq)) )).
% 19.53/19.77 cnf(matrix-4958, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u9346), _u9347)) | ~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)), _u9348), _u9346)), 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)), _u9349), _u9347)), 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)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u9348), _u9349)), _u9347)), c_FunDef_Omax__strict)) )).
% 19.53/19.77 cnf(matrix-4959, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9357, tc_fun(_u9359, tc_HOL_Obool)), _u9361), _u9363), _u9365)) | ~hBOOL(hAPP(hAPP(c_member(_u9357), _u9350), _u9361)) | hBOOL(hAPP(hAPP(_u9363, _u9350), _u9365)) )).
% 19.53/19.77 cnf(matrix-4960, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9358, tc_fun(_u9360, tc_HOL_Obool)), _u9362), _u9364), _u9366)) | hBOOL(hAPP(hAPP(c_member(_u9358), skolem185(_u9366, _u9364, _u9362, _u9360, _u9358)), _u9362)) )).
% 19.53/19.77 cnf(matrix-4961, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9358, tc_fun(_u9360, tc_HOL_Obool)), _u9362), _u9364), _u9366)) | ~hBOOL(hAPP(hAPP(_u9364, skolem185(_u9366, _u9364, _u9362, _u9360, _u9358)), _u9366)) )).
% 19.53/19.77 cnf(matrix-4962, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9376, tc_fun(_u9378, tc_fun(_u9380, tc_HOL_Obool))), _u9382), _u9384), _u9386), _u9388)) | ~hBOOL(hAPP(hAPP(c_member(_u9376), _u9367), _u9382)) | hBOOL(hAPP(hAPP(hAPP(_u9384, _u9367), _u9386), _u9388)) )).
% 19.53/19.77 cnf(matrix-4963, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9377, tc_fun(_u9379, tc_fun(_u9381, tc_HOL_Obool))), _u9383), _u9385), _u9387), _u9389)) | hBOOL(hAPP(hAPP(c_member(_u9377), skolem186(_u9389, _u9387, _u9385, _u9383, _u9381, _u9379, _u9377)), _u9383)) )).
% 19.53/19.77 cnf(matrix-4964, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9377, tc_fun(_u9379, tc_fun(_u9381, tc_HOL_Obool))), _u9383), _u9385), _u9387), _u9389)) | ~hBOOL(hAPP(hAPP(hAPP(_u9385, skolem186(_u9389, _u9387, _u9385, _u9383, _u9381, _u9379, _u9377)), _u9387), _u9389)) )).
% 19.53/19.77 cnf(matrix-4965, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u9390)) | ( _u9390 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))) | 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_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), _u9390)), c_FunDef_Omax__strict)) )).
% 19.53/19.77 cnf(matrix-4966, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9393), _u9395)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u9395, _u9393) = c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-4967, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9394), _u9396)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u9396, _u9394) = hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint), _u9396), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9396), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u9394))) )).
% 19.53/19.77 cnf(matrix-4968, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u9397, _u9398)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9398), _u9397)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 19.53/19.77 cnf(matrix-4969, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9399), _u9400)) | 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)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u9399), _u9401)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u9400), _u9402))), c_FunDef_Opair__leq)) )).
% 19.53/19.77 cnf(matrix-4970, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u9403), _u9404)) | ~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)), _u9403), _u9405)), c_FunDef_Opair__leq)) | ~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)), _u9404), _u9406)), c_FunDef_Omin__weak)) | 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)), _u9404), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u9405), _u9406))), c_FunDef_Omin__weak)) )).
% 19.53/19.77 cnf(matrix-4971, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u9407), _u9408)) | ~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)), _u9409), _u9407)), c_FunDef_Opair__leq)) | ~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)), _u9410), _u9408)), c_FunDef_Omax__weak)) | 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)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u9409), _u9410)), _u9408)), c_FunDef_Omax__weak)) )).
% 19.53/19.77 cnf(matrix-4972, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u9411), _u9412)) | ~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)), _u9411), _u9413)), 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)), _u9412), _u9414)), c_FunDef_Omin__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)), _u9412), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u9413), _u9414))), c_FunDef_Omin__strict)) )).
% 19.53/19.77 cnf(matrix-4973, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9418)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9420), _u9417)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9420), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9417), _u9418))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem187(_u9420, _u9419, _u9418, _u9417)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9418))) )).
% 19.53/19.77 cnf(matrix-4974, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9418)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9420), _u9417)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9420), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9417), _u9418))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem188(_u9420, _u9419, _u9418, _u9417)), _u9419)) )).
% 19.53/19.77 cnf(matrix-4975, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9418)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9420), _u9417)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9420), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9417), _u9418))) | ( _u9417 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem188(_u9420, _u9419, _u9418, _u9417)), skolem187(_u9420, _u9419, _u9418, _u9417))) )).
% 19.53/19.77 cnf(matrix-4976, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u9421, _u9422))) )).
% 19.53/19.77 cnf(matrix-4977, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u9423)) | 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_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), _u9423)), c_FunDef_Omax__weak)) )).
% 19.53/19.77 cnf(matrix-4978, plain, ( 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)), _u9424), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__weak)) )).
% 19.53/19.77 cnf(matrix-4979, plain, ( ( _u9425 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))) | 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)), _u9425), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__strict)) )).
% 19.53/19.77 cnf(matrix-4980, plain, ( ( c_FunDef_Omin__weak = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__leq)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), 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_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool))))) )).
% 19.53/19.77 cnf(matrix-4981, plain, ( ( c_FunDef_Omax__weak = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__leq)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), 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_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_HOL_Obool))))) )).
% 19.53/19.77 cnf(matrix-4982, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9429)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9430), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u9431)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9428), _u9430)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9428), _u9429)), _u9430)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem189(_u9431, _u9430, _u9429, _u9428)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9429))) )).
% 19.53/19.77 cnf(matrix-4983, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9429)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9430), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u9431)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9428), _u9430)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9428), _u9429)), _u9430)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem190(_u9431, _u9430, _u9429, _u9428)), _u9431)) )).
% 19.53/19.77 cnf(matrix-4984, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9429)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9430), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u9431)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9428), _u9430)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9428), _u9429)), _u9430)) | ( _u9428 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem190(_u9431, _u9430, _u9429, _u9428)), skolem189(_u9431, _u9430, _u9429, _u9428))) )).
% 19.53/19.77 cnf(matrix-4985, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9435)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9436), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u9437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9436), _u9434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9436), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9434), _u9435))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem191(_u9437, _u9436, _u9435, _u9434)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9435))) )).
% 19.53/19.77 cnf(matrix-4986, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9435)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9436), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u9437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9436), _u9434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9436), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9434), _u9435))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem192(_u9437, _u9436, _u9435, _u9434)), _u9437)) )).
% 19.53/19.77 cnf(matrix-4987, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9435)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9436), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u9437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9436), _u9434)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9436), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9434), _u9435))) | ( _u9434 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem192(_u9437, _u9436, _u9435, _u9434)), skolem191(_u9437, _u9436, _u9435, _u9434))) )).
% 19.53/19.77 cnf(matrix-4988, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint, tc_HOL_Obool)))) )).
% 19.53/19.77 cnf(matrix-4989, plain, ( ( c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less)) )).
% 19.53/19.77 cnf(matrix-4990, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u9438, tc_HOL_Obool), tc_fun(_u9438, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u9438, tc_HOL_Obool), tc_fun(_u9438, tc_HOL_Obool)), _u9439), _u9440)), c_Wellfounded_Omax__ext(_u9438, _u9441))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u9438, tc_HOL_Obool), tc_fun(_u9438, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u9438, tc_HOL_Obool), tc_fun(_u9438, tc_HOL_Obool)), _u9442), _u9443)), c_Wellfounded_Omax__ext(_u9438, _u9441))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u9438, tc_HOL_Obool), tc_fun(_u9438, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u9438, tc_HOL_Obool), tc_fun(_u9438, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9438, tc_HOL_Obool)), _u9439), _u9442)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9438, tc_HOL_Obool)), _u9440), _u9443))), c_Wellfounded_Omax__ext(_u9438, _u9441))) )).
% 19.53/19.77 cnf(matrix-4991, plain, ( ( c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less)) )).
% 19.53/19.77 cnf(matrix-4992, plain, ( ~c_Wellfounded_Omax__extp(_u9448, hAPP(hAPP(c_COMBC(_u9448, tc_fun(tc_prod(_u9448, _u9448), tc_HOL_Obool), tc_fun(_u9448, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9448, tc_fun(tc_fun(tc_prod(_u9448, _u9448), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9448, _u9448), tc_HOL_Obool), tc_fun(_u9448, tc_HOL_Obool)), _u9448), c_COMBC(_u9448, tc_fun(tc_prod(_u9448, _u9448), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9448, tc_prod(_u9448, _u9448)), tc_fun(_u9448, tc_fun(tc_fun(tc_prod(_u9448, _u9448), tc_HOL_Obool), tc_HOL_Obool)), _u9448), hAPP(c_COMBB(tc_prod(_u9448, _u9448), tc_fun(tc_fun(tc_prod(_u9448, _u9448), tc_HOL_Obool), tc_HOL_Obool), _u9448), c_member(tc_prod(_u9448, _u9448)))), c_Product__Type_OPair(_u9448, _u9448)))), _u9450), _u9452, _u9454) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u9448, tc_HOL_Obool), tc_fun(_u9448, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u9448, tc_HOL_Obool), tc_fun(_u9448, tc_HOL_Obool)), _u9452), _u9454)), c_Wellfounded_Omax__ext(_u9448, _u9450))) )).
% 19.53/19.77 cnf(matrix-4993, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u9449, tc_HOL_Obool), tc_fun(_u9449, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u9449, tc_HOL_Obool), tc_fun(_u9449, tc_HOL_Obool)), _u9453), _u9455)), c_Wellfounded_Omax__ext(_u9449, _u9451))) | c_Wellfounded_Omax__extp(_u9449, hAPP(hAPP(c_COMBC(_u9449, tc_fun(tc_prod(_u9449, _u9449), tc_HOL_Obool), tc_fun(_u9449, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9449, tc_fun(tc_fun(tc_prod(_u9449, _u9449), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9449, _u9449), tc_HOL_Obool), tc_fun(_u9449, tc_HOL_Obool)), _u9449), c_COMBC(_u9449, tc_fun(tc_prod(_u9449, _u9449), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9449, tc_prod(_u9449, _u9449)), tc_fun(_u9449, tc_fun(tc_fun(tc_prod(_u9449, _u9449), tc_HOL_Obool), tc_HOL_Obool)), _u9449), hAPP(c_COMBB(tc_prod(_u9449, _u9449), tc_fun(tc_fun(tc_prod(_u9449, _u9449), tc_HOL_Obool), tc_HOL_Obool), _u9449), c_member(tc_prod(_u9449, _u9449)))), c_Product__Type_OPair(_u9449, _u9449)))), _u9451), _u9453, _u9455) )).
% 19.53/19.77 cnf(matrix-4994, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9459)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9460), _u9461)) | ( _u9458 = _u9460) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9458), _u9459) != _u9460) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem193(_u9461, _u9460, _u9459, _u9458)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9459))) )).
% 19.53/19.77 cnf(matrix-4995, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9459)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9460), _u9461)) | ( _u9458 = _u9460) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9458), _u9459) != _u9460) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem194(_u9461, _u9460, _u9459, _u9458)), _u9461)) )).
% 19.53/19.77 cnf(matrix-4996, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9459)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9460), _u9461)) | ( _u9458 = _u9460) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9458), _u9459) != _u9460) | ( _u9458 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem194(_u9461, _u9460, _u9459, _u9458)), skolem193(_u9461, _u9460, _u9459, _u9458))) )).
% 19.53/19.77 cnf(matrix-4997, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9465)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9466), _u9467)) | ( _u9464 = _u9466) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9464), _u9465) != _u9466) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem195(_u9467, _u9466, _u9465, _u9464)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9465))) )).
% 19.53/19.77 cnf(matrix-4998, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9465)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9466), _u9467)) | ( _u9464 = _u9466) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9464), _u9465) != _u9466) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem196(_u9467, _u9466, _u9465, _u9464)), _u9467)) )).
% 19.53/19.77 cnf(matrix-4999, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9465)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9466), _u9467)) | ( _u9464 = _u9466) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9464), _u9465) != _u9466) | ( _u9464 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem196(_u9467, _u9466, _u9465, _u9464)), skolem195(_u9467, _u9466, _u9465, _u9464))) )).
% 19.53/19.77 cnf(matrix-5000, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9471)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9472), _u9473)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9472), _u9470)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9472), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9470), _u9471))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem197(_u9473, _u9472, _u9471, _u9470)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9471))) )).
% 19.53/19.77 cnf(matrix-5001, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9471)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9472), _u9473)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9472), _u9470)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9472), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9470), _u9471))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem198(_u9473, _u9472, _u9471, _u9470)), _u9473)) )).
% 19.53/19.77 cnf(matrix-5002, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9471)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9472), _u9473)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9472), _u9470)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9472), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9470), _u9471))) | ( _u9470 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem198(_u9473, _u9472, _u9471, _u9470)), skolem197(_u9473, _u9472, _u9471, _u9470))) )).
% 19.53/19.77 cnf(matrix-5003, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9476)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9477), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u9478)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9477), _u9476) = _u9477) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem199(_u9478, _u9477, _u9476)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9476))) )).
% 19.53/19.77 cnf(matrix-5004, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9476)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9477), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u9478)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9477), _u9476) = _u9477) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem200(_u9478, _u9477, _u9476)), _u9478)) )).
% 19.53/19.77 cnf(matrix-5005, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9476)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9477), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u9478)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9477), _u9476) = _u9477) | ( _u9477 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem200(_u9478, _u9477, _u9476)), skolem199(_u9478, _u9477, _u9476))) )).
% 19.53/19.77 cnf(matrix-5006, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9481)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9482), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u9483)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9482), _u9481) = _u9482) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem201(_u9483, _u9482, _u9481)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9481))) )).
% 19.53/19.77 cnf(matrix-5007, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9481)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9482), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u9483)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9482), _u9481) = _u9482) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem202(_u9483, _u9482, _u9481)), _u9483)) )).
% 19.53/19.77 cnf(matrix-5008, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9481)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9482), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u9483)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9482), _u9481) = _u9482) | ( _u9482 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem202(_u9483, _u9482, _u9481)), skolem201(_u9483, _u9482, _u9481))) )).
% 19.53/19.77 cnf(matrix-5009, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9487)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9488), _u9489)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9486), _u9488)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9486), _u9487)), _u9488)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem203(_u9489, _u9488, _u9487, _u9486)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9487))) )).
% 19.53/19.77 cnf(matrix-5010, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9487)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9488), _u9489)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9486), _u9488)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9486), _u9487)), _u9488)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem204(_u9489, _u9488, _u9487, _u9486)), _u9489)) )).
% 19.53/19.77 cnf(matrix-5011, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9487)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9488), _u9489)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9486), _u9488)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9486), _u9487)), _u9488)) | ( _u9486 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem204(_u9489, _u9488, _u9487, _u9486)), skolem203(_u9489, _u9488, _u9487, _u9486))) )).
% 19.53/19.77 cnf(matrix-5012, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9493)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9492), _u9495)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9492), _u9493)), _u9495)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem205(_u9495, _u9494, _u9493, _u9492)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9493))) )).
% 19.53/19.77 cnf(matrix-5013, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9493)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9492), _u9495)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9492), _u9493)), _u9495)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem206(_u9495, _u9494, _u9493, _u9492)), _u9494)) )).
% 19.53/19.77 cnf(matrix-5014, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9493)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9492), _u9495)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9492), _u9493)), _u9495)) | ( _u9492 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem206(_u9495, _u9494, _u9493, _u9492)), skolem205(_u9495, _u9494, _u9493, _u9492))) )).
% 19.53/19.77 cnf(matrix-5015, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9502)) | ~hBOOL(hAPP(_u9503, _u9498)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem211(_u9503, _u9502)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9502))) | hBOOL(hAPP(_u9503, skolem207(_u9503, _u9502))) | ~hBOOL(hAPP(_u9503, skolem209(_u9503, _u9502))) )).
% 19.53/19.77 cnf(matrix-5016, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9502)) | ~hBOOL(hAPP(_u9503, _u9498)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem211(_u9503, _u9502)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9502))) | hBOOL(hAPP(_u9503, skolem207(_u9503, _u9502))) | hBOOL(hAPP(_u9503, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem209(_u9503, _u9502)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem210(_u9503, _u9502)), _u9502)))) )).
% 19.53/19.77 cnf(matrix-5017, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9502)) | ~hBOOL(hAPP(_u9503, _u9498)) | hBOOL(hAPP(_u9503, skolem211(_u9503, _u9502))) | hBOOL(hAPP(_u9503, skolem207(_u9503, _u9502))) | ~hBOOL(hAPP(_u9503, skolem209(_u9503, _u9502))) )).
% 19.53/19.77 cnf(matrix-5018, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9502)) | ~hBOOL(hAPP(_u9503, _u9498)) | hBOOL(hAPP(_u9503, skolem211(_u9503, _u9502))) | hBOOL(hAPP(_u9503, skolem207(_u9503, _u9502))) | hBOOL(hAPP(_u9503, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem209(_u9503, _u9502)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem210(_u9503, _u9502)), _u9502)))) )).
% 19.53/19.77 cnf(matrix-5019, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9502)) | ~hBOOL(hAPP(_u9503, _u9498)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem211(_u9503, _u9502)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9502))) | ~hBOOL(hAPP(_u9503, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem207(_u9503, _u9502)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem208(_u9503, _u9502)), _u9502)))) | ~hBOOL(hAPP(_u9503, skolem209(_u9503, _u9502))) )).
% 19.53/19.77 cnf(matrix-5020, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9502)) | ~hBOOL(hAPP(_u9503, _u9498)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem211(_u9503, _u9502)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9502))) | ~hBOOL(hAPP(_u9503, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem207(_u9503, _u9502)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem208(_u9503, _u9502)), _u9502)))) | hBOOL(hAPP(_u9503, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem209(_u9503, _u9502)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem210(_u9503, _u9502)), _u9502)))) )).
% 19.53/19.77 cnf(matrix-5021, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9502)) | ~hBOOL(hAPP(_u9503, _u9498)) | hBOOL(hAPP(_u9503, skolem211(_u9503, _u9502))) | ~hBOOL(hAPP(_u9503, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem207(_u9503, _u9502)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem208(_u9503, _u9502)), _u9502)))) | ~hBOOL(hAPP(_u9503, skolem209(_u9503, _u9502))) )).
% 19.53/19.77 cnf(matrix-5022, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9502)) | ~hBOOL(hAPP(_u9503, _u9498)) | hBOOL(hAPP(_u9503, skolem211(_u9503, _u9502))) | ~hBOOL(hAPP(_u9503, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem207(_u9503, _u9502)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem208(_u9503, _u9502)), _u9502)))) | hBOOL(hAPP(_u9503, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem209(_u9503, _u9502)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem210(_u9503, _u9502)), _u9502)))) )).
% 19.53/19.77 cnf(matrix-5023, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9502)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9500), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9502))) | ~hBOOL(hAPP(_u9503, _u9500)) | hBOOL(hAPP(_u9503, skolem212(_u9503, _u9502))) | hBOOL(hAPP(_u9503, skolem207(_u9503, _u9502))) | ~hBOOL(hAPP(_u9503, skolem209(_u9503, _u9502))) )).
% 19.53/19.77 cnf(matrix-5024, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9502)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9500), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9502))) | ~hBOOL(hAPP(_u9503, _u9500)) | hBOOL(hAPP(_u9503, skolem212(_u9503, _u9502))) | hBOOL(hAPP(_u9503, skolem207(_u9503, _u9502))) | hBOOL(hAPP(_u9503, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem209(_u9503, _u9502)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem210(_u9503, _u9502)), _u9502)))) )).
% 19.53/19.77 cnf(matrix-5025, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9502)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9500), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9502))) | ~hBOOL(hAPP(_u9503, _u9500)) | hBOOL(hAPP(_u9503, skolem212(_u9503, _u9502))) | ~hBOOL(hAPP(_u9503, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem207(_u9503, _u9502)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem208(_u9503, _u9502)), _u9502)))) | ~hBOOL(hAPP(_u9503, skolem209(_u9503, _u9502))) )).
% 19.53/19.77 cnf(matrix-5026, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9502)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u9500), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9502))) | ~hBOOL(hAPP(_u9503, _u9500)) | hBOOL(hAPP(_u9503, skolem212(_u9503, _u9502))) | ~hBOOL(hAPP(_u9503, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem207(_u9503, _u9502)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem208(_u9503, _u9502)), _u9502)))) | hBOOL(hAPP(_u9503, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem209(_u9503, _u9502)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem210(_u9503, _u9502)), _u9502)))) )).
% 19.53/19.77 cnf(matrix-5027, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9511)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9510), _u9513)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9510), _u9511)), _u9513)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem213(_u9513, _u9512, _u9511, _u9510)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9511))) )).
% 19.53/19.77 cnf(matrix-5028, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9511)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9510), _u9513)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9510), _u9511)), _u9513)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem214(_u9513, _u9512, _u9511, _u9510)), _u9512)) )).
% 19.53/19.77 cnf(matrix-5029, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9511)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9510), _u9513)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9510), _u9511)), _u9513)) | ( _u9510 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem214(_u9513, _u9512, _u9511, _u9510)), skolem213(_u9513, _u9512, _u9511, _u9510))) )).
% 19.53/19.77 cnf(matrix-5030, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9517)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9519), _u9516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9519), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9516), _u9517))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem215(_u9519, _u9518, _u9517, _u9516)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u9517))) )).
% 19.53/19.77 cnf(matrix-5031, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9517)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9519), _u9516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9519), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9516), _u9517))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem216(_u9519, _u9518, _u9517, _u9516)), _u9518)) )).
% 19.53/19.77 cnf(matrix-5032, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9517)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9519), _u9516)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9519), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9516), _u9517))) | ( _u9516 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem216(_u9519, _u9518, _u9517, _u9516)), skolem215(_u9519, _u9518, _u9517, _u9516))) )).
% 19.53/19.77 cnf(matrix-5033, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u9520, _u9521)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9521), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9520), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 19.53/19.77 cnf(matrix-5034, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u9522, _u9523))) )).
% 19.53/19.77 cnf(matrix-5035, plain, ( ~class_Orderings_Oorder(_u9524) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9524), _u9525), _u9526)) | ( c_SetInterval_Oord__class_OgreaterThanLessThan(_u9524, _u9526, _u9525) = c_Orderings_Obot__class_Obot(tc_fun(_u9524, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5036, plain, ( ~class_Orderings_Oorder(_u9527) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9527, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u9527, _u9528, _u9529)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9527, _u9529, _u9530)) = c_Orderings_Obot__class_Obot(tc_fun(_u9527, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5037, plain, ( ~class_Orderings_Oorder(_u9531) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9531, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9531, _u9532, _u9533)), c_SetInterval_Oord__class_OatLeastAtMost(_u9531, _u9533, _u9534)) = c_Orderings_Obot__class_Obot(tc_fun(_u9531, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5038, plain, ( ~class_Orderings_Olinorder(_u9535) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9535, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9535, _u9536, _u9537)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9535, _u9538, _u9539)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u9535, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9535), _u9536), _u9538), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9535), _u9537), _u9539))) )).
% 19.53/19.77 cnf(matrix-5039, plain, ( 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)) )).
% 19.53/19.77 cnf(matrix-5040, plain, ( 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)) )).
% 19.53/19.77 cnf(matrix-5041, plain, ( ~class_Orderings_Olinorder(_u9540) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9540), _u9541), _u9542)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9540), _u9542), _u9543)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9540, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9540, _u9541, _u9542)), c_SetInterval_Oord__class_OatLeastAtMost(_u9540, _u9542, _u9543)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u9540, _u9541, _u9543)) )).
% 19.53/19.77 cnf(matrix-5042, plain, ( ~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), _u9546), _u9548)), c_Wellfounded_Oless__than)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9546), _u9548)) )).
% 19.53/19.77 cnf(matrix-5043, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9547), _u9549)) | 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), _u9547), _u9549)), c_Wellfounded_Oless__than)) )).
% 19.53/19.77 cnf(matrix-5044, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u9550, _u9551))) )).
% 19.53/19.77 cnf(matrix-5045, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u9552, _u9553))) )).
% 19.53/19.77 cnf(matrix-5046, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u9554, _u9555))) )).
% 19.53/19.77 cnf(matrix-5047, plain, ( ~class_Orderings_Oorder(_u9556) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9556), _u9557), _u9558)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u9556, _u9558, _u9557) = c_Orderings_Obot__class_Obot(tc_fun(_u9556, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5048, plain, ( ~class_Orderings_Oorder(_u9559) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u9559, _u9560, _u9561) != c_Orderings_Obot__class_Obot(tc_fun(_u9559, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9559), _u9560), _u9561)) )).
% 19.53/19.77 cnf(matrix-5049, plain, ( ~class_Orderings_Oorder(_u9559) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9559), _u9560), _u9561)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u9559, _u9560, _u9561) = c_Orderings_Obot__class_Obot(tc_fun(_u9559, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5050, plain, ( ~class_Orderings_Oorder(_u9562) | ( c_Orderings_Obot__class_Obot(tc_fun(_u9562, tc_HOL_Obool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(_u9562, _u9563, _u9564)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9562), _u9563), _u9564)) )).
% 19.53/19.77 cnf(matrix-5051, plain, ( ~class_Orderings_Oorder(_u9562) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9562), _u9563), _u9564)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u9562, tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u9562, _u9563, _u9564)) )).
% 19.53/19.77 cnf(matrix-5052, plain, ( ~class_Orderings_Olinorder(_u9565) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9565), _u9566), _u9567)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9565), _u9567), _u9568)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9565, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u9565, _u9566, _u9567)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u9565, _u9567, _u9568)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u9565, _u9566, _u9568)) )).
% 19.53/19.77 cnf(matrix-5053, plain, ( ~class_Orderings_Oorder(_u9569) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9569, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u9569, _u9570, _u9571)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u9569, _u9571, _u9572)) = c_Orderings_Obot__class_Obot(tc_fun(_u9569, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5054, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9573), _u9574) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u9573, _u9574)) )).
% 19.53/19.77 cnf(matrix-5055, plain, ( ( c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_Nat_Onat, c_Wellfounded_Oless__than, c_Wellfounded_Oless__than)) )).
% 19.53/19.77 cnf(matrix-5056, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u9575, _u9576)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9576), _u9575)) )).
% 19.53/19.77 cnf(matrix-5057, plain, ( ~class_Orderings_Olinorder(_u9577) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9577), _u9578), _u9579)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9577), _u9579), _u9580)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9577, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u9577, _u9578, _u9579)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u9577, _u9579, _u9580)) = c_SetInterval_Oord__class_OatLeastAtMost(_u9577, _u9578, _u9580)) )).
% 19.53/19.77 cnf(matrix-5058, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9581), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u9582) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u9581, _u9582)) )).
% 19.53/19.77 cnf(matrix-5059, plain, ( ~class_Orderings_Oorder(_u9583) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9583, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u9583, _u9584, _u9585)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u9583, _u9585, _u9586)) = c_Orderings_Obot__class_Obot(tc_fun(_u9583, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5060, plain, ( ~class_Orderings_Olinorder(_u9587) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9587, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u9587, _u9588, _u9589)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u9587, _u9590, _u9591)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u9587, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9587), _u9588), _u9590), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9587), _u9589), _u9591))) )).
% 19.53/19.77 cnf(matrix-5061, plain, ( ~class_Orderings_Oorder(_u9592) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9592, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u9592, _u9593, _u9594)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9592, _u9594, _u9595)) = c_Orderings_Obot__class_Obot(tc_fun(_u9592, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5062, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u9596, _u9597)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9597), hAPP(c_Nat_OSuc, _u9596))) )).
% 19.53/19.77 cnf(matrix-5063, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u9598, _u9599)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9599), _u9598))) )).
% 19.53/19.77 cnf(matrix-5064, plain, ( ~class_Orderings_Olinorder(_u9600) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9600), _u9601), _u9602)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9600), _u9602), _u9603)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9600, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u9600, _u9601, _u9602)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9600, _u9602, _u9603)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u9600, _u9601, _u9603)) )).
% 19.53/19.77 cnf(matrix-5065, plain, ( ~class_Groups_Ocomm__monoid__add(_u9604) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9605), _u9606)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9604), _u9607), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u9605, _u9606)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9604), hAPP(_u9607, _u9605)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u9604), _u9607), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u9605, _u9606)))) )).
% 19.53/19.77 cnf(matrix-5066, plain, ( ~class_Orderings_Olinorder(_u9608) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9608), _u9609), _u9610)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9608, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9608), _u9609), c_Orderings_Obot__class_Obot(tc_fun(_u9608, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanAtMost(_u9608, _u9609, _u9610)) = c_SetInterval_Oord__class_OatLeastAtMost(_u9608, _u9609, _u9610)) )).
% 19.53/19.77 cnf(matrix-5067, plain, ( ~class_Orderings_Olinorder(_u9611) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9611), _u9612), _u9613)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9611, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u9611, _u9612, _u9613)), hAPP(hAPP(c_Set_Oinsert(_u9611), _u9613), c_Orderings_Obot__class_Obot(tc_fun(_u9611, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u9611, _u9612, _u9613)) )).
% 19.53/19.77 cnf(matrix-5068, plain, ( ( c_Wellfounded_Omlex__prod(_u9614, _u9615, _u9616) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, _u9614), _u9614), c_Wellfounded_Olex__prod(tc_Nat_Onat, _u9614, c_Wellfounded_Oless__than, _u9616)), hAPP(hAPP(c_COMBS(_u9614, _u9614, tc_prod(tc_Nat_Onat, _u9614)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u9614, tc_prod(tc_Nat_Onat, _u9614)), _u9614), c_Product__Type_OPair(tc_Nat_Onat, _u9614)), _u9615)), c_COMBI(_u9614)))) )).
% 19.53/19.77 cnf(matrix-5069, plain, ( ~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)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u9621), _u9623)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u9625), _u9627))), c_Int_Ointrel)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9621), _u9627) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9625), _u9623)) )).
% 19.53/19.77 cnf(matrix-5070, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9622), _u9628) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9626), _u9624)) | 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)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u9622), _u9624)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u9626), _u9628))), c_Int_Ointrel)) )).
% 19.53/19.77 cnf(matrix-5071, plain, ( ~c_FunDef_Oreduction__pair(_u9629, _u9630) | c_FunDef_Oreduction__pair(_u9631, hAPP(hAPP(c_FunDef_Orp__inv__image(_u9629, _u9631), _u9630), _u9632)) )).
% 19.53/19.77 cnf(matrix-5072, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9633) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9634), _u9635)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9634, _u9633), _u9635), _u9636) = hAPP(hAPP(c_Finite__Set_Ofold(_u9634, _u9633, hAPP(hAPP(c_COMBB(_u9633, tc_fun(_u9633, _u9633), _u9634), c_Lattices_Osemilattice__sup__class_Osup(_u9633)), _u9636)), c_Orderings_Obot__class_Obot(_u9633)), _u9635)) )).
% 19.53/19.77 cnf(matrix-5073, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9637), _u9638), _u9639)) | ~hBOOL(hAPP(hAPP(c_member(_u9640), _u9641), hAPP(_u9642, _u9638))) | hBOOL(hAPP(hAPP(c_member(_u9640), _u9641), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9637, tc_fun(_u9640, tc_HOL_Obool)), _u9639), _u9642))) )).
% 19.53/19.77 cnf(matrix-5074, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9643), _u9644), _u9645)) | ~hBOOL(hAPP(hAPP(_u9646, _u9644), _u9647)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9643, tc_fun(_u9648, tc_HOL_Obool)), _u9645), _u9646), _u9647)) )).
% 19.53/19.77 cnf(matrix-5075, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9649), _u9650), _u9651)) | ~hBOOL(hAPP(hAPP(hAPP(_u9652, _u9650), _u9653), _u9654)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9649, tc_fun(_u9655, tc_fun(_u9656, tc_HOL_Obool))), _u9651), _u9652), _u9653), _u9654)) )).
% 19.53/19.77 cnf(matrix-5076, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9663, tc_fun(_u9665, tc_HOL_Obool)), _u9667), _u9669) != c_Orderings_Obot__class_Obot(tc_fun(_u9665, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u9663), _u9657), _u9667)) | ( hAPP(_u9669, _u9657) = c_Orderings_Obot__class_Obot(tc_fun(_u9665, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5077, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9664, tc_fun(_u9666, tc_HOL_Obool)), _u9668), _u9670) = c_Orderings_Obot__class_Obot(tc_fun(_u9666, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u9664), skolem217(_u9670, _u9668, _u9666, _u9664)), _u9668)) )).
% 19.53/19.77 cnf(matrix-5078, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9664, tc_fun(_u9666, tc_HOL_Obool)), _u9668), _u9670) = c_Orderings_Obot__class_Obot(tc_fun(_u9666, tc_HOL_Obool))) | ( hAPP(_u9670, skolem217(_u9670, _u9668, _u9666, _u9664)) != c_Orderings_Obot__class_Obot(tc_fun(_u9666, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5079, plain, ( ( _u9675 != c_Orderings_Obot__class_Obot(tc_fun(_u9677, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9677, tc_fun(_u9679, tc_HOL_Obool)), _u9675), hAPP(c_COMBK(tc_fun(_u9679, tc_HOL_Obool), _u9677), _u9681)) = c_Orderings_Obot__class_Obot(tc_fun(_u9679, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5080, plain, ( ( _u9676 = c_Orderings_Obot__class_Obot(tc_fun(_u9678, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9678, tc_fun(_u9680, tc_HOL_Obool)), _u9676), hAPP(c_COMBK(tc_fun(_u9680, tc_HOL_Obool), _u9678), _u9682)) = _u9682) )).
% 19.53/19.77 cnf(matrix-5081, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9683, tc_fun(_u9684, tc_HOL_Obool)), _u9685), hAPP(c_COMBK(tc_fun(_u9684, tc_HOL_Obool), _u9683), c_Orderings_Obot__class_Obot(tc_fun(_u9684, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u9684, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5082, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u9692, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9694, tc_fun(_u9692, tc_HOL_Obool)), _u9696), _u9698)) | ~hBOOL(hAPP(hAPP(c_member(_u9694), _u9686), _u9696)) | ( hAPP(_u9698, _u9686) = c_Orderings_Obot__class_Obot(tc_fun(_u9692, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5083, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u9693, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9695, tc_fun(_u9693, tc_HOL_Obool)), _u9697), _u9699)) | hBOOL(hAPP(hAPP(c_member(_u9695), skolem218(_u9699, _u9697, _u9695, _u9693)), _u9697)) )).
% 19.53/19.77 cnf(matrix-5084, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u9693, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9695, tc_fun(_u9693, tc_HOL_Obool)), _u9697), _u9699)) | ( hAPP(_u9699, skolem218(_u9699, _u9697, _u9695, _u9693)) != c_Orderings_Obot__class_Obot(tc_fun(_u9693, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5085, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9702), _u9703)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9704), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9702, tc_fun(_u9704, tc_HOL_Obool)), _u9703), _u9705))) | ~hBOOL(hAPP(hAPP(c_member(_u9702), _u9700), _u9703)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9704), hAPP(_u9705, _u9700))) )).
% 19.53/19.77 cnf(matrix-5086, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9702), _u9703)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9704), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9702, tc_fun(_u9704, tc_HOL_Obool)), _u9703), _u9705))) | hBOOL(hAPP(hAPP(c_member(_u9702), skolem219(_u9705, _u9704, _u9703, _u9702)), _u9703)) )).
% 19.53/19.77 cnf(matrix-5087, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9702), _u9703)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u9704), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9702, tc_fun(_u9704, tc_HOL_Obool)), _u9703), _u9705))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9704), hAPP(_u9705, skolem219(_u9705, _u9704, _u9703, _u9702)))) )).
% 19.53/19.77 cnf(matrix-5088, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9706, tc_fun(_u9707, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9706, tc_HOL_Obool)), _u9708), _u9709)), _u9710) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9707, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9706, tc_fun(_u9707, tc_HOL_Obool)), _u9708), _u9710)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9706, tc_fun(_u9707, tc_HOL_Obool)), _u9709), _u9710))) )).
% 19.53/19.77 cnf(matrix-5089, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9711, tc_fun(_u9712, tc_HOL_Obool)), _u9713), hAPP(hAPP(c_COMBS(_u9711, tc_fun(_u9712, tc_HOL_Obool), tc_fun(_u9712, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9712, tc_HOL_Obool), tc_fun(tc_fun(_u9712, tc_HOL_Obool), tc_fun(_u9712, tc_HOL_Obool)), _u9711), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9712, tc_HOL_Obool))), _u9714)), _u9715)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9712, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9711, tc_fun(_u9712, tc_HOL_Obool)), _u9713), _u9714)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9711, tc_fun(_u9712, tc_HOL_Obool)), _u9713), _u9715))) )).
% 19.53/19.77 cnf(matrix-5090, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9723), _u9725), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9727, tc_fun(_u9723, tc_HOL_Obool)), _u9729), _u9731))) | hBOOL(hAPP(hAPP(c_member(_u9727), skolem220(_u9731, _u9729, _u9727, _u9725, _u9723)), _u9729)) )).
% 19.53/19.77 cnf(matrix-5091, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9723), _u9725), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9727, tc_fun(_u9723, tc_HOL_Obool)), _u9729), _u9731))) | hBOOL(hAPP(hAPP(c_member(_u9723), _u9725), hAPP(_u9731, skolem220(_u9731, _u9729, _u9727, _u9725, _u9723)))) )).
% 19.53/19.77 cnf(matrix-5092, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9728), _u9717), _u9730)) | ~hBOOL(hAPP(hAPP(c_member(_u9724), _u9726), hAPP(_u9732, _u9717))) | hBOOL(hAPP(hAPP(c_member(_u9724), _u9726), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9728, tc_fun(_u9724, tc_HOL_Obool)), _u9730), _u9732))) )).
% 19.53/19.77 cnf(matrix-5093, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9733, tc_fun(_u9734, tc_HOL_Obool)), _u9735), hAPP(hAPP(c_COMBC(_u9733, tc_fun(_u9736, tc_fun(_u9734, tc_HOL_Obool)), tc_fun(_u9734, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9736, tc_HOL_Obool), tc_fun(tc_fun(_u9736, tc_fun(_u9734, tc_HOL_Obool)), tc_fun(_u9734, tc_HOL_Obool)), _u9733), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9736, tc_fun(_u9734, tc_HOL_Obool))), _u9737)), _u9738)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9736, tc_fun(_u9734, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9733, tc_fun(_u9736, tc_HOL_Obool)), _u9735), _u9737)), _u9738)) )).
% 19.53/19.77 cnf(matrix-5094, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9739, tc_fun(_u9740, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9741, tc_fun(_u9739, tc_HOL_Obool)), _u9742), _u9743)), _u9744) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9741, tc_fun(_u9740, tc_HOL_Obool)), _u9742), hAPP(hAPP(c_COMBC(_u9741, tc_fun(_u9739, tc_fun(_u9740, tc_HOL_Obool)), tc_fun(_u9740, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9739, tc_HOL_Obool), tc_fun(tc_fun(_u9739, tc_fun(_u9740, tc_HOL_Obool)), tc_fun(_u9740, tc_HOL_Obool)), _u9741), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9739, tc_fun(_u9740, tc_HOL_Obool))), _u9743)), _u9744))) )).
% 19.53/19.77 cnf(matrix-5095, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9745, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9746, tc_fun(_u9745, tc_HOL_Obool)), _u9747), _u9748)), _u9749) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9746, tc_fun(_u9745, tc_HOL_Obool)), _u9747), hAPP(hAPP(c_COMBC(_u9746, tc_fun(_u9745, tc_HOL_Obool), tc_fun(_u9745, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9745, tc_HOL_Obool), tc_fun(tc_fun(_u9745, tc_HOL_Obool), tc_fun(_u9745, tc_HOL_Obool)), _u9746), c_Groups_Ominus__class_Ominus(tc_fun(_u9745, tc_HOL_Obool))), _u9748)), _u9749))) )).
% 19.53/19.77 cnf(matrix-5096, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9750, tc_fun(_u9751, tc_HOL_Obool)), _u9752), hAPP(hAPP(c_COMBC(_u9750, tc_fun(_u9751, tc_HOL_Obool), tc_fun(_u9751, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9751, tc_HOL_Obool), tc_fun(tc_fun(_u9751, tc_HOL_Obool), tc_fun(_u9751, tc_HOL_Obool)), _u9750), c_Groups_Ominus__class_Ominus(tc_fun(_u9751, tc_HOL_Obool))), _u9753)), _u9754)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9751, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9750, tc_fun(_u9751, tc_HOL_Obool)), _u9752), _u9753)), _u9754)) )).
% 19.53/19.77 cnf(matrix-5097, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u9755, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9756, tc_fun(tc_fun(_u9755, tc_HOL_Obool), tc_HOL_Obool)), _u9757), hAPP(hAPP(c_COMBB(tc_fun(_u9755, tc_HOL_Obool), tc_fun(tc_fun(_u9755, tc_HOL_Obool), tc_HOL_Obool), _u9756), c_Set_OPow(_u9755)), _u9758))), hAPP(c_Set_OPow(_u9755), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9756, tc_fun(_u9755, tc_HOL_Obool)), _u9757), _u9758)))) )).
% 19.53/19.77 cnf(matrix-5098, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9759) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9760, _u9759), _u9761), hAPP(hAPP(c_COMBB(tc_fun(_u9762, _u9759), _u9759, _u9760), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9762, _u9759), _u9763)), _u9764)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9762, _u9759), _u9763), hAPP(hAPP(c_COMBB(tc_fun(_u9760, _u9759), _u9759, _u9762), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9760, _u9759), _u9761)), hAPP(c_COMBC(_u9760, _u9762, _u9759), _u9764)))) )).
% 19.53/19.77 cnf(matrix-5099, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9765) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9766, tc_fun(_u9767, _u9765)), _u9768), _u9769), _u9770) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9766, _u9765), _u9768), hAPP(hAPP(c_COMBC(_u9766, _u9767, _u9765), _u9769), _u9770))) )).
% 19.53/19.77 cnf(matrix-5100, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9771, tc_fun(_u9772, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9771, tc_HOL_Obool), _u9773)), _u9774) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9771, tc_HOL_Obool), tc_fun(_u9772, tc_HOL_Obool)), _u9773), hAPP(hAPP(c_COMBC(tc_fun(_u9771, tc_HOL_Obool), tc_fun(_u9771, tc_fun(_u9772, tc_HOL_Obool)), tc_fun(_u9772, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9771, tc_fun(_u9772, tc_HOL_Obool))), _u9774))) )).
% 19.53/19.77 cnf(matrix-5101, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9775, tc_HOL_Obool), tc_fun(_u9776, tc_HOL_Obool)), _u9777), hAPP(hAPP(c_COMBC(tc_fun(_u9775, tc_HOL_Obool), tc_fun(_u9775, tc_fun(_u9776, tc_HOL_Obool)), tc_fun(_u9776, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9775, tc_fun(_u9776, tc_HOL_Obool))), _u9778)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9775, tc_fun(_u9776, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9775, tc_HOL_Obool), _u9777)), _u9778)) )).
% 19.53/19.77 cnf(matrix-5102, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9779, tc_fun(_u9780, tc_HOL_Obool)), _u9781), hAPP(hAPP(c_COMBB(tc_fun(_u9780, tc_HOL_Obool), tc_fun(_u9780, tc_HOL_Obool), _u9779), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9780, tc_HOL_Obool)), _u9782)), _u9783)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9780, tc_HOL_Obool)), _u9782), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9779, tc_fun(_u9780, tc_HOL_Obool)), _u9781), _u9783))) )).
% 19.53/19.77 cnf(matrix-5103, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9784, tc_fun(_u9785, tc_HOL_Obool)), _u9786), hAPP(hAPP(c_COMBC(_u9784, tc_fun(_u9785, tc_HOL_Obool), tc_fun(_u9785, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9785, tc_HOL_Obool), tc_fun(tc_fun(_u9785, tc_HOL_Obool), tc_fun(_u9785, tc_HOL_Obool)), _u9784), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9785, tc_HOL_Obool))), _u9787)), _u9788)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9785, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9784, tc_fun(_u9785, tc_HOL_Obool)), _u9786), _u9787)), _u9788)) )).
% 19.53/19.77 cnf(matrix-5104, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9789, tc_HOL_Obool)), _u9790), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9791, tc_fun(_u9789, tc_HOL_Obool)), _u9792), _u9793)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9791, tc_fun(_u9789, tc_HOL_Obool)), _u9792), hAPP(hAPP(c_COMBB(tc_fun(_u9789, tc_HOL_Obool), tc_fun(_u9789, tc_HOL_Obool), _u9791), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9789, tc_HOL_Obool)), _u9790)), _u9793))) )).
% 19.53/19.77 cnf(matrix-5105, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9794, tc_HOL_Obool)), _u9795), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9796, tc_fun(_u9794, tc_HOL_Obool)), _u9797), _u9798)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9796, tc_fun(_u9794, tc_HOL_Obool)), _u9797), hAPP(hAPP(c_COMBB(tc_fun(_u9794, tc_HOL_Obool), tc_fun(_u9794, tc_HOL_Obool), _u9796), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9794, tc_HOL_Obool)), _u9795)), _u9798))) )).
% 19.53/19.77 cnf(matrix-5106, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9799, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9800, tc_fun(_u9799, tc_HOL_Obool)), _u9801), _u9802)), _u9803) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9800, tc_fun(_u9799, tc_HOL_Obool)), _u9801), hAPP(hAPP(c_COMBC(_u9800, tc_fun(_u9799, tc_HOL_Obool), tc_fun(_u9799, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9799, tc_HOL_Obool), tc_fun(tc_fun(_u9799, tc_HOL_Obool), tc_fun(_u9799, tc_HOL_Obool)), _u9800), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9799, tc_HOL_Obool))), _u9802)), _u9803))) )).
% 19.53/19.77 cnf(matrix-5107, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9804, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9805, tc_fun(_u9804, tc_HOL_Obool)), _u9806), _u9807)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9808, tc_fun(_u9804, tc_HOL_Obool)), _u9809), _u9810)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9805, tc_fun(_u9804, tc_HOL_Obool)), _u9806), hAPP(hAPP(c_COMBB(tc_fun(_u9808, tc_fun(_u9804, tc_HOL_Obool)), tc_fun(_u9804, tc_HOL_Obool), _u9805), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9808, tc_fun(_u9804, tc_HOL_Obool)), _u9809)), hAPP(hAPP(c_COMBC(_u9805, tc_fun(_u9808, tc_fun(_u9804, tc_HOL_Obool)), tc_fun(_u9808, tc_fun(_u9804, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u9804, tc_HOL_Obool), tc_fun(_u9804, tc_HOL_Obool)), tc_fun(tc_fun(_u9808, tc_fun(_u9804, tc_HOL_Obool)), tc_fun(_u9808, tc_fun(_u9804, tc_HOL_Obool))), _u9805), c_COMBB(tc_fun(_u9804, tc_HOL_Obool), tc_fun(_u9804, tc_HOL_Obool), _u9808)), hAPP(hAPP(c_COMBB(tc_fun(_u9804, tc_HOL_Obool), tc_fun(tc_fun(_u9804, tc_HOL_Obool), tc_fun(_u9804, tc_HOL_Obool)), _u9805), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9804, tc_HOL_Obool))), _u9807))), _u9810)))) )).
% 19.53/19.77 cnf(matrix-5108, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9818, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9820, tc_fun(_u9818, tc_HOL_Obool)), _u9822), _u9824)), _u9826)) | ~hBOOL(hAPP(hAPP(c_member(_u9820), _u9811), _u9822)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9818, tc_HOL_Obool)), hAPP(_u9824, _u9811)), _u9826)) )).
% 19.53/19.77 cnf(matrix-5109, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9819, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9821, tc_fun(_u9819, tc_HOL_Obool)), _u9823), _u9825)), _u9827)) | hBOOL(hAPP(hAPP(c_member(_u9821), skolem221(_u9827, _u9825, _u9823, _u9821, _u9819)), _u9823)) )).
% 19.53/19.77 cnf(matrix-5110, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9819, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9821, tc_fun(_u9819, tc_HOL_Obool)), _u9823), _u9825)), _u9827)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9819, tc_HOL_Obool)), hAPP(_u9825, skolem221(_u9827, _u9825, _u9823, _u9821, _u9819))), _u9827)) )).
% 19.53/19.77 cnf(matrix-5111, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u9828, tc_HOL_Obool), _u9829) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u9828, tc_HOL_Obool), tc_fun(_u9828, tc_HOL_Obool)), _u9829), c_COMBI(tc_fun(_u9828, tc_HOL_Obool)))) )).
% 19.53/19.77 cnf(matrix-5112, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9836, tc_fun(_u9838, tc_fun(_u9840, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u9836, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u9838, _u9840), tc_HOL_Obool), tc_fun(_u9838, tc_fun(_u9840, tc_HOL_Obool)), _u9836), hAPP(c_COMBC(_u9838, tc_fun(tc_prod(_u9838, _u9840), tc_HOL_Obool), tc_fun(_u9840, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9840, tc_fun(tc_fun(tc_prod(_u9838, _u9840), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9838, _u9840), tc_HOL_Obool), tc_fun(_u9840, tc_HOL_Obool)), _u9838), c_COMBC(_u9840, tc_fun(tc_prod(_u9838, _u9840), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9840, tc_prod(_u9838, _u9840)), tc_fun(_u9840, tc_fun(tc_fun(tc_prod(_u9838, _u9840), tc_HOL_Obool), tc_HOL_Obool)), _u9838), hAPP(c_COMBB(tc_prod(_u9838, _u9840), tc_fun(tc_fun(tc_prod(_u9838, _u9840), tc_HOL_Obool), tc_HOL_Obool), _u9840), c_member(tc_prod(_u9838, _u9840)))), c_Product__Type_OPair(_u9838, _u9840))))), _u9842)), _u9844), _u9846)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u9838, _u9840)), hAPP(hAPP(c_Product__Type_OPair(_u9838, _u9840), _u9844), _u9846)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9836, tc_fun(tc_prod(_u9838, _u9840), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9836, tc_HOL_Obool))), _u9842))) )).
% 19.53/19.77 cnf(matrix-5113, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u9839, _u9841)), hAPP(hAPP(c_Product__Type_OPair(_u9839, _u9841), _u9845), _u9847)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9837, tc_fun(tc_prod(_u9839, _u9841), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9837, tc_HOL_Obool))), _u9843))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9837, tc_fun(_u9839, tc_fun(_u9841, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u9837, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u9839, _u9841), tc_HOL_Obool), tc_fun(_u9839, tc_fun(_u9841, tc_HOL_Obool)), _u9837), hAPP(c_COMBC(_u9839, tc_fun(tc_prod(_u9839, _u9841), tc_HOL_Obool), tc_fun(_u9841, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9841, tc_fun(tc_fun(tc_prod(_u9839, _u9841), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u9839, _u9841), tc_HOL_Obool), tc_fun(_u9841, tc_HOL_Obool)), _u9839), c_COMBC(_u9841, tc_fun(tc_prod(_u9839, _u9841), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9841, tc_prod(_u9839, _u9841)), tc_fun(_u9841, tc_fun(tc_fun(tc_prod(_u9839, _u9841), tc_HOL_Obool), tc_HOL_Obool)), _u9839), hAPP(c_COMBB(tc_prod(_u9839, _u9841), tc_fun(tc_fun(tc_prod(_u9839, _u9841), tc_HOL_Obool), tc_HOL_Obool), _u9841), c_member(tc_prod(_u9839, _u9841)))), c_Product__Type_OPair(_u9839, _u9841))))), _u9843)), _u9845), _u9847)) )).
% 19.53/19.77 cnf(matrix-5114, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9850) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9850), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9851, _u9850), _u9852), _u9853)), _u9854)) | ~hBOOL(hAPP(hAPP(c_member(_u9851), _u9848), _u9852)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9850), hAPP(_u9853, _u9848)), _u9854)) )).
% 19.53/19.77 cnf(matrix-5115, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9850) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9850), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9851, _u9850), _u9852), _u9853)), _u9854)) | hBOOL(hAPP(hAPP(c_member(_u9851), skolem222(_u9854, _u9853, _u9852, _u9851, _u9850)), _u9852)) )).
% 19.53/19.77 cnf(matrix-5116, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9850) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9850), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9851, _u9850), _u9852), _u9853)), _u9854)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9850), hAPP(_u9853, skolem222(_u9854, _u9853, _u9852, _u9851, _u9850))), _u9854)) )).
% 19.53/19.77 cnf(matrix-5117, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9857) | ~class_Orderings_Olinorder(_u9857) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9857), _u9858), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9859, _u9857), _u9860), _u9861))) | hBOOL(hAPP(hAPP(c_member(_u9859), skolem223(_u9861, _u9860, _u9859, _u9858, _u9857)), _u9860)) )).
% 19.53/19.77 cnf(matrix-5118, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9857) | ~class_Orderings_Olinorder(_u9857) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9857), _u9858), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9859, _u9857), _u9860), _u9861))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9857), _u9858), hAPP(_u9861, skolem223(_u9861, _u9860, _u9859, _u9858, _u9857)))) )).
% 19.53/19.77 cnf(matrix-5119, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9857) | ~class_Orderings_Olinorder(_u9857) | ~hBOOL(hAPP(hAPP(c_member(_u9859), _u9856), _u9860)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9857), _u9858), hAPP(_u9861, _u9856))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9857), _u9858), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9859, _u9857), _u9860), _u9861))) )).
% 19.53/19.77 cnf(matrix-5120, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u9862) | ( _u9863 = c_Orderings_Obot__class_Obot(tc_fun(_u9864, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9864, _u9862), _u9863), hAPP(c_COMBK(_u9862, _u9864), _u9865)) = _u9865) )).
% 19.53/19.77 cnf(matrix-5121, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9866), _u9867), _u9868)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9866, tc_fun(_u9869, tc_HOL_Obool)), _u9868), hAPP(hAPP(c_COMBB(tc_fun(_u9869, tc_HOL_Obool), tc_fun(_u9869, tc_HOL_Obool), _u9866), hAPP(c_Set_Oinsert(_u9869), _u9870)), _u9871)) = hAPP(hAPP(c_Set_Oinsert(_u9869), _u9870), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9866, tc_fun(_u9869, tc_HOL_Obool)), _u9868), _u9871))) )).
% 19.53/19.77 cnf(matrix-5122, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9872), _u9873), _u9874)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9875, tc_HOL_Obool)), hAPP(_u9876, _u9873)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9872, tc_fun(_u9875, tc_HOL_Obool)), _u9874), _u9876))) )).
% 19.53/19.77 cnf(matrix-5123, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9881, tc_fun(_u9883, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9881, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9883, tc_HOL_Obool), tc_fun(_u9883, tc_HOL_Obool), _u9881), hAPP(c_COMBC(_u9883, tc_fun(_u9883, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9883))), _u9885)), _u9887)) | hBOOL(hAPP(hAPP(c_member(_u9883), _u9887), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9881, tc_fun(_u9883, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9881, tc_HOL_Obool))), _u9885))) )).
% 19.53/19.77 cnf(matrix-5124, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9884), _u9888), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9882, tc_fun(_u9884, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9882, tc_HOL_Obool))), _u9886))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9882, tc_fun(_u9884, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u9882, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9884, tc_HOL_Obool), tc_fun(_u9884, tc_HOL_Obool), _u9882), hAPP(c_COMBC(_u9884, tc_fun(_u9884, tc_HOL_Obool), tc_HOL_Obool), c_member(_u9884))), _u9886)), _u9888)) )).
% 19.53/19.77 cnf(matrix-5125, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9889), _u9890), _u9891)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9892, tc_HOL_Obool)), hAPP(_u9893, _u9890)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9889, tc_fun(_u9892, tc_HOL_Obool)), _u9891), _u9893)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9889, tc_fun(_u9892, tc_HOL_Obool)), _u9891), _u9893)) )).
% 19.53/19.77 cnf(matrix-5126, plain, ( ( _u9899 != c_Orderings_Obot__class_Obot(tc_fun(_u9901, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9901, tc_fun(_u9903, tc_HOL_Obool)), _u9899), hAPP(hAPP(c_COMBB(tc_fun(_u9903, tc_HOL_Obool), tc_fun(_u9903, tc_HOL_Obool), _u9901), hAPP(c_Set_Oinsert(_u9903), _u9905)), _u9907)) = c_Orderings_Obot__class_Obot(tc_fun(_u9903, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5127, plain, ( ( _u9900 = c_Orderings_Obot__class_Obot(tc_fun(_u9902, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9902, tc_fun(_u9904, tc_HOL_Obool)), _u9900), hAPP(hAPP(c_COMBB(tc_fun(_u9904, tc_HOL_Obool), tc_fun(_u9904, tc_HOL_Obool), _u9902), hAPP(c_Set_Oinsert(_u9904), _u9906)), _u9908)) = hAPP(hAPP(c_Set_Oinsert(_u9904), _u9906), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9902, tc_fun(_u9904, tc_HOL_Obool)), _u9900), _u9908))) )).
% 19.53/19.77 cnf(matrix-5128, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9909, tc_fun(_u9909, tc_HOL_Obool)), _u9910), hAPP(hAPP(c_COMBC(_u9909, tc_fun(_u9909, tc_HOL_Obool), tc_fun(_u9909, tc_HOL_Obool)), c_Set_Oinsert(_u9909)), c_Orderings_Obot__class_Obot(tc_fun(_u9909, tc_HOL_Obool)))) = _u9910) )).
% 19.53/19.77 cnf(matrix-5129, plain, ( ( _u9916 != c_Orderings_Obot__class_Obot(tc_fun(_u9918, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u9920), _u9922), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9918, tc_fun(_u9920, tc_HOL_Obool)), _u9916), _u9924)) = hAPP(hAPP(c_Set_Oinsert(_u9920), _u9922), c_Orderings_Obot__class_Obot(tc_fun(_u9920, tc_HOL_Obool)))) )).
% 19.53/19.77 cnf(matrix-5130, plain, ( ( _u9917 = c_Orderings_Obot__class_Obot(tc_fun(_u9919, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u9921), _u9923), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9919, tc_fun(_u9921, tc_HOL_Obool)), _u9917), _u9925)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9919, tc_fun(_u9921, tc_HOL_Obool)), _u9917), hAPP(hAPP(c_COMBB(tc_fun(_u9921, tc_HOL_Obool), tc_fun(_u9921, tc_HOL_Obool), _u9919), hAPP(c_Set_Oinsert(_u9921), _u9923)), _u9925))) )).
% 19.53/19.77 cnf(matrix-5131, plain, ( ( _u9931 != c_Orderings_Obot__class_Obot(tc_fun(_u9933, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9933, tc_fun(_u9935, tc_HOL_Obool)), _u9931), hAPP(hAPP(c_COMBB(tc_fun(_u9935, tc_HOL_Obool), tc_fun(_u9935, tc_HOL_Obool), _u9933), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9935, tc_HOL_Obool)), _u9937)), _u9939)) = c_Orderings_Obot__class_Obot(tc_fun(_u9935, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5132, plain, ( ( _u9932 = c_Orderings_Obot__class_Obot(tc_fun(_u9934, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9934, tc_fun(_u9936, tc_HOL_Obool)), _u9932), hAPP(hAPP(c_COMBB(tc_fun(_u9936, tc_HOL_Obool), tc_fun(_u9936, tc_HOL_Obool), _u9934), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9936, tc_HOL_Obool)), _u9938)), _u9940)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9936, tc_HOL_Obool)), _u9938), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9934, tc_fun(_u9936, tc_HOL_Obool)), _u9932), _u9940))) )).
% 19.53/19.77 cnf(matrix-5133, plain, ( ( _u9946 != c_Orderings_Obot__class_Obot(tc_fun(_u9948, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9948, tc_fun(_u9950, tc_HOL_Obool)), _u9946), hAPP(hAPP(c_COMBC(_u9948, tc_fun(_u9950, tc_HOL_Obool), tc_fun(_u9950, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9950, tc_HOL_Obool), tc_fun(tc_fun(_u9950, tc_HOL_Obool), tc_fun(_u9950, tc_HOL_Obool)), _u9948), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9950, tc_HOL_Obool))), _u9952)), _u9954)) = c_Orderings_Obot__class_Obot(tc_fun(_u9950, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5134, plain, ( ( _u9947 = c_Orderings_Obot__class_Obot(tc_fun(_u9949, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9949, tc_fun(_u9951, tc_HOL_Obool)), _u9947), hAPP(hAPP(c_COMBC(_u9949, tc_fun(_u9951, tc_HOL_Obool), tc_fun(_u9951, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9951, tc_HOL_Obool), tc_fun(tc_fun(_u9951, tc_HOL_Obool), tc_fun(_u9951, tc_HOL_Obool)), _u9949), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9951, tc_HOL_Obool))), _u9953)), _u9955)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9951, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9949, tc_fun(_u9951, tc_HOL_Obool)), _u9947), _u9953)), _u9955)) )).
% 19.53/19.77 cnf(matrix-5135, plain, ( ( _u9961 != c_Orderings_Obot__class_Obot(tc_fun(_u9963, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9965, tc_HOL_Obool)), _u9967), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9963, tc_fun(_u9965, tc_HOL_Obool)), _u9961), _u9969)) = _u9967) )).
% 19.53/19.77 cnf(matrix-5136, plain, ( ( _u9962 = c_Orderings_Obot__class_Obot(tc_fun(_u9964, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9966, tc_HOL_Obool)), _u9968), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9964, tc_fun(_u9966, tc_HOL_Obool)), _u9962), _u9970)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9964, tc_fun(_u9966, tc_HOL_Obool)), _u9962), hAPP(hAPP(c_COMBB(tc_fun(_u9966, tc_HOL_Obool), tc_fun(_u9966, tc_HOL_Obool), _u9964), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9966, tc_HOL_Obool)), _u9968)), _u9970))) )).
% 19.53/19.77 cnf(matrix-5137, plain, ( ( _u9976 != c_Orderings_Obot__class_Obot(tc_fun(_u9978, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9980, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9978, tc_fun(_u9980, tc_HOL_Obool)), _u9976), _u9982)), _u9984) = _u9984) )).
% 19.53/19.77 cnf(matrix-5138, plain, ( ( _u9977 = c_Orderings_Obot__class_Obot(tc_fun(_u9979, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9981, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9979, tc_fun(_u9981, tc_HOL_Obool)), _u9977), _u9983)), _u9985) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9979, tc_fun(_u9981, tc_HOL_Obool)), _u9977), hAPP(hAPP(c_COMBC(_u9979, tc_fun(_u9981, tc_HOL_Obool), tc_fun(_u9981, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9981, tc_HOL_Obool), tc_fun(tc_fun(_u9981, tc_HOL_Obool), tc_fun(_u9981, tc_HOL_Obool)), _u9979), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9981, tc_HOL_Obool))), _u9983)), _u9985))) )).
% 19.53/19.77 cnf(matrix-5139, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9986, tc_fun(_u9987, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u9986), _u9988), _u9989)), _u9990) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9987, tc_HOL_Obool)), hAPP(_u9990, _u9988)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9986, tc_fun(_u9987, tc_HOL_Obool)), _u9989), _u9990))) )).
% 19.53/19.77 cnf(matrix-5140, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9991, tc_fun(_u9992, tc_HOL_Obool)), _u9993), hAPP(hAPP(c_COMBB(tc_fun(_u9992, tc_HOL_Obool), tc_fun(_u9992, tc_HOL_Obool), _u9991), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9992, tc_HOL_Obool)), _u9994)), _u9995)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9992, tc_HOL_Obool)), _u9994), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9991, tc_fun(_u9992, tc_HOL_Obool)), _u9993), _u9995))) )).
% 19.53/19.77 cnf(matrix-5141, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9996, tc_HOL_Obool)), _u9997), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u9998, tc_fun(_u9996, tc_HOL_Obool)), _u9999), _u10000)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9998, tc_fun(_u9996, tc_HOL_Obool)), _u9999), hAPP(hAPP(c_COMBB(tc_fun(_u9996, tc_HOL_Obool), tc_fun(_u9996, tc_HOL_Obool), _u9998), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9996, tc_HOL_Obool)), _u9997)), _u10000))) )).
% 19.53/19.77 cnf(matrix-5142, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10001, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10001, tc_HOL_Obool), _u10002)), _u10003) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u10001, tc_HOL_Obool), tc_fun(_u10001, tc_HOL_Obool)), _u10002), hAPP(hAPP(c_COMBC(tc_fun(_u10001, tc_HOL_Obool), tc_fun(_u10001, tc_HOL_Obool), tc_fun(_u10001, tc_HOL_Obool)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10001, tc_HOL_Obool))), _u10003))) )).
% 19.53/19.77 cnf(matrix-5143, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10004, tc_HOL_Obool)), _u10005), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10004, tc_HOL_Obool), _u10006)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u10004, tc_HOL_Obool), tc_fun(_u10004, tc_HOL_Obool)), _u10006), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10004, tc_HOL_Obool)), _u10005))) )).
% 19.53/19.77 cnf(matrix-5144, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u10007, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10008, tc_fun(_u10007, tc_HOL_Obool)), _u10009), _u10010)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10008, tc_fun(_u10007, tc_HOL_Obool)), _u10009), hAPP(hAPP(c_COMBB(tc_fun(_u10007, tc_HOL_Obool), tc_fun(_u10007, tc_HOL_Obool), _u10008), c_Groups_Ouminus__class_Ouminus(tc_fun(_u10007, tc_HOL_Obool))), _u10010))) )).
% 19.53/19.77 cnf(matrix-5145, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u10011, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10012, tc_fun(_u10011, tc_HOL_Obool)), _u10013), _u10014)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10012, tc_fun(_u10011, tc_HOL_Obool)), _u10013), hAPP(hAPP(c_COMBB(tc_fun(_u10011, tc_HOL_Obool), tc_fun(_u10011, tc_HOL_Obool), _u10012), c_Groups_Ouminus__class_Ouminus(tc_fun(_u10011, tc_HOL_Obool))), _u10014))) )).
% 19.53/19.77 cnf(matrix-5146, plain, ( ( c_FunDef_Orp__inv__image(_u10015, _u10016) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(_u10015, _u10015), tc_HOL_Obool), tc_fun(tc_prod(_u10015, _u10015), tc_HOL_Obool), tc_fun(tc_fun(_u10016, _u10015), tc_prod(tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool), tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(tc_fun(tc_prod(_u10015, _u10015), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u10015, _u10015), tc_HOL_Obool), tc_fun(tc_fun(_u10016, _u10015), tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u10015, _u10015), tc_HOL_Obool), tc_fun(tc_fun(_u10016, _u10015), tc_prod(tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool), tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(_u10016, _u10015), tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool)), tc_fun(tc_fun(_u10016, _u10015), tc_prod(tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool), tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(tc_prod(_u10015, _u10015), tc_HOL_Obool), tc_fun(tc_fun(_u10016, _u10015), tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u10015, _u10015), tc_HOL_Obool), tc_fun(tc_fun(_u10016, _u10015), tc_prod(tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool), tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool))))), tc_fun(tc_prod(_u10015, _u10015), tc_HOL_Obool)), c_COMBB(tc_fun(tc_fun(_u10016, _u10015), tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool)), tc_fun(tc_fun(_u10016, _u10015), tc_prod(tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool), tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool))), tc_fun(tc_prod(_u10015, _u10015), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u10016, _u10015), tc_fun(tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool), tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(_u10016, _u10015), tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool)), tc_fun(tc_fun(_u10016, _u10015), tc_prod(tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool), tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool)))), tc_fun(tc_prod(_u10015, _u10015), tc_HOL_Obool)), c_COMBS(tc_fun(_u10016, _u10015), tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool), tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool)))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u10016, _u10015), tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool)), tc_fun(tc_fun(_u10016, _u10015), tc_fun(tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool), tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool)))), tc_fun(tc_prod(_u10015, _u10015), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool), tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool))), tc_fun(_u10016, _u10015)), c_Product__Type_OPair(tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool), tc_fun(tc_prod(_u10016, _u10016), tc_HOL_Obool)))), c_Relation_Oinv__image(_u10015, _u10016))))), c_Relation_Oinv__image(_u10015, _u10016)))) )).
% 19.53/19.77 cnf(matrix-5147, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5148, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10017) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10018, tc_HOL_Obool)), _u10019), _u10020)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10017), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10018, _u10017), _u10019), _u10021)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10018, _u10017), _u10020), _u10021))) )).
% 19.53/19.77 cnf(matrix-5149, plain, ( ( _u10027 != c_Orderings_Obot__class_Obot(tc_fun(_u10029, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10031, tc_HOL_Obool)), _u10033), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10029, tc_fun(_u10031, tc_HOL_Obool)), _u10027), _u10035)) = _u10033) )).
% 19.53/19.77 cnf(matrix-5150, plain, ( ( _u10028 = c_Orderings_Obot__class_Obot(tc_fun(_u10030, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10032, tc_HOL_Obool)), _u10034), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10030, tc_fun(_u10032, tc_HOL_Obool)), _u10028), _u10036)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10030, tc_fun(_u10032, tc_HOL_Obool)), _u10028), hAPP(hAPP(c_COMBB(tc_fun(_u10032, tc_HOL_Obool), tc_fun(_u10032, tc_HOL_Obool), _u10030), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10032, tc_HOL_Obool)), _u10034)), _u10036))) )).
% 19.53/19.77 cnf(matrix-5151, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10037) | ~hBOOL(hAPP(hAPP(c_member(_u10038), _u10039), _u10040)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10037), hAPP(_u10041, _u10039)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10038, _u10037), _u10040), _u10041))) )).
% 19.53/19.77 cnf(matrix-5152, plain, ( ( _u10047 != c_Orderings_Obot__class_Obot(tc_fun(_u10049, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10049, tc_fun(_u10051, tc_HOL_Obool)), _u10047), hAPP(hAPP(c_COMBB(tc_fun(_u10051, tc_HOL_Obool), tc_fun(_u10051, tc_HOL_Obool), _u10049), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10051, tc_HOL_Obool)), _u10053)), _u10055)) = c_Orderings_Otop__class_Otop(tc_fun(_u10051, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5153, plain, ( ( _u10048 = c_Orderings_Obot__class_Obot(tc_fun(_u10050, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10050, tc_fun(_u10052, tc_HOL_Obool)), _u10048), hAPP(hAPP(c_COMBB(tc_fun(_u10052, tc_HOL_Obool), tc_fun(_u10052, tc_HOL_Obool), _u10050), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10052, tc_HOL_Obool)), _u10054)), _u10056)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10052, tc_HOL_Obool)), _u10054), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10050, tc_fun(_u10052, tc_HOL_Obool)), _u10048), _u10056))) )).
% 19.53/19.77 cnf(matrix-5154, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u10057) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10058), _u10059)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u10057), _u10060), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10058, _u10057), _u10059), _u10061)) = hAPP(hAPP(c_Finite__Set_Ofold(_u10058, _u10057, hAPP(hAPP(c_COMBB(_u10057, tc_fun(_u10057, _u10057), _u10058), c_Lattices_Osemilattice__sup__class_Osup(_u10057)), _u10061)), _u10060), _u10059)) )).
% 19.53/19.77 cnf(matrix-5155, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u10074, _u10074)), hAPP(hAPP(c_Product__Type_OPair(_u10074, _u10074), hAPP(_u10078, _u10070)), hAPP(_u10078, _u10072))), _u10076)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10068, _u10068)), hAPP(hAPP(c_Product__Type_OPair(_u10068, _u10068), _u10070), _u10072)), hAPP(hAPP(c_Relation_Oinv__image(_u10074, _u10068), _u10076), _u10078))) )).
% 19.53/19.77 cnf(matrix-5156, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10075, _u10075)), hAPP(hAPP(c_Product__Type_OPair(_u10075, _u10075), hAPP(_u10079, _u10071)), hAPP(_u10079, _u10073))), _u10077)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10069, _u10069)), hAPP(hAPP(c_Product__Type_OPair(_u10069, _u10069), _u10071), _u10073)), hAPP(hAPP(c_Relation_Oinv__image(_u10075, _u10069), _u10077), _u10079))) )).
% 19.53/19.77 cnf(matrix-5157, plain, ( ( hAPP(c_Int_Onat, _u10080) = c_Set_Othe__elem(tc_Nat_Onat, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_Int_ORep__Integ, _u10080)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool))), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool))), tc_Nat_Onat), c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool))), tc_Nat_Onat), hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_Set_Oinsert(tc_Nat_Onat))), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))))) )).
% 19.53/19.77 cnf(matrix-5158, plain, ( ~class_Orderings_Olinorder(_u10081) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10081), _u10082), _u10083)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10081, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10081), _u10082)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10081, _u10082, _u10083)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u10081), _u10083)) )).
% 19.53/19.77 cnf(matrix-5159, plain, ( ~class_Fields_Ofield(_u10084) | ( _u10085 = c_Groups_Oone__class_Oone(_u10084)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10084), hAPP(c_Power_Opower__class_Opower(_u10084), _u10085)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10086)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10084), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10084), hAPP(hAPP(c_Power_Opower__class_Opower(_u10084), _u10085), _u10086)), c_Groups_Oone__class_Oone(_u10084))), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10084), _u10085), c_Groups_Oone__class_Oone(_u10084)))) )).
% 19.53/19.77 cnf(matrix-5160, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10087))) )).
% 19.53/19.77 cnf(matrix-5161, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10088), _u10089))) )).
% 19.53/19.77 cnf(matrix-5162, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10103), _u10092), _u10105)) | ~hBOOL(hAPP(hAPP(c_member(_u10101), _u10091), hAPP(_u10107, _u10092))) | hBOOL(hAPP(_u10109, _u10091)) | hBOOL(hAPP(hAPP(c_member(_u10101), skolem224(_u10109, _u10107, _u10105, _u10103, _u10101)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10103, tc_fun(_u10101, tc_HOL_Obool)), _u10105), _u10107))) )).
% 19.53/19.77 cnf(matrix-5163, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10103), _u10092), _u10105)) | ~hBOOL(hAPP(hAPP(c_member(_u10101), _u10091), hAPP(_u10107, _u10092))) | hBOOL(hAPP(_u10109, _u10091)) | ~hBOOL(hAPP(_u10109, skolem224(_u10109, _u10107, _u10105, _u10103, _u10101))) )).
% 19.53/19.77 cnf(matrix-5164, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10102), _u10095), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10104, tc_fun(_u10102, tc_HOL_Obool)), _u10106), _u10108))) | hBOOL(hAPP(_u10110, _u10095)) | hBOOL(hAPP(hAPP(c_member(_u10104), skolem225(_u10110, _u10108, _u10106, _u10104, _u10102)), _u10106)) )).
% 19.53/19.77 cnf(matrix-5165, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10102), _u10095), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10104, tc_fun(_u10102, tc_HOL_Obool)), _u10106), _u10108))) | hBOOL(hAPP(_u10110, _u10095)) | hBOOL(hAPP(hAPP(c_member(_u10102), skolem226(_u10110, _u10108, _u10106, _u10104, _u10102)), hAPP(_u10108, skolem225(_u10110, _u10108, _u10106, _u10104, _u10102)))) )).
% 19.53/19.77 cnf(matrix-5166, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10102), _u10095), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10104, tc_fun(_u10102, tc_HOL_Obool)), _u10106), _u10108))) | hBOOL(hAPP(_u10110, _u10095)) | ~hBOOL(hAPP(_u10110, skolem226(_u10110, _u10108, _u10106, _u10104, _u10102))) )).
% 19.53/19.77 cnf(matrix-5167, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10118, tc_fun(_u10120, tc_HOL_Obool)), _u10122), _u10124), _u10126)) | hBOOL(hAPP(hAPP(c_member(_u10118), skolem227(_u10126, _u10124, _u10122, _u10120, _u10118)), _u10122)) )).
% 19.53/19.77 cnf(matrix-5168, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10118, tc_fun(_u10120, tc_HOL_Obool)), _u10122), _u10124), _u10126)) | hBOOL(hAPP(hAPP(_u10124, skolem227(_u10126, _u10124, _u10122, _u10120, _u10118)), _u10126)) )).
% 19.53/19.77 cnf(matrix-5169, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10119), _u10112), _u10123)) | ~hBOOL(hAPP(hAPP(_u10125, _u10112), _u10127)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10119, tc_fun(_u10121, tc_HOL_Obool)), _u10123), _u10125), _u10127)) )).
% 19.53/19.77 cnf(matrix-5170, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10137, tc_fun(_u10139, tc_fun(_u10141, tc_HOL_Obool))), _u10143), _u10145), _u10147), _u10149)) | hBOOL(hAPP(hAPP(c_member(_u10137), skolem228(_u10149, _u10147, _u10145, _u10143, _u10141, _u10139, _u10137)), _u10143)) )).
% 19.53/19.77 cnf(matrix-5171, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10137, tc_fun(_u10139, tc_fun(_u10141, tc_HOL_Obool))), _u10143), _u10145), _u10147), _u10149)) | hBOOL(hAPP(hAPP(hAPP(_u10145, skolem228(_u10149, _u10147, _u10145, _u10143, _u10141, _u10139, _u10137)), _u10147), _u10149)) )).
% 19.53/19.77 cnf(matrix-5172, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10138), _u10129), _u10144)) | ~hBOOL(hAPP(hAPP(hAPP(_u10146, _u10129), _u10148), _u10150)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10138, tc_fun(_u10140, tc_fun(_u10142, tc_HOL_Obool))), _u10144), _u10146), _u10148), _u10150)) )).
% 19.53/19.77 cnf(matrix-5173, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10151, tc_fun(_u10152, tc_HOL_Obool)), _u10153), hAPP(hAPP(c_COMBC(_u10151, tc_fun(_u10154, tc_fun(_u10152, tc_HOL_Obool)), tc_fun(_u10152, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10154, tc_HOL_Obool), tc_fun(tc_fun(_u10154, tc_fun(_u10152, tc_HOL_Obool)), tc_fun(_u10152, tc_HOL_Obool)), _u10151), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10154, tc_fun(_u10152, tc_HOL_Obool))), _u10155)), _u10156)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10154, tc_fun(_u10152, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10151, tc_fun(_u10154, tc_HOL_Obool)), _u10153), _u10155)), _u10156)) )).
% 19.53/19.77 cnf(matrix-5174, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10157, tc_fun(_u10158, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10159, tc_fun(_u10157, tc_HOL_Obool)), _u10160), _u10161)), _u10162) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10159, tc_fun(_u10158, tc_HOL_Obool)), _u10160), hAPP(hAPP(c_COMBC(_u10159, tc_fun(_u10157, tc_fun(_u10158, tc_HOL_Obool)), tc_fun(_u10158, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10157, tc_HOL_Obool), tc_fun(tc_fun(_u10157, tc_fun(_u10158, tc_HOL_Obool)), tc_fun(_u10158, tc_HOL_Obool)), _u10159), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10157, tc_fun(_u10158, tc_HOL_Obool))), _u10161)), _u10162))) )).
% 19.53/19.77 cnf(matrix-5175, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10163, tc_fun(_u10164, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10165, tc_fun(_u10163, tc_HOL_Obool)), _u10166), _u10167)), _u10168) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10165, tc_fun(_u10164, tc_HOL_Obool)), _u10166), hAPP(hAPP(c_COMBC(_u10165, tc_fun(_u10163, tc_fun(_u10164, tc_HOL_Obool)), tc_fun(_u10164, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10163, tc_HOL_Obool), tc_fun(tc_fun(_u10163, tc_fun(_u10164, tc_HOL_Obool)), tc_fun(_u10164, tc_HOL_Obool)), _u10165), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10163, tc_fun(_u10164, tc_HOL_Obool))), _u10167)), _u10168))) )).
% 19.53/19.77 cnf(matrix-5176, plain, ( ( hAPP(c_Int_ORep__Integ, _u10171) != hAPP(c_Int_ORep__Integ, _u10173)) | ( _u10171 = _u10173) )).
% 19.53/19.77 cnf(matrix-5177, plain, ( ( _u10172 != _u10174) | ( hAPP(c_Int_ORep__Integ, _u10172) = hAPP(c_Int_ORep__Integ, _u10174)) )).
% 19.53/19.77 cnf(matrix-5178, plain, ( ~class_Orderings_Olinorder(_u10175) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10175), _u10176), _u10177)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10175), _u10178), _u10179)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10175, _u10176), _u10177) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10175, _u10178), _u10179)) | ( _u10176 = _u10178) )).
% 19.53/19.77 cnf(matrix-5179, plain, ( ~class_Orderings_Olinorder(_u10175) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10175), _u10176), _u10177)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10175), _u10178), _u10179)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10175, _u10176), _u10177) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10175, _u10178), _u10179)) | ( _u10177 = _u10179) )).
% 19.53/19.77 cnf(matrix-5180, plain, ( ~class_Orderings_Olinorder(_u10175) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10175), _u10176), _u10177)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10175), _u10178), _u10179)) | ( _u10176 != _u10178) | ( _u10177 != _u10179) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10175, _u10176), _u10177) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10175, _u10178), _u10179)) )).
% 19.53/19.77 cnf(matrix-5181, plain, ( ~class_Orderings_Olinorder(_u10180) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10180, _u10181), _u10182) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10180, _u10183), _u10184)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10180), _u10181), _u10182)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10180), _u10183), _u10184)) | ( _u10181 = _u10183) )).
% 19.53/19.77 cnf(matrix-5182, plain, ( ~class_Orderings_Olinorder(_u10185) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10185, _u10186), _u10187) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10185, _u10188), _u10189)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10185), _u10186), _u10187)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10185), _u10188), _u10189)) | ( _u10187 = _u10189) )).
% 19.53/19.77 cnf(matrix-5183, plain, ( ~class_Orderings_Olinorder(_u10190) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u10190), _u10191) != hAPP(c_SetInterval_Oord__class_OatMost(_u10190), _u10192)) | ( _u10191 = _u10192) )).
% 19.53/19.77 cnf(matrix-5184, plain, ( ~class_Orderings_Olinorder(_u10190) | ( _u10191 != _u10192) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u10190), _u10191) = hAPP(c_SetInterval_Oord__class_OatMost(_u10190), _u10192)) )).
% 19.53/19.77 cnf(matrix-5185, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10193), _u10199)) | ~hBOOL(hAPP(_u10201, _u10193)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem229(_u10201, _u10199)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10199))) )).
% 19.53/19.77 cnf(matrix-5186, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10193), _u10199)) | ~hBOOL(hAPP(_u10201, _u10193)) | hBOOL(hAPP(_u10201, skolem229(_u10201, _u10199))) )).
% 19.53/19.77 cnf(matrix-5187, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10195), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10200))) | ~hBOOL(hAPP(_u10202, _u10195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem230(_u10202, _u10200)), _u10200)) )).
% 19.53/19.77 cnf(matrix-5188, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10195), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10200))) | ~hBOOL(hAPP(_u10202, _u10195)) | hBOOL(hAPP(_u10202, skolem230(_u10202, _u10200))) )).
% 19.53/19.77 cnf(matrix-5189, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10204), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10209))) | hBOOL(hAPP(_u10211, _u10204)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem231(_u10211, _u10209)), _u10209)) )).
% 19.53/19.77 cnf(matrix-5190, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10204), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10209))) | hBOOL(hAPP(_u10211, _u10204)) | ~hBOOL(hAPP(_u10211, skolem231(_u10211, _u10209))) )).
% 19.53/19.77 cnf(matrix-5191, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10206), _u10210)) | hBOOL(hAPP(_u10212, _u10206)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem232(_u10212, _u10210)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10210))) )).
% 19.53/19.77 cnf(matrix-5192, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10206), _u10210)) | hBOOL(hAPP(_u10212, _u10206)) | ~hBOOL(hAPP(_u10212, skolem232(_u10212, _u10210))) )).
% 19.53/19.77 cnf(matrix-5193, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10213), _u10214)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10213), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10214), _u10215)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10213), _u10214)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10214), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10214), _u10215)))) )).
% 19.53/19.77 cnf(matrix-5194, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OatMost(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5195, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10216), hAPP(c_Nat_OSuc, _u10217)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10216, _u10217)) )).
% 19.53/19.77 cnf(matrix-5196, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10218), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5197, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10219) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u10219)) )).
% 19.53/19.77 cnf(matrix-5198, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u10220), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10221), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10221), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u10220))))) | ( _u10220 = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10221), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10221), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u10220)))) )).
% 19.53/19.77 cnf(matrix-5199, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10222), _u10223)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10223), _u10222)) )).
% 19.53/19.77 cnf(matrix-5200, plain, ( ~class_Orderings_Oorder(_u10224) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10224), _u10225), _u10226)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10224, _u10226), _u10225) = c_Orderings_Obot__class_Obot(tc_fun(_u10224, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5201, plain, ( ~class_Orderings_Oorder(_u10227) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10227, _u10228), _u10229) != c_Orderings_Obot__class_Obot(tc_fun(_u10227, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10227), _u10228), _u10229)) )).
% 19.53/19.77 cnf(matrix-5202, plain, ( ~class_Orderings_Oorder(_u10227) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10227), _u10228), _u10229)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10227, _u10228), _u10229) = c_Orderings_Obot__class_Obot(tc_fun(_u10227, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5203, plain, ( ~class_Orderings_Oorder(_u10230) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10230, tc_HOL_Obool)) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10230, _u10231), _u10232)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10230), _u10231), _u10232)) )).
% 19.53/19.77 cnf(matrix-5204, plain, ( ~class_Orderings_Oorder(_u10230) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10230), _u10231), _u10232)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10230, tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10230, _u10231), _u10232)) )).
% 19.53/19.77 cnf(matrix-5205, plain, ( ~class_Orderings_Olinorder(_u10233) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10233, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10233, _u10234), _u10235)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10233, _u10236), _u10237))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10233), _u10235), _u10234)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10233), _u10236), _u10234)) )).
% 19.53/19.77 cnf(matrix-5206, plain, ( ~class_Orderings_Olinorder(_u10233) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10233, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10233, _u10234), _u10235)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10233, _u10236), _u10237))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10233), _u10235), _u10234)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10233), _u10235), _u10237)) )).
% 19.53/19.77 cnf(matrix-5207, plain, ( ~class_Groups_Ocomm__monoid__add(_u10238) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10238), _u10239), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10240)), hAPP(c_Nat_OSuc, _u10241))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10238), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10238, tc_Nat_Onat), _u10239), c_Nat_OSuc)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10240), _u10241))) )).
% 19.53/19.77 cnf(matrix-5208, plain, ( ~class_Orderings_Olinorder(_u10242) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10242), _u10243), _u10244)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10242), _u10244), _u10245)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10242, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10242, _u10243), _u10244)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10242, _u10244), _u10245)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10242, _u10243), _u10245)) )).
% 19.53/19.77 cnf(matrix-5209, plain, ( ~class_Groups_Ocomm__monoid__add(_u10246) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10246), _u10247), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10248), _u10249)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10250), _u10249))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10246), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10246, tc_Nat_Onat), _u10247), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u10249))), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10248), _u10250))) )).
% 19.53/19.77 cnf(matrix-5210, plain, ( ~class_Orderings_Olinorder(_u10251) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10251), _u10252), _u10253)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10251, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10251, _u10252), _u10254)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10251, _u10252), _u10253)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10251, _u10253), _u10254)) )).
% 19.53/19.77 cnf(matrix-5211, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10255, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_fun(_u10255, tc_HOL_Obool)), tc_fun(_u10255, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_fun(_u10255, tc_HOL_Obool)), tc_fun(_u10255, tc_HOL_Obool)), tc_Nat_Onat), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10255, tc_HOL_Obool))), c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), _u10256)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10255, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u10256)) )).
% 19.53/19.77 cnf(matrix-5212, plain, ( ~class_Orderings_Oorder(_u10257) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10257, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10257, _u10258), _u10259)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10257, _u10259), _u10260)) = c_Orderings_Obot__class_Obot(tc_fun(_u10257, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5213, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10261)), _u10262) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u10261, _u10262)) )).
% 19.53/19.77 cnf(matrix-5214, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u10263) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10263)) )).
% 19.53/19.77 cnf(matrix-5215, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10264)) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10264)) )).
% 19.53/19.77 cnf(matrix-5216, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10265)) = hAPP(c_Nat_OSuc, _u10265)) )).
% 19.53/19.77 cnf(matrix-5217, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10266)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10266)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10266))) )).
% 19.53/19.77 cnf(matrix-5218, plain, ( ~class_Orderings_Oord(_u10267) | ~hBOOL(hAPP(hAPP(c_member(_u10267), _u10268), hAPP(c_SetInterval_Oord__class_OatMost(_u10267), _u10269))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10267), _u10268), _u10269)) )).
% 19.53/19.77 cnf(matrix-5219, plain, ( ~class_Orderings_Oord(_u10267) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10267), _u10268), _u10269)) | hBOOL(hAPP(hAPP(c_member(_u10267), _u10268), hAPP(c_SetInterval_Oord__class_OatMost(_u10267), _u10269))) )).
% 19.53/19.77 cnf(matrix-5220, plain, ( ~class_Orderings_Oorder(_u10270) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10270, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10270), _u10271)), hAPP(c_SetInterval_Oord__class_OatMost(_u10270), _u10272))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10270), _u10271), _u10272)) )).
% 19.53/19.77 cnf(matrix-5221, plain, ( ~class_Orderings_Oorder(_u10270) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10270), _u10271), _u10272)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10270, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10270), _u10271)), hAPP(c_SetInterval_Oord__class_OatMost(_u10270), _u10272))) )).
% 19.53/19.77 cnf(matrix-5222, plain, ( ~class_Groups_Ocomm__monoid__add(_u10273) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10274), _u10275)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10275), _u10276)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10273), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10273), _u10277), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10274), _u10275))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10273), _u10277), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10275), _u10276))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10273), _u10277), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10274), _u10276))) )).
% 19.53/19.77 cnf(matrix-5223, plain, ( ~class_Groups_Oab__group__add(_u10278) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10279), _u10280)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10280), _u10281)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10278), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10278), _u10282), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10279), _u10281))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10278), _u10282), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10279), _u10280))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10278), _u10282), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10280), _u10281))) )).
% 19.53/19.77 cnf(matrix-5224, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10283, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10284)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u10283, tc_HOL_Obool), tc_Nat_Onat), _u10285), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u10286))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10283, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10286, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10284), _u10286))), _u10285)) )).
% 19.53/19.77 cnf(matrix-5225, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10287), hAPP(c_Nat_OSuc, _u10287)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u10287), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 19.53/19.77 cnf(matrix-5226, plain, ( ~class_Orderings_Olinorder(_u10288) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10288), _u10289), _u10290)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10288), _u10290), _u10291)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10288, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10288, _u10289), _u10290)), c_SetInterval_Oord__class_OatLeastAtMost(_u10288, _u10290, _u10291)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10288, _u10289, _u10291)) )).
% 19.53/19.77 cnf(matrix-5227, plain, ( ~class_Orderings_Oorder(_u10292) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10292, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10292, _u10293), _u10294)), c_SetInterval_Oord__class_OatLeastAtMost(_u10292, _u10294, _u10295)) = c_Orderings_Obot__class_Obot(tc_fun(_u10292, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5228, plain, ( ~class_Orderings_Olinorder(_u10296) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10296, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10296, _u10297), _u10298)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10296, _u10299), _u10300)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10296, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10296), _u10297), _u10299)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10296), _u10298), _u10300))) )).
% 19.53/19.77 cnf(matrix-5229, plain, ( ~class_Orderings_Olinorder(_u10301) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10301), _u10302), _u10303)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10301, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u10301), _u10302)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10301, _u10302), _u10303)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u10301), _u10303)) )).
% 19.53/19.77 cnf(matrix-5230, plain, ( ~class_Orderings_Oorder(_u10304) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10304, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u10304), _u10305)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10304, _u10305), _u10306)) = c_Orderings_Obot__class_Obot(tc_fun(_u10304, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5231, plain, ( ~class_Orderings_Oorder(_u10307) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10307, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10307, _u10308, _u10309)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10307, _u10309), _u10310)) = c_Orderings_Obot__class_Obot(tc_fun(_u10307, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5232, plain, ( ~class_Groups_Ocomm__monoid__add(_u10311) | ( hAPP(_u10312, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(_u10311)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10311), _u10312), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u10313)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10311), _u10312), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10313))) )).
% 19.53/19.77 cnf(matrix-5233, plain, ( ~class_Groups_Ocomm__monoid__add(_u10314) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10315), _u10316)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10314), _u10317), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10315), _u10316)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10314), hAPP(_u10317, _u10315)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10314), _u10317), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10315)), _u10316)))) )).
% 19.53/19.77 cnf(matrix-5234, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10320), _u10322)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10320), hAPP(c_Nat_OSuc, _u10322)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u10322), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10320), _u10322))) )).
% 19.53/19.77 cnf(matrix-5235, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u10321), _u10323)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10321), hAPP(c_Nat_OSuc, _u10323)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5236, plain, ( ~class_Groups_Ocomm__monoid__add(_u10324) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10324), _u10325), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10326))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10324), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10324), _u10325), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10326))), hAPP(_u10325, hAPP(c_Nat_OSuc, _u10326)))) )).
% 19.53/19.77 cnf(matrix-5237, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 19.53/19.77 cnf(matrix-5238, plain, ( ~class_Orderings_Olinorder(_u10327) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10327, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10327), _u10328)), c_SetInterval_Oord__class_OatLeastAtMost(_u10327, _u10329, _u10330)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10327, _u10329, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10327), _u10328), _u10330))) )).
% 19.53/19.77 cnf(matrix-5239, plain, ( ~class_Orderings_Olinorder(_u10331) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10331, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10331, _u10332, _u10333)), hAPP(c_SetInterval_Oord__class_OatMost(_u10331), _u10334)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10331, _u10332, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10331), _u10333), _u10334))) )).
% 19.53/19.77 cnf(matrix-5240, plain, ( ~class_Orderings_Olinorder(_u10335) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10335), _u10336), _u10337)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10335, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10335), _u10336)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10335, _u10336, _u10337)) = hAPP(c_SetInterval_Oord__class_OatMost(_u10335), _u10337)) )).
% 19.53/19.77 cnf(matrix-5241, plain, ( ~class_Orderings_Oorder(_u10338) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10338, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10338), _u10339)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10338, _u10339, _u10340)) = c_Orderings_Obot__class_Obot(tc_fun(_u10338, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5242, plain, ( ~class_Orderings_Oorder(_u10341) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10341, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10341), _u10342)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10341, _u10342, _u10343)) = c_Orderings_Obot__class_Obot(tc_fun(_u10341, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5243, plain, ( ~class_Groups_Ocomm__monoid__add(_u10344) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10345), _u10346)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10344), _u10347), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10346), hAPP(c_Nat_OSuc, _u10345))) = c_Groups_Ozero__class_Ozero(_u10344)) )).
% 19.53/19.77 cnf(matrix-5244, plain, ( ~class_Groups_Ocomm__monoid__add(_u10344) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10345), _u10346)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10344), _u10347), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10346), hAPP(c_Nat_OSuc, _u10345))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10344), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10344), _u10347), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10346), _u10345))), hAPP(_u10347, _u10345))) )).
% 19.53/19.77 cnf(matrix-5245, plain, ( ~class_Orderings_Olinorder(_u10348) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10348), _u10349), _u10350)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10348), _u10350), _u10351)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10348, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10348, _u10349, _u10350)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10348, _u10350), _u10351)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u10348, _u10349, _u10351)) )).
% 19.53/19.77 cnf(matrix-5246, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10352, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10353)), _u10354) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10352, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10352, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u10353)), _u10354)), hAPP(_u10354, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 19.53/19.77 cnf(matrix-5247, plain, ( ( c_Wellfounded_Omeasure(_u10355) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat, _u10355), c_Wellfounded_Oless__than)) )).
% 19.53/19.77 cnf(matrix-5248, plain, ( ~class_Orderings_Olinorder(_u10356) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10356), _u10357), _u10358)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10356, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10356, _u10357), _u10358)), hAPP(hAPP(c_Set_Oinsert(_u10356), _u10358), c_Orderings_Obot__class_Obot(tc_fun(_u10356, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(_u10356, _u10357, _u10358)) )).
% 19.53/19.77 cnf(matrix-5249, plain, ( ~class_Orderings_Olinorder(_u10359) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10359, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u10359), _u10360)), hAPP(hAPP(c_Set_Oinsert(_u10359), _u10360), c_Orderings_Obot__class_Obot(tc_fun(_u10359, tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(_u10359), _u10360)) )).
% 19.53/19.77 cnf(matrix-5250, plain, ( ~class_Orderings_Olinorder(_u10361) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10361), _u10362), _u10363)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10361, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u10361), _u10362), c_Orderings_Obot__class_Obot(tc_fun(_u10361, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10361, _u10362, _u10363)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10361, _u10362), _u10363)) )).
% 19.53/19.77 cnf(matrix-5251, plain, ( ~class_Orderings_Olinorder(_u10364) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10364), _u10365), _u10366)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10364, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u10364), _u10365)), c_SetInterval_Oord__class_OatLeastAtMost(_u10364, _u10365, _u10366)) = hAPP(c_SetInterval_Oord__class_OatMost(_u10364), _u10366)) )).
% 19.53/19.77 cnf(matrix-5252, plain, ( ~class_Orderings_Olinorder(_u10367) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10367), _u10368), _u10369)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10367), _u10369), _u10370)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10367, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10367, _u10368, _u10369)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10367, _u10369, _u10370)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10367, _u10368), _u10370)) )).
% 19.53/19.77 cnf(matrix-5253, plain, ( ~c_Relation_Oirrefl(_u10375, _u10377) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10375, _u10375)), hAPP(hAPP(c_Product__Type_OPair(_u10375, _u10375), _u10371), _u10371)), _u10377)) )).
% 19.53/19.77 cnf(matrix-5254, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u10376, _u10376)), hAPP(hAPP(c_Product__Type_OPair(_u10376, _u10376), skolem233(_u10378, _u10376)), skolem233(_u10378, _u10376))), _u10378)) | c_Relation_Oirrefl(_u10376, _u10378) )).
% 19.53/19.77 cnf(matrix-5255, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10380, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10380, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem234(_u10383, _u10382, _u10381, _u10380))), _u10381)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10380, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem234(_u10383, _u10382, _u10381, _u10380)), _u10382))), _u10383))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10380, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10380, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u10381)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10380, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u10383))) )).
% 19.53/19.77 cnf(matrix-5256, plain, ( ( hAPP(c_Relation_OField(_u10384), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u10384, _u10384)), hAPP(hAPP(c_Product__Type_OPair(_u10384, _u10384), _u10385), _u10386)), _u10387)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10384, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u10384), _u10385), hAPP(hAPP(c_Set_Oinsert(_u10384), _u10386), c_Orderings_Obot__class_Obot(tc_fun(_u10384, tc_HOL_Obool))))), hAPP(c_Relation_OField(_u10384), _u10387))) )).
% 19.53/19.77 cnf(matrix-5257, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10389, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem235(_u10392, _u10391, _u10390, _u10389))), _u10390) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10389, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem235(_u10392, _u10391, _u10390, _u10389)), _u10391))), _u10392)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10389, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u10390) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10389, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u10392)) )).
% 19.53/19.77 cnf(matrix-5258, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u10393), _u10394))) )).
% 19.53/19.77 cnf(matrix-5259, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10395))) )).
% 19.53/19.77 cnf(matrix-5260, plain, ( ( hAPP(c_Relation_OField(_u10396), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u10396, _u10396), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u10396, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5261, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u10397, _u10397), tc_HOL_Obool)), _u10398), _u10399)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10397, tc_HOL_Obool)), hAPP(c_Relation_OField(_u10397), _u10398)), hAPP(c_Relation_OField(_u10397), _u10399))) )).
% 19.53/19.77 cnf(matrix-5262, plain, ( ( hAPP(c_Relation_OField(_u10400), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u10400, _u10400), tc_HOL_Obool)), _u10401), _u10402)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10400, tc_HOL_Obool)), hAPP(c_Relation_OField(_u10400), _u10401)), hAPP(c_Relation_OField(_u10400), _u10402))) )).
% 19.53/19.77 cnf(matrix-5263, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u10403, _u10403)), _u10404)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10403), hAPP(c_Relation_OField(_u10403), _u10404))) )).
% 19.53/19.77 cnf(matrix-5264, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u10405), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10406), c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u10405, _u10406)) )).
% 19.53/19.77 cnf(matrix-5265, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10407)) = hAPP(c_Int_Onat, _u10407)) )).
% 19.53/19.77 cnf(matrix-5266, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u10408), _u10409)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10409), _u10408))) )).
% 19.53/19.77 cnf(matrix-5267, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10410), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10411) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u10410, _u10411)) )).
% 19.53/19.77 cnf(matrix-5268, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10413, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10413, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem236(_u10415, _u10414, _u10413))), _u10414)), _u10415)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10413, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u10413, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u10414)), _u10415)) )).
% 19.53/19.77 cnf(matrix-5269, plain, ( ( c_Relation_OId__on(_u10416, _u10417) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10416, tc_fun(tc_prod(_u10416, _u10416), tc_HOL_Obool)), _u10417), hAPP(hAPP(c_COMBC(_u10416, tc_fun(tc_prod(_u10416, _u10416), tc_HOL_Obool), tc_fun(tc_prod(_u10416, _u10416), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_prod(_u10416, _u10416), tc_fun(tc_fun(tc_prod(_u10416, _u10416), tc_HOL_Obool), tc_fun(tc_prod(_u10416, _u10416), tc_HOL_Obool)), _u10416), c_Set_Oinsert(tc_prod(_u10416, _u10416))), hAPP(hAPP(c_COMBS(_u10416, _u10416, tc_prod(_u10416, _u10416)), c_Product__Type_OPair(_u10416, _u10416)), c_COMBI(_u10416)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u10416, _u10416), tc_HOL_Obool))))) )).
% 19.53/19.77 cnf(matrix-5270, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10421), _u10423)) | ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)), _u10421)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10425), _u10423)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10425), _u10421)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10423), _u10421))) )).
% 19.53/19.77 cnf(matrix-5271, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10422), _u10424)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10426), _u10424)) | ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)), _u10422)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10426), _u10424)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 19.53/19.77 cnf(matrix-5272, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10422), _u10424)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10426), _u10424)) | ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)), _u10422)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10426), _u10424)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5273, plain, ( ( _u10427 != hAPP(_u10428, _u10429)) | ~hBOOL(hAPP(hAPP(c_member(_u10430), _u10429), _u10431)) | hBOOL(hAPP(hAPP(c_member(_u10432), _u10427), hAPP(c_Set_Oimage(_u10430, _u10432, _u10428), _u10431))) )).
% 19.53/19.77 cnf(matrix-5274, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10433), _u10434)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10435), hAPP(c_Set_Oimage(_u10433, _u10435, _u10436), _u10434))) )).
% 19.53/19.77 cnf(matrix-5275, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10437, tc_fun(_u10438, tc_HOL_Obool)), _u10439), hAPP(hAPP(c_COMBB(_u10440, tc_fun(_u10438, tc_HOL_Obool), _u10437), _u10441), _u10442)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10440, tc_fun(_u10438, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10437, _u10440, _u10442), _u10439)), _u10441)) )).
% 19.53/19.77 cnf(matrix-5276, plain, ( ( hAPP(c_Set_Oimage(_u10443, _u10444, _u10445), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10446, tc_fun(_u10443, tc_HOL_Obool)), _u10447), _u10448)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10446, tc_fun(_u10444, tc_HOL_Obool)), _u10447), hAPP(hAPP(c_COMBB(tc_fun(_u10443, tc_HOL_Obool), tc_fun(_u10444, tc_HOL_Obool), _u10446), c_Set_Oimage(_u10443, _u10444, _u10445)), _u10448))) )).
% 19.53/19.77 cnf(matrix-5277, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10449, tc_fun(_u10450, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10451, _u10449, _u10452), _u10453)), _u10454) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10451, tc_fun(_u10450, tc_HOL_Obool)), _u10453), hAPP(hAPP(c_COMBB(_u10449, tc_fun(_u10450, tc_HOL_Obool), _u10451), _u10454), _u10452))) )).
% 19.53/19.77 cnf(matrix-5278, plain, ( ( hAPP(c_Set_Oimage(_u10455, _u10456, _u10457), hAPP(hAPP(c_Set_Oinsert(_u10455), _u10458), _u10459)) = hAPP(hAPP(c_Set_Oinsert(_u10456), hAPP(_u10457, _u10458)), hAPP(c_Set_Oimage(_u10455, _u10456, _u10457), _u10459))) )).
% 19.53/19.77 cnf(matrix-5279, plain, ( ( hAPP(c_Set_Oimage(_u10460, _u10461, _u10462), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10460, tc_HOL_Obool)), _u10463), _u10464)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10461, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10460, _u10461, _u10462), _u10463)), hAPP(c_Set_Oimage(_u10460, _u10461, _u10462), _u10464))) )).
% 19.53/19.77 cnf(matrix-5280, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10465, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10466, _u10465, _u10467), _u10468)), _u10469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u10465, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_fun(_u10466, tc_HOL_Obool), tc_fun(_u10465, tc_HOL_Obool), c_Set_Oimage(_u10466, _u10465, _u10467)), hAPP(c_Set_OPow(_u10466), _u10468))), hAPP(c_Set_OPow(_u10465), _u10469))) )).
% 19.53/19.77 cnf(matrix-5281, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10470, tc_HOL_Obool)), _u10471), _u10472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10473, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10470, _u10473, _u10474), _u10471)), hAPP(c_Set_Oimage(_u10470, _u10473, _u10474), _u10472))) )).
% 19.53/19.77 cnf(matrix-5282, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10482, tc_HOL_Obool)), _u10484), hAPP(c_Set_Oimage(_u10486, _u10482, _u10488), _u10490))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10486, tc_HOL_Obool)), skolem237(_u10490, _u10488, _u10486, _u10484, _u10482)), _u10490)) )).
% 19.53/19.77 cnf(matrix-5283, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10482, tc_HOL_Obool)), _u10484), hAPP(c_Set_Oimage(_u10486, _u10482, _u10488), _u10490))) | ( _u10484 = hAPP(c_Set_Oimage(_u10486, _u10482, _u10488), skolem237(_u10490, _u10488, _u10486, _u10484, _u10482))) )).
% 19.53/19.77 cnf(matrix-5284, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10487, tc_HOL_Obool)), _u10476), _u10491)) | ( _u10485 != hAPP(c_Set_Oimage(_u10487, _u10483, _u10489), _u10476)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10483, tc_HOL_Obool)), _u10485), hAPP(c_Set_Oimage(_u10487, _u10483, _u10489), _u10491))) )).
% 19.53/19.77 cnf(matrix-5285, plain, ( ( hAPP(c_Set_Oimage(_u10492, _u10493, hAPP(hAPP(c_COMBB(_u10494, _u10493, _u10492), _u10495), _u10496)), c_Orderings_Otop__class_Otop(tc_fun(_u10492, tc_HOL_Obool))) = hAPP(c_Set_Oimage(_u10494, _u10493, _u10495), hAPP(c_Set_Oimage(_u10492, _u10494, _u10496), c_Orderings_Otop__class_Otop(tc_fun(_u10492, tc_HOL_Obool))))) )).
% 19.53/19.77 cnf(matrix-5286, plain, ( ( hAPP(c_Set_Oimage(_u10497, _u10498, _u10499), hAPP(c_Set_Oimage(_u10500, _u10497, _u10501), _u10502)) = hAPP(c_Set_Oimage(_u10500, _u10498, hAPP(hAPP(c_COMBB(_u10497, _u10498, _u10500), _u10499), _u10501)), _u10502)) )).
% 19.53/19.77 cnf(matrix-5287, plain, ( ( hAPP(c_Set_Oimage(_u10503, _u10504, _u10505), _u10506) != _u10507) | ( hAPP(c_Set_Oimage(tc_fun(_u10503, tc_HOL_Obool), tc_fun(_u10504, tc_HOL_Obool), c_Set_Oimage(_u10503, _u10504, _u10505)), hAPP(c_Set_OPow(_u10503), _u10506)) = hAPP(c_Set_OPow(_u10504), _u10507)) )).
% 19.53/19.77 cnf(matrix-5288, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10508, tc_fun(_u10509, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10510, _u10508, _u10511), _u10512)), _u10513) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10510, tc_fun(_u10509, tc_HOL_Obool)), _u10512), hAPP(hAPP(c_COMBB(_u10508, tc_fun(_u10509, tc_HOL_Obool), _u10510), _u10513), _u10511))) )).
% 19.53/19.77 cnf(matrix-5289, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10514, tc_fun(_u10515, tc_HOL_Obool)), _u10516), hAPP(hAPP(c_COMBB(_u10517, tc_fun(_u10515, tc_HOL_Obool), _u10514), _u10518), _u10519)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10517, tc_fun(_u10515, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10514, _u10517, _u10519), _u10516)), _u10518)) )).
% 19.53/19.77 cnf(matrix-5290, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10520), _u10521), _u10522)) | ( _u10523 != hAPP(_u10524, _u10521)) | hBOOL(hAPP(hAPP(c_member(_u10525), _u10523), hAPP(c_Set_Oimage(_u10520, _u10525, _u10524), _u10522))) )).
% 19.53/19.77 cnf(matrix-5291, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10526), _u10527), _u10528)) | hBOOL(hAPP(hAPP(c_member(_u10529), hAPP(_u10530, _u10527)), hAPP(c_Set_Oimage(_u10526, _u10529, _u10530), _u10528))) )).
% 19.53/19.77 cnf(matrix-5292, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10538), _u10540), hAPP(c_Set_Oimage(_u10542, _u10538, _u10544), _u10546))) | hBOOL(hAPP(hAPP(c_member(_u10542), skolem238(_u10546, _u10544, _u10542, _u10540)), _u10546)) )).
% 19.53/19.77 cnf(matrix-5293, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10538), _u10540), hAPP(c_Set_Oimage(_u10542, _u10538, _u10544), _u10546))) | ( _u10540 = hAPP(_u10544, skolem238(_u10546, _u10544, _u10542, _u10540))) )).
% 19.53/19.77 cnf(matrix-5294, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10543), _u10532), _u10547)) | ( _u10541 != hAPP(_u10545, _u10532)) | hBOOL(hAPP(hAPP(c_member(_u10539), _u10541), hAPP(c_Set_Oimage(_u10543, _u10539, _u10545), _u10547))) )).
% 19.53/19.77 cnf(matrix-5295, plain, ( ( _u10558 = c_Orderings_Obot__class_Obot(tc_fun(_u10554, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10552, tc_HOL_Obool)) != hAPP(c_Set_Oimage(_u10554, _u10552, _u10556), _u10558)) )).
% 19.53/19.77 cnf(matrix-5296, plain, ( ( _u10559 != c_Orderings_Obot__class_Obot(tc_fun(_u10555, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u10553, tc_HOL_Obool)) = hAPP(c_Set_Oimage(_u10555, _u10553, _u10557), _u10559)) )).
% 19.53/19.77 cnf(matrix-5297, plain, ( ( hAPP(c_Set_Oimage(_u10560, _u10561, _u10562), c_Orderings_Obot__class_Obot(tc_fun(_u10560, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u10561, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5298, plain, ( ( hAPP(c_Set_Oimage(_u10567, _u10569, _u10571), _u10573) != c_Orderings_Obot__class_Obot(tc_fun(_u10569, tc_HOL_Obool))) | ( _u10573 = c_Orderings_Obot__class_Obot(tc_fun(_u10567, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5299, plain, ( ( _u10574 != c_Orderings_Obot__class_Obot(tc_fun(_u10568, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u10568, _u10570, _u10572), _u10574) = c_Orderings_Obot__class_Obot(tc_fun(_u10570, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5300, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10575), _u10576), _u10577)) | ( hAPP(hAPP(c_Set_Oinsert(_u10578), hAPP(_u10579, _u10576)), hAPP(c_Set_Oimage(_u10575, _u10578, _u10579), _u10577)) = hAPP(c_Set_Oimage(_u10575, _u10578, _u10579), _u10577)) )).
% 19.53/19.77 cnf(matrix-5301, plain, ( hBOOL(hAPP(hAPP(c_member(_u10580), hAPP(_u10581, _u10582)), hAPP(c_Set_Oimage(_u10583, _u10580, _u10581), c_Orderings_Otop__class_Otop(tc_fun(_u10583, tc_HOL_Obool))))) )).
% 19.53/19.77 cnf(matrix-5302, plain, ( ( _u10584 != hAPP(_u10585, _u10586)) | hBOOL(hAPP(hAPP(c_member(_u10587), _u10584), hAPP(c_Set_Oimage(_u10588, _u10587, _u10585), c_Orderings_Otop__class_Otop(tc_fun(_u10588, tc_HOL_Obool))))) )).
% 19.53/19.77 cnf(matrix-5303, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10589), _u10590)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10591, tc_HOL_Obool)), _u10592), hAPP(c_Set_Oimage(_u10589, _u10591, _u10593), _u10590))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10591), _u10592)) )).
% 19.53/19.77 cnf(matrix-5304, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10594, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10595, _u10594, _u10596), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10595, tc_HOL_Obool)), _u10597), _u10598))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10594, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10595, _u10594, _u10596), _u10597)), hAPP(c_Set_Oimage(_u10595, _u10594, _u10596), _u10598)))) )).
% 19.53/19.77 cnf(matrix-5305, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10599, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10599, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10600, _u10599, _u10601), _u10602)), hAPP(c_Set_Oimage(_u10600, _u10599, _u10601), _u10603))), hAPP(c_Set_Oimage(_u10600, _u10599, _u10601), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10600, tc_HOL_Obool)), _u10602), _u10603)))) )).
% 19.53/19.77 cnf(matrix-5306, plain, ( ~class_Groups_Oordered__ab__group__add(_u10604) | ( hAPP(c_Set_Oimage(_u10604, _u10604, c_Groups_Ouminus__class_Ouminus(_u10604)), c_SetInterval_Oord__class_OatLeastAtMost(_u10604, _u10605, _u10606)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10604, hAPP(c_Groups_Ouminus__class_Ouminus(_u10604), _u10606), hAPP(c_Groups_Ouminus__class_Ouminus(_u10604), _u10605))) )).
% 19.53/19.77 cnf(matrix-5307, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10607), _u10608)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10607)), hAPP(c_Nat_OSuc, _u10608))) )).
% 19.53/19.77 cnf(matrix-5308, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10609, _u10610)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u10609), hAPP(c_Nat_OSuc, _u10610))) )).
% 19.53/19.77 cnf(matrix-5309, plain, ( ~class_Groups_Oordered__ab__group__add(_u10611) | ( hAPP(c_Set_Oimage(_u10611, _u10611, c_Groups_Ouminus__class_Ouminus(_u10611)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u10611, _u10612, _u10613)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u10611, hAPP(c_Groups_Ouminus__class_Ouminus(_u10611), _u10613), hAPP(c_Groups_Ouminus__class_Ouminus(_u10611), _u10612))) )).
% 19.53/19.77 cnf(matrix-5310, plain, ( ( _u10618 != c_Orderings_Obot__class_Obot(tc_fun(_u10620, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u10620, _u10622, hAPP(c_COMBK(_u10622, _u10620), _u10624)), _u10618) = c_Orderings_Obot__class_Obot(tc_fun(_u10622, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5311, plain, ( ( _u10619 = c_Orderings_Obot__class_Obot(tc_fun(_u10621, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u10621, _u10623, hAPP(c_COMBK(_u10623, _u10621), _u10625)), _u10619) = hAPP(hAPP(c_Set_Oinsert(_u10623), _u10625), c_Orderings_Obot__class_Obot(tc_fun(_u10623, tc_HOL_Obool)))) )).
% 19.53/19.77 cnf(matrix-5312, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10626), hAPP(c_Set_Oimage(_u10627, _u10626, _u10628), c_Orderings_Otop__class_Otop(tc_fun(_u10627, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u10629), hAPP(c_Set_Oimage(_u10627, _u10629, hAPP(hAPP(c_COMBB(_u10626, _u10629, _u10627), _u10630), _u10628)), c_Orderings_Otop__class_Otop(tc_fun(_u10627, tc_HOL_Obool))))) )).
% 19.53/19.77 cnf(matrix-5313, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u10631)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u10632), _u10633)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10632), _u10631)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10633), _u10631))) )).
% 19.53/19.77 cnf(matrix-5314, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u10634)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10635, _u10636)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10635), _u10634), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10636), _u10634))) )).
% 19.53/19.77 cnf(matrix-5315, plain, ( ( c_Relation_OId__on(_u10637, _u10638) = hAPP(c_Product__Type_Oprod_Oprod__case(_u10637, _u10637, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u10637, tc_HOL_Obool, tc_fun(_u10637, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10637, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_HOL_Obool, tc_fun(_u10637, tc_HOL_Obool)), _u10637), c_COMBC(_u10637, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10637, tc_HOL_Obool), tc_fun(_u10637, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u10637), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10637), c_fconj)), c_fequal))), _u10638))) )).
% 19.53/19.77 cnf(matrix-5316, plain, ( ( hAPP(c_Set_Oimage(_u10639, _u10640, _u10641), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10639, tc_HOL_Obool), _u10642)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u10639, tc_HOL_Obool), tc_fun(_u10640, tc_HOL_Obool)), _u10642), c_Set_Oimage(_u10639, _u10640, _u10641))) )).
% 19.53/19.77 cnf(matrix-5317, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10643), _u10644)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u10645), hAPP(c_Set_Oimage(_u10643, _u10645, _u10646), _u10644))), hAPP(c_Finite__Set_Ocard(_u10643), _u10644))) )).
% 19.53/19.77 cnf(matrix-5318, plain, ( ~class_Groups_Oordered__ab__group__add(_u10647) | ( hAPP(c_Set_Oimage(_u10647, _u10647, c_Groups_Ouminus__class_Ouminus(_u10647)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10647, _u10648), _u10649)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u10647, hAPP(c_Groups_Ouminus__class_Ouminus(_u10647), _u10649), hAPP(c_Groups_Ouminus__class_Ouminus(_u10647), _u10648))) )).
% 19.53/19.77 cnf(matrix-5319, plain, ( ~class_Groups_Oordered__ab__group__add(_u10650) | ( hAPP(c_Set_Oimage(_u10650, _u10650, c_Groups_Ouminus__class_Ouminus(_u10650)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10650, _u10651, _u10652)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10650, hAPP(c_Groups_Ouminus__class_Ouminus(_u10650), _u10652)), hAPP(c_Groups_Ouminus__class_Ouminus(_u10650), _u10651))) )).
% 19.53/19.77 cnf(matrix-5320, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10653), _u10654), _u10655)) | ( hAPP(c_Set_Oimage(_u10653, _u10656, hAPP(c_COMBK(_u10656, _u10653), _u10657)), _u10655) = hAPP(hAPP(c_Set_Oinsert(_u10656), _u10657), c_Orderings_Obot__class_Obot(tc_fun(_u10656, tc_HOL_Obool)))) )).
% 19.53/19.77 cnf(matrix-5321, plain, ( ( hAPP(c_Set_Oimage(_u10658, _u10659, _u10660), _u10661) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10658, tc_fun(_u10659, tc_HOL_Obool)), _u10661), hAPP(hAPP(c_COMBC(_u10658, tc_fun(_u10659, tc_HOL_Obool), tc_fun(_u10659, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u10659, tc_fun(tc_fun(_u10659, tc_HOL_Obool), tc_fun(_u10659, tc_HOL_Obool)), _u10658), c_Set_Oinsert(_u10659)), _u10660)), c_Orderings_Obot__class_Obot(tc_fun(_u10659, tc_HOL_Obool))))) )).
% 19.53/19.77 cnf(matrix-5322, plain, ( ( c_Relation_OId__on(_u10662, c_Orderings_Obot__class_Obot(tc_fun(_u10662, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u10662, _u10662), tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5323, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10663), _u10664)) | ( hAPP(c_Set_Oimage(_u10663, _u10665, _u10666), _u10664) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(_u10665, tc_HOL_Obool), _u10663, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10665, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u10663, tc_fun(_u10665, tc_HOL_Obool), tc_fun(_u10665, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u10665, tc_fun(tc_fun(_u10665, tc_HOL_Obool), tc_fun(_u10665, tc_HOL_Obool)), _u10663), c_Set_Oinsert(_u10665)), _u10666)), c_Orderings_Obot__class_Obot(tc_fun(_u10665, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(_u10665, tc_HOL_Obool))), _u10664)) )).
% 19.53/19.77 cnf(matrix-5324, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10667)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u10667)))) )).
% 19.53/19.77 cnf(matrix-5325, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10672, _u10672)), hAPP(hAPP(c_Product__Type_OPair(_u10672, _u10672), _u10674), _u10676)), c_Relation_OId__on(_u10672, _u10678))) | ( _u10674 = _u10676) )).
% 19.53/19.77 cnf(matrix-5326, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10672, _u10672)), hAPP(hAPP(c_Product__Type_OPair(_u10672, _u10672), _u10674), _u10676)), c_Relation_OId__on(_u10672, _u10678))) | hBOOL(hAPP(hAPP(c_member(_u10672), _u10674), _u10678)) )).
% 19.53/19.77 cnf(matrix-5327, plain, ( ( _u10675 != _u10677) | ~hBOOL(hAPP(hAPP(c_member(_u10673), _u10675), _u10679)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10673, _u10673)), hAPP(hAPP(c_Product__Type_OPair(_u10673, _u10673), _u10675), _u10677)), c_Relation_OId__on(_u10673, _u10679))) )).
% 19.53/19.77 cnf(matrix-5328, plain, ( ( _u10680 != _u10681) | ~hBOOL(hAPP(hAPP(c_member(_u10682), _u10680), _u10683)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10682, _u10682)), hAPP(hAPP(c_Product__Type_OPair(_u10682, _u10682), _u10680), _u10681)), c_Relation_OId__on(_u10682, _u10683))) )).
% 19.53/19.77 cnf(matrix-5329, plain, ( ~class_Groups_Olinordered__ab__group__add(_u10684) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10684), _u10685)) | ( _u10685 = c_Orderings_Obot__class_Obot(tc_fun(_u10684, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u10684), c_Big__Operators_Olinorder__class_OMin(_u10684, _u10685)) = c_Big__Operators_Olinorder__class_OMax(_u10684, hAPP(c_Set_Oimage(_u10684, _u10684, c_Groups_Ouminus__class_Ouminus(_u10684)), _u10685))) )).
% 19.53/19.77 cnf(matrix-5330, plain, ( ~class_Groups_Olinordered__ab__group__add(_u10686) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10686), _u10687)) | ( _u10687 = c_Orderings_Obot__class_Obot(tc_fun(_u10686, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u10686), c_Big__Operators_Olinorder__class_OMax(_u10686, _u10687)) = c_Big__Operators_Olinorder__class_OMin(_u10686, hAPP(c_Set_Oimage(_u10686, _u10686, c_Groups_Ouminus__class_Ouminus(_u10686)), _u10687))) )).
% 19.53/19.77 cnf(matrix-5331, plain, ( ( hAPP(c_Set_Oimage(_u10688, _u10689, _u10690), c_Orderings_Otop__class_Otop(tc_fun(_u10688, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u10689, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10689, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u10689, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u10688, _u10689, _u10690), _u10691))), hAPP(c_Set_Oimage(_u10688, _u10689, _u10690), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u10688, tc_HOL_Obool)), _u10691)))) )).
% 19.53/19.77 cnf(matrix-5332, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10693, _u10693)), _u10694), c_Relation_OId__on(_u10693, _u10695))) | hBOOL(hAPP(hAPP(c_member(_u10693), skolem239(_u10695, _u10694, _u10693)), _u10695)) )).
% 19.53/19.77 cnf(matrix-5333, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10693, _u10693)), _u10694), c_Relation_OId__on(_u10693, _u10695))) | ( _u10694 = hAPP(hAPP(c_Product__Type_OPair(_u10693, _u10693), skolem239(_u10695, _u10694, _u10693)), skolem239(_u10695, _u10694, _u10693))) )).
% 19.53/19.77 cnf(matrix-5334, plain, ( ( hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 19.53/19.77 cnf(matrix-5335, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10696, _u10697)), hAPP(hAPP(c_Product__Type_OPair(_u10696, _u10697), _u10698), _u10699)), _u10700)) | hBOOL(hAPP(hAPP(c_member(_u10701), hAPP(hAPP(_u10702, _u10698), _u10699)), hAPP(c_Set_Oimage(tc_prod(_u10696, _u10697), _u10701, hAPP(c_Product__Type_Oprod_Oprod__case(_u10696, _u10697, _u10701), _u10702)), _u10700))) )).
% 19.53/19.77 cnf(matrix-5336, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u10703), _u10704) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10703)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10704)))) )).
% 19.53/19.77 cnf(matrix-5337, plain, ( ( hAPP(c_Set_Oimage(_u10706, tc_fun(_u10706, tc_HOL_Obool), _u10705), _u10707) != hAPP(c_Set_OPow(_u10706), _u10707)) )).
% 19.53/19.77 cnf(matrix-5338, plain, ( ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10708)) = _u10708) )).
% 19.53/19.77 cnf(matrix-5339, plain, ( ( _u10711 != _u10713) | ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10711) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10713)) )).
% 19.53/19.77 cnf(matrix-5340, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10712) != hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10714)) | ( _u10712 = _u10714) )).
% 19.53/19.77 cnf(matrix-5341, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u10717), _u10719)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10717)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10719))) )).
% 19.53/19.77 cnf(matrix-5342, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10718)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10720))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u10718), _u10720)) )).
% 19.53/19.77 cnf(matrix-5343, plain, ( ~class_Orderings_Olinorder(_u10721) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u10721), _u10722) != hAPP(c_SetInterval_Oord__class_OgreaterThan(_u10721), _u10723)) | ( _u10722 = _u10723) )).
% 19.53/19.77 cnf(matrix-5344, plain, ( ~class_Orderings_Olinorder(_u10721) | ( _u10722 != _u10723) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u10721), _u10722) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u10721), _u10723)) )).
% 19.53/19.77 cnf(matrix-5345, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u10724), _u10725) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10724)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10725)))) )).
% 19.53/19.77 cnf(matrix-5346, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10728), _u10730)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10728)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10730))) )).
% 19.53/19.77 cnf(matrix-5347, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10729)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10731))) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u10729), _u10731)) )).
% 19.53/19.77 cnf(matrix-5348, plain, ( ( hAPP(c_Relation_OField(_u10732), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u10732, _u10732), tc_HOL_Obool), _u10733)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10732, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_fun(tc_prod(_u10732, _u10732), tc_HOL_Obool), tc_fun(_u10732, tc_HOL_Obool), c_Relation_OField(_u10732)), _u10733))) )).
% 19.53/19.77 cnf(matrix-5349, plain, ( ~class_Groups_Ocomm__monoid__add(_u10734) | ~class_Groups_Ocomm__monoid__mult(_u10734) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u10734), _u10735), _u10736) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u10734), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10734, tc_Int_Oint), _u10735), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10736))) )).
% 19.53/19.77 cnf(matrix-5350, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10737, tc_HOL_Obool), hAPP(c_Set_Oimage(_u10738, tc_fun(_u10737, tc_HOL_Obool), _u10739), _u10740)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10738, tc_fun(_u10737, tc_HOL_Obool)), _u10740), _u10739)) )).
% 19.53/19.77 cnf(matrix-5351, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10741, tc_fun(_u10742, tc_HOL_Obool)), _u10743), _u10744) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10742, tc_HOL_Obool), hAPP(c_Set_Oimage(_u10741, tc_fun(_u10742, tc_HOL_Obool), _u10744), _u10743))) )).
% 19.53/19.77 cnf(matrix-5352, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u10745, tc_HOL_Obool), hAPP(c_Set_Oimage(_u10746, tc_fun(_u10745, tc_HOL_Obool), _u10747), _u10748)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10746, tc_fun(_u10745, tc_HOL_Obool)), _u10748), _u10747)) )).
% 19.53/19.77 cnf(matrix-5353, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10749, tc_fun(_u10750, tc_HOL_Obool)), _u10751), _u10752) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u10750, tc_HOL_Obool), hAPP(c_Set_Oimage(_u10749, tc_fun(_u10750, tc_HOL_Obool), _u10752), _u10751))) )).
% 19.53/19.77 cnf(matrix-5354, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u10755), _u10757)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10755)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10757))) )).
% 19.53/19.77 cnf(matrix-5355, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10756)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10758))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u10756), _u10758)) )).
% 19.53/19.77 cnf(matrix-5356, plain, ( ~class_Orderings_Oord(_u10759) | ~hBOOL(hAPP(hAPP(c_member(_u10759), _u10760), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u10759), _u10761))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10759), _u10761), _u10760)) )).
% 19.53/19.77 cnf(matrix-5357, plain, ( ~class_Orderings_Oord(_u10759) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10759), _u10761), _u10760)) | hBOOL(hAPP(hAPP(c_member(_u10759), _u10760), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u10759), _u10761))) )).
% 19.53/19.77 cnf(matrix-5358, plain, ( ~class_Orderings_Olinorder(_u10762) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10762, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u10762), _u10763)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u10762), _u10764))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10762), _u10764), _u10763)) )).
% 19.53/19.77 cnf(matrix-5359, plain, ( ~class_Orderings_Olinorder(_u10762) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10762), _u10764), _u10763)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10762, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u10762), _u10763)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u10762), _u10764))) )).
% 19.53/19.77 cnf(matrix-5360, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10765, tc_fun(_u10766, tc_HOL_Obool)), _u10767), hAPP(hAPP(c_COMBS(_u10765, tc_fun(_u10766, tc_HOL_Obool), tc_fun(_u10766, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10766, tc_HOL_Obool), tc_fun(tc_fun(_u10766, tc_HOL_Obool), tc_fun(_u10766, tc_HOL_Obool)), _u10765), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10766, tc_HOL_Obool))), _u10768)), _u10769)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10766, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10766, tc_HOL_Obool), hAPP(c_Set_Oimage(_u10765, tc_fun(_u10766, tc_HOL_Obool), _u10768), _u10767))), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u10766, tc_HOL_Obool), hAPP(c_Set_Oimage(_u10765, tc_fun(_u10766, tc_HOL_Obool), _u10769), _u10767)))) )).
% 19.53/19.77 cnf(matrix-5361, plain, ( ~class_Groups_Ocomm__monoid__add(_u10770) | ~class_Groups_Ocomm__monoid__mult(_u10770) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10770), _u10771), _u10772) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u10770), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10770, tc_Int_Oint), _u10771), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10772))) )).
% 19.53/19.77 cnf(matrix-5362, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u10773, tc_fun(_u10774, tc_HOL_Obool)), _u10775), hAPP(hAPP(c_COMBS(_u10773, tc_fun(_u10774, tc_HOL_Obool), tc_fun(_u10774, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10774, tc_HOL_Obool), tc_fun(tc_fun(_u10774, tc_HOL_Obool), tc_fun(_u10774, tc_HOL_Obool)), _u10773), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10774, tc_HOL_Obool))), _u10776)), _u10777)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10774, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u10774, tc_HOL_Obool), hAPP(c_Set_Oimage(_u10773, tc_fun(_u10774, tc_HOL_Obool), _u10776), _u10775))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u10774, tc_HOL_Obool), hAPP(c_Set_Oimage(_u10773, tc_fun(_u10774, tc_HOL_Obool), _u10777), _u10775)))) )).
% 19.53/19.77 cnf(matrix-5363, plain, ( ( hAPP(c_Set_OPow(_u10778), hAPP(hAPP(c_Set_Oinsert(_u10778), _u10779), _u10780)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u10778, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u10778), _u10780)), hAPP(c_Set_Oimage(tc_fun(_u10778, tc_HOL_Obool), tc_fun(_u10778, tc_HOL_Obool), hAPP(c_Set_Oinsert(_u10778), _u10779)), hAPP(c_Set_OPow(_u10778), _u10780)))) )).
% 19.53/19.77 cnf(matrix-5364, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u10782)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10782))) )).
% 19.53/19.77 cnf(matrix-5365, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10783))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u10783)) )).
% 19.53/19.77 cnf(matrix-5366, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u10784) = hAPP(c_Finite__Set_Ocard(tc_Int_Oint), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10784))) )).
% 19.53/19.77 cnf(matrix-5367, plain, ( ~class_Orderings_Olinorder(_u10785) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u10785, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u10785), _u10786)) = hAPP(c_SetInterval_Oord__class_OatMost(_u10785), _u10786)) )).
% 19.53/19.77 cnf(matrix-5368, plain, ( ~class_Orderings_Olinorder(_u10787) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u10787, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u10787), _u10788)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u10787), _u10788)) )).
% 19.53/19.77 cnf(matrix-5369, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool)))) )).
% 19.53/19.77 cnf(matrix-5370, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 19.53/19.77 cnf(matrix-5371, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5372, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u10789, _u10790) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10789), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10790)))) )).
% 19.53/19.77 cnf(matrix-5373, plain, ( ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Int_Oint, hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Int_Oint)), _u10791)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10792), _u10791))) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u10791), _u10792)) )).
% 19.53/19.77 cnf(matrix-5374, plain, ( ( hAPP(c_Set_Oimage(_u10793, _u10793, c_COMBI(_u10793)), _u10794) = _u10794) )).
% 19.53/19.77 cnf(matrix-5375, plain, ( ~class_Orderings_Oorder(_u10795) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10795, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10795, _u10796, _u10797)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u10795), _u10797)) = c_Orderings_Obot__class_Obot(tc_fun(_u10795, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5376, plain, ( ~class_Orderings_Olinorder(_u10798) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10798), _u10799), _u10800)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10798, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10798, _u10799, _u10800)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u10798), _u10800)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u10798), _u10799)) )).
% 19.53/19.77 cnf(matrix-5377, plain, ( ~class_Groups_Oordered__ab__group__add(_u10801) | ( hAPP(c_Set_Oimage(_u10801, _u10801, c_Groups_Ouminus__class_Ouminus(_u10801)), hAPP(c_SetInterval_Oord__class_OlessThan(_u10801), _u10802)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u10801), hAPP(c_Groups_Ouminus__class_Ouminus(_u10801), _u10802))) )).
% 19.53/19.77 cnf(matrix-5378, plain, ( ~class_Groups_Oordered__ab__group__add(_u10803) | ( hAPP(c_Set_Oimage(_u10803, _u10803, c_Groups_Ouminus__class_Ouminus(_u10803)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u10803), _u10804)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u10803), hAPP(c_Groups_Ouminus__class_Ouminus(_u10803), _u10804))) )).
% 19.53/19.77 cnf(matrix-5379, plain, ( ~class_Orderings_Oorder(_u10805) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10805, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u10805, _u10806, _u10807)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u10805), _u10807)) = c_Orderings_Obot__class_Obot(tc_fun(_u10805, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5380, plain, ( ( hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10808)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u10808)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10808)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 19.53/19.77 cnf(matrix-5381, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u10809) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10809)))) )).
% 19.53/19.77 cnf(matrix-5382, plain, ( ~c_Nat__Transfer_Ois__nat(_u10810) | ~c_Nat__Transfer_Ois__nat(_u10811) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u10810, _u10811) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Int_Onat, _u10810), hAPP(c_Int_Onat, _u10811)))) )).
% 19.53/19.77 cnf(matrix-5383, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10812)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10812) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Int_Onat, _u10812)))) )).
% 19.53/19.77 cnf(matrix-5384, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10819), _u10821), _u10823)) | ( hAPP(c_Set_Oimage(_u10819, _u10825, c_Fun_Ofun__upd(_u10819, _u10825, _u10827, _u10821, _u10829)), _u10823) = hAPP(hAPP(c_Set_Oinsert(_u10825), _u10829), hAPP(c_Set_Oimage(_u10819, _u10825, _u10827), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u10819, tc_HOL_Obool)), _u10823), hAPP(hAPP(c_Set_Oinsert(_u10819), _u10821), c_Orderings_Obot__class_Obot(tc_fun(_u10819, tc_HOL_Obool))))))) )).
% 19.53/19.77 cnf(matrix-5385, plain, ( hBOOL(hAPP(hAPP(c_member(_u10820), _u10822), _u10824)) | ( hAPP(c_Set_Oimage(_u10820, _u10826, c_Fun_Ofun__upd(_u10820, _u10826, _u10828, _u10822, _u10830)), _u10824) = hAPP(c_Set_Oimage(_u10820, _u10826, _u10828), _u10824)) )).
% 19.53/19.77 cnf(matrix-5386, plain, ( ~class_Orderings_Olinorder(_u10833) | ( hAPP(_u10834, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10833), skolem240(_u10835, _u10834, _u10833)), skolem241(_u10835, _u10834, _u10833))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10833), hAPP(_u10834, skolem240(_u10835, _u10834, _u10833))), hAPP(_u10834, skolem241(_u10835, _u10834, _u10833)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10833), _u10835)) | ( _u10835 = c_Orderings_Obot__class_Obot(tc_fun(_u10833, tc_HOL_Obool))) | ( hAPP(_u10834, c_Big__Operators_Olattice_OSup__fin(_u10833, c_Orderings_Oord__class_Omax(_u10833), _u10835)) = c_Big__Operators_Olattice_OSup__fin(_u10833, c_Orderings_Oord__class_Omax(_u10833), hAPP(c_Set_Oimage(_u10833, _u10833, _u10834), _u10835))) )).
% 19.53/19.77 cnf(matrix-5387, plain, ( ~class_Orderings_Olinorder(_u10838) | ( hAPP(_u10839, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10838), skolem242(_u10840, _u10839, _u10838)), skolem243(_u10840, _u10839, _u10838))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10838), hAPP(_u10839, skolem242(_u10840, _u10839, _u10838))), hAPP(_u10839, skolem243(_u10840, _u10839, _u10838)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10838), _u10840)) | ( _u10840 = c_Orderings_Obot__class_Obot(tc_fun(_u10838, tc_HOL_Obool))) | ( hAPP(_u10839, c_Big__Operators_Olattice_OInf__fin(_u10838, c_Orderings_Oord__class_Omin(_u10838), _u10840)) = c_Big__Operators_Olattice_OInf__fin(_u10838, c_Orderings_Oord__class_Omin(_u10838), hAPP(c_Set_Oimage(_u10838, _u10838, _u10839), _u10840))) )).
% 19.53/19.77 cnf(matrix-5388, plain, ( ( c_Fun_Ofun__upd(_u10841, _u10842, _u10843, _u10844, hAPP(_u10843, _u10844)) = _u10843) )).
% 19.53/19.77 cnf(matrix-5389, plain, ( ( hAPP(_u10845, _u10846) != _u10847) | ( c_Fun_Ofun__upd(_u10848, _u10849, _u10845, _u10846, _u10847) = _u10845) )).
% 19.53/19.77 cnf(matrix-5390, plain, ( ( _u10850 = _u10851) | ( hAPP(c_Fun_Ofun__upd(_u10852, _u10853, _u10854, _u10851, _u10855), _u10850) = hAPP(_u10854, _u10850)) )).
% 19.53/19.77 cnf(matrix-5391, plain, ( ( _u10856 = _u10857) | ( c_Fun_Ofun__upd(_u10858, _u10859, c_Fun_Ofun__upd(_u10858, _u10859, _u10860, _u10856, _u10861), _u10857, _u10862) = c_Fun_Ofun__upd(_u10858, _u10859, c_Fun_Ofun__upd(_u10858, _u10859, _u10860, _u10857, _u10862), _u10856, _u10861)) )).
% 19.53/19.77 cnf(matrix-5392, plain, ( ( _u10869 != _u10871) | ( hAPP(c_Fun_Ofun__upd(_u10873, _u10875, _u10877, _u10871, _u10879), _u10869) = _u10879) )).
% 19.53/19.77 cnf(matrix-5393, plain, ( ( _u10870 = _u10872) | ( hAPP(c_Fun_Ofun__upd(_u10874, _u10876, _u10878, _u10872, _u10880), _u10870) = hAPP(_u10878, _u10870)) )).
% 19.53/19.77 cnf(matrix-5394, plain, ( ( hAPP(c_Fun_Ofun__upd(_u10881, _u10882, _u10883, _u10884, _u10885), _u10884) = _u10885) )).
% 19.53/19.77 cnf(matrix-5395, plain, ( ( c_Fun_Ofun__upd(_u10886, _u10887, c_Fun_Ofun__upd(_u10886, _u10887, _u10888, _u10889, _u10890), _u10889, _u10891) = c_Fun_Ofun__upd(_u10886, _u10887, _u10888, _u10889, _u10891)) )).
% 19.53/19.77 cnf(matrix-5396, plain, ( ( hAPP(_u10901, _u10903) = _u10905) | ( c_Fun_Ofun__upd(_u10897, _u10899, _u10901, _u10903, _u10905) != _u10901) )).
% 19.53/19.77 cnf(matrix-5397, plain, ( ( hAPP(_u10902, _u10904) != _u10906) | ( c_Fun_Ofun__upd(_u10898, _u10900, _u10902, _u10904, _u10906) = _u10902) )).
% 19.53/19.77 cnf(matrix-5398, plain, ( ( _u10913 != _u10915) | ( hAPP(c_Fun_Ofun__upd(_u10917, _u10919, _u10921, _u10915, _u10923), _u10913) = _u10923) )).
% 19.53/19.77 cnf(matrix-5399, plain, ( ( _u10914 = _u10916) | ( hAPP(c_Fun_Ofun__upd(_u10918, _u10920, _u10922, _u10916, _u10924), _u10914) = hAPP(_u10922, _u10914)) )).
% 19.53/19.77 cnf(matrix-5400, plain, ( ~c_Nat__Transfer_Onat__set(_u10925) | ~c_Nat__Transfer_Onat__set(_u10926) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10925), _u10926) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10925)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10926)))) )).
% 19.53/19.77 cnf(matrix-5401, plain, ( ~c_Nat__Transfer_Onat__set(_u10927) | ~c_Nat__Transfer_Onat__set(_u10928) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10927), _u10928) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10927)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10928)))) )).
% 19.53/19.77 cnf(matrix-5402, plain, ( ~class_Groups_Ocomm__monoid__add(_u10929) | ~class_Groups_Ocomm__monoid__mult(_u10929) | ~c_Nat__Transfer_Onat__set(_u10930) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u10929), _u10931), _u10930) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u10929), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u10929, tc_Nat_Onat), _u10931), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10930))) )).
% 19.53/19.77 cnf(matrix-5403, plain, ( c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5404, plain, ( ~c_Nat__Transfer_Onat__set(_u10932) | ~c_Nat__Transfer_Onat__set(_u10933) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10932), _u10933)) )).
% 19.53/19.77 cnf(matrix-5405, plain, ( ~c_Nat__Transfer_Onat__set(_u10934) | ~c_Nat__Transfer_Onat__set(_u10935) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10934), _u10935)) )).
% 19.53/19.77 cnf(matrix-5406, plain, ( ~c_Nat__Transfer_Onat__set(_u10939) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10936), _u10939)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10936)) )).
% 19.53/19.77 cnf(matrix-5407, plain, ( c_Nat__Transfer_Onat__set(_u10940) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem244(_u10940)), _u10940)) )).
% 19.53/19.77 cnf(matrix-5408, plain, ( c_Nat__Transfer_Onat__set(_u10940) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem244(_u10940))) )).
% 19.53/19.77 cnf(matrix-5409, plain, ( c_Nat__Transfer_Onat__set(hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u10941)) )).
% 19.53/19.77 cnf(matrix-5410, plain, ( ~c_Nat__Transfer_Onat__set(_u10942) | ~c_Nat__Transfer_Onat__set(_u10943) | ( _u10942 != _u10943) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10942) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10943)) )).
% 19.53/19.77 cnf(matrix-5411, plain, ( ~c_Nat__Transfer_Onat__set(_u10942) | ~c_Nat__Transfer_Onat__set(_u10943) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10942) != hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10943)) | ( _u10942 = _u10943) )).
% 19.53/19.77 cnf(matrix-5412, plain, ( ~c_Nat__Transfer_Ois__nat(_u10944) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u10944, _u10945)) )).
% 19.53/19.77 cnf(matrix-5413, plain, ( ~c_Nat__Transfer_Onat__set(_u10946) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10947), _u10946)) | c_Nat__Transfer_Ois__nat(_u10947) )).
% 19.53/19.77 cnf(matrix-5414, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10948)) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u10948, _u10949)) )).
% 19.53/19.77 cnf(matrix-5415, plain, ( ~c_Nat__Transfer_Onat__set(_u10950) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10951), _u10950)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10951)) )).
% 19.53/19.77 cnf(matrix-5416, plain, ( ~c_Nat__Transfer_Onat__set(_u10952) | ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10952)) = _u10952) )).
% 19.53/19.77 cnf(matrix-5417, plain, ( ~c_Nat__Transfer_Onat__set(_u10953) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u10953)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10953))) )).
% 19.53/19.77 cnf(matrix-5418, plain, ( ~c_Nat__Transfer_Onat__set(_u10953) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10953))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u10953)) )).
% 19.53/19.77 cnf(matrix-5419, plain, ( ~c_Nat__Transfer_Onat__set(_u10954) | ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), _u10954) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10954))) )).
% 19.53/19.77 cnf(matrix-5420, plain, ( ~c_Nat__Transfer_Ois__nat(_u10955) | ~c_Nat__Transfer_Onat__set(_u10956) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10955), _u10956)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u10955)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10956))) )).
% 19.53/19.77 cnf(matrix-5421, plain, ( ~c_Nat__Transfer_Ois__nat(_u10955) | ~c_Nat__Transfer_Onat__set(_u10956) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u10955)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10956))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u10955), _u10956)) )).
% 19.53/19.77 cnf(matrix-5422, plain, ( ~c_Nat__Transfer_Onat__set(_u10957) | ~c_Nat__Transfer_Onat__set(_u10958) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10957), _u10958)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10957)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10958))) )).
% 19.53/19.77 cnf(matrix-5423, plain, ( ~c_Nat__Transfer_Onat__set(_u10957) | ~c_Nat__Transfer_Onat__set(_u10958) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10957)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10958))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10957), _u10958)) )).
% 19.53/19.77 cnf(matrix-5424, plain, ( ~c_Nat__Transfer_Onat__set(_u10959) | ~c_Nat__Transfer_Onat__set(_u10960) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10959), _u10960)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10959)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10960))) )).
% 19.53/19.77 cnf(matrix-5425, plain, ( ~c_Nat__Transfer_Onat__set(_u10959) | ~c_Nat__Transfer_Onat__set(_u10960) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10959)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10960))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u10959), _u10960)) )).
% 19.53/19.77 cnf(matrix-5426, plain, ( ~class_Groups_Ocomm__monoid__add(_u10961) | ~class_Groups_Ocomm__monoid__mult(_u10961) | ~c_Nat__Transfer_Onat__set(_u10962) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u10961), _u10963), _u10962) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u10961), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u10961, tc_Nat_Onat), _u10963), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u10962))) )).
% 19.53/19.77 cnf(matrix-5427, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10964)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), _u10964)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u10964), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 19.53/19.77 cnf(matrix-5428, plain, ( ~class_Orderings_Olinorder(_u10967) | ( hAPP(_u10968, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10967), skolem245(_u10969, _u10968, _u10967)), skolem246(_u10969, _u10968, _u10967))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10967), hAPP(_u10968, skolem245(_u10969, _u10968, _u10967))), hAPP(_u10968, skolem246(_u10969, _u10968, _u10967)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10967), _u10969)) | ( _u10969 = c_Orderings_Obot__class_Obot(tc_fun(_u10967, tc_HOL_Obool))) | ( hAPP(_u10968, c_Big__Operators_Olinorder__class_OMax(_u10967, _u10969)) = c_Big__Operators_Olinorder__class_OMax(_u10967, hAPP(c_Set_Oimage(_u10967, _u10967, _u10968), _u10969))) )).
% 19.53/19.77 cnf(matrix-5429, plain, ( ~class_Orderings_Olinorder(_u10972) | ( hAPP(_u10973, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10972), skolem247(_u10974, _u10973, _u10972)), skolem248(_u10974, _u10973, _u10972))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u10972), hAPP(_u10973, skolem247(_u10974, _u10973, _u10972))), hAPP(_u10973, skolem248(_u10974, _u10973, _u10972)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u10972), _u10974)) | ( _u10974 = c_Orderings_Obot__class_Obot(tc_fun(_u10972, tc_HOL_Obool))) | ( hAPP(_u10973, c_Big__Operators_Olinorder__class_OMin(_u10972, _u10974)) = c_Big__Operators_Olinorder__class_OMin(_u10972, hAPP(c_Set_Oimage(_u10972, _u10972, _u10973), _u10974))) )).
% 19.53/19.77 cnf(matrix-5430, plain, ( ~class_Orderings_Olinorder(_u10975) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u10975), _u10976) != hAPP(c_SetInterval_Oord__class_OatLeast(_u10975), _u10977)) | ( _u10976 = _u10977) )).
% 19.53/19.77 cnf(matrix-5431, plain, ( ~class_Orderings_Olinorder(_u10975) | ( _u10976 != _u10977) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u10975), _u10976) = hAPP(c_SetInterval_Oord__class_OatLeast(_u10975), _u10977)) )).
% 19.53/19.77 cnf(matrix-5432, plain, ( ~class_Orderings_Oord(_u10978) | ~hBOOL(hAPP(hAPP(c_member(_u10978), _u10979), hAPP(c_SetInterval_Oord__class_OatLeast(_u10978), _u10980))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10978), _u10980), _u10979)) )).
% 19.53/19.77 cnf(matrix-5433, plain, ( ~class_Orderings_Oord(_u10978) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10978), _u10980), _u10979)) | hBOOL(hAPP(hAPP(c_member(_u10978), _u10979), hAPP(c_SetInterval_Oord__class_OatLeast(_u10978), _u10980))) )).
% 19.53/19.77 cnf(matrix-5434, plain, ( ~class_Orderings_Oorder(_u10981) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10981, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u10981), _u10982)), hAPP(c_SetInterval_Oord__class_OatLeast(_u10981), _u10983))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10981), _u10983), _u10982)) )).
% 19.53/19.77 cnf(matrix-5435, plain, ( ~class_Orderings_Oorder(_u10981) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10981), _u10983), _u10982)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10981, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u10981), _u10982)), hAPP(c_SetInterval_Oord__class_OatLeast(_u10981), _u10983))) )).
% 19.53/19.77 cnf(matrix-5436, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5437, plain, ( ~class_Orderings_Olinorder(_u10984) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u10984, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u10984), _u10985)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u10984), _u10985)) )).
% 19.53/19.77 cnf(matrix-5438, plain, ( ~class_Orderings_Olinorder(_u10986) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u10986, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u10986), _u10987)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u10986), _u10987)) )).
% 19.53/19.77 cnf(matrix-5439, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10988)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u10988)) )).
% 19.53/19.77 cnf(matrix-5440, plain, ( ~class_Orderings_Olinorder(_u10989) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10989), _u10990), _u10991)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10989, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10989, _u10990), _u10991)), hAPP(c_SetInterval_Oord__class_OatLeast(_u10989), _u10991)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u10989), _u10990)) )).
% 19.53/19.77 cnf(matrix-5441, plain, ( ~class_Orderings_Oorder(_u10992) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10992, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u10992, _u10993), _u10994)), hAPP(c_SetInterval_Oord__class_OatLeast(_u10992), _u10994)) = c_Orderings_Obot__class_Obot(tc_fun(_u10992, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5442, plain, ( ~class_Orderings_Olinorder(_u10995) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10995, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u10995), _u10996)), c_SetInterval_Oord__class_OatLeastAtMost(_u10995, _u10997, _u10998)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10995, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10995), _u10996), _u10997), _u10998)) )).
% 19.53/19.77 cnf(matrix-5443, plain, ( ~class_Orderings_Olinorder(_u10999) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10999, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u10999, _u11000, _u11001)), hAPP(c_SetInterval_Oord__class_OatLeast(_u10999), _u11002)) = c_SetInterval_Oord__class_OatLeastAtMost(_u10999, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u10999), _u11000), _u11002), _u11001)) )).
% 19.53/19.77 cnf(matrix-5444, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5445, plain, ( ~class_Orderings_Oorder(_u11003) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11003, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11003, _u11004, _u11005)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11003), _u11005)) = c_Orderings_Obot__class_Obot(tc_fun(_u11003, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5446, plain, ( ~class_Groups_Oordered__ab__group__add(_u11006) | ( hAPP(c_Set_Oimage(_u11006, _u11006, c_Groups_Ouminus__class_Ouminus(_u11006)), hAPP(c_SetInterval_Oord__class_OatMost(_u11006), _u11007)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11006), hAPP(c_Groups_Ouminus__class_Ouminus(_u11006), _u11007))) )).
% 19.53/19.77 cnf(matrix-5447, plain, ( ~class_Groups_Oordered__ab__group__add(_u11008) | ( hAPP(c_Set_Oimage(_u11008, _u11008, c_Groups_Ouminus__class_Ouminus(_u11008)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11008), _u11009)) = hAPP(c_SetInterval_Oord__class_OatMost(_u11008), hAPP(c_Groups_Ouminus__class_Ouminus(_u11008), _u11009))) )).
% 19.53/19.77 cnf(matrix-5448, plain, ( ~class_Orderings_Oorder(_u11010) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11010, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u11010), _u11011)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11010), _u11011)) = hAPP(hAPP(c_Set_Oinsert(_u11010), _u11011), c_Orderings_Obot__class_Obot(tc_fun(_u11010, tc_HOL_Obool)))) )).
% 19.53/19.77 cnf(matrix-5449, plain, ( ~class_Orderings_Olinorder(_u11012) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11012, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11012), _u11013), c_Orderings_Obot__class_Obot(tc_fun(_u11012, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11012), _u11013)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11012), _u11013)) )).
% 19.53/19.77 cnf(matrix-5450, plain, ( ~class_Orderings_Olinorder(_u11014) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u11014), _u11015), _u11016)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11014, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u11014, _u11015, _u11016)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11014), _u11016)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u11014), _u11015)) )).
% 19.53/19.77 cnf(matrix-5451, plain, ( ~class_Orderings_Olinorder(_u11017) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u11017), _u11018), _u11019)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11017, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u11017, _u11018, _u11019)), hAPP(c_SetInterval_Oord__class_OatLeast(_u11017), _u11019)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u11017), _u11018)) )).
% 19.53/19.77 cnf(matrix-5452, plain, ( ~class_Lattices_Olattice(_u11022) | ( hAPP(_u11023, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11022), skolem249(_u11024, _u11023, _u11022)), skolem250(_u11024, _u11023, _u11022))) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u11022), hAPP(_u11023, skolem249(_u11024, _u11023, _u11022))), hAPP(_u11023, skolem250(_u11024, _u11023, _u11022)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11022), _u11024)) | ( _u11024 = c_Orderings_Obot__class_Obot(tc_fun(_u11022, tc_HOL_Obool))) | ( hAPP(_u11023, c_Big__Operators_Olattice__class_OInf__fin(_u11022, _u11024)) = c_Big__Operators_Olattice__class_OInf__fin(_u11022, hAPP(c_Set_Oimage(_u11022, _u11022, _u11023), _u11024))) )).
% 19.53/19.77 cnf(matrix-5453, plain, ( ~class_Lattices_Olattice(_u11027) | ( hAPP(_u11028, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11027), skolem251(_u11029, _u11028, _u11027)), skolem252(_u11029, _u11028, _u11027))) != hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u11027), hAPP(_u11028, skolem251(_u11029, _u11028, _u11027))), hAPP(_u11028, skolem252(_u11029, _u11028, _u11027)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11027), _u11029)) | ( _u11029 = c_Orderings_Obot__class_Obot(tc_fun(_u11027, tc_HOL_Obool))) | ( hAPP(_u11028, c_Big__Operators_Olattice__class_OSup__fin(_u11027, _u11029)) = c_Big__Operators_Olattice__class_OSup__fin(_u11027, hAPP(c_Set_Oimage(_u11027, _u11027, _u11028), _u11029))) )).
% 19.53/19.77 cnf(matrix-5454, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u11032) | ( hAPP(_u11033, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11032), skolem253(_u11034, _u11033, _u11032)), skolem254(_u11034, _u11033, _u11032))) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11032), hAPP(_u11033, skolem253(_u11034, _u11033, _u11032))), hAPP(_u11033, skolem254(_u11034, _u11033, _u11032)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11032), _u11034)) | ( _u11034 = c_Orderings_Obot__class_Obot(tc_fun(_u11032, tc_HOL_Obool))) | ( hAPP(_u11033, hAPP(c_Finite__Set_Ofold1(_u11032, c_Groups_Otimes__class_Otimes(_u11032)), _u11034)) = hAPP(c_Finite__Set_Ofold1(_u11032, c_Groups_Otimes__class_Otimes(_u11032)), hAPP(c_Set_Oimage(_u11032, _u11032, _u11033), _u11034))) )).
% 19.53/19.77 cnf(matrix-5455, plain, ( ( hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11037), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))) != hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11039), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))) | 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)), _u11037), _u11039)), c_Int_Ointrel)) )).
% 19.53/19.77 cnf(matrix-5456, plain, ( ~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)), _u11038), _u11040)), c_Int_Ointrel)) | ( hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11038), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))) = hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11040), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))) )).
% 19.53/19.77 cnf(matrix-5457, plain, ( ~class_Groups_Ocomm__monoid__add(_u11042) | ~class_Groups_Ocomm__monoid__mult(_u11042) | ( _u11043 != _u11044) | ~c_Nat__Transfer_Onat__set(_u11044) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11042), _u11045), _u11043) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11042), _u11046), _u11044)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem255(_u11046, _u11045, _u11044, _u11043, _u11042))) )).
% 19.53/19.77 cnf(matrix-5458, plain, ( ~class_Groups_Ocomm__monoid__add(_u11042) | ~class_Groups_Ocomm__monoid__mult(_u11042) | ( _u11043 != _u11044) | ~c_Nat__Transfer_Onat__set(_u11044) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11042), _u11045), _u11043) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u11042), _u11046), _u11044)) | ( hAPP(_u11045, skolem255(_u11046, _u11045, _u11044, _u11043, _u11042)) != hAPP(_u11046, skolem255(_u11046, _u11045, _u11044, _u11043, _u11042))) )).
% 19.53/19.77 cnf(matrix-5459, plain, ( ~class_Groups_Ocomm__monoid__add(_u11048) | ~class_Groups_Ocomm__monoid__mult(_u11048) | ( _u11049 != _u11050) | ~c_Nat__Transfer_Onat__set(_u11050) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u11048), _u11051), _u11049) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u11048), _u11052), _u11050)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem256(_u11052, _u11051, _u11050, _u11049, _u11048))) )).
% 19.53/19.77 cnf(matrix-5460, plain, ( ~class_Groups_Ocomm__monoid__add(_u11048) | ~class_Groups_Ocomm__monoid__mult(_u11048) | ( _u11049 != _u11050) | ~c_Nat__Transfer_Onat__set(_u11050) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u11048), _u11051), _u11049) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u11048), _u11052), _u11050)) | ( hAPP(_u11051, skolem256(_u11052, _u11051, _u11050, _u11049, _u11048)) != hAPP(_u11052, skolem256(_u11052, _u11051, _u11050, _u11049, _u11048))) )).
% 19.53/19.77 cnf(matrix-5461, plain, ( ( hAPP(c_Relation_OImage(_u11053, _u11054, _u11055), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11056, tc_fun(_u11053, tc_HOL_Obool)), _u11057), _u11058)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11056, tc_fun(_u11054, tc_HOL_Obool)), _u11057), hAPP(hAPP(c_COMBB(tc_fun(_u11053, tc_HOL_Obool), tc_fun(_u11054, tc_HOL_Obool), _u11056), c_Relation_OImage(_u11053, _u11054, _u11055)), _u11058))) )).
% 19.53/19.77 cnf(matrix-5462, plain, ( ( hAPP(c_Relation_OImage(_u11059, _u11060, _u11061), c_Orderings_Obot__class_Obot(tc_fun(_u11059, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u11060, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5463, plain, ( ( hAPP(c_Relation_OImage(_u11062, _u11063, _u11064), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11062, tc_HOL_Obool)), _u11065), _u11066)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11063, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11062, _u11063, _u11064), _u11065)), hAPP(c_Relation_OImage(_u11062, _u11063, _u11064), _u11066))) )).
% 19.53/19.77 cnf(matrix-5464, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11067, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11068, _u11067, _u11069), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11068, tc_HOL_Obool)), _u11070), _u11071))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11067, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11068, _u11067, _u11069), _u11070)), hAPP(c_Relation_OImage(_u11068, _u11067, _u11069), _u11071)))) )).
% 19.53/19.77 cnf(matrix-5465, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u11072, _u11073), tc_HOL_Obool)), _u11074), _u11075)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11072, tc_HOL_Obool)), _u11076), _u11077)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11073, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11072, _u11073, _u11074), _u11076)), hAPP(c_Relation_OImage(_u11072, _u11073, _u11075), _u11077))) )).
% 19.53/19.77 cnf(matrix-5466, plain, ( ( hAPP(c_Relation_OImage(_u11078, _u11079, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u11078, _u11079), tc_HOL_Obool)), _u11080), _u11081)), _u11082) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11079, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11078, _u11079, _u11080), _u11082)), hAPP(c_Relation_OImage(_u11078, _u11079, _u11081), _u11082))) )).
% 19.53/19.77 cnf(matrix-5467, plain, ( ( hAPP(c_Relation_OImage(_u11083, _u11083, c_Relation_OId__on(_u11083, _u11084)), _u11085) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11083, tc_HOL_Obool)), _u11084), _u11085)) )).
% 19.53/19.77 cnf(matrix-5468, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11086, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11087, _u11086, _u11088), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11089, tc_fun(_u11087, tc_HOL_Obool)), _u11090), _u11091))), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11089, tc_fun(_u11086, tc_HOL_Obool)), _u11090), hAPP(hAPP(c_COMBB(tc_fun(_u11087, tc_HOL_Obool), tc_fun(_u11086, tc_HOL_Obool), _u11089), c_Relation_OImage(_u11087, _u11086, _u11088)), _u11091)))) )).
% 19.53/19.77 cnf(matrix-5469, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11099), _u11101), hAPP(c_Relation_OImage(_u11103, _u11099, _u11105), _u11107))) | hBOOL(hAPP(hAPP(c_member(_u11103), skolem257(_u11107, _u11105, _u11103, _u11101, _u11099)), _u11107)) )).
% 19.53/19.77 cnf(matrix-5470, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11099), _u11101), hAPP(c_Relation_OImage(_u11103, _u11099, _u11105), _u11107))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11103, _u11099)), hAPP(hAPP(c_Product__Type_OPair(_u11103, _u11099), skolem257(_u11107, _u11105, _u11103, _u11101, _u11099)), _u11101)), _u11105)) )).
% 19.53/19.77 cnf(matrix-5471, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11104), _u11093), _u11108)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11104, _u11100)), hAPP(hAPP(c_Product__Type_OPair(_u11104, _u11100), _u11093), _u11102)), _u11106)) | hBOOL(hAPP(hAPP(c_member(_u11100), _u11102), hAPP(c_Relation_OImage(_u11104, _u11100, _u11106), _u11108))) )).
% 19.53/19.77 cnf(matrix-5472, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11109), _u11110), _u11111)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11109, _u11112)), hAPP(hAPP(c_Product__Type_OPair(_u11109, _u11112), _u11110), _u11113)), _u11114)) | hBOOL(hAPP(hAPP(c_member(_u11112), _u11113), hAPP(c_Relation_OImage(_u11109, _u11112, _u11114), _u11111))) )).
% 19.53/19.77 cnf(matrix-5473, plain, ( ( hAPP(c_Relation_OImage(_u11115, _u11116, _u11117), _u11118) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11115, tc_fun(_u11116, tc_HOL_Obool)), _u11118), hAPP(hAPP(c_COMBB(tc_fun(_u11115, tc_HOL_Obool), tc_fun(_u11116, tc_HOL_Obool), _u11115), c_Relation_OImage(_u11115, _u11116, _u11117)), hAPP(hAPP(c_COMBC(_u11115, tc_fun(_u11115, tc_HOL_Obool), tc_fun(_u11115, tc_HOL_Obool)), c_Set_Oinsert(_u11115)), c_Orderings_Obot__class_Obot(tc_fun(_u11115, tc_HOL_Obool)))))) )).
% 19.53/19.77 cnf(matrix-5474, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11124), _u11126), hAPP(c_Relation_OImage(_u11128, _u11124, _u11130), hAPP(hAPP(c_Set_Oinsert(_u11128), _u11132), c_Orderings_Obot__class_Obot(tc_fun(_u11128, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11128, _u11124)), hAPP(hAPP(c_Product__Type_OPair(_u11128, _u11124), _u11132), _u11126)), _u11130)) )).
% 19.53/19.77 cnf(matrix-5475, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11129, _u11125)), hAPP(hAPP(c_Product__Type_OPair(_u11129, _u11125), _u11133), _u11127)), _u11131)) | hBOOL(hAPP(hAPP(c_member(_u11125), _u11127), hAPP(c_Relation_OImage(_u11129, _u11125, _u11131), hAPP(hAPP(c_Set_Oinsert(_u11129), _u11133), c_Orderings_Obot__class_Obot(tc_fun(_u11129, tc_HOL_Obool)))))) )).
% 19.53/19.77 cnf(matrix-5476, plain, ( ~class_Rings_Oring__1(_u11134) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11134), hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11135), _u11136)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u11134), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11134), _u11135)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11134), _u11136))) )).
% 19.53/19.77 cnf(matrix-5477, plain, ( ( c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 19.53/19.77 cnf(matrix-5478, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11137), _u11138)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))), hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11139), _u11140)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) = hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11137), _u11139)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11138), _u11140))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11137), _u11140)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11138), _u11139)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 19.53/19.77 cnf(matrix-5479, plain, ( ( hAPP(c_Int_OAbs__Integ, hAPP(c_Int_ORep__Integ, _u11141)) = _u11141) )).
% 19.53/19.77 cnf(matrix-5480, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11142), _u11143)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) = hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11143), _u11142)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 19.53/19.77 cnf(matrix-5481, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 19.53/19.77 cnf(matrix-5482, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u11144) = hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11144), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 19.53/19.77 cnf(matrix-5483, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11145), _u11146)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))), hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11147), _u11148)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) = hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11145), _u11147)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11146), _u11148))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 19.53/19.77 cnf(matrix-5484, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11149), _u11150)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11149), _u11150)) )).
% 19.53/19.77 cnf(matrix-5485, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11151) = hAPP(c_Int_OAbs__Integ, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), hAPP(c_Int_ORep__Integ, _u11151)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(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_Nat_Onat), c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(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_fun(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), tc_Nat_Onat), c_COMBC(tc_Nat_Onat, 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_COMBB(tc_fun(tc_Nat_Onat, tc_prod(tc_Nat_Onat, tc_Nat_Onat)), tc_fun(tc_Nat_Onat, tc_fun(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_Nat_Onat), hAPP(c_COMBB(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_fun(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_Nat_Onat), c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)))), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_prod(tc_Nat_Onat, tc_Nat_Onat)), c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat))))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))))) )).
% 19.53/19.77 cnf(matrix-5486, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11156), _u11158)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))), hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11160), _u11162)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11156), _u11162)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11160), _u11158))) )).
% 19.53/19.77 cnf(matrix-5487, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11157), _u11163)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11161), _u11159))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11157), _u11159)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))), hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11161), _u11163)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 19.53/19.77 cnf(matrix-5488, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11168), _u11170)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))), hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11172), _u11174)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11168), _u11174)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11172), _u11170))) )).
% 19.53/19.77 cnf(matrix-5489, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11169), _u11175)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11173), _u11171))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11169), _u11171)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))), hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11173), _u11175)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 19.53/19.77 cnf(matrix-5490, plain, ( ( _u11178 = hAPP(c_Int_OAbs__Integ, hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Int_Ointrel), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), skolem258(_u11178)), skolem259(_u11178))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 19.53/19.77 cnf(matrix-5491, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11179), _u11180), _u11181) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11179, tc_fun(tc_fun(_u11179, tc_HOL_Obool), tc_HOL_Obool)), _u11180), hAPP(hAPP(c_COMBC(_u11179, tc_fun(tc_fun(_u11179, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u11179, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11179, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u11179, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u11179, tc_HOL_Obool), tc_HOL_Obool)), _u11179), c_Set_Oinsert(tc_fun(_u11179, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u11179, tc_HOL_Obool), tc_fun(_u11179, tc_HOL_Obool), _u11179), c_Relation_OImage(_u11179, _u11179, _u11181)), hAPP(hAPP(c_COMBC(_u11179, tc_fun(_u11179, tc_HOL_Obool), tc_fun(_u11179, tc_HOL_Obool)), c_Set_Oinsert(_u11179)), c_Orderings_Obot__class_Obot(tc_fun(_u11179, tc_HOL_Obool)))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11179, tc_HOL_Obool), tc_HOL_Obool))))) )).
% 19.53/19.77 cnf(matrix-5492, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11183), _u11184), hAPP(c_Relation_OImage(_u11185, _u11183, _u11186), _u11187))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11185, _u11183)), hAPP(hAPP(c_Product__Type_OPair(_u11185, _u11183), skolem260(_u11187, _u11186, _u11185, _u11184, _u11183)), _u11184)), _u11186)) )).
% 19.53/19.77 cnf(matrix-5493, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11183), _u11184), hAPP(c_Relation_OImage(_u11185, _u11183, _u11186), _u11187))) | hBOOL(hAPP(hAPP(c_member(_u11185), skolem260(_u11187, _u11186, _u11185, _u11184, _u11183)), _u11187)) )).
% 19.53/19.77 cnf(matrix-5494, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11191), _u11193), _u11195) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11191, tc_HOL_Obool), tc_HOL_Obool))) | ( _u11193 = c_Orderings_Obot__class_Obot(tc_fun(_u11191, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5495, plain, ( ( _u11194 != c_Orderings_Obot__class_Obot(tc_fun(_u11192, tc_HOL_Obool))) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11192), _u11194), _u11196) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11192, tc_HOL_Obool), tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5496, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11200, tc_HOL_Obool), tc_HOL_Obool)) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11200), _u11202), _u11204)) | ( _u11202 = c_Orderings_Obot__class_Obot(tc_fun(_u11200, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5497, plain, ( ( _u11203 != c_Orderings_Obot__class_Obot(tc_fun(_u11201, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11201, tc_HOL_Obool), tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11201), _u11203), _u11205)) )).
% 19.53/19.77 cnf(matrix-5498, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11206), c_Orderings_Obot__class_Obot(tc_fun(_u11206, tc_HOL_Obool))), _u11207) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11206, tc_HOL_Obool), tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5499, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11208), _u11209), _u11210)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11208, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11208, _u11208, _u11211), hAPP(hAPP(c_Set_Oinsert(_u11208), _u11209), c_Orderings_Obot__class_Obot(tc_fun(_u11208, tc_HOL_Obool))))), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11208), _u11210), _u11211))) )).
% 19.53/19.77 cnf(matrix-5500, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11212), hAPP(hAPP(c_Set_Oinsert(_u11212), _u11213), c_Orderings_Obot__class_Obot(tc_fun(_u11212, tc_HOL_Obool)))), _u11214) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u11212, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11212, _u11212, _u11214), hAPP(hAPP(c_Set_Oinsert(_u11212), _u11213), c_Orderings_Obot__class_Obot(tc_fun(_u11212, tc_HOL_Obool))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11212, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 19.53/19.77 cnf(matrix-5501, plain, ( ~c_Equiv__Relations_Oequiv(_u11215, _u11216, _u11217) | ~hBOOL(hAPP(hAPP(c_member(_u11215), _u11218), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11215, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11215, _u11215, _u11217), hAPP(hAPP(c_Set_Oinsert(_u11215), _u11219), c_Orderings_Obot__class_Obot(tc_fun(_u11215, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u11215, _u11215, _u11217), hAPP(hAPP(c_Set_Oinsert(_u11215), _u11220), c_Orderings_Obot__class_Obot(tc_fun(_u11215, tc_HOL_Obool))))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11215, _u11215)), hAPP(hAPP(c_Product__Type_OPair(_u11215, _u11215), _u11219), _u11220)), _u11217)) )).
% 19.53/19.77 cnf(matrix-5502, plain, ( ~c_Equiv__Relations_Oequiv(_u11221, _u11222, _u11223) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11221, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11221, _u11221, _u11223), hAPP(hAPP(c_Set_Oinsert(_u11221), _u11224), c_Orderings_Obot__class_Obot(tc_fun(_u11221, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u11221, _u11221, _u11223), hAPP(hAPP(c_Set_Oinsert(_u11221), _u11225), c_Orderings_Obot__class_Obot(tc_fun(_u11221, tc_HOL_Obool)))))) | ~hBOOL(hAPP(hAPP(c_member(_u11221), _u11224), _u11222)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11221, _u11221)), hAPP(hAPP(c_Product__Type_OPair(_u11221, _u11221), _u11225), _u11224)), _u11223)) )).
% 19.53/19.77 cnf(matrix-5503, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11227, tc_HOL_Obool)), _u11228), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11227), _u11229), _u11230))) | ( _u11228 = hAPP(c_Relation_OImage(_u11227, _u11227, _u11230), hAPP(hAPP(c_Set_Oinsert(_u11227), skolem261(_u11230, _u11229, _u11228, _u11227)), c_Orderings_Obot__class_Obot(tc_fun(_u11227, tc_HOL_Obool))))) )).
% 19.53/19.77 cnf(matrix-5504, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11227, tc_HOL_Obool)), _u11228), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11227), _u11229), _u11230))) | hBOOL(hAPP(hAPP(c_member(_u11227), skolem261(_u11230, _u11229, _u11228, _u11227)), _u11229)) )).
% 19.53/19.77 cnf(matrix-5505, plain, ( c_Equiv__Relations_Oequiv(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), c_Int_Ointrel) )).
% 19.53/19.77 cnf(matrix-5506, plain, ( ~c_Equiv__Relations_Oequiv(_u11231, _u11232, _u11233) | ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u11231, tc_HOL_Obool), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11231), _u11232), _u11233)) = _u11232) )).
% 19.53/19.77 cnf(matrix-5507, plain, ( ~c_Equiv__Relations_Oequiv(_u11234, _u11235, _u11236) | ~hBOOL(hAPP(hAPP(c_member(_u11234), _u11237), _u11235)) | hBOOL(hAPP(hAPP(c_member(_u11234), _u11237), hAPP(c_Relation_OImage(_u11234, _u11234, _u11236), hAPP(hAPP(c_Set_Oinsert(_u11234), _u11237), c_Orderings_Obot__class_Obot(tc_fun(_u11234, tc_HOL_Obool)))))) )).
% 19.53/19.77 cnf(matrix-5508, plain, ( ~c_Equiv__Relations_Oequiv(_u11238, _u11239, _u11240) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11238, tc_HOL_Obool)), _u11241), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11238), _u11239), _u11240))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11238, tc_HOL_Obool)), _u11242), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11238), _u11239), _u11240))) | ( _u11241 = _u11242) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11238, tc_HOL_Obool)), _u11241), _u11242) = c_Orderings_Obot__class_Obot(tc_fun(_u11238, tc_HOL_Obool))) )).
% 19.53/19.77 cnf(matrix-5509, plain, ( ~c_Equiv__Relations_Oequiv(_u11243, _u11244, _u11245) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11243, _u11243)), hAPP(hAPP(c_Product__Type_OPair(_u11243, _u11243), _u11246), _u11247)), _u11245)) | ( hAPP(c_Relation_OImage(_u11243, _u11243, _u11245), hAPP(hAPP(c_Set_Oinsert(_u11243), _u11246), c_Orderings_Obot__class_Obot(tc_fun(_u11243, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u11243, _u11243, _u11245), hAPP(hAPP(c_Set_Oinsert(_u11243), _u11247), c_Orderings_Obot__class_Obot(tc_fun(_u11243, tc_HOL_Obool))))) )).
% 19.53/19.77 cnf(matrix-5510, plain, ( ~c_Equiv__Relations_Oequiv(_u11248, _u11249, _u11250) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11248, tc_HOL_Obool)), _u11251), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11248), _u11249), _u11250))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11248, tc_HOL_Obool)), _u11252), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11248), _u11249), _u11250))) | ~hBOOL(hAPP(hAPP(c_member(_u11248), _u11253), _u11251)) | ~hBOOL(hAPP(hAPP(c_member(_u11248), _u11254), _u11252)) | ( _u11251 != _u11252) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11248, _u11248)), hAPP(hAPP(c_Product__Type_OPair(_u11248, _u11248), _u11253), _u11254)), _u11250)) )).
% 19.53/19.77 cnf(matrix-5511, plain, ( ~c_Equiv__Relations_Oequiv(_u11248, _u11249, _u11250) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11248, tc_HOL_Obool)), _u11251), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11248), _u11249), _u11250))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11248, tc_HOL_Obool)), _u11252), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11248), _u11249), _u11250))) | ~hBOOL(hAPP(hAPP(c_member(_u11248), _u11253), _u11251)) | ~hBOOL(hAPP(hAPP(c_member(_u11248), _u11254), _u11252)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11248, _u11248)), hAPP(hAPP(c_Product__Type_OPair(_u11248, _u11248), _u11253), _u11254)), _u11250)) | ( _u11251 = _u11252) )).
% 19.53/19.77 cnf(matrix-5512, plain, ( ~c_Equiv__Relations_Oequiv(_u11255, _u11256, _u11257) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11255, tc_HOL_Obool)), _u11258), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11255), _u11256), _u11257))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11255, tc_HOL_Obool)), _u11259), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11255), _u11256), _u11257))) | ~hBOOL(hAPP(hAPP(c_member(_u11255), _u11260), _u11258)) | ~hBOOL(hAPP(hAPP(c_member(_u11255), _u11261), _u11259)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11255, _u11255)), hAPP(hAPP(c_Product__Type_OPair(_u11255, _u11255), _u11260), _u11261)), _u11257)) | ( _u11258 = _u11259) )).
% 19.53/19.77 cnf(matrix-5513, plain, ( ( hAPP(c_Relation_OImage(_u11262, _u11262, _u11263), hAPP(hAPP(c_Set_Oinsert(_u11262), _u11264), c_Orderings_Obot__class_Obot(tc_fun(_u11262, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u11262, _u11262, _u11263), hAPP(hAPP(c_Set_Oinsert(_u11262), _u11265), c_Orderings_Obot__class_Obot(tc_fun(_u11262, tc_HOL_Obool))))) | ~c_Equiv__Relations_Oequiv(_u11262, _u11266, _u11263) | ~hBOOL(hAPP(hAPP(c_member(_u11262), _u11265), _u11266)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11262, _u11262)), hAPP(hAPP(c_Product__Type_OPair(_u11262, _u11262), _u11264), _u11265)), _u11263)) )).
% 19.53/19.77 cnf(matrix-5514, plain, ( ~c_Equiv__Relations_Oequiv(_u11267, _u11268, _u11269) | ~hBOOL(hAPP(hAPP(c_member(_u11267), _u11270), _u11268)) | ~hBOOL(hAPP(hAPP(c_member(_u11267), _u11271), _u11268)) | ( hAPP(c_Relation_OImage(_u11267, _u11267, _u11269), hAPP(hAPP(c_Set_Oinsert(_u11267), _u11270), c_Orderings_Obot__class_Obot(tc_fun(_u11267, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u11267, _u11267, _u11269), hAPP(hAPP(c_Set_Oinsert(_u11267), _u11271), c_Orderings_Obot__class_Obot(tc_fun(_u11267, tc_HOL_Obool))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11267, _u11267)), hAPP(hAPP(c_Product__Type_OPair(_u11267, _u11267), _u11270), _u11271)), _u11269)) )).
% 19.53/19.77 cnf(matrix-5515, plain, ( ~c_Equiv__Relations_Oequiv(_u11267, _u11268, _u11269) | ~hBOOL(hAPP(hAPP(c_member(_u11267), _u11270), _u11268)) | ~hBOOL(hAPP(hAPP(c_member(_u11267), _u11271), _u11268)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11267, _u11267)), hAPP(hAPP(c_Product__Type_OPair(_u11267, _u11267), _u11270), _u11271)), _u11269)) | ( hAPP(c_Relation_OImage(_u11267, _u11267, _u11269), hAPP(hAPP(c_Set_Oinsert(_u11267), _u11270), c_Orderings_Obot__class_Obot(tc_fun(_u11267, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u11267, _u11267, _u11269), hAPP(hAPP(c_Set_Oinsert(_u11267), _u11271), c_Orderings_Obot__class_Obot(tc_fun(_u11267, tc_HOL_Obool))))) )).
% 19.53/19.77 cnf(matrix-5516, plain, ( ~c_Equiv__Relations_Oequiv(_u11272, _u11273, _u11274) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11272, _u11272)), hAPP(hAPP(c_Product__Type_OPair(_u11272, _u11272), _u11275), _u11276)), _u11274)) | ( hAPP(c_Relation_OImage(_u11272, _u11272, _u11274), hAPP(hAPP(c_Set_Oinsert(_u11272), _u11275), c_Orderings_Obot__class_Obot(tc_fun(_u11272, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u11272, _u11272, _u11274), hAPP(hAPP(c_Set_Oinsert(_u11272), _u11276), c_Orderings_Obot__class_Obot(tc_fun(_u11272, tc_HOL_Obool))))) )).
% 19.53/19.77 cnf(matrix-5517, plain, ( ~c_Equiv__Relations_Oequiv(_u11272, _u11273, _u11274) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11272, _u11272)), hAPP(hAPP(c_Product__Type_OPair(_u11272, _u11272), _u11275), _u11276)), _u11274)) | hBOOL(hAPP(hAPP(c_member(_u11272), _u11275), _u11273)) )).
% 19.53/19.77 cnf(matrix-5518, plain, ( ~c_Equiv__Relations_Oequiv(_u11272, _u11273, _u11274) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11272, _u11272)), hAPP(hAPP(c_Product__Type_OPair(_u11272, _u11272), _u11275), _u11276)), _u11274)) | hBOOL(hAPP(hAPP(c_member(_u11272), _u11276), _u11273)) )).
% 19.53/19.77 cnf(matrix-5519, plain, ( ~c_Equiv__Relations_Oequiv(_u11272, _u11273, _u11274) | ( hAPP(c_Relation_OImage(_u11272, _u11272, _u11274), hAPP(hAPP(c_Set_Oinsert(_u11272), _u11275), c_Orderings_Obot__class_Obot(tc_fun(_u11272, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u11272, _u11272, _u11274), hAPP(hAPP(c_Set_Oinsert(_u11272), _u11276), c_Orderings_Obot__class_Obot(tc_fun(_u11272, tc_HOL_Obool))))) | ~hBOOL(hAPP(hAPP(c_member(_u11272), _u11275), _u11273)) | ~hBOOL(hAPP(hAPP(c_member(_u11272), _u11276), _u11273)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11272, _u11272)), hAPP(hAPP(c_Product__Type_OPair(_u11272, _u11272), _u11275), _u11276)), _u11274)) )).
% 19.53/19.77 cnf(matrix-5520, plain, ( ~c_Equiv__Relations_Oequiv(_u11277, _u11278, _u11279) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11277, _u11277)), hAPP(hAPP(c_Product__Type_OPair(_u11277, _u11277), _u11280), _u11281)), _u11279)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11277, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11277, _u11277, _u11279), hAPP(hAPP(c_Set_Oinsert(_u11277), _u11280), c_Orderings_Obot__class_Obot(tc_fun(_u11277, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u11277, _u11277, _u11279), hAPP(hAPP(c_Set_Oinsert(_u11277), _u11281), c_Orderings_Obot__class_Obot(tc_fun(_u11277, tc_HOL_Obool)))))) )).
% 19.53/19.77 cnf(matrix-5521, plain, ( ~c_Equiv__Relations_Oequiv(_u11282, _u11283, _u11284) | ~hBOOL(hAPP(hAPP(c_member(_u11282), _u11285), _u11283)) | ~hBOOL(hAPP(hAPP(c_member(_u11282), _u11286), _u11283)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11282), hAPP(hAPP(c_Set_Oinsert(_u11282), _u11285), c_Orderings_Obot__class_Obot(tc_fun(_u11282, tc_HOL_Obool)))), _u11284) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11282), hAPP(hAPP(c_Set_Oinsert(_u11282), _u11286), c_Orderings_Obot__class_Obot(tc_fun(_u11282, tc_HOL_Obool)))), _u11284)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11282, _u11282)), hAPP(hAPP(c_Product__Type_OPair(_u11282, _u11282), _u11285), _u11286)), _u11284)) )).
% 19.53/19.77 cnf(matrix-5522, plain, ( ~c_Equiv__Relations_Oequiv(_u11282, _u11283, _u11284) | ~hBOOL(hAPP(hAPP(c_member(_u11282), _u11285), _u11283)) | ~hBOOL(hAPP(hAPP(c_member(_u11282), _u11286), _u11283)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11282, _u11282)), hAPP(hAPP(c_Product__Type_OPair(_u11282, _u11282), _u11285), _u11286)), _u11284)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11282), hAPP(hAPP(c_Set_Oinsert(_u11282), _u11285), c_Orderings_Obot__class_Obot(tc_fun(_u11282, tc_HOL_Obool)))), _u11284) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11282), hAPP(hAPP(c_Set_Oinsert(_u11282), _u11286), c_Orderings_Obot__class_Obot(tc_fun(_u11282, tc_HOL_Obool)))), _u11284)) )).
% 19.53/19.77 cnf(matrix-5523, plain, ( ~c_Equiv__Relations_Oequiv(_u11287, _u11288, _u11289) | ~c_Equiv__Relations_Oequiv(_u11290, _u11291, _u11292) | ~c_Equiv__Relations_Ocongruent2(_u11287, _u11290, tc_fun(_u11293, tc_HOL_Obool), _u11289, _u11292, _u11294) | ~hBOOL(hAPP(hAPP(c_member(_u11287), _u11295), _u11288)) | ~hBOOL(hAPP(hAPP(c_member(_u11290), _u11296), _u11291)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11287, tc_fun(_u11293, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11287, _u11287, _u11289), hAPP(hAPP(c_Set_Oinsert(_u11287), _u11295), c_Orderings_Obot__class_Obot(tc_fun(_u11287, tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(_u11290, tc_fun(_u11293, tc_HOL_Obool)), tc_fun(_u11293, tc_HOL_Obool), _u11287), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11290, tc_fun(_u11293, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11290, _u11290, _u11292), hAPP(hAPP(c_Set_Oinsert(_u11290), _u11296), c_Orderings_Obot__class_Obot(tc_fun(_u11290, tc_HOL_Obool)))))), _u11294)) = hAPP(hAPP(_u11294, _u11295), _u11296)) )).
% 19.53/19.77 cnf(matrix-5524, plain, ( ~c_Equiv__Relations_Oequiv(_u11297, _u11298, _u11299) | ~c_Equiv__Relations_Ocongruent(_u11297, tc_fun(_u11300, tc_HOL_Obool), _u11299, _u11301) | ~hBOOL(hAPP(hAPP(c_member(_u11297), _u11302), _u11298)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11297, tc_fun(_u11300, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11297, _u11297, _u11299), hAPP(hAPP(c_Set_Oinsert(_u11297), _u11302), c_Orderings_Obot__class_Obot(tc_fun(_u11297, tc_HOL_Obool))))), _u11301) = hAPP(_u11301, _u11302)) )).
% 19.53/19.77 cnf(matrix-5525, plain, ( ~c_Equiv__Relations_Oequiv(_u11305, c_Orderings_Otop__class_Otop(tc_fun(_u11305, tc_HOL_Obool)), _u11307) | c_Equiv__Relations_Oequivp(_u11305, hAPP(hAPP(c_COMBC(_u11305, tc_fun(tc_prod(_u11305, _u11305), tc_HOL_Obool), tc_fun(_u11305, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11305, tc_fun(tc_fun(tc_prod(_u11305, _u11305), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11305, _u11305), tc_HOL_Obool), tc_fun(_u11305, tc_HOL_Obool)), _u11305), c_COMBC(_u11305, tc_fun(tc_prod(_u11305, _u11305), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11305, tc_prod(_u11305, _u11305)), tc_fun(_u11305, tc_fun(tc_fun(tc_prod(_u11305, _u11305), tc_HOL_Obool), tc_HOL_Obool)), _u11305), hAPP(c_COMBB(tc_prod(_u11305, _u11305), tc_fun(tc_fun(tc_prod(_u11305, _u11305), tc_HOL_Obool), tc_HOL_Obool), _u11305), c_member(tc_prod(_u11305, _u11305)))), c_Product__Type_OPair(_u11305, _u11305)))), _u11307)) )).
% 19.53/19.77 cnf(matrix-5526, plain, ( ~c_Equiv__Relations_Oequivp(_u11306, hAPP(hAPP(c_COMBC(_u11306, tc_fun(tc_prod(_u11306, _u11306), tc_HOL_Obool), tc_fun(_u11306, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11306, tc_fun(tc_fun(tc_prod(_u11306, _u11306), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11306, _u11306), tc_HOL_Obool), tc_fun(_u11306, tc_HOL_Obool)), _u11306), c_COMBC(_u11306, tc_fun(tc_prod(_u11306, _u11306), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11306, tc_prod(_u11306, _u11306)), tc_fun(_u11306, tc_fun(tc_fun(tc_prod(_u11306, _u11306), tc_HOL_Obool), tc_HOL_Obool)), _u11306), hAPP(c_COMBB(tc_prod(_u11306, _u11306), tc_fun(tc_fun(tc_prod(_u11306, _u11306), tc_HOL_Obool), tc_HOL_Obool), _u11306), c_member(tc_prod(_u11306, _u11306)))), c_Product__Type_OPair(_u11306, _u11306)))), _u11308)) | c_Equiv__Relations_Oequiv(_u11306, c_Orderings_Otop__class_Otop(tc_fun(_u11306, tc_HOL_Obool)), _u11308) )).
% 19.53/19.77 cnf(matrix-5527, plain, ( ~hBOOL(hAPP(hAPP(_u11310, _u11311), _u11312)) | ~hBOOL(hAPP(hAPP(_u11310, _u11312), _u11313)) | hBOOL(hAPP(hAPP(_u11310, _u11311), _u11313)) | ~c_Equiv__Relations_Oequivp(_u11309, _u11310) )).
% 19.53/19.77 cnf(matrix-5528, plain, ( ~hBOOL(hAPP(hAPP(_u11315, _u11316), _u11317)) | hBOOL(hAPP(hAPP(_u11315, _u11317), _u11316)) | ~c_Equiv__Relations_Oequivp(_u11314, _u11315) )).
% 19.53/19.77 cnf(matrix-5529, plain, ( hBOOL(hAPP(hAPP(_u11319, _u11320), _u11320)) | ~c_Equiv__Relations_Oequivp(_u11318, _u11319) )).
% 19.53/19.77 cnf(matrix-5530, plain, ( ~c_Equiv__Relations_Oequivp(_u11335, _u11337) | ~hBOOL(hAPP(hAPP(_u11337, _u11329), _u11327)) | ( hAPP(_u11337, _u11329) = hAPP(_u11337, _u11327)) )).
% 19.53/19.77 cnf(matrix-5531, plain, ( ~c_Equiv__Relations_Oequivp(_u11335, _u11337) | ( hAPP(_u11337, _u11330) != hAPP(_u11337, _u11328)) | hBOOL(hAPP(hAPP(_u11337, _u11330), _u11328)) )).
% 19.53/19.77 cnf(matrix-5532, plain, ( c_Equiv__Relations_Oequivp(_u11336, _u11338) | hBOOL(hAPP(hAPP(_u11338, skolem262(_u11338)), skolem263(_u11338))) | ( hAPP(_u11338, skolem264(_u11338)) = hAPP(_u11338, skolem265(_u11338))) )).
% 19.53/19.77 cnf(matrix-5533, plain, ( c_Equiv__Relations_Oequivp(_u11336, _u11338) | hBOOL(hAPP(hAPP(_u11338, skolem262(_u11338)), skolem263(_u11338))) | ~hBOOL(hAPP(hAPP(_u11338, skolem264(_u11338)), skolem265(_u11338))) )).
% 19.53/19.77 cnf(matrix-5534, plain, ( c_Equiv__Relations_Oequivp(_u11336, _u11338) | ( hAPP(_u11338, skolem262(_u11338)) != hAPP(_u11338, skolem263(_u11338))) | ( hAPP(_u11338, skolem264(_u11338)) = hAPP(_u11338, skolem265(_u11338))) )).
% 19.53/19.77 cnf(matrix-5535, plain, ( c_Equiv__Relations_Oequivp(_u11336, _u11338) | ( hAPP(_u11338, skolem262(_u11338)) != hAPP(_u11338, skolem263(_u11338))) | ~hBOOL(hAPP(hAPP(_u11338, skolem264(_u11338)), skolem265(_u11338))) )).
% 19.53/19.77 cnf(matrix-5536, plain, ( c_Equiv__Relations_Oequivp(_u11339, c_fequal) )).
% 19.53/19.77 cnf(matrix-5537, plain, ( ~c_Equiv__Relations_Oequiv(_u11340, _u11341, _u11342) | ~c_Equiv__Relations_Ocongruent2(_u11340, _u11343, _u11344, _u11342, _u11345, _u11346) | ~hBOOL(hAPP(hAPP(c_member(_u11340), _u11347), _u11341)) | c_Equiv__Relations_Ocongruent(_u11343, _u11344, _u11345, hAPP(_u11346, _u11347)) )).
% 19.53/19.77 cnf(matrix-5538, plain, ( ~c_Equiv__Relations_Ocongruent2(_u11348, _u11349, _u11350, _u11351, _u11352, _u11353) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11348, _u11348)), hAPP(hAPP(c_Product__Type_OPair(_u11348, _u11348), _u11354), _u11355)), _u11351)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11349, _u11349)), hAPP(hAPP(c_Product__Type_OPair(_u11349, _u11349), _u11356), _u11357)), _u11352)) | ( hAPP(hAPP(_u11353, _u11354), _u11356) = hAPP(hAPP(_u11353, _u11355), _u11357)) )).
% 19.53/19.77 cnf(matrix-5539, plain, ( ~c_Equiv__Relations_Ocongruent(_u11358, _u11359, _u11360, _u11361) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11358, _u11358)), hAPP(hAPP(c_Product__Type_OPair(_u11358, _u11358), _u11362), _u11363)), _u11360)) | ( hAPP(_u11361, _u11362) = hAPP(_u11361, _u11363)) )).
% 19.53/19.77 cnf(matrix-5540, plain, ( ~c_Equiv__Relations_Oequiv(_u11364, _u11365, _u11366) | ~c_Equiv__Relations_Oequiv(_u11367, _u11368, _u11369) | ~c_Equiv__Relations_Ocongruent2(_u11364, _u11367, tc_fun(_u11370, tc_HOL_Obool), _u11366, _u11369, _u11371) | ~hBOOL(hAPP(hAPP(c_member(_u11367), _u11372), _u11368)) | c_Equiv__Relations_Ocongruent(_u11364, tc_fun(_u11370, tc_HOL_Obool), _u11366, hAPP(hAPP(c_COMBB(tc_fun(_u11367, tc_fun(_u11370, tc_HOL_Obool)), tc_fun(_u11370, tc_HOL_Obool), _u11364), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11367, tc_fun(_u11370, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11367, _u11367, _u11369), hAPP(hAPP(c_Set_Oinsert(_u11367), _u11372), c_Orderings_Obot__class_Obot(tc_fun(_u11367, tc_HOL_Obool)))))), _u11371)) )).
% 19.53/19.77 cnf(matrix-5541, plain, ( ~c_Equiv__Relations_Oequiv(_u11375, _u11376, _u11377) | ~c_Equiv__Relations_Ocongruent(_u11375, tc_fun(_u11378, tc_HOL_Obool), _u11377, _u11379) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11375, tc_fun(_u11378, tc_HOL_Obool)), _u11380), _u11379) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11375, tc_fun(_u11378, tc_HOL_Obool)), _u11381), _u11379)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11375, tc_HOL_Obool)), _u11380), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11375), _u11376), _u11377))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11375, tc_HOL_Obool)), _u11381), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11375), _u11376), _u11377))) | ( _u11380 = _u11381) | hBOOL(hAPP(hAPP(c_member(_u11375), skolem266(_u11381, _u11380, _u11379, _u11378, _u11377, _u11376, _u11375)), _u11376)) )).
% 19.53/19.77 cnf(matrix-5542, plain, ( ~c_Equiv__Relations_Oequiv(_u11375, _u11376, _u11377) | ~c_Equiv__Relations_Ocongruent(_u11375, tc_fun(_u11378, tc_HOL_Obool), _u11377, _u11379) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11375, tc_fun(_u11378, tc_HOL_Obool)), _u11380), _u11379) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11375, tc_fun(_u11378, tc_HOL_Obool)), _u11381), _u11379)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11375, tc_HOL_Obool)), _u11380), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11375), _u11376), _u11377))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11375, tc_HOL_Obool)), _u11381), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11375), _u11376), _u11377))) | ( _u11380 = _u11381) | hBOOL(hAPP(hAPP(c_member(_u11375), skolem267(_u11381, _u11380, _u11379, _u11378, _u11377, _u11376, _u11375)), _u11376)) )).
% 19.53/19.77 cnf(matrix-5543, plain, ( ~c_Equiv__Relations_Oequiv(_u11375, _u11376, _u11377) | ~c_Equiv__Relations_Ocongruent(_u11375, tc_fun(_u11378, tc_HOL_Obool), _u11377, _u11379) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11375, tc_fun(_u11378, tc_HOL_Obool)), _u11380), _u11379) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11375, tc_fun(_u11378, tc_HOL_Obool)), _u11381), _u11379)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11375, tc_HOL_Obool)), _u11380), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11375), _u11376), _u11377))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11375, tc_HOL_Obool)), _u11381), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11375), _u11376), _u11377))) | ( _u11380 = _u11381) | ( hAPP(_u11379, skolem266(_u11381, _u11380, _u11379, _u11378, _u11377, _u11376, _u11375)) = hAPP(_u11379, skolem267(_u11381, _u11380, _u11379, _u11378, _u11377, _u11376, _u11375))) )).
% 19.53/19.77 cnf(matrix-5544, plain, ( ~c_Equiv__Relations_Oequiv(_u11375, _u11376, _u11377) | ~c_Equiv__Relations_Ocongruent(_u11375, tc_fun(_u11378, tc_HOL_Obool), _u11377, _u11379) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11375, tc_fun(_u11378, tc_HOL_Obool)), _u11380), _u11379) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11375, tc_fun(_u11378, tc_HOL_Obool)), _u11381), _u11379)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11375, tc_HOL_Obool)), _u11380), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11375), _u11376), _u11377))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11375, tc_HOL_Obool)), _u11381), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11375), _u11376), _u11377))) | ( _u11380 = _u11381) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11375, _u11375)), hAPP(hAPP(c_Product__Type_OPair(_u11375, _u11375), skolem266(_u11381, _u11380, _u11379, _u11378, _u11377, _u11376, _u11375)), skolem267(_u11381, _u11380, _u11379, _u11378, _u11377, _u11376, _u11375))), _u11377)) )).
% 19.53/19.78 cnf(matrix-5545, plain, ( ~c_Equiv__Relations_Oequiv(_u11384, _u11385, _u11386) | ~c_Equiv__Relations_Oequiv(_u11387, _u11388, _u11389) | ~c_Equiv__Relations_Ocongruent2(_u11384, _u11387, tc_fun(_u11390, tc_HOL_Obool), _u11386, _u11389, _u11391) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11384, tc_HOL_Obool)), _u11392), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11384), _u11385), _u11386))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11387, tc_HOL_Obool)), _u11393), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11387), _u11388), _u11389))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11390, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11384, tc_fun(_u11390, tc_HOL_Obool)), _u11392), hAPP(hAPP(c_COMBB(tc_fun(_u11387, tc_fun(_u11390, tc_HOL_Obool)), tc_fun(_u11390, tc_HOL_Obool), _u11384), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11387, tc_fun(_u11390, tc_HOL_Obool)), _u11393)), _u11391))), _u11394)) | hBOOL(hAPP(hAPP(c_member(_u11384), skolem268(_u11394, _u11393, _u11392, _u11391, _u11390, _u11389, _u11388, _u11387, _u11386, _u11385, _u11384)), _u11385)) )).
% 19.53/19.78 cnf(matrix-5546, plain, ( ~c_Equiv__Relations_Oequiv(_u11384, _u11385, _u11386) | ~c_Equiv__Relations_Oequiv(_u11387, _u11388, _u11389) | ~c_Equiv__Relations_Ocongruent2(_u11384, _u11387, tc_fun(_u11390, tc_HOL_Obool), _u11386, _u11389, _u11391) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11384, tc_HOL_Obool)), _u11392), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11384), _u11385), _u11386))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11387, tc_HOL_Obool)), _u11393), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11387), _u11388), _u11389))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11390, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11384, tc_fun(_u11390, tc_HOL_Obool)), _u11392), hAPP(hAPP(c_COMBB(tc_fun(_u11387, tc_fun(_u11390, tc_HOL_Obool)), tc_fun(_u11390, tc_HOL_Obool), _u11384), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11387, tc_fun(_u11390, tc_HOL_Obool)), _u11393)), _u11391))), _u11394)) | hBOOL(hAPP(hAPP(c_member(_u11387), skolem269(_u11394, _u11393, _u11392, _u11391, _u11390, _u11389, _u11388, _u11387, _u11386, _u11385, _u11384)), _u11388)) )).
% 19.53/19.78 cnf(matrix-5547, plain, ( ~c_Equiv__Relations_Oequiv(_u11384, _u11385, _u11386) | ~c_Equiv__Relations_Oequiv(_u11387, _u11388, _u11389) | ~c_Equiv__Relations_Ocongruent2(_u11384, _u11387, tc_fun(_u11390, tc_HOL_Obool), _u11386, _u11389, _u11391) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11384, tc_HOL_Obool)), _u11392), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11384), _u11385), _u11386))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11387, tc_HOL_Obool)), _u11393), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11387), _u11388), _u11389))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11390, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11384, tc_fun(_u11390, tc_HOL_Obool)), _u11392), hAPP(hAPP(c_COMBB(tc_fun(_u11387, tc_fun(_u11390, tc_HOL_Obool)), tc_fun(_u11390, tc_HOL_Obool), _u11384), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11387, tc_fun(_u11390, tc_HOL_Obool)), _u11393)), _u11391))), _u11394)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11390, tc_HOL_Obool)), hAPP(hAPP(_u11391, skolem268(_u11394, _u11393, _u11392, _u11391, _u11390, _u11389, _u11388, _u11387, _u11386, _u11385, _u11384)), skolem269(_u11394, _u11393, _u11392, _u11391, _u11390, _u11389, _u11388, _u11387, _u11386, _u11385, _u11384))), _u11394)) )).
% 19.53/19.78 cnf(matrix-5548, plain, ( ~c_Equiv__Relations_Oequiv(_u11396, _u11397, _u11398) | ~c_Equiv__Relations_Ocongruent(_u11396, tc_fun(_u11399, tc_HOL_Obool), _u11398, _u11400) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11396, tc_HOL_Obool)), _u11401), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11396), _u11397), _u11398))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11399, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11396, tc_fun(_u11399, tc_HOL_Obool)), _u11401), _u11400)), _u11402)) | hBOOL(hAPP(hAPP(c_member(_u11396), skolem270(_u11402, _u11401, _u11400, _u11399, _u11398, _u11397, _u11396)), _u11397)) )).
% 19.53/19.78 cnf(matrix-5549, plain, ( ~c_Equiv__Relations_Oequiv(_u11396, _u11397, _u11398) | ~c_Equiv__Relations_Ocongruent(_u11396, tc_fun(_u11399, tc_HOL_Obool), _u11398, _u11400) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11396, tc_HOL_Obool)), _u11401), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11396), _u11397), _u11398))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11399, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11396, tc_fun(_u11399, tc_HOL_Obool)), _u11401), _u11400)), _u11402)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11399, tc_HOL_Obool)), hAPP(_u11400, skolem270(_u11402, _u11401, _u11400, _u11399, _u11398, _u11397, _u11396))), _u11402)) )).
% 19.53/19.78 cnf(matrix-5550, plain, ( ( c_Int_OInteg = hAPP(hAPP(c_Equiv__Relations_Oquotient(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))), c_Int_Ointrel)) )).
% 19.53/19.78 cnf(matrix-5551, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11403), _u11404)) | ~c_Fun_Oinj__on(_u11403, tc_fun(tc_fun(_u11403, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11403, tc_fun(tc_prod(_u11403, _u11403), tc_HOL_Obool), tc_fun(tc_fun(_u11403, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11403, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u11403, _u11403), tc_HOL_Obool), tc_fun(tc_fun(_u11403, tc_HOL_Obool), tc_HOL_Obool)), _u11403), c_Equiv__Relations_Oquotient(_u11403)), hAPP(hAPP(c_COMBC(_u11403, tc_fun(_u11403, tc_HOL_Obool), tc_fun(_u11403, tc_HOL_Obool)), c_Set_Oinsert(_u11403)), c_Orderings_Obot__class_Obot(tc_fun(_u11403, tc_HOL_Obool))))), _u11405), _u11404) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u11403, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11403), _u11404), _u11405)) = hAPP(c_Finite__Set_Ocard(_u11403), _u11404)) )).
% 19.53/19.78 cnf(matrix-5552, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u11409, hAPP(hAPP(c_COMBC(_u11409, tc_fun(tc_prod(_u11409, _u11409), tc_HOL_Obool), tc_fun(_u11409, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11409, tc_fun(tc_fun(tc_prod(_u11409, _u11409), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11409, _u11409), tc_HOL_Obool), tc_fun(_u11409, tc_HOL_Obool)), _u11409), c_COMBC(_u11409, tc_fun(tc_prod(_u11409, _u11409), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11409, tc_prod(_u11409, _u11409)), tc_fun(_u11409, tc_fun(tc_fun(tc_prod(_u11409, _u11409), tc_HOL_Obool), tc_HOL_Obool)), _u11409), hAPP(c_COMBB(tc_prod(_u11409, _u11409), tc_fun(tc_fun(tc_prod(_u11409, _u11409), tc_HOL_Obool), tc_HOL_Obool), _u11409), c_member(tc_prod(_u11409, _u11409)))), c_Product__Type_OPair(_u11409, _u11409)))), _u11411)), _u11413)) | hBOOL(hAPP(hAPP(c_member(_u11409), _u11413), c_Wellfounded_Oacc(_u11409, _u11411))) )).
% 19.53/19.78 cnf(matrix-5553, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11410), _u11414), c_Wellfounded_Oacc(_u11410, _u11412))) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u11410, hAPP(hAPP(c_COMBC(_u11410, tc_fun(tc_prod(_u11410, _u11410), tc_HOL_Obool), tc_fun(_u11410, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11410, tc_fun(tc_fun(tc_prod(_u11410, _u11410), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11410, _u11410), tc_HOL_Obool), tc_fun(_u11410, tc_HOL_Obool)), _u11410), c_COMBC(_u11410, tc_fun(tc_prod(_u11410, _u11410), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11410, tc_prod(_u11410, _u11410)), tc_fun(_u11410, tc_fun(tc_fun(tc_prod(_u11410, _u11410), tc_HOL_Obool), tc_HOL_Obool)), _u11410), hAPP(c_COMBB(tc_prod(_u11410, _u11410), tc_fun(tc_fun(tc_prod(_u11410, _u11410), tc_HOL_Obool), tc_HOL_Obool), _u11410), c_member(tc_prod(_u11410, _u11410)))), c_Product__Type_OPair(_u11410, _u11410)))), _u11412)), _u11414)) )).
% 19.53/19.78 cnf(matrix-5554, plain, ( c_Fun_Oinj__on(_u11415, _u11416, _u11417, c_Orderings_Obot__class_Obot(tc_fun(_u11415, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5555, plain, ( ~class_Groups_Oordered__ab__group__add(_u11418) | c_Fun_Oinj__on(_u11418, _u11418, c_Groups_Ouminus__class_Ouminus(_u11418), _u11419) )).
% 19.53/19.78 cnf(matrix-5556, plain, ( ~c_Fun_Oinj__on(_u11428, _u11430, _u11432, _u11434) | ~hBOOL(hAPP(hAPP(c_member(_u11428), _u11421), _u11434)) | ~hBOOL(hAPP(hAPP(c_member(_u11428), _u11420), _u11434)) | ( hAPP(_u11432, _u11421) != hAPP(_u11432, _u11420)) | ( _u11421 = _u11420) )).
% 19.53/19.78 cnf(matrix-5557, plain, ( c_Fun_Oinj__on(_u11429, _u11431, _u11433, _u11435) | hBOOL(hAPP(hAPP(c_member(_u11429), skolem271(_u11435, _u11433, _u11431, _u11429)), _u11435)) )).
% 19.53/19.78 cnf(matrix-5558, plain, ( c_Fun_Oinj__on(_u11429, _u11431, _u11433, _u11435) | hBOOL(hAPP(hAPP(c_member(_u11429), skolem272(_u11435, _u11433, _u11431, _u11429)), _u11435)) )).
% 19.53/19.78 cnf(matrix-5559, plain, ( c_Fun_Oinj__on(_u11429, _u11431, _u11433, _u11435) | ( hAPP(_u11433, skolem271(_u11435, _u11433, _u11431, _u11429)) = hAPP(_u11433, skolem272(_u11435, _u11433, _u11431, _u11429))) )).
% 19.53/19.78 cnf(matrix-5560, plain, ( c_Fun_Oinj__on(_u11429, _u11431, _u11433, _u11435) | ( skolem271(_u11435, _u11433, _u11431, _u11429) != skolem272(_u11435, _u11433, _u11431, _u11429)) )).
% 19.53/19.78 cnf(matrix-5561, plain, ( c_Fun_Oinj__on(_u11436, _u11436, c_COMBI(_u11436), _u11437) )).
% 19.53/19.78 cnf(matrix-5562, plain, ( ~c_Fun_Oinj__on(_u11438, _u11439, _u11440, _u11441) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11438, tc_HOL_Obool)), _u11442), _u11441)) | c_Fun_Oinj__on(_u11438, _u11439, _u11440, _u11442) )).
% 19.53/19.78 cnf(matrix-5563, plain, ( ~c_Fun_Oinj__on(_u11443, _u11444, _u11445, _u11446) | ~c_Fun_Oinj__on(_u11443, _u11444, _u11445, _u11447) | c_Fun_Oinj__on(_u11443, _u11444, _u11445, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11443, tc_HOL_Obool)), _u11446), _u11447)) )).
% 19.53/19.78 cnf(matrix-5564, plain, ( ~c_Fun_Oinj__on(_u11448, _u11449, _u11450, _u11451) | c_Fun_Oinj__on(_u11448, _u11449, _u11450, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11448, tc_HOL_Obool)), _u11451), _u11452)) )).
% 19.53/19.78 cnf(matrix-5565, plain, ( ~c_Fun_Oinj__on(_u11453, _u11454, _u11455, _u11456) | ( hAPP(_u11455, _u11457) != hAPP(_u11455, _u11458)) | ~hBOOL(hAPP(hAPP(c_member(_u11453), _u11457), _u11456)) | ~hBOOL(hAPP(hAPP(c_member(_u11453), _u11458), _u11456)) | ( _u11457 = _u11458) )).
% 19.53/19.78 cnf(matrix-5566, plain, ( ~c_Fun_Oinj__on(_u11459, _u11460, _u11461, _u11462) | ~hBOOL(hAPP(hAPP(c_member(_u11459), _u11463), _u11462)) | ~hBOOL(hAPP(hAPP(c_member(_u11459), _u11464), _u11462)) | ( hAPP(_u11461, _u11463) != hAPP(_u11461, _u11464)) | ( _u11463 = _u11464) )).
% 19.53/19.78 cnf(matrix-5567, plain, ( ~c_Fun_Oinj__on(_u11459, _u11460, _u11461, _u11462) | ~hBOOL(hAPP(hAPP(c_member(_u11459), _u11463), _u11462)) | ~hBOOL(hAPP(hAPP(c_member(_u11459), _u11464), _u11462)) | ( _u11463 != _u11464) | ( hAPP(_u11461, _u11463) = hAPP(_u11461, _u11464)) )).
% 19.53/19.78 cnf(matrix-5568, plain, ( ~c_Fun_Oinj__on(_u11465, _u11466, _u11467, _u11468) | ( _u11469 = _u11470) | ~hBOOL(hAPP(hAPP(c_member(_u11465), _u11469), _u11468)) | ~hBOOL(hAPP(hAPP(c_member(_u11465), _u11470), _u11468)) | ( hAPP(_u11467, _u11469) != hAPP(_u11467, _u11470)) )).
% 19.53/19.78 cnf(matrix-5569, plain, ( ~c_Fun_Oinj__on(_u11471, _u11472, _u11473, c_Orderings_Otop__class_Otop(tc_fun(_u11471, tc_HOL_Obool))) | c_Fun_Oinj__on(_u11471, tc_fun(_u11474, _u11472), hAPP(hAPP(c_COMBB(_u11472, tc_fun(_u11474, _u11472), _u11471), c_COMBK(_u11472, _u11474)), _u11473), c_Orderings_Otop__class_Otop(tc_fun(_u11471, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5570, plain, ( ~c_Fun_Oinj__on(_u11475, _u11476, _u11477, c_Orderings_Otop__class_Otop(tc_fun(_u11475, tc_HOL_Obool))) | ( hAPP(_u11477, _u11478) != hAPP(_u11477, _u11479)) | ( _u11478 = _u11479) )).
% 19.53/19.78 cnf(matrix-5571, plain, ( ~c_Fun_Oinj__on(_u11475, _u11476, _u11477, c_Orderings_Otop__class_Otop(tc_fun(_u11475, tc_HOL_Obool))) | ( _u11478 != _u11479) | ( hAPP(_u11477, _u11478) = hAPP(_u11477, _u11479)) )).
% 19.53/19.78 cnf(matrix-5572, plain, ( ( hAPP(_u11482, _u11483) != hAPP(_u11482, _u11484)) | ( _u11483 = _u11484) | ~c_Fun_Oinj__on(_u11480, _u11481, _u11482, c_Orderings_Otop__class_Otop(tc_fun(_u11480, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5573, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11485), hAPP(c_Set_Oimage(_u11486, _u11485, _u11487), _u11488))) | ~c_Fun_Oinj__on(_u11486, _u11485, _u11487, _u11488) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11486), _u11488)) )).
% 19.53/19.78 cnf(matrix-5574, plain, ( ~c_Fun_Oinj__on(_u11489, _u11490, _u11491, c_Orderings_Otop__class_Otop(tc_fun(_u11489, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11489, _u11490, _u11491), _u11492) != hAPP(c_Set_Oimage(_u11489, _u11490, _u11491), _u11493)) | ( _u11492 = _u11493) )).
% 19.53/19.78 cnf(matrix-5575, plain, ( ~c_Fun_Oinj__on(_u11489, _u11490, _u11491, c_Orderings_Otop__class_Otop(tc_fun(_u11489, tc_HOL_Obool))) | ( _u11492 != _u11493) | ( hAPP(c_Set_Oimage(_u11489, _u11490, _u11491), _u11492) = hAPP(c_Set_Oimage(_u11489, _u11490, _u11491), _u11493)) )).
% 19.53/19.78 cnf(matrix-5576, plain, ( ~c_Fun_Oinj__on(_u11494, _u11495, _u11496, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11494, tc_HOL_Obool)), _u11497), _u11498)) | ( hAPP(c_Set_Oimage(_u11494, _u11495, _u11496), _u11497) != hAPP(c_Set_Oimage(_u11494, _u11495, _u11496), _u11498)) | ( _u11497 = _u11498) )).
% 19.53/19.78 cnf(matrix-5577, plain, ( ~c_Fun_Oinj__on(_u11494, _u11495, _u11496, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11494, tc_HOL_Obool)), _u11497), _u11498)) | ( _u11497 != _u11498) | ( hAPP(c_Set_Oimage(_u11494, _u11495, _u11496), _u11497) = hAPP(c_Set_Oimage(_u11494, _u11495, _u11496), _u11498)) )).
% 19.53/19.78 cnf(matrix-5578, plain, ( ~c_Fun_Oinj__on(_u11499, _u11500, _u11501, _u11502) | ( hAPP(c_Finite__Set_Ocard(_u11500), hAPP(c_Set_Oimage(_u11499, _u11500, _u11501), _u11502)) = hAPP(c_Finite__Set_Ocard(_u11499), _u11502)) )).
% 19.53/19.78 cnf(matrix-5579, plain, ( ~c_Fun_Oinj__on(_u11503, _u11504, _u11505, _u11506) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11503, tc_HOL_Obool)), _u11507), _u11506)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11504, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11503, _u11504, _u11505), _u11507)), hAPP(c_Set_Oimage(_u11503, _u11504, _u11505), _u11506))) )).
% 19.53/19.78 cnf(matrix-5580, plain, ( ~c_Fun_Oinj__on(_u11508, _u11509, _u11510, c_Orderings_Otop__class_Otop(tc_fun(_u11508, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u11509), hAPP(_u11510, _u11511)), hAPP(c_Set_Oimage(_u11508, _u11509, _u11510), _u11512))) | hBOOL(hAPP(hAPP(c_member(_u11508), _u11511), _u11512)) )).
% 19.53/19.78 cnf(matrix-5581, plain, ( ~c_Fun_Oinj__on(_u11508, _u11509, _u11510, c_Orderings_Otop__class_Otop(tc_fun(_u11508, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u11508), _u11511), _u11512)) | hBOOL(hAPP(hAPP(c_member(_u11509), hAPP(_u11510, _u11511)), hAPP(c_Set_Oimage(_u11508, _u11509, _u11510), _u11512))) )).
% 19.53/19.78 cnf(matrix-5582, plain, ( ~c_Fun_Oinj__on(_u11517, _u11518, _u11519, c_Orderings_Otop__class_Otop(tc_fun(_u11517, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u11518), _u11520), hAPP(c_Set_Oimage(_u11517, _u11518, _u11519), c_Orderings_Otop__class_Otop(tc_fun(_u11517, tc_HOL_Obool))))) | ( _u11520 = hAPP(_u11519, skolem273(_u11520, _u11519, _u11518, _u11517))) )).
% 19.53/19.78 cnf(matrix-5583, plain, ( ~c_Fun_Oinj__on(_u11517, _u11518, _u11519, c_Orderings_Otop__class_Otop(tc_fun(_u11517, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u11518), _u11520), hAPP(c_Set_Oimage(_u11517, _u11518, _u11519), c_Orderings_Otop__class_Otop(tc_fun(_u11517, tc_HOL_Obool))))) | ( _u11520 != hAPP(_u11519, _u11513)) | ( _u11513 = skolem273(_u11520, _u11519, _u11518, _u11517)) )).
% 19.53/19.78 cnf(matrix-5584, plain, ( ~c_Fun_Oinj__on(_u11517, _u11518, _u11519, c_Orderings_Otop__class_Otop(tc_fun(_u11517, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u11518), _u11520), hAPP(c_Set_Oimage(_u11517, _u11518, _u11519), c_Orderings_Otop__class_Otop(tc_fun(_u11517, tc_HOL_Obool))))) | ( _u11520 != hAPP(_u11519, _u11516)) | ( _u11520 = hAPP(_u11519, skolem274(_u11520, _u11519, _u11518, _u11517, _u11516))) )).
% 19.53/19.78 cnf(matrix-5585, plain, ( ~c_Fun_Oinj__on(_u11517, _u11518, _u11519, c_Orderings_Otop__class_Otop(tc_fun(_u11517, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u11518), _u11520), hAPP(c_Set_Oimage(_u11517, _u11518, _u11519), c_Orderings_Otop__class_Otop(tc_fun(_u11517, tc_HOL_Obool))))) | ( _u11520 != hAPP(_u11519, _u11516)) | ( skolem274(_u11520, _u11519, _u11518, _u11517, _u11516) != _u11516) )).
% 19.53/19.78 cnf(matrix-5586, plain, ( ( _u11525 = c_Orderings_Obot__class_Obot(tc_fun(_u11526, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u11526, _u11527, _u11521, _u11525) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11527, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11526, _u11527, _u11521), _u11525)), _u11528)) | ( hAPP(c_Set_Oimage(_u11527, _u11526, skolem275(_u11528, _u11527, _u11526, _u11525)), _u11528) = _u11525) )).
% 19.53/19.78 cnf(matrix-5587, plain, ( ( _u11525 = c_Orderings_Obot__class_Obot(tc_fun(_u11526, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11527, _u11526, _u11523), _u11528) != _u11525) | c_Fun_Oinj__on(_u11526, _u11527, skolem276(_u11528, _u11527, _u11526, _u11525), _u11525) )).
% 19.53/19.78 cnf(matrix-5588, plain, ( ( _u11525 = c_Orderings_Obot__class_Obot(tc_fun(_u11526, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11527, _u11526, _u11523), _u11528) != _u11525) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11527, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11526, _u11527, skolem276(_u11528, _u11527, _u11526, _u11525)), _u11525)), _u11528)) )).
% 19.53/19.78 cnf(matrix-5589, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11529), _u11530)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11529, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11529, _u11529, _u11531), _u11530)), _u11530)) | ~c_Fun_Oinj__on(_u11529, _u11529, _u11531, _u11530) | ( hAPP(c_Set_Oimage(_u11529, _u11529, _u11531), _u11530) = _u11530) )).
% 19.53/19.78 cnf(matrix-5590, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11532), _u11533)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11532, tc_HOL_Obool)), _u11533), hAPP(c_Set_Oimage(_u11532, _u11532, _u11534), _u11533))) | c_Fun_Oinj__on(_u11532, _u11532, _u11534, _u11533) )).
% 19.53/19.78 cnf(matrix-5591, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11535), c_Orderings_Otop__class_Otop(tc_fun(_u11535, tc_HOL_Obool)))) | ( hAPP(c_Set_Oimage(_u11535, _u11535, _u11536), c_Orderings_Otop__class_Otop(tc_fun(_u11535, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u11535, tc_HOL_Obool))) | c_Fun_Oinj__on(_u11535, _u11535, _u11536, c_Orderings_Otop__class_Otop(tc_fun(_u11535, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5592, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11537), c_Orderings_Otop__class_Otop(tc_fun(_u11537, tc_HOL_Obool)))) | ~c_Fun_Oinj__on(_u11537, _u11537, _u11538, c_Orderings_Otop__class_Otop(tc_fun(_u11537, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11537, _u11537, _u11538), c_Orderings_Otop__class_Otop(tc_fun(_u11537, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u11537, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5593, plain, ( ~c_Fun_Oinj__on(_u11539, _u11540, _u11541, c_Orderings_Otop__class_Otop(tc_fun(_u11539, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11540, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11539, _u11540, _u11541), _u11542)), hAPP(c_Set_Oimage(_u11539, _u11540, _u11541), _u11543))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11539, tc_HOL_Obool)), _u11542), _u11543)) )).
% 19.53/19.78 cnf(matrix-5594, plain, ( ~c_Fun_Oinj__on(_u11539, _u11540, _u11541, c_Orderings_Otop__class_Otop(tc_fun(_u11539, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11539, tc_HOL_Obool)), _u11542), _u11543)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11540, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11539, _u11540, _u11541), _u11542)), hAPP(c_Set_Oimage(_u11539, _u11540, _u11541), _u11543))) )).
% 19.53/19.78 cnf(matrix-5595, plain, ( ~c_Fun_Oinj__on(_u11544, _u11545, _u11546, _u11547) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11544, tc_HOL_Obool)), _u11548), _u11547)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11544, tc_HOL_Obool)), _u11549), _u11547)) | ( hAPP(c_Set_Oimage(_u11544, _u11545, _u11546), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11544, tc_HOL_Obool)), _u11548), _u11549)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11545, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11544, _u11545, _u11546), _u11548)), hAPP(c_Set_Oimage(_u11544, _u11545, _u11546), _u11549))) )).
% 19.53/19.78 cnf(matrix-5596, plain, ( ~c_Fun_Oinj__on(_u11550, _u11551, _u11552, c_Orderings_Otop__class_Otop(tc_fun(_u11550, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11550, _u11551, _u11552), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11550, tc_HOL_Obool)), _u11553), _u11554)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11551, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11550, _u11551, _u11552), _u11553)), hAPP(c_Set_Oimage(_u11550, _u11551, _u11552), _u11554))) )).
% 19.53/19.78 cnf(matrix-5597, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11555), _u11556)) | ( hAPP(c_Finite__Set_Ocard(_u11557), hAPP(c_Set_Oimage(_u11555, _u11557, _u11558), _u11556)) != hAPP(c_Finite__Set_Ocard(_u11555), _u11556)) | c_Fun_Oinj__on(_u11555, _u11557, _u11558, _u11556) )).
% 19.53/19.78 cnf(matrix-5598, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11559), _u11560)) | ~c_Fun_Oinj__on(_u11559, _u11561, _u11562, _u11560) | ( hAPP(c_Finite__Set_Ocard(_u11561), hAPP(c_Set_Oimage(_u11559, _u11561, _u11562), _u11560)) = hAPP(c_Finite__Set_Ocard(_u11559), _u11560)) )).
% 19.53/19.78 cnf(matrix-5599, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11559), _u11560)) | ( hAPP(c_Finite__Set_Ocard(_u11561), hAPP(c_Set_Oimage(_u11559, _u11561, _u11562), _u11560)) != hAPP(c_Finite__Set_Ocard(_u11559), _u11560)) | c_Fun_Oinj__on(_u11559, _u11561, _u11562, _u11560) )).
% 19.53/19.78 cnf(matrix-5600, plain, ( ~c_Fun_Oinj__on(_u11563, _u11564, _u11565, _u11566) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11563, tc_HOL_Obool)), _u11567), _u11566)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11563, tc_HOL_Obool)), _u11568), _u11566)) | ( hAPP(c_Set_Oimage(_u11563, _u11564, _u11565), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11563, tc_HOL_Obool)), _u11567), _u11568)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11564, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11563, _u11564, _u11565), _u11567)), hAPP(c_Set_Oimage(_u11563, _u11564, _u11565), _u11568))) )).
% 19.53/19.78 cnf(matrix-5601, plain, ( ~c_Fun_Oinj__on(_u11569, _u11570, _u11571, c_Orderings_Otop__class_Otop(tc_fun(_u11569, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11569, _u11570, _u11571), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11569, tc_HOL_Obool)), _u11572), _u11573)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11570, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11569, _u11570, _u11571), _u11572)), hAPP(c_Set_Oimage(_u11569, _u11570, _u11571), _u11573))) )).
% 19.53/19.78 cnf(matrix-5602, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u11574), hAPP(c_Set_Oimage(_u11575, _u11574, _u11576), _u11577))), hAPP(c_Finite__Set_Ocard(_u11575), _u11577))) | ~c_Fun_Oinj__on(_u11575, _u11574, _u11576, _u11577) )).
% 19.53/19.78 cnf(matrix-5603, plain, ( ~c_Fun_Oinj__on(_u11578, _u11579, _u11580, _u11581) | hBOOL(hAPP(hAPP(c_member(_u11579), _u11582), hAPP(c_Set_Oimage(_u11578, _u11579, _u11580), _u11581))) | c_Fun_Oinj__on(_u11578, _u11579, c_Fun_Ofun__upd(_u11578, _u11579, _u11580, _u11583, _u11582), _u11581) )).
% 19.53/19.78 cnf(matrix-5604, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u11584, _u11584), tc_HOL_Obool)), _u11585), _u11586)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11584, tc_HOL_Obool)), c_Wellfounded_Oacc(_u11584, _u11586)), c_Wellfounded_Oacc(_u11584, _u11585))) )).
% 19.53/19.78 cnf(matrix-5605, plain, ( c_Fun_Oinj__on(_u11587, tc_fun(_u11587, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11587, tc_fun(_u11587, tc_HOL_Obool), tc_fun(_u11587, tc_HOL_Obool)), c_Set_Oinsert(_u11587)), c_Orderings_Obot__class_Obot(tc_fun(_u11587, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u11587, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5606, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), hAPP(c_Int_ORep__Integ, _u11588)), c_Int_OInteg)) )).
% 19.53/19.78 cnf(matrix-5607, plain, ( ~c_Fun_Oinj__on(_u11589, _u11590, _u11591, _u11592) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11590, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11589, _u11590, _u11591), _u11592)), _u11593)) | ~c_Fun_Oinj__on(_u11590, _u11589, _u11594, _u11593) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11589, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11590, _u11589, _u11594), _u11593)), _u11592)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11589), _u11592)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11590), _u11593)) | ( hAPP(c_Finite__Set_Ocard(_u11589), _u11592) = hAPP(c_Finite__Set_Ocard(_u11590), _u11593)) )).
% 19.53/19.78 cnf(matrix-5608, plain, ( ~c_Fun_Oinj__on(_u11595, _u11596, _u11597, c_Orderings_Otop__class_Otop(tc_fun(_u11595, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11596, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11595, _u11596, _u11597), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11595, tc_HOL_Obool)), _u11598))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11596, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11595, _u11596, _u11597), _u11598)))) )).
% 19.53/19.78 cnf(matrix-5609, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11604), _u11606), c_Wellfounded_Oacc(_u11604, _u11608))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11604, _u11604)), hAPP(hAPP(c_Product__Type_OPair(_u11604, _u11604), _u11599), _u11606)), _u11608)) | hBOOL(hAPP(hAPP(c_member(_u11604), _u11599), c_Wellfounded_Oacc(_u11604, _u11608))) )).
% 19.53/19.78 cnf(matrix-5610, plain, ( hBOOL(hAPP(hAPP(c_member(_u11605), _u11607), c_Wellfounded_Oacc(_u11605, _u11609))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11605, _u11605)), hAPP(hAPP(c_Product__Type_OPair(_u11605, _u11605), skolem277(_u11609, _u11607, _u11605)), _u11607)), _u11609)) )).
% 19.53/19.78 cnf(matrix-5611, plain, ( hBOOL(hAPP(hAPP(c_member(_u11605), _u11607), c_Wellfounded_Oacc(_u11605, _u11609))) | ~hBOOL(hAPP(hAPP(c_member(_u11605), skolem277(_u11609, _u11607, _u11605)), c_Wellfounded_Oacc(_u11605, _u11609))) )).
% 19.53/19.78 cnf(matrix-5612, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11610), _u11611), c_Wellfounded_Oacc(_u11610, _u11612))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11610, _u11610)), hAPP(hAPP(c_Product__Type_OPair(_u11610, _u11610), _u11613), _u11611)), _u11612)) | hBOOL(hAPP(hAPP(c_member(_u11610), _u11613), c_Wellfounded_Oacc(_u11610, _u11612))) )).
% 19.53/19.78 cnf(matrix-5613, plain, ( ~c_Fun_Oinj__on(_u11619, _u11621, _u11623, hAPP(hAPP(c_Set_Oinsert(_u11619), _u11625), _u11627)) | c_Fun_Oinj__on(_u11619, _u11621, _u11623, _u11627) )).
% 19.53/19.78 cnf(matrix-5614, plain, ( ~c_Fun_Oinj__on(_u11619, _u11621, _u11623, hAPP(hAPP(c_Set_Oinsert(_u11619), _u11625), _u11627)) | ~hBOOL(hAPP(hAPP(c_member(_u11621), hAPP(_u11623, _u11625)), hAPP(c_Set_Oimage(_u11619, _u11621, _u11623), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11619, tc_HOL_Obool)), _u11627), hAPP(hAPP(c_Set_Oinsert(_u11619), _u11625), c_Orderings_Obot__class_Obot(tc_fun(_u11619, tc_HOL_Obool))))))) )).
% 19.53/19.78 cnf(matrix-5615, plain, ( ~c_Fun_Oinj__on(_u11620, _u11622, _u11624, _u11628) | hBOOL(hAPP(hAPP(c_member(_u11622), hAPP(_u11624, _u11626)), hAPP(c_Set_Oimage(_u11620, _u11622, _u11624), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11620, tc_HOL_Obool)), _u11628), hAPP(hAPP(c_Set_Oinsert(_u11620), _u11626), c_Orderings_Obot__class_Obot(tc_fun(_u11620, tc_HOL_Obool))))))) | c_Fun_Oinj__on(_u11620, _u11622, _u11624, hAPP(hAPP(c_Set_Oinsert(_u11620), _u11626), _u11628)) )).
% 19.53/19.78 cnf(matrix-5616, plain, ( ~c_Fun_Oinj__on(_u11634, _u11636, _u11638, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11634, tc_HOL_Obool)), _u11640), _u11642)) | c_Fun_Oinj__on(_u11634, _u11636, _u11638, _u11640) )).
% 19.53/19.78 cnf(matrix-5617, plain, ( ~c_Fun_Oinj__on(_u11634, _u11636, _u11638, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11634, tc_HOL_Obool)), _u11640), _u11642)) | c_Fun_Oinj__on(_u11634, _u11636, _u11638, _u11642) )).
% 19.53/19.78 cnf(matrix-5618, plain, ( ~c_Fun_Oinj__on(_u11634, _u11636, _u11638, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11634, tc_HOL_Obool)), _u11640), _u11642)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11636, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11634, _u11636, _u11638), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11634, tc_HOL_Obool)), _u11640), _u11642))), hAPP(c_Set_Oimage(_u11634, _u11636, _u11638), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11634, tc_HOL_Obool)), _u11642), _u11640))) = c_Orderings_Obot__class_Obot(tc_fun(_u11636, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5619, plain, ( ~c_Fun_Oinj__on(_u11635, _u11637, _u11639, _u11641) | ~c_Fun_Oinj__on(_u11635, _u11637, _u11639, _u11643) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11637, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11635, _u11637, _u11639), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11635, tc_HOL_Obool)), _u11641), _u11643))), hAPP(c_Set_Oimage(_u11635, _u11637, _u11639), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11635, tc_HOL_Obool)), _u11643), _u11641))) != c_Orderings_Obot__class_Obot(tc_fun(_u11637, tc_HOL_Obool))) | c_Fun_Oinj__on(_u11635, _u11637, _u11639, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11635, tc_HOL_Obool)), _u11641), _u11643)) )).
% 19.53/19.78 cnf(matrix-5620, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11646), _u11647)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11648), _u11649)) | ~c_Fun_Oinj__on(_u11646, _u11648, _u11644, _u11647) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11648, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11646, _u11648, _u11644), _u11647)), _u11649)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u11646), _u11647)), hAPP(c_Finite__Set_Ocard(_u11648), _u11649))) )).
% 19.53/19.78 cnf(matrix-5621, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11646), _u11647)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11648), _u11649)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u11646), _u11647)), hAPP(c_Finite__Set_Ocard(_u11648), _u11649))) | c_Fun_Oinj__on(_u11646, _u11648, skolem278(_u11649, _u11648, _u11647, _u11646), _u11647) )).
% 19.53/19.78 cnf(matrix-5622, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11646), _u11647)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11648), _u11649)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u11646), _u11647)), hAPP(c_Finite__Set_Ocard(_u11648), _u11649))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11648, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11646, _u11648, skolem278(_u11649, _u11648, _u11647, _u11646)), _u11647)), _u11649)) )).
% 19.53/19.78 cnf(matrix-5623, plain, ( ~c_Fun_Oinj__on(_u11650, _u11651, _u11652, _u11653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11651, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11650, _u11651, _u11652), _u11653)), _u11654)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11651), _u11654)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u11650), _u11653)), hAPP(c_Finite__Set_Ocard(_u11651), _u11654))) )).
% 19.53/19.78 cnf(matrix-5624, plain, ( ~c_Fun_Oinj__on(_u11655, tc_fun(tc_fun(_u11655, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11655, tc_fun(tc_prod(_u11655, _u11655), tc_HOL_Obool), tc_fun(tc_fun(_u11655, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11655, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u11655, _u11655), tc_HOL_Obool), tc_fun(tc_fun(_u11655, tc_HOL_Obool), tc_HOL_Obool)), _u11655), c_Equiv__Relations_Oquotient(_u11655)), hAPP(hAPP(c_COMBC(_u11655, tc_fun(_u11655, tc_HOL_Obool), tc_fun(_u11655, tc_HOL_Obool)), c_Set_Oinsert(_u11655)), c_Orderings_Obot__class_Obot(tc_fun(_u11655, tc_HOL_Obool))))), _u11656), _u11657) | ~hBOOL(hAPP(hAPP(c_member(_u11655), _u11658), _u11657)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11655), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11655, tc_HOL_Obool)), _u11657), hAPP(hAPP(c_Set_Oinsert(_u11655), _u11658), c_Orderings_Obot__class_Obot(tc_fun(_u11655, tc_HOL_Obool))))), _u11656) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(_u11655, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11655), _u11657), _u11656)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11655), hAPP(hAPP(c_Set_Oinsert(_u11655), _u11658), c_Orderings_Obot__class_Obot(tc_fun(_u11655, tc_HOL_Obool)))), _u11656))) )).
% 19.53/19.78 cnf(matrix-5625, plain, ( ~c_Fun_Oinj__on(_u11660, _u11661, _u11662, _u11663) | ~hBOOL(hAPP(hAPP(c_member(_u11664), _u11667), _u11665)) | ( hAPP(c_Set_Oimage(_u11660, _u11661, _u11662), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11664, tc_fun(_u11660, tc_HOL_Obool)), _u11665), _u11666)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11664, tc_fun(_u11661, tc_HOL_Obool)), _u11665), hAPP(hAPP(c_COMBB(tc_fun(_u11660, tc_HOL_Obool), tc_fun(_u11661, tc_HOL_Obool), _u11664), c_Set_Oimage(_u11660, _u11661, _u11662)), _u11666))) | hBOOL(hAPP(hAPP(c_member(_u11664), skolem279(_u11667, _u11666, _u11665, _u11664, _u11663, _u11662, _u11661, _u11660)), _u11665)) )).
% 19.53/19.78 cnf(matrix-5626, plain, ( ~c_Fun_Oinj__on(_u11660, _u11661, _u11662, _u11663) | ~hBOOL(hAPP(hAPP(c_member(_u11664), _u11667), _u11665)) | ( hAPP(c_Set_Oimage(_u11660, _u11661, _u11662), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11664, tc_fun(_u11660, tc_HOL_Obool)), _u11665), _u11666)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11664, tc_fun(_u11661, tc_HOL_Obool)), _u11665), hAPP(hAPP(c_COMBB(tc_fun(_u11660, tc_HOL_Obool), tc_fun(_u11661, tc_HOL_Obool), _u11664), c_Set_Oimage(_u11660, _u11661, _u11662)), _u11666))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11660, tc_HOL_Obool)), hAPP(_u11666, skolem279(_u11667, _u11666, _u11665, _u11664, _u11663, _u11662, _u11661, _u11660))), _u11663)) )).
% 19.53/19.78 cnf(matrix-5627, plain, ( c_Typedef_Otype__definition(tc_Int_Oint, tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool), c_Int_ORep__Integ, c_Int_OAbs__Integ, c_Int_OInteg) )).
% 19.53/19.78 cnf(matrix-5628, plain, ( ~c_Fun_Oinj__on(_u11668, _u11669, _u11670, _u11671) | ~hBOOL(hAPP(hAPP(c_member(_u11669), _u11672), hAPP(c_Set_Oimage(_u11668, _u11669, _u11670), _u11671))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11668, tc_HOL_Obool)), _u11671), _u11673)) | hBOOL(hAPP(hAPP(c_member(_u11668), hAPP(c_Fun_Othe__inv__into(_u11668, _u11669, _u11671, _u11670), _u11672)), _u11673)) )).
% 19.53/19.78 cnf(matrix-5629, plain, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Nat_Onat, hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u11674), _u11675) )).
% 19.53/19.78 cnf(matrix-5630, plain, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc, _u11676) )).
% 19.53/19.78 cnf(matrix-5631, plain, ( ~class_Nat_Osemiring__char__0(_u11677) | c_Fun_Oinj__on(tc_Nat_Onat, _u11677, c_Nat_Osemiring__1__class_Oof__nat(_u11677), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5632, plain, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5633, plain, ( c_Fun_Oinj__on(tc_prod(_u11678, _u11679), tc_prod(_u11679, _u11678), hAPP(c_Product__Type_Oprod_Oprod__case(_u11678, _u11679, tc_prod(_u11679, _u11678)), hAPP(c_COMBC(_u11679, _u11678, tc_prod(_u11679, _u11678)), c_Product__Type_OPair(_u11679, _u11678))), _u11680) )).
% 19.53/19.78 cnf(matrix-5634, plain, ( ~c_Fun_Oinj__on(_u11681, _u11682, _u11683, _u11684) | ~hBOOL(hAPP(hAPP(c_member(_u11681), _u11685), _u11684)) | ( hAPP(c_Fun_Othe__inv__into(_u11681, _u11682, _u11684, _u11683), hAPP(_u11683, _u11685)) = _u11685) )).
% 19.53/19.78 cnf(matrix-5635, plain, ( ~c_Fun_Oinj__on(_u11686, _u11687, _u11688, _u11689) | ( hAPP(_u11688, _u11690) != _u11691) | ~hBOOL(hAPP(hAPP(c_member(_u11686), _u11690), _u11689)) | ( hAPP(c_Fun_Othe__inv__into(_u11686, _u11687, _u11689, _u11688), _u11691) = _u11690) )).
% 19.53/19.78 cnf(matrix-5636, plain, ( ~c_Fun_Oinj__on(_u11692, _u11693, _u11694, _u11695) | c_Fun_Oinj__on(_u11693, _u11692, c_Fun_Othe__inv__into(_u11692, _u11693, _u11695, _u11694), hAPP(c_Set_Oimage(_u11692, _u11693, _u11694), _u11695)) )).
% 19.53/19.78 cnf(matrix-5637, plain, ( ~c_Fun_Oinj__on(_u11696, _u11697, _u11698, _u11699) | ( hAPP(c_Set_Oimage(_u11697, _u11696, c_Fun_Othe__inv__into(_u11696, _u11697, _u11699, _u11698)), hAPP(c_Set_Oimage(_u11696, _u11697, _u11698), _u11699)) = _u11699) )).
% 19.53/19.78 cnf(matrix-5638, plain, ( ~c_Fun_Oinj__on(_u11700, _u11701, _u11702, c_Orderings_Otop__class_Otop(tc_fun(_u11700, tc_HOL_Obool))) | ( hAPP(c_Fun_Othe__inv__into(_u11700, _u11701, c_Orderings_Otop__class_Otop(tc_fun(_u11700, tc_HOL_Obool)), _u11702), hAPP(_u11702, _u11703)) = _u11703) )).
% 19.53/19.78 cnf(matrix-5639, plain, ( ~c_Fun_Oinj__on(_u11704, _u11705, _u11706, _u11707) | ~hBOOL(hAPP(hAPP(c_member(_u11705), _u11708), hAPP(c_Set_Oimage(_u11704, _u11705, _u11706), _u11707))) | ( hAPP(_u11706, hAPP(c_Fun_Othe__inv__into(_u11704, _u11705, _u11707, _u11706), _u11708)) = _u11708) )).
% 19.53/19.78 cnf(matrix-5640, plain, ( ~c_Typedef_Otype__definition(_u11709, _u11710, _u11711, _u11712, _u11713) | ( hAPP(c_Set_Oimage(_u11710, _u11709, _u11712), _u11713) = c_Orderings_Otop__class_Otop(tc_fun(_u11709, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5641, plain, ( ~c_Typedef_Otype__definition(_u11714, _u11715, _u11716, _u11717, _u11718) | ( hAPP(c_Set_Oimage(_u11714, _u11715, _u11716), c_Orderings_Otop__class_Otop(tc_fun(_u11714, tc_HOL_Obool))) = _u11718) )).
% 19.53/19.78 cnf(matrix-5642, plain, ( hBOOL(hAPP(hAPP(c_member(_u11720), hAPP(_u11721, _u11724)), _u11723)) | ~c_Typedef_Otype__definition(_u11719, _u11720, _u11721, _u11722, _u11723) )).
% 19.53/19.78 cnf(matrix-5643, plain, ( ( hAPP(_u11728, hAPP(_u11727, _u11730)) = _u11730) | ~c_Typedef_Otype__definition(_u11725, _u11726, _u11727, _u11728, _u11729) )).
% 19.53/19.78 cnf(matrix-5644, plain, ( ~c_Typedef_Otype__definition(_u11731, _u11732, _u11733, _u11734, _u11735) | ( hAPP(_u11733, _u11736) != hAPP(_u11733, _u11737)) | ( _u11736 = _u11737) )).
% 19.53/19.78 cnf(matrix-5645, plain, ( ~c_Typedef_Otype__definition(_u11731, _u11732, _u11733, _u11734, _u11735) | ( _u11736 != _u11737) | ( hAPP(_u11733, _u11736) = hAPP(_u11733, _u11737)) )).
% 19.53/19.78 cnf(matrix-5646, plain, ( ~c_Typedef_Otype__definition(_u11738, _u11739, _u11740, _u11741, _u11742) | ~hBOOL(hAPP(hAPP(c_member(_u11739), _u11743), _u11742)) | ~hBOOL(hAPP(hAPP(c_member(_u11739), _u11744), _u11742)) | ( hAPP(_u11741, _u11743) != hAPP(_u11741, _u11744)) | ( _u11743 = _u11744) )).
% 19.53/19.78 cnf(matrix-5647, plain, ( ~c_Typedef_Otype__definition(_u11738, _u11739, _u11740, _u11741, _u11742) | ~hBOOL(hAPP(hAPP(c_member(_u11739), _u11743), _u11742)) | ~hBOOL(hAPP(hAPP(c_member(_u11739), _u11744), _u11742)) | ( _u11743 != _u11744) | ( hAPP(_u11741, _u11743) = hAPP(_u11741, _u11744)) )).
% 19.53/19.78 cnf(matrix-5648, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11746), _u11750), _u11749)) | ( hAPP(_u11747, hAPP(_u11748, _u11750)) = _u11750) | ~c_Typedef_Otype__definition(_u11745, _u11746, _u11747, _u11748, _u11749) )).
% 19.53/19.78 cnf(matrix-5649, plain, ( ~c_Wellfounded_Omax__extp(_u11759, _u11761, _u11763, _u11765) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11759), _u11763)) )).
% 19.53/19.78 cnf(matrix-5650, plain, ( ~c_Wellfounded_Omax__extp(_u11759, _u11761, _u11763, _u11765) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11759), _u11765)) )).
% 19.53/19.78 cnf(matrix-5651, plain, ( ~c_Wellfounded_Omax__extp(_u11759, _u11761, _u11763, _u11765) | ( _u11765 != c_Orderings_Obot__class_Obot(tc_fun(_u11759, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5652, plain, ( ~c_Wellfounded_Omax__extp(_u11759, _u11761, _u11763, _u11765) | ~hBOOL(hAPP(hAPP(c_member(_u11759), _u11752), _u11763)) | hBOOL(hAPP(hAPP(c_member(_u11759), skolem280(_u11765, _u11763, _u11761, _u11759, _u11752)), _u11765)) )).
% 19.53/19.78 cnf(matrix-5653, plain, ( ~c_Wellfounded_Omax__extp(_u11759, _u11761, _u11763, _u11765) | ~hBOOL(hAPP(hAPP(c_member(_u11759), _u11752), _u11763)) | hBOOL(hAPP(hAPP(_u11761, _u11752), skolem280(_u11765, _u11763, _u11761, _u11759, _u11752))) )).
% 19.53/19.78 cnf(matrix-5654, plain, ( c_Wellfounded_Omax__extp(_u11760, _u11762, _u11764, _u11766) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11760), _u11764)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11760), _u11766)) | ( _u11766 = c_Orderings_Obot__class_Obot(tc_fun(_u11760, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u11760), skolem281(_u11766, _u11764, _u11762, _u11760)), _u11764)) )).
% 19.53/19.78 cnf(matrix-5655, plain, ( c_Wellfounded_Omax__extp(_u11760, _u11762, _u11764, _u11766) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11760), _u11764)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11760), _u11766)) | ( _u11766 = c_Orderings_Obot__class_Obot(tc_fun(_u11760, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u11760), _u11753), _u11766)) | ~hBOOL(hAPP(hAPP(_u11762, skolem281(_u11766, _u11764, _u11762, _u11760)), _u11753)) )).
% 19.53/19.78 cnf(matrix-5656, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11769), _u11770)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11769), _u11771)) | ( _u11771 = c_Orderings_Obot__class_Obot(tc_fun(_u11769, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11769, tc_HOL_Obool), tc_fun(_u11769, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11769, tc_HOL_Obool), tc_fun(_u11769, tc_HOL_Obool)), _u11770), _u11771)), c_Wellfounded_Omax__ext(_u11769, _u11772))) | hBOOL(hAPP(hAPP(c_member(_u11769), skolem282(_u11772, _u11771, _u11770, _u11769)), _u11770)) )).
% 19.53/19.78 cnf(matrix-5657, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11769), _u11770)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11769), _u11771)) | ( _u11771 = c_Orderings_Obot__class_Obot(tc_fun(_u11769, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11769, tc_HOL_Obool), tc_fun(_u11769, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11769, tc_HOL_Obool), tc_fun(_u11769, tc_HOL_Obool)), _u11770), _u11771)), c_Wellfounded_Omax__ext(_u11769, _u11772))) | ~hBOOL(hAPP(hAPP(c_member(_u11769), _u11767), _u11771)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11769, _u11769)), hAPP(hAPP(c_Product__Type_OPair(_u11769, _u11769), skolem282(_u11772, _u11771, _u11770, _u11769)), _u11767)), _u11772)) )).
% 19.53/19.78 cnf(matrix-5658, plain, ( ( c_Nitpick_Ozero__frac(_u11773) = c_Nitpick_OAbs__Frac(_u11773, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 19.53/19.78 cnf(matrix-5659, plain, ( ( c_Nitpick_Oone__frac(_u11774) = c_Nitpick_OAbs__Frac(_u11774, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 19.53/19.78 cnf(matrix-5660, plain, ( ( c_Nitpick_Onumber__of__frac(_u11775, _u11776) = c_Nitpick_OAbs__Frac(_u11775, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11776), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 19.53/19.78 cnf(matrix-5661, plain, ( ( hAPP(hAPP(c_Nitpick_Ofrac(_u11777), _u11778), _u11779) = c_Nitpick_OAbs__Frac(_u11777, c_Nitpick_Onorm__frac(_u11778, _u11779))) )).
% 19.53/19.78 cnf(matrix-5662, plain, ( ( _u11781 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11782, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u11782, _u11783, _u11784, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u11782, tc_HOL_Obool), _u11781)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11782, tc_HOL_Obool)), skolem283(_u11784, _u11783, _u11782, _u11781)), _u11781)) )).
% 19.53/19.78 cnf(matrix-5663, plain, ( ( _u11781 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u11782, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u11782, _u11783, _u11784, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u11782, tc_HOL_Obool), _u11781)) | ~c_Fun_Oinj__on(_u11782, _u11783, _u11784, skolem283(_u11784, _u11783, _u11782, _u11781)) )).
% 19.53/19.78 cnf(matrix-5664, plain, ( ( c_Set_Othe__elem(_u11785, _u11786) = c_HOL_OThe(_u11785, hAPP(hAPP(c_COMBB(tc_fun(_u11785, tc_HOL_Obool), tc_HOL_Obool, _u11785), hAPP(c_fequal, _u11786)), hAPP(hAPP(c_COMBC(_u11785, tc_fun(_u11785, tc_HOL_Obool), tc_fun(_u11785, tc_HOL_Obool)), c_Set_Oinsert(_u11785)), c_Orderings_Obot__class_Obot(tc_fun(_u11785, tc_HOL_Obool)))))) )).
% 19.53/19.78 cnf(matrix-5665, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u11789, _u11790, _u11791) | ( hAPP(_u11792, hAPP(hAPP(_u11790, skolem284(_u11793, _u11792, _u11791, _u11790, _u11789)), skolem285(_u11793, _u11792, _u11791, _u11790, _u11789))) != hAPP(hAPP(_u11790, hAPP(_u11792, skolem284(_u11793, _u11792, _u11791, _u11790, _u11789))), hAPP(_u11792, skolem285(_u11793, _u11792, _u11791, _u11790, _u11789)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11789), _u11793)) | ( _u11793 = c_Orderings_Obot__class_Obot(tc_fun(_u11789, tc_HOL_Obool))) | ( hAPP(_u11792, hAPP(_u11791, _u11793)) = hAPP(_u11791, hAPP(c_Set_Oimage(_u11789, _u11789, _u11792), _u11793))) )).
% 19.53/19.78 cnf(matrix-5666, plain, ( ( c_HOL_OThe(tc_prod(_u11794, _u11795), hAPP(c_Product__Type_Oprod_Oprod__case(_u11794, _u11795, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11794, tc_fun(_u11795, tc_HOL_Obool), tc_fun(_u11795, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u11795, tc_HOL_Obool), tc_fun(_u11795, tc_HOL_Obool)), _u11794), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u11795)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11794), c_fconj), hAPP(c_fequal, _u11796)))), hAPP(c_fequal, _u11797)))) = hAPP(hAPP(c_Product__Type_OPair(_u11794, _u11795), _u11796), _u11797)) )).
% 19.53/19.78 cnf(matrix-5667, plain, ( ( c_HOL_OThe(tc_prod(_u11798, _u11799), _u11800) = c_HOL_OThe(tc_prod(_u11798, _u11799), hAPP(c_Product__Type_Oprod_Oprod__case(_u11798, _u11799, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u11799, tc_prod(_u11798, _u11799)), tc_fun(_u11799, tc_HOL_Obool), _u11798), hAPP(c_COMBB(tc_prod(_u11798, _u11799), tc_HOL_Obool, _u11799), _u11800)), c_Product__Type_OPair(_u11798, _u11799))))) )).
% 19.53/19.78 cnf(matrix-5668, plain, ( ( hAPP(c_Fun_Othe__inv__into(_u11801, _u11802, _u11803, _u11804), _u11805) = c_HOL_OThe(_u11801, hAPP(hAPP(c_COMBS(_u11801, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11801), c_fconj), hAPP(hAPP(c_COMBC(_u11801, tc_fun(_u11801, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11801)), _u11803))), hAPP(hAPP(c_COMBC(_u11801, _u11802, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u11802, tc_fun(_u11802, tc_HOL_Obool), _u11801), c_fequal), _u11804)), _u11805)))) )).
% 19.53/19.78 cnf(matrix-5669, plain, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u11806, _u11807, _u11808), _u11809), _u11810) = c_HOL_OThe(_u11807, c_Finite__Set_Ofold__graph(_u11806, _u11807, _u11808, _u11809, _u11810))) )).
% 19.53/19.78 cnf(matrix-5670, plain, ( ( c_Divides_Odivmod__nat(_u11811, _u11812) = c_HOL_OThe(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat__rel(_u11811, _u11812))) )).
% 19.53/19.78 cnf(matrix-5671, plain, ( ( hAPP(c_Finite__Set_Ofold1(_u11813, _u11814), _u11815) = c_HOL_OThe(_u11813, c_Finite__Set_Ofold1Set(_u11813, _u11814, _u11815))) )).
% 19.53/19.78 cnf(matrix-5672, plain, ( ( c_HOL_OThe(tc_prod(_u11816, _u11817), hAPP(c_Product__Type_Oprod_Oprod__case(_u11816, _u11817, tc_HOL_Obool), _u11818)) = c_HOL_OThe(tc_prod(_u11816, _u11817), hAPP(hAPP(c_COMBS(tc_prod(_u11816, _u11817), _u11817, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u11816, tc_fun(_u11817, tc_HOL_Obool), tc_prod(_u11816, _u11817)), _u11818), c_Product__Type_Ofst(_u11816, _u11817))), c_Product__Type_Osnd(_u11816, _u11817)))) )).
% 19.53/19.78 cnf(matrix-5673, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11822, tc_HOL_Obool)), _u11824), hAPP(hAPP(c_Set_Oinsert(_u11822), _u11826), c_Orderings_Obot__class_Obot(tc_fun(_u11822, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u11822, _u11826, _u11824) = _u11826) )).
% 19.53/19.78 cnf(matrix-5674, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11823, tc_HOL_Obool)), _u11825), hAPP(hAPP(c_Set_Oinsert(_u11823), _u11827), c_Orderings_Obot__class_Obot(tc_fun(_u11823, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u11823, _u11827, _u11825) = c_HOL_OThe(_u11823, hAPP(hAPP(c_COMBC(_u11823, tc_fun(_u11823, tc_HOL_Obool), tc_HOL_Obool), c_member(_u11823)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11823, tc_HOL_Obool)), _u11825), hAPP(hAPP(c_Set_Oinsert(_u11823), _u11827), c_Orderings_Obot__class_Obot(tc_fun(_u11823, tc_HOL_Obool))))))) )).
% 19.53/19.78 cnf(matrix-5675, plain, ( ~c_Fun_Oinj__on(_u11828, _u11829, _u11830, c_Orderings_Otop__class_Otop(tc_fun(_u11828, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11828, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u11828, _u11829, _u11830), hAPP(hAPP(c_Set_Oinsert(_u11829), _u11831), c_Orderings_Obot__class_Obot(tc_fun(_u11829, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u11828), c_HOL_OThe(_u11828, hAPP(hAPP(c_COMBC(_u11828, _u11829, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u11829, tc_fun(_u11829, tc_HOL_Obool), _u11828), c_fequal), _u11830)), _u11831))), c_Orderings_Obot__class_Obot(tc_fun(_u11828, tc_HOL_Obool))))) )).
% 19.53/19.78 cnf(matrix-5676, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), _u11833), c_Int_OInteg)) | ( _u11833 = hAPP(c_Int_ORep__Integ, skolem286(_u11833))) )).
% 19.53/19.78 cnf(matrix-5677, plain, ( ( hAPP(_u11834, _u11835) != _u11836) | ~hBOOL(hAPP(hAPP(c_member(_u11837), _u11836), _u11838)) | hBOOL(hAPP(hAPP(c_member(_u11839), _u11835), hAPP(c_Set_Ovimage(_u11839, _u11837, _u11834), _u11838))) )).
% 19.53/19.78 cnf(matrix-5678, plain, ( ( hAPP(c_Set_Ovimage(_u11840, _u11841, _u11842), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11841, tc_HOL_Obool)), _u11843), _u11844)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u11840, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u11840, _u11841, _u11842), _u11843)), hAPP(c_Set_Ovimage(_u11840, _u11841, _u11842), _u11844))) )).
% 19.53/19.78 cnf(matrix-5679, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11845), hAPP(_u11846, _u11847)), _u11848)) | hBOOL(hAPP(hAPP(c_member(_u11849), _u11847), hAPP(c_Set_Ovimage(_u11849, _u11845, _u11846), _u11848))) )).
% 19.53/19.78 cnf(matrix-5680, plain, ( hBOOL(hAPP(hAPP(c_member(_u11852), hAPP(_u11853, _u11851)), _u11854)) | ~hBOOL(hAPP(hAPP(c_member(_u11850), _u11851), hAPP(c_Set_Ovimage(_u11850, _u11852, _u11853), _u11854))) )).
% 19.53/19.78 cnf(matrix-5681, plain, ( hBOOL(hAPP(hAPP(c_member(_u11864), hAPP(_u11866, _u11862)), _u11868)) | ~hBOOL(hAPP(hAPP(c_member(_u11860), _u11862), hAPP(c_Set_Ovimage(_u11860, _u11864, _u11866), _u11868))) )).
% 19.53/19.78 cnf(matrix-5682, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11865), hAPP(_u11867, _u11863)), _u11869)) | hBOOL(hAPP(hAPP(c_member(_u11861), _u11863), hAPP(c_Set_Ovimage(_u11861, _u11865, _u11867), _u11869))) )).
% 19.53/19.78 cnf(matrix-5683, plain, ( ( hAPP(c_Set_Ovimage(_u11870, _u11870, c_COMBI(_u11870)), _u11871) = _u11871) )).
% 19.53/19.78 cnf(matrix-5684, plain, ( ( hAPP(c_Set_Ovimage(_u11872, _u11873, _u11874), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11873, tc_HOL_Obool)), _u11875)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u11872, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u11872, _u11873, _u11874), _u11875))) )).
% 19.53/19.78 cnf(matrix-5685, plain, ( hBOOL(hAPP(_u11887, hAPP(_u11885, _u11889))) | ~hBOOL(hAPP(hAPP(c_Set_Ovimage(_u11881, _u11883, _u11885), _u11887), _u11889)) )).
% 19.53/19.78 cnf(matrix-5686, plain, ( ~hBOOL(hAPP(_u11888, hAPP(_u11886, _u11890))) | hBOOL(hAPP(hAPP(c_Set_Ovimage(_u11882, _u11884, _u11886), _u11888), _u11890)) )).
% 19.53/19.78 cnf(matrix-5687, plain, ( ( hAPP(c_Set_Ovimage(_u11891, _u11892, _u11893), c_Orderings_Obot__class_Obot(tc_fun(_u11892, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u11891, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5688, plain, ( ( hAPP(c_Set_Ovimage(_u11894, _u11895, _u11896), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11897, tc_fun(_u11895, tc_HOL_Obool)), _u11898), _u11899)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u11897, tc_fun(_u11894, tc_HOL_Obool)), _u11898), hAPP(hAPP(c_COMBB(tc_fun(_u11895, tc_HOL_Obool), tc_fun(_u11894, tc_HOL_Obool), _u11897), c_Set_Ovimage(_u11894, _u11895, _u11896)), _u11899))) )).
% 19.53/19.78 cnf(matrix-5689, plain, ( ( hAPP(c_Set_Ovimage(_u11900, _u11901, _u11902), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11901, tc_HOL_Obool)), _u11903), _u11904)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11900, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u11900, _u11901, _u11902), _u11903)), hAPP(c_Set_Ovimage(_u11900, _u11901, _u11902), _u11904))) )).
% 19.53/19.78 cnf(matrix-5690, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11905, tc_HOL_Obool)), _u11906), _u11907)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11908, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u11908, _u11905, _u11909), _u11906)), hAPP(c_Set_Ovimage(_u11908, _u11905, _u11909), _u11907))) )).
% 19.53/19.78 cnf(matrix-5691, plain, ( ( hAPP(c_Set_Ovimage(_u11910, _u11911, _u11912), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11911, tc_HOL_Obool)), _u11913), _u11914)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11910, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u11910, _u11911, _u11912), _u11913)), hAPP(c_Set_Ovimage(_u11910, _u11911, _u11912), _u11914))) )).
% 19.53/19.78 cnf(matrix-5692, plain, ( ( hAPP(c_Set_Ovimage(_u11915, _u11916, _u11917), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11918, tc_fun(_u11916, tc_HOL_Obool)), _u11919), _u11920)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11918, tc_fun(_u11915, tc_HOL_Obool)), _u11919), hAPP(hAPP(c_COMBB(tc_fun(_u11916, tc_HOL_Obool), tc_fun(_u11915, tc_HOL_Obool), _u11918), c_Set_Ovimage(_u11915, _u11916, _u11917)), _u11920))) )).
% 19.53/19.78 cnf(matrix-5693, plain, ( ( hAPP(c_Set_Ovimage(_u11921, _u11922, _u11923), c_Orderings_Otop__class_Otop(tc_fun(_u11922, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u11921, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5694, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11924, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u11925, _u11924, _u11926), hAPP(c_Set_Ovimage(_u11925, _u11924, _u11926), _u11927))), _u11927)) )).
% 19.53/19.78 cnf(matrix-5695, plain, ( ( hAPP(c_Set_Oimage(_u11928, _u11929, _u11930), c_Orderings_Otop__class_Otop(tc_fun(_u11928, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u11929, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u11928, _u11929, _u11930), hAPP(c_Set_Ovimage(_u11928, _u11929, _u11930), _u11931)) = _u11931) )).
% 19.53/19.78 cnf(matrix-5696, plain, ( ( hAPP(c_Set_Ovimage(_u11932, _u11933, _u11934), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u11933, tc_HOL_Obool), _u11935)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u11933, tc_HOL_Obool), tc_fun(_u11932, tc_HOL_Obool)), _u11935), c_Set_Ovimage(_u11932, _u11933, _u11934))) )).
% 19.53/19.78 cnf(matrix-5697, plain, ( ( hAPP(_u11947, _u11943) = _u11949) | ~hBOOL(hAPP(hAPP(c_member(_u11941), _u11943), hAPP(c_Set_Ovimage(_u11941, _u11945, _u11947), hAPP(hAPP(c_Set_Oinsert(_u11945), _u11949), c_Orderings_Obot__class_Obot(tc_fun(_u11945, tc_HOL_Obool)))))) )).
% 19.53/19.78 cnf(matrix-5698, plain, ( ( hAPP(_u11948, _u11944) != _u11950) | hBOOL(hAPP(hAPP(c_member(_u11942), _u11944), hAPP(c_Set_Ovimage(_u11942, _u11946, _u11948), hAPP(hAPP(c_Set_Oinsert(_u11946), _u11950), c_Orderings_Obot__class_Obot(tc_fun(_u11946, tc_HOL_Obool)))))) )).
% 19.53/19.78 cnf(matrix-5699, plain, ( ( hAPP(c_Set_Ovimage(_u11951, _u11952, _u11953), hAPP(hAPP(c_Set_Oinsert(_u11952), _u11954), _u11955)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11951, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u11951, _u11952, _u11953), hAPP(hAPP(c_Set_Oinsert(_u11952), _u11954), c_Orderings_Obot__class_Obot(tc_fun(_u11952, tc_HOL_Obool))))), hAPP(c_Set_Ovimage(_u11951, _u11952, _u11953), _u11955))) )).
% 19.53/19.78 cnf(matrix-5700, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11956), hAPP(c_Set_Ovimage(_u11956, _u11957, _u11958), _u11959))) | ( hAPP(c_Set_Oimage(_u11956, _u11957, _u11958), c_Orderings_Otop__class_Otop(tc_fun(_u11956, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u11957, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11957), _u11959)) )).
% 19.53/19.78 cnf(matrix-5701, plain, ( ( hAPP(c_Set_Oimage(_u11960, _u11961, _u11962), c_Orderings_Otop__class_Otop(tc_fun(_u11960, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u11961, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11960, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u11960, _u11961, _u11962), _u11963)), _u11964)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11961, tc_HOL_Obool)), _u11963), hAPP(c_Set_Oimage(_u11960, _u11961, _u11962), _u11964))) )).
% 19.53/19.78 cnf(matrix-5702, plain, ( ( hAPP(c_Set_Oimage(_u11965, _u11966, _u11967), hAPP(c_Set_Ovimage(_u11965, _u11966, _u11967), _u11968)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11966, tc_HOL_Obool)), _u11968), hAPP(c_Set_Oimage(_u11965, _u11966, _u11967), c_Orderings_Otop__class_Otop(tc_fun(_u11965, tc_HOL_Obool))))) )).
% 19.53/19.78 cnf(matrix-5703, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11969), _u11970)) | ~c_Fun_Oinj__on(_u11971, _u11969, _u11972, c_Orderings_Otop__class_Otop(tc_fun(_u11971, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11971), hAPP(c_Set_Ovimage(_u11971, _u11969, _u11972), _u11970))) )).
% 19.53/19.78 cnf(matrix-5704, plain, ( ~c_Fun_Oinj__on(_u11973, _u11974, _u11975, c_Orderings_Otop__class_Otop(tc_fun(_u11973, tc_HOL_Obool))) | ( hAPP(c_Set_Ovimage(_u11973, _u11974, _u11975), hAPP(c_Set_Oimage(_u11973, _u11974, _u11975), _u11976)) = _u11976) )).
% 19.53/19.78 cnf(matrix-5705, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11981), _u11983), _u11985)) | ( hAPP(c_Set_Ovimage(_u11987, _u11981, hAPP(c_COMBK(_u11981, _u11987), _u11983)), _u11985) = c_Orderings_Otop__class_Otop(tc_fun(_u11987, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5706, plain, ( hBOOL(hAPP(hAPP(c_member(_u11982), _u11984), _u11986)) | ( hAPP(c_Set_Ovimage(_u11988, _u11982, hAPP(c_COMBK(_u11982, _u11988), _u11984)), _u11986) = c_Orderings_Obot__class_Obot(tc_fun(_u11988, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5707, plain, ( ( hAPP(c_Set_Ovimage(_u11989, _u11990, _u11991), _u11992) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11990, tc_fun(_u11989, tc_HOL_Obool)), _u11992), hAPP(hAPP(c_COMBB(tc_fun(_u11990, tc_HOL_Obool), tc_fun(_u11989, tc_HOL_Obool), _u11990), c_Set_Ovimage(_u11989, _u11990, _u11991)), hAPP(hAPP(c_COMBC(_u11990, tc_fun(_u11990, tc_HOL_Obool), tc_fun(_u11990, tc_HOL_Obool)), c_Set_Oinsert(_u11990)), c_Orderings_Obot__class_Obot(tc_fun(_u11990, tc_HOL_Obool)))))) )).
% 19.53/19.78 cnf(matrix-5708, plain, ( ~c_Fun_Oinj__on(_u11993, _u11994, _u11995, c_Orderings_Otop__class_Otop(tc_fun(_u11993, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11994, tc_HOL_Obool)), _u11996), hAPP(c_Set_Oimage(_u11993, _u11994, _u11995), _u11997))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11993, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u11993, _u11994, _u11995), _u11996)), _u11997)) )).
% 19.53/19.78 cnf(matrix-5709, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12004), _u12006), _u12008)) | ~hBOOL(hAPP(hAPP(c_member(_u12004), _u12010), _u12008)) | ( hAPP(c_Set_Ovimage(_u12012, _u12004, hAPP(hAPP(c_COMBC(_u12012, _u12004, _u12004), hAPP(hAPP(c_COMBC(_u12012, _u12004, tc_fun(_u12004, _u12004)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12004, tc_fun(_u12004, _u12004)), _u12012), c_If(_u12004)), hAPP(hAPP(c_COMBC(_u12012, tc_fun(_u12012, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12012)), _u12014))), _u12006)), _u12010)), _u12008) = c_Orderings_Otop__class_Otop(tc_fun(_u12012, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5710, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12004), _u12006), _u12008)) | hBOOL(hAPP(hAPP(c_member(_u12004), _u12010), _u12008)) | ( hAPP(c_Set_Ovimage(_u12012, _u12004, hAPP(hAPP(c_COMBC(_u12012, _u12004, _u12004), hAPP(hAPP(c_COMBC(_u12012, _u12004, tc_fun(_u12004, _u12004)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12004, tc_fun(_u12004, _u12004)), _u12012), c_If(_u12004)), hAPP(hAPP(c_COMBC(_u12012, tc_fun(_u12012, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12012)), _u12014))), _u12006)), _u12010)), _u12008) = _u12014) )).
% 19.53/19.78 cnf(matrix-5711, plain, ( hBOOL(hAPP(hAPP(c_member(_u12005), _u12007), _u12009)) | ~hBOOL(hAPP(hAPP(c_member(_u12005), _u12011), _u12009)) | ( hAPP(c_Set_Ovimage(_u12013, _u12005, hAPP(hAPP(c_COMBC(_u12013, _u12005, _u12005), hAPP(hAPP(c_COMBC(_u12013, _u12005, tc_fun(_u12005, _u12005)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12005, tc_fun(_u12005, _u12005)), _u12013), c_If(_u12005)), hAPP(hAPP(c_COMBC(_u12013, tc_fun(_u12013, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12013)), _u12015))), _u12007)), _u12011)), _u12009) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12013, tc_HOL_Obool)), _u12015)) )).
% 19.53/19.78 cnf(matrix-5712, plain, ( hBOOL(hAPP(hAPP(c_member(_u12005), _u12007), _u12009)) | hBOOL(hAPP(hAPP(c_member(_u12005), _u12011), _u12009)) | ( hAPP(c_Set_Ovimage(_u12013, _u12005, hAPP(hAPP(c_COMBC(_u12013, _u12005, _u12005), hAPP(hAPP(c_COMBC(_u12013, _u12005, tc_fun(_u12005, _u12005)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12005, tc_fun(_u12005, _u12005)), _u12013), c_If(_u12005)), hAPP(hAPP(c_COMBC(_u12013, tc_fun(_u12013, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12013)), _u12015))), _u12007)), _u12011)), _u12009) = c_Orderings_Obot__class_Obot(tc_fun(_u12013, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5713, plain, ( ( hAPP(c_Set_Oimage(_u12016, tc_prod(_u12017, _u12018), hAPP(hAPP(c_COMBS(_u12016, _u12018, tc_prod(_u12017, _u12018)), hAPP(hAPP(c_COMBB(_u12017, tc_fun(_u12018, tc_prod(_u12017, _u12018)), _u12016), c_Product__Type_OPair(_u12017, _u12018)), _u12019)), _u12020)), _u12021) = hAPP(hAPP(c_Product__Type_OSigma(_u12017, _u12018), hAPP(c_Set_Oimage(_u12016, _u12017, _u12019), _u12021)), hAPP(hAPP(c_COMBB(tc_fun(_u12016, tc_HOL_Obool), tc_fun(_u12018, tc_HOL_Obool), _u12017), c_Set_Oimage(_u12016, _u12018, _u12020)), hAPP(hAPP(c_COMBC(_u12017, tc_fun(_u12016, tc_HOL_Obool), tc_fun(_u12016, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12016, tc_HOL_Obool), tc_fun(tc_fun(_u12016, tc_HOL_Obool), tc_fun(_u12016, tc_HOL_Obool)), _u12017), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12016, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12017, tc_HOL_Obool), tc_fun(_u12016, tc_HOL_Obool), _u12017), c_Set_Ovimage(_u12016, _u12017, _u12019)), hAPP(hAPP(c_COMBC(_u12017, tc_fun(_u12017, tc_HOL_Obool), tc_fun(_u12017, tc_HOL_Obool)), c_Set_Oinsert(_u12017)), c_Orderings_Obot__class_Obot(tc_fun(_u12017, tc_HOL_Obool)))))), _u12021)))) )).
% 19.53/19.78 cnf(matrix-5714, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), _u12023), c_Int_OInteg)) | ~hBOOL(hAPP(_u12024, hAPP(c_Int_ORep__Integ, skolem287(_u12024, _u12023)))) | hBOOL(hAPP(_u12024, _u12023)) )).
% 19.53/19.78 cnf(matrix-5715, plain, ( ( _u12026 = c_Orderings_Obot__class_Obot(tc_fun(_u12027, tc_HOL_Obool))) | c_Fun_Oinj__on(_u12028, _u12029, _u12030, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u12027, tc_fun(_u12028, tc_HOL_Obool)), _u12026), _u12031)) | hBOOL(hAPP(hAPP(c_member(_u12027), skolem288(_u12031, _u12030, _u12029, _u12028, _u12027, _u12026)), _u12026)) )).
% 19.53/19.78 cnf(matrix-5716, plain, ( ( _u12026 = c_Orderings_Obot__class_Obot(tc_fun(_u12027, tc_HOL_Obool))) | c_Fun_Oinj__on(_u12028, _u12029, _u12030, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u12027, tc_fun(_u12028, tc_HOL_Obool)), _u12026), _u12031)) | ~c_Fun_Oinj__on(_u12028, _u12029, _u12030, hAPP(_u12031, skolem288(_u12031, _u12030, _u12029, _u12028, _u12027, _u12026))) )).
% 19.53/19.78 cnf(matrix-5717, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12032), _u12033), _u12034)) | ~hBOOL(hAPP(hAPP(c_member(_u12035), _u12036), hAPP(_u12037, _u12033))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12032, _u12035)), hAPP(hAPP(c_Product__Type_OPair(_u12032, _u12035), _u12033), _u12036)), hAPP(hAPP(c_Product__Type_OSigma(_u12032, _u12035), _u12034), _u12037))) )).
% 19.53/19.78 cnf(matrix-5718, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12038, _u12039), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u12038, tc_HOL_Obool), _u12040)), _u12041) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u12038, tc_HOL_Obool), tc_fun(tc_prod(_u12038, _u12039), tc_HOL_Obool)), _u12040), hAPP(hAPP(c_COMBC(tc_fun(_u12038, tc_HOL_Obool), tc_fun(_u12038, tc_fun(_u12039, tc_HOL_Obool)), tc_fun(tc_prod(_u12038, _u12039), tc_HOL_Obool)), c_Product__Type_OSigma(_u12038, _u12039)), _u12041))) )).
% 19.53/19.78 cnf(matrix-5719, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12042), _u12043), _u12044)) | ( hAPP(hAPP(c_Product__Type_OSigma(_u12045, _u12042), _u12046), hAPP(c_COMBK(tc_fun(_u12042, tc_HOL_Obool), _u12045), _u12044)) != hAPP(hAPP(c_Product__Type_OSigma(_u12045, _u12042), _u12047), hAPP(c_COMBK(tc_fun(_u12042, tc_HOL_Obool), _u12045), _u12044))) | ( _u12046 = _u12047) )).
% 19.53/19.78 cnf(matrix-5720, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12042), _u12043), _u12044)) | ( _u12046 != _u12047) | ( hAPP(hAPP(c_Product__Type_OSigma(_u12045, _u12042), _u12046), hAPP(c_COMBK(tc_fun(_u12042, tc_HOL_Obool), _u12045), _u12044)) = hAPP(hAPP(c_Product__Type_OSigma(_u12045, _u12042), _u12047), hAPP(c_COMBK(tc_fun(_u12042, tc_HOL_Obool), _u12045), _u12044))) )).
% 19.53/19.78 cnf(matrix-5721, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12048, _u12049), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12048, tc_HOL_Obool)), _u12050), _u12051)), _u12052) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12048, _u12049), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12048, _u12049), _u12050), _u12052)), hAPP(hAPP(c_Product__Type_OSigma(_u12048, _u12049), _u12051), _u12052))) )).
% 19.53/19.78 cnf(matrix-5722, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12053, _u12054), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12053, tc_HOL_Obool)), _u12055), _u12056)), hAPP(c_COMBK(tc_fun(_u12054, tc_HOL_Obool), _u12053), _u12057)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12053, _u12054), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12053, _u12054), _u12055), hAPP(c_COMBK(tc_fun(_u12054, tc_HOL_Obool), _u12053), _u12057))), hAPP(hAPP(c_Product__Type_OSigma(_u12053, _u12054), _u12056), hAPP(c_COMBK(tc_fun(_u12054, tc_HOL_Obool), _u12053), _u12057)))) )).
% 19.53/19.78 cnf(matrix-5723, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12058, _u12059), _u12060), hAPP(hAPP(c_COMBS(_u12058, tc_fun(_u12059, tc_HOL_Obool), tc_fun(_u12059, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12059, tc_HOL_Obool), tc_fun(tc_fun(_u12059, tc_HOL_Obool), tc_fun(_u12059, tc_HOL_Obool)), _u12058), c_Groups_Ominus__class_Ominus(tc_fun(_u12059, tc_HOL_Obool))), _u12061)), _u12062)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12058, _u12059), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12058, _u12059), _u12060), _u12061)), hAPP(hAPP(c_Product__Type_OSigma(_u12058, _u12059), _u12060), _u12062))) )).
% 19.53/19.78 cnf(matrix-5724, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12063, _u12064), c_Orderings_Obot__class_Obot(tc_fun(_u12063, tc_HOL_Obool))), _u12065) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12063, _u12064), tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5725, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12066, _u12067)), hAPP(hAPP(c_Product__Type_OSigma(_u12066, _u12067), _u12068), hAPP(c_COMBK(tc_fun(_u12067, tc_HOL_Obool), _u12066), _u12069))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12066), _u12068)), hAPP(c_Finite__Set_Ocard(_u12067), _u12069))) )).
% 19.53/19.78 cnf(matrix-5726, plain, ( ~class_Groups_Ocomm__monoid__add(_u12070) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12071, _u12070), hAPP(hAPP(c_COMBC(_u12071, tc_fun(_u12072, tc_HOL_Obool), _u12070), hAPP(hAPP(c_COMBB(tc_fun(_u12072, _u12070), tc_fun(tc_fun(_u12072, tc_HOL_Obool), _u12070), _u12071), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12072, _u12070)), _u12073)), _u12074)), _u12075) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u12071, _u12072), _u12070), hAPP(c_Product__Type_Oprod_Oprod__case(_u12071, _u12072, _u12070), _u12073)), hAPP(hAPP(c_Product__Type_OSigma(_u12071, _u12072), _u12075), hAPP(c_COMBK(tc_fun(_u12072, tc_HOL_Obool), _u12071), _u12074)))) )).
% 19.53/19.78 cnf(matrix-5727, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12076, _u12077), _u12078), hAPP(c_COMBK(tc_fun(_u12077, tc_HOL_Obool), _u12076), c_Orderings_Obot__class_Obot(tc_fun(_u12077, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12076, _u12077), tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5728, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12083, _u12085), _u12087), hAPP(c_COMBK(tc_fun(_u12085, tc_HOL_Obool), _u12083), _u12089)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12083, _u12085), tc_HOL_Obool))) | ( _u12087 = c_Orderings_Obot__class_Obot(tc_fun(_u12083, tc_HOL_Obool))) | ( _u12089 = c_Orderings_Obot__class_Obot(tc_fun(_u12085, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5729, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12084, _u12086), _u12088), hAPP(c_COMBK(tc_fun(_u12086, tc_HOL_Obool), _u12084), _u12090)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12084, _u12086), tc_HOL_Obool))) | ( _u12088 != c_Orderings_Obot__class_Obot(tc_fun(_u12084, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5730, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12084, _u12086), _u12088), hAPP(c_COMBK(tc_fun(_u12086, tc_HOL_Obool), _u12084), _u12090)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12084, _u12086), tc_HOL_Obool))) | ( _u12090 != c_Orderings_Obot__class_Obot(tc_fun(_u12086, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5731, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u12091, _u12092), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12091, _u12092), c_Orderings_Otop__class_Otop(tc_fun(_u12091, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u12092, tc_HOL_Obool), _u12091), _u12093))) = hAPP(hAPP(c_Product__Type_OSigma(_u12091, _u12092), c_Orderings_Otop__class_Otop(tc_fun(_u12091, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u12092, tc_HOL_Obool), _u12091), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12092, tc_HOL_Obool)), _u12093)))) )).
% 19.53/19.78 cnf(matrix-5732, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u12094, _u12095), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12094, _u12095), _u12096), hAPP(c_COMBK(tc_fun(_u12095, tc_HOL_Obool), _u12094), c_Orderings_Otop__class_Otop(tc_fun(_u12095, tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(_u12094, _u12095), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12094, tc_HOL_Obool)), _u12096)), hAPP(c_COMBK(tc_fun(_u12095, tc_HOL_Obool), _u12094), c_Orderings_Otop__class_Otop(tc_fun(_u12095, tc_HOL_Obool))))) )).
% 19.53/19.78 cnf(matrix-5733, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12097) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12098, _u12097), hAPP(hAPP(c_COMBC(_u12098, tc_fun(_u12099, tc_HOL_Obool), _u12097), hAPP(hAPP(c_COMBB(tc_fun(_u12099, _u12097), tc_fun(tc_fun(_u12099, tc_HOL_Obool), _u12097), _u12098), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12099, _u12097)), _u12100)), _u12101)), _u12102) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u12098, _u12099), _u12097), hAPP(c_Product__Type_Oprod_Oprod__case(_u12098, _u12099, _u12097), _u12100)), hAPP(hAPP(c_Product__Type_OSigma(_u12098, _u12099), _u12102), hAPP(c_COMBK(tc_fun(_u12099, tc_HOL_Obool), _u12098), _u12101)))) )).
% 19.53/19.78 cnf(matrix-5734, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12103, _u12104), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12103, tc_HOL_Obool)), _u12105), _u12106)), _u12107) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12103, _u12104), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12103, _u12104), _u12105), _u12107)), hAPP(hAPP(c_Product__Type_OSigma(_u12103, _u12104), _u12106), _u12107))) )).
% 19.53/19.78 cnf(matrix-5735, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12108, _u12109), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12108, tc_HOL_Obool)), _u12110), _u12111)), hAPP(c_COMBK(tc_fun(_u12109, tc_HOL_Obool), _u12108), _u12112)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12108, _u12109), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12108, _u12109), _u12110), hAPP(c_COMBK(tc_fun(_u12109, tc_HOL_Obool), _u12108), _u12112))), hAPP(hAPP(c_Product__Type_OSigma(_u12108, _u12109), _u12111), hAPP(c_COMBK(tc_fun(_u12109, tc_HOL_Obool), _u12108), _u12112)))) )).
% 19.53/19.78 cnf(matrix-5736, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12113, _u12114), _u12115), hAPP(hAPP(c_COMBS(_u12113, tc_fun(_u12114, tc_HOL_Obool), tc_fun(_u12114, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12114, tc_HOL_Obool), tc_fun(tc_fun(_u12114, tc_HOL_Obool), tc_fun(_u12114, tc_HOL_Obool)), _u12113), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12114, tc_HOL_Obool))), _u12116)), _u12117)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12113, _u12114), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12113, _u12114), _u12115), _u12116)), hAPP(hAPP(c_Product__Type_OSigma(_u12113, _u12114), _u12115), _u12117))) )).
% 19.53/19.78 cnf(matrix-5737, plain, ( ( hAPP(c_Set_Oimage(tc_prod(_u12118, _u12119), tc_prod(_u12119, _u12118), hAPP(c_Product__Type_Oprod_Oprod__case(_u12118, _u12119, tc_prod(_u12119, _u12118)), hAPP(c_COMBC(_u12119, _u12118, tc_prod(_u12119, _u12118)), c_Product__Type_OPair(_u12119, _u12118)))), hAPP(hAPP(c_Product__Type_OSigma(_u12118, _u12119), _u12120), hAPP(c_COMBK(tc_fun(_u12119, tc_HOL_Obool), _u12118), _u12121))) = hAPP(hAPP(c_Product__Type_OSigma(_u12119, _u12118), _u12121), hAPP(c_COMBK(tc_fun(_u12118, tc_HOL_Obool), _u12119), _u12120))) )).
% 19.53/19.78 cnf(matrix-5738, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12122), _u12123)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12124), _u12125)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12122, _u12124)), hAPP(hAPP(c_Product__Type_OSigma(_u12122, _u12124), _u12123), hAPP(c_COMBK(tc_fun(_u12124, tc_HOL_Obool), _u12122), _u12125)))) )).
% 19.53/19.78 cnf(matrix-5739, plain, ( ~c_Equiv__Relations_Oequiv(_u12126, _u12127, _u12128) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12126, _u12126), tc_HOL_Obool)), _u12128), hAPP(hAPP(c_Product__Type_OSigma(_u12126, _u12126), _u12127), hAPP(c_COMBK(tc_fun(_u12126, tc_HOL_Obool), _u12126), _u12127)))) )).
% 19.53/19.78 cnf(matrix-5740, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12129, _u12130), _u12131), hAPP(hAPP(c_COMBS(_u12129, tc_fun(_u12130, tc_HOL_Obool), tc_fun(_u12130, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12130, tc_HOL_Obool), tc_fun(tc_fun(_u12130, tc_HOL_Obool), tc_fun(_u12130, tc_HOL_Obool)), _u12129), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12130, tc_HOL_Obool))), _u12132)), _u12133)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12129, _u12130), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12129, _u12130), _u12131), _u12132)), hAPP(hAPP(c_Product__Type_OSigma(_u12129, _u12130), _u12131), _u12133))) )).
% 19.53/19.78 cnf(matrix-5741, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12134, _u12135), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12134, tc_HOL_Obool)), _u12136), _u12137)), hAPP(c_COMBK(tc_fun(_u12135, tc_HOL_Obool), _u12134), _u12138)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12134, _u12135), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12134, _u12135), _u12136), hAPP(c_COMBK(tc_fun(_u12135, tc_HOL_Obool), _u12134), _u12138))), hAPP(hAPP(c_Product__Type_OSigma(_u12134, _u12135), _u12137), hAPP(c_COMBK(tc_fun(_u12135, tc_HOL_Obool), _u12134), _u12138)))) )).
% 19.53/19.78 cnf(matrix-5742, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12139, _u12140), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12139, tc_HOL_Obool)), _u12141), _u12142)), _u12143) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12139, _u12140), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12139, _u12140), _u12141), _u12143)), hAPP(hAPP(c_Product__Type_OSigma(_u12139, _u12140), _u12142), _u12143))) )).
% 19.53/19.78 cnf(matrix-5743, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12144, _u12144), tc_HOL_Obool)), c_Relation_OId__on(_u12144, _u12145)), hAPP(hAPP(c_Product__Type_OSigma(_u12144, _u12144), _u12145), hAPP(c_COMBK(tc_fun(_u12144, tc_HOL_Obool), _u12144), _u12145)))) )).
% 19.53/19.78 cnf(matrix-5744, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12146, _u12147), c_Orderings_Otop__class_Otop(tc_fun(_u12146, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u12147, tc_HOL_Obool), _u12146), c_Orderings_Otop__class_Otop(tc_fun(_u12147, tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u12146, _u12147), tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5745, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12154, _u12156)), hAPP(hAPP(c_Product__Type_OPair(_u12154, _u12156), _u12158), _u12160)), hAPP(hAPP(c_Product__Type_OSigma(_u12154, _u12156), _u12162), _u12164))) | hBOOL(hAPP(hAPP(c_member(_u12154), _u12158), _u12162)) )).
% 19.53/19.78 cnf(matrix-5746, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12154, _u12156)), hAPP(hAPP(c_Product__Type_OPair(_u12154, _u12156), _u12158), _u12160)), hAPP(hAPP(c_Product__Type_OSigma(_u12154, _u12156), _u12162), _u12164))) | hBOOL(hAPP(hAPP(c_member(_u12156), _u12160), hAPP(_u12164, _u12158))) )).
% 19.53/19.78 cnf(matrix-5747, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12155), _u12159), _u12163)) | ~hBOOL(hAPP(hAPP(c_member(_u12157), _u12161), hAPP(_u12165, _u12159))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12155, _u12157)), hAPP(hAPP(c_Product__Type_OPair(_u12155, _u12157), _u12159), _u12161)), hAPP(hAPP(c_Product__Type_OSigma(_u12155, _u12157), _u12163), _u12165))) )).
% 19.53/19.78 cnf(matrix-5748, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12166, _u12167)), hAPP(hAPP(c_Product__Type_OPair(_u12166, _u12167), _u12168), _u12169)), hAPP(hAPP(c_Product__Type_OSigma(_u12166, _u12167), _u12170), _u12171))) | hBOOL(hAPP(hAPP(c_member(_u12166), _u12168), _u12170)) )).
% 19.53/19.78 cnf(matrix-5749, plain, ( hBOOL(hAPP(hAPP(c_member(_u12173), _u12175), hAPP(_u12177, _u12174))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12172, _u12173)), hAPP(hAPP(c_Product__Type_OPair(_u12172, _u12173), _u12174), _u12175)), hAPP(hAPP(c_Product__Type_OSigma(_u12172, _u12173), _u12176), _u12177))) )).
% 19.53/19.78 cnf(matrix-5750, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12178, _u12179)), hAPP(hAPP(c_Product__Type_OPair(_u12178, _u12179), _u12180), _u12181)), hAPP(hAPP(c_Product__Type_OSigma(_u12178, _u12179), _u12182), _u12183))) | hBOOL(hAPP(hAPP(c_member(_u12178), _u12180), _u12182)) )).
% 19.53/19.78 cnf(matrix-5751, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12178, _u12179)), hAPP(hAPP(c_Product__Type_OPair(_u12178, _u12179), _u12180), _u12181)), hAPP(hAPP(c_Product__Type_OSigma(_u12178, _u12179), _u12182), _u12183))) | hBOOL(hAPP(hAPP(c_member(_u12179), _u12181), hAPP(_u12183, _u12180))) )).
% 19.53/19.78 cnf(matrix-5752, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12184, _u12185)), hAPP(hAPP(c_Product__Type_OSigma(_u12184, _u12185), hAPP(hAPP(c_Set_Oinsert(_u12184), _u12186), c_Orderings_Obot__class_Obot(tc_fun(_u12184, tc_HOL_Obool)))), hAPP(c_COMBK(tc_fun(_u12185, tc_HOL_Obool), _u12184), _u12187))) = hAPP(c_Finite__Set_Ocard(_u12185), _u12187)) )).
% 19.53/19.78 cnf(matrix-5753, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12188), _u12189), _u12190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12191, _u12188), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12191, _u12188), _u12192), hAPP(c_COMBK(tc_fun(_u12188, tc_HOL_Obool), _u12191), _u12190))), hAPP(hAPP(c_Product__Type_OSigma(_u12191, _u12188), _u12193), hAPP(c_COMBK(tc_fun(_u12188, tc_HOL_Obool), _u12191), _u12190)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12191, tc_HOL_Obool)), _u12192), _u12193)) )).
% 19.53/19.78 cnf(matrix-5754, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12188), _u12189), _u12190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12191, tc_HOL_Obool)), _u12192), _u12193)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12191, _u12188), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12191, _u12188), _u12192), hAPP(c_COMBK(tc_fun(_u12188, tc_HOL_Obool), _u12191), _u12190))), hAPP(hAPP(c_Product__Type_OSigma(_u12191, _u12188), _u12193), hAPP(c_COMBK(tc_fun(_u12188, tc_HOL_Obool), _u12191), _u12190)))) )).
% 19.53/19.78 cnf(matrix-5755, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12194, _u12195), tc_HOL_Obool)), _u12196), hAPP(hAPP(c_Product__Type_OSigma(_u12194, _u12195), _u12197), hAPP(c_COMBK(tc_fun(_u12195, tc_HOL_Obool), _u12194), _u12198)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12195, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12194, _u12195, _u12196), _u12199)), _u12198)) )).
% 19.53/19.78 cnf(matrix-5756, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12200, _u12201)), hAPP(hAPP(c_Product__Type_OSigma(_u12200, _u12201), _u12202), hAPP(c_COMBK(tc_fun(_u12201, tc_HOL_Obool), _u12200), _u12203)))) | ( _u12202 = c_Orderings_Obot__class_Obot(tc_fun(_u12200, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12201), _u12203)) )).
% 19.53/19.78 cnf(matrix-5757, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12204, _u12205)), hAPP(hAPP(c_Product__Type_OSigma(_u12204, _u12205), _u12206), hAPP(c_COMBK(tc_fun(_u12205, tc_HOL_Obool), _u12204), _u12207)))) | ( _u12207 = c_Orderings_Obot__class_Obot(tc_fun(_u12205, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12204), _u12206)) )).
% 19.53/19.78 cnf(matrix-5758, plain, ( ( _u12212 != c_Orderings_Obot__class_Obot(tc_fun(_u12214, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12216, _u12214), _u12216, c_Product__Type_Ofst(_u12216, _u12214)), hAPP(hAPP(c_Product__Type_OSigma(_u12216, _u12214), _u12218), hAPP(c_COMBK(tc_fun(_u12214, tc_HOL_Obool), _u12216), _u12212))) = c_Orderings_Obot__class_Obot(tc_fun(_u12216, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5759, plain, ( ( _u12213 = c_Orderings_Obot__class_Obot(tc_fun(_u12215, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12217, _u12215), _u12217, c_Product__Type_Ofst(_u12217, _u12215)), hAPP(hAPP(c_Product__Type_OSigma(_u12217, _u12215), _u12219), hAPP(c_COMBK(tc_fun(_u12215, tc_HOL_Obool), _u12217), _u12213))) = _u12219) )).
% 19.53/19.78 cnf(matrix-5760, plain, ( ( _u12224 != c_Orderings_Obot__class_Obot(tc_fun(_u12226, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12226, _u12228), _u12228, c_Product__Type_Osnd(_u12226, _u12228)), hAPP(hAPP(c_Product__Type_OSigma(_u12226, _u12228), _u12224), hAPP(c_COMBK(tc_fun(_u12228, tc_HOL_Obool), _u12226), _u12230))) = c_Orderings_Obot__class_Obot(tc_fun(_u12228, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5761, plain, ( ( _u12225 = c_Orderings_Obot__class_Obot(tc_fun(_u12227, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12227, _u12229), _u12229, c_Product__Type_Osnd(_u12227, _u12229)), hAPP(hAPP(c_Product__Type_OSigma(_u12227, _u12229), _u12225), hAPP(c_COMBK(tc_fun(_u12229, tc_HOL_Obool), _u12227), _u12231))) = _u12231) )).
% 19.53/19.78 cnf(matrix-5762, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12232, _u12233), hAPP(hAPP(c_Set_Oinsert(_u12232), _u12234), _u12235)), hAPP(c_COMBK(tc_fun(_u12233, tc_HOL_Obool), _u12232), hAPP(hAPP(c_Set_Oinsert(_u12233), _u12236), _u12237))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(_u12232, _u12233)), hAPP(hAPP(c_Product__Type_OPair(_u12232, _u12233), _u12234), _u12236)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12232, _u12233), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12232, _u12233), _u12235), hAPP(c_COMBK(tc_fun(_u12233, tc_HOL_Obool), _u12232), hAPP(hAPP(c_Set_Oinsert(_u12233), _u12236), _u12237)))), hAPP(hAPP(c_Product__Type_OSigma(_u12232, _u12233), hAPP(hAPP(c_Set_Oinsert(_u12232), _u12234), _u12235)), hAPP(c_COMBK(tc_fun(_u12233, tc_HOL_Obool), _u12232), _u12237))))) )).
% 19.53/19.78 cnf(matrix-5763, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12238), _u12239)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12238, _u12238), tc_HOL_Obool)), _u12240), hAPP(hAPP(c_Product__Type_OSigma(_u12238, _u12238), _u12239), hAPP(c_COMBK(tc_fun(_u12238, tc_HOL_Obool), _u12238), _u12239)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12238, tc_HOL_Obool)), _u12241), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12238), _u12239), _u12240))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12238), _u12241)) )).
% 19.53/19.78 cnf(matrix-5764, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(_u12242, _u12243), tc_fun(tc_prod(_u12244, _u12245), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12242, _u12243), _u12246), hAPP(c_COMBK(tc_fun(_u12243, tc_HOL_Obool), _u12242), _u12247))), hAPP(c_Product__Type_Oprod_Oprod__case(_u12242, _u12243, tc_fun(tc_prod(_u12244, _u12245), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u12242, tc_fun(_u12243, tc_fun(_u12244, tc_fun(_u12245, tc_HOL_Obool))), tc_fun(_u12243, tc_fun(tc_prod(_u12244, _u12245), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12244, tc_fun(_u12245, tc_HOL_Obool)), tc_fun(tc_prod(_u12244, _u12245), tc_HOL_Obool)), tc_fun(tc_fun(_u12243, tc_fun(_u12244, tc_fun(_u12245, tc_HOL_Obool))), tc_fun(_u12243, tc_fun(tc_prod(_u12244, _u12245), tc_HOL_Obool))), _u12242), c_COMBB(tc_fun(_u12244, tc_fun(_u12245, tc_HOL_Obool)), tc_fun(tc_prod(_u12244, _u12245), tc_HOL_Obool), _u12243)), hAPP(hAPP(c_COMBB(tc_fun(_u12244, tc_HOL_Obool), tc_fun(tc_fun(_u12244, tc_fun(_u12245, tc_HOL_Obool)), tc_fun(tc_prod(_u12244, _u12245), tc_HOL_Obool)), _u12242), c_Product__Type_OSigma(_u12244, _u12245)), _u12248))), hAPP(hAPP(c_COMBB(tc_fun(_u12245, tc_HOL_Obool), tc_fun(_u12244, tc_fun(_u12245, tc_HOL_Obool)), _u12243), c_COMBK(tc_fun(_u12245, tc_HOL_Obool), _u12244)), _u12249)))) = hAPP(hAPP(c_Product__Type_OSigma(_u12244, _u12245), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12242, tc_fun(_u12244, tc_HOL_Obool)), _u12246), _u12248)), hAPP(c_COMBK(tc_fun(_u12245, tc_HOL_Obool), _u12244), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12243, tc_fun(_u12245, tc_HOL_Obool)), _u12247), _u12249)))) )).
% 19.53/19.78 cnf(matrix-5765, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12250, _u12251), _u12252), _u12253) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12250, tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool)), _u12252), hAPP(hAPP(c_COMBS(_u12250, tc_fun(_u12251, tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool)), tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12251, tc_HOL_Obool), tc_fun(tc_fun(_u12251, tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool)), tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool)), _u12250), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12251, tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool))), _u12253)), hAPP(hAPP(c_COMBC(_u12250, tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool), tc_fun(_u12251, tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12251, tc_fun(tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool), tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool), tc_fun(_u12251, tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool))), _u12250), c_COMBC(_u12251, tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool), tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12251, tc_prod(_u12250, _u12251)), tc_fun(_u12251, tc_fun(tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool), tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool))), _u12250), hAPP(c_COMBB(tc_prod(_u12250, _u12251), tc_fun(tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool), tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool)), _u12251), c_Set_Oinsert(tc_prod(_u12250, _u12251)))), c_Product__Type_OPair(_u12250, _u12251)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12250, _u12251), tc_HOL_Obool)))))) )).
% 19.53/19.78 cnf(matrix-5766, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12254), _u12255)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12254, _u12254), tc_HOL_Obool)), _u12256), hAPP(hAPP(c_Product__Type_OSigma(_u12254, _u12254), _u12255), hAPP(c_COMBK(tc_fun(_u12254, tc_HOL_Obool), _u12254), _u12255)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u12254, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12254), _u12255), _u12256))) )).
% 19.53/19.78 cnf(matrix-5767, plain, ( c_Fun_Oinj__on(_u12258, tc_prod(_u12259, _u12258), skolem289(_u12261, _u12260, _u12259, _u12258), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12259, tc_fun(_u12258, tc_HOL_Obool)), _u12260), _u12261)) )).
% 19.53/19.78 cnf(matrix-5768, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12259, _u12258), tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12258, tc_prod(_u12259, _u12258), skolem289(_u12261, _u12260, _u12259, _u12258)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12259, tc_fun(_u12258, tc_HOL_Obool)), _u12260), _u12261))), hAPP(hAPP(c_Product__Type_OSigma(_u12259, _u12258), _u12260), _u12261))) )).
% 19.53/19.78 cnf(matrix-5769, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12263) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12264), _u12265)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12263, _u12264, c_Groups_Otimes__class_Otimes(_u12263)), hAPP(hAPP(c_COMBS(_u12264, tc_fun(_u12266, tc_HOL_Obool), _u12263), hAPP(hAPP(c_COMBC(_u12264, _u12263, tc_fun(tc_fun(_u12266, tc_HOL_Obool), _u12263)), hAPP(hAPP(c_COMBB(tc_fun(_u12266, _u12263), tc_fun(_u12263, tc_fun(tc_fun(_u12266, tc_HOL_Obool), _u12263)), _u12264), c_Finite__Set_Ofold__image(_u12263, _u12266, c_Groups_Otimes__class_Otimes(_u12263))), _u12268)), c_Groups_Oone__class_Oone(_u12263))), _u12267)), c_Groups_Oone__class_Oone(_u12263)), _u12265) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12263, tc_prod(_u12264, _u12266), c_Groups_Otimes__class_Otimes(_u12263)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12264, _u12266, _u12263), _u12268)), c_Groups_Oone__class_Oone(_u12263)), hAPP(hAPP(c_Product__Type_OSigma(_u12264, _u12266), _u12265), _u12267))) | hBOOL(hAPP(hAPP(c_member(_u12264), skolem290(_u12268, _u12267, _u12266, _u12265, _u12264, _u12263)), _u12265)) )).
% 19.53/19.78 cnf(matrix-5770, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12263) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12264), _u12265)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12263, _u12264, c_Groups_Otimes__class_Otimes(_u12263)), hAPP(hAPP(c_COMBS(_u12264, tc_fun(_u12266, tc_HOL_Obool), _u12263), hAPP(hAPP(c_COMBC(_u12264, _u12263, tc_fun(tc_fun(_u12266, tc_HOL_Obool), _u12263)), hAPP(hAPP(c_COMBB(tc_fun(_u12266, _u12263), tc_fun(_u12263, tc_fun(tc_fun(_u12266, tc_HOL_Obool), _u12263)), _u12264), c_Finite__Set_Ofold__image(_u12263, _u12266, c_Groups_Otimes__class_Otimes(_u12263))), _u12268)), c_Groups_Oone__class_Oone(_u12263))), _u12267)), c_Groups_Oone__class_Oone(_u12263)), _u12265) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12263, tc_prod(_u12264, _u12266), c_Groups_Otimes__class_Otimes(_u12263)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12264, _u12266, _u12263), _u12268)), c_Groups_Oone__class_Oone(_u12263)), hAPP(hAPP(c_Product__Type_OSigma(_u12264, _u12266), _u12265), _u12267))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12266), hAPP(_u12267, skolem290(_u12268, _u12267, _u12266, _u12265, _u12264, _u12263)))) )).
% 19.53/19.78 cnf(matrix-5771, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12270), _u12271)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12270, _u12272)), hAPP(hAPP(c_Product__Type_OSigma(_u12270, _u12272), _u12271), _u12273))) | hBOOL(hAPP(hAPP(c_member(_u12270), skolem291(_u12273, _u12272, _u12271, _u12270)), _u12271)) )).
% 19.53/19.78 cnf(matrix-5772, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12270), _u12271)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12270, _u12272)), hAPP(hAPP(c_Product__Type_OSigma(_u12270, _u12272), _u12271), _u12273))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12272), hAPP(_u12273, skolem291(_u12273, _u12272, _u12271, _u12270)))) )).
% 19.53/19.78 cnf(matrix-5773, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12275) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12276), _u12277)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12276, _u12275), hAPP(hAPP(c_COMBS(_u12276, tc_fun(_u12278, tc_HOL_Obool), _u12275), hAPP(hAPP(c_COMBB(tc_fun(_u12278, _u12275), tc_fun(tc_fun(_u12278, tc_HOL_Obool), _u12275), _u12276), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12278, _u12275)), _u12280)), _u12279)), _u12277) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u12276, _u12278), _u12275), hAPP(c_Product__Type_Oprod_Oprod__case(_u12276, _u12278, _u12275), _u12280)), hAPP(hAPP(c_Product__Type_OSigma(_u12276, _u12278), _u12277), _u12279))) | hBOOL(hAPP(hAPP(c_member(_u12276), skolem292(_u12280, _u12279, _u12278, _u12277, _u12276, _u12275)), _u12277)) )).
% 19.53/19.78 cnf(matrix-5774, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12275) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12276), _u12277)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12276, _u12275), hAPP(hAPP(c_COMBS(_u12276, tc_fun(_u12278, tc_HOL_Obool), _u12275), hAPP(hAPP(c_COMBB(tc_fun(_u12278, _u12275), tc_fun(tc_fun(_u12278, tc_HOL_Obool), _u12275), _u12276), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12278, _u12275)), _u12280)), _u12279)), _u12277) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u12276, _u12278), _u12275), hAPP(c_Product__Type_Oprod_Oprod__case(_u12276, _u12278, _u12275), _u12280)), hAPP(hAPP(c_Product__Type_OSigma(_u12276, _u12278), _u12277), _u12279))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12278), hAPP(_u12279, skolem292(_u12280, _u12279, _u12278, _u12277, _u12276, _u12275)))) )).
% 19.53/19.78 cnf(matrix-5775, plain, ( ~class_Groups_Ocomm__monoid__add(_u12282) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12283), _u12284)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12283, _u12282), hAPP(hAPP(c_COMBS(_u12283, tc_fun(_u12285, tc_HOL_Obool), _u12282), hAPP(hAPP(c_COMBB(tc_fun(_u12285, _u12282), tc_fun(tc_fun(_u12285, tc_HOL_Obool), _u12282), _u12283), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12285, _u12282)), _u12287)), _u12286)), _u12284) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u12283, _u12285), _u12282), hAPP(c_Product__Type_Oprod_Oprod__case(_u12283, _u12285, _u12282), _u12287)), hAPP(hAPP(c_Product__Type_OSigma(_u12283, _u12285), _u12284), _u12286))) | hBOOL(hAPP(hAPP(c_member(_u12283), skolem293(_u12287, _u12286, _u12285, _u12284, _u12283, _u12282)), _u12284)) )).
% 19.53/19.78 cnf(matrix-5776, plain, ( ~class_Groups_Ocomm__monoid__add(_u12282) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12283), _u12284)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12283, _u12282), hAPP(hAPP(c_COMBS(_u12283, tc_fun(_u12285, tc_HOL_Obool), _u12282), hAPP(hAPP(c_COMBB(tc_fun(_u12285, _u12282), tc_fun(tc_fun(_u12285, tc_HOL_Obool), _u12282), _u12283), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12285, _u12282)), _u12287)), _u12286)), _u12284) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u12283, _u12285), _u12282), hAPP(c_Product__Type_Oprod_Oprod__case(_u12283, _u12285, _u12282), _u12287)), hAPP(hAPP(c_Product__Type_OSigma(_u12283, _u12285), _u12284), _u12286))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12285), hAPP(_u12286, skolem293(_u12287, _u12286, _u12285, _u12284, _u12283, _u12282)))) )).
% 19.53/19.78 cnf(matrix-5777, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12289), _u12290)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12289, _u12291)), hAPP(hAPP(c_Product__Type_OSigma(_u12289, _u12291), _u12290), _u12292)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12289, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u12291, tc_HOL_Obool), tc_Nat_Onat, _u12289), c_Finite__Set_Ocard(_u12291)), _u12292)), _u12290)) | hBOOL(hAPP(hAPP(c_member(_u12289), skolem294(_u12292, _u12291, _u12290, _u12289)), _u12290)) )).
% 19.53/19.78 cnf(matrix-5778, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12289), _u12290)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12289, _u12291)), hAPP(hAPP(c_Product__Type_OSigma(_u12289, _u12291), _u12290), _u12292)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12289, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u12291, tc_HOL_Obool), tc_Nat_Onat, _u12289), c_Finite__Set_Ocard(_u12291)), _u12292)), _u12290)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12291), hAPP(_u12292, skolem294(_u12292, _u12291, _u12290, _u12289)))) )).
% 19.53/19.78 cnf(matrix-5779, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12295, _u12296)), _u12297), hAPP(hAPP(c_Product__Type_OSigma(_u12295, _u12296), _u12298), _u12299))) | hBOOL(hAPP(hAPP(c_member(_u12295), skolem295(_u12299, _u12298, _u12297, _u12296, _u12295)), _u12298)) )).
% 19.53/19.78 cnf(matrix-5780, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12295, _u12296)), _u12297), hAPP(hAPP(c_Product__Type_OSigma(_u12295, _u12296), _u12298), _u12299))) | hBOOL(hAPP(hAPP(c_member(_u12296), skolem296(_u12299, _u12298, _u12297, _u12296, _u12295)), hAPP(_u12299, skolem295(_u12299, _u12298, _u12297, _u12296, _u12295)))) )).
% 19.53/19.78 cnf(matrix-5781, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12295, _u12296)), _u12297), hAPP(hAPP(c_Product__Type_OSigma(_u12295, _u12296), _u12298), _u12299))) | ( _u12297 = hAPP(hAPP(c_Product__Type_OPair(_u12295, _u12296), skolem295(_u12299, _u12298, _u12297, _u12296, _u12295)), skolem296(_u12299, _u12298, _u12297, _u12296, _u12295))) )).
% 19.53/19.78 cnf(matrix-5782, plain, ( ( hAPP(c_Set_Oimage(_u12300, _u12301, _u12302), c_Orderings_Otop__class_Otop(tc_fun(_u12300, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u12301, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u12303, _u12304, _u12305), c_Orderings_Otop__class_Otop(tc_fun(_u12303, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u12304, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12300, _u12303), tc_prod(_u12301, _u12304), c_Product__Type_Omap__pair(_u12300, _u12301, _u12303, _u12304, _u12302, _u12305)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u12300, _u12303), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u12301, _u12304), tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5783, plain, ( ~c_Fun_Oinj__on(_u12306, _u12307, _u12308, _u12309) | ~c_Fun_Oinj__on(_u12310, _u12311, _u12312, _u12313) | c_Fun_Oinj__on(tc_prod(_u12306, _u12310), tc_prod(_u12307, _u12311), c_Product__Type_Omap__pair(_u12306, _u12307, _u12310, _u12311, _u12308, _u12312), hAPP(hAPP(c_Product__Type_OSigma(_u12306, _u12310), _u12309), hAPP(c_COMBK(tc_fun(_u12310, tc_HOL_Obool), _u12306), _u12313))) )).
% 19.53/19.78 cnf(matrix-5784, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12314, _u12315)), hAPP(hAPP(c_Product__Type_OPair(_u12314, _u12315), _u12316), _u12317)), _u12318)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12319, _u12320)), hAPP(hAPP(c_Product__Type_OPair(_u12319, _u12320), hAPP(_u12321, _u12316)), hAPP(_u12322, _u12317))), hAPP(c_Set_Oimage(tc_prod(_u12314, _u12315), tc_prod(_u12319, _u12320), c_Product__Type_Omap__pair(_u12314, _u12319, _u12315, _u12320, _u12321, _u12322)), _u12318))) )).
% 19.53/19.78 cnf(matrix-5785, plain, ( ( hAPP(c_Product__Type_Osnd(_u12323, _u12324), hAPP(c_Product__Type_Omap__pair(_u12325, _u12323, _u12326, _u12324, _u12327, _u12328), _u12329)) = hAPP(_u12328, hAPP(c_Product__Type_Osnd(_u12325, _u12326), _u12329))) )).
% 19.53/19.78 cnf(matrix-5786, plain, ( ( hAPP(c_Product__Type_Omap__pair(_u12330, _u12330, _u12331, _u12331, c_COMBI(_u12330), c_COMBI(_u12331)), _u12332) = _u12332) )).
% 19.53/19.78 cnf(matrix-5787, plain, ( ( hAPP(c_Product__Type_Ofst(_u12333, _u12334), hAPP(c_Product__Type_Omap__pair(_u12335, _u12333, _u12336, _u12334, _u12337, _u12338), _u12339)) = hAPP(_u12337, hAPP(c_Product__Type_Ofst(_u12335, _u12336), _u12339))) )).
% 19.53/19.78 cnf(matrix-5788, plain, ( ( hAPP(c_Product__Type_Omap__pair(_u12340, _u12341, _u12342, _u12343, _u12344, _u12345), hAPP(hAPP(c_Product__Type_OPair(_u12340, _u12342), _u12346), _u12347)) = hAPP(hAPP(c_Product__Type_OPair(_u12341, _u12343), hAPP(_u12344, _u12346)), hAPP(_u12345, _u12347))) )).
% 19.53/19.78 cnf(matrix-5789, plain, ( ( c_Product__Type_Omap__pair(_u12348, _u12349, _u12350, _u12351, _u12352, _u12353) = hAPP(c_Product__Type_Oprod_Oprod__case(_u12348, _u12350, tc_prod(_u12349, _u12351)), hAPP(hAPP(c_COMBC(_u12348, tc_fun(_u12350, _u12351), tc_fun(_u12350, tc_prod(_u12349, _u12351))), hAPP(hAPP(c_COMBB(tc_fun(_u12351, tc_prod(_u12349, _u12351)), tc_fun(tc_fun(_u12350, _u12351), tc_fun(_u12350, tc_prod(_u12349, _u12351))), _u12348), c_COMBB(_u12351, tc_prod(_u12349, _u12351), _u12350)), hAPP(hAPP(c_COMBB(_u12349, tc_fun(_u12351, tc_prod(_u12349, _u12351)), _u12348), c_Product__Type_OPair(_u12349, _u12351)), _u12352))), _u12353))) )).
% 19.53/19.78 cnf(matrix-5790, plain, ( ( hAPP(c_Set_Oimage(_u12354, _u12355, _u12356), _u12357) != _u12358) | ( hAPP(c_Set_Oimage(_u12359, _u12360, _u12361), _u12362) != _u12363) | ( hAPP(c_Set_Oimage(tc_prod(_u12354, _u12359), tc_prod(_u12355, _u12360), c_Product__Type_Omap__pair(_u12354, _u12355, _u12359, _u12360, _u12356, _u12361)), hAPP(hAPP(c_Product__Type_OSigma(_u12354, _u12359), _u12357), hAPP(c_COMBK(tc_fun(_u12359, tc_HOL_Obool), _u12354), _u12362))) = hAPP(hAPP(c_Product__Type_OSigma(_u12355, _u12360), _u12358), hAPP(c_COMBK(tc_fun(_u12360, tc_HOL_Obool), _u12355), _u12363))) )).
% 19.53/19.78 cnf(matrix-5791, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12366, _u12367)), _u12368), hAPP(c_Set_Oimage(tc_prod(_u12369, _u12370), tc_prod(_u12366, _u12367), c_Product__Type_Omap__pair(_u12369, _u12366, _u12370, _u12367, _u12371, _u12372)), _u12373))) | ( _u12368 = hAPP(hAPP(c_Product__Type_OPair(_u12366, _u12367), hAPP(_u12371, skolem297(_u12373, _u12372, _u12371, _u12370, _u12369, _u12368, _u12367, _u12366))), hAPP(_u12372, skolem298(_u12373, _u12372, _u12371, _u12370, _u12369, _u12368, _u12367, _u12366)))) )).
% 19.53/19.78 cnf(matrix-5792, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12366, _u12367)), _u12368), hAPP(c_Set_Oimage(tc_prod(_u12369, _u12370), tc_prod(_u12366, _u12367), c_Product__Type_Omap__pair(_u12369, _u12366, _u12370, _u12367, _u12371, _u12372)), _u12373))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12369, _u12370)), hAPP(hAPP(c_Product__Type_OPair(_u12369, _u12370), skolem297(_u12373, _u12372, _u12371, _u12370, _u12369, _u12368, _u12367, _u12366)), skolem298(_u12373, _u12372, _u12371, _u12370, _u12369, _u12368, _u12367, _u12366))), _u12373)) )).
% 19.53/19.78 cnf(matrix-5793, plain, ( ~c_Relation_Orefl__on(_u12379, _u12381, _u12383) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12379, _u12379), tc_HOL_Obool)), _u12383), hAPP(hAPP(c_Product__Type_OSigma(_u12379, _u12379), _u12381), hAPP(c_COMBK(tc_fun(_u12379, tc_HOL_Obool), _u12379), _u12381)))) )).
% 19.53/19.78 cnf(matrix-5794, plain, ( ~c_Relation_Orefl__on(_u12379, _u12381, _u12383) | ~hBOOL(hAPP(hAPP(c_member(_u12379), _u12374), _u12381)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12379, _u12379)), hAPP(hAPP(c_Product__Type_OPair(_u12379, _u12379), _u12374), _u12374)), _u12383)) )).
% 19.53/19.78 cnf(matrix-5795, plain, ( c_Relation_Orefl__on(_u12380, _u12382, _u12384) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12380, _u12380), tc_HOL_Obool)), _u12384), hAPP(hAPP(c_Product__Type_OSigma(_u12380, _u12380), _u12382), hAPP(c_COMBK(tc_fun(_u12380, tc_HOL_Obool), _u12380), _u12382)))) | hBOOL(hAPP(hAPP(c_member(_u12380), skolem299(_u12384, _u12382, _u12380)), _u12382)) )).
% 19.53/19.78 cnf(matrix-5796, plain, ( c_Relation_Orefl__on(_u12380, _u12382, _u12384) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12380, _u12380), tc_HOL_Obool)), _u12384), hAPP(hAPP(c_Product__Type_OSigma(_u12380, _u12380), _u12382), hAPP(c_COMBK(tc_fun(_u12380, tc_HOL_Obool), _u12380), _u12382)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12380, _u12380)), hAPP(hAPP(c_Product__Type_OPair(_u12380, _u12380), skolem299(_u12384, _u12382, _u12380)), skolem299(_u12384, _u12382, _u12380))), _u12384)) )).
% 19.53/19.78 cnf(matrix-5797, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u12385)) | ( hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), tc_Nat_Onat), c_member(tc_Nat_Onat)), c_Nat_OSuc)), _u12385))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u12386))))) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u12385))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), hAPP(c_Nat_OSuc, _u12386)))))) )).
% 19.53/19.78 cnf(matrix-5798, plain, ( ~hBOOL(hAPP(_u12387, _u12388)) | hBOOL(hAPP(hAPP(c_member(_u12389), _u12388), hAPP(c_Set_OCollect(_u12389), _u12387))) )).
% 19.53/19.78 cnf(matrix-5799, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u12390), hAPP(c_Set_OCollect(_u12390), hAPP(hAPP(c_COMBS(_u12390, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12390), c_fconj), _u12391)), _u12392)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12390), hAPP(c_Set_OCollect(_u12390), _u12391))) )).
% 19.53/19.78 cnf(matrix-5800, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u12390), hAPP(c_Set_OCollect(_u12390), hAPP(hAPP(c_COMBS(_u12390, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12390), c_fconj), _u12391)), _u12392)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12390), hAPP(c_Set_OCollect(_u12390), _u12392))) )).
% 19.53/19.78 cnf(matrix-5801, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u12393)))) )).
% 19.53/19.78 cnf(matrix-5802, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)), _u12394)))) )).
% 19.53/19.78 cnf(matrix-5803, plain, ( ( hAPP(c_Set_OCollect(tc_prod(_u12395, _u12396)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12395, _u12396, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u12395, tc_fun(_u12396, tc_HOL_Obool), tc_fun(_u12396, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12396, tc_HOL_Obool), tc_fun(_u12396, tc_HOL_Obool)), _u12395), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12396)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12395), c_fconj), _u12397))), _u12398))) = hAPP(hAPP(c_Product__Type_OSigma(_u12395, _u12396), hAPP(c_Set_OCollect(_u12395), _u12397)), hAPP(hAPP(c_COMBB(tc_fun(_u12396, tc_HOL_Obool), tc_fun(_u12396, tc_HOL_Obool), _u12395), c_Set_OCollect(_u12396)), _u12398))) )).
% 19.53/19.78 cnf(matrix-5804, plain, ( ( hAPP(c_Set_OCollect(tc_prod(_u12399, _u12400)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12399, _u12400, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12399, tc_fun(_u12400, tc_HOL_Obool), tc_fun(_u12400, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12400, tc_HOL_Obool), tc_fun(_u12400, tc_HOL_Obool)), _u12399), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12400)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12399), c_fconj), _u12401))), _u12402))) = hAPP(hAPP(c_Product__Type_OSigma(_u12399, _u12400), hAPP(c_Set_OCollect(_u12399), _u12401)), hAPP(c_COMBK(tc_fun(_u12400, tc_HOL_Obool), _u12399), hAPP(c_Set_OCollect(_u12400), _u12402)))) )).
% 19.53/19.78 cnf(matrix-5805, plain, ( ( hAPP(c_Set_OCollect(_u12403), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12403), c_fNot), _u12404)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12403, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u12403), _u12404))) )).
% 19.53/19.78 cnf(matrix-5806, plain, ( ( hAPP(c_Set_Ovimage(_u12405, _u12406, _u12407), hAPP(c_Set_OCollect(_u12406), _u12408)) = hAPP(c_Set_OCollect(_u12405), hAPP(hAPP(c_COMBB(_u12406, tc_HOL_Obool, _u12405), _u12408), _u12407))) )).
% 19.53/19.78 cnf(matrix-5807, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u12409, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u12409), hAPP(c_COMBK(tc_HOL_Obool, _u12409), c_fTrue))) )).
% 19.53/19.78 cnf(matrix-5808, plain, ( ( hAPP(c_Set_OCollect(_u12410), hAPP(hAPP(c_COMBS(_u12410, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12410), c_fdisj), _u12411)), _u12412)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12410, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u12410), _u12411)), hAPP(c_Set_OCollect(_u12410), _u12412))) )).
% 19.53/19.78 cnf(matrix-5809, plain, ( ( hAPP(c_Set_OCollect(_u12413), hAPP(hAPP(c_COMBS(_u12413, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12413), c_fconj), _u12414)), _u12415)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12413, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u12413), _u12414)), hAPP(c_Set_OCollect(_u12413), _u12415))) )).
% 19.53/19.78 cnf(matrix-5810, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u12416, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u12416), hAPP(c_COMBK(tc_HOL_Obool, _u12416), c_fFalse))) )).
% 19.53/19.78 cnf(matrix-5811, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12420), hAPP(c_Set_OCollect(_u12420), hAPP(hAPP(c_COMBS(_u12420, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12420), c_fdisj), _u12422)), _u12424)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12420), hAPP(c_Set_OCollect(_u12420), _u12422))) )).
% 19.53/19.78 cnf(matrix-5812, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12420), hAPP(c_Set_OCollect(_u12420), hAPP(hAPP(c_COMBS(_u12420, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12420), c_fdisj), _u12422)), _u12424)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12420), hAPP(c_Set_OCollect(_u12420), _u12424))) )).
% 19.53/19.78 cnf(matrix-5813, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12421), hAPP(c_Set_OCollect(_u12421), _u12423))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12421), hAPP(c_Set_OCollect(_u12421), _u12425))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12421), hAPP(c_Set_OCollect(_u12421), hAPP(hAPP(c_COMBS(_u12421, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12421), c_fdisj), _u12423)), _u12425)))) )).
% 19.53/19.78 cnf(matrix-5814, plain, ( ~hBOOL(hAPP(_u12432, _u12426)) | ( hAPP(c_Set_OCollect(_u12430), _u12432) != c_Orderings_Obot__class_Obot(tc_fun(_u12430, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5815, plain, ( hBOOL(hAPP(_u12433, skolem300(_u12433))) | ( hAPP(c_Set_OCollect(_u12431), _u12433) = c_Orderings_Obot__class_Obot(tc_fun(_u12431, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5816, plain, ( ~hBOOL(hAPP(_u12440, _u12434)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u12438, tc_HOL_Obool)) != hAPP(c_Set_OCollect(_u12438), _u12440)) )).
% 19.53/19.78 cnf(matrix-5817, plain, ( hBOOL(hAPP(_u12441, skolem301(_u12441))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u12439, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u12439), _u12441)) )).
% 19.53/19.78 cnf(matrix-5818, plain, ( ( hAPP(c_Set_OCollect(_u12442), _u12443) = _u12443) )).
% 19.53/19.78 cnf(matrix-5819, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u12444), _u12445), hAPP(c_Set_OCollect(_u12444), _u12446)) = hAPP(c_Set_OCollect(_u12444), hAPP(hAPP(c_COMBS(_u12444, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12444), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12444), c_fNot), hAPP(hAPP(c_COMBC(_u12444, _u12444, tc_HOL_Obool), c_fequal), _u12445)))), _u12446))) )).
% 19.53/19.78 cnf(matrix-5820, plain, ( c_Relation_Orefl__on(_u12447, _u12448, c_Relation_OId__on(_u12447, _u12448)) )).
% 19.53/19.78 cnf(matrix-5821, plain, ( ( hAPP(c_Set_OCollect(_u12449), hAPP(hAPP(c_COMBC(_u12449, tc_fun(_u12449, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12449)), _u12450)) = _u12450) )).
% 19.53/19.78 cnf(matrix-5822, plain, ( hBOOL(hAPP(_u12458, _u12456)) | ~hBOOL(hAPP(hAPP(c_member(_u12454), _u12456), hAPP(c_Set_OCollect(_u12454), _u12458))) )).
% 19.53/19.78 cnf(matrix-5823, plain, ( ~hBOOL(hAPP(_u12459, _u12457)) | hBOOL(hAPP(hAPP(c_member(_u12455), _u12457), hAPP(c_Set_OCollect(_u12455), _u12459))) )).
% 19.53/19.78 cnf(matrix-5824, plain, ( hBOOL(hAPP(_u12462, _u12461)) | ~hBOOL(hAPP(hAPP(c_member(_u12460), _u12461), hAPP(c_Set_OCollect(_u12460), _u12462))) )).
% 19.53/19.78 cnf(matrix-5825, plain, ( hBOOL(hAPP(_u12465, _u12464)) | ~hBOOL(hAPP(hAPP(c_member(_u12463), _u12464), hAPP(c_Set_OCollect(_u12463), _u12465))) )).
% 19.53/19.78 cnf(matrix-5826, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u12466), _u12467), _u12468) = hAPP(c_Set_OCollect(_u12466), hAPP(hAPP(c_COMBS(_u12466, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12466), c_fdisj), hAPP(hAPP(c_COMBC(_u12466, _u12466, tc_HOL_Obool), c_fequal), _u12467))), hAPP(hAPP(c_COMBC(_u12466, tc_fun(_u12466, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12466)), _u12468)))) )).
% 19.53/19.78 cnf(matrix-5827, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u12469), _u12470), _u12471) = hAPP(c_Set_OCollect(_u12469), hAPP(hAPP(c_COMBS(_u12469, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12469), c_fdisj), hAPP(hAPP(c_COMBC(_u12469, _u12469, tc_HOL_Obool), c_fequal), _u12470))), hAPP(hAPP(c_COMBC(_u12469, tc_fun(_u12469, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12469)), _u12471)))) )).
% 19.53/19.78 cnf(matrix-5828, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12472, tc_HOL_Obool)), _u12473), _u12474) = hAPP(c_Set_OCollect(_u12472), hAPP(hAPP(c_COMBS(_u12472, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12472), c_fdisj), hAPP(hAPP(c_COMBC(_u12472, tc_fun(_u12472, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12472)), _u12473))), hAPP(hAPP(c_COMBC(_u12472, tc_fun(_u12472, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12472)), _u12474)))) )).
% 19.53/19.78 cnf(matrix-5829, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12475, tc_HOL_Obool)), _u12476), _u12477) = hAPP(c_Set_OCollect(_u12475), hAPP(hAPP(c_COMBS(_u12475, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12475), c_fconj), hAPP(hAPP(c_COMBC(_u12475, tc_fun(_u12475, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12475)), _u12476))), hAPP(hAPP(c_COMBC(_u12475, tc_fun(_u12475, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12475)), _u12477)))) )).
% 19.53/19.78 cnf(matrix-5830, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12482), _u12484), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12482, tc_HOL_Obool)), _u12486), hAPP(c_Set_OCollect(_u12482), _u12488)))) | hBOOL(hAPP(hAPP(c_member(_u12482), _u12484), _u12486)) )).
% 19.53/19.78 cnf(matrix-5831, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12482), _u12484), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12482, tc_HOL_Obool)), _u12486), hAPP(c_Set_OCollect(_u12482), _u12488)))) | hBOOL(hAPP(_u12488, _u12484)) )).
% 19.53/19.78 cnf(matrix-5832, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12483), _u12485), _u12487)) | ~hBOOL(hAPP(_u12489, _u12485)) | hBOOL(hAPP(hAPP(c_member(_u12483), _u12485), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12483, tc_HOL_Obool)), _u12487), hAPP(c_Set_OCollect(_u12483), _u12489)))) )).
% 19.53/19.78 cnf(matrix-5833, plain, ( ~hBOOL(hAPP(_u12493, _u12495)) | ( hAPP(c_Set_OCollect(_u12497), hAPP(hAPP(c_COMBS(_u12497, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12497), c_fconj), hAPP(hAPP(c_COMBC(_u12497, _u12497, tc_HOL_Obool), c_fequal), _u12495))), _u12493)) = hAPP(hAPP(c_Set_Oinsert(_u12497), _u12495), c_Orderings_Obot__class_Obot(tc_fun(_u12497, tc_HOL_Obool)))) )).
% 19.53/19.78 cnf(matrix-5834, plain, ( hBOOL(hAPP(_u12494, _u12496)) | ( hAPP(c_Set_OCollect(_u12498), hAPP(hAPP(c_COMBS(_u12498, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12498), c_fconj), hAPP(hAPP(c_COMBC(_u12498, _u12498, tc_HOL_Obool), c_fequal), _u12496))), _u12494)) = c_Orderings_Obot__class_Obot(tc_fun(_u12498, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5835, plain, ( ~hBOOL(hAPP(_u12502, _u12504)) | ( hAPP(c_Set_OCollect(_u12506), hAPP(hAPP(c_COMBS(_u12506, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12506), c_fconj), hAPP(c_fequal, _u12504))), _u12502)) = hAPP(hAPP(c_Set_Oinsert(_u12506), _u12504), c_Orderings_Obot__class_Obot(tc_fun(_u12506, tc_HOL_Obool)))) )).
% 19.53/19.78 cnf(matrix-5836, plain, ( hBOOL(hAPP(_u12503, _u12505)) | ( hAPP(c_Set_OCollect(_u12507), hAPP(hAPP(c_COMBS(_u12507, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12507), c_fconj), hAPP(c_fequal, _u12505))), _u12503)) = c_Orderings_Obot__class_Obot(tc_fun(_u12507, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5837, plain, ( ( hAPP(c_Set_OCollect(_u12508), hAPP(hAPP(c_COMBC(_u12508, _u12508, tc_HOL_Obool), c_fequal), _u12509)) = hAPP(hAPP(c_Set_Oinsert(_u12508), _u12509), c_Orderings_Obot__class_Obot(tc_fun(_u12508, tc_HOL_Obool)))) )).
% 19.53/19.78 cnf(matrix-5838, plain, ( ( hAPP(c_Set_OCollect(_u12510), hAPP(c_fequal, _u12511)) = hAPP(hAPP(c_Set_Oinsert(_u12510), _u12511), c_Orderings_Obot__class_Obot(tc_fun(_u12510, tc_HOL_Obool)))) )).
% 19.53/19.78 cnf(matrix-5839, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12512, tc_HOL_Obool)), _u12513), _u12514) = hAPP(c_Set_OCollect(_u12512), hAPP(hAPP(c_COMBS(_u12512, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12512), c_fconj), hAPP(hAPP(c_COMBC(_u12512, tc_fun(_u12512, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12512)), _u12513))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12512), c_fNot), hAPP(hAPP(c_COMBC(_u12512, tc_fun(_u12512, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12512)), _u12514))))) )).
% 19.53/19.78 cnf(matrix-5840, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12515), hAPP(c_Set_OCollect(_u12515), _u12516))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12515), hAPP(c_Set_OCollect(_u12515), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12515), c_fNot), _u12516)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12515), c_Orderings_Otop__class_Otop(tc_fun(_u12515, tc_HOL_Obool)))) )).
% 19.53/19.78 cnf(matrix-5841, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12515), hAPP(c_Set_OCollect(_u12515), _u12516))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12515), c_Orderings_Otop__class_Otop(tc_fun(_u12515, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12515), hAPP(c_Set_OCollect(_u12515), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12515), c_fNot), _u12516)))) )).
% 19.53/19.78 cnf(matrix-5842, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u12517), _u12518), _u12519) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12517, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u12517), hAPP(hAPP(c_COMBC(_u12517, _u12517, tc_HOL_Obool), c_fequal), _u12518))), _u12519)) )).
% 19.53/19.78 cnf(matrix-5843, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12520, tc_HOL_Obool)), _u12521) = hAPP(c_Set_OCollect(_u12520), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12520), c_fNot), hAPP(hAPP(c_COMBC(_u12520, tc_fun(_u12520, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12520)), _u12521)))) )).
% 19.53/19.78 cnf(matrix-5844, plain, ( ( hAPP(c_Set_Ovimage(_u12522, _u12523, _u12524), _u12525) = hAPP(c_Set_OCollect(_u12522), hAPP(hAPP(c_COMBC(_u12522, tc_fun(_u12523, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u12523, tc_fun(tc_fun(_u12523, tc_HOL_Obool), tc_HOL_Obool), _u12522), c_member(_u12523)), _u12524)), _u12525))) )).
% 19.53/19.78 cnf(matrix-5845, plain, ( ( hAPP(c_Set_OCollect(_u12526), hAPP(hAPP(c_COMBS(_u12526, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12526), c_fimplies), _u12527)), _u12528)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12526, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12526, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u12526), _u12527))), hAPP(c_Set_OCollect(_u12526), _u12528))) )).
% 19.53/19.78 cnf(matrix-5846, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj), _u12529)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u12530))))) )).
% 19.53/19.78 cnf(matrix-5847, plain, ( c_Relation_Orefl__on(_u12531, c_Orderings_Obot__class_Obot(tc_fun(_u12531, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12531, _u12531), tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5848, plain, ( ~c_Relation_Orefl__on(_u12532, _u12533, _u12534) | ~c_Relation_Orefl__on(_u12532, _u12535, _u12536) | c_Relation_Orefl__on(_u12532, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12532, tc_HOL_Obool)), _u12533), _u12535), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12532, _u12532), tc_HOL_Obool)), _u12534), _u12536)) )).
% 19.53/19.78 cnf(matrix-5849, plain, ( ~c_Relation_Orefl__on(_u12537, _u12538, _u12539) | ~c_Relation_Orefl__on(_u12537, _u12540, _u12541) | c_Relation_Orefl__on(_u12537, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12537, tc_HOL_Obool)), _u12538), _u12540), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12537, _u12537), tc_HOL_Obool)), _u12539), _u12541)) )).
% 19.53/19.78 cnf(matrix-5850, plain, ( ~class_Groups_Ocomm__monoid__add(_u12542) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12543), _u12544)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12545), _u12546)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12543, _u12542), hAPP(hAPP(c_COMBS(_u12543, tc_fun(_u12545, tc_HOL_Obool), _u12542), hAPP(hAPP(c_COMBB(tc_fun(_u12545, _u12542), tc_fun(tc_fun(_u12545, tc_HOL_Obool), _u12542), _u12543), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12545, _u12542)), _u12547)), hAPP(hAPP(c_COMBB(tc_fun(_u12545, tc_HOL_Obool), tc_fun(_u12545, tc_HOL_Obool), _u12543), c_Set_OCollect(_u12545)), hAPP(hAPP(c_COMBB(tc_fun(_u12545, tc_HOL_Obool), tc_fun(_u12545, tc_HOL_Obool), _u12543), hAPP(c_COMBS(_u12545, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12545), c_fconj), hAPP(hAPP(c_COMBC(_u12545, tc_fun(_u12545, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12545)), _u12546)))), _u12548)))), _u12544) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12545, _u12542), hAPP(hAPP(c_COMBS(_u12545, tc_fun(_u12543, tc_HOL_Obool), _u12542), hAPP(hAPP(c_COMBB(tc_fun(_u12543, _u12542), tc_fun(tc_fun(_u12543, tc_HOL_Obool), _u12542), _u12545), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12543, _u12542)), hAPP(c_COMBC(_u12543, _u12545, _u12542), _u12547))), hAPP(hAPP(c_COMBB(tc_fun(_u12543, tc_HOL_Obool), tc_fun(_u12543, tc_HOL_Obool), _u12545), c_Set_OCollect(_u12543)), hAPP(hAPP(c_COMBB(tc_fun(_u12543, tc_HOL_Obool), tc_fun(_u12543, tc_HOL_Obool), _u12545), hAPP(c_COMBS(_u12543, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12543), c_fconj), hAPP(hAPP(c_COMBC(_u12543, tc_fun(_u12543, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12543)), _u12544)))), hAPP(c_COMBC(_u12543, _u12545, tc_HOL_Obool), _u12548))))), _u12546)) )).
% 19.53/19.78 cnf(matrix-5851, plain, ( ( hAPP(c_Set_Oimage(_u12549, _u12550, hAPP(hAPP(c_COMBS(_u12549, _u12550, _u12550), hAPP(hAPP(c_COMBS(_u12549, _u12550, tc_fun(_u12550, _u12550)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12550, tc_fun(_u12550, _u12550)), _u12549), c_If(_u12550)), _u12551)), _u12552)), _u12553)), _u12554) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12550, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12549, _u12550, _u12552), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12549, tc_HOL_Obool)), _u12554), hAPP(c_Set_OCollect(_u12549), _u12551)))), hAPP(c_Set_Oimage(_u12549, _u12550, _u12553), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12549, tc_HOL_Obool)), _u12554), hAPP(c_Set_OCollect(_u12549), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12549), c_fNot), _u12551)))))) )).
% 19.53/19.78 cnf(matrix-5852, plain, ( ( _u12555 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u12556, _u12557), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u12558)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12556), _u12555)) )).
% 19.53/19.78 cnf(matrix-5853, plain, ( ~c_Relation_Orefl__on(_u12559, _u12560, _u12561) | ~hBOOL(hAPP(hAPP(c_member(_u12559), _u12562), _u12560)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12559, _u12559)), hAPP(hAPP(c_Product__Type_OPair(_u12559, _u12559), _u12562), _u12562)), _u12561)) )).
% 19.53/19.78 cnf(matrix-5854, plain, ( ~c_Relation_Orefl__on(_u12563, _u12564, _u12565) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12563, _u12563)), hAPP(hAPP(c_Product__Type_OPair(_u12563, _u12563), _u12566), _u12567)), _u12565)) | hBOOL(hAPP(hAPP(c_member(_u12563), _u12567), _u12564)) )).
% 19.53/19.78 cnf(matrix-5855, plain, ( ~c_Relation_Orefl__on(_u12568, _u12569, _u12570) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12568, _u12568)), hAPP(hAPP(c_Product__Type_OPair(_u12568, _u12568), _u12571), _u12572)), _u12570)) | hBOOL(hAPP(hAPP(c_member(_u12568), _u12571), _u12569)) )).
% 19.53/19.78 cnf(matrix-5856, plain, ( ~class_Groups_Ocomm__monoid__add(_u12573) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12574), _u12575)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12574, _u12573), _u12576), hAPP(c_Set_OCollect(_u12574), hAPP(hAPP(c_COMBS(_u12574, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12574), c_fconj), hAPP(hAPP(c_COMBC(_u12574, tc_fun(_u12574, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12574)), _u12575))), hAPP(hAPP(c_COMBC(_u12574, tc_fun(_u12574, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12574)), _u12577)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12574, _u12573), hAPP(hAPP(c_COMBC(_u12574, _u12573, _u12573), hAPP(hAPP(c_COMBS(_u12574, _u12573, tc_fun(_u12573, _u12573)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12573, tc_fun(_u12573, _u12573)), _u12574), c_If(_u12573)), hAPP(hAPP(c_COMBC(_u12574, tc_fun(_u12574, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12574)), _u12577))), _u12576)), c_Groups_Ozero__class_Ozero(_u12573))), _u12575)) )).
% 19.53/19.78 cnf(matrix-5857, plain, ( ~class_Groups_Ocomm__monoid__add(_u12578) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12579), _u12580)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12579, _u12578), _u12581), _u12580) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12582, _u12578), hAPP(hAPP(c_COMBB(tc_fun(_u12579, tc_HOL_Obool), _u12578, _u12582), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12579, _u12578), _u12581)), hAPP(hAPP(c_COMBB(tc_fun(_u12579, tc_HOL_Obool), tc_fun(_u12579, tc_HOL_Obool), _u12582), c_Set_OCollect(_u12579)), hAPP(hAPP(c_COMBB(tc_fun(_u12579, tc_HOL_Obool), tc_fun(_u12579, tc_HOL_Obool), _u12582), hAPP(c_COMBS(_u12579, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12579), c_fconj), hAPP(hAPP(c_COMBC(_u12579, tc_fun(_u12579, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12579)), _u12580)))), hAPP(c_COMBC(_u12579, _u12582, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u12582, tc_fun(_u12582, tc_HOL_Obool), _u12579), c_fequal), _u12583)))))), hAPP(c_Set_Oimage(_u12579, _u12582, _u12583), _u12580))) )).
% 19.53/19.78 cnf(matrix-5858, plain, ( ( hAPP(c_Relation_OImage(_u12584, _u12585, _u12586), hAPP(hAPP(c_Set_Oinsert(_u12584), _u12587), c_Orderings_Obot__class_Obot(tc_fun(_u12584, tc_HOL_Obool)))) = hAPP(c_Set_OCollect(_u12585), hAPP(hAPP(c_COMBC(_u12585, tc_fun(tc_prod(_u12584, _u12585), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u12584, _u12585), tc_fun(tc_fun(tc_prod(_u12584, _u12585), tc_HOL_Obool), tc_HOL_Obool), _u12585), c_member(tc_prod(_u12584, _u12585))), hAPP(c_Product__Type_OPair(_u12584, _u12585), _u12587))), _u12586))) )).
% 19.53/19.78 cnf(matrix-5859, plain, ( ~class_Groups_Ocomm__monoid__add(_u12588) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12589), _u12590)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12589, _u12588), hAPP(hAPP(c_COMBS(_u12589, _u12588, _u12588), hAPP(hAPP(c_COMBS(_u12589, _u12588, tc_fun(_u12588, _u12588)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u12588, tc_fun(_u12588, _u12588)), _u12589), c_If(_u12588)), _u12591)), _u12592)), _u12593)), _u12590) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12588), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12589, _u12588), _u12592), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12589, tc_HOL_Obool)), _u12590), hAPP(c_Set_OCollect(_u12589), _u12591)))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12589, _u12588), _u12593), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12589, tc_HOL_Obool)), _u12590), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12589, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u12589), _u12591)))))) )).
% 19.53/19.78 cnf(matrix-5860, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u12594)) | ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), tc_Nat_Onat), c_member(tc_Nat_Onat)), c_Nat_OSuc)), _u12594))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u12595)))) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u12594))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), hAPP(c_Nat_OSuc, _u12595)))))) )).
% 19.53/19.78 cnf(matrix-5861, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u12596)) | ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u12596))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), hAPP(c_Nat_OSuc, _u12597))))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.78 cnf(matrix-5862, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12599, _u12599), tc_HOL_Obool)), _u12600), hAPP(hAPP(c_Product__Type_OSigma(_u12599, _u12599), _u12601), hAPP(c_COMBK(tc_fun(_u12599, tc_HOL_Obool), _u12599), _u12601)))) | c_Relation_Orefl__on(_u12599, _u12601, _u12600) | hBOOL(hAPP(hAPP(c_member(_u12599), skolem302(_u12601, _u12600, _u12599)), _u12601)) )).
% 19.53/19.78 cnf(matrix-5863, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12599, _u12599), tc_HOL_Obool)), _u12600), hAPP(hAPP(c_Product__Type_OSigma(_u12599, _u12599), _u12601), hAPP(c_COMBK(tc_fun(_u12599, tc_HOL_Obool), _u12599), _u12601)))) | c_Relation_Orefl__on(_u12599, _u12601, _u12600) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12599, _u12599)), hAPP(hAPP(c_Product__Type_OPair(_u12599, _u12599), skolem302(_u12601, _u12600, _u12599)), skolem302(_u12601, _u12600, _u12599))), _u12600)) )).
% 19.53/19.78 cnf(matrix-5864, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12603), _u12604)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12605), _u12606)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12603, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u12605, tc_HOL_Obool), tc_Nat_Onat, _u12603), c_Finite__Set_Ocard(_u12605)), hAPP(hAPP(c_COMBB(tc_fun(_u12605, tc_HOL_Obool), tc_fun(_u12605, tc_HOL_Obool), _u12603), c_Set_OCollect(_u12605)), hAPP(hAPP(c_COMBB(tc_fun(_u12605, tc_HOL_Obool), tc_fun(_u12605, tc_HOL_Obool), _u12603), hAPP(c_COMBS(_u12605, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12605), c_fconj), hAPP(hAPP(c_COMBC(_u12605, tc_fun(_u12605, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12605)), _u12606)))), _u12607)))), _u12604) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u12608), hAPP(c_Finite__Set_Ocard(_u12605), _u12606))) | hBOOL(hAPP(hAPP(c_member(_u12605), skolem303(_u12608, _u12607, _u12606, _u12605, _u12604, _u12603)), _u12606)) )).
% 19.53/19.78 cnf(matrix-5865, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12603), _u12604)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12605), _u12606)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12603, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u12605, tc_HOL_Obool), tc_Nat_Onat, _u12603), c_Finite__Set_Ocard(_u12605)), hAPP(hAPP(c_COMBB(tc_fun(_u12605, tc_HOL_Obool), tc_fun(_u12605, tc_HOL_Obool), _u12603), c_Set_OCollect(_u12605)), hAPP(hAPP(c_COMBB(tc_fun(_u12605, tc_HOL_Obool), tc_fun(_u12605, tc_HOL_Obool), _u12603), hAPP(c_COMBS(_u12605, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12605), c_fconj), hAPP(hAPP(c_COMBC(_u12605, tc_fun(_u12605, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12605)), _u12606)))), _u12607)))), _u12604) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u12608), hAPP(c_Finite__Set_Ocard(_u12605), _u12606))) | ( hAPP(c_Finite__Set_Ocard(_u12603), hAPP(c_Set_OCollect(_u12603), hAPP(hAPP(c_COMBS(_u12603, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12603), c_fconj), hAPP(hAPP(c_COMBC(_u12603, tc_fun(_u12603, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12603)), _u12604))), hAPP(hAPP(c_COMBC(_u12603, _u12605, tc_HOL_Obool), _u12607), skolem303(_u12608, _u12607, _u12606, _u12605, _u12604, _u12603))))) != _u12608) )).
% 19.53/19.78 cnf(matrix-5866, plain, ( ~class_Orderings_Olinorder(_u12609) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12609), _u12610)) | ( _u12610 = c_Orderings_Obot__class_Obot(tc_fun(_u12609, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12609), _u12611)) | ( _u12611 = c_Orderings_Obot__class_Obot(tc_fun(_u12609, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12609), c_Big__Operators_Olattice_OSup__fin(_u12609, c_Orderings_Oord__class_Omax(_u12609), _u12610)), c_Big__Operators_Olattice_OSup__fin(_u12609, c_Orderings_Oord__class_Omax(_u12609), _u12611)) = c_Big__Operators_Olattice_OSup__fin(_u12609, c_Orderings_Oord__class_Omax(_u12609), hAPP(c_Set_OCollect(_u12609), hAPP(hAPP(c_COMBB(tc_fun(_u12609, tc_HOL_Obool), tc_HOL_Obool, _u12609), c_HOL_OEx(_u12609)), hAPP(hAPP(c_COMBB(tc_fun(_u12609, tc_fun(_u12609, tc_HOL_Obool)), tc_fun(_u12609, tc_HOL_Obool), _u12609), hAPP(c_COMBB(tc_fun(_u12609, tc_HOL_Obool), tc_HOL_Obool, _u12609), c_HOL_OEx(_u12609))), hAPP(hAPP(c_COMBC(_u12609, tc_fun(_u12609, tc_fun(_u12609, tc_HOL_Obool)), tc_fun(_u12609, tc_fun(_u12609, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12609, tc_fun(tc_fun(_u12609, tc_HOL_Obool), tc_fun(_u12609, tc_HOL_Obool))), tc_fun(tc_fun(_u12609, tc_fun(_u12609, tc_HOL_Obool)), tc_fun(_u12609, tc_fun(_u12609, tc_HOL_Obool))), _u12609), c_COMBS(_u12609, tc_fun(_u12609, tc_HOL_Obool), tc_fun(_u12609, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12609, tc_fun(_u12609, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u12609, tc_fun(tc_fun(_u12609, tc_HOL_Obool), tc_fun(_u12609, tc_HOL_Obool))), _u12609), hAPP(c_COMBB(tc_fun(_u12609, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12609, tc_HOL_Obool), tc_fun(_u12609, tc_HOL_Obool)), _u12609), c_COMBS(_u12609, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12609, tc_fun(_u12609, tc_HOL_Obool)), tc_fun(_u12609, tc_fun(_u12609, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u12609), hAPP(c_COMBB(tc_fun(_u12609, tc_HOL_Obool), tc_fun(_u12609, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12609), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12609), c_fconj))), hAPP(hAPP(c_COMBC(_u12609, tc_fun(_u12609, tc_fun(_u12609, _u12609)), tc_fun(_u12609, tc_fun(_u12609, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12609, _u12609), tc_fun(_u12609, tc_HOL_Obool)), tc_fun(tc_fun(_u12609, tc_fun(_u12609, _u12609)), tc_fun(_u12609, tc_fun(_u12609, tc_HOL_Obool))), _u12609), c_COMBB(tc_fun(_u12609, _u12609), tc_fun(_u12609, tc_HOL_Obool), _u12609)), hAPP(hAPP(c_COMBB(tc_fun(_u12609, tc_HOL_Obool), tc_fun(tc_fun(_u12609, _u12609), tc_fun(_u12609, tc_HOL_Obool)), _u12609), c_COMBB(_u12609, tc_HOL_Obool, _u12609)), c_fequal))), c_Orderings_Oord__class_Omin(_u12609)))))), hAPP(hAPP(c_COMBC(_u12609, tc_fun(_u12609, tc_HOL_Obool), tc_fun(_u12609, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12609, tc_HOL_Obool), tc_fun(_u12609, tc_HOL_Obool)), _u12609), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12609)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12609), c_fconj), hAPP(hAPP(c_COMBC(_u12609, tc_fun(_u12609, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12609)), _u12610)))), hAPP(hAPP(c_COMBC(_u12609, tc_fun(_u12609, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12609)), _u12611)))))))) )).
% 19.53/19.78 cnf(matrix-5867, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12612), _u12613)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u12612, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_fun(_u12612, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u12612, tc_HOL_Obool), tc_fun(_u12612, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u12612, tc_HOL_Obool))), _u12613)))) )).
% 19.53/19.78 cnf(matrix-5868, plain, ( ( hAPP(c_Set_OPow(_u12614), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12614, tc_HOL_Obool)), _u12615)) = hAPP(c_Set_OCollect(tc_fun(_u12614, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12614, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u12614, tc_HOL_Obool)), c_HOL_OEx(tc_fun(_u12614, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u12614, tc_HOL_Obool), tc_fun(tc_fun(_u12614, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12614, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12614, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u12614, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12614, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u12614, tc_HOL_Obool)), c_COMBS(tc_fun(_u12614, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12614, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12614, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u12614, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u12614, tc_HOL_Obool)), c_fconj)), hAPP(hAPP(c_COMBC(tc_fun(_u12614, tc_HOL_Obool), tc_fun(tc_fun(_u12614, tc_HOL_Obool), tc_fun(_u12614, tc_HOL_Obool)), tc_fun(tc_fun(_u12614, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12614, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u12614, tc_HOL_Obool), tc_fun(_u12614, tc_HOL_Obool)), tc_fun(tc_fun(_u12614, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u12614, tc_HOL_Obool)), c_COMBB(tc_fun(_u12614, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u12614, tc_HOL_Obool))), c_fequal)), c_Groups_Ouminus__class_Ouminus(tc_fun(_u12614, tc_HOL_Obool)))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12614, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u12614, tc_HOL_Obool)), hAPP(c_member(tc_fun(_u12614, tc_HOL_Obool)), _u12615)), c_Set_OPow(_u12614)))))) )).
% 19.53/19.78 cnf(matrix-5869, plain, ( ( hAPP(c_Set_OPow(_u12616), _u12617) = hAPP(c_Set_OCollect(tc_fun(_u12616, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u12616, tc_HOL_Obool), tc_fun(_u12616, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u12616, tc_HOL_Obool))), _u12617))) )).
% 19.53/19.78 cnf(matrix-5870, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12618), hAPP(c_Set_OCollect(_u12618), _u12619))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12620), hAPP(c_Set_OCollect(_u12620), hAPP(hAPP(c_COMBB(tc_fun(_u12618, tc_HOL_Obool), tc_HOL_Obool, _u12620), c_HOL_OEx(_u12618)), hAPP(hAPP(c_COMBC(_u12620, tc_fun(_u12618, tc_HOL_Obool), tc_fun(_u12618, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12618, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12618, tc_HOL_Obool), tc_fun(_u12618, tc_HOL_Obool)), _u12620), c_COMBS(_u12618, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12618, tc_HOL_Obool), tc_fun(_u12618, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12620), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12618), c_fconj)), hAPP(hAPP(c_COMBC(_u12620, tc_fun(_u12618, _u12620), tc_fun(_u12618, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12620, tc_HOL_Obool), tc_fun(tc_fun(_u12618, _u12620), tc_fun(_u12618, tc_HOL_Obool)), _u12620), c_COMBB(_u12620, tc_HOL_Obool, _u12618)), c_fequal)), _u12621)))), _u12619))))) )).
% 19.53/19.78 cnf(matrix-5871, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12624), hAPP(c_Set_OCollect(_u12624), _u12625))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12626), hAPP(c_Set_OCollect(_u12626), hAPP(hAPP(c_COMBB(tc_fun(_u12624, tc_HOL_Obool), tc_HOL_Obool, _u12626), c_HOL_OEx(_u12624)), hAPP(hAPP(c_COMBB(tc_fun(_u12624, tc_HOL_Obool), tc_fun(_u12624, tc_HOL_Obool), _u12626), hAPP(c_COMBS(_u12624, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12624), c_fconj), _u12625))), _u12627))))) | ~hBOOL(hAPP(_u12625, _u12622)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12626), hAPP(c_Set_OCollect(_u12626), hAPP(hAPP(c_COMBC(_u12626, _u12624, tc_HOL_Obool), _u12627), _u12622)))) )).
% 19.53/19.78 cnf(matrix-5872, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12624), hAPP(c_Set_OCollect(_u12624), _u12625))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12626), hAPP(c_Set_OCollect(_u12626), hAPP(hAPP(c_COMBB(tc_fun(_u12624, tc_HOL_Obool), tc_HOL_Obool, _u12626), c_HOL_OEx(_u12624)), hAPP(hAPP(c_COMBB(tc_fun(_u12624, tc_HOL_Obool), tc_fun(_u12624, tc_HOL_Obool), _u12626), hAPP(c_COMBS(_u12624, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12624), c_fconj), _u12625))), _u12627))))) | hBOOL(hAPP(_u12625, skolem304(_u12627, _u12626, _u12625, _u12624))) )).
% 19.53/19.78 cnf(matrix-5873, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12624), hAPP(c_Set_OCollect(_u12624), _u12625))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12626), hAPP(c_Set_OCollect(_u12626), hAPP(hAPP(c_COMBB(tc_fun(_u12624, tc_HOL_Obool), tc_HOL_Obool, _u12626), c_HOL_OEx(_u12624)), hAPP(hAPP(c_COMBB(tc_fun(_u12624, tc_HOL_Obool), tc_fun(_u12624, tc_HOL_Obool), _u12626), hAPP(c_COMBS(_u12624, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12624), c_fconj), _u12625))), _u12627))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12626), hAPP(c_Set_OCollect(_u12626), hAPP(hAPP(c_COMBC(_u12626, _u12624, tc_HOL_Obool), _u12627), skolem304(_u12627, _u12626, _u12625, _u12624))))) )).
% 19.53/19.78 cnf(matrix-5874, plain, ( c_Fun_Oinj__on(tc_fun(_u12628, _u12629), tc_fun(tc_prod(_u12628, _u12629), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u12628, _u12629), tc_HOL_Obool), tc_fun(tc_prod(_u12628, _u12629), tc_HOL_Obool), tc_fun(_u12628, _u12629)), c_Set_OCollect(tc_prod(_u12628, _u12629))), hAPP(hAPP(c_COMBB(tc_fun(_u12628, tc_fun(_u12629, tc_HOL_Obool)), tc_fun(tc_prod(_u12628, _u12629), tc_HOL_Obool), tc_fun(_u12628, _u12629)), c_Product__Type_Oprod_Oprod__case(_u12628, _u12629, tc_HOL_Obool)), hAPP(c_COMBB(_u12629, tc_fun(_u12629, tc_HOL_Obool), _u12628), hAPP(c_COMBC(_u12629, _u12629, tc_HOL_Obool), c_fequal)))), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u12628, _u12629), tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5875, plain, ( c_Nat__Transfer_Onat__set(hAPP(c_Set_OCollect(tc_Int_Oint), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), _u12630))) )).
% 19.53/19.78 cnf(matrix-5876, plain, ( ( c_Wellfounded_Ofinite__psubset(_u12631) = hAPP(c_Set_OCollect(tc_prod(tc_fun(_u12631, tc_HOL_Obool), tc_fun(_u12631, tc_HOL_Obool))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(_u12631, tc_HOL_Obool), tc_fun(_u12631, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u12631, tc_HOL_Obool), tc_fun(tc_fun(_u12631, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12631, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12631, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u12631, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12631, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u12631, tc_HOL_Obool)), c_COMBS(tc_fun(_u12631, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12631, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u12631, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u12631, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u12631, tc_HOL_Obool)), c_fconj)), c_Orderings_Oord__class_Oless(tc_fun(_u12631, tc_HOL_Obool))))), c_Finite__Set_Ofinite(_u12631))))) )).
% 19.53/19.78 cnf(matrix-5877, plain, ( ( hAPP(hAPP(c_Relation_Oinv__image(_u12632, _u12633), _u12634), _u12635) = hAPP(c_Set_OCollect(tc_prod(_u12633, _u12633)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12633, _u12633, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12633, tc_fun(tc_prod(_u12632, _u12632), tc_HOL_Obool), tc_fun(_u12633, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12633, tc_fun(tc_fun(tc_prod(_u12632, _u12632), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12632, _u12632), tc_HOL_Obool), tc_fun(_u12633, tc_HOL_Obool)), _u12633), c_COMBC(_u12633, tc_fun(tc_prod(_u12632, _u12632), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12633, tc_prod(_u12632, _u12632)), tc_fun(_u12633, tc_fun(tc_fun(tc_prod(_u12632, _u12632), tc_HOL_Obool), tc_HOL_Obool)), _u12633), hAPP(c_COMBB(tc_prod(_u12632, _u12632), tc_fun(tc_fun(tc_prod(_u12632, _u12632), tc_HOL_Obool), tc_HOL_Obool), _u12633), c_member(tc_prod(_u12632, _u12632)))), hAPP(hAPP(c_COMBC(_u12633, tc_fun(_u12633, _u12632), tc_fun(_u12633, tc_prod(_u12632, _u12632))), hAPP(hAPP(c_COMBB(tc_fun(_u12632, tc_prod(_u12632, _u12632)), tc_fun(tc_fun(_u12633, _u12632), tc_fun(_u12633, tc_prod(_u12632, _u12632))), _u12633), c_COMBB(_u12632, tc_prod(_u12632, _u12632), _u12633)), hAPP(hAPP(c_COMBB(_u12632, tc_fun(_u12632, tc_prod(_u12632, _u12632)), _u12633), c_Product__Type_OPair(_u12632, _u12632)), _u12635))), _u12635)))), _u12634)))) )).
% 19.53/19.78 cnf(matrix-5878, plain, ( ( hAPP(c_Set_OCollect(tc_Int_Oint), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), _u12636)) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_HOL_Obool, tc_Nat_Onat), _u12636), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))))) )).
% 19.53/19.78 cnf(matrix-5879, plain, ( ( hAPP(c_Set_OCollect(tc_Nat_Onat), _u12637) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), hAPP(c_Set_OCollect(tc_Int_Oint), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_Int_Oint), _u12637), c_Int_Onat))))) )).
% 19.53/19.78 cnf(matrix-5880, plain, ( ~class_Groups_Olinordered__ab__semigroup__add(_u12638) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12638), _u12639)) | ( _u12639 = c_Orderings_Obot__class_Obot(tc_fun(_u12638, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12638), _u12640), c_Big__Operators_Olinorder__class_OMin(_u12638, _u12639)) = c_Big__Operators_Olinorder__class_OMin(_u12638, hAPP(c_Set_OCollect(_u12638), hAPP(hAPP(c_COMBB(tc_fun(_u12638, tc_HOL_Obool), tc_HOL_Obool, _u12638), c_HOL_OEx(_u12638)), hAPP(hAPP(c_COMBC(_u12638, tc_fun(_u12638, tc_HOL_Obool), tc_fun(_u12638, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12638, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12638, tc_HOL_Obool), tc_fun(_u12638, tc_HOL_Obool)), _u12638), c_COMBS(_u12638, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12638, tc_HOL_Obool), tc_fun(_u12638, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12638), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12638), c_fconj)), hAPP(hAPP(c_COMBC(_u12638, tc_fun(_u12638, _u12638), tc_fun(_u12638, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12638, tc_HOL_Obool), tc_fun(tc_fun(_u12638, _u12638), tc_fun(_u12638, tc_HOL_Obool)), _u12638), c_COMBB(_u12638, tc_HOL_Obool, _u12638)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u12638), _u12640))))), hAPP(hAPP(c_COMBC(_u12638, tc_fun(_u12638, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12638)), _u12639)))))) )).
% 19.53/19.78 cnf(matrix-5881, plain, ( ~class_Groups_Olinordered__ab__semigroup__add(_u12641) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12641), _u12642)) | ( _u12642 = c_Orderings_Obot__class_Obot(tc_fun(_u12641, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u12641), _u12643), c_Big__Operators_Olinorder__class_OMax(_u12641, _u12642)) = c_Big__Operators_Olinorder__class_OMax(_u12641, hAPP(c_Set_OCollect(_u12641), hAPP(hAPP(c_COMBB(tc_fun(_u12641, tc_HOL_Obool), tc_HOL_Obool, _u12641), c_HOL_OEx(_u12641)), hAPP(hAPP(c_COMBC(_u12641, tc_fun(_u12641, tc_HOL_Obool), tc_fun(_u12641, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12641, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12641, tc_HOL_Obool), tc_fun(_u12641, tc_HOL_Obool)), _u12641), c_COMBS(_u12641, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12641, tc_HOL_Obool), tc_fun(_u12641, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12641), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12641), c_fconj)), hAPP(hAPP(c_COMBC(_u12641, tc_fun(_u12641, _u12641), tc_fun(_u12641, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12641, tc_HOL_Obool), tc_fun(tc_fun(_u12641, _u12641), tc_fun(_u12641, tc_HOL_Obool)), _u12641), c_COMBB(_u12641, tc_HOL_Obool, _u12641)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u12641), _u12643))))), hAPP(hAPP(c_COMBC(_u12641, tc_fun(_u12641, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12641)), _u12642)))))) )).
% 19.53/19.78 cnf(matrix-5882, plain, ( ~class_Lattices_Odistrib__lattice(_u12644) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12644), _u12645)) | ( _u12645 = c_Orderings_Obot__class_Obot(tc_fun(_u12644, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12644), _u12646)) | ( _u12646 = c_Orderings_Obot__class_Obot(tc_fun(_u12644, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12644), c_Big__Operators_Olattice__class_OInf__fin(_u12644, _u12645)), c_Big__Operators_Olattice__class_OInf__fin(_u12644, _u12646)) = c_Big__Operators_Olattice__class_OInf__fin(_u12644, hAPP(c_Set_OCollect(_u12644), hAPP(hAPP(c_COMBB(tc_fun(_u12644, tc_HOL_Obool), tc_HOL_Obool, _u12644), c_HOL_OEx(_u12644)), hAPP(hAPP(c_COMBB(tc_fun(_u12644, tc_fun(_u12644, tc_HOL_Obool)), tc_fun(_u12644, tc_HOL_Obool), _u12644), hAPP(c_COMBB(tc_fun(_u12644, tc_HOL_Obool), tc_HOL_Obool, _u12644), c_HOL_OEx(_u12644))), hAPP(hAPP(c_COMBC(_u12644, tc_fun(_u12644, tc_fun(_u12644, tc_HOL_Obool)), tc_fun(_u12644, tc_fun(_u12644, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12644, tc_fun(tc_fun(_u12644, tc_HOL_Obool), tc_fun(_u12644, tc_HOL_Obool))), tc_fun(tc_fun(_u12644, tc_fun(_u12644, tc_HOL_Obool)), tc_fun(_u12644, tc_fun(_u12644, tc_HOL_Obool))), _u12644), c_COMBS(_u12644, tc_fun(_u12644, tc_HOL_Obool), tc_fun(_u12644, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12644, tc_fun(_u12644, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u12644, tc_fun(tc_fun(_u12644, tc_HOL_Obool), tc_fun(_u12644, tc_HOL_Obool))), _u12644), hAPP(c_COMBB(tc_fun(_u12644, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12644, tc_HOL_Obool), tc_fun(_u12644, tc_HOL_Obool)), _u12644), c_COMBS(_u12644, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12644, tc_fun(_u12644, tc_HOL_Obool)), tc_fun(_u12644, tc_fun(_u12644, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u12644), hAPP(c_COMBB(tc_fun(_u12644, tc_HOL_Obool), tc_fun(_u12644, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12644), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12644), c_fconj))), hAPP(hAPP(c_COMBC(_u12644, tc_fun(_u12644, tc_fun(_u12644, _u12644)), tc_fun(_u12644, tc_fun(_u12644, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12644, _u12644), tc_fun(_u12644, tc_HOL_Obool)), tc_fun(tc_fun(_u12644, tc_fun(_u12644, _u12644)), tc_fun(_u12644, tc_fun(_u12644, tc_HOL_Obool))), _u12644), c_COMBB(tc_fun(_u12644, _u12644), tc_fun(_u12644, tc_HOL_Obool), _u12644)), hAPP(hAPP(c_COMBB(tc_fun(_u12644, tc_HOL_Obool), tc_fun(tc_fun(_u12644, _u12644), tc_fun(_u12644, tc_HOL_Obool)), _u12644), c_COMBB(_u12644, tc_HOL_Obool, _u12644)), c_fequal))), c_Lattices_Osemilattice__sup__class_Osup(_u12644)))))), hAPP(hAPP(c_COMBC(_u12644, tc_fun(_u12644, tc_HOL_Obool), tc_fun(_u12644, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12644, tc_HOL_Obool), tc_fun(_u12644, tc_HOL_Obool)), _u12644), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12644)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12644), c_fconj), hAPP(hAPP(c_COMBC(_u12644, tc_fun(_u12644, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12644)), _u12645)))), hAPP(hAPP(c_COMBC(_u12644, tc_fun(_u12644, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12644)), _u12646)))))))) )).
% 19.53/19.78 cnf(matrix-5883, plain, ( ~class_Lattices_Odistrib__lattice(_u12647) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12647), _u12648)) | ( _u12648 = c_Orderings_Obot__class_Obot(tc_fun(_u12647, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12647), _u12649), c_Big__Operators_Olattice__class_OInf__fin(_u12647, _u12648)) = c_Big__Operators_Olattice__class_OInf__fin(_u12647, hAPP(c_Set_OCollect(_u12647), hAPP(hAPP(c_COMBB(tc_fun(_u12647, tc_HOL_Obool), tc_HOL_Obool, _u12647), c_HOL_OEx(_u12647)), hAPP(hAPP(c_COMBC(_u12647, tc_fun(_u12647, tc_HOL_Obool), tc_fun(_u12647, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12647, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12647, tc_HOL_Obool), tc_fun(_u12647, tc_HOL_Obool)), _u12647), c_COMBS(_u12647, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12647, tc_HOL_Obool), tc_fun(_u12647, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12647), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12647), c_fconj)), hAPP(hAPP(c_COMBC(_u12647, tc_fun(_u12647, _u12647), tc_fun(_u12647, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12647, tc_HOL_Obool), tc_fun(tc_fun(_u12647, _u12647), tc_fun(_u12647, tc_HOL_Obool)), _u12647), c_COMBB(_u12647, tc_HOL_Obool, _u12647)), c_fequal)), hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u12647), _u12649))))), hAPP(hAPP(c_COMBC(_u12647, tc_fun(_u12647, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12647)), _u12648)))))) )).
% 19.53/19.78 cnf(matrix-5884, plain, ( ~class_Lattices_Odistrib__lattice(_u12650) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12650), _u12651)) | ( _u12651 = c_Orderings_Obot__class_Obot(tc_fun(_u12650, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12650), _u12652)) | ( _u12652 = c_Orderings_Obot__class_Obot(tc_fun(_u12650, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12650), c_Big__Operators_Olattice__class_OSup__fin(_u12650, _u12651)), c_Big__Operators_Olattice__class_OSup__fin(_u12650, _u12652)) = c_Big__Operators_Olattice__class_OSup__fin(_u12650, hAPP(c_Set_OCollect(_u12650), hAPP(hAPP(c_COMBB(tc_fun(_u12650, tc_HOL_Obool), tc_HOL_Obool, _u12650), c_HOL_OEx(_u12650)), hAPP(hAPP(c_COMBB(tc_fun(_u12650, tc_fun(_u12650, tc_HOL_Obool)), tc_fun(_u12650, tc_HOL_Obool), _u12650), hAPP(c_COMBB(tc_fun(_u12650, tc_HOL_Obool), tc_HOL_Obool, _u12650), c_HOL_OEx(_u12650))), hAPP(hAPP(c_COMBC(_u12650, tc_fun(_u12650, tc_fun(_u12650, tc_HOL_Obool)), tc_fun(_u12650, tc_fun(_u12650, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12650, tc_fun(tc_fun(_u12650, tc_HOL_Obool), tc_fun(_u12650, tc_HOL_Obool))), tc_fun(tc_fun(_u12650, tc_fun(_u12650, tc_HOL_Obool)), tc_fun(_u12650, tc_fun(_u12650, tc_HOL_Obool))), _u12650), c_COMBS(_u12650, tc_fun(_u12650, tc_HOL_Obool), tc_fun(_u12650, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12650, tc_fun(_u12650, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u12650, tc_fun(tc_fun(_u12650, tc_HOL_Obool), tc_fun(_u12650, tc_HOL_Obool))), _u12650), hAPP(c_COMBB(tc_fun(_u12650, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12650, tc_HOL_Obool), tc_fun(_u12650, tc_HOL_Obool)), _u12650), c_COMBS(_u12650, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12650, tc_fun(_u12650, tc_HOL_Obool)), tc_fun(_u12650, tc_fun(_u12650, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u12650), hAPP(c_COMBB(tc_fun(_u12650, tc_HOL_Obool), tc_fun(_u12650, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12650), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12650), c_fconj))), hAPP(hAPP(c_COMBC(_u12650, tc_fun(_u12650, tc_fun(_u12650, _u12650)), tc_fun(_u12650, tc_fun(_u12650, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12650, _u12650), tc_fun(_u12650, tc_HOL_Obool)), tc_fun(tc_fun(_u12650, tc_fun(_u12650, _u12650)), tc_fun(_u12650, tc_fun(_u12650, tc_HOL_Obool))), _u12650), c_COMBB(tc_fun(_u12650, _u12650), tc_fun(_u12650, tc_HOL_Obool), _u12650)), hAPP(hAPP(c_COMBB(tc_fun(_u12650, tc_HOL_Obool), tc_fun(tc_fun(_u12650, _u12650), tc_fun(_u12650, tc_HOL_Obool)), _u12650), c_COMBB(_u12650, tc_HOL_Obool, _u12650)), c_fequal))), c_Lattices_Osemilattice__inf__class_Oinf(_u12650)))))), hAPP(hAPP(c_COMBC(_u12650, tc_fun(_u12650, tc_HOL_Obool), tc_fun(_u12650, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12650, tc_HOL_Obool), tc_fun(_u12650, tc_HOL_Obool)), _u12650), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12650)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12650), c_fconj), hAPP(hAPP(c_COMBC(_u12650, tc_fun(_u12650, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12650)), _u12651)))), hAPP(hAPP(c_COMBC(_u12650, tc_fun(_u12650, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12650)), _u12652)))))))) )).
% 19.53/19.78 cnf(matrix-5885, plain, ( ~class_Lattices_Odistrib__lattice(_u12653) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12653), _u12654)) | ( _u12654 = c_Orderings_Obot__class_Obot(tc_fun(_u12653, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12653), _u12655), c_Big__Operators_Olattice__class_OSup__fin(_u12653, _u12654)) = c_Big__Operators_Olattice__class_OSup__fin(_u12653, hAPP(c_Set_OCollect(_u12653), hAPP(hAPP(c_COMBB(tc_fun(_u12653, tc_HOL_Obool), tc_HOL_Obool, _u12653), c_HOL_OEx(_u12653)), hAPP(hAPP(c_COMBC(_u12653, tc_fun(_u12653, tc_HOL_Obool), tc_fun(_u12653, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12653, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12653, tc_HOL_Obool), tc_fun(_u12653, tc_HOL_Obool)), _u12653), c_COMBS(_u12653, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12653, tc_HOL_Obool), tc_fun(_u12653, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12653), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12653), c_fconj)), hAPP(hAPP(c_COMBC(_u12653, tc_fun(_u12653, _u12653), tc_fun(_u12653, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12653, tc_HOL_Obool), tc_fun(tc_fun(_u12653, _u12653), tc_fun(_u12653, tc_HOL_Obool)), _u12653), c_COMBB(_u12653, tc_HOL_Obool, _u12653)), c_fequal)), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u12653), _u12655))))), hAPP(hAPP(c_COMBC(_u12653, tc_fun(_u12653, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12653)), _u12654)))))) )).
% 19.53/19.78 cnf(matrix-5886, plain, ( ~class_Orderings_Olinorder(_u12656) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12656), _u12657)) | ( _u12657 = c_Orderings_Obot__class_Obot(tc_fun(_u12656, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12656), _u12658)) | ( _u12658 = c_Orderings_Obot__class_Obot(tc_fun(_u12656, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12656), c_Big__Operators_Olattice_OInf__fin(_u12656, c_Orderings_Oord__class_Omin(_u12656), _u12657)), c_Big__Operators_Olattice_OInf__fin(_u12656, c_Orderings_Oord__class_Omin(_u12656), _u12658)) = c_Big__Operators_Olattice_OInf__fin(_u12656, c_Orderings_Oord__class_Omin(_u12656), hAPP(c_Set_OCollect(_u12656), hAPP(hAPP(c_COMBB(tc_fun(_u12656, tc_HOL_Obool), tc_HOL_Obool, _u12656), c_HOL_OEx(_u12656)), hAPP(hAPP(c_COMBB(tc_fun(_u12656, tc_fun(_u12656, tc_HOL_Obool)), tc_fun(_u12656, tc_HOL_Obool), _u12656), hAPP(c_COMBB(tc_fun(_u12656, tc_HOL_Obool), tc_HOL_Obool, _u12656), c_HOL_OEx(_u12656))), hAPP(hAPP(c_COMBC(_u12656, tc_fun(_u12656, tc_fun(_u12656, tc_HOL_Obool)), tc_fun(_u12656, tc_fun(_u12656, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12656, tc_fun(tc_fun(_u12656, tc_HOL_Obool), tc_fun(_u12656, tc_HOL_Obool))), tc_fun(tc_fun(_u12656, tc_fun(_u12656, tc_HOL_Obool)), tc_fun(_u12656, tc_fun(_u12656, tc_HOL_Obool))), _u12656), c_COMBS(_u12656, tc_fun(_u12656, tc_HOL_Obool), tc_fun(_u12656, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12656, tc_fun(_u12656, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u12656, tc_fun(tc_fun(_u12656, tc_HOL_Obool), tc_fun(_u12656, tc_HOL_Obool))), _u12656), hAPP(c_COMBB(tc_fun(_u12656, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12656, tc_HOL_Obool), tc_fun(_u12656, tc_HOL_Obool)), _u12656), c_COMBS(_u12656, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12656, tc_fun(_u12656, tc_HOL_Obool)), tc_fun(_u12656, tc_fun(_u12656, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u12656), hAPP(c_COMBB(tc_fun(_u12656, tc_HOL_Obool), tc_fun(_u12656, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12656), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12656), c_fconj))), hAPP(hAPP(c_COMBC(_u12656, tc_fun(_u12656, tc_fun(_u12656, _u12656)), tc_fun(_u12656, tc_fun(_u12656, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12656, _u12656), tc_fun(_u12656, tc_HOL_Obool)), tc_fun(tc_fun(_u12656, tc_fun(_u12656, _u12656)), tc_fun(_u12656, tc_fun(_u12656, tc_HOL_Obool))), _u12656), c_COMBB(tc_fun(_u12656, _u12656), tc_fun(_u12656, tc_HOL_Obool), _u12656)), hAPP(hAPP(c_COMBB(tc_fun(_u12656, tc_HOL_Obool), tc_fun(tc_fun(_u12656, _u12656), tc_fun(_u12656, tc_HOL_Obool)), _u12656), c_COMBB(_u12656, tc_HOL_Obool, _u12656)), c_fequal))), c_Orderings_Oord__class_Omax(_u12656)))))), hAPP(hAPP(c_COMBC(_u12656, tc_fun(_u12656, tc_HOL_Obool), tc_fun(_u12656, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12656, tc_HOL_Obool), tc_fun(_u12656, tc_HOL_Obool)), _u12656), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12656)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12656), c_fconj), hAPP(hAPP(c_COMBC(_u12656, tc_fun(_u12656, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12656)), _u12657)))), hAPP(hAPP(c_COMBC(_u12656, tc_fun(_u12656, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12656)), _u12658)))))))) )).
% 19.53/19.78 cnf(matrix-5887, plain, ( ~class_Orderings_Olinorder(_u12659) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12659), _u12660)) | ( _u12660 = c_Orderings_Obot__class_Obot(tc_fun(_u12659, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u12659), _u12661), c_Big__Operators_Olattice_OInf__fin(_u12659, c_Orderings_Oord__class_Omin(_u12659), _u12660)) = c_Big__Operators_Olattice_OInf__fin(_u12659, c_Orderings_Oord__class_Omin(_u12659), hAPP(c_Set_OCollect(_u12659), hAPP(hAPP(c_COMBB(tc_fun(_u12659, tc_HOL_Obool), tc_HOL_Obool, _u12659), c_HOL_OEx(_u12659)), hAPP(hAPP(c_COMBC(_u12659, tc_fun(_u12659, tc_HOL_Obool), tc_fun(_u12659, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12659, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12659, tc_HOL_Obool), tc_fun(_u12659, tc_HOL_Obool)), _u12659), c_COMBS(_u12659, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12659, tc_HOL_Obool), tc_fun(_u12659, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12659), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12659), c_fconj)), hAPP(hAPP(c_COMBC(_u12659, tc_fun(_u12659, _u12659), tc_fun(_u12659, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12659, tc_HOL_Obool), tc_fun(tc_fun(_u12659, _u12659), tc_fun(_u12659, tc_HOL_Obool)), _u12659), c_COMBB(_u12659, tc_HOL_Obool, _u12659)), c_fequal)), hAPP(c_Orderings_Oord__class_Omax(_u12659), _u12661))))), hAPP(hAPP(c_COMBC(_u12659, tc_fun(_u12659, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12659)), _u12660)))))) )).
% 19.53/19.78 cnf(matrix-5888, plain, ( ~class_Orderings_Olinorder(_u12662) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12662), _u12663)) | ( _u12663 = c_Orderings_Obot__class_Obot(tc_fun(_u12662, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u12662), _u12664), c_Big__Operators_Olattice_OSup__fin(_u12662, c_Orderings_Oord__class_Omax(_u12662), _u12663)) = c_Big__Operators_Olattice_OSup__fin(_u12662, c_Orderings_Oord__class_Omax(_u12662), hAPP(c_Set_OCollect(_u12662), hAPP(hAPP(c_COMBB(tc_fun(_u12662, tc_HOL_Obool), tc_HOL_Obool, _u12662), c_HOL_OEx(_u12662)), hAPP(hAPP(c_COMBC(_u12662, tc_fun(_u12662, tc_HOL_Obool), tc_fun(_u12662, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12662, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12662, tc_HOL_Obool), tc_fun(_u12662, tc_HOL_Obool)), _u12662), c_COMBS(_u12662, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12662, tc_HOL_Obool), tc_fun(_u12662, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12662), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12662), c_fconj)), hAPP(hAPP(c_COMBC(_u12662, tc_fun(_u12662, _u12662), tc_fun(_u12662, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12662, tc_HOL_Obool), tc_fun(tc_fun(_u12662, _u12662), tc_fun(_u12662, tc_HOL_Obool)), _u12662), c_COMBB(_u12662, tc_HOL_Obool, _u12662)), c_fequal)), hAPP(c_Orderings_Oord__class_Omin(_u12662), _u12664))))), hAPP(hAPP(c_COMBC(_u12662, tc_fun(_u12662, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12662)), _u12663)))))) )).
% 19.53/19.78 cnf(matrix-5889, plain, ( ( c_Nitpick_Oprod(_u12665, _u12666, _u12667, _u12668) = hAPP(c_Set_OCollect(tc_prod(_u12665, _u12666)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12665, _u12666, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12665, tc_fun(_u12666, tc_HOL_Obool), tc_fun(_u12666, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12666, tc_HOL_Obool), tc_fun(_u12666, tc_HOL_Obool)), _u12665), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12666)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12665), c_fconj), hAPP(hAPP(c_COMBC(_u12665, tc_fun(_u12665, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12665)), _u12667)))), hAPP(hAPP(c_COMBC(_u12666, tc_fun(_u12666, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12666)), _u12668))))) )).
% 19.53/19.78 cnf(matrix-5890, plain, ( ( c_Int_Oint__ge__less__than2(_u12669) = hAPP(c_Set_OCollect(tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_Int_Oint), hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12669)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 19.53/19.78 cnf(matrix-5891, plain, ( ( c_Int_Oint__ge__less__than(_u12670) = hAPP(c_Set_OCollect(tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, tc_HOL_Obool), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_fun(tc_Int_Oint, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_Int_Oint, tc_HOL_Obool), tc_fun(tc_Int_Oint, tc_HOL_Obool)), tc_Int_Oint), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u12670)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 19.53/19.78 cnf(matrix-5892, plain, ( ~c_Predicate_Oreflp(_u12673, _u12675) | c_Relation_Orefl__on(_u12673, c_Orderings_Otop__class_Otop(tc_fun(_u12673, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u12673, _u12673)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12673, _u12673, tc_HOL_Obool), _u12675))) )).
% 19.53/19.78 cnf(matrix-5893, plain, ( ~c_Relation_Orefl__on(_u12674, c_Orderings_Otop__class_Otop(tc_fun(_u12674, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u12674, _u12674)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12674, _u12674, tc_HOL_Obool), _u12676))) | c_Predicate_Oreflp(_u12674, _u12676) )).
% 19.53/19.78 cnf(matrix-5894, plain, ( ~class_Rings_Osemiring__0(_u12677) | ~c_Fun_Oinj__on(tc_prod(_u12678, _u12679), _u12677, hAPP(c_Product__Type_Oprod_Oprod__case(_u12678, _u12679, _u12677), hAPP(hAPP(c_COMBC(_u12678, tc_fun(_u12679, _u12677), tc_fun(_u12679, _u12677)), hAPP(hAPP(c_COMBB(tc_fun(_u12677, _u12677), tc_fun(tc_fun(_u12679, _u12677), tc_fun(_u12679, _u12677)), _u12678), c_COMBB(_u12677, _u12677, _u12679)), hAPP(hAPP(c_COMBB(_u12677, tc_fun(_u12677, _u12677), _u12678), c_Groups_Otimes__class_Otimes(_u12677)), _u12680))), _u12681)), hAPP(hAPP(c_Product__Type_OSigma(_u12678, _u12679), _u12682), hAPP(c_COMBK(tc_fun(_u12679, tc_HOL_Obool), _u12678), _u12683))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12677), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12678, _u12677), _u12680), _u12682)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12679, _u12677), _u12681), _u12683)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12677, _u12677), c_Fun_Oid(_u12677)), hAPP(c_Set_OCollect(_u12677), hAPP(hAPP(c_COMBB(tc_fun(_u12678, tc_HOL_Obool), tc_HOL_Obool, _u12677), c_HOL_OEx(_u12678)), hAPP(hAPP(c_COMBB(tc_fun(_u12678, tc_fun(_u12679, tc_HOL_Obool)), tc_fun(_u12678, tc_HOL_Obool), _u12677), hAPP(c_COMBB(tc_fun(_u12679, tc_HOL_Obool), tc_HOL_Obool, _u12678), c_HOL_OEx(_u12679))), hAPP(hAPP(c_COMBC(_u12677, tc_fun(_u12678, tc_fun(_u12679, tc_HOL_Obool)), tc_fun(_u12678, tc_fun(_u12679, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12678, tc_fun(tc_fun(_u12679, tc_HOL_Obool), tc_fun(_u12679, tc_HOL_Obool))), tc_fun(tc_fun(_u12678, tc_fun(_u12679, tc_HOL_Obool)), tc_fun(_u12678, tc_fun(_u12679, tc_HOL_Obool))), _u12677), c_COMBS(_u12678, tc_fun(_u12679, tc_HOL_Obool), tc_fun(_u12679, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12678, tc_fun(_u12679, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u12678, tc_fun(tc_fun(_u12679, tc_HOL_Obool), tc_fun(_u12679, tc_HOL_Obool))), _u12677), hAPP(c_COMBB(tc_fun(_u12679, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12679, tc_HOL_Obool), tc_fun(_u12679, tc_HOL_Obool)), _u12678), c_COMBS(_u12679, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12678, tc_fun(_u12679, tc_HOL_Obool)), tc_fun(_u12678, tc_fun(_u12679, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u12677), hAPP(c_COMBB(tc_fun(_u12679, tc_HOL_Obool), tc_fun(_u12679, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12678), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12679), c_fconj))), hAPP(hAPP(c_COMBC(_u12677, tc_fun(_u12678, tc_fun(_u12679, _u12677)), tc_fun(_u12678, tc_fun(_u12679, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12679, _u12677), tc_fun(_u12679, tc_HOL_Obool)), tc_fun(tc_fun(_u12678, tc_fun(_u12679, _u12677)), tc_fun(_u12678, tc_fun(_u12679, tc_HOL_Obool))), _u12677), c_COMBB(tc_fun(_u12679, _u12677), tc_fun(_u12679, tc_HOL_Obool), _u12678)), hAPP(hAPP(c_COMBB(tc_fun(_u12677, tc_HOL_Obool), tc_fun(tc_fun(_u12679, _u12677), tc_fun(_u12679, tc_HOL_Obool)), _u12677), c_COMBB(_u12677, tc_HOL_Obool, _u12679)), c_fequal))), hAPP(hAPP(c_COMBC(_u12678, tc_fun(_u12679, _u12677), tc_fun(_u12679, _u12677)), hAPP(hAPP(c_COMBB(tc_fun(_u12677, _u12677), tc_fun(tc_fun(_u12679, _u12677), tc_fun(_u12679, _u12677)), _u12678), c_COMBB(_u12677, _u12677, _u12679)), hAPP(hAPP(c_COMBB(_u12677, tc_fun(_u12677, _u12677), _u12678), c_Groups_Otimes__class_Otimes(_u12677)), _u12680))), _u12681)))))), hAPP(hAPP(c_COMBC(_u12678, tc_fun(_u12679, tc_HOL_Obool), tc_fun(_u12679, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12679, tc_HOL_Obool), tc_fun(_u12679, tc_HOL_Obool)), _u12678), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12679)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12678), c_fconj), hAPP(hAPP(c_COMBC(_u12678, tc_fun(_u12678, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12678)), _u12682)))), hAPP(hAPP(c_COMBC(_u12679, tc_fun(_u12679, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12679)), _u12683)))))))) )).
% 19.53/19.78 cnf(matrix-5895, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12685), _u12686)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12687), _u12688)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12685, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u12687, tc_HOL_Obool), tc_Nat_Onat, _u12685), c_Finite__Set_Ocard(_u12687)), hAPP(hAPP(c_COMBB(tc_fun(_u12687, tc_HOL_Obool), tc_fun(_u12687, tc_HOL_Obool), _u12685), c_Set_OCollect(_u12687)), hAPP(hAPP(c_COMBB(tc_fun(_u12687, tc_HOL_Obool), tc_fun(_u12687, tc_HOL_Obool), _u12685), hAPP(c_COMBS(_u12687, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12687), c_fconj), hAPP(hAPP(c_COMBC(_u12687, tc_fun(_u12687, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12687)), _u12688)))), _u12689)))), _u12686) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12687, tc_Nat_Onat), _u12690), _u12688)) | hBOOL(hAPP(hAPP(c_member(_u12687), skolem305(_u12690, _u12689, _u12688, _u12687, _u12686, _u12685)), _u12688)) )).
% 19.53/19.78 cnf(matrix-5896, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12685), _u12686)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12687), _u12688)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12685, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u12687, tc_HOL_Obool), tc_Nat_Onat, _u12685), c_Finite__Set_Ocard(_u12687)), hAPP(hAPP(c_COMBB(tc_fun(_u12687, tc_HOL_Obool), tc_fun(_u12687, tc_HOL_Obool), _u12685), c_Set_OCollect(_u12687)), hAPP(hAPP(c_COMBB(tc_fun(_u12687, tc_HOL_Obool), tc_fun(_u12687, tc_HOL_Obool), _u12685), hAPP(c_COMBS(_u12687, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12687), c_fconj), hAPP(hAPP(c_COMBC(_u12687, tc_fun(_u12687, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12687)), _u12688)))), _u12689)))), _u12686) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12687, tc_Nat_Onat), _u12690), _u12688)) | ( hAPP(c_Finite__Set_Ocard(_u12685), hAPP(c_Set_OCollect(_u12685), hAPP(hAPP(c_COMBS(_u12685, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12685), c_fconj), hAPP(hAPP(c_COMBC(_u12685, tc_fun(_u12685, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12685)), _u12686))), hAPP(hAPP(c_COMBC(_u12685, _u12687, tc_HOL_Obool), _u12689), skolem305(_u12690, _u12689, _u12688, _u12687, _u12686, _u12685))))) != hAPP(_u12690, skolem305(_u12690, _u12689, _u12688, _u12687, _u12686, _u12685))) )).
% 19.53/19.78 cnf(matrix-5897, plain, ( c_Fun_Oinj__on(_u12691, _u12691, c_Fun_Oid(_u12691), _u12692) )).
% 19.53/19.78 cnf(matrix-5898, plain, ( ( hAPP(c_Fun_Oid(_u12693), _u12694) = _u12694) )).
% 19.53/19.78 cnf(matrix-5899, plain, ( ( hAPP(c_Fun_Oid(_u12695), _u12696) = _u12696) )).
% 19.53/19.78 cnf(matrix-5900, plain, ( hBOOL(hAPP(hAPP(_u12698, _u12699), _u12699)) | ~c_Predicate_Oreflp(_u12697, _u12698) )).
% 19.53/19.78 cnf(matrix-5901, plain, ( ( c_Product__Type_Oapsnd(_u12700, _u12700, _u12701, c_Fun_Oid(_u12700)) = c_Fun_Oid(tc_prod(_u12701, _u12700))) )).
% 19.53/19.78 cnf(matrix-5902, plain, ( ( c_Product__Type_Oapfst(_u12702, _u12702, _u12703, c_Fun_Oid(_u12702)) = c_Fun_Oid(tc_prod(_u12702, _u12703))) )).
% 19.53/19.78 cnf(matrix-5903, plain, ( ( hAPP(c_Set_Ovimage(_u12704, _u12704, c_Fun_Oid(_u12704)), _u12705) = _u12705) )).
% 19.53/19.78 cnf(matrix-5904, plain, ( ( c_Product__Type_Omap__pair(_u12706, _u12706, _u12707, _u12707, c_Fun_Oid(_u12706), c_Fun_Oid(_u12707)) = c_Fun_Oid(tc_prod(_u12706, _u12707))) )).
% 19.53/19.78 cnf(matrix-5905, plain, ( ( c_Product__Type_Omap__pair(_u12708, _u12708, _u12709, _u12709, c_COMBI(_u12708), c_COMBI(_u12709)) = c_Fun_Oid(tc_prod(_u12708, _u12709))) )).
% 19.53/19.78 cnf(matrix-5906, plain, ( ( hAPP(c_Set_Oimage(_u12710, _u12710, c_Fun_Oid(_u12710)), _u12711) = _u12711) )).
% 19.53/19.78 cnf(matrix-5907, plain, ( ( c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint)) )).
% 19.53/19.78 cnf(matrix-5908, plain, ( ( hAPP(c_Set_Oimage(_u12712, _u12712, c_Fun_Oid(_u12712)), c_Orderings_Otop__class_Otop(tc_fun(_u12712, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u12712, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5909, plain, ( ( c_Product__Type_Oapsnd(_u12713, _u12714, _u12715, _u12716) = c_Product__Type_Omap__pair(_u12715, _u12715, _u12713, _u12714, c_Fun_Oid(_u12715), _u12716)) )).
% 19.53/19.78 cnf(matrix-5910, plain, ( ( c_Product__Type_Oapfst(_u12717, _u12718, _u12719, _u12720) = c_Product__Type_Omap__pair(_u12717, _u12718, _u12719, _u12719, _u12720, c_Fun_Oid(_u12719))) )).
% 19.53/19.78 cnf(matrix-5911, plain, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u12721, _u12722, tc_prod(_u12721, _u12722)), c_Product__Type_OPair(_u12721, _u12722)) = c_Fun_Oid(tc_prod(_u12721, _u12722))) )).
% 19.53/19.78 cnf(matrix-5912, plain, ( ~class_Groups_Ocomm__monoid__add(_u12723) | ~c_Fun_Oinj__on(_u12724, _u12723, _u12725, _u12726) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12724, _u12723), _u12725), _u12726) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12723, _u12723), c_Fun_Oid(_u12723)), hAPP(c_Set_Oimage(_u12724, _u12723, _u12725), _u12726))) )).
% 19.53/19.78 cnf(matrix-5913, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12727) | ~c_Fun_Oinj__on(_u12728, _u12727, _u12729, _u12730) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12728, _u12727), _u12729), _u12730) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12727, _u12727), c_Fun_Oid(_u12727)), hAPP(c_Set_Oimage(_u12728, _u12727, _u12729), _u12730))) )).
% 19.53/19.78 cnf(matrix-5914, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12737), _u12739)) | ( _u12739 = hAPP(c_Set_Oimage(tc_Nat_Onat, _u12737, skolem307(_u12739, _u12737)), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), skolem306(_u12739, _u12737))))) )).
% 19.53/19.78 cnf(matrix-5915, plain, ( ( _u12740 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u12738, _u12733), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u12734)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12738), _u12740)) )).
% 19.53/19.78 cnf(matrix-5916, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12741, _u12742, _u12743), _u12744), _u12745) = hAPP(c_Set_OCollect(tc_prod(_u12741, _u12743)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12741, _u12743, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u12743, tc_fun(_u12742, tc_HOL_Obool)), tc_fun(_u12743, tc_HOL_Obool), _u12741), hAPP(c_COMBB(tc_fun(_u12742, tc_HOL_Obool), tc_HOL_Obool, _u12743), c_HOL_OEx(_u12742))), hAPP(hAPP(c_COMBC(_u12741, tc_fun(_u12743, tc_fun(_u12742, tc_HOL_Obool)), tc_fun(_u12743, tc_fun(_u12742, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12742, tc_HOL_Obool), tc_fun(_u12742, tc_HOL_Obool)), tc_fun(tc_fun(_u12743, tc_fun(_u12742, tc_HOL_Obool)), tc_fun(_u12743, tc_fun(_u12742, tc_HOL_Obool))), _u12741), c_COMBB(tc_fun(_u12742, tc_HOL_Obool), tc_fun(_u12742, tc_HOL_Obool), _u12743)), hAPP(hAPP(c_COMBB(tc_fun(_u12742, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12742, tc_HOL_Obool), tc_fun(_u12742, tc_HOL_Obool)), _u12741), c_COMBS(_u12742, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12742, tc_HOL_Obool), tc_fun(_u12742, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12741), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12742), c_fconj)), hAPP(hAPP(c_COMBC(_u12741, tc_fun(tc_prod(_u12741, _u12742), tc_HOL_Obool), tc_fun(_u12742, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12742, tc_fun(tc_fun(tc_prod(_u12741, _u12742), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12741, _u12742), tc_HOL_Obool), tc_fun(_u12742, tc_HOL_Obool)), _u12741), c_COMBC(_u12742, tc_fun(tc_prod(_u12741, _u12742), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12742, tc_prod(_u12741, _u12742)), tc_fun(_u12742, tc_fun(tc_fun(tc_prod(_u12741, _u12742), tc_HOL_Obool), tc_HOL_Obool)), _u12741), hAPP(c_COMBB(tc_prod(_u12741, _u12742), tc_fun(tc_fun(tc_prod(_u12741, _u12742), tc_HOL_Obool), tc_HOL_Obool), _u12742), c_member(tc_prod(_u12741, _u12742)))), c_Product__Type_OPair(_u12741, _u12742)))), _u12744))))), hAPP(hAPP(c_COMBC(_u12743, tc_fun(tc_prod(_u12742, _u12743), tc_HOL_Obool), tc_fun(_u12742, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12742, tc_fun(tc_fun(tc_prod(_u12742, _u12743), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12742, _u12743), tc_HOL_Obool), tc_fun(_u12742, tc_HOL_Obool)), _u12743), c_COMBC(_u12742, tc_fun(tc_prod(_u12742, _u12743), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12742, tc_prod(_u12742, _u12743)), tc_fun(_u12742, tc_fun(tc_fun(tc_prod(_u12742, _u12743), tc_HOL_Obool), tc_HOL_Obool)), _u12743), hAPP(c_COMBB(tc_prod(_u12742, _u12743), tc_fun(tc_fun(tc_prod(_u12742, _u12743), tc_HOL_Obool), tc_HOL_Obool), _u12742), c_member(tc_prod(_u12742, _u12743)))), hAPP(c_COMBC(_u12742, _u12743, tc_prod(_u12742, _u12743)), c_Product__Type_OPair(_u12742, _u12743))))), _u12745)))))) )).
% 19.53/19.78 cnf(matrix-5917, plain, ( ( hAPP(c_Relation_ORange(_u12746, _u12747), hAPP(c_Set_OCollect(tc_prod(_u12746, _u12747)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12746, _u12747, tc_HOL_Obool), _u12748))) = hAPP(c_Set_OCollect(_u12747), hAPP(hAPP(c_COMBB(tc_fun(_u12746, tc_HOL_Obool), tc_HOL_Obool, _u12747), c_HOL_OEx(_u12746)), hAPP(c_COMBC(_u12746, _u12747, tc_HOL_Obool), _u12748)))) )).
% 19.53/19.78 cnf(matrix-5918, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12749, _u12750)), hAPP(hAPP(c_Product__Type_OPair(_u12749, _u12750), _u12751), _u12752)), _u12753)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12750, _u12754)), hAPP(hAPP(c_Product__Type_OPair(_u12750, _u12754), _u12752), _u12755)), _u12756)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12749, _u12754)), hAPP(hAPP(c_Product__Type_OPair(_u12749, _u12754), _u12751), _u12755)), hAPP(hAPP(c_Relation_Orel__comp(_u12749, _u12750, _u12754), _u12753), _u12756))) )).
% 19.53/19.78 cnf(matrix-5919, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12757, _u12758)), hAPP(hAPP(c_Product__Type_OPair(_u12757, _u12758), _u12759), _u12760)), _u12761)) | hBOOL(hAPP(hAPP(c_member(_u12758), _u12760), hAPP(c_Relation_ORange(_u12757, _u12758), _u12761))) )).
% 19.53/19.78 cnf(matrix-5920, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12762, _u12763, _u12764), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12765, tc_fun(tc_prod(_u12762, _u12763), tc_HOL_Obool)), _u12766), _u12767)), _u12768) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12765, tc_fun(tc_prod(_u12762, _u12764), tc_HOL_Obool)), _u12766), hAPP(hAPP(c_COMBC(_u12765, tc_fun(tc_prod(_u12763, _u12764), tc_HOL_Obool), tc_fun(tc_prod(_u12762, _u12764), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u12762, _u12763), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u12763, _u12764), tc_HOL_Obool), tc_fun(tc_prod(_u12762, _u12764), tc_HOL_Obool)), _u12765), c_Relation_Orel__comp(_u12762, _u12763, _u12764)), _u12767)), _u12768))) )).
% 19.53/19.78 cnf(matrix-5921, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12769, _u12770, _u12771), _u12772), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12773, tc_fun(tc_prod(_u12770, _u12771), tc_HOL_Obool)), _u12774), _u12775)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12773, tc_fun(tc_prod(_u12769, _u12771), tc_HOL_Obool)), _u12774), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u12770, _u12771), tc_HOL_Obool), tc_fun(tc_prod(_u12769, _u12771), tc_HOL_Obool), _u12773), hAPP(c_Relation_Orel__comp(_u12769, _u12770, _u12771), _u12772)), _u12775))) )).
% 19.53/19.78 cnf(matrix-5922, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12776, _u12777), tc_HOL_Obool)), _u12778), _u12779)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12777, _u12780), tc_HOL_Obool)), _u12781), _u12782)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12776, _u12780), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12776, _u12777, _u12780), _u12778), _u12781)), hAPP(hAPP(c_Relation_Orel__comp(_u12776, _u12777, _u12780), _u12779), _u12782))) )).
% 19.53/19.78 cnf(matrix-5923, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12783, _u12784, _u12785), _u12786), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12784, _u12785), tc_HOL_Obool)), _u12787), _u12788)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12783, _u12785), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12783, _u12784, _u12785), _u12786), _u12787)), hAPP(hAPP(c_Relation_Orel__comp(_u12783, _u12784, _u12785), _u12786), _u12788))) )).
% 19.53/19.78 cnf(matrix-5924, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12789, _u12790, _u12791), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12789, _u12790), tc_HOL_Obool)), _u12792), _u12793)), _u12794) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12789, _u12791), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12789, _u12790, _u12791), _u12792), _u12794)), hAPP(hAPP(c_Relation_Orel__comp(_u12789, _u12790, _u12791), _u12793), _u12794))) )).
% 19.53/19.78 cnf(matrix-5925, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12795, _u12796, _u12797), hAPP(hAPP(c_Relation_Orel__comp(_u12795, _u12798, _u12796), _u12799), _u12800)), _u12801) = hAPP(hAPP(c_Relation_Orel__comp(_u12795, _u12798, _u12797), _u12799), hAPP(hAPP(c_Relation_Orel__comp(_u12798, _u12796, _u12797), _u12800), _u12801))) )).
% 19.53/19.78 cnf(matrix-5926, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12802, _u12803, _u12804), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12802, _u12803), tc_HOL_Obool))), _u12805) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12802, _u12804), tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5927, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12806, _u12807, _u12808), _u12809), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12807, _u12808), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12806, _u12808), tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5928, plain, ( ( hAPP(c_Relation_ORange(_u12810, _u12810), c_Relation_OId__on(_u12810, _u12811)) = _u12811) )).
% 19.53/19.78 cnf(matrix-5929, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12812, _u12812, _u12812), _u12813), _u12814) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12812, _u12812), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12812, _u12812, _u12812), _u12813), _u12815) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12812, _u12812), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12812, _u12812, _u12812), _u12813), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12812, _u12812), tc_HOL_Obool)), _u12814), _u12815)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12812, _u12812), tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5930, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12816, _u12816, _u12816), _u12817), _u12818) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12816, _u12816), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12816, _u12816, _u12816), _u12819), _u12818) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12816, _u12816), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12816, _u12816, _u12816), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12816, _u12816), tc_HOL_Obool)), _u12817), _u12819)), _u12818) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12816, _u12816), tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5931, plain, ( ( hAPP(c_Relation_ORange(_u12820, _u12821), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u12820, _u12821), tc_HOL_Obool), _u12822)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u12820, _u12821), tc_HOL_Obool), tc_fun(_u12821, tc_HOL_Obool)), _u12822), c_Relation_ORange(_u12820, _u12821))) )).
% 19.53/19.78 cnf(matrix-5932, plain, ( ( hAPP(c_Relation_ORange(_u12823, _u12824), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12823, _u12824), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u12824, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5933, plain, ( ( hAPP(c_Relation_ORange(_u12828, _u12830), _u12832) != c_Orderings_Obot__class_Obot(tc_fun(_u12830, tc_HOL_Obool))) | ( _u12832 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12828, _u12830), tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5934, plain, ( ( _u12833 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12829, _u12831), tc_HOL_Obool))) | ( hAPP(c_Relation_ORange(_u12829, _u12831), _u12833) = c_Orderings_Obot__class_Obot(tc_fun(_u12831, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5935, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12834, _u12835), tc_HOL_Obool)), _u12836), hAPP(hAPP(c_Product__Type_OSigma(_u12834, _u12835), _u12837), hAPP(c_COMBK(tc_fun(_u12835, tc_HOL_Obool), _u12834), _u12838)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12835, _u12839), tc_HOL_Obool)), _u12840), hAPP(hAPP(c_Product__Type_OSigma(_u12835, _u12839), _u12838), hAPP(c_COMBK(tc_fun(_u12839, tc_HOL_Obool), _u12835), _u12841)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12834, _u12839), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12834, _u12835, _u12839), _u12836), _u12840)), hAPP(hAPP(c_Product__Type_OSigma(_u12834, _u12839), _u12837), hAPP(c_COMBK(tc_fun(_u12839, tc_HOL_Obool), _u12834), _u12841)))) )).
% 19.53/19.78 cnf(matrix-5936, plain, ( ( hAPP(c_Relation_ORange(_u12842, _u12843), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12842, _u12843), tc_HOL_Obool)), _u12844), _u12845)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12843, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12842, _u12843), _u12844)), hAPP(c_Relation_ORange(_u12842, _u12843), _u12845))) )).
% 19.53/19.78 cnf(matrix-5937, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12846, _u12847)), _u12848)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12847), hAPP(c_Relation_ORange(_u12846, _u12847), _u12848))) )).
% 19.53/19.78 cnf(matrix-5938, plain, ( ( hAPP(c_Set_Oimage(tc_prod(_u12849, _u12850), _u12850, c_Product__Type_Osnd(_u12849, _u12850)), _u12851) = hAPP(c_Relation_ORange(_u12849, _u12850), _u12851)) )).
% 19.53/19.78 cnf(matrix-5939, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12858), _u12860), hAPP(c_Relation_ORange(_u12862, _u12858), _u12864))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12862, _u12858)), hAPP(hAPP(c_Product__Type_OPair(_u12862, _u12858), skolem308(_u12864, _u12862, _u12860, _u12858)), _u12860)), _u12864)) )).
% 19.53/19.78 cnf(matrix-5940, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12863, _u12859)), hAPP(hAPP(c_Product__Type_OPair(_u12863, _u12859), _u12853), _u12861)), _u12865)) | hBOOL(hAPP(hAPP(c_member(_u12859), _u12861), hAPP(c_Relation_ORange(_u12863, _u12859), _u12865))) )).
% 19.53/19.78 cnf(matrix-5941, plain, ( ( hAPP(c_Relation_ORange(_u12866, _u12867), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u12866, _u12867)), hAPP(hAPP(c_Product__Type_OPair(_u12866, _u12867), _u12868), _u12869)), _u12870)) = hAPP(hAPP(c_Set_Oinsert(_u12867), _u12869), hAPP(c_Relation_ORange(_u12866, _u12867), _u12870))) )).
% 19.53/19.78 cnf(matrix-5942, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12871, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12872, _u12871), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12872, _u12871), tc_HOL_Obool)), _u12873), _u12874))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12871, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12872, _u12871), _u12873)), hAPP(c_Relation_ORange(_u12872, _u12871), _u12874)))) )).
% 19.53/19.78 cnf(matrix-5943, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12875, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12875, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12876, _u12875), _u12877)), hAPP(c_Relation_ORange(_u12876, _u12875), _u12878))), hAPP(c_Relation_ORange(_u12876, _u12875), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12876, _u12875), tc_HOL_Obool)), _u12877), _u12878)))) )).
% 19.53/19.78 cnf(matrix-5944, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12879, _u12879), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12879, _u12879, _u12879), _u12880), _u12881)), _u12880)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u12879, tc_HOL_Obool), tc_fun(_u12879, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u12879, tc_HOL_Obool), tc_fun(_u12879, tc_HOL_Obool), tc_fun(_u12879, tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u12879, _u12880)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u12879, tc_HOL_Obool), tc_fun(_u12879, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u12879, _u12881)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u12879, tc_HOL_Obool), tc_fun(_u12879, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12879, tc_HOL_Obool), tc_fun(_u12879, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u12879, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u12879, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u12879, tc_HOL_Obool), tc_fun(_u12879, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omax__ext(_u12879, _u12880))) )).
% 19.53/19.78 cnf(matrix-5945, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12882, _u12882), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12882, _u12882, _u12882), _u12883), _u12884)), _u12883)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u12882, tc_HOL_Obool), tc_fun(_u12882, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u12882, tc_HOL_Obool), tc_fun(_u12882, tc_HOL_Obool), tc_fun(_u12882, tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u12882, _u12883)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u12882, tc_HOL_Obool), tc_fun(_u12882, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u12882, _u12884)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u12882, tc_HOL_Obool), tc_fun(_u12882, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12882, tc_HOL_Obool), tc_fun(_u12882, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u12882, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u12882, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u12882, tc_HOL_Obool), tc_fun(_u12882, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omin__ext(_u12882, _u12883))) )).
% 19.53/19.78 cnf(matrix-5946, plain, ( ~hBOOL(hAPP(c_Predicate_ORangeP(_u12889, _u12891, hAPP(hAPP(c_COMBC(_u12889, tc_fun(tc_prod(_u12889, _u12891), tc_HOL_Obool), tc_fun(_u12891, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12891, tc_fun(tc_fun(tc_prod(_u12889, _u12891), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12889, _u12891), tc_HOL_Obool), tc_fun(_u12891, tc_HOL_Obool)), _u12889), c_COMBC(_u12891, tc_fun(tc_prod(_u12889, _u12891), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12891, tc_prod(_u12889, _u12891)), tc_fun(_u12891, tc_fun(tc_fun(tc_prod(_u12889, _u12891), tc_HOL_Obool), tc_HOL_Obool)), _u12889), hAPP(c_COMBB(tc_prod(_u12889, _u12891), tc_fun(tc_fun(tc_prod(_u12889, _u12891), tc_HOL_Obool), tc_HOL_Obool), _u12891), c_member(tc_prod(_u12889, _u12891)))), c_Product__Type_OPair(_u12889, _u12891)))), _u12893)), _u12895)) | hBOOL(hAPP(hAPP(c_member(_u12891), _u12895), hAPP(c_Relation_ORange(_u12889, _u12891), _u12893))) )).
% 19.53/19.78 cnf(matrix-5947, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12892), _u12896), hAPP(c_Relation_ORange(_u12890, _u12892), _u12894))) | hBOOL(hAPP(c_Predicate_ORangeP(_u12890, _u12892, hAPP(hAPP(c_COMBC(_u12890, tc_fun(tc_prod(_u12890, _u12892), tc_HOL_Obool), tc_fun(_u12892, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12892, tc_fun(tc_fun(tc_prod(_u12890, _u12892), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12890, _u12892), tc_HOL_Obool), tc_fun(_u12892, tc_HOL_Obool)), _u12890), c_COMBC(_u12892, tc_fun(tc_prod(_u12890, _u12892), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12892, tc_prod(_u12890, _u12892)), tc_fun(_u12892, tc_fun(tc_fun(tc_prod(_u12890, _u12892), tc_HOL_Obool), tc_HOL_Obool)), _u12890), hAPP(c_COMBB(tc_prod(_u12890, _u12892), tc_fun(tc_fun(tc_prod(_u12890, _u12892), tc_HOL_Obool), tc_HOL_Obool), _u12892), c_member(tc_prod(_u12890, _u12892)))), c_Product__Type_OPair(_u12890, _u12892)))), _u12894)), _u12896)) )).
% 19.53/19.78 cnf(matrix-5948, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12898), _u12899), hAPP(c_Relation_ORange(_u12900, _u12898), _u12901))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12900, _u12898)), hAPP(hAPP(c_Product__Type_OPair(_u12900, _u12898), skolem309(_u12901, _u12900, _u12899, _u12898)), _u12899)), _u12901)) )).
% 19.53/19.78 cnf(matrix-5949, plain, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12909, _u12911, _u12913, hAPP(hAPP(c_COMBC(_u12909, tc_fun(tc_prod(_u12909, _u12911), tc_HOL_Obool), tc_fun(_u12911, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12911, tc_fun(tc_fun(tc_prod(_u12909, _u12911), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12909, _u12911), tc_HOL_Obool), tc_fun(_u12911, tc_HOL_Obool)), _u12909), c_COMBC(_u12911, tc_fun(tc_prod(_u12909, _u12911), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12911, tc_prod(_u12909, _u12911)), tc_fun(_u12911, tc_fun(tc_fun(tc_prod(_u12909, _u12911), tc_HOL_Obool), tc_HOL_Obool)), _u12909), hAPP(c_COMBB(tc_prod(_u12909, _u12911), tc_fun(tc_fun(tc_prod(_u12909, _u12911), tc_HOL_Obool), tc_HOL_Obool), _u12911), c_member(tc_prod(_u12909, _u12911)))), c_Product__Type_OPair(_u12909, _u12911)))), _u12915), hAPP(hAPP(c_COMBC(_u12911, tc_fun(tc_prod(_u12911, _u12913), tc_HOL_Obool), tc_fun(_u12913, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12913, tc_fun(tc_fun(tc_prod(_u12911, _u12913), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12911, _u12913), tc_HOL_Obool), tc_fun(_u12913, tc_HOL_Obool)), _u12911), c_COMBC(_u12913, tc_fun(tc_prod(_u12911, _u12913), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12913, tc_prod(_u12911, _u12913)), tc_fun(_u12913, tc_fun(tc_fun(tc_prod(_u12911, _u12913), tc_HOL_Obool), tc_HOL_Obool)), _u12911), hAPP(c_COMBB(tc_prod(_u12911, _u12913), tc_fun(tc_fun(tc_prod(_u12911, _u12913), tc_HOL_Obool), tc_HOL_Obool), _u12913), c_member(tc_prod(_u12911, _u12913)))), c_Product__Type_OPair(_u12911, _u12913)))), _u12917)), _u12919), _u12921)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12909, _u12913)), hAPP(hAPP(c_Product__Type_OPair(_u12909, _u12913), _u12919), _u12921)), hAPP(hAPP(c_Relation_Orel__comp(_u12909, _u12911, _u12913), _u12915), _u12917))) )).
% 19.53/19.78 cnf(matrix-5950, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12910, _u12914)), hAPP(hAPP(c_Product__Type_OPair(_u12910, _u12914), _u12920), _u12922)), hAPP(hAPP(c_Relation_Orel__comp(_u12910, _u12912, _u12914), _u12916), _u12918))) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12910, _u12912, _u12914, hAPP(hAPP(c_COMBC(_u12910, tc_fun(tc_prod(_u12910, _u12912), tc_HOL_Obool), tc_fun(_u12912, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12912, tc_fun(tc_fun(tc_prod(_u12910, _u12912), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12910, _u12912), tc_HOL_Obool), tc_fun(_u12912, tc_HOL_Obool)), _u12910), c_COMBC(_u12912, tc_fun(tc_prod(_u12910, _u12912), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12912, tc_prod(_u12910, _u12912)), tc_fun(_u12912, tc_fun(tc_fun(tc_prod(_u12910, _u12912), tc_HOL_Obool), tc_HOL_Obool)), _u12910), hAPP(c_COMBB(tc_prod(_u12910, _u12912), tc_fun(tc_fun(tc_prod(_u12910, _u12912), tc_HOL_Obool), tc_HOL_Obool), _u12912), c_member(tc_prod(_u12910, _u12912)))), c_Product__Type_OPair(_u12910, _u12912)))), _u12916), hAPP(hAPP(c_COMBC(_u12912, tc_fun(tc_prod(_u12912, _u12914), tc_HOL_Obool), tc_fun(_u12914, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12914, tc_fun(tc_fun(tc_prod(_u12912, _u12914), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12912, _u12914), tc_HOL_Obool), tc_fun(_u12914, tc_HOL_Obool)), _u12912), c_COMBC(_u12914, tc_fun(tc_prod(_u12912, _u12914), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12914, tc_prod(_u12912, _u12914)), tc_fun(_u12914, tc_fun(tc_fun(tc_prod(_u12912, _u12914), tc_HOL_Obool), tc_HOL_Obool)), _u12912), hAPP(c_COMBB(tc_prod(_u12912, _u12914), tc_fun(tc_fun(tc_prod(_u12912, _u12914), tc_HOL_Obool), tc_HOL_Obool), _u12914), c_member(tc_prod(_u12912, _u12914)))), c_Product__Type_OPair(_u12912, _u12914)))), _u12918)), _u12920), _u12922)) )).
% 19.53/19.78 cnf(matrix-5951, plain, ( ~hBOOL(hAPP(hAPP(_u12923, _u12924), _u12925)) | ~hBOOL(hAPP(hAPP(_u12926, _u12925), _u12927)) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12928, _u12929, _u12930, _u12923, _u12926), _u12924), _u12927)) )).
% 19.53/19.78 cnf(matrix-5952, plain, ( ~hBOOL(hAPP(hAPP(_u12931, _u12932), _u12933)) | hBOOL(hAPP(c_Predicate_ORangeP(_u12934, _u12935, _u12931), _u12933)) )).
% 19.53/19.78 cnf(matrix-5953, plain, ( hBOOL(hAPP(hAPP(_u12946, skolem310(_u12948, _u12946)), _u12948)) | ~hBOOL(hAPP(c_Predicate_ORangeP(_u12942, _u12944, _u12946), _u12948)) )).
% 19.53/19.78 cnf(matrix-5954, plain, ( ~hBOOL(hAPP(hAPP(_u12947, _u12937), _u12949)) | hBOOL(hAPP(c_Predicate_ORangeP(_u12943, _u12945, _u12947), _u12949)) )).
% 19.53/19.78 cnf(matrix-5955, plain, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12959, _u12961, _u12963, _u12965, _u12967), _u12969), _u12971)) | hBOOL(hAPP(hAPP(_u12965, _u12969), skolem311(_u12971, _u12969, _u12967, _u12965))) )).
% 19.53/19.78 cnf(matrix-5956, plain, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12959, _u12961, _u12963, _u12965, _u12967), _u12969), _u12971)) | hBOOL(hAPP(hAPP(_u12967, skolem311(_u12971, _u12969, _u12967, _u12965)), _u12971)) )).
% 19.53/19.78 cnf(matrix-5957, plain, ( ~hBOOL(hAPP(hAPP(_u12966, _u12970), _u12951)) | ~hBOOL(hAPP(hAPP(_u12968, _u12951), _u12972)) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12960, _u12962, _u12964, _u12966, _u12968), _u12970), _u12972)) )).
% 19.53/19.78 cnf(matrix-5958, plain, ( ~c_Wellfounded_Owf(_u12973, _u12974) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12973, _u12973), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12973, _u12973, _u12973), _u12974), _u12975)), _u12974)) | c_FunDef_Oreduction__pair(_u12973, hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(_u12973, _u12973), tc_HOL_Obool), tc_fun(tc_prod(_u12973, _u12973), tc_HOL_Obool)), _u12974), _u12975)) )).
% 19.53/19.78 cnf(matrix-5959, plain, ( ( hAPP(c_Relation_ODomain(_u12976, _u12977), hAPP(c_Set_OCollect(tc_prod(_u12976, _u12977)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12976, _u12977, tc_HOL_Obool), _u12978))) = hAPP(c_Set_OCollect(_u12976), hAPP(hAPP(c_COMBB(tc_fun(_u12977, tc_HOL_Obool), tc_HOL_Obool, _u12976), c_HOL_OEx(_u12977)), _u12978))) )).
% 19.53/19.78 cnf(matrix-5960, plain, ( ( c_HOL_OThe(_u12979, hAPP(c_fequal, _u12980)) = _u12980) )).
% 19.53/19.78 cnf(matrix-5961, plain, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 19.53/19.78 cnf(matrix-5962, plain, ( c_Wellfounded_Owf(_u12981, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12981, _u12981), tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5963, plain, ( ~c_Wellfounded_Owf(_u12982, _u12983) | c_Wellfounded_Owf(_u12984, hAPP(hAPP(c_Relation_Oinv__image(_u12982, _u12984), _u12983), _u12985)) )).
% 19.53/19.78 cnf(matrix-5964, plain, ( ~c_Wellfounded_Owf(_u12986, _u12987) | ~c_Wellfounded_Owf(_u12988, _u12989) | c_Wellfounded_Owf(tc_prod(_u12986, _u12988), c_Wellfounded_Olex__prod(_u12986, _u12988, _u12987, _u12989)) )).
% 19.53/19.78 cnf(matrix-5965, plain, ( c_Wellfounded_Owf(_u12990, hAPP(c_Wellfounded_Omeasure(_u12990), _u12991)) )).
% 19.53/19.78 cnf(matrix-5966, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12992, _u12993)), hAPP(hAPP(c_Product__Type_OPair(_u12992, _u12993), _u12994), _u12995)), _u12996)) | hBOOL(hAPP(hAPP(c_member(_u12992), _u12994), hAPP(c_Relation_ODomain(_u12992, _u12993), _u12996))) )).
% 19.53/19.78 cnf(matrix-5967, plain, ( ~c_Wellfounded_Owf(_u12999, _u13001) | c_Wellfounded_Owf(_u12999, hAPP(hAPP(c_Relation_Orel__comp(_u12999, _u12999, _u12999), _u13001), _u13001)) )).
% 19.53/19.78 cnf(matrix-5968, plain, ( ~c_Wellfounded_Owf(_u13000, hAPP(hAPP(c_Relation_Orel__comp(_u13000, _u13000, _u13000), _u13002), _u13002)) | c_Wellfounded_Owf(_u13000, _u13002) )).
% 19.53/19.78 cnf(matrix-5969, plain, ( ~c_Wellfounded_Owf(_u13003, _u13004) | c_Wellfounded_Owf(tc_fun(_u13003, tc_HOL_Obool), c_Wellfounded_Omin__ext(_u13003, _u13004)) )).
% 19.53/19.78 cnf(matrix-5970, plain, ( ~c_Wellfounded_Owf(_u13005, _u13006) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13005, _u13005), tc_HOL_Obool)), _u13007), _u13006)) | c_Wellfounded_Owf(_u13005, _u13007) )).
% 19.53/19.78 cnf(matrix-5971, plain, ( ~c_Wellfounded_Owf(_u13008, _u13009) | c_Wellfounded_Owf(_u13008, c_Wellfounded_Omlex__prod(_u13008, _u13010, _u13009)) )).
% 19.53/19.78 cnf(matrix-5972, plain, ( c_Wellfounded_Owf(tc_fun(_u13011, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u13011)) )).
% 19.53/19.78 cnf(matrix-5973, plain, ( ~c_Wellfounded_Owf(_u13012, _u13013) | c_Wellfounded_Owf(_u13012, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13012, _u13012), tc_HOL_Obool)), _u13013), _u13014)) )).
% 19.53/19.78 cnf(matrix-5974, plain, ( ~c_Wellfounded_Owf(_u13015, _u13016) | c_Wellfounded_Owf(_u13015, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13015, _u13015), tc_HOL_Obool)), _u13017), _u13016)) )).
% 19.53/19.78 cnf(matrix-5975, plain, ( ( hAPP(c_Relation_ODomain(_u13018, _u13018), c_Relation_OId__on(_u13018, _u13019)) = _u13019) )).
% 19.53/19.78 cnf(matrix-5976, plain, ( c_Wellfounded_Owf(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less) )).
% 19.53/19.78 cnf(matrix-5977, plain, ( ~c_Wellfounded_Owf(_u13020, _u13021) | c_Wellfounded_Owf(tc_fun(_u13020, tc_HOL_Obool), c_Wellfounded_Omax__ext(_u13020, _u13021)) )).
% 19.53/19.78 cnf(matrix-5978, plain, ( c_Wellfounded_Owf(tc_Nat_Onat, hAPP(c_Set_OCollect(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)))) )).
% 19.53/19.78 cnf(matrix-5979, plain, ( ~c_Wellfounded_Owf(_u13022, _u13023) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13022, _u13022)), hAPP(hAPP(c_Product__Type_OPair(_u13022, _u13022), _u13024), _u13024)), _u13023)) )).
% 19.53/19.78 cnf(matrix-5980, plain, ( ~c_Wellfounded_Owf(_u13025, _u13026) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13025, _u13025)), hAPP(hAPP(c_Product__Type_OPair(_u13025, _u13025), _u13027), _u13028)), _u13026)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13025, _u13025)), hAPP(hAPP(c_Product__Type_OPair(_u13025, _u13025), _u13028), _u13027)), _u13026)) )).
% 19.53/19.78 cnf(matrix-5981, plain, ( ~c_Wellfounded_Owf(_u13029, _u13030) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13029, _u13029)), hAPP(hAPP(c_Product__Type_OPair(_u13029, _u13029), _u13031), _u13032)), _u13030)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13029, _u13029)), hAPP(hAPP(c_Product__Type_OPair(_u13029, _u13029), _u13032), _u13031)), _u13030)) )).
% 19.53/19.78 cnf(matrix-5982, plain, ( ~c_Wellfounded_Owf(_u13033, _u13034) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13033, _u13033)), hAPP(hAPP(c_Product__Type_OPair(_u13033, _u13033), _u13035), _u13035)), _u13034)) )).
% 19.53/19.78 cnf(matrix-5983, plain, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than(_u13036)) )).
% 19.53/19.78 cnf(matrix-5984, plain, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than2(_u13037)) )).
% 19.53/19.78 cnf(matrix-5985, plain, ( ~c_Wellfounded_Owf(_u13038, _u13039) | ~c_Wellfounded_Owf(_u13038, _u13040) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13038, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13038, _u13038), _u13039)), hAPP(c_Relation_ORange(_u13038, _u13038), _u13040)) != c_Orderings_Obot__class_Obot(tc_fun(_u13038, tc_HOL_Obool))) | c_Wellfounded_Owf(_u13038, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13038, _u13038), tc_HOL_Obool)), _u13039), _u13040)) )).
% 19.53/19.78 cnf(matrix-5986, plain, ( ~c_Wellfounded_Owf(_u13045, _u13047) | hBOOL(hAPP(hAPP(c_member(_u13045), _u13041), c_Wellfounded_Oacc(_u13045, _u13047))) )).
% 19.53/19.78 cnf(matrix-5987, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13046), skolem312(_u13048, _u13046)), c_Wellfounded_Oacc(_u13046, _u13048))) | c_Wellfounded_Owf(_u13046, _u13048) )).
% 19.53/19.78 cnf(matrix-5988, plain, ( ~c_Wellfounded_Owf(_u13049, _u13050) | hBOOL(hAPP(hAPP(c_member(_u13049), _u13051), c_Wellfounded_Oacc(_u13049, _u13050))) )).
% 19.53/19.78 cnf(matrix-5989, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13052, _u13052, _u13052), _u13053), _u13053) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13052, _u13052), tc_HOL_Obool))) | c_Wellfounded_Owf(_u13052, _u13053) )).
% 19.53/19.78 cnf(matrix-5990, plain, ( ~c_Wellfounded_Owf(_u13057, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13057, _u13057), tc_HOL_Obool)), _u13059), _u13061)) | c_Wellfounded_Owf(_u13057, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13057, _u13057), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13057, _u13057), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13057, _u13057, _u13057), _u13059), _u13059)), hAPP(hAPP(c_Relation_Orel__comp(_u13057, _u13057, _u13057), _u13061), _u13059))), _u13061)) )).
% 19.53/19.78 cnf(matrix-5991, plain, ( ~c_Wellfounded_Owf(_u13058, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13058, _u13058), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13058, _u13058), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13058, _u13058, _u13058), _u13060), _u13060)), hAPP(hAPP(c_Relation_Orel__comp(_u13058, _u13058, _u13058), _u13062), _u13060))), _u13062)) | c_Wellfounded_Owf(_u13058, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13058, _u13058), tc_HOL_Obool)), _u13060), _u13062)) )).
% 19.53/19.78 cnf(matrix-5992, plain, ( ( hAPP(c_Relation_ODomain(_u13066, _u13068), _u13070) != c_Orderings_Obot__class_Obot(tc_fun(_u13066, tc_HOL_Obool))) | ( _u13070 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13066, _u13068), tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5993, plain, ( ( _u13071 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13067, _u13069), tc_HOL_Obool))) | ( hAPP(c_Relation_ODomain(_u13067, _u13069), _u13071) = c_Orderings_Obot__class_Obot(tc_fun(_u13067, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5994, plain, ( ( hAPP(c_Relation_ODomain(_u13072, _u13073), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13072, _u13073), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u13072, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-5995, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13074, _u13075), tc_HOL_Obool)), _u13076), _u13077)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13074, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13074, _u13075), _u13076)), hAPP(c_Relation_ODomain(_u13074, _u13075), _u13077))) )).
% 19.53/19.78 cnf(matrix-5996, plain, ( ( hAPP(c_Relation_ODomain(_u13078, _u13079), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13078, _u13079), tc_HOL_Obool)), _u13080), _u13081)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13078, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13078, _u13079), _u13080)), hAPP(c_Relation_ODomain(_u13078, _u13079), _u13081))) )).
% 19.53/19.78 cnf(matrix-5997, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13082, _u13083)), _u13084)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13082), hAPP(c_Relation_ODomain(_u13082, _u13083), _u13084))) )).
% 19.53/19.78 cnf(matrix-5998, plain, ( ( hAPP(c_Set_Oimage(tc_prod(_u13085, _u13086), _u13085, c_Product__Type_Ofst(_u13085, _u13086)), _u13087) = hAPP(c_Relation_ODomain(_u13085, _u13086), _u13087)) )).
% 19.53/19.78 cnf(matrix-5999, plain, ( ~c_Wellfounded_Owf(_u13094, _u13096) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13094, _u13094)), hAPP(hAPP(c_Product__Type_OPair(_u13094, _u13094), hAPP(_u13089, hAPP(c_Nat_OSuc, skolem313(_u13096, _u13094, _u13089)))), hAPP(_u13089, skolem313(_u13096, _u13094, _u13089)))), _u13096)) )).
% 19.53/19.78 cnf(matrix-6000, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13095, _u13095)), hAPP(hAPP(c_Product__Type_OPair(_u13095, _u13095), hAPP(skolem314(_u13097, _u13095), hAPP(c_Nat_OSuc, _u13090))), hAPP(skolem314(_u13097, _u13095), _u13090))), _u13097)) | c_Wellfounded_Owf(_u13095, _u13097) )).
% 19.53/19.78 cnf(matrix-6001, plain, ( ~c_Wellfounded_Owf(_u13098, _u13099) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13098, tc_HOL_Obool)), _u13100), hAPP(c_Relation_OImage(_u13098, _u13098, _u13099), _u13100))) | ( _u13100 = c_Orderings_Obot__class_Obot(tc_fun(_u13098, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-6002, plain, ( ~c_Wellfounded_Owf(_u13101, _u13102) | ~c_Wellfounded_Owf(_u13101, _u13103) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13101, _u13101), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13101, _u13101, _u13101), _u13102), _u13103)), _u13102)) | c_Wellfounded_Owf(_u13101, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13101, _u13101), tc_HOL_Obool)), _u13102), _u13103)) )).
% 19.53/19.78 cnf(matrix-6003, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13110), _u13112), hAPP(c_Relation_ODomain(_u13110, _u13114), _u13116))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13110, _u13114)), hAPP(hAPP(c_Product__Type_OPair(_u13110, _u13114), _u13112), skolem315(_u13116, _u13114, _u13112, _u13110))), _u13116)) )).
% 19.53/19.78 cnf(matrix-6004, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13111, _u13115)), hAPP(hAPP(c_Product__Type_OPair(_u13111, _u13115), _u13113), _u13105)), _u13117)) | hBOOL(hAPP(hAPP(c_member(_u13111), _u13113), hAPP(c_Relation_ODomain(_u13111, _u13115), _u13117))) )).
% 19.53/19.78 cnf(matrix-6005, plain, ( ~class_Orderings_Owellorder(_u13118) | c_Wellfounded_Owf(_u13118, hAPP(c_Set_OCollect(tc_prod(_u13118, _u13118)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13118, _u13118, tc_HOL_Obool), c_Orderings_Oord__class_Oless(_u13118)))) )).
% 19.53/19.78 cnf(matrix-6006, plain, ( ( hAPP(c_Relation_ODomain(_u13119, _u13120), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13119, _u13120)), hAPP(hAPP(c_Product__Type_OPair(_u13119, _u13120), _u13121), _u13122)), _u13123)) = hAPP(hAPP(c_Set_Oinsert(_u13119), _u13121), hAPP(c_Relation_ODomain(_u13119, _u13120), _u13123))) )).
% 19.53/19.78 cnf(matrix-6007, plain, ( ~c_FunDef_Oreduction__pair(_u13126, _u13128) | c_Wellfounded_Owf(_u13126, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13126, _u13126), tc_HOL_Obool), tc_fun(tc_prod(_u13126, _u13126), tc_HOL_Obool)), _u13128)) )).
% 19.53/19.78 cnf(matrix-6008, plain, ( ~c_FunDef_Oreduction__pair(_u13126, _u13128) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13126, _u13126), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13126, _u13126, _u13126), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13126, _u13126), tc_HOL_Obool), tc_fun(tc_prod(_u13126, _u13126), tc_HOL_Obool)), _u13128)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u13126, _u13126), tc_HOL_Obool), tc_fun(tc_prod(_u13126, _u13126), tc_HOL_Obool)), _u13128))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13126, _u13126), tc_HOL_Obool), tc_fun(tc_prod(_u13126, _u13126), tc_HOL_Obool)), _u13128))) )).
% 19.53/19.78 cnf(matrix-6009, plain, ( ~c_Wellfounded_Owf(_u13127, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13127, _u13127), tc_HOL_Obool), tc_fun(tc_prod(_u13127, _u13127), tc_HOL_Obool)), _u13129)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13127, _u13127), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13127, _u13127, _u13127), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13127, _u13127), tc_HOL_Obool), tc_fun(tc_prod(_u13127, _u13127), tc_HOL_Obool)), _u13129)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u13127, _u13127), tc_HOL_Obool), tc_fun(tc_prod(_u13127, _u13127), tc_HOL_Obool)), _u13129))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13127, _u13127), tc_HOL_Obool), tc_fun(tc_prod(_u13127, _u13127), tc_HOL_Obool)), _u13129))) | c_FunDef_Oreduction__pair(_u13127, _u13129) )).
% 19.53/19.78 cnf(matrix-6010, plain, ( ~c_FunDef_Oreduction__pair(_u13130, _u13131) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13130, _u13130), tc_HOL_Obool)), _u13132), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u13130, _u13130), tc_HOL_Obool), tc_fun(tc_prod(_u13130, _u13130), tc_HOL_Obool)), _u13131))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13130, _u13130), tc_HOL_Obool)), _u13133), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u13130, _u13130), tc_HOL_Obool), tc_fun(tc_prod(_u13130, _u13130), tc_HOL_Obool)), _u13131))) | ~c_Wellfounded_Owf(_u13130, _u13133) | c_Wellfounded_Owf(_u13130, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13130, _u13130), tc_HOL_Obool)), _u13132), _u13133)) )).
% 19.53/19.78 cnf(matrix-6011, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13134, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13134, _u13135), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13134, _u13135), tc_HOL_Obool)), _u13136), _u13137))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13134, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13134, _u13135), _u13136)), hAPP(c_Relation_ODomain(_u13134, _u13135), _u13137)))) )).
% 19.53/19.78 cnf(matrix-6012, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13138, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13138, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13138, _u13139), _u13140)), hAPP(c_Relation_ODomain(_u13138, _u13139), _u13141))), hAPP(c_Relation_ODomain(_u13138, _u13139), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13138, _u13139), tc_HOL_Obool)), _u13140), _u13141)))) )).
% 19.53/19.78 cnf(matrix-6013, plain, ( ( hAPP(c_Relation_OField(_u13142), _u13143) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13142, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u13142, _u13142), _u13143)), hAPP(c_Relation_ORange(_u13142, _u13142), _u13143))) )).
% 19.53/19.78 cnf(matrix-6014, plain, ( ~c_Wellfounded_Owf(_u13144, _u13145) | ~c_Fun_Oinj__on(_u13144, _u13146, _u13147, c_Orderings_Otop__class_Otop(tc_fun(_u13144, tc_HOL_Obool))) | c_Wellfounded_Owf(_u13146, hAPP(c_Set_Oimage(tc_prod(_u13144, _u13144), tc_prod(_u13146, _u13146), c_Product__Type_Omap__pair(_u13144, _u13146, _u13144, _u13146, _u13147, _u13147)), _u13145)) )).
% 19.53/19.78 cnf(matrix-6015, plain, ( ( hAPP(c_Relation_ODomain(_u13148, _u13149), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u13148, _u13149), tc_HOL_Obool), _u13150)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u13148, _u13149), tc_HOL_Obool), tc_fun(_u13148, tc_HOL_Obool)), _u13150), c_Relation_ODomain(_u13148, _u13149))) )).
% 19.53/19.78 cnf(matrix-6016, plain, ( ( c_HOL_OThe(_u13151, hAPP(hAPP(c_COMBC(_u13151, _u13151, tc_HOL_Obool), c_fequal), _u13152)) = _u13152) )).
% 19.53/19.78 cnf(matrix-6017, plain, ( ~hBOOL(hAPP(c_Predicate_ODomainP(_u13157, _u13159, hAPP(hAPP(c_COMBC(_u13157, tc_fun(tc_prod(_u13157, _u13159), tc_HOL_Obool), tc_fun(_u13159, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13159, tc_fun(tc_fun(tc_prod(_u13157, _u13159), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13157, _u13159), tc_HOL_Obool), tc_fun(_u13159, tc_HOL_Obool)), _u13157), c_COMBC(_u13159, tc_fun(tc_prod(_u13157, _u13159), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13159, tc_prod(_u13157, _u13159)), tc_fun(_u13159, tc_fun(tc_fun(tc_prod(_u13157, _u13159), tc_HOL_Obool), tc_HOL_Obool)), _u13157), hAPP(c_COMBB(tc_prod(_u13157, _u13159), tc_fun(tc_fun(tc_prod(_u13157, _u13159), tc_HOL_Obool), tc_HOL_Obool), _u13159), c_member(tc_prod(_u13157, _u13159)))), c_Product__Type_OPair(_u13157, _u13159)))), _u13161)), _u13163)) | hBOOL(hAPP(hAPP(c_member(_u13157), _u13163), hAPP(c_Relation_ODomain(_u13157, _u13159), _u13161))) )).
% 19.53/19.78 cnf(matrix-6018, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13158), _u13164), hAPP(c_Relation_ODomain(_u13158, _u13160), _u13162))) | hBOOL(hAPP(c_Predicate_ODomainP(_u13158, _u13160, hAPP(hAPP(c_COMBC(_u13158, tc_fun(tc_prod(_u13158, _u13160), tc_HOL_Obool), tc_fun(_u13160, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13160, tc_fun(tc_fun(tc_prod(_u13158, _u13160), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13158, _u13160), tc_HOL_Obool), tc_fun(_u13160, tc_HOL_Obool)), _u13158), c_COMBC(_u13160, tc_fun(tc_prod(_u13158, _u13160), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13160, tc_prod(_u13158, _u13160)), tc_fun(_u13160, tc_fun(tc_fun(tc_prod(_u13158, _u13160), tc_HOL_Obool), tc_HOL_Obool)), _u13158), hAPP(c_COMBB(tc_prod(_u13158, _u13160), tc_fun(tc_fun(tc_prod(_u13158, _u13160), tc_HOL_Obool), tc_HOL_Obool), _u13160), c_member(tc_prod(_u13158, _u13160)))), c_Product__Type_OPair(_u13158, _u13160)))), _u13162)), _u13164)) )).
% 19.53/19.78 cnf(matrix-6019, plain, ( ~c_Wellfounded_Owf(_u13165, _u13166) | c_Wellfounded_Owf(tc_List_Olist(_u13165), c_List_Olenlex(_u13165, _u13166)) )).
% 19.53/19.78 cnf(matrix-6020, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13168), _u13169), hAPP(c_Relation_ODomain(_u13168, _u13170), _u13171))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13168, _u13170)), hAPP(hAPP(c_Product__Type_OPair(_u13168, _u13170), _u13169), skolem316(_u13171, _u13170, _u13169, _u13168))), _u13171)) )).
% 19.53/19.78 cnf(matrix-6021, plain, ( ~hBOOL(hAPP(hAPP(_u13172, _u13173), _u13174)) | hBOOL(hAPP(c_Predicate_ODomainP(_u13175, _u13176, _u13172), _u13173)) )).
% 19.53/19.78 cnf(matrix-6022, plain, ( hBOOL(hAPP(hAPP(_u13187, _u13189), skolem317(_u13189, _u13187))) | ~hBOOL(hAPP(c_Predicate_ODomainP(_u13183, _u13185, _u13187), _u13189)) )).
% 19.53/19.78 cnf(matrix-6023, plain, ( ~hBOOL(hAPP(hAPP(_u13188, _u13190), _u13178)) | hBOOL(hAPP(c_Predicate_ODomainP(_u13184, _u13186, _u13188), _u13190)) )).
% 19.53/19.78 cnf(matrix-6024, plain, ( ( c_Wellfounded_Opred__nat = hAPP(c_Set_OCollect(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_fequal)), c_Nat_OSuc)))) )).
% 19.53/19.78 cnf(matrix-6025, plain, ( ~c_Wellfounded_Owf(_u13191, _u13192) | c_Wellfounded_Owf(tc_List_Olist(_u13191), c_List_Olex(_u13191, _u13192)) )).
% 19.53/19.78 cnf(matrix-6026, plain, ( ~c_Wellfounded_Owf(_u13193, _u13194) | c_Wellfounded_Owf(tc_List_Olist(_u13193), hAPP(c_List_Olexn(_u13193, _u13194), _u13195)) )).
% 19.53/19.78 cnf(matrix-6027, plain, ( ( c_List_Olex(_u13196, _u13197) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(tc_List_Olist(_u13196), tc_List_Olist(_u13196)), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_List_Olexn(_u13196, _u13197))) )).
% 19.53/19.78 cnf(matrix-6028, plain, ( ( hAPP(c_List_Olexn(_u13198, _u13199), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(_u13198), tc_List_Olist(_u13198)), tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-6029, plain, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Opred__nat) )).
% 19.53/19.78 cnf(matrix-6030, plain, ( c_Wellfounded_Owf(tc_prod(_u13204, _u13202), c_Recdef_Osame__fst(_u13204, _u13202, _u13201, _u13203)) | hBOOL(hAPP(_u13201, skolem318(_u13204, _u13203, _u13202, _u13201))) )).
% 19.53/19.78 cnf(matrix-6031, plain, ( c_Wellfounded_Owf(tc_prod(_u13204, _u13202), c_Recdef_Osame__fst(_u13204, _u13202, _u13201, _u13203)) | ~c_Wellfounded_Owf(_u13202, hAPP(_u13203, skolem318(_u13204, _u13203, _u13202, _u13201))) )).
% 19.53/19.78 cnf(matrix-6032, plain, ( c_Wellfounded_Owf(_u13209, hAPP(c_Set_OCollect(tc_prod(_u13209, _u13209)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13209, _u13209, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13209, tc_HOL_Obool), tc_fun(_u13209, tc_HOL_Obool), _u13209), hAPP(c_COMBS(_u13209, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13209), c_fconj), _u13206))), hAPP(hAPP(c_COMBC(_u13209, tc_fun(_u13209, _u13209), tc_fun(_u13209, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13209, tc_HOL_Obool), tc_fun(tc_fun(_u13209, _u13209), tc_fun(_u13209, tc_HOL_Obool)), _u13209), c_COMBB(_u13209, tc_HOL_Obool, _u13209)), c_fequal)), _u13208))))) | hBOOL(hAPP(_u13206, skolem319(_u13209, _u13208, _u13207, _u13206))) )).
% 19.53/19.78 cnf(matrix-6033, plain, ( c_Wellfounded_Owf(_u13209, hAPP(c_Set_OCollect(tc_prod(_u13209, _u13209)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13209, _u13209, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13209, tc_HOL_Obool), tc_fun(_u13209, tc_HOL_Obool), _u13209), hAPP(c_COMBS(_u13209, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13209), c_fconj), _u13206))), hAPP(hAPP(c_COMBC(_u13209, tc_fun(_u13209, _u13209), tc_fun(_u13209, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13209, tc_HOL_Obool), tc_fun(tc_fun(_u13209, _u13209), tc_fun(_u13209, tc_HOL_Obool)), _u13209), c_COMBB(_u13209, tc_HOL_Obool, _u13209)), c_fequal)), _u13208))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u13207, hAPP(_u13208, skolem319(_u13209, _u13208, _u13207, _u13206)))), hAPP(_u13207, skolem319(_u13209, _u13208, _u13207, _u13206)))) )).
% 19.53/19.78 cnf(matrix-6034, plain, ( ~c_Wellfounded_OwfP(_u13212, _u13214) | c_Wellfounded_Owf(_u13212, hAPP(c_Set_OCollect(tc_prod(_u13212, _u13212)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13212, _u13212, tc_HOL_Obool), _u13214))) )).
% 19.53/19.78 cnf(matrix-6035, plain, ( ~c_Wellfounded_Owf(_u13213, hAPP(c_Set_OCollect(tc_prod(_u13213, _u13213)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13213, _u13213, tc_HOL_Obool), _u13215))) | c_Wellfounded_OwfP(_u13213, _u13215) )).
% 19.53/19.78 cnf(matrix-6036, plain, ( c_Wellfounded_OwfP(_u13216, hAPP(c_COMBK(tc_fun(_u13216, tc_HOL_Obool), _u13216), hAPP(c_COMBK(tc_HOL_Obool, _u13216), c_fFalse))) )).
% 19.53/19.78 cnf(matrix-6037, plain, ( ~c_Wellfounded_OwfP(_u13221, _u13223) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u13221, _u13223), _u13217)) )).
% 19.53/19.78 cnf(matrix-6038, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u13222, _u13224), skolem320(_u13224, _u13222))) | c_Wellfounded_OwfP(_u13222, _u13224) )).
% 19.53/19.78 cnf(matrix-6039, plain, ( ~c_Wellfounded_OwfP(_u13225, _u13226) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u13225, _u13226), _u13227)) )).
% 19.53/19.78 cnf(matrix-6040, plain, ( ~c_Wellfounded_OwfP(_u13228, _u13229) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13228, tc_fun(_u13228, tc_HOL_Obool))), _u13230), _u13229)) | c_Wellfounded_OwfP(_u13228, _u13230) )).
% 19.53/19.78 cnf(matrix-6041, plain, ( ~c_Wellfounded_Owf(_u13231, _u13232) | c_Wellfounded_OwfP(_u13231, c_FunDef_Oin__rel(_u13231, _u13231, _u13232)) )).
% 19.53/19.78 cnf(matrix-6042, plain, ( ~c_Wellfounded_OwfP(_u13235, hAPP(hAPP(c_COMBC(_u13235, tc_fun(tc_prod(_u13235, _u13235), tc_HOL_Obool), tc_fun(_u13235, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13235, tc_fun(tc_fun(tc_prod(_u13235, _u13235), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13235, _u13235), tc_HOL_Obool), tc_fun(_u13235, tc_HOL_Obool)), _u13235), c_COMBC(_u13235, tc_fun(tc_prod(_u13235, _u13235), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13235, tc_prod(_u13235, _u13235)), tc_fun(_u13235, tc_fun(tc_fun(tc_prod(_u13235, _u13235), tc_HOL_Obool), tc_HOL_Obool)), _u13235), hAPP(c_COMBB(tc_prod(_u13235, _u13235), tc_fun(tc_fun(tc_prod(_u13235, _u13235), tc_HOL_Obool), tc_HOL_Obool), _u13235), c_member(tc_prod(_u13235, _u13235)))), c_Product__Type_OPair(_u13235, _u13235)))), _u13237)) | c_Wellfounded_Owf(_u13235, _u13237) )).
% 19.53/19.78 cnf(matrix-6043, plain, ( ~c_Wellfounded_Owf(_u13236, _u13238) | c_Wellfounded_OwfP(_u13236, hAPP(hAPP(c_COMBC(_u13236, tc_fun(tc_prod(_u13236, _u13236), tc_HOL_Obool), tc_fun(_u13236, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13236, tc_fun(tc_fun(tc_prod(_u13236, _u13236), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13236, _u13236), tc_HOL_Obool), tc_fun(_u13236, tc_HOL_Obool)), _u13236), c_COMBC(_u13236, tc_fun(tc_prod(_u13236, _u13236), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13236, tc_prod(_u13236, _u13236)), tc_fun(_u13236, tc_fun(tc_fun(tc_prod(_u13236, _u13236), tc_HOL_Obool), tc_HOL_Obool)), _u13236), hAPP(c_COMBB(tc_prod(_u13236, _u13236), tc_fun(tc_fun(tc_prod(_u13236, _u13236), tc_HOL_Obool), tc_HOL_Obool), _u13236), c_member(tc_prod(_u13236, _u13236)))), c_Product__Type_OPair(_u13236, _u13236)))), _u13238)) )).
% 19.53/19.78 cnf(matrix-6044, plain, ( ~c_Wellfounded_OwfP(_u13239, _u13240) | c_Wellfounded_Oacyclic(_u13239, hAPP(c_Set_OCollect(tc_prod(_u13239, _u13239)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13239, _u13239, tc_HOL_Obool), _u13240))) )).
% 19.53/19.78 cnf(matrix-6045, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u13242), _u13243)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13244), hAPP(c_Set_Oimage(_u13242, _u13244, _u13245), _u13243))) | hBOOL(hAPP(hAPP(c_member(_u13242), skolem321(_u13245, _u13244, _u13243, _u13242)), _u13243)) )).
% 19.53/19.78 cnf(matrix-6046, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u13242), _u13243)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13244), hAPP(c_Set_Oimage(_u13242, _u13244, _u13245), _u13243))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13242), hAPP(c_Set_OCollect(_u13242), hAPP(hAPP(c_COMBS(_u13242, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13242), c_fconj), hAPP(hAPP(c_COMBC(_u13242, tc_fun(_u13242, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13242)), _u13243))), hAPP(hAPP(c_COMBC(_u13242, _u13244, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u13244, tc_fun(_u13244, tc_HOL_Obool), _u13242), c_fequal), _u13245)), hAPP(_u13245, skolem321(_u13245, _u13244, _u13243, _u13242))))))) )).
% 19.53/19.78 cnf(matrix-6047, plain, ( ~c_Relation_Orefl__on(_u13253, _u13255, _u13257) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13253, _u13253)), _u13246), _u13257)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13253, _u13253, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13253, tc_fun(_u13253, tc_HOL_Obool), tc_fun(_u13253, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13253, tc_HOL_Obool), tc_fun(_u13253, tc_HOL_Obool)), _u13253), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13253)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13253), c_fconj), hAPP(hAPP(c_COMBC(_u13253, tc_fun(_u13253, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13253)), _u13255)))), hAPP(hAPP(c_COMBC(_u13253, tc_fun(_u13253, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13253)), _u13255))), _u13246)) )).
% 19.53/19.78 cnf(matrix-6048, plain, ( ~c_Relation_Orefl__on(_u13253, _u13255, _u13257) | ~hBOOL(hAPP(hAPP(c_member(_u13253), _u13247), _u13255)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13253, _u13253)), hAPP(hAPP(c_Product__Type_OPair(_u13253, _u13253), _u13247), _u13247)), _u13257)) )).
% 19.53/19.78 cnf(matrix-6049, plain, ( c_Relation_Orefl__on(_u13254, _u13256, _u13258) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13254, _u13254)), skolem322(_u13258, _u13256, _u13254)), _u13258)) | hBOOL(hAPP(hAPP(c_member(_u13254), skolem323(_u13258, _u13256, _u13254)), _u13256)) )).
% 19.53/19.78 cnf(matrix-6050, plain, ( c_Relation_Orefl__on(_u13254, _u13256, _u13258) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13254, _u13254)), skolem322(_u13258, _u13256, _u13254)), _u13258)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13254, _u13254)), hAPP(hAPP(c_Product__Type_OPair(_u13254, _u13254), skolem323(_u13258, _u13256, _u13254)), skolem323(_u13258, _u13256, _u13254))), _u13258)) )).
% 19.53/19.78 cnf(matrix-6051, plain, ( c_Relation_Orefl__on(_u13254, _u13256, _u13258) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13254, _u13254, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13254, tc_fun(_u13254, tc_HOL_Obool), tc_fun(_u13254, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13254, tc_HOL_Obool), tc_fun(_u13254, tc_HOL_Obool)), _u13254), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13254)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13254), c_fconj), hAPP(hAPP(c_COMBC(_u13254, tc_fun(_u13254, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13254)), _u13256)))), hAPP(hAPP(c_COMBC(_u13254, tc_fun(_u13254, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13254)), _u13256))), skolem322(_u13258, _u13256, _u13254))) | hBOOL(hAPP(hAPP(c_member(_u13254), skolem323(_u13258, _u13256, _u13254)), _u13256)) )).
% 19.53/19.78 cnf(matrix-6052, plain, ( c_Relation_Orefl__on(_u13254, _u13256, _u13258) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13254, _u13254, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13254, tc_fun(_u13254, tc_HOL_Obool), tc_fun(_u13254, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13254, tc_HOL_Obool), tc_fun(_u13254, tc_HOL_Obool)), _u13254), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13254)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13254), c_fconj), hAPP(hAPP(c_COMBC(_u13254, tc_fun(_u13254, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13254)), _u13256)))), hAPP(hAPP(c_COMBC(_u13254, tc_fun(_u13254, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13254)), _u13256))), skolem322(_u13258, _u13256, _u13254))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13254, _u13254)), hAPP(hAPP(c_Product__Type_OPair(_u13254, _u13254), skolem323(_u13258, _u13256, _u13254)), skolem323(_u13258, _u13256, _u13254))), _u13258)) )).
% 19.53/19.78 cnf(matrix-6053, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13260), _u13259), c_Orderings_Obot__class_Obot(tc_fun(_u13260, tc_HOL_Obool)))) | hBOOL(hAPP(_u13261, _u13259)) )).
% 19.53/19.78 cnf(matrix-6054, plain, ( ~c_Wellfounded_Owf(_u13262, _u13263) | c_Wellfounded_Oacyclic(_u13262, _u13263) )).
% 19.53/19.78 cnf(matrix-6055, plain, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u13269, _u13271), _u13273)) | ~hBOOL(hAPP(hAPP(c_member(_u13269), _u13264), _u13273)) | hBOOL(hAPP(_u13271, _u13264)) )).
% 19.53/19.78 cnf(matrix-6056, plain, ( hBOOL(hAPP(c_Predicate_OPowp(_u13270, _u13272), _u13274)) | hBOOL(hAPP(hAPP(c_member(_u13270), skolem324(_u13274, _u13272, _u13270)), _u13274)) )).
% 19.53/19.78 cnf(matrix-6057, plain, ( hBOOL(hAPP(c_Predicate_OPowp(_u13270, _u13272), _u13274)) | ~hBOOL(hAPP(_u13272, skolem324(_u13274, _u13272, _u13270))) )).
% 19.53/19.78 cnf(matrix-6058, plain, ( ~c_Wellfounded_Oacyclic(_u13275, _u13276) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13275, _u13275), tc_HOL_Obool)), _u13277), _u13276)) | c_Wellfounded_Oacyclic(_u13275, _u13277) )).
% 19.53/19.78 cnf(matrix-6059, plain, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u13278, tc_HOL_Obool) = c_Set_OBall(_u13278)) )).
% 19.53/19.78 cnf(matrix-6060, plain, ( ( hAPP(c_Set_OCollect(_u13279), hAPP(hAPP(c_COMBB(tc_fun(_u13280, tc_HOL_Obool), tc_HOL_Obool, _u13279), c_HOL_OAll(_u13280)), hAPP(hAPP(c_COMBB(tc_fun(_u13280, tc_HOL_Obool), tc_fun(_u13280, tc_HOL_Obool), _u13279), hAPP(c_COMBS(_u13280, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13280), c_fimplies), hAPP(hAPP(c_COMBC(_u13280, tc_fun(_u13280, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13280)), _u13281)))), _u13282))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u13280, tc_fun(_u13279, tc_HOL_Obool)), _u13281), hAPP(hAPP(c_COMBB(tc_fun(_u13279, tc_HOL_Obool), tc_fun(_u13279, tc_HOL_Obool), _u13280), c_Set_OCollect(_u13279)), hAPP(c_COMBC(_u13279, _u13280, tc_HOL_Obool), _u13282)))) )).
% 19.53/19.78 cnf(matrix-6061, plain, ( ~c_Equiv__Relations_Ocongruent(_u13289, _u13291, _u13293, _u13295) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13289, _u13289)), _u13283), _u13293)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13289, _u13289, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13289, tc_fun(_u13289, _u13291), tc_fun(_u13289, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13291, tc_HOL_Obool), tc_fun(tc_fun(_u13289, _u13291), tc_fun(_u13289, tc_HOL_Obool)), _u13289), c_COMBB(_u13291, tc_HOL_Obool, _u13289)), hAPP(hAPP(c_COMBB(_u13291, tc_fun(_u13291, tc_HOL_Obool), _u13289), c_fequal), _u13295))), _u13295)), _u13283)) )).
% 19.53/19.78 cnf(matrix-6062, plain, ( c_Equiv__Relations_Ocongruent(_u13290, _u13292, _u13294, _u13296) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13290, _u13290)), skolem325(_u13296, _u13294, _u13292, _u13290)), _u13294)) )).
% 19.53/19.78 cnf(matrix-6063, plain, ( c_Equiv__Relations_Ocongruent(_u13290, _u13292, _u13294, _u13296) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13290, _u13290, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13290, tc_fun(_u13290, _u13292), tc_fun(_u13290, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13292, tc_HOL_Obool), tc_fun(tc_fun(_u13290, _u13292), tc_fun(_u13290, tc_HOL_Obool)), _u13290), c_COMBB(_u13292, tc_HOL_Obool, _u13290)), hAPP(hAPP(c_COMBB(_u13292, tc_fun(_u13292, tc_HOL_Obool), _u13290), c_fequal), _u13296))), _u13296)), skolem325(_u13296, _u13294, _u13292, _u13290))) )).
% 19.53/19.78 cnf(matrix-6064, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u13297, tc_fun(_u13298, tc_HOL_Obool)), _u13299), _u13300) = hAPP(c_Set_OCollect(_u13298), hAPP(hAPP(c_COMBB(tc_fun(_u13297, tc_HOL_Obool), tc_HOL_Obool, _u13298), c_HOL_OAll(_u13297)), hAPP(hAPP(c_COMBB(tc_fun(_u13297, tc_HOL_Obool), tc_fun(_u13297, tc_HOL_Obool), _u13298), hAPP(c_COMBS(_u13297, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13297), c_fimplies), hAPP(hAPP(c_COMBC(_u13297, tc_fun(_u13297, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13297)), _u13299)))), hAPP(hAPP(c_COMBC(_u13298, tc_fun(_u13297, tc_fun(_u13298, tc_HOL_Obool)), tc_fun(_u13297, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13298, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u13297, tc_fun(_u13298, tc_HOL_Obool)), tc_fun(_u13297, tc_HOL_Obool)), _u13298), c_COMBB(tc_fun(_u13298, tc_HOL_Obool), tc_HOL_Obool, _u13297)), c_member(_u13298))), _u13300))))) )).
% 19.53/19.78 cnf(matrix-6065, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13301, _u13301)), _u13302)) | ~c_Wellfounded_Oacyclic(_u13301, _u13302) | c_Wellfounded_Owf(_u13301, _u13302) )).
% 19.53/19.78 cnf(matrix-6066, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13303, _u13303)), _u13304)) | ~c_Wellfounded_Owf(_u13303, _u13304) | c_Wellfounded_Oacyclic(_u13303, _u13304) )).
% 19.53/19.78 cnf(matrix-6067, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13303, _u13303)), _u13304)) | ~c_Wellfounded_Oacyclic(_u13303, _u13304) | c_Wellfounded_Owf(_u13303, _u13304) )).
% 19.53/19.78 cnf(matrix-6068, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u13305) | ( c_Complete__Lattice_OSup__class_OSup(_u13305, _u13306) = c_Complete__Lattice_OInf__class_OInf(_u13305, hAPP(c_Set_OCollect(_u13305), hAPP(hAPP(c_COMBB(tc_fun(_u13305, tc_HOL_Obool), tc_HOL_Obool, _u13305), c_HOL_OAll(_u13305)), hAPP(hAPP(c_COMBB(tc_fun(_u13305, tc_HOL_Obool), tc_fun(_u13305, tc_HOL_Obool), _u13305), hAPP(c_COMBS(_u13305, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13305), c_fimplies), hAPP(hAPP(c_COMBC(_u13305, tc_fun(_u13305, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13305)), _u13306)))), hAPP(c_COMBC(_u13305, _u13305, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u13305))))))) )).
% 19.53/19.78 cnf(matrix-6069, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u13307) | ( c_Complete__Lattice_OInf__class_OInf(_u13307, _u13308) = c_Complete__Lattice_OSup__class_OSup(_u13307, hAPP(c_Set_OCollect(_u13307), hAPP(hAPP(c_COMBB(tc_fun(_u13307, tc_HOL_Obool), tc_HOL_Obool, _u13307), c_HOL_OAll(_u13307)), hAPP(hAPP(c_COMBB(tc_fun(_u13307, tc_HOL_Obool), tc_fun(_u13307, tc_HOL_Obool), _u13307), hAPP(c_COMBS(_u13307, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13307), c_fimplies), hAPP(hAPP(c_COMBC(_u13307, tc_fun(_u13307, tc_HOL_Obool), tc_HOL_Obool), c_member(_u13307)), _u13308)))), c_Orderings_Oord__class_Oless__eq(_u13307)))))) )).
% 19.53/19.78 cnf(matrix-6070, plain, ( ~c_Nitpick_Owf_H(_u13311, _u13313) | c_Wellfounded_Oacyclic(_u13311, _u13313) )).
% 19.53/19.78 cnf(matrix-6071, plain, ( ~c_Nitpick_Owf_H(_u13311, _u13313) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13311, _u13311)), _u13313)) | c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 19.53/19.78 cnf(matrix-6072, plain, ( c_Nitpick_Owf_H(_u13312, _u13314) | ~c_Wellfounded_Oacyclic(_u13312, _u13314) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13312, _u13312)), _u13314)) )).
% 19.53/19.78 cnf(matrix-6073, plain, ( c_Nitpick_Owf_H(_u13312, _u13314) | ~c_Wellfounded_Oacyclic(_u13312, _u13314) | ~c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 19.53/19.78 cnf(matrix-6074, plain, ( hBOOL(hAPP(_u13316, _u13317)) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem326(_u13317, _u13316)), c_Int_OInteg)) )).
% 19.53/19.78 cnf(matrix-6075, plain, ( hBOOL(hAPP(_u13316, _u13317)) | ~hBOOL(hAPP(_u13316, hAPP(c_Int_OAbs__Integ, skolem326(_u13317, _u13316)))) )).
% 19.53/19.78 cnf(matrix-6076, plain, ( ( _u13319 = hAPP(c_Int_OAbs__Integ, skolem327(_u13319))) )).
% 19.53/19.78 cnf(matrix-6077, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem327(_u13319)), c_Int_OInteg)) )).
% 19.53/19.78 cnf(matrix-6078, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u13320, tc_HOL_Obool), _u13321) = hAPP(c_Set_OCollect(_u13320), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13320, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u13320), c_HOL_OAll(tc_fun(_u13320, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u13320, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u13320, tc_HOL_Obool), tc_HOL_Obool), _u13320), hAPP(c_COMBS(tc_fun(_u13320, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u13320, tc_HOL_Obool)), c_fimplies), hAPP(hAPP(c_COMBC(tc_fun(_u13320, tc_HOL_Obool), tc_fun(tc_fun(_u13320, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u13320, tc_HOL_Obool))), _u13321)))), c_member(_u13320))))) )).
% 19.53/19.78 cnf(matrix-6079, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13323), _u13324)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13325), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13323, tc_fun(_u13325, tc_HOL_Obool)), _u13324), _u13326))) | hBOOL(hAPP(hAPP(c_member(_u13323), skolem328(_u13326, _u13325, _u13324, _u13323)), _u13324)) )).
% 19.53/19.78 cnf(matrix-6080, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13323), _u13324)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13325), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13323, tc_fun(_u13325, tc_HOL_Obool)), _u13324), _u13326))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13325), hAPP(_u13326, skolem328(_u13326, _u13325, _u13324, _u13323)))) )).
% 19.53/19.78 cnf(matrix-6081, plain, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Nat_Onat, hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)), _u13329), _u13328) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem329(_u13329, _u13328)), _u13328)) )).
% 19.53/19.78 cnf(matrix-6082, plain, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Nat_Onat, hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)), _u13329), _u13328) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u13329), skolem329(_u13329, _u13328))) )).
% 19.53/19.78 cnf(matrix-6083, plain, ( ~c_Wellfounded_OwfP(_u13333, hAPP(_u13334, skolem330(_u13335, _u13334, _u13333))) | c_Wellfounded_OwfP(_u13333, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13335, tc_fun(_u13333, tc_fun(_u13333, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u13335, tc_HOL_Obool))), _u13334)) | ( hAPP(_u13334, skolem331(_u13335, _u13334, _u13333)) != hAPP(_u13334, skolem332(_u13335, _u13334, _u13333))) )).
% 19.53/19.78 cnf(matrix-6084, plain, ( ~c_Wellfounded_OwfP(_u13333, hAPP(_u13334, skolem330(_u13335, _u13334, _u13333))) | c_Wellfounded_OwfP(_u13333, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13335, tc_fun(_u13333, tc_fun(_u13333, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u13335, tc_HOL_Obool))), _u13334)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13333, tc_HOL_Obool)), c_Predicate_ODomainP(_u13333, _u13333, hAPP(_u13334, skolem331(_u13335, _u13334, _u13333)))), c_Predicate_ORangeP(_u13333, _u13333, hAPP(_u13334, skolem332(_u13335, _u13334, _u13333)))) != c_Orderings_Obot__class_Obot(tc_fun(_u13333, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-6085, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13338), _u13339), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13340, _u13341, tc_fun(_u13338, tc_HOL_Obool)), _u13342), _u13343))) | ( _u13343 = hAPP(hAPP(c_Product__Type_OPair(_u13340, _u13341), skolem333(_u13343, _u13342, _u13341, _u13340, _u13339, _u13338)), skolem334(_u13343, _u13342, _u13341, _u13340, _u13339, _u13338))) )).
% 19.53/19.78 cnf(matrix-6086, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13338), _u13339), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13340, _u13341, tc_fun(_u13338, tc_HOL_Obool)), _u13342), _u13343))) | hBOOL(hAPP(hAPP(c_member(_u13338), _u13339), hAPP(hAPP(_u13342, skolem333(_u13343, _u13342, _u13341, _u13340, _u13339, _u13338)), skolem334(_u13343, _u13342, _u13341, _u13340, _u13339, _u13338)))) )).
% 19.53/19.78 cnf(matrix-6087, plain, ( hBOOL(hAPP(hAPP(c_member(_u13349), _u13350), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13347, _u13348, tc_fun(_u13349, tc_HOL_Obool)), _u13351), _u13346))) | ( _u13346 = hAPP(hAPP(c_Product__Type_OPair(_u13347, _u13348), skolem335(_u13351, _u13350, _u13349, _u13348, _u13347, _u13346)), skolem336(_u13351, _u13350, _u13349, _u13348, _u13347, _u13346))) )).
% 19.53/19.78 cnf(matrix-6088, plain, ( hBOOL(hAPP(hAPP(c_member(_u13349), _u13350), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13347, _u13348, tc_fun(_u13349, tc_HOL_Obool)), _u13351), _u13346))) | ~hBOOL(hAPP(hAPP(c_member(_u13349), _u13350), hAPP(hAPP(_u13351, skolem335(_u13351, _u13350, _u13349, _u13348, _u13347, _u13346)), skolem336(_u13351, _u13350, _u13349, _u13348, _u13347, _u13346)))) )).
% 19.53/19.78 cnf(matrix-6089, plain, ( ( hAPP(c_Set_Ovimage(_u13352, tc_prod(_u13353, _u13354), _u13355), hAPP(hAPP(c_Product__Type_OSigma(_u13353, _u13354), _u13356), hAPP(c_COMBK(tc_fun(_u13354, tc_HOL_Obool), _u13353), _u13357))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13352, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13352, _u13353, hAPP(c_Fun_Ocomp(tc_prod(_u13353, _u13354), _u13353, _u13352, c_Product__Type_Ofst(_u13353, _u13354)), _u13355)), _u13356)), hAPP(c_Set_Ovimage(_u13352, _u13354, hAPP(c_Fun_Ocomp(tc_prod(_u13353, _u13354), _u13354, _u13352, c_Product__Type_Osnd(_u13353, _u13354)), _u13355)), _u13357))) )).
% 19.53/19.78 cnf(matrix-6090, plain, ( ( hAPP(c_Fun_Ocomp(_u13358, _u13359, _u13358, _u13360), c_Fun_Oid(_u13358)) = _u13360) )).
% 19.53/19.78 cnf(matrix-6091, plain, ( ( hAPP(c_Fun_Ocomp(_u13361, _u13361, _u13362, c_Fun_Oid(_u13361)), _u13363) = _u13363) )).
% 19.53/19.78 cnf(matrix-6092, plain, ( ( hAPP(_u13367, hAPP(_u13368, _u13370)) = hAPP(_u13369, _u13370)) | ( hAPP(c_Fun_Ocomp(_u13364, _u13365, _u13366, _u13367), _u13368) != hAPP(c_Fun_Ocomp(_u13365, _u13365, _u13366, c_Fun_Oid(_u13365)), _u13369)) )).
% 19.53/19.78 cnf(matrix-6093, plain, ( ( hAPP(_u13375, hAPP(_u13376, _u13371)) = hAPP(_u13378, hAPP(_u13379, _u13371))) | ( hAPP(c_Fun_Ocomp(_u13372, _u13373, _u13374, _u13375), _u13376) != hAPP(c_Fun_Ocomp(_u13377, _u13373, _u13374, _u13378), _u13379)) )).
% 19.53/19.78 cnf(matrix-6094, plain, ( ( hAPP(_u13383, hAPP(_u13384, _u13388)) = hAPP(_u13386, hAPP(_u13387, _u13388))) | ( hAPP(c_Fun_Ocomp(_u13380, _u13381, _u13382, _u13383), _u13384) != hAPP(c_Fun_Ocomp(_u13385, _u13381, _u13382, _u13386), _u13387)) )).
% 19.53/19.78 cnf(matrix-6095, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(_u13389, _u13390, _u13391, _u13392), _u13393), _u13394) = hAPP(_u13392, hAPP(_u13393, _u13394))) )).
% 19.53/19.78 cnf(matrix-6096, plain, ( ( hAPP(c_Fun_Ocomp(_u13395, _u13396, _u13397, _u13398), hAPP(c_Fun_Ocomp(_u13399, _u13395, _u13397, _u13400), _u13401)) = hAPP(c_Fun_Ocomp(_u13399, _u13396, _u13397, hAPP(c_Fun_Ocomp(_u13395, _u13396, _u13399, _u13398), _u13400)), _u13401)) )).
% 19.53/19.78 cnf(matrix-6097, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(_u13402, _u13403, _u13404, _u13405), _u13406), _u13407) = hAPP(_u13405, hAPP(_u13406, _u13407))) )).
% 19.53/19.78 cnf(matrix-6098, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(_u13408, _u13409, _u13410, hAPP(c_COMBK(_u13409, _u13408), _u13411)), _u13412), _u13413) = _u13411) )).
% 19.53/19.78 cnf(matrix-6099, plain, ( ( hAPP(c_Fun_Ocomp(_u13415, _u13415, _u13415, hAPP(_u13416, _u13417)), hAPP(_u13416, _u13417)) = hAPP(_u13416, _u13417)) | ~c_Finite__Set_Ofun__left__comm__idem(_u13414, _u13415, _u13416) )).
% 19.53/19.78 cnf(matrix-6100, plain, ( ( hAPP(_u13418, hAPP(_u13419, _u13420)) != hAPP(_u13421, hAPP(_u13422, _u13423))) | ( hAPP(hAPP(c_Fun_Ocomp(_u13424, _u13425, _u13426, _u13418), _u13419), _u13420) = hAPP(hAPP(c_Fun_Ocomp(_u13427, _u13425, _u13428, _u13421), _u13422), _u13423)) )).
% 19.53/19.78 cnf(matrix-6101, plain, ( ( hAPP(c_Fun_Ocomp(_u13430, _u13430, _u13430, hAPP(_u13431, _u13432)), hAPP(_u13431, _u13433)) = hAPP(c_Fun_Ocomp(_u13430, _u13430, _u13430, hAPP(_u13431, _u13433)), hAPP(_u13431, _u13432))) | ~c_Finite__Set_Ofun__left__comm(_u13429, _u13430, _u13431) )).
% 19.53/19.78 cnf(matrix-6102, plain, ( ( hAPP(_u13437, hAPP(_u13438, _u13440)) = hAPP(_u13439, _u13440)) | ( hAPP(c_Fun_Ocomp(_u13434, _u13435, _u13436, _u13437), _u13438) != _u13439) )).
% 19.53/19.78 cnf(matrix-6103, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u13441, _u13442, _u13443, _u13444), hAPP(c_Product__Type_Oapsnd(_u13445, _u13441, _u13443, _u13446), _u13447)) = hAPP(c_Product__Type_Oapsnd(_u13445, _u13442, _u13443, hAPP(c_Fun_Ocomp(_u13441, _u13442, _u13445, _u13444), _u13446)), _u13447)) )).
% 19.53/19.78 cnf(matrix-6104, plain, ( ( hAPP(c_Product__Type_Oapfst(_u13448, _u13449, _u13450, _u13451), hAPP(c_Product__Type_Oapfst(_u13452, _u13448, _u13450, _u13453), _u13454)) = hAPP(c_Product__Type_Oapfst(_u13452, _u13449, _u13450, hAPP(c_Fun_Ocomp(_u13448, _u13449, _u13452, _u13451), _u13453)), _u13454)) )).
% 19.53/19.78 cnf(matrix-6105, plain, ( ( hAPP(c_Fun_Ocomp(_u13455, _u13456, _u13457, _u13458), c_Fun_Ofun__upd(_u13457, _u13455, _u13459, _u13460, _u13461)) = c_Fun_Ofun__upd(_u13457, _u13456, hAPP(c_Fun_Ocomp(_u13455, _u13456, _u13457, _u13458), _u13459), _u13460, hAPP(_u13458, _u13461))) )).
% 19.53/19.78 cnf(matrix-6106, plain, ( ( hAPP(c_Set_Ovimage(_u13462, _u13463, hAPP(c_Fun_Ocomp(_u13464, _u13463, _u13462, _u13465), _u13466)), _u13467) = hAPP(c_Set_Ovimage(_u13462, _u13464, _u13466), hAPP(c_Set_Ovimage(_u13464, _u13463, _u13465), _u13467))) )).
% 19.53/19.78 cnf(matrix-6107, plain, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13468, _u13469), tc_prod(_u13470, _u13471), tc_prod(_u13472, _u13473), c_Product__Type_Omap__pair(_u13468, _u13470, _u13469, _u13471, _u13474, _u13475)), c_Product__Type_Omap__pair(_u13472, _u13468, _u13473, _u13469, _u13476, _u13477)) = c_Product__Type_Omap__pair(_u13472, _u13470, _u13473, _u13471, hAPP(c_Fun_Ocomp(_u13468, _u13470, _u13472, _u13474), _u13476), hAPP(c_Fun_Ocomp(_u13469, _u13471, _u13473, _u13475), _u13477))) )).
% 19.53/19.78 cnf(matrix-6108, plain, ( ( c_Product__Type_Omap__pair(_u13478, _u13479, _u13480, _u13481, hAPP(c_Fun_Ocomp(_u13482, _u13479, _u13478, _u13483), _u13484), hAPP(c_Fun_Ocomp(_u13485, _u13481, _u13480, _u13486), _u13487)) = hAPP(c_Fun_Ocomp(tc_prod(_u13482, _u13485), tc_prod(_u13479, _u13481), tc_prod(_u13478, _u13480), c_Product__Type_Omap__pair(_u13482, _u13479, _u13485, _u13481, _u13483, _u13486)), c_Product__Type_Omap__pair(_u13478, _u13482, _u13480, _u13485, _u13484, _u13487))) )).
% 19.53/19.78 cnf(matrix-6109, plain, ( ( hAPP(c_Product__Type_Omap__pair(_u13488, _u13489, _u13490, _u13491, _u13492, _u13493), hAPP(c_Product__Type_Omap__pair(_u13494, _u13488, _u13495, _u13490, _u13496, _u13497), _u13498)) = hAPP(c_Product__Type_Omap__pair(_u13494, _u13489, _u13495, _u13491, hAPP(c_Fun_Ocomp(_u13488, _u13489, _u13494, _u13492), _u13496), hAPP(c_Fun_Ocomp(_u13490, _u13491, _u13495, _u13493), _u13497)), _u13498)) )).
% 19.53/19.78 cnf(matrix-6110, plain, ( ( hAPP(c_Set_Oimage(_u13499, _u13500, hAPP(c_Fun_Ocomp(_u13501, _u13500, _u13499, _u13502), _u13503)), _u13504) = hAPP(c_Set_Oimage(_u13501, _u13500, _u13502), hAPP(c_Set_Oimage(_u13499, _u13501, _u13503), _u13504))) )).
% 19.53/19.78 cnf(matrix-6111, plain, ( ( hAPP(c_Set_Oimage(_u13505, _u13506, _u13507), c_Orderings_Otop__class_Otop(tc_fun(_u13505, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13506, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13506, _u13508, _u13509), c_Orderings_Otop__class_Otop(tc_fun(_u13506, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13508, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13505, _u13508, hAPP(c_Fun_Ocomp(_u13506, _u13508, _u13505, _u13509), _u13507)), c_Orderings_Otop__class_Otop(tc_fun(_u13505, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u13508, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-6112, plain, ( ~c_Fun_Oinj__on(_u13510, _u13511, _u13512, c_Orderings_Otop__class_Otop(tc_fun(_u13510, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u13513, _u13510, _u13514, c_Orderings_Otop__class_Otop(tc_fun(_u13513, tc_HOL_Obool))) | c_Fun_Oinj__on(_u13513, _u13511, hAPP(c_Fun_Ocomp(_u13510, _u13511, _u13513, _u13512), _u13514), c_Orderings_Otop__class_Otop(tc_fun(_u13513, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-6113, plain, ( ~c_Fun_Oinj__on(_u13515, _u13516, hAPP(c_Fun_Ocomp(_u13517, _u13516, _u13515, _u13518), _u13519), _u13520) | c_Fun_Oinj__on(_u13515, _u13517, _u13519, _u13520) )).
% 19.53/19.78 cnf(matrix-6114, plain, ( ~c_Fun_Oinj__on(_u13521, _u13522, hAPP(c_Fun_Ocomp(_u13523, _u13522, _u13521, _u13524), _u13525), _u13526) | c_Fun_Oinj__on(_u13523, _u13522, _u13524, hAPP(c_Set_Oimage(_u13521, _u13523, _u13525), _u13526)) )).
% 19.53/19.78 cnf(matrix-6115, plain, ( ~c_Fun_Oinj__on(_u13527, _u13528, _u13529, _u13530) | ~c_Fun_Oinj__on(_u13528, _u13531, _u13532, hAPP(c_Set_Oimage(_u13527, _u13528, _u13529), _u13530)) | c_Fun_Oinj__on(_u13527, _u13531, hAPP(c_Fun_Ocomp(_u13528, _u13531, _u13527, _u13532), _u13529), _u13530) )).
% 19.53/19.78 cnf(matrix-6116, plain, ( ~c_Fun_Oinj__on(_u13533, _u13534, _u13535, _u13536) | ~c_Fun_Oinj__on(_u13534, _u13537, _u13538, hAPP(c_Set_Oimage(_u13533, _u13534, _u13535), _u13536)) | c_Fun_Oinj__on(_u13533, _u13537, hAPP(c_Fun_Ocomp(_u13534, _u13537, _u13533, _u13538), _u13535), _u13536) )).
% 19.53/19.78 cnf(matrix-6117, plain, ( ~c_Fun_Oinj__on(_u13533, _u13534, _u13535, _u13536) | ~c_Fun_Oinj__on(_u13533, _u13537, hAPP(c_Fun_Ocomp(_u13534, _u13537, _u13533, _u13538), _u13535), _u13536) | c_Fun_Oinj__on(_u13534, _u13537, _u13538, hAPP(c_Set_Oimage(_u13533, _u13534, _u13535), _u13536)) )).
% 19.53/19.78 cnf(matrix-6118, plain, ( ~class_Groups_Ocomm__monoid__add(_u13539) | ~c_Fun_Oinj__on(_u13540, _u13541, _u13542, _u13543) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13541, _u13539), _u13544), hAPP(c_Set_Oimage(_u13540, _u13541, _u13542), _u13543)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13540, _u13539), hAPP(c_Fun_Ocomp(_u13541, _u13539, _u13540, _u13544), _u13542)), _u13543)) )).
% 19.53/19.78 cnf(matrix-6119, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13545) | ~c_Fun_Oinj__on(_u13546, _u13547, _u13548, _u13549) | ( _u13550 != hAPP(c_Set_Oimage(_u13546, _u13547, _u13548), _u13549)) | ( _u13551 != hAPP(c_Fun_Ocomp(_u13547, _u13545, _u13546, _u13552), _u13548)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13547, _u13545), _u13552), _u13550) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13546, _u13545), _u13551), _u13549)) )).
% 19.53/19.78 cnf(matrix-6120, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13553) | ~c_Fun_Oinj__on(_u13554, _u13555, _u13556, _u13557) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13555, _u13553), _u13558), hAPP(c_Set_Oimage(_u13554, _u13555, _u13556), _u13557)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13554, _u13553), hAPP(c_Fun_Ocomp(_u13555, _u13553, _u13554, _u13558), _u13556)), _u13557)) )).
% 19.53/19.78 cnf(matrix-6121, plain, ( ~class_Groups_Ocomm__monoid__add(_u13559) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13560), _u13561)) | ~c_Fun_Oinj__on(_u13560, _u13560, _u13562, _u13561) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13560, _u13559), _u13563), hAPP(c_Set_Oimage(_u13560, _u13560, _u13562), _u13561)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13560, _u13559), hAPP(c_Fun_Ocomp(_u13560, _u13559, _u13560, _u13563), _u13562)), _u13561)) )).
% 19.53/19.78 cnf(matrix-6122, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13564) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13565), _u13566)) | ~c_Fun_Oinj__on(_u13565, _u13565, _u13567, _u13566) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13565, _u13564), _u13568), hAPP(c_Set_Oimage(_u13565, _u13565, _u13567), _u13566)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13565, _u13564), hAPP(c_Fun_Ocomp(_u13565, _u13564, _u13565, _u13568), _u13567)), _u13566)) )).
% 19.53/19.78 cnf(matrix-6123, plain, ( ~c_Fun_Oinj__on(_u13569, _u13570, _u13571, hAPP(c_Set_Oimage(_u13572, _u13569, _u13573), _u13574)) | ~c_Fun_Oinj__on(_u13572, _u13569, _u13573, _u13574) | ~hBOOL(hAPP(hAPP(c_member(_u13570), _u13575), hAPP(c_Set_Oimage(_u13569, _u13570, _u13571), hAPP(c_Set_Oimage(_u13572, _u13569, _u13573), _u13574)))) | ( hAPP(c_Fun_Othe__inv__into(_u13572, _u13570, _u13574, hAPP(c_Fun_Ocomp(_u13569, _u13570, _u13572, _u13571), _u13573)), _u13575) = hAPP(hAPP(c_Fun_Ocomp(_u13569, _u13572, _u13570, c_Fun_Othe__inv__into(_u13572, _u13569, _u13574, _u13573)), c_Fun_Othe__inv__into(_u13569, _u13570, hAPP(c_Set_Oimage(_u13572, _u13569, _u13573), _u13574), _u13571)), _u13575)) )).
% 19.53/19.78 cnf(matrix-6124, plain, ( ~class_Groups_Oab__semigroup__mult(_u13576) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13577), _u13578)) | ~c_Fun_Oinj__on(_u13577, _u13579, _u13580, _u13578) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13576, _u13579, c_Groups_Otimes__class_Otimes(_u13576)), _u13581), _u13582), hAPP(c_Set_Oimage(_u13577, _u13579, _u13580), _u13578)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13576, _u13577, c_Groups_Otimes__class_Otimes(_u13576)), hAPP(c_Fun_Ocomp(_u13579, _u13576, _u13577, _u13581), _u13580)), _u13582), _u13578)) )).
% 19.53/19.78 cnf(matrix-6125, plain, ( ~c_Finite__Set_Ofolding(_u13583, _u13584, _u13585, _u13586) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13583), _u13587)) | ~hBOOL(hAPP(hAPP(c_member(_u13583), _u13588), _u13587)) | ( hAPP(_u13586, _u13587) = hAPP(c_Fun_Ocomp(_u13584, _u13584, _u13584, hAPP(_u13586, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13583, tc_HOL_Obool)), _u13587), hAPP(hAPP(c_Set_Oinsert(_u13583), _u13588), c_Orderings_Obot__class_Obot(tc_fun(_u13583, tc_HOL_Obool)))))), hAPP(_u13585, _u13588))) )).
% 19.53/19.78 cnf(matrix-6126, plain, ( ~c_Finite__Set_Ofolding__image(_u13589, _u13590, _u13591, _u13592, _u13593) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13590), _u13594)) | ~c_Fun_Oinj__on(_u13590, _u13590, _u13595, _u13594) | ( hAPP(hAPP(_u13593, _u13596), hAPP(c_Set_Oimage(_u13590, _u13590, _u13595), _u13594)) = hAPP(hAPP(_u13593, hAPP(c_Fun_Ocomp(_u13590, _u13589, _u13590, _u13596), _u13595)), _u13594)) )).
% 19.53/19.78 cnf(matrix-6127, plain, ( ~c_Finite__Set_Ofolding(_u13597, _u13598, _u13599, _u13600) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13597), _u13601)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13597), _u13602)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13597, tc_HOL_Obool)), _u13601), _u13602) != c_Orderings_Obot__class_Obot(tc_fun(_u13597, tc_HOL_Obool))) | ( hAPP(_u13600, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13597, tc_HOL_Obool)), _u13601), _u13602)) = hAPP(c_Fun_Ocomp(_u13598, _u13598, _u13598, hAPP(_u13600, _u13601)), hAPP(_u13600, _u13602))) )).
% 19.53/19.78 cnf(matrix-6128, plain, ( ( hAPP(c_Fun_Ocomp(_u13604, _u13604, _u13607, hAPP(_u13605, _u13608)), hAPP(c_Fun_Ocomp(_u13604, _u13604, _u13607, hAPP(_u13605, _u13609)), _u13610)) = hAPP(c_Fun_Ocomp(_u13604, _u13604, _u13607, hAPP(_u13605, _u13609)), hAPP(c_Fun_Ocomp(_u13604, _u13604, _u13607, hAPP(_u13605, _u13608)), _u13610))) | ~c_Finite__Set_Ofolding(_u13603, _u13604, _u13605, _u13606) )).
% 19.53/19.78 cnf(matrix-6129, plain, ( ( hAPP(c_Fun_Ocomp(_u13612, _u13612, _u13612, hAPP(_u13613, _u13615)), hAPP(_u13613, _u13616)) = hAPP(c_Fun_Ocomp(_u13612, _u13612, _u13612, hAPP(_u13613, _u13616)), hAPP(_u13613, _u13615))) | ~c_Finite__Set_Ofolding(_u13611, _u13612, _u13613, _u13614) )).
% 19.53/19.78 cnf(matrix-6130, plain, ( ~c_Finite__Set_Ofolding(_u13617, _u13618, _u13619, _u13620) | ( hAPP(c_Fun_Ocomp(_u13621, _u13622, _u13623, _u13624), hAPP(c_Fun_Ocomp(_u13625, _u13621, _u13623, _u13626), _u13627)) = hAPP(c_Fun_Ocomp(_u13625, _u13622, _u13623, hAPP(c_Fun_Ocomp(_u13621, _u13622, _u13625, _u13624), _u13626)), _u13627)) )).
% 19.53/19.78 cnf(matrix-6131, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13628, tc_fun(_u13629, tc_HOL_Obool)), _u13630), hAPP(c_Fun_Ocomp(_u13631, tc_fun(_u13629, tc_HOL_Obool), _u13628, _u13632), _u13633)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13631, tc_fun(_u13629, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13628, _u13631, _u13633), _u13630)), _u13632)) )).
% 19.53/19.78 cnf(matrix-6132, plain, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13634, _u13635), _u13634, tc_prod(_u13636, _u13637), c_Product__Type_Ofst(_u13634, _u13635)), c_Product__Type_Omap__pair(_u13636, _u13634, _u13637, _u13635, _u13638, _u13639)) = hAPP(c_Fun_Ocomp(_u13636, _u13634, tc_prod(_u13636, _u13637), _u13638), c_Product__Type_Ofst(_u13636, _u13637))) )).
% 19.53/19.78 cnf(matrix-6133, plain, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13640, _u13641), _u13641, tc_prod(_u13642, _u13643), c_Product__Type_Osnd(_u13640, _u13641)), c_Product__Type_Omap__pair(_u13642, _u13640, _u13643, _u13641, _u13644, _u13645)) = hAPP(c_Fun_Ocomp(_u13643, _u13641, tc_prod(_u13642, _u13643), _u13645), c_Product__Type_Osnd(_u13642, _u13643))) )).
% 19.53/19.78 cnf(matrix-6134, plain, ( ~c_Finite__Set_Ofolding__image(_u13646, _u13647, _u13648, _u13649, _u13650) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13647), _u13651)) | ( hAPP(hAPP(_u13650, hAPP(hAPP(c_COMBS(_u13647, _u13646, _u13646), hAPP(hAPP(c_COMBB(_u13646, tc_fun(_u13646, _u13646), _u13647), _u13648), _u13652)), _u13653)), _u13651) = hAPP(hAPP(_u13648, hAPP(hAPP(_u13650, _u13652), _u13651)), hAPP(hAPP(_u13650, _u13653), _u13651))) )).
% 19.53/19.78 cnf(matrix-6135, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13654, _u13655, _u13656), hAPP(c_Fun_Ocomp(_u13657, tc_fun(_u13655, _u13656), _u13654, _u13658), _u13659)), _u13660) = hAPP(hAPP(_u13658, hAPP(_u13659, hAPP(c_Product__Type_Ofst(_u13654, _u13655), _u13660))), hAPP(c_Product__Type_Osnd(_u13654, _u13655), _u13660))) )).
% 19.53/19.78 cnf(matrix-6136, plain, ( ~c_Finite__Set_Ofolding(_u13661, _u13662, _u13663, _u13664) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13661), _u13665)) | ( hAPP(c_Fun_Ocomp(_u13662, _u13662, _u13662, hAPP(_u13663, _u13666)), hAPP(_u13664, _u13665)) = hAPP(c_Fun_Ocomp(_u13662, _u13662, _u13662, hAPP(_u13664, _u13665)), hAPP(_u13663, _u13666))) )).
% 19.53/19.78 cnf(matrix-6137, plain, ( ~c_Finite__Set_Ofolding(_u13667, _u13668, _u13669, _u13670) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13667), _u13671)) | ( hAPP(c_Fun_Ocomp(_u13668, _u13668, _u13672, hAPP(_u13669, _u13673)), hAPP(c_Fun_Ocomp(_u13668, _u13668, _u13672, hAPP(_u13670, _u13671)), _u13674)) = hAPP(c_Fun_Ocomp(_u13668, _u13668, _u13672, hAPP(_u13670, _u13671)), hAPP(c_Fun_Ocomp(_u13668, _u13668, _u13672, hAPP(_u13669, _u13673)), _u13674))) )).
% 19.53/19.78 cnf(matrix-6138, plain, ( ~c_Finite__Set_Ofolding(_u13675, _u13676, _u13677, _u13678) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13675), _u13679)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13675), _u13680)) | ( hAPP(c_Fun_Ocomp(_u13676, _u13676, _u13676, hAPP(_u13678, _u13680)), hAPP(_u13678, _u13679)) = hAPP(c_Fun_Ocomp(_u13676, _u13676, _u13676, hAPP(_u13678, _u13679)), hAPP(_u13678, _u13680))) )).
% 19.53/19.78 cnf(matrix-6139, plain, ( ~c_Finite__Set_Ofolding(_u13681, _u13682, _u13683, _u13684) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13681), _u13685)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13681), _u13686)) | ( hAPP(c_Fun_Ocomp(_u13682, _u13682, _u13687, hAPP(_u13684, _u13686)), hAPP(c_Fun_Ocomp(_u13682, _u13682, _u13687, hAPP(_u13684, _u13685)), _u13688)) = hAPP(c_Fun_Ocomp(_u13682, _u13682, _u13687, hAPP(_u13684, _u13685)), hAPP(c_Fun_Ocomp(_u13682, _u13682, _u13687, hAPP(_u13684, _u13686)), _u13688))) )).
% 19.53/19.78 cnf(matrix-6140, plain, ( ~c_Finite__Set_Ofolding(_u13689, _u13690, _u13691, _u13692) | ( hAPP(_u13692, c_Orderings_Obot__class_Obot(tc_fun(_u13689, tc_HOL_Obool))) = c_Fun_Oid(_u13690)) )).
% 19.53/19.78 cnf(matrix-6141, plain, ( ~c_Finite__Set_Ofolding(_u13693, _u13694, _u13695, _u13696) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13693), _u13697)) | ( hAPP(hAPP(_u13696, _u13697), _u13698) = hAPP(hAPP(c_Finite__Set_Ofold(_u13693, _u13694, _u13695), _u13698), _u13697)) )).
% 19.53/19.78 cnf(matrix-6142, plain, ( ~c_Finite__Set_Ofolding__image(_u13699, _u13700, _u13701, _u13702, _u13703) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13700), _u13704)) | ( hAPP(hAPP(_u13703, _u13705), _u13704) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13699, _u13700, _u13701), _u13705), _u13702), _u13704)) )).
% 19.53/19.78 cnf(matrix-6143, plain, ( ~c_Finite__Set_Ofolding(_u13706, _u13707, _u13708, _u13709) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13706), _u13710)) | hBOOL(hAPP(hAPP(c_member(_u13706), _u13711), _u13710)) | ( hAPP(_u13709, hAPP(hAPP(c_Set_Oinsert(_u13706), _u13711), _u13710)) = hAPP(c_Fun_Ocomp(_u13707, _u13707, _u13707, hAPP(_u13709, _u13710)), hAPP(_u13708, _u13711))) )).
% 19.53/19.78 cnf(matrix-6144, plain, ( ~c_Finite__Set_Ofolding(_u13712, _u13713, _u13714, _u13715) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13712), _u13716)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13712), _u13717)) | ( hAPP(c_Fun_Ocomp(_u13713, _u13713, _u13713, hAPP(_u13715, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13712, tc_HOL_Obool)), _u13716), _u13717))), hAPP(_u13715, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13712, tc_HOL_Obool)), _u13716), _u13717))) = hAPP(c_Fun_Ocomp(_u13713, _u13713, _u13713, hAPP(_u13715, _u13716)), hAPP(_u13715, _u13717))) )).
% 19.53/19.78 cnf(matrix-6145, plain, ( ~c_Finite__Set_Ofolding(_u13718, _u13719, _u13720, _u13721) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13718), _u13722)) | ( hAPP(_u13721, hAPP(hAPP(c_Set_Oinsert(_u13718), _u13723), _u13722)) = hAPP(c_Fun_Ocomp(_u13719, _u13719, _u13719, hAPP(_u13721, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13718, tc_HOL_Obool)), _u13722), hAPP(hAPP(c_Set_Oinsert(_u13718), _u13723), c_Orderings_Obot__class_Obot(tc_fun(_u13718, tc_HOL_Obool)))))), hAPP(_u13720, _u13723))) )).
% 19.53/19.78 cnf(matrix-6146, plain, ( ~class_Groups_Ocomm__monoid__add(_u13726) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13727), _u13728)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13731, _u13726), _u13730), hAPP(c_Set_Oimage(_u13727, _u13731, _u13729), _u13728)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13727, _u13726), hAPP(c_Fun_Ocomp(_u13731, _u13726, _u13727, _u13730), _u13729)), _u13728)) | hBOOL(hAPP(hAPP(c_member(_u13727), skolem337(_u13731, _u13730, _u13729, _u13728, _u13727, _u13726)), _u13728)) )).
% 19.53/19.78 cnf(matrix-6147, plain, ( ~class_Groups_Ocomm__monoid__add(_u13726) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13727), _u13728)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13731, _u13726), _u13730), hAPP(c_Set_Oimage(_u13727, _u13731, _u13729), _u13728)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13727, _u13726), hAPP(c_Fun_Ocomp(_u13731, _u13726, _u13727, _u13730), _u13729)), _u13728)) | hBOOL(hAPP(hAPP(c_member(_u13727), skolem338(_u13731, _u13730, _u13729, _u13728, _u13727, _u13726)), _u13728)) )).
% 19.53/19.78 cnf(matrix-6148, plain, ( ~class_Groups_Ocomm__monoid__add(_u13726) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13727), _u13728)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13731, _u13726), _u13730), hAPP(c_Set_Oimage(_u13727, _u13731, _u13729), _u13728)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13727, _u13726), hAPP(c_Fun_Ocomp(_u13731, _u13726, _u13727, _u13730), _u13729)), _u13728)) | ( skolem337(_u13731, _u13730, _u13729, _u13728, _u13727, _u13726) != skolem338(_u13731, _u13730, _u13729, _u13728, _u13727, _u13726)) )).
% 19.53/19.78 cnf(matrix-6149, plain, ( ~class_Groups_Ocomm__monoid__add(_u13726) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13727), _u13728)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13731, _u13726), _u13730), hAPP(c_Set_Oimage(_u13727, _u13731, _u13729), _u13728)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13727, _u13726), hAPP(c_Fun_Ocomp(_u13731, _u13726, _u13727, _u13730), _u13729)), _u13728)) | ( hAPP(_u13729, skolem337(_u13731, _u13730, _u13729, _u13728, _u13727, _u13726)) = hAPP(_u13729, skolem338(_u13731, _u13730, _u13729, _u13728, _u13727, _u13726))) )).
% 19.53/19.78 cnf(matrix-6150, plain, ( ~class_Groups_Ocomm__monoid__add(_u13726) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13727), _u13728)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13731, _u13726), _u13730), hAPP(c_Set_Oimage(_u13727, _u13731, _u13729), _u13728)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13727, _u13726), hAPP(c_Fun_Ocomp(_u13731, _u13726, _u13727, _u13730), _u13729)), _u13728)) | ( hAPP(_u13730, hAPP(_u13729, skolem337(_u13731, _u13730, _u13729, _u13728, _u13727, _u13726))) != c_Groups_Ozero__class_Ozero(_u13726)) )).
% 19.53/19.78 cnf(matrix-6151, plain, ( ~c_Finite__Set_Ofolding__idem(_u13732, _u13733, _u13734, _u13735) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13732), _u13736)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13732), _u13737)) | ( hAPP(_u13735, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13732, tc_HOL_Obool)), _u13736), _u13737)) = hAPP(c_Fun_Ocomp(_u13733, _u13733, _u13733, hAPP(_u13735, _u13736)), hAPP(_u13735, _u13737))) )).
% 19.53/19.78 cnf(matrix-6152, plain, ( ~c_Finite__Set_Ofolding__idem(_u13738, _u13739, _u13740, _u13741) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13738), _u13742)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13738, tc_HOL_Obool)), _u13743), _u13742)) | ( hAPP(c_Fun_Ocomp(_u13739, _u13739, _u13739, hAPP(_u13741, _u13742)), hAPP(_u13741, _u13743)) = hAPP(_u13741, _u13742)) )).
% 19.53/19.78 cnf(matrix-6153, plain, ( ( hAPP(c_Fun_Ocomp(_u13745, _u13745, _u13748, hAPP(_u13746, _u13749)), hAPP(c_Fun_Ocomp(_u13745, _u13745, _u13748, hAPP(_u13746, _u13749)), _u13750)) = hAPP(c_Fun_Ocomp(_u13745, _u13745, _u13748, hAPP(_u13746, _u13749)), _u13750)) | ~c_Finite__Set_Ofolding__idem(_u13744, _u13745, _u13746, _u13747) )).
% 19.53/19.78 cnf(matrix-6154, plain, ( ( hAPP(c_Fun_Ocomp(_u13752, _u13752, _u13752, hAPP(_u13753, _u13755)), hAPP(_u13753, _u13755)) = hAPP(_u13753, _u13755)) | ~c_Finite__Set_Ofolding__idem(_u13751, _u13752, _u13753, _u13754) )).
% 19.53/19.78 cnf(matrix-6155, plain, ( ~c_Finite__Set_Ofolding__idem(_u13756, _u13757, _u13758, _u13759) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13756), _u13760)) | ~hBOOL(hAPP(hAPP(c_member(_u13756), _u13761), _u13760)) | ( hAPP(c_Fun_Ocomp(_u13757, _u13757, _u13757, hAPP(_u13759, _u13760)), hAPP(_u13758, _u13761)) = hAPP(_u13759, _u13760)) )).
% 19.53/19.78 cnf(matrix-6156, plain, ( ~c_Finite__Set_Ofolding__idem(_u13762, _u13763, _u13764, _u13765) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13762), _u13766)) | ( hAPP(_u13765, hAPP(hAPP(c_Set_Oinsert(_u13762), _u13767), _u13766)) = hAPP(c_Fun_Ocomp(_u13763, _u13763, _u13763, hAPP(_u13765, _u13766)), hAPP(_u13764, _u13767))) )).
% 19.53/19.78 cnf(matrix-6157, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13769) | ~c_Fun_Oinj__on(_u13770, _u13771, _u13772, _u13773) | ( _u13774 != hAPP(c_Set_Oimage(_u13770, _u13771, _u13772), _u13773)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13771, _u13769), _u13776), _u13774) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13770, _u13769), _u13775), _u13773)) | hBOOL(hAPP(hAPP(c_member(_u13770), skolem339(_u13776, _u13775, _u13774, _u13773, _u13772, _u13771, _u13770, _u13769)), _u13773)) )).
% 19.53/19.78 cnf(matrix-6158, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13769) | ~c_Fun_Oinj__on(_u13770, _u13771, _u13772, _u13773) | ( _u13774 != hAPP(c_Set_Oimage(_u13770, _u13771, _u13772), _u13773)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13771, _u13769), _u13776), _u13774) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13770, _u13769), _u13775), _u13773)) | ( hAPP(_u13775, skolem339(_u13776, _u13775, _u13774, _u13773, _u13772, _u13771, _u13770, _u13769)) != hAPP(hAPP(c_Fun_Ocomp(_u13771, _u13769, _u13770, _u13776), _u13772), skolem339(_u13776, _u13775, _u13774, _u13773, _u13772, _u13771, _u13770, _u13769))) )).
% 19.53/19.78 cnf(matrix-6159, plain, ( ( c_Hilbert__Choice_OEps(tc_prod(_u13777, _u13778), hAPP(c_Product__Type_Oprod_Oprod__case(_u13777, _u13778, tc_HOL_Obool), _u13779)) = c_Hilbert__Choice_OEps(tc_prod(_u13777, _u13778), hAPP(hAPP(c_COMBS(tc_prod(_u13777, _u13778), _u13778, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u13777, tc_fun(_u13778, tc_HOL_Obool), tc_prod(_u13777, _u13778)), _u13779), c_Product__Type_Ofst(_u13777, _u13778))), c_Product__Type_Osnd(_u13777, _u13778)))) )).
% 19.53/19.78 cnf(matrix-6160, plain, ( c_Wellfounded_Owf(_u13781, _u13782) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13781, tc_HOL_Obool)), skolem340(_u13782, _u13781)), hAPP(c_Relation_OImage(_u13781, _u13781, _u13782), skolem340(_u13782, _u13781)))) )).
% 19.53/19.78 cnf(matrix-6161, plain, ( c_Wellfounded_Owf(_u13781, _u13782) | ( skolem340(_u13782, _u13781) != c_Orderings_Obot__class_Obot(tc_fun(_u13781, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-6162, plain, ( ~hBOOL(hAPP(_u13784, _u13783)) | hBOOL(hAPP(_u13784, c_Hilbert__Choice_OEps(_u13785, _u13784))) )).
% 19.53/19.78 cnf(matrix-6163, plain, ( ~hBOOL(hAPP(_u13786, _u13787)) | hBOOL(hAPP(_u13786, c_Hilbert__Choice_OEps(_u13788, _u13786))) )).
% 19.53/19.78 cnf(matrix-6164, plain, ( ( c_Hilbert__Choice_OEps(_u13789, hAPP(c_fequal, _u13790)) = _u13790) )).
% 19.53/19.78 cnf(matrix-6165, plain, ( ( c_Hilbert__Choice_OEps(_u13791, hAPP(hAPP(c_COMBC(_u13791, _u13791, tc_HOL_Obool), c_fequal), _u13792)) = _u13792) )).
% 19.53/19.78 cnf(matrix-6166, plain, ( ~hBOOL(hAPP(_u13797, c_Hilbert__Choice_OEps(_u13799, _u13797))) | hBOOL(hAPP(_u13797, skolem341(_u13799, _u13797))) )).
% 19.53/19.78 cnf(matrix-6167, plain, ( ~hBOOL(hAPP(_u13798, _u13794)) | hBOOL(hAPP(_u13798, c_Hilbert__Choice_OEps(_u13800, _u13798))) )).
% 19.53/19.78 cnf(matrix-6168, plain, ( ~hBOOL(hAPP(_u13802, _u13801)) | hBOOL(hAPP(_u13802, c_Hilbert__Choice_OEps(_u13803, _u13802))) )).
% 19.53/19.78 cnf(matrix-6169, plain, ( ~hBOOL(hAPP(_u13805, _u13804)) | ( _u13806 != c_Hilbert__Choice_OEps(_u13807, _u13805)) | hBOOL(hAPP(_u13805, _u13806)) )).
% 19.53/19.78 cnf(matrix-6170, plain, ( ( c_Hilbert__Choice_OEps(tc_prod(_u13808, _u13809), _u13810) = c_Hilbert__Choice_OEps(tc_prod(_u13808, _u13809), hAPP(c_Product__Type_Oprod_Oprod__case(_u13808, _u13809, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13809, tc_prod(_u13808, _u13809)), tc_fun(_u13809, tc_HOL_Obool), _u13808), hAPP(c_COMBB(tc_prod(_u13808, _u13809), tc_HOL_Obool, _u13809), _u13810)), c_Product__Type_OPair(_u13808, _u13809))))) )).
% 19.53/19.78 cnf(matrix-6171, plain, ( ( c_Hilbert__Choice_OEps(tc_prod(_u13811, _u13812), hAPP(c_Product__Type_Oprod_Oprod__case(_u13811, _u13812, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13811, tc_fun(_u13812, tc_HOL_Obool), tc_fun(_u13812, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13812, tc_HOL_Obool), tc_fun(_u13812, tc_HOL_Obool)), _u13811), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13812)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13811), c_fconj), hAPP(c_fequal, _u13813)))), hAPP(c_fequal, _u13814)))) = hAPP(hAPP(c_Product__Type_OPair(_u13811, _u13812), _u13813), _u13814)) )).
% 19.53/19.78 cnf(matrix-6172, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13816, tc_HOL_Obool)), _u13817), _u13818)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13816, _u13819), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13816, _u13819), _u13817), _u13820)), hAPP(hAPP(c_Product__Type_OSigma(_u13816, _u13819), _u13818), _u13821))) | hBOOL(hAPP(hAPP(c_member(_u13816), skolem342(_u13821, _u13820, _u13819, _u13818, _u13817, _u13816)), _u13817)) )).
% 19.53/19.78 cnf(matrix-6173, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13816, tc_HOL_Obool)), _u13817), _u13818)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13816, _u13819), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13816, _u13819), _u13817), _u13820)), hAPP(hAPP(c_Product__Type_OSigma(_u13816, _u13819), _u13818), _u13821))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13819, tc_HOL_Obool)), hAPP(_u13820, skolem342(_u13821, _u13820, _u13819, _u13818, _u13817, _u13816))), hAPP(_u13821, skolem342(_u13821, _u13820, _u13819, _u13818, _u13817, _u13816)))) )).
% 19.53/19.78 cnf(matrix-6174, plain, ( hBOOL(hAPP(hAPP(c_member(_u13823), _u13824), c_Wellfounded_Oacc(_u13823, _u13825))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13823, _u13823)), hAPP(hAPP(c_Product__Type_OPair(_u13823, _u13823), skolem343(_u13825, _u13824, _u13823)), _u13824)), _u13825)) )).
% 19.53/19.78 cnf(matrix-6175, plain, ( hBOOL(hAPP(hAPP(c_member(_u13823), _u13824), c_Wellfounded_Oacc(_u13823, _u13825))) | ~hBOOL(hAPP(hAPP(c_member(_u13823), skolem343(_u13825, _u13824, _u13823)), c_Wellfounded_Oacc(_u13823, _u13825))) )).
% 19.53/19.78 cnf(matrix-6176, plain, ( hBOOL(hAPP(hAPP(c_member(_u13827), _u13828), c_Wellfounded_Oacc(_u13827, _u13829))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13827, _u13827)), hAPP(hAPP(c_Product__Type_OPair(_u13827, _u13827), skolem344(_u13829, _u13828, _u13827)), _u13828)), _u13829)) )).
% 19.53/19.78 cnf(matrix-6177, plain, ( hBOOL(hAPP(hAPP(c_member(_u13827), _u13828), c_Wellfounded_Oacc(_u13827, _u13829))) | ~hBOOL(hAPP(hAPP(c_member(_u13827), skolem344(_u13829, _u13828, _u13827)), c_Wellfounded_Oacc(_u13827, _u13829))) )).
% 19.53/19.78 cnf(matrix-6178, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13838, tc_HOL_Obool), tc_fun(_u13838, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13838, tc_HOL_Obool), tc_fun(_u13838, tc_HOL_Obool)), _u13840), _u13842)), c_Wellfounded_Omax__ext(_u13838, _u13844))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13838), _u13840)) )).
% 19.53/19.78 cnf(matrix-6179, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13838, tc_HOL_Obool), tc_fun(_u13838, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13838, tc_HOL_Obool), tc_fun(_u13838, tc_HOL_Obool)), _u13840), _u13842)), c_Wellfounded_Omax__ext(_u13838, _u13844))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13838), _u13842)) )).
% 19.53/19.78 cnf(matrix-6180, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13838, tc_HOL_Obool), tc_fun(_u13838, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13838, tc_HOL_Obool), tc_fun(_u13838, tc_HOL_Obool)), _u13840), _u13842)), c_Wellfounded_Omax__ext(_u13838, _u13844))) | ( _u13842 != c_Orderings_Obot__class_Obot(tc_fun(_u13838, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-6181, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13838, tc_HOL_Obool), tc_fun(_u13838, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13838, tc_HOL_Obool), tc_fun(_u13838, tc_HOL_Obool)), _u13840), _u13842)), c_Wellfounded_Omax__ext(_u13838, _u13844))) | ~hBOOL(hAPP(hAPP(c_member(_u13838), _u13831), _u13840)) | hBOOL(hAPP(hAPP(c_member(_u13838), skolem345(_u13844, _u13842, _u13840, _u13838, _u13831)), _u13842)) )).
% 19.53/19.78 cnf(matrix-6182, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13838, tc_HOL_Obool), tc_fun(_u13838, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13838, tc_HOL_Obool), tc_fun(_u13838, tc_HOL_Obool)), _u13840), _u13842)), c_Wellfounded_Omax__ext(_u13838, _u13844))) | ~hBOOL(hAPP(hAPP(c_member(_u13838), _u13831), _u13840)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13838, _u13838)), hAPP(hAPP(c_Product__Type_OPair(_u13838, _u13838), _u13831), skolem345(_u13844, _u13842, _u13840, _u13838, _u13831))), _u13844)) )).
% 19.53/19.78 cnf(matrix-6183, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13839, tc_HOL_Obool), tc_fun(_u13839, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13839, tc_HOL_Obool), tc_fun(_u13839, tc_HOL_Obool)), _u13841), _u13843)), c_Wellfounded_Omax__ext(_u13839, _u13845))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13839), _u13841)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13839), _u13843)) | ( _u13843 = c_Orderings_Obot__class_Obot(tc_fun(_u13839, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u13839), skolem346(_u13845, _u13843, _u13841, _u13839)), _u13841)) )).
% 19.53/19.78 cnf(matrix-6184, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13839, tc_HOL_Obool), tc_fun(_u13839, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13839, tc_HOL_Obool), tc_fun(_u13839, tc_HOL_Obool)), _u13841), _u13843)), c_Wellfounded_Omax__ext(_u13839, _u13845))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13839), _u13841)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13839), _u13843)) | ( _u13843 = c_Orderings_Obot__class_Obot(tc_fun(_u13839, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u13839), _u13832), _u13843)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13839, _u13839)), hAPP(hAPP(c_Product__Type_OPair(_u13839, _u13839), skolem346(_u13845, _u13843, _u13841, _u13839)), _u13832)), _u13845)) )).
% 19.53/19.78 cnf(matrix-6185, plain, ( ~class_Orderings_Olinorder(_u13847) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13847), _u13848)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13847), hAPP(hAPP(c_Finite__Set_Ofold(_u13847, _u13847, c_Orderings_Oord__class_Omax(_u13847)), _u13850), _u13848)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u13847), _u13849), _u13850))) | hBOOL(hAPP(hAPP(c_member(_u13847), skolem347(_u13850, _u13849, _u13848, _u13847)), _u13848)) )).
% 19.53/19.78 cnf(matrix-6186, plain, ( ~class_Orderings_Olinorder(_u13847) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13847), _u13848)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13847), hAPP(hAPP(c_Finite__Set_Ofold(_u13847, _u13847, c_Orderings_Oord__class_Omax(_u13847)), _u13850), _u13848)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u13847), _u13849), _u13850))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13847), skolem347(_u13850, _u13849, _u13848, _u13847)), _u13849)) )).
% 19.53/19.78 cnf(matrix-6187, plain, ( ~class_Orderings_Olinorder(_u13852) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13852), _u13853)) | ~hBOOL(hAPP(hAPP(c_member(_u13852), _u13854), _u13853)) | ( c_Big__Operators_Olinorder__class_OMax(_u13852, _u13853) = _u13854) | hBOOL(hAPP(hAPP(c_member(_u13852), skolem348(_u13854, _u13853, _u13852)), _u13853)) )).
% 19.53/19.78 cnf(matrix-6188, plain, ( ~class_Orderings_Olinorder(_u13852) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13852), _u13853)) | ~hBOOL(hAPP(hAPP(c_member(_u13852), _u13854), _u13853)) | ( c_Big__Operators_Olinorder__class_OMax(_u13852, _u13853) = _u13854) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13852), skolem348(_u13854, _u13853, _u13852)), _u13854)) )).
% 19.53/19.78 cnf(matrix-6189, plain, ( ~c_Wellfounded_Owf(_u13856, _u13857) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13856, _u13856)), hAPP(hAPP(c_Product__Type_OPair(_u13856, _u13856), hAPP(_u13858, hAPP(c_Nat_OSuc, skolem349(_u13858, _u13857, _u13856)))), hAPP(_u13858, skolem349(_u13858, _u13857, _u13856)))), _u13857)) )).
% 19.53/19.78 cnf(matrix-6190, plain, ( ( _u13864 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u13866, _u13868, _u13864, _u13870), _u13872) = hAPP(c_Product__Type_OPair(_u13866, _u13868), _u13872)) )).
% 19.53/19.78 cnf(matrix-6191, plain, ( ( _u13865 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u13867, _u13869, _u13865, _u13871), _u13873) = hAPP(hAPP(c_Product__Type_Oscomp(_u13869, _u13867, _u13869, tc_prod(_u13867, _u13869)), hAPP(_u13871, _u13873)), c_Random_Oiterate(_u13867, _u13869, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u13865), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u13871))) )).
% 19.53/19.78 cnf(matrix-6192, plain, ( ~class_Groups_Ocomm__monoid__add(_u13875) | ~c_Fun_Oinj__on(_u13876, _u13877, _u13878, _u13879) | ( _u13880 != hAPP(c_Set_Oimage(_u13876, _u13877, _u13878), _u13879)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13877, _u13875), _u13882), _u13880) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13876, _u13875), _u13881), _u13879)) | hBOOL(hAPP(hAPP(c_member(_u13876), skolem350(_u13882, _u13881, _u13880, _u13879, _u13878, _u13877, _u13876, _u13875)), _u13879)) )).
% 19.53/19.78 cnf(matrix-6193, plain, ( ~class_Groups_Ocomm__monoid__add(_u13875) | ~c_Fun_Oinj__on(_u13876, _u13877, _u13878, _u13879) | ( _u13880 != hAPP(c_Set_Oimage(_u13876, _u13877, _u13878), _u13879)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13877, _u13875), _u13882), _u13880) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13876, _u13875), _u13881), _u13879)) | ( hAPP(_u13881, skolem350(_u13882, _u13881, _u13880, _u13879, _u13878, _u13877, _u13876, _u13875)) != hAPP(_u13882, hAPP(_u13878, skolem350(_u13882, _u13881, _u13880, _u13879, _u13878, _u13877, _u13876, _u13875)))) )).
% 19.53/19.78 cnf(matrix-6194, plain, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u13883, _u13884, _u13885, _u13886), hAPP(hAPP(c_Product__Type_Oscomp(_u13883, _u13887, _u13888, tc_prod(_u13884, _u13885)), _u13889), _u13890)), _u13891) = hAPP(hAPP(c_Product__Type_Oscomp(_u13883, _u13887, _u13888, _u13886), _u13889), hAPP(hAPP(c_COMBC(_u13887, tc_fun(_u13884, tc_fun(_u13885, _u13886)), tc_fun(_u13888, _u13886)), hAPP(hAPP(c_COMBB(tc_fun(_u13888, tc_prod(_u13884, _u13885)), tc_fun(tc_fun(_u13884, tc_fun(_u13885, _u13886)), tc_fun(_u13888, _u13886)), _u13887), c_Product__Type_Oscomp(_u13888, _u13884, _u13885, _u13886)), _u13890)), _u13891))) )).
% 19.53/19.78 cnf(matrix-6195, plain, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u13892, _u13893, _u13894, tc_prod(_u13893, _u13894)), _u13895), c_Product__Type_OPair(_u13893, _u13894)) = _u13895) )).
% 19.53/19.78 cnf(matrix-6196, plain, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u13896, _u13897, _u13896, _u13898), hAPP(c_Product__Type_OPair(_u13897, _u13896), _u13899)), _u13900) = hAPP(_u13900, _u13899)) )).
% 19.53/19.78 cnf(matrix-6197, plain, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u13901, _u13902, _u13903, _u13904), _u13905), _u13906), _u13907) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13902, _u13903, _u13904), _u13906), hAPP(_u13905, _u13907))) )).
% 19.53/19.78 cnf(matrix-6198, plain, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u13908, _u13909, _u13910, _u13911), _u13912), _u13913), _u13914) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13909, _u13910, _u13911), _u13913), hAPP(_u13912, _u13914))) )).
% 19.53/19.78 cnf(matrix-6199, plain, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u13915, _u13916, _u13917, _u13918), _u13919), _u13920), _u13921) = hAPP(hAPP(_u13920, hAPP(c_Product__Type_Ofst(_u13916, _u13917), hAPP(_u13919, _u13921))), hAPP(c_Product__Type_Osnd(_u13916, _u13917), hAPP(_u13919, _u13921)))) )).
% 19.53/19.78 cnf(matrix-6200, plain, ( ~class_Groups_Ocomm__monoid__add(_u13923) | ~class_Orderings_Oord(_u13924) | ( _u13925 != _u13926) | ( _u13927 != _u13928) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13924, _u13923), _u13929), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u13924, _u13925), _u13927)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13924, _u13923), _u13930), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u13924, _u13926), _u13928))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13924), _u13926), skolem351(_u13930, _u13929, _u13928, _u13927, _u13926, _u13925, _u13924, _u13923))) )).
% 19.53/19.78 cnf(matrix-6201, plain, ( ~class_Groups_Ocomm__monoid__add(_u13923) | ~class_Orderings_Oord(_u13924) | ( _u13925 != _u13926) | ( _u13927 != _u13928) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13924, _u13923), _u13929), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u13924, _u13925), _u13927)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13924, _u13923), _u13930), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u13924, _u13926), _u13928))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u13924), skolem351(_u13930, _u13929, _u13928, _u13927, _u13926, _u13925, _u13924, _u13923)), _u13928)) )).
% 19.53/19.78 cnf(matrix-6202, plain, ( ~class_Groups_Ocomm__monoid__add(_u13923) | ~class_Orderings_Oord(_u13924) | ( _u13925 != _u13926) | ( _u13927 != _u13928) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13924, _u13923), _u13929), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u13924, _u13925), _u13927)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13924, _u13923), _u13930), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u13924, _u13926), _u13928))) | ( hAPP(_u13929, skolem351(_u13930, _u13929, _u13928, _u13927, _u13926, _u13925, _u13924, _u13923)) != hAPP(_u13930, skolem351(_u13930, _u13929, _u13928, _u13927, _u13926, _u13925, _u13924, _u13923))) )).
% 19.53/19.78 cnf(matrix-6203, plain, ( ~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), _u13933), _u13935)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u13933), _u13935)) )).
% 19.53/19.78 cnf(matrix-6204, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u13934), _u13936)) | 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), _u13934), _u13936)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 19.53/19.78 cnf(matrix-6205, plain, ( ~c_Wellfounded_Owf(_u13947, _u13949) | ~hBOOL(hAPP(hAPP(c_member(_u13947), _u13937), _u13940)) | hBOOL(hAPP(hAPP(c_member(_u13947), skolem352(_u13949, _u13947, _u13940)), _u13940)) )).
% 19.53/19.78 cnf(matrix-6206, plain, ( ~c_Wellfounded_Owf(_u13947, _u13949) | ~hBOOL(hAPP(hAPP(c_member(_u13947), _u13937), _u13940)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13947, _u13947)), hAPP(hAPP(c_Product__Type_OPair(_u13947, _u13947), _u13938), skolem352(_u13949, _u13947, _u13940))), _u13949)) | ~hBOOL(hAPP(hAPP(c_member(_u13947), _u13938), _u13940)) )).
% 19.53/19.78 cnf(matrix-6207, plain, ( c_Wellfounded_Owf(_u13948, _u13950) | hBOOL(hAPP(hAPP(c_member(_u13948), skolem354(_u13950, _u13948)), skolem353(_u13950, _u13948))) )).
% 19.53/19.78 cnf(matrix-6208, plain, ( c_Wellfounded_Owf(_u13948, _u13950) | ~hBOOL(hAPP(hAPP(c_member(_u13948), _u13943), skolem353(_u13950, _u13948))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13948, _u13948)), hAPP(hAPP(c_Product__Type_OPair(_u13948, _u13948), skolem355(_u13950, _u13948, _u13943)), _u13943)), _u13950)) )).
% 19.53/19.78 cnf(matrix-6209, plain, ( c_Wellfounded_Owf(_u13948, _u13950) | ~hBOOL(hAPP(hAPP(c_member(_u13948), _u13943), skolem353(_u13950, _u13948))) | hBOOL(hAPP(hAPP(c_member(_u13948), skolem355(_u13950, _u13948, _u13943)), skolem353(_u13950, _u13948))) )).
% 19.53/19.78 cnf(matrix-6210, plain, ( ~c_Wellfounded_Owf(_u13951, _u13952) | c_Wellfounded_Owf(_u13951, c_Transitive__Closure_Otrancl(_u13951, _u13952)) )).
% 19.53/19.78 cnf(matrix-6211, plain, ( ( c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat)) )).
% 19.53/19.78 cnf(matrix-6212, plain, ( ~c_Wellfounded_Oacyclic(_u13957, _u13959) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13957, _u13957)), hAPP(hAPP(c_Product__Type_OPair(_u13957, _u13957), _u13953), _u13953)), c_Transitive__Closure_Otrancl(_u13957, _u13959))) )).
% 19.53/19.78 cnf(matrix-6213, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13958, _u13958)), hAPP(hAPP(c_Product__Type_OPair(_u13958, _u13958), skolem356(_u13960, _u13958)), skolem356(_u13960, _u13958))), c_Transitive__Closure_Otrancl(_u13958, _u13960))) | c_Wellfounded_Oacyclic(_u13958, _u13960) )).
% 19.53/19.78 cnf(matrix-6214, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13961, _u13961)), hAPP(hAPP(c_Product__Type_OPair(_u13961, _u13961), _u13962), _u13963)), _u13964)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13961, _u13961)), hAPP(hAPP(c_Product__Type_OPair(_u13961, _u13961), _u13962), _u13963)), c_Transitive__Closure_Otrancl(_u13961, _u13964))) )).
% 19.53/19.78 cnf(matrix-6215, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13965, _u13965), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u13965, _u13966)), hAPP(hAPP(c_Product__Type_OSigma(_u13965, _u13965), hAPP(c_Relation_OField(_u13965), _u13966)), hAPP(c_COMBK(tc_fun(_u13965, tc_HOL_Obool), _u13965), hAPP(c_Relation_OField(_u13965), _u13966))))) )).
% 19.53/19.78 cnf(matrix-6216, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13967, _u13967), tc_HOL_Obool)), _u13968), _u13969)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13967, _u13967), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13967, _u13967, _u13967), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13967, _u13967), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u13967, _u13968)), _u13969)), _u13968)), _u13969)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13967, _u13967), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u13967, _u13968)), _u13969)) )).
% 19.53/19.78 cnf(matrix-6217, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13970, _u13970)), _u13971), _u13972)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13970, _u13970)), _u13971), c_Transitive__Closure_Otrancl(_u13970, _u13972))) )).
% 19.53/19.78 cnf(matrix-6218, plain, ( ( c_Transitive__Closure_Otrancl(_u13973, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13973, _u13973), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13973, _u13973), tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-6219, plain, ( ( hAPP(c_Relation_ODomain(_u13974, _u13974), c_Transitive__Closure_Otrancl(_u13974, _u13975)) = hAPP(c_Relation_ODomain(_u13974, _u13974), _u13975)) )).
% 19.53/19.78 cnf(matrix-6220, plain, ( ( hAPP(c_Relation_ORange(_u13976, _u13976), c_Transitive__Closure_Otrancl(_u13976, _u13977)) = hAPP(c_Relation_ORange(_u13976, _u13976), _u13977)) )).
% 19.53/19.78 cnf(matrix-6221, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13980, _u13980)), c_Transitive__Closure_Otrancl(_u13980, _u13982))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13980, _u13980)), _u13982)) )).
% 19.53/19.78 cnf(matrix-6222, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13981, _u13981)), _u13983)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13981, _u13981)), c_Transitive__Closure_Otrancl(_u13981, _u13983))) )).
% 19.53/19.78 cnf(matrix-6223, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13984, _u13984)), hAPP(hAPP(c_Product__Type_OPair(_u13984, _u13984), _u13985), _u13986)), c_Transitive__Closure_Otrancl(_u13984, _u13987))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13984, _u13984)), hAPP(hAPP(c_Product__Type_OPair(_u13984, _u13984), _u13986), _u13988)), c_Transitive__Closure_Otrancl(_u13984, _u13987))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13984, _u13984)), hAPP(hAPP(c_Product__Type_OPair(_u13984, _u13984), _u13985), _u13988)), c_Transitive__Closure_Otrancl(_u13984, _u13987))) )).
% 19.53/19.78 cnf(matrix-6224, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13989, _u13989)), hAPP(hAPP(c_Product__Type_OPair(_u13989, _u13989), _u13990), _u13991)), c_Transitive__Closure_Otrancl(_u13989, _u13992))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13989, _u13989)), hAPP(hAPP(c_Product__Type_OPair(_u13989, _u13989), _u13991), _u13993)), _u13992)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13989, _u13989)), hAPP(hAPP(c_Product__Type_OPair(_u13989, _u13989), _u13990), _u13993)), c_Transitive__Closure_Otrancl(_u13989, _u13992))) )).
% 19.53/19.78 cnf(matrix-6225, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13994, _u13994)), hAPP(hAPP(c_Product__Type_OPair(_u13994, _u13994), _u13995), _u13996)), _u13997)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13994, _u13994)), hAPP(hAPP(c_Product__Type_OPair(_u13994, _u13994), _u13996), _u13998)), c_Transitive__Closure_Otrancl(_u13994, _u13997))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13994, _u13994)), hAPP(hAPP(c_Product__Type_OPair(_u13994, _u13994), _u13995), _u13998)), c_Transitive__Closure_Otrancl(_u13994, _u13997))) )).
% 19.53/19.78 cnf(matrix-6226, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13999, _u13999)), hAPP(hAPP(c_Product__Type_OPair(_u13999, _u13999), _u14000), _u14001)), _u14002)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13999, _u13999)), hAPP(hAPP(c_Product__Type_OPair(_u13999, _u13999), _u14001), _u14003)), _u14002)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13999, _u13999)), hAPP(hAPP(c_Product__Type_OPair(_u13999, _u13999), _u14000), _u14003)), c_Transitive__Closure_Otrancl(_u13999, _u14002))) )).
% 19.53/19.78 cnf(matrix-6227, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14004, _u14004)), _u14005), c_Transitive__Closure_Otrancl(_u14004, _u14006))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14004, _u14004), tc_HOL_Obool)), _u14006), _u14007)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14004, _u14004)), _u14005), c_Transitive__Closure_Otrancl(_u14004, _u14007))) )).
% 19.53/19.78 cnf(matrix-6228, plain, ( ( c_Transitive__Closure_Otrancl(_u14008, _u14009) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14008, _u14008), tc_HOL_Obool)), _u14009), hAPP(hAPP(c_Relation_Orel__comp(_u14008, _u14008, _u14008), c_Transitive__Closure_Otrancl(_u14008, _u14009)), _u14009))) )).
% 19.53/19.78 cnf(matrix-6229, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14010, _u14010), tc_HOL_Obool)), _u14011), hAPP(hAPP(c_Product__Type_OSigma(_u14010, _u14010), _u14012), hAPP(c_COMBK(tc_fun(_u14010, tc_HOL_Obool), _u14010), _u14012)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14010, _u14010), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14010, _u14011)), hAPP(hAPP(c_Product__Type_OSigma(_u14010, _u14010), _u14012), hAPP(c_COMBK(tc_fun(_u14010, tc_HOL_Obool), _u14010), _u14012)))) )).
% 19.53/19.78 cnf(matrix-6230, plain, ( ( c_Transitive__Closure_Otrancl(_u14013, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14013, _u14013)), hAPP(hAPP(c_Product__Type_OPair(_u14013, _u14013), _u14014), _u14015)), _u14016)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14013, _u14013), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14013, _u14016)), hAPP(c_Set_OCollect(tc_prod(_u14013, _u14013)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14013, _u14013, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14013, tc_fun(_u14013, tc_HOL_Obool), tc_fun(_u14013, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u14013, tc_HOL_Obool), tc_fun(_u14013, tc_HOL_Obool)), _u14013), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u14013)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14013), c_fconj), hAPP(hAPP(c_COMBC(_u14013, tc_fun(tc_prod(_u14013, _u14013), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u14013, _u14013), tc_fun(tc_fun(tc_prod(_u14013, _u14013), tc_HOL_Obool), tc_HOL_Obool), _u14013), c_member(tc_prod(_u14013, _u14013))), hAPP(hAPP(c_COMBC(_u14013, _u14013, tc_prod(_u14013, _u14013)), c_Product__Type_OPair(_u14013, _u14013)), _u14014))), c_Transitive__Closure_Ortrancl(_u14013, _u14016))))), hAPP(hAPP(c_COMBC(_u14013, tc_fun(tc_prod(_u14013, _u14013), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u14013, _u14013), tc_fun(tc_fun(tc_prod(_u14013, _u14013), tc_HOL_Obool), tc_HOL_Obool), _u14013), c_member(tc_prod(_u14013, _u14013))), hAPP(c_Product__Type_OPair(_u14013, _u14013), _u14015))), c_Transitive__Closure_Ortrancl(_u14013, _u14016))))))) )).
% 19.53/19.78 cnf(matrix-6231, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14021, tc_fun(_u14021, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u14021, tc_fun(tc_prod(_u14021, _u14021), tc_HOL_Obool), tc_fun(_u14021, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14021, tc_fun(tc_fun(tc_prod(_u14021, _u14021), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14021, _u14021), tc_HOL_Obool), tc_fun(_u14021, tc_HOL_Obool)), _u14021), c_COMBC(_u14021, tc_fun(tc_prod(_u14021, _u14021), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14021, tc_prod(_u14021, _u14021)), tc_fun(_u14021, tc_fun(tc_fun(tc_prod(_u14021, _u14021), tc_HOL_Obool), tc_HOL_Obool)), _u14021), hAPP(c_COMBB(tc_prod(_u14021, _u14021), tc_fun(tc_fun(tc_prod(_u14021, _u14021), tc_HOL_Obool), tc_HOL_Obool), _u14021), c_member(tc_prod(_u14021, _u14021)))), c_Product__Type_OPair(_u14021, _u14021)))), _u14023)), c_fequal), _u14025), _u14027)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14021, _u14021)), hAPP(hAPP(c_Product__Type_OPair(_u14021, _u14021), _u14025), _u14027)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14021, _u14021), tc_HOL_Obool)), _u14023), c_Relation_OId(_u14021)))) )).
% 19.53/19.78 cnf(matrix-6232, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14022, _u14022)), hAPP(hAPP(c_Product__Type_OPair(_u14022, _u14022), _u14026), _u14028)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14022, _u14022), tc_HOL_Obool)), _u14024), c_Relation_OId(_u14022)))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14022, tc_fun(_u14022, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u14022, tc_fun(tc_prod(_u14022, _u14022), tc_HOL_Obool), tc_fun(_u14022, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14022, tc_fun(tc_fun(tc_prod(_u14022, _u14022), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14022, _u14022), tc_HOL_Obool), tc_fun(_u14022, tc_HOL_Obool)), _u14022), c_COMBC(_u14022, tc_fun(tc_prod(_u14022, _u14022), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14022, tc_prod(_u14022, _u14022)), tc_fun(_u14022, tc_fun(tc_fun(tc_prod(_u14022, _u14022), tc_HOL_Obool), tc_HOL_Obool)), _u14022), hAPP(c_COMBB(tc_prod(_u14022, _u14022), tc_fun(tc_fun(tc_prod(_u14022, _u14022), tc_HOL_Obool), tc_HOL_Obool), _u14022), c_member(tc_prod(_u14022, _u14022)))), c_Product__Type_OPair(_u14022, _u14022)))), _u14024)), c_fequal), _u14026), _u14028)) )).
% 19.53/19.78 cnf(matrix-6233, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14030, _u14030)), hAPP(hAPP(c_Product__Type_OPair(_u14030, _u14030), skolem357(_u14031, _u14030)), skolem357(_u14031, _u14030))), c_Transitive__Closure_Otrancl(_u14030, _u14031))) | c_Wellfounded_Oacyclic(_u14030, _u14031) )).
% 19.53/19.78 cnf(matrix-6234, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14032, _u14032)), _u14033), _u14034)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14032, _u14032)), _u14033), c_Transitive__Closure_Ortrancl(_u14032, _u14034))) )).
% 19.53/19.78 cnf(matrix-6235, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14035, _u14035)), hAPP(hAPP(c_Product__Type_OPair(_u14035, _u14035), _u14036), _u14036)), c_Transitive__Closure_Ortrancl(_u14035, _u14037))) )).
% 19.53/19.78 cnf(matrix-6236, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14038, _u14038)), hAPP(hAPP(c_Product__Type_OPair(_u14038, _u14038), _u14039), _u14039)), c_Relation_OId(_u14038))) )).
% 19.53/19.78 cnf(matrix-6237, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14040, _u14040)), hAPP(hAPP(c_Product__Type_OPair(_u14040, _u14040), _u14041), _u14042)), c_Transitive__Closure_Otrancl(_u14040, _u14043))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14040, _u14040)), hAPP(hAPP(c_Product__Type_OPair(_u14040, _u14040), _u14041), _u14042)), c_Transitive__Closure_Ortrancl(_u14040, _u14043))) )).
% 19.53/19.78 cnf(matrix-6238, plain, ( ( c_Transitive__Closure_Otrancl(_u14044, _u14045) = hAPP(hAPP(c_Relation_Orel__comp(_u14044, _u14044, _u14044), c_Transitive__Closure_Ortrancl(_u14044, _u14045)), _u14045)) )).
% 19.53/19.78 cnf(matrix-6239, plain, ( ( c_Transitive__Closure_Otrancl(_u14046, _u14047) = hAPP(hAPP(c_Relation_Orel__comp(_u14046, _u14046, _u14046), _u14047), c_Transitive__Closure_Ortrancl(_u14046, _u14047))) )).
% 19.53/19.78 cnf(matrix-6240, plain, ( ( c_Transitive__Closure_Otrancl(_u14048, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14048, _u14048), tc_HOL_Obool)), _u14049), c_Relation_OId(_u14048))) = c_Transitive__Closure_Ortrancl(_u14048, _u14049)) )).
% 19.53/19.78 cnf(matrix-6241, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14050, _u14050), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u14050, _u14051)), c_Relation_OId(_u14050)) = c_Transitive__Closure_Ortrancl(_u14050, _u14051)) )).
% 19.53/19.78 cnf(matrix-6242, plain, ( ( c_Transitive__Closure_Ortrancl(_u14052, c_Transitive__Closure_Otrancl(_u14052, _u14053)) = c_Transitive__Closure_Ortrancl(_u14052, _u14053)) )).
% 19.53/19.78 cnf(matrix-6243, plain, ( ( c_Transitive__Closure_Otrancl(_u14054, c_Transitive__Closure_Ortrancl(_u14054, _u14055)) = c_Transitive__Closure_Ortrancl(_u14054, _u14055)) )).
% 19.53/19.78 cnf(matrix-6244, plain, ( ( hAPP(c_Relation_ODomain(_u14056, _u14056), c_Transitive__Closure_Ortrancl(_u14056, _u14057)) = c_Orderings_Otop__class_Otop(tc_fun(_u14056, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-6245, plain, ( ( hAPP(c_Relation_ORange(_u14058, _u14058), c_Transitive__Closure_Ortrancl(_u14058, _u14059)) = c_Orderings_Otop__class_Otop(tc_fun(_u14058, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-6246, plain, ( c_Relation_Orefl__on(_u14060, c_Orderings_Otop__class_Otop(tc_fun(_u14060, tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14060, _u14061)) )).
% 19.53/19.78 cnf(matrix-6247, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14062, _u14062)), hAPP(hAPP(c_Product__Type_OPair(_u14062, _u14062), _u14063), _u14064)), c_Transitive__Closure_Ortrancl(_u14062, _u14065))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14062, _u14062)), hAPP(hAPP(c_Product__Type_OPair(_u14062, _u14062), _u14064), _u14066)), c_Transitive__Closure_Ortrancl(_u14062, _u14065))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14062, _u14062)), hAPP(hAPP(c_Product__Type_OPair(_u14062, _u14062), _u14063), _u14066)), c_Transitive__Closure_Ortrancl(_u14062, _u14065))) )).
% 19.53/19.78 cnf(matrix-6248, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14067, _u14067)), hAPP(hAPP(c_Product__Type_OPair(_u14067, _u14067), _u14068), _u14069)), c_Transitive__Closure_Ortrancl(_u14067, _u14070))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14067, _u14067)), hAPP(hAPP(c_Product__Type_OPair(_u14067, _u14067), _u14069), _u14071)), _u14070)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14067, _u14067)), hAPP(hAPP(c_Product__Type_OPair(_u14067, _u14067), _u14068), _u14071)), c_Transitive__Closure_Ortrancl(_u14067, _u14070))) )).
% 19.53/19.78 cnf(matrix-6249, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14072, _u14072)), hAPP(hAPP(c_Product__Type_OPair(_u14072, _u14072), _u14073), _u14074)), _u14075)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14072, _u14072)), hAPP(hAPP(c_Product__Type_OPair(_u14072, _u14072), _u14074), _u14076)), c_Transitive__Closure_Ortrancl(_u14072, _u14075))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14072, _u14072)), hAPP(hAPP(c_Product__Type_OPair(_u14072, _u14072), _u14073), _u14076)), c_Transitive__Closure_Ortrancl(_u14072, _u14075))) )).
% 19.53/19.78 cnf(matrix-6250, plain, ( ( c_Transitive__Closure_Ortrancl(_u14077, c_Transitive__Closure_Ortrancl(_u14077, _u14078)) = c_Transitive__Closure_Ortrancl(_u14077, _u14078)) )).
% 19.53/19.78 cnf(matrix-6251, plain, ( ( c_Transitive__Closure_Ortrancl(_u14079, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14079, _u14079), tc_HOL_Obool)), _u14080), c_Relation_OId(_u14079))) = c_Transitive__Closure_Ortrancl(_u14079, _u14080)) )).
% 19.53/19.78 cnf(matrix-6252, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14081, _u14081), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14081, _u14082)), c_Relation_OId(_u14081)) = c_Transitive__Closure_Ortrancl(_u14081, _u14082)) )).
% 19.53/19.78 cnf(matrix-6253, plain, ( ( c_Transitive__Closure_Ortrancl(_u14083, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14083, _u14083), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14083, _u14084)), c_Transitive__Closure_Ortrancl(_u14083, _u14085))) = c_Transitive__Closure_Ortrancl(_u14083, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14083, _u14083), tc_HOL_Obool)), _u14084), _u14085))) )).
% 19.53/19.78 cnf(matrix-6254, plain, ( ( c_Transitive__Closure_Ortrancl(_u14086, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14086, _u14086), tc_HOL_Obool)), _u14087), c_Relation_OId(_u14086))) = c_Transitive__Closure_Ortrancl(_u14086, _u14087)) )).
% 19.53/19.78 cnf(matrix-6255, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14088, _u14088), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14088, _u14088), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14088, _u14089)), c_Transitive__Closure_Ortrancl(_u14088, _u14090))), c_Transitive__Closure_Ortrancl(_u14088, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14088, _u14088), tc_HOL_Obool)), _u14089), _u14090)))) )).
% 19.53/19.78 cnf(matrix-6256, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14091, _u14091), tc_HOL_Obool)), _u14092), _u14093)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14091, _u14091), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14091, _u14092)), c_Transitive__Closure_Ortrancl(_u14091, _u14093))) )).
% 19.53/19.78 cnf(matrix-6257, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14094, _u14094), tc_HOL_Obool)), _u14095), _u14096)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14094, _u14094), tc_HOL_Obool)), _u14096), c_Transitive__Closure_Ortrancl(_u14094, _u14095))) | ( c_Transitive__Closure_Ortrancl(_u14094, _u14096) = c_Transitive__Closure_Ortrancl(_u14094, _u14095)) )).
% 19.53/19.78 cnf(matrix-6258, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14097, _u14097), tc_HOL_Obool)), _u14098), c_Transitive__Closure_Ortrancl(_u14097, _u14099))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14097, _u14097), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14097, _u14098)), c_Transitive__Closure_Ortrancl(_u14097, _u14099))) )).
% 19.53/19.78 cnf(matrix-6259, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14100, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14100, _u14100, _u14101), _u14102)), _u14102)) | ( hAPP(c_Relation_OImage(_u14100, _u14100, c_Transitive__Closure_Ortrancl(_u14100, _u14101)), _u14102) = _u14102) )).
% 19.53/19.78 cnf(matrix-6260, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14103, _u14103)), _u14104), c_Transitive__Closure_Ortrancl(_u14103, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14103, _u14103), tc_HOL_Obool)), _u14105), _u14106)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14103, _u14103)), _u14104), c_Transitive__Closure_Ortrancl(_u14103, _u14105))) )).
% 19.53/19.78 cnf(matrix-6261, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14103, _u14103)), _u14104), c_Transitive__Closure_Ortrancl(_u14103, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14103, _u14103), tc_HOL_Obool)), _u14105), _u14106)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14103, _u14103)), _u14104), c_Transitive__Closure_Ortrancl(_u14103, _u14106))) )).
% 19.53/19.78 cnf(matrix-6262, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14107, _u14107, _u14107), _u14108), c_Transitive__Closure_Ortrancl(_u14107, _u14108)) = hAPP(hAPP(c_Relation_Orel__comp(_u14107, _u14107, _u14107), c_Transitive__Closure_Ortrancl(_u14107, _u14108)), _u14108)) )).
% 19.53/19.78 cnf(matrix-6263, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14109, _u14109, _u14109), c_Transitive__Closure_Ortrancl(_u14109, _u14110)), c_Transitive__Closure_Ortrancl(_u14109, _u14110)) = c_Transitive__Closure_Ortrancl(_u14109, _u14110)) )).
% 19.53/19.78 cnf(matrix-6264, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14111, _u14111), tc_HOL_Obool)), c_Relation_OId(_u14111)), _u14112)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14111, _u14111), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u14111, _u14111, _u14111), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14111, _u14111), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14111, _u14113)), _u14112)), _u14113)), _u14112)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14111, _u14111), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u14111, _u14113)), _u14112)) )).
% 19.53/19.78 cnf(matrix-6265, plain, ( ( c_Transitive__Closure_Ortrancl(_u14114, _u14115) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14114, _u14114), tc_HOL_Obool)), c_Relation_OId(_u14114)), hAPP(hAPP(c_Relation_Orel__comp(_u14114, _u14114, _u14114), c_Transitive__Closure_Ortrancl(_u14114, _u14115)), _u14115))) )).
% 19.53/19.78 cnf(matrix-6266, plain, ( ( c_Transitive__Closure_Ortrancl(_u14116, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14116, _u14116), tc_HOL_Obool))) = c_Relation_OId(_u14116)) )).
% 19.53/19.78 cnf(matrix-6267, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14117, _u14117, _u14118), c_Relation_OId(_u14117)), _u14119) = _u14119) )).
% 19.53/19.78 cnf(matrix-6268, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14120, _u14121, _u14121), _u14122), c_Relation_OId(_u14121)) = _u14122) )).
% 19.53/19.78 cnf(matrix-6269, plain, ( ( hAPP(c_Relation_OImage(_u14123, _u14123, c_Relation_OId(_u14123)), _u14124) = _u14124) )).
% 19.53/19.78 cnf(matrix-6270, plain, ( ( _u14130 = _u14132) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14128, _u14128)), hAPP(hAPP(c_Product__Type_OPair(_u14128, _u14128), _u14130), _u14132)), c_Relation_OId(_u14128))) )).
% 19.53/19.78 cnf(matrix-6271, plain, ( ( _u14131 != _u14133) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14129, _u14129)), hAPP(hAPP(c_Product__Type_OPair(_u14129, _u14129), _u14131), _u14133)), c_Relation_OId(_u14129))) )).
% 19.53/19.78 cnf(matrix-6272, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14134, _u14134)), hAPP(hAPP(c_Product__Type_OPair(_u14134, _u14134), _u14135), _u14136)), c_Transitive__Closure_Ortrancl(_u14134, _u14137))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14134, _u14134)), hAPP(hAPP(c_Product__Type_OPair(_u14134, _u14134), _u14136), _u14138)), c_Transitive__Closure_Otrancl(_u14134, _u14137))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14134, _u14134)), hAPP(hAPP(c_Product__Type_OPair(_u14134, _u14134), _u14135), _u14138)), c_Transitive__Closure_Otrancl(_u14134, _u14137))) )).
% 19.53/19.78 cnf(matrix-6273, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14139, _u14139)), hAPP(hAPP(c_Product__Type_OPair(_u14139, _u14139), _u14140), _u14141)), c_Transitive__Closure_Otrancl(_u14139, _u14142))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14139, _u14139)), hAPP(hAPP(c_Product__Type_OPair(_u14139, _u14139), _u14141), _u14143)), c_Transitive__Closure_Ortrancl(_u14139, _u14142))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14139, _u14139)), hAPP(hAPP(c_Product__Type_OPair(_u14139, _u14139), _u14140), _u14143)), c_Transitive__Closure_Otrancl(_u14139, _u14142))) )).
% 19.53/19.78 cnf(matrix-6274, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14144, _u14144)), hAPP(hAPP(c_Product__Type_OPair(_u14144, _u14144), _u14145), _u14146)), c_Transitive__Closure_Ortrancl(_u14144, _u14147))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14144, _u14144)), hAPP(hAPP(c_Product__Type_OPair(_u14144, _u14144), _u14146), _u14148)), _u14147)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14144, _u14144)), hAPP(hAPP(c_Product__Type_OPair(_u14144, _u14144), _u14145), _u14148)), c_Transitive__Closure_Otrancl(_u14144, _u14147))) )).
% 19.53/19.78 cnf(matrix-6275, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14149, _u14149)), hAPP(hAPP(c_Product__Type_OPair(_u14149, _u14149), _u14150), _u14151)), c_Transitive__Closure_Ortrancl(_u14149, _u14152))) | ( _u14150 = _u14151) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14149, _u14149)), hAPP(hAPP(c_Product__Type_OPair(_u14149, _u14149), _u14150), _u14151)), c_Transitive__Closure_Otrancl(_u14149, _u14152))) )).
% 19.53/19.78 cnf(matrix-6276, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14153, _u14153)), hAPP(hAPP(c_Product__Type_OPair(_u14153, _u14153), _u14154), _u14155)), _u14156)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14153, _u14153)), hAPP(hAPP(c_Product__Type_OPair(_u14153, _u14153), _u14155), _u14157)), c_Transitive__Closure_Ortrancl(_u14153, _u14156))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14153, _u14153)), hAPP(hAPP(c_Product__Type_OPair(_u14153, _u14153), _u14154), _u14157)), c_Transitive__Closure_Otrancl(_u14153, _u14156))) )).
% 19.53/19.78 cnf(matrix-6277, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14162, _u14162)), hAPP(hAPP(c_Product__Type_OPair(_u14162, _u14162), _u14164), _u14166)), c_Transitive__Closure_Ortrancl(_u14162, _u14168))) | ( _u14164 = _u14166) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14162, _u14162)), hAPP(hAPP(c_Product__Type_OPair(_u14162, _u14162), _u14164), _u14166)), c_Transitive__Closure_Otrancl(_u14162, _u14168))) )).
% 19.53/19.78 cnf(matrix-6278, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14163, _u14163)), hAPP(hAPP(c_Product__Type_OPair(_u14163, _u14163), _u14165), _u14167)), c_Transitive__Closure_Ortrancl(_u14163, _u14169))) | ( _u14165 != _u14167) )).
% 19.53/19.78 cnf(matrix-6279, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14163, _u14163)), hAPP(hAPP(c_Product__Type_OPair(_u14163, _u14163), _u14165), _u14167)), c_Transitive__Closure_Ortrancl(_u14163, _u14169))) | ( _u14165 = _u14167) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14163, _u14163)), hAPP(hAPP(c_Product__Type_OPair(_u14163, _u14163), _u14165), _u14167)), c_Transitive__Closure_Otrancl(_u14163, _u14169))) )).
% 19.53/19.78 cnf(matrix-6280, plain, ( ( hAPP(c_Relation_ODomain(_u14170, _u14170), c_Relation_OId(_u14170)) = c_Orderings_Otop__class_Otop(tc_fun(_u14170, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-6281, plain, ( ( hAPP(c_Relation_ORange(_u14171, _u14171), c_Relation_OId(_u14171)) = c_Orderings_Otop__class_Otop(tc_fun(_u14171, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-6282, plain, ( c_Relation_Orefl__on(_u14172, c_Orderings_Otop__class_Otop(tc_fun(_u14172, tc_HOL_Obool)), c_Relation_OId(_u14172)) )).
% 19.53/19.78 cnf(matrix-6283, plain, ( ( c_FunDef_Opair__leq = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_prod(tc_Nat_Onat, tc_Nat_Onat)), tc_HOL_Obool)), c_FunDef_Opair__less), c_Relation_OId(tc_prod(tc_Nat_Onat, tc_Nat_Onat)))) )).
% 19.53/19.78 cnf(matrix-6284, plain, ( hBOOL(hAPP(hAPP(c_member(_u14173), _u14174), hAPP(c_Relation_ODomain(_u14173, _u14173), _u14175))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14173, _u14173)), hAPP(hAPP(c_Product__Type_OPair(_u14173, _u14173), _u14174), _u14176)), c_Transitive__Closure_Ortrancl(_u14173, _u14175))) | ( _u14174 = _u14176) )).
% 19.53/19.78 cnf(matrix-6285, plain, ( hBOOL(hAPP(hAPP(c_member(_u14173), _u14174), hAPP(c_Relation_ODomain(_u14173, _u14173), _u14175))) | ( _u14174 != _u14176) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14173, _u14173)), hAPP(hAPP(c_Product__Type_OPair(_u14173, _u14173), _u14174), _u14176)), c_Transitive__Closure_Ortrancl(_u14173, _u14175))) )).
% 19.53/19.78 cnf(matrix-6286, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14177), _u14178), c_Wellfounded_Oacc(_u14177, _u14179))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14177, _u14177)), hAPP(hAPP(c_Product__Type_OPair(_u14177, _u14177), _u14180), _u14178)), c_Transitive__Closure_Ortrancl(_u14177, _u14179))) | hBOOL(hAPP(hAPP(c_member(_u14177), _u14180), c_Wellfounded_Oacc(_u14177, _u14179))) )).
% 19.53/19.78 cnf(matrix-6287, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14181, _u14181)), hAPP(hAPP(c_Product__Type_OPair(_u14181, _u14181), _u14182), _u14183)), c_Transitive__Closure_Ortrancl(_u14181, _u14184))) | ~hBOOL(hAPP(hAPP(c_member(_u14181), _u14183), c_Wellfounded_Oacc(_u14181, _u14184))) | hBOOL(hAPP(hAPP(c_member(_u14181), _u14182), c_Wellfounded_Oacc(_u14181, _u14184))) )).
% 19.53/19.78 cnf(matrix-6288, plain, ( ~c_Wellfounded_Owf(_u14189, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14189, _u14189)), hAPP(hAPP(c_Product__Type_OPair(_u14189, _u14189), _u14191), _u14193)), _u14195)) | c_Wellfounded_Owf(_u14189, _u14195) )).
% 19.53/19.78 cnf(matrix-6289, plain, ( ~c_Wellfounded_Owf(_u14189, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14189, _u14189)), hAPP(hAPP(c_Product__Type_OPair(_u14189, _u14189), _u14191), _u14193)), _u14195)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14189, _u14189)), hAPP(hAPP(c_Product__Type_OPair(_u14189, _u14189), _u14193), _u14191)), c_Transitive__Closure_Ortrancl(_u14189, _u14195))) )).
% 19.53/19.78 cnf(matrix-6290, plain, ( ~c_Wellfounded_Owf(_u14190, _u14196) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14190, _u14190)), hAPP(hAPP(c_Product__Type_OPair(_u14190, _u14190), _u14194), _u14192)), c_Transitive__Closure_Ortrancl(_u14190, _u14196))) | c_Wellfounded_Owf(_u14190, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14190, _u14190)), hAPP(hAPP(c_Product__Type_OPair(_u14190, _u14190), _u14192), _u14194)), _u14196)) )).
% 19.53/19.78 cnf(matrix-6291, plain, ( ~c_Wellfounded_Oacyclic(_u14201, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14201, _u14201)), hAPP(hAPP(c_Product__Type_OPair(_u14201, _u14201), _u14203), _u14205)), _u14207)) | c_Wellfounded_Oacyclic(_u14201, _u14207) )).
% 19.53/19.78 cnf(matrix-6292, plain, ( ~c_Wellfounded_Oacyclic(_u14201, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14201, _u14201)), hAPP(hAPP(c_Product__Type_OPair(_u14201, _u14201), _u14203), _u14205)), _u14207)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14201, _u14201)), hAPP(hAPP(c_Product__Type_OPair(_u14201, _u14201), _u14205), _u14203)), c_Transitive__Closure_Ortrancl(_u14201, _u14207))) )).
% 19.53/19.78 cnf(matrix-6293, plain, ( ~c_Wellfounded_Oacyclic(_u14202, _u14208) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14202, _u14202)), hAPP(hAPP(c_Product__Type_OPair(_u14202, _u14202), _u14206), _u14204)), c_Transitive__Closure_Ortrancl(_u14202, _u14208))) | c_Wellfounded_Oacyclic(_u14202, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u14202, _u14202)), hAPP(hAPP(c_Product__Type_OPair(_u14202, _u14202), _u14204), _u14206)), _u14208)) )).
% 19.53/19.78 cnf(matrix-6294, plain, ( c_Relation_Orefl__on(_u14209, c_Orderings_Otop__class_Otop(tc_fun(_u14209, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14209, _u14209), tc_HOL_Obool)), _u14210), c_Relation_OId(_u14209))) )).
% 19.53/19.78 cnf(matrix-6295, plain, ( ( c_Relation_OId(_u14211) = hAPP(c_Set_OCollect(tc_prod(_u14211, _u14211)), hAPP(hAPP(c_COMBB(tc_fun(_u14211, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u14211, _u14211)), c_HOL_OEx(_u14211)), hAPP(hAPP(c_COMBC(tc_prod(_u14211, _u14211), tc_fun(_u14211, tc_prod(_u14211, _u14211)), tc_fun(_u14211, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14211, _u14211), tc_HOL_Obool), tc_fun(tc_fun(_u14211, tc_prod(_u14211, _u14211)), tc_fun(_u14211, tc_HOL_Obool)), tc_prod(_u14211, _u14211)), c_COMBB(tc_prod(_u14211, _u14211), tc_HOL_Obool, _u14211)), c_fequal)), hAPP(hAPP(c_COMBS(_u14211, _u14211, tc_prod(_u14211, _u14211)), c_Product__Type_OPair(_u14211, _u14211)), c_COMBI(_u14211)))))) )).
% 19.53/19.78 cnf(matrix-6296, plain, ( c_Relation_Oirrefl(_u14212, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14212, _u14212), tc_HOL_Obool)), _u14213), c_Relation_OId(_u14212))) )).
% 19.53/19.78 cnf(matrix-6297, plain, ( ~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), _u14216), _u14218)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14216), _u14218)) )).
% 19.53/19.78 cnf(matrix-6298, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14217), _u14219)) | 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), _u14217), _u14219)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 19.53/19.78 cnf(matrix-6299, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14220, _u14220)), hAPP(hAPP(c_Product__Type_OPair(_u14220, _u14220), _u14221), _u14222)), c_Transitive__Closure_Ortrancl(_u14220, _u14223))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14220, _u14220), tc_HOL_Obool)), _u14223), hAPP(hAPP(c_Product__Type_OSigma(_u14220, _u14220), _u14224), hAPP(c_COMBK(tc_fun(_u14220, tc_HOL_Obool), _u14220), _u14224)))) | ( _u14221 = _u14222) | hBOOL(hAPP(hAPP(c_member(_u14220), _u14221), _u14224)) )).
% 19.53/19.78 cnf(matrix-6300, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14225, _u14225), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u14225, _u14225), _u14226)), c_Transitive__Closure_Ortrancl(_u14225, _u14226)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14225, _u14225), tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14225, _u14225)), hAPP(hAPP(c_Product__Type_OPair(_u14225, _u14225), _u14227), _u14227)), c_Transitive__Closure_Otrancl(_u14225, _u14226))) )).
% 19.53/19.78 cnf(matrix-6301, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14229, _u14229)), hAPP(hAPP(c_Product__Type_OPair(_u14229, _u14229), hAPP(_u14230, hAPP(c_Nat_OSuc, skolem358(_u14233, _u14232, _u14231, _u14230, _u14229)))), hAPP(_u14230, skolem358(_u14233, _u14232, _u14231, _u14230, _u14229)))), c_Transitive__Closure_Ortrancl(_u14229, _u14231))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14229, _u14229)), hAPP(hAPP(c_Product__Type_OPair(_u14229, _u14229), hAPP(_u14230, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14232), _u14233))), hAPP(_u14230, _u14232))), c_Transitive__Closure_Ortrancl(_u14229, _u14231))) )).
% 19.53/19.78 cnf(matrix-6302, plain, ( ~c_Relation_Ototal__on(_u14237, _u14239, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14237, _u14237), tc_HOL_Obool)), _u14241), c_Relation_OId(_u14237))) | c_Relation_Ototal__on(_u14237, _u14239, _u14241) )).
% 19.53/19.78 cnf(matrix-6303, plain, ( ~c_Relation_Ototal__on(_u14238, _u14240, _u14242) | c_Relation_Ototal__on(_u14238, _u14240, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14238, _u14238), tc_HOL_Obool)), _u14242), c_Relation_OId(_u14238))) )).
% 19.53/19.78 cnf(matrix-6304, plain, ( ( c_Transitive__Closure_Ortrancl(_u14243, hAPP(c_Relation_Oconverse(_u14243, _u14243), _u14244)) = hAPP(c_Relation_Oconverse(_u14243, _u14243), c_Transitive__Closure_Ortrancl(_u14243, _u14244))) )).
% 19.53/19.78 cnf(matrix-6305, plain, ( ( hAPP(c_Relation_Oconverse(_u14245, _u14245), c_Relation_OId(_u14245)) = c_Relation_OId(_u14245)) )).
% 19.53/19.78 cnf(matrix-6306, plain, ( ~c_Wellfounded_Oacyclic(_u14248, hAPP(c_Relation_Oconverse(_u14248, _u14248), _u14250)) | c_Wellfounded_Oacyclic(_u14248, _u14250) )).
% 19.53/19.78 cnf(matrix-6307, plain, ( ~c_Wellfounded_Oacyclic(_u14249, _u14251) | c_Wellfounded_Oacyclic(_u14249, hAPP(c_Relation_Oconverse(_u14249, _u14249), _u14251)) )).
% 19.53/19.78 cnf(matrix-6308, plain, ( ~c_Relation_Orefl__on(_u14255, _u14257, hAPP(c_Relation_Oconverse(_u14255, _u14255), _u14259)) | c_Relation_Orefl__on(_u14255, _u14257, _u14259) )).
% 19.53/19.78 cnf(matrix-6309, plain, ( ~c_Relation_Orefl__on(_u14256, _u14258, _u14260) | c_Relation_Orefl__on(_u14256, _u14258, hAPP(c_Relation_Oconverse(_u14256, _u14256), _u14260)) )).
% 19.53/19.78 cnf(matrix-6310, plain, ( ( hAPP(c_Relation_Oconverse(_u14261, _u14261), hAPP(hAPP(c_Relation_Oinv__image(_u14262, _u14261), _u14263), _u14264)) = hAPP(hAPP(c_Relation_Oinv__image(_u14262, _u14261), hAPP(c_Relation_Oconverse(_u14262, _u14262), _u14263)), _u14264)) )).
% 19.53/19.78 cnf(matrix-6311, plain, ( ( hAPP(c_Relation_OField(_u14265), hAPP(c_Relation_Oconverse(_u14265, _u14265), _u14266)) = hAPP(c_Relation_OField(_u14265), _u14266)) )).
% 19.53/19.78 cnf(matrix-6312, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14270, _u14272)), hAPP(c_Relation_Oconverse(_u14272, _u14270), _u14274))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14272, _u14270)), _u14274)) )).
% 19.53/19.78 cnf(matrix-6313, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14273, _u14271)), _u14275)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14271, _u14273)), hAPP(c_Relation_Oconverse(_u14273, _u14271), _u14275))) )).
% 19.53/19.78 cnf(matrix-6314, plain, ( ~c_Relation_Ototal__on(_u14279, _u14281, hAPP(c_Relation_Oconverse(_u14279, _u14279), _u14283)) | c_Relation_Ototal__on(_u14279, _u14281, _u14283) )).
% 19.53/19.78 cnf(matrix-6315, plain, ( ~c_Relation_Ototal__on(_u14280, _u14282, _u14284) | c_Relation_Ototal__on(_u14280, _u14282, hAPP(c_Relation_Oconverse(_u14280, _u14280), _u14284)) )).
% 19.53/19.78 cnf(matrix-6316, plain, ( ( hAPP(c_Relation_Oconverse(_u14285, _u14286), hAPP(c_Relation_Oconverse(_u14286, _u14285), _u14287)) = _u14287) )).
% 19.53/19.78 cnf(matrix-6317, plain, ( ( hAPP(c_Relation_Oconverse(_u14288, _u14288), c_Relation_OId__on(_u14288, _u14289)) = c_Relation_OId__on(_u14288, _u14289)) )).
% 19.53/19.78 cnf(matrix-6318, plain, ( ( hAPP(c_Relation_Oconverse(_u14290, _u14291), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14290, _u14291), tc_HOL_Obool)), _u14292), _u14293)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14291, _u14290), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u14290, _u14291), _u14292)), hAPP(c_Relation_Oconverse(_u14290, _u14291), _u14293))) )).
% 19.53/19.78 cnf(matrix-6319, plain, ( ( hAPP(c_Relation_Oconverse(_u14294, _u14295), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14294, _u14295), tc_HOL_Obool)), _u14296), _u14297)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14295, _u14294), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u14294, _u14295), _u14296)), hAPP(c_Relation_Oconverse(_u14294, _u14295), _u14297))) )).
% 19.53/19.78 cnf(matrix-6320, plain, ( ( hAPP(c_Relation_Oconverse(_u14298, _u14299), hAPP(hAPP(c_Relation_Orel__comp(_u14298, _u14300, _u14299), _u14301), _u14302)) = hAPP(hAPP(c_Relation_Orel__comp(_u14299, _u14300, _u14298), hAPP(c_Relation_Oconverse(_u14300, _u14299), _u14302)), hAPP(c_Relation_Oconverse(_u14298, _u14300), _u14301))) )).
% 19.53/19.78 cnf(matrix-6321, plain, ( ( hAPP(c_Relation_Oconverse(_u14303, _u14304), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14305, tc_fun(tc_prod(_u14303, _u14304), tc_HOL_Obool)), _u14306), _u14307)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14305, tc_fun(tc_prod(_u14304, _u14303), tc_HOL_Obool)), _u14306), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14303, _u14304), tc_HOL_Obool), tc_fun(tc_prod(_u14304, _u14303), tc_HOL_Obool), _u14305), c_Relation_Oconverse(_u14303, _u14304)), _u14307))) )).
% 19.53/19.78 cnf(matrix-6322, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14308, _u14309)), hAPP(hAPP(c_Product__Type_OPair(_u14308, _u14309), _u14310), _u14311)), hAPP(c_Relation_Oconverse(_u14309, _u14308), _u14312))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14309, _u14308)), hAPP(hAPP(c_Product__Type_OPair(_u14309, _u14308), _u14311), _u14310)), _u14312)) )).
% 19.53/19.78 cnf(matrix-6323, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14313, _u14314)), hAPP(hAPP(c_Product__Type_OPair(_u14313, _u14314), _u14315), _u14316)), _u14317)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14314, _u14313)), hAPP(hAPP(c_Product__Type_OPair(_u14314, _u14313), _u14316), _u14315)), hAPP(c_Relation_Oconverse(_u14313, _u14314), _u14317))) )).
% 19.53/19.78 cnf(matrix-6324, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14323, _u14325)), hAPP(hAPP(c_Product__Type_OPair(_u14323, _u14325), _u14327), _u14329)), hAPP(c_Relation_Oconverse(_u14325, _u14323), _u14331))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14325, _u14323)), hAPP(hAPP(c_Product__Type_OPair(_u14325, _u14323), _u14329), _u14327)), _u14331)) )).
% 19.53/19.78 cnf(matrix-6325, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14326, _u14324)), hAPP(hAPP(c_Product__Type_OPair(_u14326, _u14324), _u14330), _u14328)), _u14332)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14324, _u14326)), hAPP(hAPP(c_Product__Type_OPair(_u14324, _u14326), _u14328), _u14330)), hAPP(c_Relation_Oconverse(_u14326, _u14324), _u14332))) )).
% 19.53/19.78 cnf(matrix-6326, plain, ( ( hAPP(c_Relation_Oconverse(_u14333, _u14334), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14335, tc_fun(tc_prod(_u14333, _u14334), tc_HOL_Obool)), _u14336), _u14337)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14335, tc_fun(tc_prod(_u14334, _u14333), tc_HOL_Obool)), _u14336), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14333, _u14334), tc_HOL_Obool), tc_fun(tc_prod(_u14334, _u14333), tc_HOL_Obool), _u14335), c_Relation_Oconverse(_u14333, _u14334)), _u14337))) )).
% 19.53/19.78 cnf(matrix-6327, plain, ( ( c_Transitive__Closure_Otrancl(_u14338, hAPP(c_Relation_Oconverse(_u14338, _u14338), _u14339)) = hAPP(c_Relation_Oconverse(_u14338, _u14338), c_Transitive__Closure_Otrancl(_u14338, _u14339))) )).
% 19.53/19.78 cnf(matrix-6328, plain, ( ~c_Wellfounded_Owf(_u14340, hAPP(c_Relation_Oconverse(_u14340, _u14340), _u14341)) | c_Wellfounded_Owf(_u14340, hAPP(c_Relation_Oconverse(_u14340, _u14340), c_Transitive__Closure_Otrancl(_u14340, _u14341))) )).
% 19.53/19.78 cnf(matrix-6329, plain, ( ~c_Equiv__Relations_Oequiv(_u14342, _u14343, _u14344) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14342, _u14342, _u14342), hAPP(c_Relation_Oconverse(_u14342, _u14342), _u14344)), _u14344) = _u14344) )).
% 19.53/19.78 cnf(matrix-6330, plain, ( ( hAPP(c_Relation_ORange(_u14345, _u14346), hAPP(c_Relation_Oconverse(_u14346, _u14345), _u14347)) = hAPP(c_Relation_ODomain(_u14346, _u14345), _u14347)) )).
% 19.53/19.78 cnf(matrix-6331, plain, ( ( hAPP(c_Relation_ODomain(_u14348, _u14349), hAPP(c_Relation_Oconverse(_u14349, _u14348), _u14350)) = hAPP(c_Relation_ORange(_u14349, _u14348), _u14350)) )).
% 19.53/19.78 cnf(matrix-6332, plain, ( ( hAPP(c_Relation_ORange(_u14351, _u14352), _u14353) = hAPP(c_Relation_ODomain(_u14352, _u14351), hAPP(c_Relation_Oconverse(_u14351, _u14352), _u14353))) )).
% 19.53/19.78 cnf(matrix-6333, plain, ( c_Relation_Ototal__on(_u14354, c_Orderings_Obot__class_Obot(tc_fun(_u14354, tc_HOL_Obool)), _u14355) )).
% 19.53/19.78 cnf(matrix-6334, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14356, _u14356)), hAPP(hAPP(c_Product__Type_OPair(_u14356, _u14356), _u14357), _u14358)), c_Transitive__Closure_Ortrancl(_u14356, _u14359))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14356, _u14356)), hAPP(hAPP(c_Product__Type_OPair(_u14356, _u14356), _u14358), _u14357)), c_Transitive__Closure_Ortrancl(_u14356, hAPP(c_Relation_Oconverse(_u14356, _u14356), _u14359)))) )).
% 19.53/19.78 cnf(matrix-6335, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14360, _u14360)), hAPP(hAPP(c_Product__Type_OPair(_u14360, _u14360), _u14361), _u14362)), c_Transitive__Closure_Ortrancl(_u14360, hAPP(c_Relation_Oconverse(_u14360, _u14360), _u14363)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14360, _u14360)), hAPP(hAPP(c_Product__Type_OPair(_u14360, _u14360), _u14362), _u14361)), c_Transitive__Closure_Ortrancl(_u14360, _u14363))) )).
% 19.53/19.78 cnf(matrix-6336, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14364, _u14364)), hAPP(hAPP(c_Product__Type_OPair(_u14364, _u14364), _u14365), _u14366)), hAPP(c_Relation_Oconverse(_u14364, _u14364), c_Transitive__Closure_Otrancl(_u14364, _u14367)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14364, _u14364)), hAPP(hAPP(c_Product__Type_OPair(_u14364, _u14364), _u14365), _u14366)), c_Transitive__Closure_Otrancl(_u14364, hAPP(c_Relation_Oconverse(_u14364, _u14364), _u14367)))) )).
% 19.53/19.78 cnf(matrix-6337, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14368, _u14368)), hAPP(hAPP(c_Product__Type_OPair(_u14368, _u14368), _u14369), _u14370)), c_Transitive__Closure_Otrancl(_u14368, hAPP(c_Relation_Oconverse(_u14368, _u14368), _u14371)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14368, _u14368)), hAPP(hAPP(c_Product__Type_OPair(_u14368, _u14368), _u14369), _u14370)), hAPP(c_Relation_Oconverse(_u14368, _u14368), c_Transitive__Closure_Otrancl(_u14368, _u14371)))) )).
% 19.53/19.78 cnf(matrix-6338, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14377, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14379, _u14377, _u14381), _u14383)), _u14385)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14379, tc_HOL_Obool)), _u14383), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14379, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14377, _u14379, hAPP(c_Relation_Oconverse(_u14379, _u14377), _u14381)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14377, tc_HOL_Obool)), _u14385))))) )).
% 19.53/19.78 cnf(matrix-6339, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14380, tc_HOL_Obool)), _u14384), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14380, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14378, _u14380, hAPP(c_Relation_Oconverse(_u14380, _u14378), _u14382)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14378, tc_HOL_Obool)), _u14386))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14378, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14380, _u14378, _u14382), _u14384)), _u14386)) )).
% 19.53/19.78 cnf(matrix-6340, plain, ( ~c_Relation_Orefl__on(_u14387, _u14388, _u14389) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14387, _u14387), tc_HOL_Obool)), _u14389), hAPP(hAPP(c_Relation_Orel__comp(_u14387, _u14387, _u14387), hAPP(c_Relation_Oconverse(_u14387, _u14387), _u14389)), _u14389))) )).
% 19.53/19.78 cnf(matrix-6341, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14390, _u14390, _u14390), hAPP(c_Relation_Oconverse(_u14390, _u14390), _u14391)), _u14391) != _u14391) | ( hAPP(c_Relation_ODomain(_u14390, _u14390), _u14391) != _u14392) | c_Equiv__Relations_Oequiv(_u14390, _u14392, _u14391) )).
% 19.53/19.78 cnf(matrix-6342, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14393, _u14393)), _u14394)) | ~c_Wellfounded_Oacyclic(_u14393, _u14394) | c_Wellfounded_Owf(_u14393, hAPP(c_Relation_Oconverse(_u14393, _u14393), _u14394)) )).
% 19.53/19.78 cnf(matrix-6343, plain, ( ~c_Relation_Ototal__on(_u14402, _u14404, _u14406) | ~hBOOL(hAPP(hAPP(c_member(_u14402), _u14396), _u14404)) | ~hBOOL(hAPP(hAPP(c_member(_u14402), _u14395), _u14404)) | ( _u14396 = _u14395) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14402, _u14402)), hAPP(hAPP(c_Product__Type_OPair(_u14402, _u14402), _u14396), _u14395)), _u14406)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14402, _u14402)), hAPP(hAPP(c_Product__Type_OPair(_u14402, _u14402), _u14395), _u14396)), _u14406)) )).
% 19.53/19.78 cnf(matrix-6344, plain, ( c_Relation_Ototal__on(_u14403, _u14405, _u14407) | hBOOL(hAPP(hAPP(c_member(_u14403), skolem359(_u14407, _u14405, _u14403)), _u14405)) )).
% 19.53/19.78 cnf(matrix-6345, plain, ( c_Relation_Ototal__on(_u14403, _u14405, _u14407) | hBOOL(hAPP(hAPP(c_member(_u14403), skolem360(_u14407, _u14405, _u14403)), _u14405)) )).
% 19.53/19.78 cnf(matrix-6346, plain, ( c_Relation_Ototal__on(_u14403, _u14405, _u14407) | ( skolem359(_u14407, _u14405, _u14403) != skolem360(_u14407, _u14405, _u14403)) )).
% 19.53/19.78 cnf(matrix-6347, plain, ( c_Relation_Ototal__on(_u14403, _u14405, _u14407) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14403, _u14403)), hAPP(hAPP(c_Product__Type_OPair(_u14403, _u14403), skolem359(_u14407, _u14405, _u14403)), skolem360(_u14407, _u14405, _u14403))), _u14407)) )).
% 19.53/19.78 cnf(matrix-6348, plain, ( c_Relation_Ototal__on(_u14403, _u14405, _u14407) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14403, _u14403)), hAPP(hAPP(c_Product__Type_OPair(_u14403, _u14403), skolem360(_u14407, _u14405, _u14403)), skolem359(_u14407, _u14405, _u14403))), _u14407)) )).
% 19.53/19.78 cnf(matrix-6349, plain, ( ( hAPP(c_Relation_Oconverse(_u14408, _u14409), _u14410) = hAPP(c_Set_OCollect(tc_prod(_u14409, _u14408)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14409, _u14408, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14409, tc_fun(tc_prod(_u14408, _u14409), tc_HOL_Obool), tc_fun(_u14408, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14408, tc_fun(tc_fun(tc_prod(_u14408, _u14409), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14408, _u14409), tc_HOL_Obool), tc_fun(_u14408, tc_HOL_Obool)), _u14409), c_COMBC(_u14408, tc_fun(tc_prod(_u14408, _u14409), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14408, tc_prod(_u14408, _u14409)), tc_fun(_u14408, tc_fun(tc_fun(tc_prod(_u14408, _u14409), tc_HOL_Obool), tc_HOL_Obool)), _u14409), hAPP(c_COMBB(tc_prod(_u14408, _u14409), tc_fun(tc_fun(tc_prod(_u14408, _u14409), tc_HOL_Obool), tc_HOL_Obool), _u14408), c_member(tc_prod(_u14408, _u14409)))), hAPP(c_COMBC(_u14408, _u14409, tc_prod(_u14408, _u14409)), c_Product__Type_OPair(_u14408, _u14409))))), _u14410)))) )).
% 19.53/19.78 cnf(matrix-6350, plain, ( ~c_Relation_Osingle__valued(_u14411, _u14412, hAPP(c_Relation_Oconverse(_u14412, _u14411), _u14413)) | ( _u14414 = c_Orderings_Obot__class_Obot(tc_fun(_u14415, tc_HOL_Obool))) | ( hAPP(c_Relation_OImage(_u14412, _u14411, _u14413), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14415, tc_fun(_u14412, tc_HOL_Obool)), _u14414), _u14416)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14415, tc_fun(_u14411, tc_HOL_Obool)), _u14414), hAPP(hAPP(c_COMBB(tc_fun(_u14412, tc_HOL_Obool), tc_fun(_u14411, tc_HOL_Obool), _u14415), c_Relation_OImage(_u14412, _u14411, _u14413)), _u14416))) )).
% 19.53/19.78 cnf(matrix-6351, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14417, _u14417)), _u14418), c_Transitive__Closure_Ortrancl(_u14417, _u14419))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14417, _u14417)), _u14418), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u14417, _u14417), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_prod(_u14417, _u14417), tc_HOL_Obool), tc_fun(tc_prod(_u14417, _u14417), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u14417, _u14417), tc_HOL_Obool)), _u14419)))) )).
% 19.53/19.78 cnf(matrix-6352, plain, ( c_Relation_Osingle__valued(_u14420, _u14420, c_Relation_OId(_u14420)) )).
% 19.53/19.78 cnf(matrix-6353, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14421, _u14421), tc_HOL_Obool), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u14422) = _u14422) )).
% 19.53/19.78 cnf(matrix-6354, plain, ( ~c_Relation_Osingle__valued(_u14423, _u14423, _u14424) | c_Relation_Osingle__valued(_u14423, _u14423, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14423, _u14423), tc_HOL_Obool), _u14425), _u14424)) )).
% 19.53/19.78 cnf(matrix-6355, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14426, _u14426, _u14426), _u14427), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14426, _u14426), tc_HOL_Obool), _u14428), _u14427)) = hAPP(hAPP(c_Relation_Orel__comp(_u14426, _u14426, _u14426), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14426, _u14426), tc_HOL_Obool), _u14428), _u14427)), _u14427)) )).
% 19.53/19.78 cnf(matrix-6356, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_fun(_u14429, _u14430), tc_fun(_u14429, _u14430)), _u14431), c_Fun_Ocomp(_u14430, _u14430, _u14429, _u14432)) = c_Fun_Ocomp(_u14430, _u14430, _u14429, hAPP(hAPP(c_Nat_Ocompow(_u14430, _u14430), _u14431), _u14432))) )).
% 19.53/19.78 cnf(matrix-6357, plain, ( ~c_Relation_Osingle__valued(_u14433, _u14434, _u14435) | ~c_Relation_Osingle__valued(_u14434, _u14436, _u14437) | c_Relation_Osingle__valued(_u14433, _u14436, hAPP(hAPP(c_Relation_Orel__comp(_u14433, _u14434, _u14436), _u14435), _u14437)) )).
% 19.53/19.78 cnf(matrix-6358, plain, ( ~c_Wellfounded_Owf(_u14438, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14438, _u14438), tc_HOL_Obool), _u14439), _u14440)) | c_Wellfounded_Owf(_u14438, _u14440) )).
% 19.53/19.78 cnf(matrix-6359, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14441, _u14442), tc_HOL_Obool)), _u14443), _u14444)) | ~c_Relation_Osingle__valued(_u14441, _u14442, _u14444) | c_Relation_Osingle__valued(_u14441, _u14442, _u14443) )).
% 19.53/19.78 cnf(matrix-6360, plain, ( ( hAPP(_u14445, hAPP(hAPP(hAPP(c_Nat_Ocompow(_u14446, _u14446), _u14447), _u14445), _u14448)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(_u14446, _u14446), _u14447), _u14445), hAPP(_u14445, _u14448))) )).
% 19.53/19.78 cnf(matrix-6361, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14449, _u14449), _u14450), hAPP(hAPP(c_Nat_Ocompow(_u14449, _u14449), _u14451), _u14452)) = hAPP(hAPP(c_Nat_Ocompow(_u14449, _u14449), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u14451), _u14450)), _u14452)) )).
% 19.53/19.78 cnf(matrix-6362, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14453, _u14453)), _u14454), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14453, _u14453), tc_HOL_Obool), _u14455), _u14456))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14453, _u14453)), _u14454), c_Transitive__Closure_Ortrancl(_u14453, _u14456))) )).
% 19.53/19.78 cnf(matrix-6363, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14462, _u14462)), _u14464), c_Transitive__Closure_Ortrancl(_u14462, _u14466))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14462, _u14462)), _u14464), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14462, _u14462), tc_HOL_Obool), skolem361(_u14466, _u14464, _u14462)), _u14466))) )).
% 19.53/19.78 cnf(matrix-6364, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14463, _u14463)), _u14465), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14463, _u14463), tc_HOL_Obool), _u14458), _u14467))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14463, _u14463)), _u14465), c_Transitive__Closure_Ortrancl(_u14463, _u14467))) )).
% 19.53/19.78 cnf(matrix-6365, plain, ( c_Relation_Osingle__valued(_u14468, _u14468, c_Relation_OId__on(_u14468, _u14469)) )).
% 19.53/19.78 cnf(matrix-6366, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14470, _u14470), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14471)), _u14472) = hAPP(hAPP(c_Relation_Orel__comp(_u14470, _u14470, _u14470), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14470, _u14470), tc_HOL_Obool), _u14471), _u14472)), _u14472)) )).
% 19.53/19.78 cnf(matrix-6367, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14473, _u14473), tc_HOL_Obool), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14474), _u14475)), _u14476) = hAPP(hAPP(c_Relation_Orel__comp(_u14473, _u14473, _u14473), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14473, _u14473), tc_HOL_Obool), _u14474), _u14476)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14473, _u14473), tc_HOL_Obool), _u14475), _u14476))) )).
% 19.53/19.78 cnf(matrix-6368, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14477, _u14477), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14478) = c_Relation_OId(_u14477)) )).
% 19.53/19.78 cnf(matrix-6369, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14479, _u14479)), hAPP(hAPP(c_Product__Type_OPair(_u14479, _u14479), _u14480), _u14480)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14479, _u14479), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14481))) )).
% 19.53/19.78 cnf(matrix-6370, plain, ( ( _u14483 = _u14484) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14482, _u14482)), hAPP(hAPP(c_Product__Type_OPair(_u14482, _u14482), _u14483), _u14484)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14482, _u14482), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14485))) )).
% 19.53/19.78 cnf(matrix-6371, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14486, _u14486)), hAPP(hAPP(c_Product__Type_OPair(_u14486, _u14486), _u14487), _u14488)), _u14489)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14486, _u14486)), hAPP(hAPP(c_Product__Type_OPair(_u14486, _u14486), _u14488), _u14490)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14486, _u14486), tc_HOL_Obool), _u14491), _u14489))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14486, _u14486)), hAPP(hAPP(c_Product__Type_OPair(_u14486, _u14486), _u14487), _u14490)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14486, _u14486), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14491)), _u14489))) )).
% 19.53/19.78 cnf(matrix-6372, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14492, _u14492)), hAPP(hAPP(c_Product__Type_OPair(_u14492, _u14492), _u14493), _u14494)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14492, _u14492), tc_HOL_Obool), _u14495), _u14496))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14492, _u14492)), hAPP(hAPP(c_Product__Type_OPair(_u14492, _u14492), _u14494), _u14497)), _u14496)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14492, _u14492)), hAPP(hAPP(c_Product__Type_OPair(_u14492, _u14492), _u14493), _u14497)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14492, _u14492), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14495)), _u14496))) )).
% 19.53/19.78 cnf(matrix-6373, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14498, _u14498), hAPP(c_Nat_OSuc, _u14499)), _u14500) = hAPP(c_Fun_Ocomp(_u14498, _u14498, _u14498, _u14500), hAPP(hAPP(c_Nat_Ocompow(_u14498, _u14498), _u14499), _u14500))) )).
% 19.53/19.78 cnf(matrix-6374, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14501, _u14501), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14502), _u14503)), _u14504) = hAPP(c_Fun_Ocomp(_u14501, _u14501, _u14501, hAPP(hAPP(c_Nat_Ocompow(_u14501, _u14501), _u14502), _u14504)), hAPP(hAPP(c_Nat_Ocompow(_u14501, _u14501), _u14503), _u14504))) )).
% 19.53/19.78 cnf(matrix-6375, plain, ( ~c_Relation_Osingle__valued(_u14514, _u14516, _u14518) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14514, _u14516)), hAPP(hAPP(c_Product__Type_OPair(_u14514, _u14516), _u14507), _u14506)), _u14518)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14514, _u14516)), hAPP(hAPP(c_Product__Type_OPair(_u14514, _u14516), _u14507), _u14505)), _u14518)) | ( _u14506 = _u14505) )).
% 19.53/19.78 cnf(matrix-6376, plain, ( c_Relation_Osingle__valued(_u14515, _u14517, _u14519) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14515, _u14517)), hAPP(hAPP(c_Product__Type_OPair(_u14515, _u14517), skolem362(_u14519, _u14517, _u14515)), skolem363(_u14519, _u14517, _u14515))), _u14519)) )).
% 19.53/19.78 cnf(matrix-6377, plain, ( c_Relation_Osingle__valued(_u14515, _u14517, _u14519) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14515, _u14517)), hAPP(hAPP(c_Product__Type_OPair(_u14515, _u14517), skolem362(_u14519, _u14517, _u14515)), skolem364(_u14519, _u14517, _u14515))), _u14519)) )).
% 19.53/19.78 cnf(matrix-6378, plain, ( c_Relation_Osingle__valued(_u14515, _u14517, _u14519) | ( skolem363(_u14519, _u14517, _u14515) != skolem364(_u14519, _u14517, _u14515)) )).
% 19.53/19.78 cnf(matrix-6379, plain, ( ~c_Relation_Osingle__valued(_u14520, _u14521, _u14522) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14520, _u14521)), hAPP(hAPP(c_Product__Type_OPair(_u14520, _u14521), _u14523), _u14524)), _u14522)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14520, _u14521)), hAPP(hAPP(c_Product__Type_OPair(_u14520, _u14521), _u14523), _u14525)), _u14522)) | ( _u14524 = _u14525) )).
% 19.53/19.78 cnf(matrix-6380, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14526, _u14526), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14527) = c_Fun_Oid(_u14526)) )).
% 19.53/19.78 cnf(matrix-6381, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14533, _u14533)), _u14535), c_Transitive__Closure_Otrancl(_u14533, _u14537))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem365(_u14537, _u14535, _u14533))) )).
% 19.53/19.78 cnf(matrix-6382, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14533, _u14533)), _u14535), c_Transitive__Closure_Otrancl(_u14533, _u14537))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14533, _u14533)), _u14535), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14533, _u14533), tc_HOL_Obool), skolem365(_u14537, _u14535, _u14533)), _u14537))) )).
% 19.53/19.78 cnf(matrix-6383, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14529)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14534, _u14534)), _u14536), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14534, _u14534), tc_HOL_Obool), _u14529), _u14538))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14534, _u14534)), _u14536), c_Transitive__Closure_Otrancl(_u14534, _u14538))) )).
% 19.53/19.78 cnf(matrix-6384, plain, ( ( c_Transitive__Closure_Ortrancl(_u14539, _u14540) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u14539, _u14539), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_prod(_u14539, _u14539), tc_HOL_Obool), tc_fun(tc_prod(_u14539, _u14539), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u14539, _u14539), tc_HOL_Obool)), _u14540))) )).
% 19.53/19.78 cnf(matrix-6385, plain, ( ~c_Relation_Osingle__valued(_u14541, _u14541, _u14542) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14541, _u14541)), hAPP(hAPP(c_Product__Type_OPair(_u14541, _u14541), _u14543), _u14544)), c_Transitive__Closure_Ortrancl(_u14541, _u14542))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14541, _u14541)), hAPP(hAPP(c_Product__Type_OPair(_u14541, _u14541), _u14543), _u14545)), c_Transitive__Closure_Ortrancl(_u14541, _u14542))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14541, _u14541)), hAPP(hAPP(c_Product__Type_OPair(_u14541, _u14541), _u14544), _u14545)), c_Transitive__Closure_Ortrancl(_u14541, _u14542))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14541, _u14541)), hAPP(hAPP(c_Product__Type_OPair(_u14541, _u14541), _u14545), _u14544)), c_Transitive__Closure_Ortrancl(_u14541, _u14542))) )).
% 19.53/19.78 cnf(matrix-6386, plain, ( ~c_Relation_Osingle__valued(_u14546, _u14547, hAPP(c_Relation_Oconverse(_u14547, _u14546), _u14548)) | ( hAPP(c_Relation_OImage(_u14547, _u14546, _u14548), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14547, tc_HOL_Obool)), _u14549), _u14550)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14546, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14547, _u14546, _u14548), _u14549)), hAPP(c_Relation_OImage(_u14547, _u14546, _u14548), _u14550))) )).
% 19.53/19.78 cnf(matrix-6387, plain, ( ( c_Nat_Ofunpow(_u14551) = c_Nat_Ocompow(_u14551, _u14551)) )).
% 19.53/19.78 cnf(matrix-6388, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14554, _u14554)), hAPP(hAPP(c_Product__Type_OPair(_u14554, _u14554), _u14555), _u14556)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14554, _u14554), tc_HOL_Obool), _u14557), _u14558))) | ( _u14557 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u14557 = hAPP(c_Nat_OSuc, skolem367(_u14558, _u14557, _u14556, _u14555, _u14554))) )).
% 19.53/19.78 cnf(matrix-6389, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14554, _u14554)), hAPP(hAPP(c_Product__Type_OPair(_u14554, _u14554), _u14555), _u14556)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14554, _u14554), tc_HOL_Obool), _u14557), _u14558))) | ( _u14557 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14554, _u14554)), hAPP(hAPP(c_Product__Type_OPair(_u14554, _u14554), _u14555), skolem366(_u14558, _u14557, _u14556, _u14555, _u14554))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14554, _u14554), tc_HOL_Obool), skolem367(_u14558, _u14557, _u14556, _u14555, _u14554)), _u14558))) )).
% 19.53/19.78 cnf(matrix-6390, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14554, _u14554)), hAPP(hAPP(c_Product__Type_OPair(_u14554, _u14554), _u14555), _u14556)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14554, _u14554), tc_HOL_Obool), _u14557), _u14558))) | ( _u14557 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14554, _u14554)), hAPP(hAPP(c_Product__Type_OPair(_u14554, _u14554), skolem366(_u14558, _u14557, _u14556, _u14555, _u14554)), _u14556)), _u14558)) )).
% 19.53/19.78 cnf(matrix-6391, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14554, _u14554)), hAPP(hAPP(c_Product__Type_OPair(_u14554, _u14554), _u14555), _u14556)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14554, _u14554), tc_HOL_Obool), _u14557), _u14558))) | ( _u14555 = _u14556) | ( _u14557 = hAPP(c_Nat_OSuc, skolem367(_u14558, _u14557, _u14556, _u14555, _u14554))) )).
% 19.53/19.78 cnf(matrix-6392, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14554, _u14554)), hAPP(hAPP(c_Product__Type_OPair(_u14554, _u14554), _u14555), _u14556)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14554, _u14554), tc_HOL_Obool), _u14557), _u14558))) | ( _u14555 = _u14556) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14554, _u14554)), hAPP(hAPP(c_Product__Type_OPair(_u14554, _u14554), _u14555), skolem366(_u14558, _u14557, _u14556, _u14555, _u14554))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14554, _u14554), tc_HOL_Obool), skolem367(_u14558, _u14557, _u14556, _u14555, _u14554)), _u14558))) )).
% 19.53/19.78 cnf(matrix-6393, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14554, _u14554)), hAPP(hAPP(c_Product__Type_OPair(_u14554, _u14554), _u14555), _u14556)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14554, _u14554), tc_HOL_Obool), _u14557), _u14558))) | ( _u14555 = _u14556) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14554, _u14554)), hAPP(hAPP(c_Product__Type_OPair(_u14554, _u14554), skolem366(_u14558, _u14557, _u14556, _u14555, _u14554)), _u14556)), _u14558)) )).
% 19.53/19.78 cnf(matrix-6394, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14561, _u14561)), hAPP(hAPP(c_Product__Type_OPair(_u14561, _u14561), _u14562), _u14563)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14561, _u14561), tc_HOL_Obool), _u14564), _u14565))) | ( _u14564 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u14564 = hAPP(c_Nat_OSuc, skolem369(_u14565, _u14564, _u14563, _u14562, _u14561))) )).
% 19.53/19.78 cnf(matrix-6395, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14561, _u14561)), hAPP(hAPP(c_Product__Type_OPair(_u14561, _u14561), _u14562), _u14563)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14561, _u14561), tc_HOL_Obool), _u14564), _u14565))) | ( _u14564 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14561, _u14561)), hAPP(hAPP(c_Product__Type_OPair(_u14561, _u14561), _u14562), skolem368(_u14565, _u14564, _u14563, _u14562, _u14561))), _u14565)) )).
% 19.53/19.78 cnf(matrix-6396, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14561, _u14561)), hAPP(hAPP(c_Product__Type_OPair(_u14561, _u14561), _u14562), _u14563)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14561, _u14561), tc_HOL_Obool), _u14564), _u14565))) | ( _u14564 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14561, _u14561)), hAPP(hAPP(c_Product__Type_OPair(_u14561, _u14561), skolem368(_u14565, _u14564, _u14563, _u14562, _u14561)), _u14563)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14561, _u14561), tc_HOL_Obool), skolem369(_u14565, _u14564, _u14563, _u14562, _u14561)), _u14565))) )).
% 19.53/19.78 cnf(matrix-6397, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14561, _u14561)), hAPP(hAPP(c_Product__Type_OPair(_u14561, _u14561), _u14562), _u14563)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14561, _u14561), tc_HOL_Obool), _u14564), _u14565))) | ( _u14562 = _u14563) | ( _u14564 = hAPP(c_Nat_OSuc, skolem369(_u14565, _u14564, _u14563, _u14562, _u14561))) )).
% 19.53/19.78 cnf(matrix-6398, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14561, _u14561)), hAPP(hAPP(c_Product__Type_OPair(_u14561, _u14561), _u14562), _u14563)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14561, _u14561), tc_HOL_Obool), _u14564), _u14565))) | ( _u14562 = _u14563) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14561, _u14561)), hAPP(hAPP(c_Product__Type_OPair(_u14561, _u14561), _u14562), skolem368(_u14565, _u14564, _u14563, _u14562, _u14561))), _u14565)) )).
% 19.53/19.78 cnf(matrix-6399, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14561, _u14561)), hAPP(hAPP(c_Product__Type_OPair(_u14561, _u14561), _u14562), _u14563)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14561, _u14561), tc_HOL_Obool), _u14564), _u14565))) | ( _u14562 = _u14563) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14561, _u14561)), hAPP(hAPP(c_Product__Type_OPair(_u14561, _u14561), skolem368(_u14565, _u14564, _u14563, _u14562, _u14561)), _u14563)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14561, _u14561), tc_HOL_Obool), skolem369(_u14565, _u14564, _u14563, _u14562, _u14561)), _u14565))) )).
% 19.53/19.78 cnf(matrix-6400, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14568, _u14568)), hAPP(hAPP(c_Product__Type_OPair(_u14568, _u14568), _u14569), _u14570)), c_Transitive__Closure_Ortrancl(_u14568, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14568, _u14568), tc_HOL_Obool)), _u14571), _u14572)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14568, _u14568)), hAPP(hAPP(c_Product__Type_OPair(_u14568, _u14568), _u14569), _u14570)), c_Transitive__Closure_Ortrancl(_u14568, _u14571))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14568, _u14568)), hAPP(hAPP(c_Product__Type_OPair(_u14568, _u14568), _u14569), skolem370(_u14572, _u14571, _u14570, _u14569, _u14568))), c_Transitive__Closure_Ortrancl(_u14568, _u14571))) )).
% 19.53/19.78 cnf(matrix-6401, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14568, _u14568)), hAPP(hAPP(c_Product__Type_OPair(_u14568, _u14568), _u14569), _u14570)), c_Transitive__Closure_Ortrancl(_u14568, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14568, _u14568), tc_HOL_Obool)), _u14571), _u14572)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14568, _u14568)), hAPP(hAPP(c_Product__Type_OPair(_u14568, _u14568), _u14569), _u14570)), c_Transitive__Closure_Ortrancl(_u14568, _u14571))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14568, _u14568)), hAPP(hAPP(c_Product__Type_OPair(_u14568, _u14568), skolem370(_u14572, _u14571, _u14570, _u14569, _u14568)), skolem371(_u14572, _u14571, _u14570, _u14569, _u14568))), _u14572)) )).
% 19.53/19.78 cnf(matrix-6402, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14568, _u14568)), hAPP(hAPP(c_Product__Type_OPair(_u14568, _u14568), _u14569), _u14570)), c_Transitive__Closure_Ortrancl(_u14568, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14568, _u14568), tc_HOL_Obool)), _u14571), _u14572)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14568, _u14568)), hAPP(hAPP(c_Product__Type_OPair(_u14568, _u14568), _u14569), _u14570)), c_Transitive__Closure_Ortrancl(_u14568, _u14571))) | ( skolem370(_u14572, _u14571, _u14570, _u14569, _u14568) != skolem371(_u14572, _u14571, _u14570, _u14569, _u14568)) )).
% 19.53/19.78 cnf(matrix-6403, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14575, _u14575)), hAPP(hAPP(c_Product__Type_OPair(_u14575, _u14575), _u14576), _u14577)), c_Transitive__Closure_Ortrancl(_u14575, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14575, _u14575), tc_HOL_Obool)), _u14578), _u14579)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14575, _u14575)), hAPP(hAPP(c_Product__Type_OPair(_u14575, _u14575), _u14576), _u14577)), c_Transitive__Closure_Ortrancl(_u14575, _u14578))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14575, _u14575)), hAPP(hAPP(c_Product__Type_OPair(_u14575, _u14575), skolem372(_u14579, _u14578, _u14577, _u14576, _u14575)), _u14577)), c_Transitive__Closure_Ortrancl(_u14575, _u14578))) )).
% 19.53/19.78 cnf(matrix-6404, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14575, _u14575)), hAPP(hAPP(c_Product__Type_OPair(_u14575, _u14575), _u14576), _u14577)), c_Transitive__Closure_Ortrancl(_u14575, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14575, _u14575), tc_HOL_Obool)), _u14578), _u14579)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14575, _u14575)), hAPP(hAPP(c_Product__Type_OPair(_u14575, _u14575), _u14576), _u14577)), c_Transitive__Closure_Ortrancl(_u14575, _u14578))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14575, _u14575)), hAPP(hAPP(c_Product__Type_OPair(_u14575, _u14575), skolem373(_u14579, _u14578, _u14577, _u14576, _u14575)), skolem372(_u14579, _u14578, _u14577, _u14576, _u14575))), _u14579)) )).
% 19.53/19.78 cnf(matrix-6405, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14575, _u14575)), hAPP(hAPP(c_Product__Type_OPair(_u14575, _u14575), _u14576), _u14577)), c_Transitive__Closure_Ortrancl(_u14575, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14575, _u14575), tc_HOL_Obool)), _u14578), _u14579)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14575, _u14575)), hAPP(hAPP(c_Product__Type_OPair(_u14575, _u14575), _u14576), _u14577)), c_Transitive__Closure_Ortrancl(_u14575, _u14578))) | ( skolem373(_u14579, _u14578, _u14577, _u14576, _u14575) != skolem372(_u14579, _u14578, _u14577, _u14576, _u14575)) )).
% 19.53/19.78 cnf(matrix-6406, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14581, _u14581)), hAPP(hAPP(c_Product__Type_OPair(_u14581, _u14581), _u14582), _u14583)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14581, _u14581), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14584)), _u14585))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14581, _u14581)), hAPP(hAPP(c_Product__Type_OPair(_u14581, _u14581), _u14582), skolem374(_u14585, _u14584, _u14583, _u14582, _u14581))), _u14585)) )).
% 19.53/19.78 cnf(matrix-6407, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14581, _u14581)), hAPP(hAPP(c_Product__Type_OPair(_u14581, _u14581), _u14582), _u14583)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14581, _u14581), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14584)), _u14585))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14581, _u14581)), hAPP(hAPP(c_Product__Type_OPair(_u14581, _u14581), skolem374(_u14585, _u14584, _u14583, _u14582, _u14581)), _u14583)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14581, _u14581), tc_HOL_Obool), _u14584), _u14585))) )).
% 19.53/19.78 cnf(matrix-6408, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14587, _u14587)), hAPP(hAPP(c_Product__Type_OPair(_u14587, _u14587), _u14588), _u14589)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14587, _u14587), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14590)), _u14591))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14587, _u14587)), hAPP(hAPP(c_Product__Type_OPair(_u14587, _u14587), _u14588), skolem375(_u14591, _u14590, _u14589, _u14588, _u14587))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14587, _u14587), tc_HOL_Obool), _u14590), _u14591))) )).
% 19.53/19.78 cnf(matrix-6409, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14587, _u14587)), hAPP(hAPP(c_Product__Type_OPair(_u14587, _u14587), _u14588), _u14589)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14587, _u14587), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14590)), _u14591))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14587, _u14587)), hAPP(hAPP(c_Product__Type_OPair(_u14587, _u14587), skolem375(_u14591, _u14590, _u14589, _u14588, _u14587)), _u14589)), _u14591)) )).
% 19.53/19.78 cnf(matrix-6410, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14593, _u14593)), hAPP(hAPP(c_Product__Type_OPair(_u14593, _u14593), _u14594), _u14595)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14593, _u14593), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14596)), _u14597))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14593, _u14593)), hAPP(hAPP(c_Product__Type_OPair(_u14593, _u14593), _u14594), skolem376(_u14597, _u14596, _u14595, _u14594, _u14593))), _u14597)) )).
% 19.53/19.78 cnf(matrix-6411, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14593, _u14593)), hAPP(hAPP(c_Product__Type_OPair(_u14593, _u14593), _u14594), _u14595)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14593, _u14593), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14596)), _u14597))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14593, _u14593)), hAPP(hAPP(c_Product__Type_OPair(_u14593, _u14593), skolem376(_u14597, _u14596, _u14595, _u14594, _u14593)), _u14595)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14593, _u14593), tc_HOL_Obool), _u14596), _u14597))) )).
% 19.53/19.78 cnf(matrix-6412, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14599, _u14599)), hAPP(hAPP(c_Product__Type_OPair(_u14599, _u14599), _u14600), _u14601)), c_Transitive__Closure_Otrancl(_u14599, _u14602))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14599, _u14599)), hAPP(hAPP(c_Product__Type_OPair(_u14599, _u14599), _u14600), skolem377(_u14602, _u14601, _u14600, _u14599))), _u14602)) )).
% 19.53/19.78 cnf(matrix-6413, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14599, _u14599)), hAPP(hAPP(c_Product__Type_OPair(_u14599, _u14599), _u14600), _u14601)), c_Transitive__Closure_Otrancl(_u14599, _u14602))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14599, _u14599)), hAPP(hAPP(c_Product__Type_OPair(_u14599, _u14599), skolem377(_u14602, _u14601, _u14600, _u14599)), _u14601)), c_Transitive__Closure_Ortrancl(_u14599, _u14602))) )).
% 19.53/19.78 cnf(matrix-6414, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14604, _u14604)), hAPP(hAPP(c_Product__Type_OPair(_u14604, _u14604), _u14605), _u14606)), c_Transitive__Closure_Otrancl(_u14604, _u14607))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14604, _u14604)), hAPP(hAPP(c_Product__Type_OPair(_u14604, _u14604), _u14605), skolem378(_u14607, _u14606, _u14605, _u14604))), c_Transitive__Closure_Ortrancl(_u14604, _u14607))) )).
% 19.53/19.78 cnf(matrix-6415, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14604, _u14604)), hAPP(hAPP(c_Product__Type_OPair(_u14604, _u14604), _u14605), _u14606)), c_Transitive__Closure_Otrancl(_u14604, _u14607))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14604, _u14604)), hAPP(hAPP(c_Product__Type_OPair(_u14604, _u14604), skolem378(_u14607, _u14606, _u14605, _u14604)), _u14606)), _u14607)) )).
% 19.53/19.78 cnf(matrix-6416, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14609, _u14609)), _u14610), c_Relation_OId(_u14609))) | ( _u14610 = hAPP(hAPP(c_Product__Type_OPair(_u14609, _u14609), skolem379(_u14610, _u14609)), skolem379(_u14610, _u14609))) )).
% 19.53/19.78 cnf(matrix-6417, plain, ( ( hAPP(c_Set_OCollect(tc_Int_Oint), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), _u14612)) = hAPP(c_Set_OCollect(tc_Int_Oint), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), _u14613))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem380(_u14613, _u14612))) )).
% 19.53/19.78 cnf(matrix-6418, plain, ( ( hAPP(c_Set_OCollect(tc_Int_Oint), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), _u14612)) = hAPP(c_Set_OCollect(tc_Int_Oint), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), _u14613))) | hBOOL(hAPP(_u14612, skolem380(_u14613, _u14612))) | hBOOL(hAPP(_u14613, skolem380(_u14613, _u14612))) )).
% 19.53/19.78 cnf(matrix-6419, plain, ( ( hAPP(c_Set_OCollect(tc_Int_Oint), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), _u14612)) = hAPP(c_Set_OCollect(tc_Int_Oint), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), _u14613))) | ~hBOOL(hAPP(_u14613, skolem380(_u14613, _u14612))) | ~hBOOL(hAPP(_u14612, skolem380(_u14613, _u14612))) )).
% 19.53/19.78 cnf(matrix-6420, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14615, tc_HOL_Obool)), _u14616), _u14617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14615, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14615, tc_HOL_Obool)), _u14616), hAPP(c_Set_OCollect(_u14615), _u14618))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14615, tc_HOL_Obool)), _u14617), hAPP(c_Set_OCollect(_u14615), _u14619)))) | hBOOL(hAPP(hAPP(c_member(_u14615), skolem381(_u14619, _u14618, _u14617, _u14616, _u14615)), _u14616)) )).
% 19.53/19.78 cnf(matrix-6421, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14615, tc_HOL_Obool)), _u14616), _u14617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14615, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14615, tc_HOL_Obool)), _u14616), hAPP(c_Set_OCollect(_u14615), _u14618))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14615, tc_HOL_Obool)), _u14617), hAPP(c_Set_OCollect(_u14615), _u14619)))) | hBOOL(hAPP(_u14618, skolem381(_u14619, _u14618, _u14617, _u14616, _u14615))) )).
% 19.53/19.78 cnf(matrix-6422, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14615, tc_HOL_Obool)), _u14616), _u14617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14615, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14615, tc_HOL_Obool)), _u14616), hAPP(c_Set_OCollect(_u14615), _u14618))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14615, tc_HOL_Obool)), _u14617), hAPP(c_Set_OCollect(_u14615), _u14619)))) | ~hBOOL(hAPP(_u14619, skolem381(_u14619, _u14618, _u14617, _u14616, _u14615))) )).
% 19.53/19.78 cnf(matrix-6423, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14623, _u14624)), _u14625), hAPP(hAPP(c_Relation_Orel__comp(_u14623, _u14626, _u14624), _u14627), _u14628))) | ( _u14625 = hAPP(hAPP(c_Product__Type_OPair(_u14623, _u14624), skolem382(_u14628, _u14627, _u14626, _u14625, _u14624, _u14623)), skolem384(_u14628, _u14627, _u14626, _u14625, _u14624, _u14623))) )).
% 19.53/19.78 cnf(matrix-6424, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14623, _u14624)), _u14625), hAPP(hAPP(c_Relation_Orel__comp(_u14623, _u14626, _u14624), _u14627), _u14628))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14623, _u14626)), hAPP(hAPP(c_Product__Type_OPair(_u14623, _u14626), skolem382(_u14628, _u14627, _u14626, _u14625, _u14624, _u14623)), skolem383(_u14628, _u14627, _u14626, _u14625, _u14624, _u14623))), _u14627)) )).
% 19.53/19.78 cnf(matrix-6425, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14623, _u14624)), _u14625), hAPP(hAPP(c_Relation_Orel__comp(_u14623, _u14626, _u14624), _u14627), _u14628))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14626, _u14624)), hAPP(hAPP(c_Product__Type_OPair(_u14626, _u14624), skolem383(_u14628, _u14627, _u14626, _u14625, _u14624, _u14623)), skolem384(_u14628, _u14627, _u14626, _u14625, _u14624, _u14623))), _u14628)) )).
% 19.53/19.78 cnf(matrix-6426, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14631, _u14632)), _u14633), hAPP(c_Relation_Oconverse(_u14632, _u14631), _u14634))) | ( _u14633 = hAPP(hAPP(c_Product__Type_OPair(_u14631, _u14632), skolem386(_u14634, _u14633, _u14632, _u14631)), skolem385(_u14634, _u14633, _u14632, _u14631))) )).
% 19.53/19.78 cnf(matrix-6427, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14631, _u14632)), _u14633), hAPP(c_Relation_Oconverse(_u14632, _u14631), _u14634))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14632, _u14631)), hAPP(hAPP(c_Product__Type_OPair(_u14632, _u14631), skolem385(_u14634, _u14633, _u14632, _u14631)), skolem386(_u14634, _u14633, _u14632, _u14631))), _u14634)) )).
% 19.53/19.78 cnf(matrix-6428, plain, ( ( c_Nitpick_Oplus__frac(_u14635, _u14636, _u14637) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u14635), c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(_u14635), _u14636), hAPP(c_Nitpick_Odenom(_u14635), _u14637))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, _u14635), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, _u14635), tc_Int_Oint), c_Nitpick_Ofrac(_u14635)), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Int_Oint)), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint), hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14635), _u14636))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint)), hAPP(c_Nitpick_Odenom(_u14635), _u14636))))), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint), hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14635), _u14637))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint)), hAPP(c_Nitpick_Odenom(_u14635), _u14637)))))), c_COMBI(tc_Int_Oint)))) )).
% 19.53/19.78 cnf(matrix-6429, plain, ( ( c_Nitpick_Otimes__frac(_u14638, _u14639, _u14640) = hAPP(hAPP(c_Nitpick_Ofrac(_u14638), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14638), _u14639)), hAPP(c_Nitpick_Onum(_u14638), _u14640))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Odenom(_u14638), _u14639)), hAPP(c_Nitpick_Odenom(_u14638), _u14640)))) )).
% 19.53/19.78 cnf(matrix-6430, plain, ( ~class_Rings_Oinverse(_u14641) | ~class_Rings_Oring__1(_u14641) | ( c_Nitpick_Oof__frac(_u14642, _u14641, _u14643) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u14641), hAPP(c_Int_Oring__1__class_Oof__int(_u14641), hAPP(c_Nitpick_Onum(_u14642), _u14643))), hAPP(c_Int_Oring__1__class_Oof__int(_u14641), hAPP(c_Nitpick_Odenom(_u14642), _u14643)))) )).
% 19.53/19.78 cnf(matrix-6431, plain, ( ( c_Nitpick_Oinverse__frac(_u14644, _u14645) = hAPP(hAPP(c_Nitpick_Ofrac(_u14644), hAPP(c_Nitpick_Odenom(_u14644), _u14645)), hAPP(c_Nitpick_Onum(_u14644), _u14645))) )).
% 19.53/19.78 cnf(matrix-6432, plain, ( ( c_Nitpick_Ouminus__frac(_u14646, _u14647) = c_Nitpick_OAbs__Frac(_u14646, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14646), _u14647))), hAPP(c_Nitpick_Odenom(_u14646), _u14647)))) )).
% 19.53/19.78 cnf(matrix-6433, plain, ( ~c_Nitpick_Oless__frac(_u14651, _u14653, _u14655) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14651), c_Nitpick_Oplus__frac(_u14651, _u14653, c_Nitpick_Ouminus__frac(_u14651, _u14655)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.78 cnf(matrix-6434, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14652), c_Nitpick_Oplus__frac(_u14652, _u14654, c_Nitpick_Ouminus__frac(_u14652, _u14656)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__frac(_u14652, _u14654, _u14656) )).
% 19.53/19.78 cnf(matrix-6435, plain, ( ~c_Nitpick_Oless__eq__frac(_u14660, _u14662, _u14664) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14660), c_Nitpick_Oplus__frac(_u14660, _u14662, c_Nitpick_Ouminus__frac(_u14660, _u14664)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 19.53/19.78 cnf(matrix-6436, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u14661), c_Nitpick_Oplus__frac(_u14661, _u14663, c_Nitpick_Ouminus__frac(_u14661, _u14665)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__eq__frac(_u14661, _u14663, _u14665) )).
% 19.53/19.78 cnf(matrix-6437, plain, ( ( c_Nitpick_Odenom(_u14666) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u14666, c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u14666))) )).
% 19.53/19.78 cnf(matrix-6438, plain, ( ( c_Nitpick_Onum(_u14667) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u14667, c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u14667))) )).
% 19.53/19.78 cnf(matrix-6439, plain, ( ( c_Product__Type_Ointernal__split(_u14668, _u14669, _u14670) = c_Product__Type_Oprod_Oprod__case(_u14668, _u14669, _u14670)) )).
% 19.53/19.78 cnf(matrix-6440, plain, ( ( c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.78 cnf(matrix-6441, plain, ( ( hAPP(hAPP(c_Product__Type_Ointernal__split(_u14671, _u14672, _u14673), _u14674), hAPP(hAPP(c_Product__Type_OPair(_u14671, _u14672), _u14675), _u14676)) = hAPP(hAPP(_u14674, _u14675), _u14676)) )).
% 19.53/19.78 cnf(matrix-6442, plain, ( ( c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.78 cnf(matrix-6443, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem387(_u14679, _u14678)), hAPP(_u14678, skolem387(_u14679, _u14678)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)), _u14678)), _u14679)))) )).
% 19.53/19.78 cnf(matrix-6444, plain, ( ( c_List_Olenlex(_u14680, _u14681) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, tc_List_Olist(_u14680)), tc_List_Olist(_u14680)), c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_List_Olist(_u14680), c_Wellfounded_Oless__than, c_List_Olex(_u14680, _u14681))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14680), tc_List_Olist(_u14680), tc_prod(tc_Nat_Onat, tc_List_Olist(_u14680))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_List_Olist(_u14680), tc_prod(tc_Nat_Onat, tc_List_Olist(_u14680))), tc_List_Olist(_u14680)), c_Product__Type_OPair(tc_Nat_Onat, tc_List_Olist(_u14680))), c_Nat_Osize__class_Osize(tc_List_Olist(_u14680)))), c_COMBI(tc_List_Olist(_u14680))))) )).
% 19.53/19.78 cnf(matrix-6445, plain, ( ( _u14683 != _u14684) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14682)), _u14683) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14682)), _u14684)) )).
% 19.53/19.78 cnf(matrix-6446, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14685), tc_List_Olist(_u14685))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14685), tc_List_Olist(_u14685)), _u14686), _u14687)), hAPP(c_List_Olexn(_u14685, _u14688), _u14689))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14685)), _u14686) = _u14689) )).
% 19.53/19.78 cnf(matrix-6447, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14685), tc_List_Olist(_u14685))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14685), tc_List_Olist(_u14685)), _u14686), _u14687)), hAPP(c_List_Olexn(_u14685, _u14688), _u14689))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14685)), _u14687) = _u14689) )).
% 19.53/19.78 cnf(matrix-6448, plain, ( ( c_List_Olenlex(_u14690, _u14691) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u14690), tc_List_Olist(_u14690))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u14690), tc_List_Olist(_u14690), tc_HOL_Obool), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14690), tc_fun(tc_List_Olist(_u14690), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14690), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14690), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u14690), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14690), tc_HOL_Obool)), tc_List_Olist(_u14690)), c_COMBS(tc_List_Olist(_u14690), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14690), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14690), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u14690)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14690)), c_fdisj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14690), tc_fun(tc_List_Olist(_u14690), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14690), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14690), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14690), tc_HOL_Obool)), tc_List_Olist(_u14690)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u14690))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14690)), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u14690))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u14690)))))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u14690), tc_fun(tc_List_Olist(_u14690), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14690), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14690), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u14690), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14690), tc_HOL_Obool)), tc_List_Olist(_u14690)), c_COMBS(tc_List_Olist(_u14690), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14690), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14690), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u14690)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14690)), c_fconj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14690), tc_fun(tc_List_Olist(_u14690), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14690), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14690), tc_Nat_Onat), tc_fun(tc_List_Olist(_u14690), tc_HOL_Obool)), tc_List_Olist(_u14690)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u14690))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14690)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u14690))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u14690)))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14690), tc_fun(tc_prod(tc_List_Olist(_u14690), tc_List_Olist(_u14690)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14690), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14690), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14690), tc_List_Olist(_u14690)), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14690), tc_List_Olist(_u14690)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14690), tc_HOL_Obool)), tc_List_Olist(_u14690)), c_COMBC(tc_List_Olist(_u14690), tc_fun(tc_prod(tc_List_Olist(_u14690), tc_List_Olist(_u14690)), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14690), tc_prod(tc_List_Olist(_u14690), tc_List_Olist(_u14690))), tc_fun(tc_List_Olist(_u14690), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14690), tc_List_Olist(_u14690)), tc_HOL_Obool), tc_HOL_Obool)), tc_List_Olist(_u14690)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u14690), tc_List_Olist(_u14690)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u14690), tc_List_Olist(_u14690)), tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u14690)), c_member(tc_prod(tc_List_Olist(_u14690), tc_List_Olist(_u14690))))), c_Product__Type_OPair(tc_List_Olist(_u14690), tc_List_Olist(_u14690))))), c_List_Olex(_u14690, _u14691))))))) )).
% 19.53/19.78 cnf(matrix-6449, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14692)), c_List_Osublist(_u14692, _u14693, _u14694)) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14692)), _u14693)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u14694))))) )).
% 19.53/19.78 cnf(matrix-6450, plain, ( ( hAPP(c_List_Olexn(_u14695, _u14696), hAPP(c_Nat_OSuc, _u14697)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(_u14695), tc_List_Olist(_u14695)), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_prod(tc_prod(_u14695, tc_List_Olist(_u14695)), tc_prod(_u14695, tc_List_Olist(_u14695))), tc_prod(tc_List_Olist(_u14695), tc_List_Olist(_u14695)), c_Product__Type_Omap__pair(tc_prod(_u14695, tc_List_Olist(_u14695)), tc_List_Olist(_u14695), tc_prod(_u14695, tc_List_Olist(_u14695)), tc_List_Olist(_u14695), hAPP(c_Product__Type_Oprod_Oprod__case(_u14695, tc_List_Olist(_u14695), tc_List_Olist(_u14695)), c_List_Olist_OCons(_u14695)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14695, tc_List_Olist(_u14695), tc_List_Olist(_u14695)), c_List_Olist_OCons(_u14695)))), c_Wellfounded_Olex__prod(_u14695, tc_List_Olist(_u14695), _u14696, hAPP(c_List_Olexn(_u14695, _u14696), _u14697)))), hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u14695), tc_List_Olist(_u14695))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u14695), tc_List_Olist(_u14695), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14695), tc_fun(tc_List_Olist(_u14695), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14695), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14695), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14695), tc_HOL_Obool)), tc_List_Olist(_u14695)), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u14695))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14695)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14695), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14695)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u14695)))), hAPP(c_Nat_OSuc, _u14697))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14695), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u14695)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u14695)))), hAPP(c_Nat_OSuc, _u14697))))))) )).
% 19.53/19.78 cnf(matrix-6451, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14698)), _u14699)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14698)), _u14700))) | ( _u14699 != hAPP(hAPP(c_List_Olist_OCons(_u14698), _u14701), _u14700)) )).
% 19.53/19.78 cnf(matrix-6452, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u14707), _u14709), _u14711) != hAPP(hAPP(c_List_Olist_OCons(_u14707), _u14713), _u14715)) | ( _u14709 = _u14713) )).
% 19.53/19.78 cnf(matrix-6453, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u14707), _u14709), _u14711) != hAPP(hAPP(c_List_Olist_OCons(_u14707), _u14713), _u14715)) | ( _u14711 = _u14715) )).
% 19.53/19.78 cnf(matrix-6454, plain, ( ( _u14710 != _u14714) | ( _u14712 != _u14716) | ( hAPP(hAPP(c_List_Olist_OCons(_u14708), _u14710), _u14712) = hAPP(hAPP(c_List_Olist_OCons(_u14708), _u14714), _u14716)) )).
% 19.53/19.78 cnf(matrix-6455, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u14717), _u14718), _u14719) != _u14719) )).
% 19.53/19.78 cnf(matrix-6456, plain, ( ( _u14720 != hAPP(hAPP(c_List_Olist_OCons(_u14721), _u14722), _u14720)) )).
% 19.53/19.78 cnf(matrix-6457, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14723)), hAPP(hAPP(c_List_Olist_OCons(_u14723), _u14724), _u14725)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14723)), _u14725)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 19.53/19.78 cnf(matrix-6458, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14732), tc_List_Olist(_u14732))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14732), tc_List_Olist(_u14732)), hAPP(hAPP(c_List_Olist_OCons(_u14732), _u14734), _u14736)), hAPP(hAPP(c_List_Olist_OCons(_u14732), _u14738), _u14740))), c_List_Olex(_u14732, _u14742))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14732, _u14732)), hAPP(hAPP(c_Product__Type_OPair(_u14732, _u14732), _u14734), _u14738)), _u14742)) | ( _u14734 = _u14738) )).
% 19.53/19.78 cnf(matrix-6459, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14732), tc_List_Olist(_u14732))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14732), tc_List_Olist(_u14732)), hAPP(hAPP(c_List_Olist_OCons(_u14732), _u14734), _u14736)), hAPP(hAPP(c_List_Olist_OCons(_u14732), _u14738), _u14740))), c_List_Olex(_u14732, _u14742))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14732, _u14732)), hAPP(hAPP(c_Product__Type_OPair(_u14732, _u14732), _u14734), _u14738)), _u14742)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14732), tc_List_Olist(_u14732))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14732), tc_List_Olist(_u14732)), _u14736), _u14740)), c_List_Olex(_u14732, _u14742))) )).
% 19.53/19.78 cnf(matrix-6460, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14732), tc_List_Olist(_u14732))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14732), tc_List_Olist(_u14732)), hAPP(hAPP(c_List_Olist_OCons(_u14732), _u14734), _u14736)), hAPP(hAPP(c_List_Olist_OCons(_u14732), _u14738), _u14740))), c_List_Olex(_u14732, _u14742))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14732)), _u14736) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14732)), _u14740)) | ( _u14734 = _u14738) )).
% 19.53/19.78 cnf(matrix-6461, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14732), tc_List_Olist(_u14732))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14732), tc_List_Olist(_u14732)), hAPP(hAPP(c_List_Olist_OCons(_u14732), _u14734), _u14736)), hAPP(hAPP(c_List_Olist_OCons(_u14732), _u14738), _u14740))), c_List_Olex(_u14732, _u14742))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14732)), _u14736) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14732)), _u14740)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14732), tc_List_Olist(_u14732))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14732), tc_List_Olist(_u14732)), _u14736), _u14740)), c_List_Olex(_u14732, _u14742))) )).
% 19.53/19.78 cnf(matrix-6462, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14733), tc_List_Olist(_u14733))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14733), tc_List_Olist(_u14733)), hAPP(hAPP(c_List_Olist_OCons(_u14733), _u14735), _u14737)), hAPP(hAPP(c_List_Olist_OCons(_u14733), _u14739), _u14741))), c_List_Olex(_u14733, _u14743))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14733, _u14733)), hAPP(hAPP(c_Product__Type_OPair(_u14733, _u14733), _u14735), _u14739)), _u14743)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14733)), _u14737) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14733)), _u14741)) )).
% 19.53/19.78 cnf(matrix-6463, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14733), tc_List_Olist(_u14733))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14733), tc_List_Olist(_u14733)), hAPP(hAPP(c_List_Olist_OCons(_u14733), _u14735), _u14737)), hAPP(hAPP(c_List_Olist_OCons(_u14733), _u14739), _u14741))), c_List_Olex(_u14733, _u14743))) | ( _u14735 != _u14739) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14733), tc_List_Olist(_u14733))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14733), tc_List_Olist(_u14733)), _u14737), _u14741)), c_List_Olex(_u14733, _u14743))) )).
% 19.53/19.78 cnf(matrix-6464, plain, ( ( c_List_Oset__Cons(_u14744, _u14745, _u14746) = hAPP(c_Set_OCollect(tc_List_Olist(_u14744)), hAPP(hAPP(c_COMBB(tc_fun(_u14744, tc_HOL_Obool), tc_HOL_Obool, tc_List_Olist(_u14744)), c_HOL_OEx(_u14744)), hAPP(hAPP(c_COMBB(tc_fun(_u14744, tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool)), tc_fun(_u14744, tc_HOL_Obool), tc_List_Olist(_u14744)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool), tc_HOL_Obool, _u14744), c_HOL_OEx(tc_List_Olist(_u14744)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14744), tc_fun(_u14744, tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool)), tc_fun(_u14744, tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14744, tc_fun(tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool))), tc_fun(tc_fun(_u14744, tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool)), tc_fun(_u14744, tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool))), tc_List_Olist(_u14744)), c_COMBS(_u14744, tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14744, tc_fun(tc_List_Olist(_u14744), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u14744, tc_fun(tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool))), tc_List_Olist(_u14744)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14744), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool)), _u14744), c_COMBS(tc_List_Olist(_u14744), tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14744, tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool)), tc_fun(_u14744, tc_fun(tc_List_Olist(_u14744), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_List_Olist(_u14744)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14744), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u14744), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u14744)), c_fconj))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14744), tc_fun(_u14744, tc_fun(tc_List_Olist(_u14744), tc_List_Olist(_u14744))), tc_fun(_u14744, tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(_u14744), tc_List_Olist(_u14744)), tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool)), tc_fun(tc_fun(_u14744, tc_fun(tc_List_Olist(_u14744), tc_List_Olist(_u14744))), tc_fun(_u14744, tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool))), tc_List_Olist(_u14744)), c_COMBB(tc_fun(tc_List_Olist(_u14744), tc_List_Olist(_u14744)), tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool), _u14744)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14744), tc_List_Olist(_u14744)), tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool)), tc_List_Olist(_u14744)), c_COMBB(tc_List_Olist(_u14744), tc_HOL_Obool, tc_List_Olist(_u14744))), c_fequal))), c_List_Olist_OCons(_u14744)))))), hAPP(hAPP(c_COMBC(_u14744, tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool), tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool)), _u14744), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u14744))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14744), c_fconj), hAPP(hAPP(c_COMBC(_u14744, tc_fun(_u14744, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14744)), _u14745)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u14744), tc_fun(tc_List_Olist(_u14744), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u14744))), _u14746))))))) )).
% 19.53/19.78 cnf(matrix-6465, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u14751), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u14753), _u14755))) | ( hAPP(c_Random_Opick(_u14753, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u14753)), _u14755), _u14757)), _u14751) = hAPP(c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u14753), _u14755)) )).
% 19.53/19.78 cnf(matrix-6466, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u14752), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u14754), _u14756))) | ( hAPP(c_Random_Opick(_u14754, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u14754)), _u14756), _u14758)), _u14752) = hAPP(c_Random_Opick(_u14754, _u14758), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u14752), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u14754), _u14756)))) )).
% 19.53/19.78 cnf(matrix-6467, plain, ( ( c_Random_Oselect__weight(_u14759, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u14759)), hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u14759), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u14760)), _u14761)) = c_Random_Oselect__weight(_u14759, _u14761)) )).
% 19.53/19.78 cnf(matrix-6468, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14768), tc_List_Olist(_u14768))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14768), tc_List_Olist(_u14768)), hAPP(hAPP(c_List_Olist_OCons(_u14768), _u14770), _u14772)), hAPP(hAPP(c_List_Olist_OCons(_u14768), _u14774), _u14776))), c_List_Olexord(_u14768, _u14778))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14768, _u14768)), hAPP(hAPP(c_Product__Type_OPair(_u14768, _u14768), _u14770), _u14774)), _u14778)) | ( _u14770 = _u14774) )).
% 19.53/19.78 cnf(matrix-6469, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14768), tc_List_Olist(_u14768))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14768), tc_List_Olist(_u14768)), hAPP(hAPP(c_List_Olist_OCons(_u14768), _u14770), _u14772)), hAPP(hAPP(c_List_Olist_OCons(_u14768), _u14774), _u14776))), c_List_Olexord(_u14768, _u14778))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14768, _u14768)), hAPP(hAPP(c_Product__Type_OPair(_u14768, _u14768), _u14770), _u14774)), _u14778)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14768), tc_List_Olist(_u14768))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14768), tc_List_Olist(_u14768)), _u14772), _u14776)), c_List_Olexord(_u14768, _u14778))) )).
% 19.53/19.78 cnf(matrix-6470, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14769), tc_List_Olist(_u14769))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14769), tc_List_Olist(_u14769)), hAPP(hAPP(c_List_Olist_OCons(_u14769), _u14771), _u14773)), hAPP(hAPP(c_List_Olist_OCons(_u14769), _u14775), _u14777))), c_List_Olexord(_u14769, _u14779))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14769, _u14769)), hAPP(hAPP(c_Product__Type_OPair(_u14769, _u14769), _u14771), _u14775)), _u14779)) )).
% 19.53/19.78 cnf(matrix-6471, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14769), tc_List_Olist(_u14769))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14769), tc_List_Olist(_u14769)), hAPP(hAPP(c_List_Olist_OCons(_u14769), _u14771), _u14773)), hAPP(hAPP(c_List_Olist_OCons(_u14769), _u14775), _u14777))), c_List_Olexord(_u14769, _u14779))) | ( _u14771 != _u14775) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14769), tc_List_Olist(_u14769))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14769), tc_List_Olist(_u14769)), _u14773), _u14777)), c_List_Olexord(_u14769, _u14779))) )).
% 19.53/19.78 cnf(matrix-6472, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14784), tc_List_Olist(_u14784))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14784), tc_List_Olist(_u14784)), _u14786), _u14788)), c_List_Olex(_u14784, _u14790))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14784), tc_List_Olist(_u14784))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14784), tc_List_Olist(_u14784)), _u14786), _u14788)), c_List_Olexord(_u14784, _u14790))) )).
% 19.53/19.78 cnf(matrix-6473, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14784), tc_List_Olist(_u14784))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14784), tc_List_Olist(_u14784)), _u14786), _u14788)), c_List_Olex(_u14784, _u14790))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14784)), _u14786) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14784)), _u14788)) )).
% 19.53/19.78 cnf(matrix-6474, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14785), tc_List_Olist(_u14785))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14785), tc_List_Olist(_u14785)), _u14787), _u14789)), c_List_Olexord(_u14785, _u14791))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14785)), _u14787) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14785)), _u14789)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14785), tc_List_Olist(_u14785))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14785), tc_List_Olist(_u14785)), _u14787), _u14789)), c_List_Olex(_u14785, _u14791))) )).
% 19.53/19.78 cnf(matrix-6475, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14792, _u14792)), hAPP(hAPP(c_Product__Type_OPair(_u14792, _u14792), _u14793), _u14794)), c_Transitive__Closure_Ortrancl(_u14792, _u14795))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14792), tc_List_Olist(_u14792))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14792), tc_List_Olist(_u14792)), _u14796), _u14797)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u14792), c_List_Olistrel1(_u14792, _u14795)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14792), tc_List_Olist(_u14792))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14792), tc_List_Olist(_u14792)), hAPP(hAPP(c_List_Olist_OCons(_u14792), _u14793), _u14796)), hAPP(hAPP(c_List_Olist_OCons(_u14792), _u14794), _u14797))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u14792), c_List_Olistrel1(_u14792, _u14795)))) )).
% 19.53/19.78 cnf(matrix-6476, plain, ( ( c_List_Olist_Olist__size(_u14798, _u14799, hAPP(hAPP(c_List_Olist_OCons(_u14798), _u14800), _u14801)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u14799, _u14800)), c_List_Olist_Olist__size(_u14798, _u14799, _u14801))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 19.53/19.78 cnf(matrix-6477, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14802), _u14803), c_Wellfounded_Oacc(_u14802, _u14804))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14802)), _u14805), c_Wellfounded_Oacc(tc_List_Olist(_u14802), c_List_Olistrel1(_u14802, _u14804)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14802)), hAPP(hAPP(c_List_Olist_OCons(_u14802), _u14803), _u14805)), c_Wellfounded_Oacc(tc_List_Olist(_u14802), c_List_Olistrel1(_u14802, _u14804)))) )).
% 19.53/19.78 cnf(matrix-6478, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u14806), tc_List_Olist(_u14806)), tc_HOL_Obool)), c_List_Olistrel1(_u14806, c_Transitive__Closure_Ortrancl(_u14806, _u14807))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u14806), c_List_Olistrel1(_u14806, _u14807)))) )).
% 19.53/19.78 cnf(matrix-6479, plain, ( ( c_List_Olistrel1(_u14808, hAPP(c_Relation_Oconverse(_u14808, _u14808), _u14809)) = hAPP(c_Relation_Oconverse(tc_List_Olist(_u14808), tc_List_Olist(_u14808)), c_List_Olistrel1(_u14808, _u14809))) )).
% 19.53/19.78 cnf(matrix-6480, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14810, _u14810), tc_HOL_Obool)), _u14811), _u14812)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u14810), tc_List_Olist(_u14810)), tc_HOL_Obool)), c_List_Olistrel1(_u14810, _u14811)), c_List_Olistrel1(_u14810, _u14812))) )).
% 19.53/19.78 cnf(matrix-6481, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14813), tc_List_Olist(_u14813))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14813), tc_List_Olist(_u14813)), _u14814), _u14815)), c_List_Olistrel1(_u14813, _u14816))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14813), tc_List_Olist(_u14813))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14813), tc_List_Olist(_u14813)), hAPP(hAPP(c_List_Olist_OCons(_u14813), _u14817), _u14814)), hAPP(hAPP(c_List_Olist_OCons(_u14813), _u14817), _u14815))), c_List_Olistrel1(_u14813, _u14816))) )).
% 19.53/19.78 cnf(matrix-6482, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14818), tc_List_Olist(_u14818))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14818), tc_List_Olist(_u14818)), _u14819), _u14820)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u14818), c_List_Olistrel1(_u14818, _u14821)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14818), tc_List_Olist(_u14818))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14818), tc_List_Olist(_u14818)), hAPP(hAPP(c_List_Olist_OCons(_u14818), _u14822), _u14819)), hAPP(hAPP(c_List_Olist_OCons(_u14818), _u14822), _u14820))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u14818), c_List_Olistrel1(_u14818, _u14821)))) )).
% 19.53/19.78 cnf(matrix-6483, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14823), tc_List_Olist(_u14823))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14823), tc_List_Olist(_u14823)), _u14824), _u14825)), c_List_Olistrel1(_u14823, _u14826))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14823)), _u14824) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14823)), _u14825)) )).
% 19.53/19.78 cnf(matrix-6484, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14827), tc_List_Olist(_u14827))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14827), tc_List_Olist(_u14827)), _u14828), _u14829)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u14827), c_List_Olistrel1(_u14827, _u14830)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14827)), _u14828) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14827)), _u14829)) )).
% 19.53/19.78 cnf(matrix-6485, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14835), tc_List_Olist(_u14835))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14835), tc_List_Olist(_u14835)), _u14837), _u14839)), c_List_Olistrel1(_u14835, hAPP(c_Relation_Oconverse(_u14835, _u14835), _u14841)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14835), tc_List_Olist(_u14835))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14835), tc_List_Olist(_u14835)), _u14837), _u14839)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u14835), tc_List_Olist(_u14835)), c_List_Olistrel1(_u14835, _u14841)))) )).
% 19.53/19.78 cnf(matrix-6486, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14836), tc_List_Olist(_u14836))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14836), tc_List_Olist(_u14836)), _u14838), _u14840)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u14836), tc_List_Olist(_u14836)), c_List_Olistrel1(_u14836, _u14842)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14836), tc_List_Olist(_u14836))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14836), tc_List_Olist(_u14836)), _u14838), _u14840)), c_List_Olistrel1(_u14836, hAPP(c_Relation_Oconverse(_u14836, _u14836), _u14842)))) )).
% 19.53/19.78 cnf(matrix-6487, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14843, _u14843)), hAPP(hAPP(c_Product__Type_OPair(_u14843, _u14843), _u14844), _u14845)), _u14846)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14843), tc_List_Olist(_u14843))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14843), tc_List_Olist(_u14843)), hAPP(hAPP(c_List_Olist_OCons(_u14843), _u14844), _u14847)), hAPP(hAPP(c_List_Olist_OCons(_u14843), _u14845), _u14847))), c_List_Olistrel1(_u14843, _u14846))) )).
% 19.53/19.78 cnf(matrix-6488, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14854), tc_List_Olist(_u14854))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14854), tc_List_Olist(_u14854)), hAPP(hAPP(c_List_Olist_OCons(_u14854), _u14856), _u14858)), hAPP(hAPP(c_List_Olist_OCons(_u14854), _u14860), _u14862))), c_List_Olistrel1(_u14854, _u14864))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14854, _u14854)), hAPP(hAPP(c_Product__Type_OPair(_u14854, _u14854), _u14856), _u14860)), _u14864)) | ( _u14856 = _u14860) )).
% 19.53/19.78 cnf(matrix-6489, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14854), tc_List_Olist(_u14854))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14854), tc_List_Olist(_u14854)), hAPP(hAPP(c_List_Olist_OCons(_u14854), _u14856), _u14858)), hAPP(hAPP(c_List_Olist_OCons(_u14854), _u14860), _u14862))), c_List_Olistrel1(_u14854, _u14864))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14854, _u14854)), hAPP(hAPP(c_Product__Type_OPair(_u14854, _u14854), _u14856), _u14860)), _u14864)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14854), tc_List_Olist(_u14854))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14854), tc_List_Olist(_u14854)), _u14858), _u14862)), c_List_Olistrel1(_u14854, _u14864))) )).
% 19.53/19.78 cnf(matrix-6490, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14854), tc_List_Olist(_u14854))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14854), tc_List_Olist(_u14854)), hAPP(hAPP(c_List_Olist_OCons(_u14854), _u14856), _u14858)), hAPP(hAPP(c_List_Olist_OCons(_u14854), _u14860), _u14862))), c_List_Olistrel1(_u14854, _u14864))) | ( _u14858 = _u14862) | ( _u14856 = _u14860) )).
% 19.53/19.78 cnf(matrix-6491, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14854), tc_List_Olist(_u14854))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14854), tc_List_Olist(_u14854)), hAPP(hAPP(c_List_Olist_OCons(_u14854), _u14856), _u14858)), hAPP(hAPP(c_List_Olist_OCons(_u14854), _u14860), _u14862))), c_List_Olistrel1(_u14854, _u14864))) | ( _u14858 = _u14862) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14854), tc_List_Olist(_u14854))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14854), tc_List_Olist(_u14854)), _u14858), _u14862)), c_List_Olistrel1(_u14854, _u14864))) )).
% 19.53/19.78 cnf(matrix-6492, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14855), tc_List_Olist(_u14855))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14855), tc_List_Olist(_u14855)), hAPP(hAPP(c_List_Olist_OCons(_u14855), _u14857), _u14859)), hAPP(hAPP(c_List_Olist_OCons(_u14855), _u14861), _u14863))), c_List_Olistrel1(_u14855, _u14865))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14855, _u14855)), hAPP(hAPP(c_Product__Type_OPair(_u14855, _u14855), _u14857), _u14861)), _u14865)) | ( _u14859 != _u14863) )).
% 19.53/19.78 cnf(matrix-6493, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14855), tc_List_Olist(_u14855))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14855), tc_List_Olist(_u14855)), hAPP(hAPP(c_List_Olist_OCons(_u14855), _u14857), _u14859)), hAPP(hAPP(c_List_Olist_OCons(_u14855), _u14861), _u14863))), c_List_Olistrel1(_u14855, _u14865))) | ( _u14857 != _u14861) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14855), tc_List_Olist(_u14855))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14855), tc_List_Olist(_u14855)), _u14859), _u14863)), c_List_Olistrel1(_u14855, _u14865))) )).
% 19.53/19.78 cnf(matrix-6494, plain, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u14866), tc_List_Olist(_u14866), c_List_Olistrel(_u14866, _u14867)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u14866)), hAPP(hAPP(c_List_Olist_OCons(_u14866), _u14868), _u14869)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u14866), tc_HOL_Obool)))) = c_List_Oset__Cons(_u14866, hAPP(c_Relation_OImage(_u14866, _u14866, _u14867), hAPP(hAPP(c_Set_Oinsert(_u14866), _u14868), c_Orderings_Obot__class_Obot(tc_fun(_u14866, tc_HOL_Obool)))), hAPP(c_Relation_OImage(tc_List_Olist(_u14866), tc_List_Olist(_u14866), c_List_Olistrel(_u14866, _u14867)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u14866)), _u14869), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u14866), tc_HOL_Obool)))))) )).
% 19.53/19.78 cnf(matrix-6495, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14871, _u14871)), hAPP(hAPP(c_Product__Type_OPair(_u14871, _u14871), skolem388(_u14873, _u14872, _u14871)), skolem388(_u14873, _u14872, _u14871))), _u14872)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14871), tc_List_Olist(_u14871))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14871), tc_List_Olist(_u14871)), _u14873), _u14873)), c_List_Olexord(_u14871, _u14872))) )).
% 19.53/19.78 cnf(matrix-6496, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14874), tc_List_Olist(_u14874))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14874), tc_List_Olist(_u14874)), _u14875), _u14875)), c_List_Olistrel(_u14874, c_Transitive__Closure_Ortrancl(_u14874, _u14876)))) )).
% 19.53/19.78 cnf(matrix-6497, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14877, _u14877), tc_HOL_Obool)), _u14878), _u14879)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u14877), tc_List_Olist(_u14877)), tc_HOL_Obool)), c_List_Olistrel(_u14877, _u14878)), c_List_Olistrel(_u14877, _u14879))) )).
% 19.53/19.78 cnf(matrix-6498, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u14880), tc_List_Olist(_u14880)), tc_HOL_Obool)), c_List_Olistrel(_u14880, _u14881)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u14880), c_List_Olistrel1(_u14880, _u14881)))) )).
% 19.53/19.78 cnf(matrix-6499, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14882), tc_List_Olist(_u14882))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14882), tc_List_Olist(_u14882)), _u14883), _u14884)), c_List_Olistrel(_u14882, _u14885))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14882)), _u14883) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14882)), _u14884)) )).
% 19.53/19.78 cnf(matrix-6500, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14886), tc_List_Olist(_u14886))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14886), tc_List_Olist(_u14886)), _u14887), _u14888)), c_List_Olistrel(_u14886, c_Transitive__Closure_Ortrancl(_u14886, _u14889)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14886), tc_List_Olist(_u14886))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14886), tc_List_Olist(_u14886)), _u14888), _u14890)), c_List_Olistrel(_u14886, c_Transitive__Closure_Ortrancl(_u14886, _u14889)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14886), tc_List_Olist(_u14886))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14886), tc_List_Olist(_u14886)), _u14887), _u14890)), c_List_Olistrel(_u14886, c_Transitive__Closure_Ortrancl(_u14886, _u14889)))) )).
% 19.53/19.78 cnf(matrix-6501, plain, ( ( c_List_Olistrel(_u14891, c_Transitive__Closure_Ortrancl(_u14891, _u14892)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(_u14891), c_List_Olistrel1(_u14891, _u14892))) )).
% 19.53/19.78 cnf(matrix-6502, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14893), tc_List_Olist(_u14893))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14893), tc_List_Olist(_u14893)), _u14894), _u14895)), c_List_Olistrel1(_u14893, _u14896))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14893), tc_List_Olist(_u14893))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14893), tc_List_Olist(_u14893)), _u14894), _u14895)), c_List_Olistrel(_u14893, c_Transitive__Closure_Ortrancl(_u14893, _u14896)))) )).
% 19.53/19.78 cnf(matrix-6503, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14897, _u14897), tc_HOL_Obool)), _u14898), _u14899)) | ~c_Relation_Orefl__on(_u14897, c_Orderings_Otop__class_Otop(tc_fun(_u14897, tc_HOL_Obool)), _u14899) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u14897), tc_List_Olist(_u14897)), tc_HOL_Obool)), c_List_Olistrel1(_u14897, _u14898)), c_List_Olistrel(_u14897, _u14899))) )).
% 19.53/19.78 cnf(matrix-6504, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14900), tc_List_Olist(_u14900))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14900), tc_List_Olist(_u14900)), _u14901), _u14902)), c_List_Olistrel(_u14900, _u14903))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14900), tc_List_Olist(_u14900))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14900), tc_List_Olist(_u14900)), _u14901), _u14902)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u14900), c_List_Olistrel1(_u14900, _u14903)))) )).
% 19.53/19.78 cnf(matrix-6505, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14904, _u14904)), hAPP(hAPP(c_Product__Type_OPair(_u14904, _u14904), _u14905), _u14906)), _u14907)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14904), tc_List_Olist(_u14904))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14904), tc_List_Olist(_u14904)), _u14908), _u14909)), c_List_Olistrel(_u14904, _u14907))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14904), tc_List_Olist(_u14904))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14904), tc_List_Olist(_u14904)), hAPP(hAPP(c_List_Olist_OCons(_u14904), _u14905), _u14908)), hAPP(hAPP(c_List_Olist_OCons(_u14904), _u14906), _u14909))), c_List_Olistrel(_u14904, _u14907))) )).
% 19.53/19.78 cnf(matrix-6506, plain, ( ~c_List_Olistrelp(_u14914, hAPP(hAPP(c_COMBC(_u14914, tc_fun(tc_prod(_u14914, _u14914), tc_HOL_Obool), tc_fun(_u14914, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14914, tc_fun(tc_fun(tc_prod(_u14914, _u14914), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14914, _u14914), tc_HOL_Obool), tc_fun(_u14914, tc_HOL_Obool)), _u14914), c_COMBC(_u14914, tc_fun(tc_prod(_u14914, _u14914), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14914, tc_prod(_u14914, _u14914)), tc_fun(_u14914, tc_fun(tc_fun(tc_prod(_u14914, _u14914), tc_HOL_Obool), tc_HOL_Obool)), _u14914), hAPP(c_COMBB(tc_prod(_u14914, _u14914), tc_fun(tc_fun(tc_prod(_u14914, _u14914), tc_HOL_Obool), tc_HOL_Obool), _u14914), c_member(tc_prod(_u14914, _u14914)))), c_Product__Type_OPair(_u14914, _u14914)))), _u14916), _u14918, _u14920) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14914), tc_List_Olist(_u14914))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14914), tc_List_Olist(_u14914)), _u14918), _u14920)), c_List_Olistrel(_u14914, _u14916))) )).
% 19.53/19.78 cnf(matrix-6507, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14915), tc_List_Olist(_u14915))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14915), tc_List_Olist(_u14915)), _u14919), _u14921)), c_List_Olistrel(_u14915, _u14917))) | c_List_Olistrelp(_u14915, hAPP(hAPP(c_COMBC(_u14915, tc_fun(tc_prod(_u14915, _u14915), tc_HOL_Obool), tc_fun(_u14915, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14915, tc_fun(tc_fun(tc_prod(_u14915, _u14915), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14915, _u14915), tc_HOL_Obool), tc_fun(_u14915, tc_HOL_Obool)), _u14915), c_COMBC(_u14915, tc_fun(tc_prod(_u14915, _u14915), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14915, tc_prod(_u14915, _u14915)), tc_fun(_u14915, tc_fun(tc_fun(tc_prod(_u14915, _u14915), tc_HOL_Obool), tc_HOL_Obool)), _u14915), hAPP(c_COMBB(tc_prod(_u14915, _u14915), tc_fun(tc_fun(tc_prod(_u14915, _u14915), tc_HOL_Obool), tc_HOL_Obool), _u14915), c_member(tc_prod(_u14915, _u14915)))), c_Product__Type_OPair(_u14915, _u14915)))), _u14917), _u14919, _u14921) )).
% 19.53/19.78 cnf(matrix-6508, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14924), tc_List_Olist(_u14924))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14924), tc_List_Olist(_u14924)), _u14925), hAPP(hAPP(c_List_Olist_OCons(_u14924), _u14926), _u14927))), c_List_Olistrel(_u14924, _u14928))) | ( _u14925 = hAPP(hAPP(c_List_Olist_OCons(_u14924), skolem389(_u14928, _u14927, _u14926, _u14925, _u14924)), skolem390(_u14928, _u14927, _u14926, _u14925, _u14924))) )).
% 19.53/19.78 cnf(matrix-6509, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14924), tc_List_Olist(_u14924))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14924), tc_List_Olist(_u14924)), _u14925), hAPP(hAPP(c_List_Olist_OCons(_u14924), _u14926), _u14927))), c_List_Olistrel(_u14924, _u14928))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14924, _u14924)), hAPP(hAPP(c_Product__Type_OPair(_u14924, _u14924), skolem389(_u14928, _u14927, _u14926, _u14925, _u14924)), _u14926)), _u14928)) )).
% 19.53/19.78 cnf(matrix-6510, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14924), tc_List_Olist(_u14924))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14924), tc_List_Olist(_u14924)), _u14925), hAPP(hAPP(c_List_Olist_OCons(_u14924), _u14926), _u14927))), c_List_Olistrel(_u14924, _u14928))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14924), tc_List_Olist(_u14924))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14924), tc_List_Olist(_u14924)), skolem390(_u14928, _u14927, _u14926, _u14925, _u14924)), _u14927)), c_List_Olistrel(_u14924, _u14928))) )).
% 19.53/19.78 cnf(matrix-6511, plain, ( ~c_List_Olistrelp(_u14935, _u14937, hAPP(hAPP(c_List_Olist_OCons(_u14935), _u14939), _u14941), hAPP(hAPP(c_List_Olist_OCons(_u14935), _u14943), _u14945)) | hBOOL(hAPP(hAPP(_u14937, _u14939), _u14943)) )).
% 19.53/19.78 cnf(matrix-6512, plain, ( ~c_List_Olistrelp(_u14935, _u14937, hAPP(hAPP(c_List_Olist_OCons(_u14935), _u14939), _u14941), hAPP(hAPP(c_List_Olist_OCons(_u14935), _u14943), _u14945)) | c_List_Olistrelp(_u14935, _u14937, _u14941, _u14945) )).
% 19.53/19.78 cnf(matrix-6513, plain, ( ~hBOOL(hAPP(hAPP(_u14938, _u14940), _u14944)) | ~c_List_Olistrelp(_u14936, _u14938, _u14942, _u14946) | c_List_Olistrelp(_u14936, _u14938, hAPP(hAPP(c_List_Olist_OCons(_u14936), _u14940), _u14942), hAPP(hAPP(c_List_Olist_OCons(_u14936), _u14944), _u14946)) )).
% 19.53/19.78 cnf(matrix-6514, plain, ( ~hBOOL(hAPP(hAPP(_u14947, _u14948), _u14949)) | ~c_List_Olistrelp(_u14950, _u14947, _u14951, _u14952) | c_List_Olistrelp(_u14950, _u14947, hAPP(hAPP(c_List_Olist_OCons(_u14950), _u14948), _u14951), hAPP(hAPP(c_List_Olist_OCons(_u14950), _u14949), _u14952)) )).
% 19.53/19.78 cnf(matrix-6515, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14955), tc_List_Olist(_u14955))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14955), tc_List_Olist(_u14955)), hAPP(hAPP(c_List_Olist_OCons(_u14955), _u14956), _u14957)), _u14958)), c_List_Olistrel(_u14955, _u14959))) | ( _u14958 = hAPP(hAPP(c_List_Olist_OCons(_u14955), skolem391(_u14959, _u14958, _u14957, _u14956, _u14955)), skolem392(_u14959, _u14958, _u14957, _u14956, _u14955))) )).
% 19.53/19.78 cnf(matrix-6516, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14955), tc_List_Olist(_u14955))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14955), tc_List_Olist(_u14955)), hAPP(hAPP(c_List_Olist_OCons(_u14955), _u14956), _u14957)), _u14958)), c_List_Olistrel(_u14955, _u14959))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14955, _u14955)), hAPP(hAPP(c_Product__Type_OPair(_u14955, _u14955), _u14956), skolem391(_u14959, _u14958, _u14957, _u14956, _u14955))), _u14959)) )).
% 19.53/19.78 cnf(matrix-6517, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14955), tc_List_Olist(_u14955))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14955), tc_List_Olist(_u14955)), hAPP(hAPP(c_List_Olist_OCons(_u14955), _u14956), _u14957)), _u14958)), c_List_Olistrel(_u14955, _u14959))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14955), tc_List_Olist(_u14955))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14955), tc_List_Olist(_u14955)), _u14957), skolem392(_u14959, _u14958, _u14957, _u14956, _u14955))), c_List_Olistrel(_u14955, _u14959))) )).
% 19.53/19.78 cnf(matrix-6518, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14960, _u14960), tc_HOL_Obool)), _u14961), hAPP(hAPP(c_Product__Type_OSigma(_u14960, _u14960), _u14962), hAPP(c_COMBK(tc_fun(_u14960, tc_HOL_Obool), _u14960), _u14962)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u14960), tc_List_Olist(_u14960)), tc_HOL_Obool)), c_List_Olistrel(_u14960, _u14961)), hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(_u14960), tc_List_Olist(_u14960)), c_List_Olists(_u14960, _u14962)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u14960), tc_HOL_Obool), tc_List_Olist(_u14960)), c_List_Olists(_u14960, _u14962))))) )).
% 19.53/19.78 cnf(matrix-6519, plain, ( ( c_List_Olists(_u14963, c_Orderings_Otop__class_Otop(tc_fun(_u14963, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u14963), tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-6520, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14964, tc_HOL_Obool)), _u14965), _u14966)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u14964), tc_HOL_Obool)), c_List_Olists(_u14964, _u14965)), c_List_Olists(_u14964, _u14966))) )).
% 19.53/19.78 cnf(matrix-6521, plain, ( ~c_Equiv__Relations_Oequiv(_u14967, _u14968, _u14969) | c_Equiv__Relations_Oequiv(tc_List_Olist(_u14967), c_List_Olists(_u14967, _u14968), c_List_Olistrel(_u14967, _u14969)) )).
% 19.53/19.78 cnf(matrix-6522, plain, ( ~c_Relation_Orefl__on(_u14970, _u14971, _u14972) | c_Relation_Orefl__on(tc_List_Olist(_u14970), c_List_Olists(_u14970, _u14971), c_List_Olistrel(_u14970, _u14972)) )).
% 19.53/19.78 cnf(matrix-6523, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14977)), hAPP(hAPP(c_List_Olist_OCons(_u14977), _u14979), _u14981)), c_List_Olists(_u14977, _u14983))) | hBOOL(hAPP(hAPP(c_member(_u14977), _u14979), _u14983)) )).
% 19.53/19.78 cnf(matrix-6524, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14977)), hAPP(hAPP(c_List_Olist_OCons(_u14977), _u14979), _u14981)), c_List_Olists(_u14977, _u14983))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14977)), _u14981), c_List_Olists(_u14977, _u14983))) )).
% 19.53/19.78 cnf(matrix-6525, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14978), _u14980), _u14984)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14978)), _u14982), c_List_Olists(_u14978, _u14984))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14978)), hAPP(hAPP(c_List_Olist_OCons(_u14978), _u14980), _u14982)), c_List_Olists(_u14978, _u14984))) )).
% 19.53/19.78 cnf(matrix-6526, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14985)), _u14986), c_List_Olists(_u14985, c_Wellfounded_Oacc(_u14985, _u14987)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14985)), _u14986), c_Wellfounded_Oacc(tc_List_Olist(_u14985), c_List_Olistrel1(_u14985, _u14987)))) )).
% 19.53/19.78 cnf(matrix-6527, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14988)), _u14989), c_Wellfounded_Oacc(tc_List_Olist(_u14988), c_List_Olistrel1(_u14988, _u14990)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u14988)), _u14989), c_List_Olists(_u14988, c_Wellfounded_Oacc(_u14988, _u14990)))) )).
% 19.53/19.78 cnf(matrix-6528, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14997), tc_List_Olist(_u14997))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14997), tc_List_Olist(_u14997)), _u14999), _u15001)), c_List_Olistrel(_u14997, _u15003))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14997)), _u14999) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14997)), _u15001)) )).
% 19.53/19.78 cnf(matrix-6529, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14997), tc_List_Olist(_u14997))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14997), tc_List_Olist(_u14997)), _u14999), _u15001)), c_List_Olistrel(_u14997, _u15003))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14991), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14997)), _u14999))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14997, _u14997)), hAPP(hAPP(c_Product__Type_OPair(_u14997, _u14997), hAPP(hAPP(c_List_Onth(_u14997), _u14999), _u14991)), hAPP(hAPP(c_List_Onth(_u14997), _u15001), _u14991))), _u15003)) )).
% 19.53/19.78 cnf(matrix-6530, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14998), tc_List_Olist(_u14998))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14998), tc_List_Olist(_u14998)), _u15000), _u15002)), c_List_Olistrel(_u14998, _u15004))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14998)), _u15000) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14998)), _u15002)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem393(_u15004, _u15002, _u15000, _u14998)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14998)), _u15000))) )).
% 19.53/19.78 cnf(matrix-6531, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u14998), tc_List_Olist(_u14998))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u14998), tc_List_Olist(_u14998)), _u15000), _u15002)), c_List_Olistrel(_u14998, _u15004))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14998)), _u15000) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u14998)), _u15002)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14998, _u14998)), hAPP(hAPP(c_Product__Type_OPair(_u14998, _u14998), hAPP(hAPP(c_List_Onth(_u14998), _u15000), skolem393(_u15004, _u15002, _u15000, _u14998))), hAPP(hAPP(c_List_Onth(_u14998), _u15002), skolem393(_u15004, _u15002, _u15000, _u14998)))), _u15004)) )).
% 19.53/19.78 cnf(matrix-6532, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15007), tc_List_Olist(_u15007))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15007), tc_List_Olist(_u15007)), _u15009), _u15010)), c_List_Olexord(_u15007, _u15008))) | ( _u15009 = _u15010) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15007), tc_List_Olist(_u15007))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15007), tc_List_Olist(_u15007)), _u15010), _u15009)), c_List_Olexord(_u15007, _u15008))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15007, _u15007)), hAPP(hAPP(c_Product__Type_OPair(_u15007, _u15007), skolem394(_u15010, _u15009, _u15008, _u15007)), skolem395(_u15010, _u15009, _u15008, _u15007))), _u15008)) )).
% 19.53/19.78 cnf(matrix-6533, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15007), tc_List_Olist(_u15007))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15007), tc_List_Olist(_u15007)), _u15009), _u15010)), c_List_Olexord(_u15007, _u15008))) | ( _u15009 = _u15010) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15007), tc_List_Olist(_u15007))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15007), tc_List_Olist(_u15007)), _u15010), _u15009)), c_List_Olexord(_u15007, _u15008))) | ( skolem394(_u15010, _u15009, _u15008, _u15007) != skolem395(_u15010, _u15009, _u15008, _u15007)) )).
% 19.53/19.78 cnf(matrix-6534, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15007), tc_List_Olist(_u15007))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15007), tc_List_Olist(_u15007)), _u15009), _u15010)), c_List_Olexord(_u15007, _u15008))) | ( _u15009 = _u15010) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15007), tc_List_Olist(_u15007))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15007), tc_List_Olist(_u15007)), _u15010), _u15009)), c_List_Olexord(_u15007, _u15008))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15007, _u15007)), hAPP(hAPP(c_Product__Type_OPair(_u15007, _u15007), skolem395(_u15010, _u15009, _u15008, _u15007)), skolem394(_u15010, _u15009, _u15008, _u15007))), _u15008)) )).
% 19.53/19.78 cnf(matrix-6535, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u15011)), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15011), tc_HOL_Obool)))) )).
% 19.53/19.78 cnf(matrix-6536, plain, ( ( _u15017 != _u15019) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15021)), _u15017) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15021)), _u15019)) )).
% 19.53/19.78 cnf(matrix-6537, plain, ( ( _u15017 != _u15019) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15012), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15021)), _u15017))) | ( hAPP(hAPP(c_List_Onth(_u15021), _u15017), _u15012) = hAPP(hAPP(c_List_Onth(_u15021), _u15019), _u15012)) )).
% 19.53/19.78 cnf(matrix-6538, plain, ( ( _u15018 = _u15020) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15022)), _u15018) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15022)), _u15020)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem396(_u15022, _u15020, _u15018)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15022)), _u15018))) )).
% 19.53/19.78 cnf(matrix-6539, plain, ( ( _u15018 = _u15020) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15022)), _u15018) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15022)), _u15020)) | ( hAPP(hAPP(c_List_Onth(_u15022), _u15018), skolem396(_u15022, _u15020, _u15018)) != hAPP(hAPP(c_List_Onth(_u15022), _u15020), skolem396(_u15022, _u15020, _u15018))) )).
% 19.53/19.78 cnf(matrix-6540, plain, ( ( hAPP(hAPP(c_List_Onth(_u15023), hAPP(hAPP(c_List_Olist_OCons(_u15023), _u15024), _u15025)), hAPP(c_Nat_OSuc, _u15026)) = hAPP(hAPP(c_List_Onth(_u15023), _u15025), _u15026)) )).
% 19.53/19.78 cnf(matrix-6541, plain, ( ( hAPP(hAPP(c_List_Onth(_u15027), hAPP(hAPP(c_List_Olist_OCons(_u15027), _u15028), _u15029)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u15028) )).
% 19.53/19.78 cnf(matrix-6542, plain, ( ( hAPP(hAPP(c_List_Onth(_u15030), hAPP(hAPP(c_List_Olist_OCons(_u15030), _u15031), _u15032)), _u15033) = c_Nat_Onat_Onat__case(_u15030, _u15031, hAPP(c_List_Onth(_u15030), _u15032), _u15033)) )).
% 19.53/19.78 cnf(matrix-6543, plain, ( ( _u15038 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15040), hAPP(hAPP(c_List_Olist_OCons(_u15040), _u15042), _u15044)), _u15038) = _u15042) )).
% 19.53/19.78 cnf(matrix-6544, plain, ( ( _u15039 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15041), hAPP(hAPP(c_List_Olist_OCons(_u15041), _u15043), _u15045)), _u15039) = hAPP(hAPP(c_List_Onth(_u15041), _u15045), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15039), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 19.53/19.78 cnf(matrix-6545, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15050) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15052), hAPP(hAPP(c_List_Olist_OCons(_u15052), _u15054), _u15056)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15050)) = _u15054) )).
% 19.53/19.78 cnf(matrix-6546, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15051) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15053), hAPP(hAPP(c_List_Olist_OCons(_u15053), _u15055), _u15057)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15051)) = hAPP(hAPP(c_List_Onth(_u15053), _u15057), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15051)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 19.53/19.78 cnf(matrix-6547, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15064), tc_List_Olist(_u15064))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15064), tc_List_Olist(_u15064)), _u15066), _u15068)), c_List_Olexord(_u15064, _u15070))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15064)), _u15066)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15064)), _u15068))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem397(_u15070, _u15068, _u15066, _u15064)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15064)), _u15066)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15064)), _u15068)))) )).
% 19.53/19.78 cnf(matrix-6548, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15064), tc_List_Olist(_u15064))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15064), tc_List_Olist(_u15064)), _u15066), _u15068)), c_List_Olexord(_u15064, _u15070))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15064)), _u15066)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15064)), _u15068))) | ( hAPP(hAPP(c_List_Otake(_u15064), skolem397(_u15070, _u15068, _u15066, _u15064)), _u15066) = hAPP(hAPP(c_List_Otake(_u15064), skolem397(_u15070, _u15068, _u15066, _u15064)), _u15068)) )).
% 19.53/19.78 cnf(matrix-6549, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15064), tc_List_Olist(_u15064))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15064), tc_List_Olist(_u15064)), _u15066), _u15068)), c_List_Olexord(_u15064, _u15070))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15064)), _u15066)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15064)), _u15068))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15064, _u15064)), hAPP(hAPP(c_Product__Type_OPair(_u15064, _u15064), hAPP(hAPP(c_List_Onth(_u15064), _u15066), skolem397(_u15070, _u15068, _u15066, _u15064))), hAPP(hAPP(c_List_Onth(_u15064), _u15068), skolem397(_u15070, _u15068, _u15066, _u15064)))), _u15070)) )).
% 19.53/19.78 cnf(matrix-6550, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15064), tc_List_Olist(_u15064))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15064), tc_List_Olist(_u15064)), _u15066), _u15068)), c_List_Olexord(_u15064, _u15070))) | ( hAPP(hAPP(c_List_Otake(_u15064), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15064)), _u15066)), _u15068) = _u15066) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem397(_u15070, _u15068, _u15066, _u15064)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15064)), _u15066)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15064)), _u15068)))) )).
% 19.53/19.78 cnf(matrix-6551, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15064), tc_List_Olist(_u15064))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15064), tc_List_Olist(_u15064)), _u15066), _u15068)), c_List_Olexord(_u15064, _u15070))) | ( hAPP(hAPP(c_List_Otake(_u15064), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15064)), _u15066)), _u15068) = _u15066) | ( hAPP(hAPP(c_List_Otake(_u15064), skolem397(_u15070, _u15068, _u15066, _u15064)), _u15066) = hAPP(hAPP(c_List_Otake(_u15064), skolem397(_u15070, _u15068, _u15066, _u15064)), _u15068)) )).
% 19.53/19.78 cnf(matrix-6552, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15064), tc_List_Olist(_u15064))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15064), tc_List_Olist(_u15064)), _u15066), _u15068)), c_List_Olexord(_u15064, _u15070))) | ( hAPP(hAPP(c_List_Otake(_u15064), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15064)), _u15066)), _u15068) = _u15066) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15064, _u15064)), hAPP(hAPP(c_Product__Type_OPair(_u15064, _u15064), hAPP(hAPP(c_List_Onth(_u15064), _u15066), skolem397(_u15070, _u15068, _u15066, _u15064))), hAPP(hAPP(c_List_Onth(_u15064), _u15068), skolem397(_u15070, _u15068, _u15066, _u15064)))), _u15070)) )).
% 19.53/19.78 cnf(matrix-6553, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15065), tc_List_Olist(_u15065))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15065), tc_List_Olist(_u15065)), _u15067), _u15069)), c_List_Olexord(_u15065, _u15071))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15065)), _u15067)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15065)), _u15069))) | ( hAPP(hAPP(c_List_Otake(_u15065), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15065)), _u15067)), _u15069) != _u15067) )).
% 19.53/19.78 cnf(matrix-6554, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15065), tc_List_Olist(_u15065))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15065), tc_List_Olist(_u15065)), _u15067), _u15069)), c_List_Olexord(_u15065, _u15071))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15059), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15065)), _u15067)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15065)), _u15069)))) | ( hAPP(hAPP(c_List_Otake(_u15065), _u15059), _u15067) != hAPP(hAPP(c_List_Otake(_u15065), _u15059), _u15069)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15065, _u15065)), hAPP(hAPP(c_Product__Type_OPair(_u15065, _u15065), hAPP(hAPP(c_List_Onth(_u15065), _u15067), _u15059)), hAPP(hAPP(c_List_Onth(_u15065), _u15069), _u15059))), _u15071)) )).
% 19.53/19.78 cnf(matrix-6555, plain, ( ( hAPP(c_List_Oset(_u15072), c_List_Osublist(_u15072, _u15073, _u15074)) = hAPP(c_Set_OCollect(_u15072), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u15072), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u15072, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u15072), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u15072), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u15072, tc_fun(tc_Nat_Onat, _u15072), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15072, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u15072), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u15072), c_COMBB(_u15072, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u15072), _u15073))))), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15072)), _u15073)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u15074)))))) )).
% 19.53/19.78 cnf(matrix-6556, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u15075), hAPP(c_List_Oset(_u15075), _u15076))) )).
% 19.53/19.78 cnf(matrix-6557, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15077, tc_HOL_Obool)), hAPP(c_List_Oset(_u15077), _u15078)), hAPP(c_List_Oset(_u15077), hAPP(hAPP(c_List_Olist_OCons(_u15077), _u15079), _u15078)))) )).
% 19.53/19.78 cnf(matrix-6558, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15080)), _u15081)), _u15082)) | ( hAPP(hAPP(c_List_Otake(_u15080), _u15082), _u15081) = _u15081) )).
% 19.53/19.78 cnf(matrix-6559, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15083), _u15084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15085, tc_HOL_Obool)), hAPP(c_List_Oset(_u15085), hAPP(hAPP(c_List_Otake(_u15085), _u15083), _u15086))), hAPP(c_List_Oset(_u15085), hAPP(hAPP(c_List_Otake(_u15085), _u15084), _u15086)))) )).
% 19.53/19.78 cnf(matrix-6560, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15087, tc_HOL_Obool)), hAPP(c_List_Oset(_u15087), hAPP(hAPP(c_List_Otake(_u15087), _u15088), _u15089))), hAPP(c_List_Oset(_u15087), _u15089))) )).
% 19.53/19.78 cnf(matrix-6561, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15090, tc_HOL_Obool)), hAPP(c_List_Oset(_u15090), c_List_Osublist(_u15090, _u15091, _u15092))), hAPP(c_List_Oset(_u15090), _u15091))) )).
% 19.53/19.78 cnf(matrix-6562, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15093), _u15094)) | ( hAPP(hAPP(c_List_Onth(_u15095), hAPP(hAPP(c_List_Otake(_u15095), _u15094), _u15096)), _u15093) = hAPP(hAPP(c_List_Onth(_u15095), _u15096), _u15093)) )).
% 19.53/19.78 cnf(matrix-6563, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15097), _u15098), hAPP(c_List_Oset(_u15097), hAPP(hAPP(c_List_Olist_OCons(_u15097), _u15099), _u15100)))) | ( _u15098 = _u15099) | hBOOL(hAPP(hAPP(c_member(_u15097), _u15098), hAPP(c_List_Oset(_u15097), _u15100))) )).
% 19.53/19.78 cnf(matrix-6564, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15101), _u15102), hAPP(c_List_Oset(_u15101), c_List_Osublist(_u15101, _u15103, _u15104)))) | hBOOL(hAPP(hAPP(c_member(_u15101), _u15102), hAPP(c_List_Oset(_u15101), _u15103))) )).
% 19.53/19.78 cnf(matrix-6565, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15105), _u15106), hAPP(c_List_Oset(_u15105), hAPP(hAPP(c_List_Otake(_u15105), _u15107), _u15108)))) | hBOOL(hAPP(hAPP(c_member(_u15105), _u15106), hAPP(c_List_Oset(_u15105), _u15108))) )).
% 19.53/19.78 cnf(matrix-6566, plain, ( hBOOL(hAPP(hAPP(c_member(_u15109), _u15110), hAPP(c_List_Oset(_u15109), _u15111))) | ~hBOOL(hAPP(hAPP(c_member(_u15109), _u15110), hAPP(c_List_Oset(_u15109), c_List_Osublist(_u15109, _u15111, _u15112)))) )).
% 19.53/19.78 cnf(matrix-6567, plain, ( ( hAPP(hAPP(c_List_Otake(_u15113), hAPP(c_Nat_OSuc, _u15114)), hAPP(hAPP(c_List_Olist_OCons(_u15113), _u15115), _u15116)) = hAPP(hAPP(c_List_Olist_OCons(_u15113), _u15115), hAPP(hAPP(c_List_Otake(_u15113), _u15114), _u15116))) )).
% 19.53/19.78 cnf(matrix-6568, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15117)), hAPP(hAPP(c_List_Otake(_u15117), _u15118), _u15119)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15117)), _u15119)), _u15118)) )).
% 19.53/19.78 cnf(matrix-6569, plain, ( ( hAPP(hAPP(c_List_Otake(_u15120), _u15121), hAPP(hAPP(c_List_Otake(_u15120), _u15122), _u15123)) = hAPP(hAPP(c_List_Otake(_u15120), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u15121), _u15122)), _u15123)) )).
% 19.53/19.78 cnf(matrix-6570, plain, ( ( hAPP(c_List_Oset(_u15124), hAPP(hAPP(c_List_Olist_OCons(_u15124), _u15125), _u15126)) = hAPP(hAPP(c_Set_Oinsert(_u15124), _u15125), hAPP(c_List_Oset(_u15124), _u15126))) )).
% 19.53/19.78 cnf(matrix-6571, plain, ( ( c_List_Osublist(_u15127, _u15128, hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u15129)) = hAPP(hAPP(c_List_Otake(_u15127), _u15129), _u15128)) )).
% 19.53/19.78 cnf(matrix-6572, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u15130), hAPP(c_List_Oset(_u15130), _u15131))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15130)), _u15131))) )).
% 19.53/19.78 cnf(matrix-6573, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15133), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15139)), _u15141))) | hBOOL(hAPP(_u15143, hAPP(hAPP(c_List_Onth(_u15139), _u15141), _u15133))) | hBOOL(hAPP(hAPP(c_member(_u15139), skolem398(_u15143, _u15141, _u15139)), hAPP(c_List_Oset(_u15139), _u15141))) )).
% 19.53/19.78 cnf(matrix-6574, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15133), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15139)), _u15141))) | hBOOL(hAPP(_u15143, hAPP(hAPP(c_List_Onth(_u15139), _u15141), _u15133))) | ~hBOOL(hAPP(_u15143, skolem398(_u15143, _u15141, _u15139))) )).
% 19.53/19.78 cnf(matrix-6575, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15140), _u15135), hAPP(c_List_Oset(_u15140), _u15142))) | hBOOL(hAPP(_u15144, _u15135)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem399(_u15144, _u15142, _u15140)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15140)), _u15142))) )).
% 19.53/19.78 cnf(matrix-6576, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15140), _u15135), hAPP(c_List_Oset(_u15140), _u15142))) | hBOOL(hAPP(_u15144, _u15135)) | ~hBOOL(hAPP(_u15144, hAPP(hAPP(c_List_Onth(_u15140), _u15142), skolem399(_u15144, _u15142, _u15140)))) )).
% 19.53/19.78 cnf(matrix-6577, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15145), _u15146), hAPP(c_List_Oset(_u15145), _u15147))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15148), hAPP(_u15149, _u15146))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15148), c_List_Olist_Olist__size(_u15145, _u15149, _u15147))) )).
% 19.53/19.78 cnf(matrix-6578, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15150), _u15151), hAPP(c_List_Oset(_u15150), _u15152))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15153), hAPP(_u15154, _u15151))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15153), c_List_Olist_Olist__size(_u15150, _u15154, _u15152))) )).
% 19.53/19.78 cnf(matrix-6579, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15160)), _u15162), c_List_Olists(_u15160, _u15164))) | ~hBOOL(hAPP(hAPP(c_member(_u15160), _u15155), hAPP(c_List_Oset(_u15160), _u15162))) | hBOOL(hAPP(hAPP(c_member(_u15160), _u15155), _u15164)) )).
% 19.53/19.78 cnf(matrix-6580, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15161)), _u15163), c_List_Olists(_u15161, _u15165))) | hBOOL(hAPP(hAPP(c_member(_u15161), skolem400(_u15165, _u15163, _u15161)), hAPP(c_List_Oset(_u15161), _u15163))) )).
% 19.53/19.78 cnf(matrix-6581, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15161)), _u15163), c_List_Olists(_u15161, _u15165))) | ~hBOOL(hAPP(hAPP(c_member(_u15161), skolem400(_u15165, _u15163, _u15161)), _u15165)) )).
% 19.53/19.78 cnf(matrix-6582, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15166), _u15167), hAPP(c_List_Oset(_u15166), _u15168))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15166)), _u15168))) )).
% 19.53/19.78 cnf(matrix-6583, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15169), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15170)), _u15171))) | hBOOL(hAPP(hAPP(c_member(_u15170), hAPP(hAPP(c_List_Onth(_u15170), _u15171), _u15169)), hAPP(c_List_Oset(_u15170), _u15171))) )).
% 19.53/19.78 cnf(matrix-6584, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15177), _u15179), hAPP(c_List_Oset(_u15177), _u15181))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem401(_u15181, _u15179, _u15177)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15177)), _u15181))) )).
% 19.53/19.78 cnf(matrix-6585, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15177), _u15179), hAPP(c_List_Oset(_u15177), _u15181))) | ( hAPP(hAPP(c_List_Onth(_u15177), _u15181), skolem401(_u15181, _u15179, _u15177)) = _u15179) )).
% 19.53/19.78 cnf(matrix-6586, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15173), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15178)), _u15182))) | ( hAPP(hAPP(c_List_Onth(_u15178), _u15182), _u15173) != _u15180) | hBOOL(hAPP(hAPP(c_member(_u15178), _u15180), hAPP(c_List_Oset(_u15178), _u15182))) )).
% 19.53/19.78 cnf(matrix-6587, plain, ( ( c_List_Olists(_u15183, _u15184) = hAPP(c_Set_OCollect(tc_List_Olist(_u15183)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15183), tc_fun(_u15183, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15183, tc_HOL_Obool), tc_fun(tc_fun(_u15183, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15183)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u15183, tc_HOL_Obool))), c_List_Oset(_u15183))), _u15184))) )).
% 19.53/19.78 cnf(matrix-6588, plain, ( ( hAPP(c_List_Oset(_u15185), _u15186) = hAPP(c_Set_OCollect(_u15185), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u15185), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u15185, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u15185), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u15185), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u15185, tc_fun(tc_Nat_Onat, _u15185), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15185, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u15185), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u15185), c_COMBB(_u15185, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u15185), _u15186))))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15185)), _u15186)))))) )).
% 19.53/19.78 cnf(matrix-6589, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15187), _u15188)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u15187)), hAPP(c_Set_OCollect(tc_List_Olist(_u15187)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15187), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15187)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15187), tc_fun(_u15187, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15187, tc_HOL_Obool), tc_fun(tc_fun(_u15187, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15187)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u15187, tc_HOL_Obool))), c_List_Oset(_u15187))), _u15188))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15187), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15187)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u15187)))), _u15189))))) )).
% 19.53/19.78 cnf(matrix-6590, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15190), _u15191)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u15190)), hAPP(c_Set_OCollect(tc_List_Olist(_u15190)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15190), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15190)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15190), tc_fun(_u15190, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15190, tc_HOL_Obool), tc_fun(tc_fun(_u15190, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15190)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u15190, tc_HOL_Obool))), c_List_Oset(_u15190))), _u15191))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15190), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15190)), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u15190)))), _u15192))))) )).
% 19.53/19.78 cnf(matrix-6591, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15199), tc_List_Olist(_u15199))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15199), tc_List_Olist(_u15199)), _u15201), _u15203)), c_List_Olistrel(_u15199, _u15205))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15199)), _u15201) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15199)), _u15203)) )).
% 19.53/19.78 cnf(matrix-6592, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15199), tc_List_Olist(_u15199))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15199), tc_List_Olist(_u15199)), _u15201), _u15203)), c_List_Olistrel(_u15199, _u15205))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15199, _u15199)), _u15193), hAPP(c_List_Oset(tc_prod(_u15199, _u15199)), hAPP(hAPP(c_List_Ozip(_u15199, _u15199), _u15201), _u15203)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15199, _u15199, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15199, tc_fun(tc_prod(_u15199, _u15199), tc_HOL_Obool), tc_fun(_u15199, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15199, tc_fun(tc_fun(tc_prod(_u15199, _u15199), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15199, _u15199), tc_HOL_Obool), tc_fun(_u15199, tc_HOL_Obool)), _u15199), c_COMBC(_u15199, tc_fun(tc_prod(_u15199, _u15199), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15199, tc_prod(_u15199, _u15199)), tc_fun(_u15199, tc_fun(tc_fun(tc_prod(_u15199, _u15199), tc_HOL_Obool), tc_HOL_Obool)), _u15199), hAPP(c_COMBB(tc_prod(_u15199, _u15199), tc_fun(tc_fun(tc_prod(_u15199, _u15199), tc_HOL_Obool), tc_HOL_Obool), _u15199), c_member(tc_prod(_u15199, _u15199)))), c_Product__Type_OPair(_u15199, _u15199)))), _u15205)), _u15193)) )).
% 19.53/19.78 cnf(matrix-6593, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15200), tc_List_Olist(_u15200))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15200), tc_List_Olist(_u15200)), _u15202), _u15204)), c_List_Olistrel(_u15200, _u15206))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15200)), _u15202) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15200)), _u15204)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15200, _u15200)), skolem402(_u15206, _u15204, _u15202, _u15200)), hAPP(c_List_Oset(tc_prod(_u15200, _u15200)), hAPP(hAPP(c_List_Ozip(_u15200, _u15200), _u15202), _u15204)))) )).
% 19.53/19.78 cnf(matrix-6594, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15200), tc_List_Olist(_u15200))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15200), tc_List_Olist(_u15200)), _u15202), _u15204)), c_List_Olistrel(_u15200, _u15206))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15200)), _u15202) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15200)), _u15204)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15200, _u15200, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u15200, tc_fun(tc_prod(_u15200, _u15200), tc_HOL_Obool), tc_fun(_u15200, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15200, tc_fun(tc_fun(tc_prod(_u15200, _u15200), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15200, _u15200), tc_HOL_Obool), tc_fun(_u15200, tc_HOL_Obool)), _u15200), c_COMBC(_u15200, tc_fun(tc_prod(_u15200, _u15200), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15200, tc_prod(_u15200, _u15200)), tc_fun(_u15200, tc_fun(tc_fun(tc_prod(_u15200, _u15200), tc_HOL_Obool), tc_HOL_Obool)), _u15200), hAPP(c_COMBB(tc_prod(_u15200, _u15200), tc_fun(tc_fun(tc_prod(_u15200, _u15200), tc_HOL_Obool), tc_HOL_Obool), _u15200), c_member(tc_prod(_u15200, _u15200)))), c_Product__Type_OPair(_u15200, _u15200)))), _u15206)), skolem402(_u15206, _u15204, _u15202, _u15200))) )).
% 19.53/19.78 cnf(matrix-6595, plain, ( ( hAPP(c_List_Oset(tc_prod(_u15207, _u15208)), hAPP(hAPP(c_List_Ozip(_u15207, _u15208), _u15209), _u15210)) = hAPP(c_Set_OCollect(tc_prod(_u15207, _u15208)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u15207, _u15208)), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u15207, _u15208), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_prod(_u15207, _u15208)), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_prod(_u15207, _u15208)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(tc_prod(_u15207, _u15208), tc_fun(tc_Nat_Onat, tc_prod(_u15207, _u15208)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u15207, _u15208), tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_prod(_u15207, _u15208)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_prod(_u15207, _u15208)), c_COMBB(tc_prod(_u15207, _u15208), tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u15208, tc_prod(_u15207, _u15208)), hAPP(hAPP(c_COMBB(_u15207, tc_fun(_u15208, tc_prod(_u15207, _u15208)), tc_Nat_Onat), c_Product__Type_OPair(_u15207, _u15208)), hAPP(c_List_Onth(_u15207), _u15209))), hAPP(c_List_Onth(_u15208), _u15210)))))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15207)), _u15209)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15208)), _u15210))))))) )).
% 19.53/19.78 cnf(matrix-6596, plain, ( ( hAPP(hAPP(c_List_Otake(tc_prod(_u15211, _u15212)), _u15213), hAPP(hAPP(c_List_Ozip(_u15211, _u15212), _u15214), _u15215)) = hAPP(hAPP(c_List_Ozip(_u15211, _u15212), hAPP(hAPP(c_List_Otake(_u15211), _u15213), _u15214)), hAPP(hAPP(c_List_Otake(_u15212), _u15213), _u15215))) )).
% 19.53/19.78 cnf(matrix-6597, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_prod(_u15216, _u15217))), hAPP(hAPP(c_List_Ozip(_u15216, _u15217), _u15218), _u15219)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15216)), _u15218)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15217)), _u15219))) )).
% 19.53/19.78 cnf(matrix-6598, plain, ( ( hAPP(hAPP(c_List_Ozip(_u15220, _u15221), hAPP(hAPP(c_List_Olist_OCons(_u15220), _u15222), _u15223)), hAPP(hAPP(c_List_Olist_OCons(_u15221), _u15224), _u15225)) = hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u15220, _u15221)), hAPP(hAPP(c_Product__Type_OPair(_u15220, _u15221), _u15222), _u15224)), hAPP(hAPP(c_List_Ozip(_u15220, _u15221), _u15223), _u15225))) )).
% 19.53/19.78 cnf(matrix-6599, plain, ( ( _u15231 != _u15233) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15235)), _u15231) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15235)), _u15233)) )).
% 19.53/19.78 cnf(matrix-6600, plain, ( ( _u15231 != _u15233) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15235, _u15235)), _u15226), hAPP(c_List_Oset(tc_prod(_u15235, _u15235)), hAPP(hAPP(c_List_Ozip(_u15235, _u15235), _u15231), _u15233)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15235, _u15235, tc_HOL_Obool), c_fequal), _u15226)) )).
% 19.53/19.78 cnf(matrix-6601, plain, ( ( _u15232 = _u15234) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15236)), _u15232) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15236)), _u15234)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15236, _u15236)), skolem403(_u15236, _u15234, _u15232)), hAPP(c_List_Oset(tc_prod(_u15236, _u15236)), hAPP(hAPP(c_List_Ozip(_u15236, _u15236), _u15232), _u15234)))) )).
% 19.53/19.78 cnf(matrix-6602, plain, ( ( _u15232 = _u15234) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15236)), _u15232) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15236)), _u15234)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u15236, _u15236, tc_HOL_Obool), c_fequal), skolem403(_u15236, _u15234, _u15232))) )).
% 19.53/19.78 cnf(matrix-6603, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15241, _u15241)), hAPP(hAPP(c_Product__Type_OPair(_u15241, _u15241), _u15243), _u15245)), hAPP(c_List_Oset(tc_prod(_u15241, _u15241)), hAPP(hAPP(c_List_Ozip(_u15241, _u15241), _u15247), _u15247)))) | hBOOL(hAPP(hAPP(c_member(_u15241), _u15243), hAPP(c_List_Oset(_u15241), _u15247))) )).
% 19.53/19.78 cnf(matrix-6604, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15241, _u15241)), hAPP(hAPP(c_Product__Type_OPair(_u15241, _u15241), _u15243), _u15245)), hAPP(c_List_Oset(tc_prod(_u15241, _u15241)), hAPP(hAPP(c_List_Ozip(_u15241, _u15241), _u15247), _u15247)))) | ( _u15243 = _u15245) )).
% 19.53/19.78 cnf(matrix-6605, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15242), _u15244), hAPP(c_List_Oset(_u15242), _u15248))) | ( _u15244 != _u15246) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15242, _u15242)), hAPP(hAPP(c_Product__Type_OPair(_u15242, _u15242), _u15244), _u15246)), hAPP(c_List_Oset(tc_prod(_u15242, _u15242)), hAPP(hAPP(c_List_Ozip(_u15242, _u15242), _u15248), _u15248)))) )).
% 19.53/19.78 cnf(matrix-6606, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15249, _u15250)), hAPP(hAPP(c_Product__Type_OPair(_u15249, _u15250), _u15251), _u15252)), hAPP(c_List_Oset(tc_prod(_u15249, _u15250)), hAPP(hAPP(c_List_Ozip(_u15249, _u15250), _u15253), _u15254)))) | hBOOL(hAPP(hAPP(c_member(_u15249), _u15251), hAPP(c_List_Oset(_u15249), _u15253))) )).
% 19.53/19.78 cnf(matrix-6607, plain, ( hBOOL(hAPP(hAPP(c_member(_u15256), _u15258), hAPP(c_List_Oset(_u15256), _u15260))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15255, _u15256)), hAPP(hAPP(c_Product__Type_OPair(_u15255, _u15256), _u15257), _u15258)), hAPP(c_List_Oset(tc_prod(_u15255, _u15256)), hAPP(hAPP(c_List_Ozip(_u15255, _u15256), _u15259), _u15260)))) )).
% 19.53/19.78 cnf(matrix-6608, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15261, _u15262)), hAPP(hAPP(c_Product__Type_OPair(_u15261, _u15262), _u15263), _u15264)), hAPP(c_List_Oset(tc_prod(_u15261, _u15262)), hAPP(hAPP(c_List_Ozip(_u15261, _u15262), _u15265), _u15266)))) | hBOOL(hAPP(hAPP(c_member(_u15261), _u15263), hAPP(c_List_Oset(_u15261), _u15265))) )).
% 19.53/19.78 cnf(matrix-6609, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15261, _u15262)), hAPP(hAPP(c_Product__Type_OPair(_u15261, _u15262), _u15263), _u15264)), hAPP(c_List_Oset(tc_prod(_u15261, _u15262)), hAPP(hAPP(c_List_Ozip(_u15261, _u15262), _u15265), _u15266)))) | hBOOL(hAPP(hAPP(c_member(_u15262), _u15264), hAPP(c_List_Oset(_u15262), _u15266))) )).
% 19.53/19.78 cnf(matrix-6610, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15267), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15268)), _u15269))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15267), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15270)), _u15271))) | ( hAPP(hAPP(c_List_Onth(tc_prod(_u15268, _u15270)), hAPP(hAPP(c_List_Ozip(_u15268, _u15270), _u15269), _u15271)), _u15267) = hAPP(hAPP(c_Product__Type_OPair(_u15268, _u15270), hAPP(hAPP(c_List_Onth(_u15268), _u15269), _u15267)), hAPP(hAPP(c_List_Onth(_u15270), _u15271), _u15267))) )).
% 19.53/19.78 cnf(matrix-6611, plain, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u15272, _u15273) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15272), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u15273), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 19.53/19.78 cnf(matrix-6612, plain, ( ~class_Groups_Ocomm__monoid__add(_u15274) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15274), _u15275) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u15274), hAPP(c_List_Onth(_u15274), _u15275)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15274)), _u15275)))) )).
% 19.53/19.78 cnf(matrix-6613, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u15276, _u15277) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15276, _u15277))) )).
% 19.53/19.78 cnf(matrix-6614, plain, ( ( hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15278, _u15279)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u15278, _u15279)) )).
% 19.53/19.78 cnf(matrix-6615, plain, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15283) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u15280), hAPP(c_List_Oset(tc_Nat_Onat), _u15283))) | ( _u15280 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.78 cnf(matrix-6616, plain, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15284) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem404(_u15284)), hAPP(c_List_Oset(tc_Nat_Onat), _u15284))) )).
% 19.53/19.78 cnf(matrix-6617, plain, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15284) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem404(_u15284) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.78 cnf(matrix-6618, plain, ( ~class_Groups_Omonoid__add(_u15285) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15285), hAPP(hAPP(c_List_Olist_OCons(_u15285), _u15286), _u15287)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15285), _u15286), hAPP(c_List_Omonoid__add__class_Olistsum(_u15285), _u15287))) )).
% 19.53/19.78 cnf(matrix-6619, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15288), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u15289))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u15289), _u15288)), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15289))) )).
% 19.53/19.78 cnf(matrix-6620, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u15290), _u15291) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u15290, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u15291), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 19.53/19.78 cnf(matrix-6621, plain, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u15292, _u15293) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15292), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u15293))) )).
% 19.53/19.78 cnf(matrix-6622, plain, ( ~c_List_Onat__list(_u15295) | c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u15295)) )).
% 19.53/19.78 cnf(matrix-6623, plain, ( ~c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u15296)) | c_List_Onat__list(_u15296) )).
% 19.53/19.78 cnf(matrix-6624, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u15298, _u15300, _u15299)), c_List_Olist_Olist__size(_u15298, _u15301, _u15299))) | hBOOL(hAPP(hAPP(c_member(_u15298), skolem405(_u15301, _u15300, _u15299, _u15298)), hAPP(c_List_Oset(_u15298), _u15299))) )).
% 19.53/19.78 cnf(matrix-6625, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u15298, _u15300, _u15299)), c_List_Olist_Olist__size(_u15298, _u15301, _u15299))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u15300, skolem405(_u15301, _u15300, _u15299, _u15298))), hAPP(_u15301, skolem405(_u15301, _u15300, _u15299, _u15298)))) )).
% 19.53/19.78 cnf(matrix-6626, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15302), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u15303))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Olist__update(tc_Nat_Onat, _u15303), _u15302), _u15304)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u15303)), _u15304)), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u15303), _u15302))) )).
% 19.53/19.78 cnf(matrix-6627, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15305), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15306)), _u15307))) | ( c_List_Obutlast(_u15306, hAPP(hAPP(c_List_Otake(_u15306), _u15305), _u15307)) = hAPP(hAPP(c_List_Otake(_u15306), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15305), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15307)) )).
% 19.53/19.78 cnf(matrix-6628, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15308)), _u15309)), _u15310)) | ( hAPP(hAPP(c_List_Olist__update(_u15308, _u15309), _u15310), _u15311) = _u15309) )).
% 19.53/19.78 cnf(matrix-6629, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15312, _u15313), _u15314), hAPP(hAPP(c_List_Onth(_u15312), _u15313), _u15314)) = _u15313) )).
% 19.53/19.78 cnf(matrix-6630, plain, ( ( _u15315 = _u15316) | ( hAPP(hAPP(c_List_Onth(_u15317), hAPP(hAPP(c_List_Olist__update(_u15317, _u15318), _u15315), _u15319)), _u15316) = hAPP(hAPP(c_List_Onth(_u15317), _u15318), _u15316)) )).
% 19.53/19.78 cnf(matrix-6631, plain, ( ( _u15324 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15326)), _u15328)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u15326, hAPP(hAPP(c_List_Olist__update(_u15326, _u15328), _u15324), _u15330)) = c_List_Obutlast(_u15326, _u15328)) )).
% 19.53/19.78 cnf(matrix-6632, plain, ( ( _u15325 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15327)), _u15329)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u15327, hAPP(hAPP(c_List_Olist__update(_u15327, _u15329), _u15325), _u15331)) = hAPP(hAPP(c_List_Olist__update(_u15327, c_List_Obutlast(_u15327, _u15329)), _u15325), _u15331)) )).
% 19.53/19.78 cnf(matrix-6633, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15332)), hAPP(hAPP(c_List_Olist__update(_u15332, _u15333), _u15334), _u15335)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15332)), _u15333)) )).
% 19.53/19.78 cnf(matrix-6634, plain, ( ( hAPP(hAPP(c_List_Ozip(_u15336, _u15337), hAPP(hAPP(c_List_Olist__update(_u15336, _u15338), _u15339), _u15340)), hAPP(hAPP(c_List_Olist__update(_u15337, _u15341), _u15339), _u15342)) = hAPP(hAPP(c_List_Olist__update(tc_prod(_u15336, _u15337), hAPP(hAPP(c_List_Ozip(_u15336, _u15337), _u15338), _u15341)), _u15339), hAPP(hAPP(c_Product__Type_OPair(_u15336, _u15337), _u15340), _u15342))) )).
% 19.53/19.78 cnf(matrix-6635, plain, ( ( hAPP(hAPP(c_List_Olist__update(tc_prod(_u15343, _u15344), hAPP(hAPP(c_List_Ozip(_u15343, _u15344), _u15345), _u15346)), _u15347), _u15348) = hAPP(hAPP(c_List_Ozip(_u15343, _u15344), hAPP(hAPP(c_List_Olist__update(_u15343, _u15345), _u15347), hAPP(c_Product__Type_Ofst(_u15343, _u15344), _u15348))), hAPP(hAPP(c_List_Olist__update(_u15344, _u15346), _u15347), hAPP(c_Product__Type_Osnd(_u15343, _u15344), _u15348)))) )).
% 19.53/19.78 cnf(matrix-6636, plain, ( ( _u15349 = _u15350) | ( hAPP(hAPP(c_List_Olist__update(_u15351, hAPP(hAPP(c_List_Olist__update(_u15351, _u15352), _u15349), _u15353)), _u15350), _u15354) = hAPP(hAPP(c_List_Olist__update(_u15351, hAPP(hAPP(c_List_Olist__update(_u15351, _u15352), _u15350), _u15354)), _u15349), _u15353)) )).
% 19.53/19.78 cnf(matrix-6637, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15355, hAPP(hAPP(c_List_Olist__update(_u15355, _u15356), _u15357), _u15358)), _u15357), _u15359) = hAPP(hAPP(c_List_Olist__update(_u15355, _u15356), _u15357), _u15359)) )).
% 19.53/19.78 cnf(matrix-6638, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15360, hAPP(hAPP(c_List_Olist_OCons(_u15360), _u15361), _u15362)), _u15363), _u15364) = c_Nat_Onat_Onat__case(tc_List_Olist(_u15360), hAPP(hAPP(c_List_Olist_OCons(_u15360), _u15364), _u15362), hAPP(hAPP(c_COMBB(tc_List_Olist(_u15360), tc_List_Olist(_u15360), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u15360), _u15361)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u15360, tc_List_Olist(_u15360)), c_List_Olist__update(_u15360, _u15362)), _u15364)), _u15363)) )).
% 19.53/19.78 cnf(matrix-6639, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15365, hAPP(hAPP(c_List_Olist_OCons(_u15365), _u15366), _u15367)), hAPP(c_Nat_OSuc, _u15368)), _u15369) = hAPP(hAPP(c_List_Olist_OCons(_u15365), _u15366), hAPP(hAPP(c_List_Olist__update(_u15365, _u15367), _u15368), _u15369))) )).
% 19.53/19.78 cnf(matrix-6640, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15370, hAPP(hAPP(c_List_Olist_OCons(_u15370), _u15371), _u15372)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15373) = hAPP(hAPP(c_List_Olist_OCons(_u15370), _u15373), _u15372)) )).
% 19.53/19.78 cnf(matrix-6641, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15374), _u15375), hAPP(c_List_Oset(_u15374), c_List_Obutlast(_u15374, _u15376)))) | hBOOL(hAPP(hAPP(c_member(_u15374), _u15375), hAPP(c_List_Oset(_u15374), _u15376))) )).
% 19.53/19.78 cnf(matrix-6642, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15377, tc_HOL_Obool)), hAPP(c_List_Oset(_u15377), _u15378)), _u15379)) | ~hBOOL(hAPP(hAPP(c_member(_u15377), _u15380), _u15379)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15377, tc_HOL_Obool)), hAPP(c_List_Oset(_u15377), hAPP(hAPP(c_List_Olist__update(_u15377, _u15378), _u15381), _u15380))), _u15379)) )).
% 19.53/19.78 cnf(matrix-6643, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15382, tc_HOL_Obool)), hAPP(c_List_Oset(_u15382), hAPP(hAPP(c_List_Olist__update(_u15382, _u15383), _u15384), _u15385))), hAPP(hAPP(c_Set_Oinsert(_u15382), _u15385), hAPP(c_List_Oset(_u15382), _u15383)))) )).
% 19.53/19.78 cnf(matrix-6644, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15386), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15387)), _u15388))) | ( hAPP(hAPP(c_List_Onth(_u15387), hAPP(hAPP(c_List_Olist__update(_u15387, _u15388), _u15386), _u15389)), _u15386) = _u15389) )).
% 19.53/19.78 cnf(matrix-6645, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15390), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15391)), _u15392))) | ( hAPP(hAPP(c_List_Olist__update(_u15391, _u15392), _u15390), _u15393) != _u15392) | ( hAPP(hAPP(c_List_Onth(_u15391), _u15392), _u15390) = _u15393) )).
% 19.53/19.78 cnf(matrix-6646, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15390), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15391)), _u15392))) | ( hAPP(hAPP(c_List_Onth(_u15391), _u15392), _u15390) != _u15393) | ( hAPP(hAPP(c_List_Olist__update(_u15391, _u15392), _u15390), _u15393) = _u15392) )).
% 19.53/19.78 cnf(matrix-6647, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15394), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15395)), _u15396))) | ( _u15394 != _u15397) | ( hAPP(hAPP(c_List_Onth(_u15395), hAPP(hAPP(c_List_Olist__update(_u15395, _u15396), _u15394), _u15398)), _u15397) = _u15398) )).
% 19.53/19.78 cnf(matrix-6648, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15394), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15395)), _u15396))) | ( _u15394 = _u15397) | ( hAPP(hAPP(c_List_Onth(_u15395), hAPP(hAPP(c_List_Olist__update(_u15395, _u15396), _u15394), _u15398)), _u15397) = hAPP(hAPP(c_List_Onth(_u15395), _u15396), _u15397)) )).
% 19.53/19.78 cnf(matrix-6649, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15399), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15400)), _u15401))) | ( hAPP(hAPP(c_List_Otake(_u15400), _u15399), c_List_Obutlast(_u15400, _u15401)) = hAPP(hAPP(c_List_Otake(_u15400), _u15399), _u15401)) )).
% 19.53/19.78 cnf(matrix-6650, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15402)), c_List_Obutlast(_u15402, _u15403)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15402)), _u15403)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 19.53/19.78 cnf(matrix-6651, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15404), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15405)), _u15406))) | hBOOL(hAPP(hAPP(c_member(_u15405), _u15407), hAPP(c_List_Oset(_u15405), hAPP(hAPP(c_List_Olist__update(_u15405, _u15406), _u15404), _u15407)))) )).
% 19.53/19.78 cnf(matrix-6652, plain, ( ( c_List_Obutlast(_u15408, _u15409) = hAPP(hAPP(c_List_Otake(_u15408), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15408)), _u15409)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15409)) )).
% 19.53/19.78 cnf(matrix-6653, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15418), tc_List_Olist(_u15418))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15418), tc_List_Olist(_u15418)), _u15420), _u15422)), c_List_Olistrel1(_u15418, _u15424))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15418, _u15418)), hAPP(hAPP(c_Product__Type_OPair(_u15418, _u15418), hAPP(hAPP(c_List_Onth(_u15418), _u15420), skolem407(_u15424, _u15422, _u15420, _u15418))), skolem406(_u15424, _u15422, _u15420, _u15418))), _u15424)) )).
% 19.53/19.78 cnf(matrix-6654, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15418), tc_List_Olist(_u15418))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15418), tc_List_Olist(_u15418)), _u15420), _u15422)), c_List_Olistrel1(_u15418, _u15424))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem407(_u15424, _u15422, _u15420, _u15418)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15418)), _u15420))) )).
% 19.53/19.78 cnf(matrix-6655, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15418), tc_List_Olist(_u15418))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15418), tc_List_Olist(_u15418)), _u15420), _u15422)), c_List_Olistrel1(_u15418, _u15424))) | ( _u15422 = hAPP(hAPP(c_List_Olist__update(_u15418, _u15420), skolem407(_u15424, _u15422, _u15420, _u15418)), skolem406(_u15424, _u15422, _u15420, _u15418))) )).
% 19.53/19.78 cnf(matrix-6656, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15419, _u15419)), hAPP(hAPP(c_Product__Type_OPair(_u15419, _u15419), hAPP(hAPP(c_List_Onth(_u15419), _u15421), _u15412)), _u15413)), _u15425)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15412), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15419)), _u15421))) | ( _u15423 != hAPP(hAPP(c_List_Olist__update(_u15419, _u15421), _u15412), _u15413)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15419), tc_List_Olist(_u15419))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15419), tc_List_Olist(_u15419)), _u15421), _u15423)), c_List_Olistrel1(_u15419, _u15425))) )).
% 19.53/19.78 cnf(matrix-6657, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15426), _u15427)) | hBOOL(hAPP(hAPP(c_member(_u15426), _u15428), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15426, tc_HOL_Obool)), hAPP(c_List_Oset(_u15426), _u15427)), hAPP(hAPP(c_Set_Oinsert(_u15426), hAPP(hAPP(c_List_Onth(_u15426), _u15427), _u15429)), c_Orderings_Obot__class_Obot(tc_fun(_u15426, tc_HOL_Obool)))))) | hBOOL(hAPP(c_List_Odistinct(_u15426), hAPP(hAPP(c_List_Olist__update(_u15426, _u15427), _u15429), _u15428))) )).
% 19.53/19.78 cnf(matrix-6658, plain, ( hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint), c_List_Oupto(_u15430, _u15431))) )).
% 19.53/19.78 cnf(matrix-6659, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15432), _u15433)) | hBOOL(hAPP(c_List_Odistinct(_u15432), hAPP(hAPP(c_List_Otake(_u15432), _u15434), _u15433))) )).
% 19.53/19.78 cnf(matrix-6660, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15435), _u15436)) | hBOOL(hAPP(c_List_Odistinct(_u15435), c_List_Osublist(_u15435, _u15436, _u15437))) )).
% 19.53/19.78 cnf(matrix-6661, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15438), _u15439)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u15440, _u15438)), hAPP(hAPP(c_List_Ozip(_u15440, _u15438), _u15441), _u15439))) )).
% 19.53/19.78 cnf(matrix-6662, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15442), _u15443)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u15442, _u15444)), hAPP(hAPP(c_List_Ozip(_u15442, _u15444), _u15443), _u15445))) )).
% 19.53/19.78 cnf(matrix-6663, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15449), hAPP(hAPP(c_List_Olist_OCons(_u15449), _u15451), _u15453))) | ~hBOOL(hAPP(hAPP(c_member(_u15449), _u15451), hAPP(c_List_Oset(_u15449), _u15453))) )).
% 19.53/19.78 cnf(matrix-6664, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15449), hAPP(hAPP(c_List_Olist_OCons(_u15449), _u15451), _u15453))) | hBOOL(hAPP(c_List_Odistinct(_u15449), _u15453)) )).
% 19.53/19.78 cnf(matrix-6665, plain, ( hBOOL(hAPP(hAPP(c_member(_u15450), _u15452), hAPP(c_List_Oset(_u15450), _u15454))) | ~hBOOL(hAPP(c_List_Odistinct(_u15450), _u15454)) | hBOOL(hAPP(c_List_Odistinct(_u15450), hAPP(hAPP(c_List_Olist_OCons(_u15450), _u15452), _u15454))) )).
% 19.53/19.78 cnf(matrix-6666, plain, ( ( hAPP(c_Finite__Set_Ocard(_u15455), hAPP(c_List_Oset(_u15455), _u15456)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15455)), _u15456)) | hBOOL(hAPP(c_List_Odistinct(_u15455), _u15456)) )).
% 19.53/19.78 cnf(matrix-6667, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15457), _u15458)) | ( hAPP(c_Finite__Set_Ocard(_u15457), hAPP(c_List_Oset(_u15457), _u15458)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15457)), _u15458)) )).
% 19.53/19.78 cnf(matrix-6668, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15459), _u15460)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15461), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15459)), _u15460))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15462), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15459)), _u15460))) | ( hAPP(hAPP(c_List_Onth(_u15459), _u15460), _u15461) != hAPP(hAPP(c_List_Onth(_u15459), _u15460), _u15462)) | ( _u15461 = _u15462) )).
% 19.53/19.78 cnf(matrix-6669, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15459), _u15460)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15461), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15459)), _u15460))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15462), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15459)), _u15460))) | ( _u15461 != _u15462) | ( hAPP(hAPP(c_List_Onth(_u15459), _u15460), _u15461) = hAPP(hAPP(c_List_Onth(_u15459), _u15460), _u15462)) )).
% 19.53/19.78 cnf(matrix-6670, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15469), _u15471)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15464), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15469)), _u15471))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15463), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15469)), _u15471))) | ( _u15464 = _u15463) | ( hAPP(hAPP(c_List_Onth(_u15469), _u15471), _u15464) != hAPP(hAPP(c_List_Onth(_u15469), _u15471), _u15463)) )).
% 19.53/19.78 cnf(matrix-6671, plain, ( hBOOL(hAPP(c_List_Odistinct(_u15470), _u15472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem408(_u15472, _u15470)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15470)), _u15472))) )).
% 19.53/19.78 cnf(matrix-6672, plain, ( hBOOL(hAPP(c_List_Odistinct(_u15470), _u15472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem409(_u15472, _u15470)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15470)), _u15472))) )).
% 19.53/19.78 cnf(matrix-6673, plain, ( hBOOL(hAPP(c_List_Odistinct(_u15470), _u15472)) | ( skolem408(_u15472, _u15470) != skolem409(_u15472, _u15470)) )).
% 19.53/19.78 cnf(matrix-6674, plain, ( hBOOL(hAPP(c_List_Odistinct(_u15470), _u15472)) | ( hAPP(hAPP(c_List_Onth(_u15470), _u15472), skolem408(_u15472, _u15470)) = hAPP(hAPP(c_List_Onth(_u15470), _u15472), skolem409(_u15472, _u15470))) )).
% 19.53/19.78 cnf(matrix-6675, plain, ( ~class_Groups_Ocomm__monoid__add(_u15473) | ~hBOOL(hAPP(c_List_Odistinct(_u15473), _u15474)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15473), _u15474) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u15473, _u15473), c_COMBI(_u15473)), hAPP(c_List_Oset(_u15473), _u15474))) )).
% 19.53/19.78 cnf(matrix-6676, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15477), _u15479)) | ( c_Nitpick_Ocard_H(_u15477, _u15479) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15477)), c_Hilbert__Choice_OEps(tc_List_Olist(_u15477), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15477), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15477)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15477), tc_fun(_u15477, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15477, tc_HOL_Obool), tc_fun(tc_fun(_u15477, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15477)), c_fequal), c_List_Oset(_u15477))), _u15479))), c_List_Odistinct(_u15477))))) )).
% 19.53/19.78 cnf(matrix-6677, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u15478), _u15480)) | ( c_Nitpick_Ocard_H(_u15478, _u15480) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.78 cnf(matrix-6678, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15482), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15483)), _u15484))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15482), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15483)), _u15485))) | ( hAPP(hAPP(c_List_Otake(_u15483), _u15482), _u15484) = hAPP(hAPP(c_List_Otake(_u15483), _u15482), _u15485)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem410(_u15485, _u15484, _u15483, _u15482)), _u15482)) )).
% 19.53/19.78 cnf(matrix-6679, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15482), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15483)), _u15484))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u15482), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15483)), _u15485))) | ( hAPP(hAPP(c_List_Otake(_u15483), _u15482), _u15484) = hAPP(hAPP(c_List_Otake(_u15483), _u15482), _u15485)) | ( hAPP(hAPP(c_List_Onth(_u15483), _u15484), skolem410(_u15485, _u15484, _u15483, _u15482)) != hAPP(hAPP(c_List_Onth(_u15483), _u15485), skolem410(_u15485, _u15484, _u15483, _u15482))) )).
% 19.53/19.78 cnf(matrix-6680, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15486), _u15487)) | ( hAPP(c_List_Oset(_u15486), c_List_Oremove1(_u15486, _u15488, _u15487)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15486, tc_HOL_Obool)), hAPP(c_List_Oset(_u15486), _u15487)), hAPP(hAPP(c_Set_Oinsert(_u15486), _u15488), c_Orderings_Obot__class_Obot(tc_fun(_u15486, tc_HOL_Obool))))) )).
% 19.53/19.78 cnf(matrix-6681, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15493) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u15495), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15493)), hAPP(hAPP(c_List_Olist_OCons(_u15495), _u15497), _u15499)) = c_List_Olist_ONil(_u15495)) )).
% 19.53/19.78 cnf(matrix-6682, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15494) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u15496), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15494)), hAPP(hAPP(c_List_Olist_OCons(_u15496), _u15498), _u15500)) = hAPP(hAPP(c_List_Olist_OCons(_u15496), _u15498), hAPP(hAPP(c_List_Otake(_u15496), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15494)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15500))) )).
% 19.53/19.78 cnf(matrix-6683, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15501)), c_List_Olist_ONil(_u15501)), c_List_Olists(_u15501, _u15502))) )).
% 19.53/19.78 cnf(matrix-6684, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15503), tc_List_Olist(_u15503))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15503), tc_List_Olist(_u15503)), c_List_Olist_ONil(_u15503)), _u15504)), c_List_Olistrel(_u15503, _u15505))) | ( _u15504 = c_List_Olist_ONil(_u15503)) )).
% 19.53/19.78 cnf(matrix-6685, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15506), tc_List_Olist(_u15506))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15506), tc_List_Olist(_u15506)), _u15507), c_List_Olist_ONil(_u15506))), c_List_Olistrel(_u15506, _u15508))) | ( _u15507 = c_List_Olist_ONil(_u15506)) )).
% 19.53/19.78 cnf(matrix-6686, plain, ( ( _u15509 = c_List_Olist_ONil(_u15510)) | ~hBOOL(hAPP(c_List_Odistinct(_u15510), _u15509)) | hBOOL(hAPP(c_List_Odistinct(_u15510), c_List_Obutlast(_u15510, _u15509))) )).
% 19.53/19.78 cnf(matrix-6687, plain, ( hBOOL(hAPP(c_List_Odistinct(_u15511), c_List_Olist_ONil(_u15511))) )).
% 19.53/19.78 cnf(matrix-6688, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u15512), _u15513)) | hBOOL(hAPP(c_List_Odistinct(_u15512), c_List_Oremove1(_u15512, _u15514, _u15513))) )).
% 19.53/19.78 cnf(matrix-6689, plain, ( ( c_List_Obutlast(_u15515, c_List_Olist_ONil(_u15515)) = c_List_Olist_ONil(_u15515)) )).
% 19.53/19.78 cnf(matrix-6690, plain, ( ( _u15519 != c_List_Olist_ONil(_u15521)) | ( c_List_Obutlast(_u15521, hAPP(hAPP(c_List_Olist_OCons(_u15521), _u15523), _u15519)) = c_List_Olist_ONil(_u15521)) )).
% 19.53/19.78 cnf(matrix-6691, plain, ( ( _u15520 = c_List_Olist_ONil(_u15522)) | ( c_List_Obutlast(_u15522, hAPP(hAPP(c_List_Olist_OCons(_u15522), _u15524), _u15520)) = hAPP(hAPP(c_List_Olist_OCons(_u15522), _u15524), c_List_Obutlast(_u15522, _u15520))) )).
% 19.53/19.78 cnf(matrix-6692, plain, ( ( _u15529 != _u15531) | ( c_List_Oremove1(_u15533, _u15529, hAPP(hAPP(c_List_Olist_OCons(_u15533), _u15531), _u15535)) = _u15535) )).
% 19.53/19.78 cnf(matrix-6693, plain, ( ( _u15530 = _u15532) | ( c_List_Oremove1(_u15534, _u15530, hAPP(hAPP(c_List_Olist_OCons(_u15534), _u15532), _u15536)) = hAPP(hAPP(c_List_Olist_OCons(_u15534), _u15532), c_List_Oremove1(_u15534, _u15530, _u15536))) )).
% 19.53/19.78 cnf(matrix-6694, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15537), _u15538), _u15539) != c_List_Olist_ONil(_u15537)) )).
% 19.53/19.78 cnf(matrix-6695, plain, ( ( c_List_Olist_ONil(_u15540) != hAPP(hAPP(c_List_Olist_OCons(_u15540), _u15541), _u15542)) )).
% 19.53/19.78 cnf(matrix-6696, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u15543), _u15544)) | ( c_List_Oupto(_u15544, _u15543) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 19.53/19.78 cnf(matrix-6697, plain, ( ( hAPP(hAPP(c_List_Otake(_u15545), _u15546), c_List_Olist_ONil(_u15545)) = c_List_Olist_ONil(_u15545)) )).
% 19.53/19.78 cnf(matrix-6698, plain, ( ( hAPP(hAPP(c_List_Otake(_u15547), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15548) = c_List_Olist_ONil(_u15547)) )).
% 19.53/19.78 cnf(matrix-6699, plain, ( ( hAPP(hAPP(c_List_Otake(_u15552), _u15554), _u15556) != c_List_Olist_ONil(_u15552)) | ( _u15554 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u15556 = c_List_Olist_ONil(_u15552)) )).
% 19.53/19.78 cnf(matrix-6700, plain, ( ( hAPP(hAPP(c_List_Otake(_u15553), _u15555), _u15557) = c_List_Olist_ONil(_u15553)) | ( _u15555 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.78 cnf(matrix-6701, plain, ( ( hAPP(hAPP(c_List_Otake(_u15553), _u15555), _u15557) = c_List_Olist_ONil(_u15553)) | ( _u15557 != c_List_Olist_ONil(_u15553)) )).
% 19.53/19.78 cnf(matrix-6702, plain, ( ( c_List_Osublist(_u15558, c_List_Olist_ONil(_u15558), _u15559) = c_List_Olist_ONil(_u15558)) )).
% 19.53/19.78 cnf(matrix-6703, plain, ( ( c_List_Oremove1(_u15560, _u15561, c_List_Olist_ONil(_u15560)) = c_List_Olist_ONil(_u15560)) )).
% 19.53/19.78 cnf(matrix-6704, plain, ( ( c_List_Oremove1(_u15562, _u15563, c_List_Oremove1(_u15562, _u15564, _u15565)) = c_List_Oremove1(_u15562, _u15564, c_List_Oremove1(_u15562, _u15563, _u15565))) )).
% 19.53/19.78 cnf(matrix-6705, plain, ( c_List_Olistrelp(_u15566, _u15567, c_List_Olist_ONil(_u15566), c_List_Olist_ONil(_u15566)) )).
% 19.53/19.78 cnf(matrix-6706, plain, ( c_List_Olistrelp(_u15568, _u15569, c_List_Olist_ONil(_u15568), c_List_Olist_ONil(_u15568)) )).
% 19.53/19.78 cnf(matrix-6707, plain, ( ( hAPP(hAPP(c_List_Ozip(_u15570, _u15571), _u15572), c_List_Olist_ONil(_u15571)) = c_List_Olist_ONil(tc_prod(_u15570, _u15571))) )).
% 19.53/19.78 cnf(matrix-6708, plain, ( ( hAPP(hAPP(c_List_Ozip(_u15573, _u15574), c_List_Olist_ONil(_u15573)), _u15575) = c_List_Olist_ONil(tc_prod(_u15573, _u15574))) )).
% 19.53/19.78 cnf(matrix-6709, plain, ( ~class_Groups_Omonoid__add(_u15576) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15576), c_List_Olist_ONil(_u15576)) = c_Groups_Ozero__class_Ozero(_u15576)) )).
% 19.53/19.78 cnf(matrix-6710, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15577)), c_List_Olist_ONil(_u15577)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.78 cnf(matrix-6711, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15580)), _u15582) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u15582 = c_List_Olist_ONil(_u15580)) )).
% 19.53/19.78 cnf(matrix-6712, plain, ( ( _u15583 != c_List_Olist_ONil(_u15581)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15581)), _u15583) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.78 cnf(matrix-6713, plain, ( ( hAPP(c_List_Oset(_u15586), _u15588) != c_Orderings_Obot__class_Obot(tc_fun(_u15586, tc_HOL_Obool))) | ( _u15588 = c_List_Olist_ONil(_u15586)) )).
% 19.53/19.78 cnf(matrix-6714, plain, ( ( _u15589 != c_List_Olist_ONil(_u15587)) | ( hAPP(c_List_Oset(_u15587), _u15589) = c_Orderings_Obot__class_Obot(tc_fun(_u15587, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-6715, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u15592, tc_HOL_Obool)) != hAPP(c_List_Oset(_u15592), _u15594)) | ( _u15594 = c_List_Olist_ONil(_u15592)) )).
% 19.53/19.78 cnf(matrix-6716, plain, ( ( _u15595 != c_List_Olist_ONil(_u15593)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u15593, tc_HOL_Obool)) = hAPP(c_List_Oset(_u15593), _u15595)) )).
% 19.53/19.78 cnf(matrix-6717, plain, ( ( hAPP(c_List_Oset(_u15596), c_List_Olist_ONil(_u15596)) = c_Orderings_Obot__class_Obot(tc_fun(_u15596, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-6718, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15601, _u15603), _u15605), _u15607) != c_List_Olist_ONil(_u15601)) | ( _u15603 = c_List_Olist_ONil(_u15601)) )).
% 19.53/19.78 cnf(matrix-6719, plain, ( ( _u15604 != c_List_Olist_ONil(_u15602)) | ( hAPP(hAPP(c_List_Olist__update(_u15602, _u15604), _u15606), _u15608) = c_List_Olist_ONil(_u15602)) )).
% 19.53/19.78 cnf(matrix-6720, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15609, c_List_Olist_ONil(_u15609)), _u15610), _u15611) = c_List_Olist_ONil(_u15609)) )).
% 19.53/19.78 cnf(matrix-6721, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15612, c_List_Olist_ONil(_u15612)), _u15613), _u15614) = c_List_Olist_ONil(_u15612)) )).
% 19.53/19.78 cnf(matrix-6722, plain, ( ( c_List_Olist_Olist__size(_u15615, _u15616, c_List_Olist_ONil(_u15615)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.78 cnf(matrix-6723, plain, ( ( _u15617 = _u15618) | ~hBOOL(hAPP(hAPP(c_member(_u15619), _u15617), hAPP(c_List_Oset(_u15619), c_List_Oremove1(_u15619, _u15618, _u15620)))) | hBOOL(hAPP(hAPP(c_member(_u15619), _u15617), hAPP(c_List_Oset(_u15619), _u15620))) )).
% 19.53/19.78 cnf(matrix-6724, plain, ( ( _u15617 = _u15618) | ~hBOOL(hAPP(hAPP(c_member(_u15619), _u15617), hAPP(c_List_Oset(_u15619), _u15620))) | hBOOL(hAPP(hAPP(c_member(_u15619), _u15617), hAPP(c_List_Oset(_u15619), c_List_Oremove1(_u15619, _u15618, _u15620)))) )).
% 19.53/19.78 cnf(matrix-6725, plain, ( hBOOL(hAPP(hAPP(c_member(_u15621), _u15622), hAPP(c_List_Oset(_u15621), _u15623))) | ~hBOOL(hAPP(hAPP(c_member(_u15621), _u15622), hAPP(c_List_Oset(_u15621), c_List_Oremove1(_u15621, _u15624, _u15623)))) )).
% 19.53/19.78 cnf(matrix-6726, plain, ( hBOOL(hAPP(hAPP(c_member(_u15625), _u15626), hAPP(c_List_Oset(_u15625), _u15627))) | ( c_List_Oremove1(_u15625, _u15626, _u15627) = _u15627) )).
% 19.53/19.78 cnf(matrix-6727, plain, ( ( c_List_Osublist(_u15628, _u15629, c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) = c_List_Olist_ONil(_u15628)) )).
% 19.53/19.78 cnf(matrix-6728, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15630, tc_HOL_Obool)), hAPP(c_List_Oset(_u15630), c_List_Oremove1(_u15630, _u15631, _u15632))), hAPP(c_List_Oset(_u15630), _u15632))) )).
% 19.53/19.78 cnf(matrix-6729, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15635)), _u15637))) | ( _u15637 != c_List_Olist_ONil(_u15635)) )).
% 19.53/19.78 cnf(matrix-6730, plain, ( ( _u15638 = c_List_Olist_ONil(_u15636)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15636)), _u15638))) )).
% 19.53/19.78 cnf(matrix-6731, plain, ( ( hAPP(hAPP(c_List_Otake(_u15639), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u15639), _u15640), _u15641)) = hAPP(hAPP(c_List_Olist_OCons(_u15639), _u15640), c_List_Olist_ONil(_u15639))) )).
% 19.53/19.78 cnf(matrix-6732, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15642), tc_List_Olist(_u15642))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15642), tc_List_Olist(_u15642)), c_List_Olist_ONil(_u15642)), _u15643)), c_List_Olistrel1(_u15642, _u15644))) )).
% 19.53/19.78 cnf(matrix-6733, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15645), tc_List_Olist(_u15645))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15645), tc_List_Olist(_u15645)), _u15646), c_List_Olist_ONil(_u15645))), c_List_Olistrel1(_u15645, _u15647))) )).
% 19.53/19.78 cnf(matrix-6734, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15648), tc_List_Olist(_u15648))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15648), tc_List_Olist(_u15648)), c_List_Olist_ONil(_u15648)), c_List_Olist_ONil(_u15648))), c_List_Olistrel(_u15648, _u15649))) )).
% 19.53/19.78 cnf(matrix-6735, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15650), tc_List_Olist(_u15650))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15650), tc_List_Olist(_u15650)), _u15651), c_List_Olist_ONil(_u15650))), c_List_Olexord(_u15650, _u15652))) )).
% 19.53/19.78 cnf(matrix-6736, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15653), tc_List_Olist(_u15653))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15653), tc_List_Olist(_u15653)), c_List_Olist_ONil(_u15653)), _u15654)), c_List_Olex(_u15653, _u15655))) )).
% 19.53/19.78 cnf(matrix-6737, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15656), tc_List_Olist(_u15656))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15656), tc_List_Olist(_u15656)), _u15657), c_List_Olist_ONil(_u15656))), c_List_Olex(_u15656, _u15658))) )).
% 19.53/19.78 cnf(matrix-6738, plain, ( ( hAPP(hAPP(c_List_Otake(_u15659), _u15660), hAPP(hAPP(c_List_Olist_OCons(_u15659), _u15661), _u15662)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u15659), c_List_Olist_ONil(_u15659), hAPP(hAPP(c_COMBB(tc_List_Olist(_u15659), tc_List_Olist(_u15659), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u15659), _u15661)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u15659), tc_List_Olist(_u15659)), c_List_Otake(_u15659)), _u15662)), _u15660)) )).
% 19.53/19.78 cnf(matrix-6739, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u15665), _u15667)) | ( c_List_Oupto(_u15665, _u15667) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u15665), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15665), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u15667))) )).
% 19.53/19.78 cnf(matrix-6740, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u15666), _u15668)) | ( c_List_Oupto(_u15666, _u15668) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 19.53/19.78 cnf(matrix-6741, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15672)) | ( c_List_Osublist(_u15674, hAPP(hAPP(c_List_Olist_OCons(_u15674), _u15676), c_List_Olist_ONil(_u15674)), _u15672) = hAPP(hAPP(c_List_Olist_OCons(_u15674), _u15676), c_List_Olist_ONil(_u15674))) )).
% 19.53/19.78 cnf(matrix-6742, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15673)) | ( c_List_Osublist(_u15675, hAPP(hAPP(c_List_Olist_OCons(_u15675), _u15677), c_List_Olist_ONil(_u15675)), _u15673) = c_List_Olist_ONil(_u15675)) )).
% 19.53/19.78 cnf(matrix-6743, plain, ( ( c_List_Olists(_u15678, c_Orderings_Obot__class_Obot(tc_fun(_u15678, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15678)), c_List_Olist_ONil(_u15678)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15678), tc_HOL_Obool)))) )).
% 19.53/19.78 cnf(matrix-6744, plain, ( ( _u15683 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u15685), _u15683), hAPP(hAPP(c_List_Olist_OCons(_u15685), _u15687), _u15689)) = c_List_Olist_ONil(_u15685)) )).
% 19.53/19.78 cnf(matrix-6745, plain, ( ( _u15684 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u15686), _u15684), hAPP(hAPP(c_List_Olist_OCons(_u15686), _u15688), _u15690)) = hAPP(hAPP(c_List_Olist_OCons(_u15686), _u15688), hAPP(hAPP(c_List_Otake(_u15686), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15684), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u15690))) )).
% 19.53/19.78 cnf(matrix-6746, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15693)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15695))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15693), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15695)) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15693)), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15693)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15695)))) )).
% 19.53/19.78 cnf(matrix-6747, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15694)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15696))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15694), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u15696)) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 19.53/19.78 cnf(matrix-6748, plain, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u15697), tc_List_Olist(_u15697), c_List_Olistrel(_u15697, _u15698)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15697)), c_List_Olist_ONil(_u15697)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15697), tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15697)), c_List_Olist_ONil(_u15697)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15697), tc_HOL_Obool)))) )).
% 19.53/19.78 cnf(matrix-6749, plain, ( ( c_List_Oset__Cons(_u15699, _u15700, hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15699)), c_List_Olist_ONil(_u15699)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15699), tc_HOL_Obool)))) = hAPP(c_Set_Oimage(_u15699, tc_List_Olist(_u15699), hAPP(hAPP(c_COMBC(_u15699, tc_List_Olist(_u15699), tc_List_Olist(_u15699)), c_List_Olist_OCons(_u15699)), c_List_Olist_ONil(_u15699))), _u15700)) )).
% 19.53/19.78 cnf(matrix-6750, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15704), _u15706), hAPP(c_List_Oset(_u15704), _u15708))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15704)), c_List_Oremove1(_u15704, _u15706, _u15708)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15704)), _u15708)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 19.53/19.78 cnf(matrix-6751, plain, ( hBOOL(hAPP(hAPP(c_member(_u15705), _u15707), hAPP(c_List_Oset(_u15705), _u15709))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15705)), c_List_Oremove1(_u15705, _u15707, _u15709)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15705)), _u15709)) )).
% 19.53/19.78 cnf(matrix-6752, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_List_Oupto__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u15710), _u15711))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u15710), _u15711)) | ( c_List_Oupto(_u15710, _u15711) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u15710), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u15710), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u15711))) )).
% 19.53/19.78 cnf(matrix-6753, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_List_Oupto__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u15710), _u15711))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u15710), _u15711)) | ( c_List_Oupto(_u15710, _u15711) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 19.53/19.78 cnf(matrix-6754, plain, ( ( _u15712 = c_List_Olist_ONil(_u15713)) | hBOOL(hAPP(hAPP(c_member(_u15713), hAPP(c_Product__Type_Ofst(_u15713, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect(_u15713, _u15712), _u15714))), hAPP(c_List_Oset(_u15713), _u15712))) )).
% 19.53/19.78 cnf(matrix-6755, plain, ( ( c_List_Olistset(_u15715, c_List_Olist_ONil(tc_fun(_u15715, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15715)), c_List_Olist_ONil(_u15715)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15715), tc_HOL_Obool)))) )).
% 19.53/19.78 cnf(matrix-6756, plain, ( ( hAPP(hAPP(c_List_Ozip(_u15716, _u15717), hAPP(hAPP(c_List_Olist_OCons(_u15716), _u15718), _u15719)), _u15720) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u15716, _u15717)), _u15717, c_List_Olist_ONil(tc_prod(_u15716, _u15717)), hAPP(hAPP(c_COMBC(_u15717, tc_fun(tc_List_Olist(_u15717), tc_List_Olist(tc_prod(_u15716, _u15717))), tc_fun(tc_List_Olist(_u15717), tc_List_Olist(tc_prod(_u15716, _u15717)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u15716, _u15717)), tc_List_Olist(tc_prod(_u15716, _u15717))), tc_fun(tc_fun(tc_List_Olist(_u15717), tc_List_Olist(tc_prod(_u15716, _u15717))), tc_fun(tc_List_Olist(_u15717), tc_List_Olist(tc_prod(_u15716, _u15717)))), _u15717), c_COMBB(tc_List_Olist(tc_prod(_u15716, _u15717)), tc_List_Olist(tc_prod(_u15716, _u15717)), tc_List_Olist(_u15717))), hAPP(hAPP(c_COMBB(tc_prod(_u15716, _u15717), tc_fun(tc_List_Olist(tc_prod(_u15716, _u15717)), tc_List_Olist(tc_prod(_u15716, _u15717))), _u15717), c_List_Olist_OCons(tc_prod(_u15716, _u15717))), hAPP(c_Product__Type_OPair(_u15716, _u15717), _u15718)))), hAPP(c_List_Ozip(_u15716, _u15717), _u15719))), _u15720)) )).
% 19.53/19.78 cnf(matrix-6757, plain, ( ( hAPP(c_List_Olist_Olist__case(_u15721, _u15722, _u15723, _u15724), hAPP(hAPP(c_List_Olist_OCons(_u15722), _u15725), _u15726)) = hAPP(hAPP(_u15724, _u15725), _u15726)) )).
% 19.53/19.78 cnf(matrix-6758, plain, ( ( hAPP(c_List_Olist_Olist__case(_u15727, _u15728, _u15729, _u15730), c_List_Olist_ONil(_u15728)) = _u15729) )).
% 19.53/19.78 cnf(matrix-6759, plain, ( ( c_List_Olistset(_u15731, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u15731, tc_HOL_Obool)), _u15732), _u15733)) = c_List_Oset__Cons(_u15731, _u15732, c_List_Olistset(_u15731, _u15733))) )).
% 19.53/19.78 cnf(matrix-6760, plain, ( ( hAPP(hAPP(c_List_Ozip(_u15734, _u15735), _u15736), hAPP(hAPP(c_List_Olist_OCons(_u15735), _u15737), _u15738)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u15734, _u15735)), _u15734, c_List_Olist_ONil(tc_prod(_u15734, _u15735)), hAPP(hAPP(c_COMBC(_u15734, tc_fun(tc_List_Olist(_u15734), tc_List_Olist(tc_prod(_u15734, _u15735))), tc_fun(tc_List_Olist(_u15734), tc_List_Olist(tc_prod(_u15734, _u15735)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u15734, _u15735)), tc_List_Olist(tc_prod(_u15734, _u15735))), tc_fun(tc_fun(tc_List_Olist(_u15734), tc_List_Olist(tc_prod(_u15734, _u15735))), tc_fun(tc_List_Olist(_u15734), tc_List_Olist(tc_prod(_u15734, _u15735)))), _u15734), c_COMBB(tc_List_Olist(tc_prod(_u15734, _u15735)), tc_List_Olist(tc_prod(_u15734, _u15735)), tc_List_Olist(_u15734))), hAPP(hAPP(c_COMBB(tc_prod(_u15734, _u15735), tc_fun(tc_List_Olist(tc_prod(_u15734, _u15735)), tc_List_Olist(tc_prod(_u15734, _u15735))), _u15734), c_List_Olist_OCons(tc_prod(_u15734, _u15735))), hAPP(hAPP(c_COMBC(_u15734, _u15735, tc_prod(_u15734, _u15735)), c_Product__Type_OPair(_u15734, _u15735)), _u15737)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15734), tc_List_Olist(_u15735), tc_List_Olist(tc_prod(_u15734, _u15735))), c_List_Ozip(_u15734, _u15735)), _u15738))), _u15736)) )).
% 19.53/19.78 cnf(matrix-6761, plain, ( ~class_Orderings_Olinorder(_u15739) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15739), _u15740)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u15739, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15739, tc_HOL_Obool)), _u15740), hAPP(hAPP(c_Set_Oinsert(_u15739), _u15741), c_Orderings_Obot__class_Obot(tc_fun(_u15739, tc_HOL_Obool))))) = c_List_Oremove1(_u15739, _u15741, c_List_Olinorder__class_Osorted__list__of__set(_u15739, _u15740))) )).
% 19.53/19.78 cnf(matrix-6762, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_List_Oupto__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u15744), _u15745))) | hBOOL(hAPP(hAPP(_u15746, _u15744), _u15745)) | hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_List_Oupto__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), skolem411(_u15746, _u15745, _u15744)), skolem412(_u15746, _u15745, _u15744)))) )).
% 19.53/19.78 cnf(matrix-6763, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_List_Oupto__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u15744), _u15745))) | hBOOL(hAPP(hAPP(_u15746, _u15744), _u15745)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem411(_u15746, _u15745, _u15744)), skolem412(_u15746, _u15745, _u15744))) | hBOOL(hAPP(hAPP(_u15746, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem411(_u15746, _u15745, _u15744)), c_Groups_Oone__class_Oone(tc_Int_Oint))), skolem412(_u15746, _u15745, _u15744))) )).
% 19.53/19.78 cnf(matrix-6764, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_List_Oupto__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u15744), _u15745))) | hBOOL(hAPP(hAPP(_u15746, _u15744), _u15745)) | ~hBOOL(hAPP(hAPP(_u15746, skolem411(_u15746, _u15745, _u15744)), skolem412(_u15746, _u15745, _u15744))) )).
% 19.53/19.78 cnf(matrix-6765, plain, ( ~class_Orderings_Olinorder(_u15747) | ( c_List_Olinorder__class_Osorted__list__of__set(_u15747, c_Orderings_Obot__class_Obot(tc_fun(_u15747, tc_HOL_Obool))) = c_List_Olist_ONil(_u15747)) )).
% 19.53/19.78 cnf(matrix-6766, plain, ( ( _u15753 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(hAPP(c_Lazy__Sequence_Oanamorph(_u15755, _u15757, _u15759), _u15753), _u15761) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15757), _u15755), c_List_Olist_ONil(_u15757)), _u15761)) )).
% 19.53/19.78 cnf(matrix-6767, plain, ( ( _u15754 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(hAPP(c_Lazy__Sequence_Oanamorph(_u15756, _u15758, _u15760), _u15754), _u15762) = c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(_u15758), _u15756), tc_prod(_u15758, _u15756), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15758), _u15756), c_List_Olist_ONil(_u15758)), _u15762), hAPP(c_Product__Type_Oprod_Oprod__case(_u15758, _u15756, tc_prod(tc_List_Olist(_u15758), _u15756)), hAPP(hAPP(c_COMBC(_u15758, tc_fun(_u15756, tc_prod(tc_List_Olist(_u15758), _u15756)), tc_fun(_u15756, tc_prod(tc_List_Olist(_u15758), _u15756))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(_u15758), _u15756), tc_prod(tc_List_Olist(_u15758), _u15756)), tc_fun(tc_fun(_u15756, tc_prod(tc_List_Olist(_u15758), _u15756)), tc_fun(_u15756, tc_prod(tc_List_Olist(_u15758), _u15756))), _u15758), c_COMBB(tc_prod(tc_List_Olist(_u15758), _u15756), tc_prod(tc_List_Olist(_u15758), _u15756), _u15756)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15758), tc_fun(_u15756, tc_prod(tc_List_Olist(_u15758), _u15756))), tc_fun(tc_prod(tc_List_Olist(_u15758), _u15756), tc_prod(tc_List_Olist(_u15758), _u15756)), _u15758), c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u15758), _u15756, tc_prod(tc_List_Olist(_u15758), _u15756))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15758), tc_List_Olist(_u15758)), tc_fun(tc_List_Olist(_u15758), tc_fun(_u15756, tc_prod(tc_List_Olist(_u15758), _u15756))), _u15758), hAPP(c_COMBB(tc_List_Olist(_u15758), tc_fun(_u15756, tc_prod(tc_List_Olist(_u15758), _u15756)), tc_List_Olist(_u15758)), c_Product__Type_OPair(tc_List_Olist(_u15758), _u15756))), c_List_Olist_OCons(_u15758))))), hAPP(c_Lazy__Sequence_Oanamorph(_u15756, _u15758, _u15760), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u15754), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))))), hAPP(_u15760, _u15762))) )).
% 19.53/19.78 cnf(matrix-6768, plain, ( ( c_List_Osublist(_u15763, hAPP(hAPP(c_List_Olist_OCons(_u15763), _u15764), _u15765), _u15766) = hAPP(hAPP(c_List_Oappend(_u15763), hAPP(hAPP(hAPP(c_If(tc_List_Olist(_u15763)), hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u15766)), hAPP(hAPP(c_List_Olist_OCons(_u15763), _u15764), c_List_Olist_ONil(_u15763))), c_List_Olist_ONil(_u15763))), c_List_Osublist(_u15763, _u15765, hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), tc_Nat_Onat), c_member(tc_Nat_Onat)), c_Nat_OSuc)), _u15766))))) )).
% 19.53/19.78 cnf(matrix-6769, plain, ( ( hAPP(hAPP(c_List_Oappend(_u15772), _u15774), hAPP(hAPP(c_List_Olist_OCons(_u15772), _u15776), c_List_Olist_ONil(_u15772))) != hAPP(hAPP(c_List_Oappend(_u15772), _u15778), hAPP(hAPP(c_List_Olist_OCons(_u15772), _u15780), c_List_Olist_ONil(_u15772)))) | ( _u15774 = _u15778) )).
% 19.53/19.78 cnf(matrix-6770, plain, ( ( hAPP(hAPP(c_List_Oappend(_u15772), _u15774), hAPP(hAPP(c_List_Olist_OCons(_u15772), _u15776), c_List_Olist_ONil(_u15772))) != hAPP(hAPP(c_List_Oappend(_u15772), _u15778), hAPP(hAPP(c_List_Olist_OCons(_u15772), _u15780), c_List_Olist_ONil(_u15772)))) | ( _u15776 = _u15780) )).
% 19.53/19.78 cnf(matrix-6771, plain, ( ( _u15775 != _u15779) | ( _u15777 != _u15781) | ( hAPP(hAPP(c_List_Oappend(_u15773), _u15775), hAPP(hAPP(c_List_Olist_OCons(_u15773), _u15777), c_List_Olist_ONil(_u15773))) = hAPP(hAPP(c_List_Oappend(_u15773), _u15779), hAPP(hAPP(c_List_Olist_OCons(_u15773), _u15781), c_List_Olist_ONil(_u15773)))) )).
% 19.53/19.78 cnf(matrix-6772, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15789), _u15791), _u15793) != hAPP(hAPP(c_List_Oappend(_u15789), _u15795), _u15797)) | ( _u15795 = c_List_Olist_ONil(_u15789)) | ( hAPP(hAPP(c_List_Olist_OCons(_u15789), _u15791), skolem413(_u15797, _u15795, _u15793, _u15791, _u15789)) = _u15795) )).
% 19.53/19.78 cnf(matrix-6773, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15789), _u15791), _u15793) != hAPP(hAPP(c_List_Oappend(_u15789), _u15795), _u15797)) | ( _u15795 = c_List_Olist_ONil(_u15789)) | ( _u15793 = hAPP(hAPP(c_List_Oappend(_u15789), skolem413(_u15797, _u15795, _u15793, _u15791, _u15789)), _u15797)) )).
% 19.53/19.78 cnf(matrix-6774, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15789), _u15791), _u15793) != hAPP(hAPP(c_List_Oappend(_u15789), _u15795), _u15797)) | ( hAPP(hAPP(c_List_Olist_OCons(_u15789), _u15791), _u15793) = _u15797) | ( hAPP(hAPP(c_List_Olist_OCons(_u15789), _u15791), skolem413(_u15797, _u15795, _u15793, _u15791, _u15789)) = _u15795) )).
% 19.53/19.78 cnf(matrix-6775, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15789), _u15791), _u15793) != hAPP(hAPP(c_List_Oappend(_u15789), _u15795), _u15797)) | ( hAPP(hAPP(c_List_Olist_OCons(_u15789), _u15791), _u15793) = _u15797) | ( _u15793 = hAPP(hAPP(c_List_Oappend(_u15789), skolem413(_u15797, _u15795, _u15793, _u15791, _u15789)), _u15797)) )).
% 19.53/19.78 cnf(matrix-6776, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15790), _u15792), _u15794) = hAPP(hAPP(c_List_Oappend(_u15790), _u15796), _u15798)) | ( _u15796 != c_List_Olist_ONil(_u15790)) | ( hAPP(hAPP(c_List_Olist_OCons(_u15790), _u15792), _u15794) != _u15798) )).
% 19.53/19.78 cnf(matrix-6777, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15790), _u15792), _u15794) = hAPP(hAPP(c_List_Oappend(_u15790), _u15796), _u15798)) | ( hAPP(hAPP(c_List_Olist_OCons(_u15790), _u15792), _u15783) != _u15796) | ( _u15794 != hAPP(hAPP(c_List_Oappend(_u15790), _u15783), _u15798)) )).
% 19.53/19.78 cnf(matrix-6778, plain, ( ( hAPP(hAPP(c_List_Oappend(_u15806), _u15808), _u15810) != hAPP(hAPP(c_List_Olist_OCons(_u15806), _u15812), _u15814)) | ( _u15808 = c_List_Olist_ONil(_u15806)) | ( _u15808 = hAPP(hAPP(c_List_Olist_OCons(_u15806), _u15812), skolem414(_u15814, _u15812, _u15810, _u15808, _u15806))) )).
% 19.53/19.78 cnf(matrix-6779, plain, ( ( hAPP(hAPP(c_List_Oappend(_u15806), _u15808), _u15810) != hAPP(hAPP(c_List_Olist_OCons(_u15806), _u15812), _u15814)) | ( _u15808 = c_List_Olist_ONil(_u15806)) | ( hAPP(hAPP(c_List_Oappend(_u15806), skolem414(_u15814, _u15812, _u15810, _u15808, _u15806)), _u15810) = _u15814) )).
% 19.53/19.78 cnf(matrix-6780, plain, ( ( hAPP(hAPP(c_List_Oappend(_u15806), _u15808), _u15810) != hAPP(hAPP(c_List_Olist_OCons(_u15806), _u15812), _u15814)) | ( _u15810 = hAPP(hAPP(c_List_Olist_OCons(_u15806), _u15812), _u15814)) | ( _u15808 = hAPP(hAPP(c_List_Olist_OCons(_u15806), _u15812), skolem414(_u15814, _u15812, _u15810, _u15808, _u15806))) )).
% 19.53/19.78 cnf(matrix-6781, plain, ( ( hAPP(hAPP(c_List_Oappend(_u15806), _u15808), _u15810) != hAPP(hAPP(c_List_Olist_OCons(_u15806), _u15812), _u15814)) | ( _u15810 = hAPP(hAPP(c_List_Olist_OCons(_u15806), _u15812), _u15814)) | ( hAPP(hAPP(c_List_Oappend(_u15806), skolem414(_u15814, _u15812, _u15810, _u15808, _u15806)), _u15810) = _u15814) )).
% 19.53/19.78 cnf(matrix-6782, plain, ( ( hAPP(hAPP(c_List_Oappend(_u15807), _u15809), _u15811) = hAPP(hAPP(c_List_Olist_OCons(_u15807), _u15813), _u15815)) | ( _u15809 != c_List_Olist_ONil(_u15807)) | ( _u15811 != hAPP(hAPP(c_List_Olist_OCons(_u15807), _u15813), _u15815)) )).
% 19.53/19.78 cnf(matrix-6783, plain, ( ( hAPP(hAPP(c_List_Oappend(_u15807), _u15809), _u15811) = hAPP(hAPP(c_List_Olist_OCons(_u15807), _u15813), _u15815)) | ( _u15809 != hAPP(hAPP(c_List_Olist_OCons(_u15807), _u15813), _u15800)) | ( hAPP(hAPP(c_List_Oappend(_u15807), _u15800), _u15811) != _u15815) )).
% 19.53/19.78 cnf(matrix-6784, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15816), _u15817), _u15818) != _u15819) | ( _u15820 != hAPP(hAPP(c_List_Oappend(_u15816), _u15818), _u15821)) | ( hAPP(hAPP(c_List_Olist_OCons(_u15816), _u15817), _u15820) = hAPP(hAPP(c_List_Oappend(_u15816), _u15819), _u15821)) )).
% 19.53/19.78 cnf(matrix-6785, plain, ( ( hAPP(hAPP(c_List_Oappend(_u15822), hAPP(hAPP(c_List_Olist_OCons(_u15822), _u15823), _u15824)), _u15825) = hAPP(hAPP(c_List_Olist_OCons(_u15822), _u15823), hAPP(hAPP(c_List_Oappend(_u15822), _u15824), _u15825))) )).
% 19.53/19.78 cnf(matrix-6786, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15830)), hAPP(hAPP(c_List_Oappend(_u15830), _u15832), _u15834)), c_List_Olists(_u15830, _u15836))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15830)), _u15832), c_List_Olists(_u15830, _u15836))) )).
% 19.53/19.78 cnf(matrix-6787, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15830)), hAPP(hAPP(c_List_Oappend(_u15830), _u15832), _u15834)), c_List_Olists(_u15830, _u15836))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15830)), _u15834), c_List_Olists(_u15830, _u15836))) )).
% 19.53/19.78 cnf(matrix-6788, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15831)), _u15833), c_List_Olists(_u15831, _u15837))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15831)), _u15835), c_List_Olists(_u15831, _u15837))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15831)), hAPP(hAPP(c_List_Oappend(_u15831), _u15833), _u15835)), c_List_Olists(_u15831, _u15837))) )).
% 19.53/19.78 cnf(matrix-6789, plain, ( ( hAPP(hAPP(c_List_Oappend(_u15838), hAPP(hAPP(c_List_Oappend(_u15838), _u15839), _u15840)), _u15841) = hAPP(hAPP(c_List_Oappend(_u15838), _u15839), hAPP(hAPP(c_List_Oappend(_u15838), _u15840), _u15841))) )).
% 19.53/19.78 cnf(matrix-6790, plain, ( ( hAPP(hAPP(c_List_Oappend(_u15853), _u15855), _u15857) != hAPP(hAPP(c_List_Oappend(_u15853), _u15859), _u15861)) | ( _u15855 = hAPP(hAPP(c_List_Oappend(_u15853), _u15859), skolem415(_u15861, _u15859, _u15857, _u15855, _u15853))) | ( hAPP(hAPP(c_List_Oappend(_u15853), _u15855), skolem416(_u15861, _u15859, _u15857, _u15855, _u15853)) = _u15859) )).
% 19.53/19.78 cnf(matrix-6791, plain, ( ( hAPP(hAPP(c_List_Oappend(_u15853), _u15855), _u15857) != hAPP(hAPP(c_List_Oappend(_u15853), _u15859), _u15861)) | ( _u15855 = hAPP(hAPP(c_List_Oappend(_u15853), _u15859), skolem415(_u15861, _u15859, _u15857, _u15855, _u15853))) | ( _u15857 = hAPP(hAPP(c_List_Oappend(_u15853), skolem416(_u15861, _u15859, _u15857, _u15855, _u15853)), _u15861)) )).
% 19.53/19.78 cnf(matrix-6792, plain, ( ( hAPP(hAPP(c_List_Oappend(_u15853), _u15855), _u15857) != hAPP(hAPP(c_List_Oappend(_u15853), _u15859), _u15861)) | ( hAPP(hAPP(c_List_Oappend(_u15853), skolem415(_u15861, _u15859, _u15857, _u15855, _u15853)), _u15857) = _u15861) | ( hAPP(hAPP(c_List_Oappend(_u15853), _u15855), skolem416(_u15861, _u15859, _u15857, _u15855, _u15853)) = _u15859) )).
% 19.53/19.78 cnf(matrix-6793, plain, ( ( hAPP(hAPP(c_List_Oappend(_u15853), _u15855), _u15857) != hAPP(hAPP(c_List_Oappend(_u15853), _u15859), _u15861)) | ( hAPP(hAPP(c_List_Oappend(_u15853), skolem415(_u15861, _u15859, _u15857, _u15855, _u15853)), _u15857) = _u15861) | ( _u15857 = hAPP(hAPP(c_List_Oappend(_u15853), skolem416(_u15861, _u15859, _u15857, _u15855, _u15853)), _u15861)) )).
% 19.53/19.78 cnf(matrix-6794, plain, ( ( hAPP(hAPP(c_List_Oappend(_u15854), _u15856), _u15858) = hAPP(hAPP(c_List_Oappend(_u15854), _u15860), _u15862)) | ( _u15856 != hAPP(hAPP(c_List_Oappend(_u15854), _u15860), _u15851)) | ( hAPP(hAPP(c_List_Oappend(_u15854), _u15851), _u15858) != _u15862) )).
% 19.53/19.78 cnf(matrix-6795, plain, ( ( hAPP(hAPP(c_List_Oappend(_u15854), _u15856), _u15858) = hAPP(hAPP(c_List_Oappend(_u15854), _u15860), _u15862)) | ( hAPP(hAPP(c_List_Oappend(_u15854), _u15856), _u15852) != _u15860) | ( _u15858 != hAPP(hAPP(c_List_Oappend(_u15854), _u15852), _u15862)) )).
% 19.53/19.78 cnf(matrix-6796, plain, ( ( _u15871 = _u15873) | ( hAPP(hAPP(c_List_Oappend(_u15867), _u15869), _u15871) != hAPP(hAPP(c_List_Oappend(_u15867), _u15869), _u15873)) )).
% 19.53/19.78 cnf(matrix-6797, plain, ( ( _u15872 != _u15874) | ( hAPP(hAPP(c_List_Oappend(_u15868), _u15870), _u15872) = hAPP(hAPP(c_List_Oappend(_u15868), _u15870), _u15874)) )).
% 19.53/19.78 cnf(matrix-6798, plain, ( ( _u15881 = _u15885) | ( hAPP(hAPP(c_List_Oappend(_u15879), _u15881), _u15883) != hAPP(hAPP(c_List_Oappend(_u15879), _u15885), _u15883)) )).
% 19.53/19.78 cnf(matrix-6799, plain, ( ( _u15882 != _u15886) | ( hAPP(hAPP(c_List_Oappend(_u15880), _u15882), _u15884) = hAPP(hAPP(c_List_Oappend(_u15880), _u15886), _u15884)) )).
% 19.53/19.78 cnf(matrix-6800, plain, ( ( hAPP(hAPP(c_List_Oappend(_u15887), _u15888), _u15889) != _u15890) | ( _u15891 != hAPP(hAPP(c_List_Oappend(_u15887), _u15889), _u15892)) | ( hAPP(hAPP(c_List_Oappend(_u15887), _u15888), _u15891) = hAPP(hAPP(c_List_Oappend(_u15887), _u15890), _u15892)) )).
% 19.53/19.78 cnf(matrix-6801, plain, ( ~class_Groups_Omonoid__add(_u15893) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u15893), hAPP(hAPP(c_List_Oappend(_u15893), _u15894), _u15895)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15893), hAPP(c_List_Omonoid__add__class_Olistsum(_u15893), _u15894)), hAPP(c_List_Omonoid__add__class_Olistsum(_u15893), _u15895))) )).
% 19.53/19.78 cnf(matrix-6802, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15896)), hAPP(hAPP(c_List_Oappend(_u15896), _u15897), _u15898)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15896)), _u15897)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15896)), _u15898))) )).
% 19.53/19.78 cnf(matrix-6803, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15899)), _u15900) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15901)), _u15902)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15899)), _u15903) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15901)), _u15904)) | ( hAPP(hAPP(c_List_Ozip(_u15899, _u15901), hAPP(hAPP(c_List_Oappend(_u15899), _u15900), _u15903)), hAPP(hAPP(c_List_Oappend(_u15901), _u15902), _u15904)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u15899, _u15901)), hAPP(hAPP(c_List_Ozip(_u15899, _u15901), _u15900), _u15902)), hAPP(hAPP(c_List_Ozip(_u15899, _u15901), _u15903), _u15904))) )).
% 19.53/19.78 cnf(matrix-6804, plain, ( ( hAPP(c_List_Oset(_u15905), hAPP(hAPP(c_List_Oappend(_u15905), _u15906), _u15907)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15905, tc_HOL_Obool)), hAPP(c_List_Oset(_u15905), _u15906)), hAPP(c_List_Oset(_u15905), _u15907))) )).
% 19.53/19.78 cnf(matrix-6805, plain, ( ( _u15908 != _u15909) | ( _u15908 = hAPP(hAPP(c_List_Oappend(_u15910), c_List_Olist_ONil(_u15910)), _u15909)) )).
% 19.53/19.78 cnf(matrix-6806, plain, ( ( hAPP(hAPP(c_List_Oappend(_u15914), _u15916), _u15918) != _u15918) | ( _u15916 = c_List_Olist_ONil(_u15914)) )).
% 19.53/19.78 cnf(matrix-6807, plain, ( ( _u15917 != c_List_Olist_ONil(_u15915)) | ( hAPP(hAPP(c_List_Oappend(_u15915), _u15917), _u15919) = _u15919) )).
% 19.53/19.78 cnf(matrix-6808, plain, ( ( hAPP(hAPP(c_List_Oappend(_u15923), _u15925), _u15927) != _u15925) | ( _u15927 = c_List_Olist_ONil(_u15923)) )).
% 19.53/19.78 cnf(matrix-6809, plain, ( ( _u15928 != c_List_Olist_ONil(_u15924)) | ( hAPP(hAPP(c_List_Oappend(_u15924), _u15926), _u15928) = _u15926) )).
% 19.53/19.78 cnf(matrix-6810, plain, ( ( hAPP(hAPP(c_List_Oappend(_u15932), _u15934), _u15936) != c_List_Olist_ONil(_u15932)) | ( _u15934 = c_List_Olist_ONil(_u15932)) )).
% 19.53/19.78 cnf(matrix-6811, plain, ( ( hAPP(hAPP(c_List_Oappend(_u15932), _u15934), _u15936) != c_List_Olist_ONil(_u15932)) | ( _u15936 = c_List_Olist_ONil(_u15932)) )).
% 19.53/19.78 cnf(matrix-6812, plain, ( ( _u15935 != c_List_Olist_ONil(_u15933)) | ( _u15937 != c_List_Olist_ONil(_u15933)) | ( hAPP(hAPP(c_List_Oappend(_u15933), _u15935), _u15937) = c_List_Olist_ONil(_u15933)) )).
% 19.53/19.78 cnf(matrix-6813, plain, ( ( _u15945 = c_List_Olist_ONil(_u15943)) | ( _u15941 != hAPP(hAPP(c_List_Oappend(_u15943), _u15945), _u15941)) )).
% 19.53/19.78 cnf(matrix-6814, plain, ( ( _u15946 != c_List_Olist_ONil(_u15944)) | ( _u15942 = hAPP(hAPP(c_List_Oappend(_u15944), _u15946), _u15942)) )).
% 19.53/19.78 cnf(matrix-6815, plain, ( ( _u15954 = c_List_Olist_ONil(_u15952)) | ( _u15950 != hAPP(hAPP(c_List_Oappend(_u15952), _u15950), _u15954)) )).
% 19.53/19.78 cnf(matrix-6816, plain, ( ( _u15955 != c_List_Olist_ONil(_u15953)) | ( _u15951 = hAPP(hAPP(c_List_Oappend(_u15953), _u15951), _u15955)) )).
% 19.53/19.78 cnf(matrix-6817, plain, ( ( hAPP(hAPP(c_List_Oappend(_u15956), _u15957), c_List_Olist_ONil(_u15956)) = _u15957) )).
% 19.53/19.78 cnf(matrix-6818, plain, ( ( c_List_Olist_ONil(_u15961) != hAPP(hAPP(c_List_Oappend(_u15961), _u15963), _u15965)) | ( _u15963 = c_List_Olist_ONil(_u15961)) )).
% 19.53/19.78 cnf(matrix-6819, plain, ( ( c_List_Olist_ONil(_u15961) != hAPP(hAPP(c_List_Oappend(_u15961), _u15963), _u15965)) | ( _u15965 = c_List_Olist_ONil(_u15961)) )).
% 19.53/19.78 cnf(matrix-6820, plain, ( ( _u15964 != c_List_Olist_ONil(_u15962)) | ( _u15966 != c_List_Olist_ONil(_u15962)) | ( c_List_Olist_ONil(_u15962) = hAPP(hAPP(c_List_Oappend(_u15962), _u15964), _u15966)) )).
% 19.53/19.78 cnf(matrix-6821, plain, ( ( hAPP(hAPP(c_List_Oappend(_u15967), c_List_Olist_ONil(_u15967)), _u15968) = _u15968) )).
% 19.53/19.78 cnf(matrix-6822, plain, ( ( _u15972 != c_List_Olist_ONil(_u15974)) | ( c_List_Obutlast(_u15974, hAPP(hAPP(c_List_Oappend(_u15974), _u15976), _u15972)) = c_List_Obutlast(_u15974, _u15976)) )).
% 19.53/19.78 cnf(matrix-6823, plain, ( ( _u15973 = c_List_Olist_ONil(_u15975)) | ( c_List_Obutlast(_u15975, hAPP(hAPP(c_List_Oappend(_u15975), _u15977), _u15973)) = hAPP(hAPP(c_List_Oappend(_u15975), _u15977), c_List_Obutlast(_u15975, _u15973))) )).
% 19.53/19.78 cnf(matrix-6824, plain, ( ( hAPP(hAPP(c_List_Onth(_u15978), hAPP(hAPP(c_List_Oappend(_u15978), _u15979), hAPP(hAPP(c_List_Olist_OCons(_u15978), _u15980), _u15981))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15978)), _u15979)) = _u15980) )).
% 19.53/19.78 cnf(matrix-6825, plain, ( ( hAPP(hAPP(c_List_Onth(_u15982), hAPP(hAPP(c_List_Oappend(_u15982), _u15983), _u15984)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15982)), _u15983)), _u15985)) = hAPP(hAPP(c_List_Onth(_u15982), _u15984), _u15985)) )).
% 19.53/19.78 cnf(matrix-6826, plain, ( ( hAPP(hAPP(c_List_Otake(_u15986), _u15987), hAPP(hAPP(c_List_Oappend(_u15986), _u15988), _u15989)) = hAPP(hAPP(c_List_Oappend(_u15986), hAPP(hAPP(c_List_Otake(_u15986), _u15987), _u15988)), hAPP(hAPP(c_List_Otake(_u15986), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15987), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15986)), _u15988))), _u15989))) )).
% 19.53/19.78 cnf(matrix-6827, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15990), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15991)), _u15992))) | ( hAPP(hAPP(c_List_Olist__update(_u15991, hAPP(hAPP(c_List_Oappend(_u15991), _u15992), _u15993)), _u15990), _u15994) = hAPP(hAPP(c_List_Oappend(_u15991), hAPP(hAPP(c_List_Olist__update(_u15991, _u15992), _u15990), _u15994)), _u15993)) )).
% 19.53/19.78 cnf(matrix-6828, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u15995, hAPP(hAPP(c_List_Oappend(_u15995), _u15996), hAPP(hAPP(c_List_Olist_OCons(_u15995), _u15997), _u15998))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15995)), _u15996)), _u15999) = hAPP(hAPP(c_List_Oappend(_u15995), _u15996), hAPP(hAPP(c_List_Olist_OCons(_u15995), _u15999), _u15998))) )).
% 19.53/19.78 cnf(matrix-6829, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16004), _u16006), hAPP(c_List_Oset(_u16004), _u16008))) | ( c_List_Oremove1(_u16004, _u16006, hAPP(hAPP(c_List_Oappend(_u16004), _u16008), _u16010)) = hAPP(hAPP(c_List_Oappend(_u16004), c_List_Oremove1(_u16004, _u16006, _u16008)), _u16010)) )).
% 19.53/19.78 cnf(matrix-6830, plain, ( hBOOL(hAPP(hAPP(c_member(_u16005), _u16007), hAPP(c_List_Oset(_u16005), _u16009))) | ( c_List_Oremove1(_u16005, _u16007, hAPP(hAPP(c_List_Oappend(_u16005), _u16009), _u16011)) = hAPP(hAPP(c_List_Oappend(_u16005), _u16009), c_List_Oremove1(_u16005, _u16007, _u16011))) )).
% 19.53/19.78 cnf(matrix-6831, plain, ( hBOOL(hAPP(hAPP(c_member(_u16012), _u16013), hAPP(c_List_Oset(_u16012), c_List_Obutlast(_u16012, hAPP(hAPP(c_List_Oappend(_u16012), _u16014), _u16015))))) | ~hBOOL(hAPP(hAPP(c_member(_u16012), _u16013), hAPP(c_List_Oset(_u16012), c_List_Obutlast(_u16012, _u16014)))) )).
% 19.53/19.78 cnf(matrix-6832, plain, ( hBOOL(hAPP(hAPP(c_member(_u16012), _u16013), hAPP(c_List_Oset(_u16012), c_List_Obutlast(_u16012, hAPP(hAPP(c_List_Oappend(_u16012), _u16014), _u16015))))) | ~hBOOL(hAPP(hAPP(c_member(_u16012), _u16013), hAPP(c_List_Oset(_u16012), c_List_Obutlast(_u16012, _u16015)))) )).
% 19.53/19.78 cnf(matrix-6833, plain, ( ( c_List_Obutlast(_u16016, hAPP(hAPP(c_List_Oappend(_u16016), _u16017), hAPP(hAPP(c_List_Olist_OCons(_u16016), _u16018), c_List_Olist_ONil(_u16016)))) = _u16017) )).
% 19.53/19.78 cnf(matrix-6834, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16019), tc_List_Olist(_u16019))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16019), tc_List_Olist(_u16019)), hAPP(hAPP(c_List_Oappend(_u16019), _u16020), _u16023)), hAPP(hAPP(c_List_Oappend(_u16019), _u16021), _u16024))), c_List_Olistrel1(_u16019, _u16022))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16019), tc_List_Olist(_u16019))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16019), tc_List_Olist(_u16019)), _u16020), _u16021)), c_List_Olistrel1(_u16019, _u16022))) | ( _u16023 != _u16024) )).
% 19.53/19.78 cnf(matrix-6835, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16019), tc_List_Olist(_u16019))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16019), tc_List_Olist(_u16019)), hAPP(hAPP(c_List_Oappend(_u16019), _u16020), _u16023)), hAPP(hAPP(c_List_Oappend(_u16019), _u16021), _u16024))), c_List_Olistrel1(_u16019, _u16022))) | ( _u16020 != _u16021) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16019), tc_List_Olist(_u16019))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16019), tc_List_Olist(_u16019)), _u16023), _u16024)), c_List_Olistrel1(_u16019, _u16022))) )).
% 19.53/19.78 cnf(matrix-6836, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16025), tc_List_Olist(_u16025))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16025), tc_List_Olist(_u16025)), _u16026), _u16027)), c_List_Olexord(_u16025, _u16028))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16025), tc_List_Olist(_u16025))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16025), tc_List_Olist(_u16025)), hAPP(hAPP(c_List_Oappend(_u16025), _u16029), _u16026)), hAPP(hAPP(c_List_Oappend(_u16025), _u16029), _u16027))), c_List_Olexord(_u16025, _u16028))) )).
% 19.53/19.78 cnf(matrix-6837, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16033), hAPP(hAPP(c_List_Oappend(_u16033), _u16035), _u16037))) | hBOOL(hAPP(c_List_Odistinct(_u16033), _u16035)) )).
% 19.53/19.78 cnf(matrix-6838, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16033), hAPP(hAPP(c_List_Oappend(_u16033), _u16035), _u16037))) | hBOOL(hAPP(c_List_Odistinct(_u16033), _u16037)) )).
% 19.53/19.78 cnf(matrix-6839, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16033), hAPP(hAPP(c_List_Oappend(_u16033), _u16035), _u16037))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16033, tc_HOL_Obool)), hAPP(c_List_Oset(_u16033), _u16035)), hAPP(c_List_Oset(_u16033), _u16037)) = c_Orderings_Obot__class_Obot(tc_fun(_u16033, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-6840, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16034), _u16036)) | ~hBOOL(hAPP(c_List_Odistinct(_u16034), _u16038)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16034, tc_HOL_Obool)), hAPP(c_List_Oset(_u16034), _u16036)), hAPP(c_List_Oset(_u16034), _u16038)) != c_Orderings_Obot__class_Obot(tc_fun(_u16034, tc_HOL_Obool))) | hBOOL(hAPP(c_List_Odistinct(_u16034), hAPP(hAPP(c_List_Oappend(_u16034), _u16036), _u16038))) )).
% 19.53/19.78 cnf(matrix-6841, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16043), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16045)), _u16047))) | ( hAPP(hAPP(c_List_Onth(_u16045), hAPP(hAPP(c_List_Oappend(_u16045), _u16047), _u16049)), _u16043) = hAPP(hAPP(c_List_Onth(_u16045), _u16047), _u16043)) )).
% 19.53/19.78 cnf(matrix-6842, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16044), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16046)), _u16048))) | ( hAPP(hAPP(c_List_Onth(_u16046), hAPP(hAPP(c_List_Oappend(_u16046), _u16048), _u16050)), _u16044) = hAPP(hAPP(c_List_Onth(_u16046), _u16050), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16044), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16046)), _u16048)))) )).
% 19.53/19.78 cnf(matrix-6843, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16056), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16058)), _u16060))) | ( hAPP(hAPP(c_List_Olist__update(_u16058, hAPP(hAPP(c_List_Oappend(_u16058), _u16060), _u16062)), _u16056), _u16064) = hAPP(hAPP(c_List_Oappend(_u16058), hAPP(hAPP(c_List_Olist__update(_u16058, _u16060), _u16056), _u16064)), _u16062)) )).
% 19.53/19.78 cnf(matrix-6844, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16057), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16059)), _u16061))) | ( hAPP(hAPP(c_List_Olist__update(_u16059, hAPP(hAPP(c_List_Oappend(_u16059), _u16061), _u16063)), _u16057), _u16065) = hAPP(hAPP(c_List_Oappend(_u16059), _u16061), hAPP(hAPP(c_List_Olist__update(_u16059, _u16063), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16057), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16059)), _u16061))), _u16065))) )).
% 19.53/19.78 cnf(matrix-6845, plain, ( ( c_List_Osublist(_u16066, hAPP(hAPP(c_List_Oappend(_u16066), _u16067), _u16068), _u16069) = hAPP(hAPP(c_List_Oappend(_u16066), c_List_Osublist(_u16066, _u16067, _u16069)), c_List_Osublist(_u16066, _u16068, hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), tc_Nat_Onat), c_member(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16066)), _u16067)))), _u16069))))) )).
% 19.53/19.78 cnf(matrix-6846, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16070, _u16070)), hAPP(hAPP(c_Product__Type_OPair(_u16070, _u16070), _u16071), _u16072)), _u16073)) | ( _u16074 != hAPP(hAPP(c_List_Oappend(_u16070), _u16075), hAPP(hAPP(c_List_Olist_OCons(_u16070), _u16071), _u16076))) | ( _u16077 != hAPP(hAPP(c_List_Oappend(_u16070), _u16075), hAPP(hAPP(c_List_Olist_OCons(_u16070), _u16072), _u16076))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16070), tc_List_Olist(_u16070))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16070), tc_List_Olist(_u16070)), _u16074), _u16077)), c_List_Olistrel1(_u16070, _u16073))) )).
% 19.53/19.78 cnf(matrix-6847, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16078, _u16078)), hAPP(hAPP(c_Product__Type_OPair(_u16078, _u16078), _u16079), _u16080)), _u16081)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16078), tc_List_Olist(_u16078))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16078), tc_List_Olist(_u16078)), hAPP(hAPP(c_List_Oappend(_u16078), _u16082), hAPP(hAPP(c_List_Olist_OCons(_u16078), _u16079), _u16083))), hAPP(hAPP(c_List_Oappend(_u16078), _u16082), hAPP(hAPP(c_List_Olist_OCons(_u16078), _u16080), _u16084)))), c_List_Olexord(_u16078, _u16081))) )).
% 19.53/19.78 cnf(matrix-6848, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16085), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16086)), _u16087))) | ( hAPP(hAPP(c_List_Otake(_u16086), hAPP(c_Nat_OSuc, _u16085)), _u16087) = hAPP(hAPP(c_List_Oappend(_u16086), hAPP(hAPP(c_List_Otake(_u16086), _u16085), _u16087)), hAPP(hAPP(c_List_Olist_OCons(_u16086), hAPP(hAPP(c_List_Onth(_u16086), _u16087), _u16085)), c_List_Olist_ONil(_u16086)))) )).
% 19.53/19.78 cnf(matrix-6849, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16094), tc_List_Olist(_u16094))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16094), tc_List_Olist(_u16094)), hAPP(hAPP(c_List_Oappend(_u16094), _u16096), hAPP(hAPP(c_List_Olist_OCons(_u16094), _u16098), c_List_Olist_ONil(_u16094)))), hAPP(hAPP(c_List_Oappend(_u16094), _u16100), hAPP(hAPP(c_List_Olist_OCons(_u16094), _u16102), c_List_Olist_ONil(_u16094))))), c_List_Olistrel1(_u16094, _u16104))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16094), tc_List_Olist(_u16094))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16094), tc_List_Olist(_u16094)), _u16096), _u16100)), c_List_Olistrel1(_u16094, _u16104))) | ( _u16096 = _u16100) )).
% 19.53/19.78 cnf(matrix-6850, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16094), tc_List_Olist(_u16094))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16094), tc_List_Olist(_u16094)), hAPP(hAPP(c_List_Oappend(_u16094), _u16096), hAPP(hAPP(c_List_Olist_OCons(_u16094), _u16098), c_List_Olist_ONil(_u16094)))), hAPP(hAPP(c_List_Oappend(_u16094), _u16100), hAPP(hAPP(c_List_Olist_OCons(_u16094), _u16102), c_List_Olist_ONil(_u16094))))), c_List_Olistrel1(_u16094, _u16104))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16094), tc_List_Olist(_u16094))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16094), tc_List_Olist(_u16094)), _u16096), _u16100)), c_List_Olistrel1(_u16094, _u16104))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16094, _u16094)), hAPP(hAPP(c_Product__Type_OPair(_u16094, _u16094), _u16098), _u16102)), _u16104)) )).
% 19.53/19.78 cnf(matrix-6851, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16094), tc_List_Olist(_u16094))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16094), tc_List_Olist(_u16094)), hAPP(hAPP(c_List_Oappend(_u16094), _u16096), hAPP(hAPP(c_List_Olist_OCons(_u16094), _u16098), c_List_Olist_ONil(_u16094)))), hAPP(hAPP(c_List_Oappend(_u16094), _u16100), hAPP(hAPP(c_List_Olist_OCons(_u16094), _u16102), c_List_Olist_ONil(_u16094))))), c_List_Olistrel1(_u16094, _u16104))) | ( _u16098 = _u16102) | ( _u16096 = _u16100) )).
% 19.53/19.78 cnf(matrix-6852, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16094), tc_List_Olist(_u16094))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16094), tc_List_Olist(_u16094)), hAPP(hAPP(c_List_Oappend(_u16094), _u16096), hAPP(hAPP(c_List_Olist_OCons(_u16094), _u16098), c_List_Olist_ONil(_u16094)))), hAPP(hAPP(c_List_Oappend(_u16094), _u16100), hAPP(hAPP(c_List_Olist_OCons(_u16094), _u16102), c_List_Olist_ONil(_u16094))))), c_List_Olistrel1(_u16094, _u16104))) | ( _u16098 = _u16102) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16094, _u16094)), hAPP(hAPP(c_Product__Type_OPair(_u16094, _u16094), _u16098), _u16102)), _u16104)) )).
% 19.53/19.78 cnf(matrix-6853, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16095), tc_List_Olist(_u16095))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16095), tc_List_Olist(_u16095)), hAPP(hAPP(c_List_Oappend(_u16095), _u16097), hAPP(hAPP(c_List_Olist_OCons(_u16095), _u16099), c_List_Olist_ONil(_u16095)))), hAPP(hAPP(c_List_Oappend(_u16095), _u16101), hAPP(hAPP(c_List_Olist_OCons(_u16095), _u16103), c_List_Olist_ONil(_u16095))))), c_List_Olistrel1(_u16095, _u16105))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16095), tc_List_Olist(_u16095))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16095), tc_List_Olist(_u16095)), _u16097), _u16101)), c_List_Olistrel1(_u16095, _u16105))) | ( _u16099 != _u16103) )).
% 19.53/19.78 cnf(matrix-6854, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16095), tc_List_Olist(_u16095))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16095), tc_List_Olist(_u16095)), hAPP(hAPP(c_List_Oappend(_u16095), _u16097), hAPP(hAPP(c_List_Olist_OCons(_u16095), _u16099), c_List_Olist_ONil(_u16095)))), hAPP(hAPP(c_List_Oappend(_u16095), _u16101), hAPP(hAPP(c_List_Olist_OCons(_u16095), _u16103), c_List_Olist_ONil(_u16095))))), c_List_Olistrel1(_u16095, _u16105))) | ( _u16097 != _u16101) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16095, _u16095)), hAPP(hAPP(c_Product__Type_OPair(_u16095, _u16095), _u16099), _u16103)), _u16105)) )).
% 19.53/19.78 cnf(matrix-6855, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16110), tc_List_Olist(_u16110))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16110), tc_List_Olist(_u16110)), _u16111), _u16112)), c_List_Olistrel1(_u16110, _u16113))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16110, _u16110)), hAPP(hAPP(c_Product__Type_OPair(_u16110, _u16110), skolem417(_u16113, _u16112, _u16111, _u16110)), skolem418(_u16113, _u16112, _u16111, _u16110))), _u16113)) )).
% 19.53/19.78 cnf(matrix-6856, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16110), tc_List_Olist(_u16110))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16110), tc_List_Olist(_u16110)), _u16111), _u16112)), c_List_Olistrel1(_u16110, _u16113))) | ( _u16111 = hAPP(hAPP(c_List_Oappend(_u16110), skolem419(_u16113, _u16112, _u16111, _u16110)), hAPP(hAPP(c_List_Olist_OCons(_u16110), skolem417(_u16113, _u16112, _u16111, _u16110)), skolem420(_u16113, _u16112, _u16111, _u16110)))) )).
% 19.53/19.78 cnf(matrix-6857, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16110), tc_List_Olist(_u16110))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16110), tc_List_Olist(_u16110)), _u16111), _u16112)), c_List_Olistrel1(_u16110, _u16113))) | ( _u16112 = hAPP(hAPP(c_List_Oappend(_u16110), skolem419(_u16113, _u16112, _u16111, _u16110)), hAPP(hAPP(c_List_Olist_OCons(_u16110), skolem418(_u16113, _u16112, _u16111, _u16110)), skolem420(_u16113, _u16112, _u16111, _u16110)))) )).
% 19.53/19.78 cnf(matrix-6858, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16115), tc_List_Olist(_u16115))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16115), tc_List_Olist(_u16115)), hAPP(hAPP(c_List_Oappend(_u16115), _u16116), _u16117)), hAPP(hAPP(c_List_Oappend(_u16115), _u16116), _u16118))), c_List_Olexord(_u16115, _u16119))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16115, _u16115)), hAPP(hAPP(c_Product__Type_OPair(_u16115, _u16115), skolem421(_u16119, _u16118, _u16117, _u16116, _u16115)), skolem421(_u16119, _u16118, _u16117, _u16116, _u16115))), _u16119)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16115), tc_List_Olist(_u16115))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16115), tc_List_Olist(_u16115)), _u16117), _u16118)), c_List_Olexord(_u16115, _u16119))) )).
% 19.53/19.78 cnf(matrix-6859, plain, ( ( hAPP(c_List_Orotate1(_u16120), _u16121) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u16120), _u16120, c_List_Olist_ONil(_u16120), hAPP(hAPP(c_COMBB(tc_List_Olist(_u16120), tc_fun(tc_List_Olist(_u16120), tc_List_Olist(_u16120)), _u16120), hAPP(c_COMBC(tc_List_Olist(_u16120), tc_List_Olist(_u16120), tc_List_Olist(_u16120)), c_List_Oappend(_u16120))), hAPP(hAPP(c_COMBC(_u16120, tc_List_Olist(_u16120), tc_List_Olist(_u16120)), c_List_Olist_OCons(_u16120)), c_List_Olist_ONil(_u16120)))), _u16121)) )).
% 19.53/19.78 cnf(matrix-6860, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16122), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16123)), _u16124))) | ( hAPP(hAPP(c_List_Olist__update(_u16123, _u16124), _u16122), _u16125) = hAPP(hAPP(c_List_Oappend(_u16123), hAPP(hAPP(c_List_Otake(_u16123), _u16122), _u16124)), hAPP(hAPP(c_List_Olist_OCons(_u16123), _u16125), hAPP(hAPP(c_List_Odrop(_u16123), hAPP(c_Nat_OSuc, _u16122)), _u16124)))) )).
% 19.53/19.78 cnf(matrix-6861, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16126), hAPP(hAPP(c_List_Otake(_u16126), _u16127), _u16128)), hAPP(hAPP(c_List_Odrop(_u16126), _u16127), _u16128)) = _u16128) )).
% 19.53/19.78 cnf(matrix-6862, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16129), hAPP(c_Nat_OSuc, _u16130)), hAPP(hAPP(c_List_Olist_OCons(_u16129), _u16131), _u16132)) = hAPP(hAPP(c_List_Odrop(_u16129), _u16130), _u16132)) )).
% 19.53/19.78 cnf(matrix-6863, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16133), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u16133), _u16134), _u16135)) = _u16135) )).
% 19.53/19.78 cnf(matrix-6864, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16136), _u16137), _u16138) != hAPP(hAPP(c_List_Olist_OCons(_u16136), _u16139), _u16140)) | ( hAPP(hAPP(c_List_Onth(_u16136), _u16138), _u16137) = _u16139) )).
% 19.53/19.78 cnf(matrix-6865, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16143), hAPP(c_List_Orotate1(_u16143), _u16145))) | hBOOL(hAPP(c_List_Odistinct(_u16143), _u16145)) )).
% 19.53/19.78 cnf(matrix-6866, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16144), _u16146)) | hBOOL(hAPP(c_List_Odistinct(_u16144), hAPP(c_List_Orotate1(_u16144), _u16146))) )).
% 19.53/19.78 cnf(matrix-6867, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16147), _u16148)) | hBOOL(hAPP(c_List_Odistinct(_u16147), hAPP(hAPP(c_List_Odrop(_u16147), _u16149), _u16148))) )).
% 19.53/19.78 cnf(matrix-6868, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16150), _u16151), c_List_Obutlast(_u16150, _u16152)) = c_List_Obutlast(_u16150, hAPP(hAPP(c_List_Odrop(_u16150), _u16151), _u16152))) )).
% 19.53/19.78 cnf(matrix-6869, plain, ( ( c_List_Obutlast(_u16153, hAPP(hAPP(c_List_Odrop(_u16153), _u16154), _u16155)) = hAPP(hAPP(c_List_Odrop(_u16153), _u16154), c_List_Obutlast(_u16153, _u16155))) )).
% 19.53/19.78 cnf(matrix-6870, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16156), _u16157), hAPP(hAPP(c_List_Otake(_u16156), _u16158), _u16159)) = hAPP(hAPP(c_List_Otake(_u16156), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16158), _u16157)), hAPP(hAPP(c_List_Odrop(_u16156), _u16157), _u16159))) )).
% 19.53/19.78 cnf(matrix-6871, plain, ( ( hAPP(hAPP(c_List_Otake(_u16160), _u16161), hAPP(hAPP(c_List_Odrop(_u16160), _u16162), _u16163)) = hAPP(hAPP(c_List_Odrop(_u16160), _u16162), hAPP(hAPP(c_List_Otake(_u16160), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16161), _u16162)), _u16163))) )).
% 19.53/19.78 cnf(matrix-6872, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16164), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16165) = _u16165) )).
% 19.53/19.78 cnf(matrix-6873, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16166), _u16167), hAPP(hAPP(c_List_Odrop(_u16166), _u16168), _u16169)) = hAPP(hAPP(c_List_Odrop(_u16166), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16167), _u16168)), _u16169)) )).
% 19.53/19.78 cnf(matrix-6874, plain, ( ( hAPP(hAPP(c_List_Odrop(tc_prod(_u16170, _u16171)), _u16172), hAPP(hAPP(c_List_Ozip(_u16170, _u16171), _u16173), _u16174)) = hAPP(hAPP(c_List_Ozip(_u16170, _u16171), hAPP(hAPP(c_List_Odrop(_u16170), _u16172), _u16173)), hAPP(hAPP(c_List_Odrop(_u16171), _u16172), _u16174))) )).
% 19.53/19.78 cnf(matrix-6875, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16175)), hAPP(c_List_Orotate1(_u16175), _u16176)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16175)), _u16176)) )).
% 19.53/19.78 cnf(matrix-6876, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16177)), hAPP(hAPP(c_List_Odrop(_u16177), _u16178), _u16179)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16177)), _u16179)), _u16178)) )).
% 19.53/19.78 cnf(matrix-6877, plain, ( ( hAPP(c_List_Oset(_u16180), hAPP(c_List_Orotate1(_u16180), _u16181)) = hAPP(c_List_Oset(_u16180), _u16181)) )).
% 19.53/19.78 cnf(matrix-6878, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16182), _u16183), hAPP(c_List_Oset(_u16182), hAPP(hAPP(c_List_Odrop(_u16182), _u16184), _u16185)))) | hBOOL(hAPP(hAPP(c_member(_u16182), _u16183), hAPP(c_List_Oset(_u16182), _u16185))) )).
% 19.53/19.78 cnf(matrix-6879, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16186, tc_HOL_Obool)), hAPP(c_List_Oset(_u16186), hAPP(hAPP(c_List_Odrop(_u16186), _u16187), _u16188))), hAPP(c_List_Oset(_u16186), _u16188))) )).
% 19.53/19.78 cnf(matrix-6880, plain, ( ( hAPP(c_List_Orotate1(_u16191), _u16193) != c_List_Olist_ONil(_u16191)) | ( _u16193 = c_List_Olist_ONil(_u16191)) )).
% 19.53/19.78 cnf(matrix-6881, plain, ( ( _u16194 != c_List_Olist_ONil(_u16192)) | ( hAPP(c_List_Orotate1(_u16192), _u16194) = c_List_Olist_ONil(_u16192)) )).
% 19.53/19.78 cnf(matrix-6882, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16195), _u16196), c_List_Olist_ONil(_u16195)) = c_List_Olist_ONil(_u16195)) )).
% 19.53/19.78 cnf(matrix-6883, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16197), _u16198)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16199, tc_HOL_Obool)), hAPP(c_List_Oset(_u16199), hAPP(hAPP(c_List_Odrop(_u16199), _u16198), _u16200))), hAPP(c_List_Oset(_u16199), hAPP(hAPP(c_List_Odrop(_u16199), _u16197), _u16200)))) )).
% 19.53/19.78 cnf(matrix-6884, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16201)), _u16202)), _u16203)) | ( hAPP(hAPP(c_List_Odrop(_u16201), _u16203), _u16202) = c_List_Olist_ONil(_u16201)) )).
% 19.53/19.78 cnf(matrix-6885, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16207), _u16209), _u16211) != c_List_Olist_ONil(_u16207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16207)), _u16211)), _u16209)) )).
% 19.53/19.78 cnf(matrix-6886, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16208)), _u16212)), _u16210)) | ( hAPP(hAPP(c_List_Odrop(_u16208), _u16210), _u16212) = c_List_Olist_ONil(_u16208)) )).
% 19.53/19.78 cnf(matrix-6887, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16213), _u16214), hAPP(hAPP(c_List_Oappend(_u16213), _u16215), _u16216)) = hAPP(hAPP(c_List_Oappend(_u16213), hAPP(hAPP(c_List_Odrop(_u16213), _u16214), _u16215)), hAPP(hAPP(c_List_Odrop(_u16213), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16214), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16213)), _u16215))), _u16216))) )).
% 19.53/19.78 cnf(matrix-6888, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16221), _u16223), _u16225) != _u16227) | ( _u16223 = hAPP(hAPP(c_List_Otake(_u16221), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16221)), _u16223)), _u16227)) )).
% 19.53/19.78 cnf(matrix-6889, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16221), _u16223), _u16225) != _u16227) | ( _u16225 = hAPP(hAPP(c_List_Odrop(_u16221), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16221)), _u16223)), _u16227)) )).
% 19.53/19.78 cnf(matrix-6890, plain, ( ( _u16224 != hAPP(hAPP(c_List_Otake(_u16222), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16222)), _u16224)), _u16228)) | ( _u16226 != hAPP(hAPP(c_List_Odrop(_u16222), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16222)), _u16224)), _u16228)) | ( hAPP(hAPP(c_List_Oappend(_u16222), _u16224), _u16226) = _u16228) )).
% 19.53/19.78 cnf(matrix-6891, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16229), _u16230), hAPP(hAPP(c_List_Olist_OCons(_u16229), _u16231), _u16232)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u16229), hAPP(hAPP(c_List_Olist_OCons(_u16229), _u16231), _u16232), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u16229), tc_List_Olist(_u16229)), c_List_Odrop(_u16229)), _u16232), _u16230)) )).
% 19.53/19.78 cnf(matrix-6892, plain, ( ( _u16237 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16239), _u16237), hAPP(hAPP(c_List_Olist_OCons(_u16239), _u16241), _u16243)) = hAPP(hAPP(c_List_Olist_OCons(_u16239), _u16241), _u16243)) )).
% 19.53/19.78 cnf(matrix-6893, plain, ( ( _u16238 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16240), _u16238), hAPP(hAPP(c_List_Olist_OCons(_u16240), _u16242), _u16244)) = hAPP(hAPP(c_List_Odrop(_u16240), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16238), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u16244)) )).
% 19.53/19.78 cnf(matrix-6894, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16245), _u16246)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16247)), _u16248))) | ( hAPP(hAPP(c_List_Onth(_u16247), hAPP(hAPP(c_List_Odrop(_u16247), _u16245), _u16248)), _u16246) = hAPP(hAPP(c_List_Onth(_u16247), _u16248), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16245), _u16246))) )).
% 19.53/19.78 cnf(matrix-6895, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16254), _u16256), _u16258) != hAPP(hAPP(c_List_Oappend(_u16254), _u16260), _u16262)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16254)), _u16256)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16254)), _u16260))) | ( _u16256 = hAPP(hAPP(c_List_Otake(_u16254), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16254)), _u16256)), _u16260)) )).
% 19.53/19.78 cnf(matrix-6896, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16254), _u16256), _u16258) != hAPP(hAPP(c_List_Oappend(_u16254), _u16260), _u16262)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16254)), _u16256)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16254)), _u16260))) | ( _u16258 = hAPP(hAPP(c_List_Oappend(_u16254), hAPP(hAPP(c_List_Odrop(_u16254), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16254)), _u16256)), _u16260)), _u16262)) )).
% 19.53/19.78 cnf(matrix-6897, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16254), _u16256), _u16258) != hAPP(hAPP(c_List_Oappend(_u16254), _u16260), _u16262)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16254)), _u16256)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16254)), _u16260))) | ( hAPP(hAPP(c_List_Otake(_u16254), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16254)), _u16260)), _u16256) = _u16260) )).
% 19.53/19.78 cnf(matrix-6898, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16254), _u16256), _u16258) != hAPP(hAPP(c_List_Oappend(_u16254), _u16260), _u16262)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16254)), _u16256)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16254)), _u16260))) | ( hAPP(hAPP(c_List_Oappend(_u16254), hAPP(hAPP(c_List_Odrop(_u16254), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16254)), _u16260)), _u16256)), _u16258) = _u16262) )).
% 19.53/19.78 cnf(matrix-6899, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16255), _u16257), _u16259) = hAPP(hAPP(c_List_Oappend(_u16255), _u16261), _u16263)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16255)), _u16257)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16255)), _u16261))) | ( hAPP(hAPP(c_List_Otake(_u16255), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16255)), _u16261)), _u16257) != _u16261) | ( hAPP(hAPP(c_List_Oappend(_u16255), hAPP(hAPP(c_List_Odrop(_u16255), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16255)), _u16261)), _u16257)), _u16259) != _u16263) )).
% 19.53/19.78 cnf(matrix-6900, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16255), _u16257), _u16259) = hAPP(hAPP(c_List_Oappend(_u16255), _u16261), _u16263)) | ( _u16257 != hAPP(hAPP(c_List_Otake(_u16255), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16255)), _u16257)), _u16261)) | ( _u16259 != hAPP(hAPP(c_List_Oappend(_u16255), hAPP(hAPP(c_List_Odrop(_u16255), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16255)), _u16257)), _u16261)), _u16263)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16255)), _u16257)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16255)), _u16261))) )).
% 19.53/19.78 cnf(matrix-6901, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16255), _u16257), _u16259) = hAPP(hAPP(c_List_Oappend(_u16255), _u16261), _u16263)) | ( _u16257 != hAPP(hAPP(c_List_Otake(_u16255), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16255)), _u16257)), _u16261)) | ( _u16259 != hAPP(hAPP(c_List_Oappend(_u16255), hAPP(hAPP(c_List_Odrop(_u16255), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16255)), _u16257)), _u16261)), _u16263)) | ( hAPP(hAPP(c_List_Otake(_u16255), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16255)), _u16261)), _u16257) != _u16261) | ( hAPP(hAPP(c_List_Oappend(_u16255), hAPP(hAPP(c_List_Odrop(_u16255), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16255)), _u16261)), _u16257)), _u16259) != _u16263) )).
% 19.53/19.78 cnf(matrix-6902, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16264), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16265)), _u16266))) | ( hAPP(hAPP(c_List_Olist_OCons(_u16265), hAPP(hAPP(c_List_Onth(_u16265), _u16266), _u16264)), hAPP(hAPP(c_List_Odrop(_u16265), hAPP(c_Nat_OSuc, _u16264)), _u16266)) = hAPP(hAPP(c_List_Odrop(_u16265), _u16264), _u16266)) )).
% 19.53/19.78 cnf(matrix-6903, plain, ( ( hAPP(c_List_Orotate1(_u16267), c_List_Olist_ONil(_u16267)) = c_List_Olist_ONil(_u16267)) )).
% 19.53/19.78 cnf(matrix-6904, plain, ( ( hAPP(c_List_Orotate1(_u16268), hAPP(hAPP(c_List_Olist_OCons(_u16268), _u16269), _u16270)) = hAPP(hAPP(c_List_Oappend(_u16268), _u16270), hAPP(hAPP(c_List_Olist_OCons(_u16268), _u16269), c_List_Olist_ONil(_u16268)))) )).
% 19.53/19.78 cnf(matrix-6905, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16275) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16277), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16275)), hAPP(hAPP(c_List_Olist_OCons(_u16277), _u16279), _u16281)) = hAPP(hAPP(c_List_Olist_OCons(_u16277), _u16279), _u16281)) )).
% 19.53/19.78 cnf(matrix-6906, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16276) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u16278), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16276)), hAPP(hAPP(c_List_Olist_OCons(_u16278), _u16280), _u16282)) = hAPP(hAPP(c_List_Odrop(_u16278), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16276)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u16282)) )).
% 19.53/19.78 cnf(matrix-6907, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16283), _u16284)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16285)), _u16286))) | ( hAPP(hAPP(c_List_Otake(_u16285), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16283), _u16284)), _u16286) = hAPP(hAPP(c_List_Oappend(_u16285), hAPP(hAPP(c_List_Otake(_u16285), _u16283), _u16286)), hAPP(hAPP(c_List_Otake(_u16285), _u16284), hAPP(hAPP(c_List_Odrop(_u16285), _u16283), _u16286)))) )).
% 19.53/19.78 cnf(matrix-6908, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16287)), _u16288)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate1(_u16287), _u16288) = _u16288) )).
% 19.53/19.78 cnf(matrix-6909, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16289, _u16290), _u16291), hAPP(hAPP(c_List_Oappend(_u16290), _u16292), _u16293)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u16289, _u16290)), hAPP(hAPP(c_List_Ozip(_u16289, _u16290), hAPP(hAPP(c_List_Otake(_u16289), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16290)), _u16292)), _u16291)), _u16292)), hAPP(hAPP(c_List_Ozip(_u16289, _u16290), hAPP(hAPP(c_List_Odrop(_u16289), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16290)), _u16292)), _u16291)), _u16293))) )).
% 19.53/19.78 cnf(matrix-6910, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16294, _u16295), hAPP(hAPP(c_List_Oappend(_u16294), _u16296), _u16297)), _u16298) = hAPP(hAPP(c_List_Oappend(tc_prod(_u16294, _u16295)), hAPP(hAPP(c_List_Ozip(_u16294, _u16295), _u16296), hAPP(hAPP(c_List_Otake(_u16295), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16294)), _u16296)), _u16298))), hAPP(hAPP(c_List_Ozip(_u16294, _u16295), _u16297), hAPP(hAPP(c_List_Odrop(_u16295), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16294)), _u16296)), _u16298)))) )).
% 19.53/19.78 cnf(matrix-6911, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16299), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16300)), _u16301))) | ( _u16301 = hAPP(hAPP(c_List_Oappend(_u16300), hAPP(hAPP(c_List_Otake(_u16300), _u16299), _u16301)), hAPP(hAPP(c_List_Olist_OCons(_u16300), hAPP(hAPP(c_List_Onth(_u16300), _u16301), _u16299)), hAPP(hAPP(c_List_Odrop(_u16300), hAPP(c_Nat_OSuc, _u16299)), _u16301)))) )).
% 19.53/19.78 cnf(matrix-6912, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16302), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16303)), _u16304))) | ( hAPP(hAPP(c_List_Oappend(_u16303), hAPP(hAPP(c_List_Otake(_u16303), _u16302), _u16304)), hAPP(hAPP(c_List_Olist_OCons(_u16303), hAPP(c_List_Ohd(_u16303), hAPP(hAPP(c_List_Odrop(_u16303), _u16302), _u16304))), c_List_Olist_ONil(_u16303))) = hAPP(hAPP(c_List_Otake(_u16303), hAPP(c_Nat_OSuc, _u16302)), _u16304)) )).
% 19.53/19.78 cnf(matrix-6913, plain, ( ( _u16305 = c_List_Olist_ONil(_u16306)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16307), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16306)), _u16305))) | ( hAPP(c_List_Ohd(_u16306), hAPP(hAPP(c_List_Odrop(_u16306), _u16307), _u16305)) = hAPP(hAPP(c_List_Onth(_u16306), _u16305), _u16307)) )).
% 19.53/19.78 cnf(matrix-6914, plain, ( ( hAPP(c_List_Ohd(_u16308), hAPP(hAPP(c_List_Olist_OCons(_u16308), _u16309), _u16310)) = _u16309) )).
% 19.53/19.78 cnf(matrix-6915, plain, ( ( _u16314 != c_List_Olist_ONil(_u16316)) | ( hAPP(c_List_Ohd(_u16316), hAPP(hAPP(c_List_Oappend(_u16316), _u16314), _u16318)) = hAPP(c_List_Ohd(_u16316), _u16318)) )).
% 19.53/19.78 cnf(matrix-6916, plain, ( ( _u16315 = c_List_Olist_ONil(_u16317)) | ( hAPP(c_List_Ohd(_u16317), hAPP(hAPP(c_List_Oappend(_u16317), _u16315), _u16319)) = hAPP(c_List_Ohd(_u16317), _u16315)) )).
% 19.53/19.78 cnf(matrix-6917, plain, ( ( _u16320 = c_List_Olist_ONil(_u16321)) | ( hAPP(c_List_Ohd(_u16321), hAPP(hAPP(c_List_Oappend(_u16321), _u16320), _u16322)) = hAPP(c_List_Ohd(_u16321), _u16320)) )).
% 19.53/19.78 cnf(matrix-6918, plain, ( ( _u16323 = c_List_Olist_ONil(_u16324)) | hBOOL(hAPP(hAPP(c_member(_u16324), hAPP(c_List_Ohd(_u16324), _u16323)), hAPP(c_List_Oset(_u16324), _u16323))) )).
% 19.53/19.78 cnf(matrix-6919, plain, ( ( _u16325 = c_List_Olist_ONil(_u16326)) | ( hAPP(c_List_Ohd(_u16326), _u16325) = hAPP(hAPP(c_List_Onth(_u16326), _u16325), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.53/19.78 cnf(matrix-6920, plain, ( ( _u16327 = c_List_Olist_ONil(_u16328)) | ( hAPP(c_List_Orotate1(_u16328), _u16327) = hAPP(hAPP(c_List_Oappend(_u16328), hAPP(c_List_Otl(_u16328), _u16327)), hAPP(hAPP(c_List_Olist_OCons(_u16328), hAPP(c_List_Ohd(_u16328), _u16327)), c_List_Olist_ONil(_u16328)))) )).
% 19.53/19.78 cnf(matrix-6921, plain, ( ( _u16329 = c_List_Olist_ONil(_u16330)) | ( hAPP(c_List_Ohd(_u16330), hAPP(c_List_Orotate(_u16330, _u16331), _u16329)) = hAPP(hAPP(c_List_Onth(_u16330), _u16329), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16331, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16330)), _u16329)))) )).
% 19.53/19.78 cnf(matrix-6922, plain, ( ( hAPP(c_List_Otl(_u16332), hAPP(hAPP(c_List_Odrop(_u16332), _u16333), _u16334)) = hAPP(hAPP(c_List_Odrop(_u16332), _u16333), hAPP(c_List_Otl(_u16332), _u16334))) )).
% 19.53/19.78 cnf(matrix-6923, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16335), _u16336), hAPP(c_List_Otl(_u16335), _u16337)) = hAPP(c_List_Otl(_u16335), hAPP(hAPP(c_List_Odrop(_u16335), _u16336), _u16337))) )).
% 19.53/19.78 cnf(matrix-6924, plain, ( ( hAPP(c_List_Otl(_u16338), hAPP(hAPP(c_List_Olist_OCons(_u16338), _u16339), _u16340)) = _u16340) )).
% 19.53/19.78 cnf(matrix-6925, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16344), hAPP(c_List_Orotate(_u16344, _u16346), _u16348))) | hBOOL(hAPP(c_List_Odistinct(_u16344), _u16348)) )).
% 19.53/19.78 cnf(matrix-6926, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16345), _u16349)) | hBOOL(hAPP(c_List_Odistinct(_u16345), hAPP(c_List_Orotate(_u16345, _u16347), _u16349))) )).
% 19.53/19.78 cnf(matrix-6927, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16350), _u16351)) | hBOOL(hAPP(c_List_Odistinct(_u16350), hAPP(c_List_Otl(_u16350), _u16351))) )).
% 19.53/19.78 cnf(matrix-6928, plain, ( ( hAPP(c_List_Orotate(_u16352, _u16353), hAPP(c_List_Orotate(_u16352, _u16354), _u16355)) = hAPP(c_List_Orotate(_u16352, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16353), _u16354)), _u16355)) )).
% 19.53/19.78 cnf(matrix-6929, plain, ( ( c_List_Orotate(_u16356, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(_u16356))) )).
% 19.53/19.78 cnf(matrix-6930, plain, ( ( c_List_Orotate(_u16357, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16358), _u16359)) = hAPP(c_Fun_Ocomp(tc_List_Olist(_u16357), tc_List_Olist(_u16357), tc_List_Olist(_u16357), c_List_Orotate(_u16357, _u16358)), c_List_Orotate(_u16357, _u16359))) )).
% 19.53/19.78 cnf(matrix-6931, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16360)), hAPP(c_List_Orotate(_u16360, _u16361), _u16362)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16360)), _u16362)) )).
% 19.53/19.78 cnf(matrix-6932, plain, ( ( hAPP(c_List_Oset(_u16363), hAPP(c_List_Orotate(_u16363, _u16364), _u16365)) = hAPP(c_List_Oset(_u16363), _u16365)) )).
% 19.53/19.78 cnf(matrix-6933, plain, ( ( hAPP(c_List_Orotate(_u16369, _u16371), _u16373) != c_List_Olist_ONil(_u16369)) | ( _u16373 = c_List_Olist_ONil(_u16369)) )).
% 19.53/19.78 cnf(matrix-6934, plain, ( ( _u16374 != c_List_Olist_ONil(_u16370)) | ( hAPP(c_List_Orotate(_u16370, _u16372), _u16374) = c_List_Olist_ONil(_u16370)) )).
% 19.53/19.78 cnf(matrix-6935, plain, ( ( hAPP(c_List_Otl(_u16375), c_List_Olist_ONil(_u16375)) = c_List_Olist_ONil(_u16375)) )).
% 19.53/19.78 cnf(matrix-6936, plain, ( ( hAPP(c_List_Orotate1(_u16376), hAPP(c_List_Orotate(_u16376, _u16377), _u16378)) = hAPP(c_List_Orotate(_u16376, _u16377), hAPP(c_List_Orotate1(_u16376), _u16378))) )).
% 19.53/19.78 cnf(matrix-6937, plain, ( ( c_List_Orotate(_u16379, _u16380) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(_u16379), tc_List_Olist(_u16379)), _u16380), c_List_Orotate1(_u16379))) )).
% 19.53/19.78 cnf(matrix-6938, plain, ( ( _u16381 = c_List_Olist_ONil(_u16382)) | ( hAPP(c_List_Otl(_u16382), hAPP(hAPP(c_List_Oappend(_u16382), _u16381), _u16383)) = hAPP(hAPP(c_List_Oappend(_u16382), hAPP(c_List_Otl(_u16382), _u16381)), _u16383)) )).
% 19.53/19.78 cnf(matrix-6939, plain, ( ( hAPP(hAPP(c_List_Otake(_u16384), _u16385), hAPP(c_List_Otl(_u16384), _u16386)) = hAPP(c_List_Otl(_u16384), hAPP(hAPP(c_List_Otake(_u16384), hAPP(c_Nat_OSuc, _u16385)), _u16386))) )).
% 19.53/19.78 cnf(matrix-6940, plain, ( ( hAPP(c_List_Orotate(_u16387, _u16388), _u16389) = hAPP(c_List_Orotate(_u16387, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16388, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16387)), _u16389))), _u16389)) )).
% 19.53/19.78 cnf(matrix-6941, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16390), hAPP(c_Nat_OSuc, _u16391)), _u16392) = hAPP(hAPP(c_List_Odrop(_u16390), _u16391), hAPP(c_List_Otl(_u16390), _u16392))) )).
% 19.53/19.78 cnf(matrix-6942, plain, ( ( hAPP(c_List_Orotate(_u16393, hAPP(c_Nat_OSuc, _u16394)), _u16395) = hAPP(c_List_Orotate1(_u16393), hAPP(c_List_Orotate(_u16393, _u16394), _u16395))) )).
% 19.53/19.78 cnf(matrix-6943, plain, ( ( hAPP(c_List_Otl(_u16396), hAPP(hAPP(c_List_Oappend(_u16396), _u16397), _u16398)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u16396), _u16396, hAPP(c_List_Otl(_u16396), _u16398), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u16396), tc_List_Olist(_u16396)), _u16396), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16396), tc_List_Olist(_u16396), tc_List_Olist(_u16396)), c_List_Oappend(_u16396)), _u16398))), _u16397)) )).
% 19.53/19.78 cnf(matrix-6944, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16399, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16400)), _u16401)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Orotate(_u16400, _u16399), _u16401) = _u16401) )).
% 19.53/19.78 cnf(matrix-6945, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16402)), _u16403)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate(_u16402, _u16404), _u16403) = _u16403) )).
% 19.53/19.78 cnf(matrix-6946, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16405)), hAPP(c_List_Otl(_u16405), _u16406)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16405)), _u16406)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 19.53/19.78 cnf(matrix-6947, plain, ( ( hAPP(c_List_Otl(_u16407), hAPP(hAPP(c_List_Otake(_u16407), _u16408), _u16409)) = hAPP(hAPP(c_List_Otake(_u16407), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16408), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_List_Otl(_u16407), _u16409))) )).
% 19.53/19.78 cnf(matrix-6948, plain, ( ( _u16410 = c_List_Olist_ONil(_u16411)) | ( hAPP(hAPP(c_List_Otake(_u16411), hAPP(c_Nat_OSuc, _u16412)), _u16410) = hAPP(hAPP(c_List_Olist_OCons(_u16411), hAPP(c_List_Ohd(_u16411), _u16410)), hAPP(hAPP(c_List_Otake(_u16411), _u16412), hAPP(c_List_Otl(_u16411), _u16410)))) )).
% 19.53/19.78 cnf(matrix-6949, plain, ( ( hAPP(c_List_Orotate(_u16413, _u16414), _u16415) = hAPP(hAPP(c_List_Oappend(_u16413), hAPP(hAPP(c_List_Odrop(_u16413), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16414, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16413)), _u16415))), _u16415)), hAPP(hAPP(c_List_Otake(_u16413), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u16414, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16413)), _u16415))), _u16415))) )).
% 19.53/19.78 cnf(matrix-6950, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u16416) | ( _u16417 = c_List_Olist_ONil(_u16416)) | ( hAPP(c_Finite__Set_Ofold1(_u16416, c_Groups_Otimes__class_Otimes(_u16416)), hAPP(c_List_Oset(_u16416), _u16417)) = hAPP(c_List_Ofoldl(_u16416, _u16416, c_Groups_Otimes__class_Otimes(_u16416), hAPP(c_List_Ohd(_u16416), _u16417)), hAPP(c_List_Otl(_u16416), _u16417))) )).
% 19.53/19.78 cnf(matrix-6951, plain, ( ( _u16420 != hAPP(hAPP(c_List_Olist_OCons(_u16421), _u16419), _u16418)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16421), tc_List_Olist(_u16421))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16421), tc_List_Olist(_u16421)), _u16422), hAPP(hAPP(c_List_Oappend(_u16421), _u16422), _u16420))), c_List_Olexord(_u16421, _u16423))) )).
% 19.53/19.78 cnf(matrix-6952, plain, ( ( hAPP(c_List_Ofoldl(_u16424, _u16425, _u16426, _u16427), c_List_Olist_ONil(_u16425)) = _u16427) )).
% 19.53/19.78 cnf(matrix-6953, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16428), _u16429)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16428), hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16429), _u16430))) )).
% 19.53/19.78 cnf(matrix-6954, plain, ( ~class_Groups_Omonoid__add(_u16431) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16431), _u16432), hAPP(c_List_Ofoldl(_u16431, _u16431, c_Groups_Oplus__class_Oplus(_u16431), c_Groups_Ozero__class_Ozero(_u16431)), _u16433)) = hAPP(c_List_Ofoldl(_u16431, _u16431, c_Groups_Oplus__class_Oplus(_u16431), _u16432), _u16433)) )).
% 19.53/19.78 cnf(matrix-6955, plain, ( ~class_Groups_Osemigroup__add(_u16434) | ( hAPP(c_List_Ofoldl(_u16434, _u16434, c_Groups_Oplus__class_Oplus(_u16434), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16434), _u16435), _u16436)), _u16437) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16434), _u16435), hAPP(c_List_Ofoldl(_u16434, _u16434, c_Groups_Oplus__class_Oplus(_u16434), _u16436), _u16437))) )).
% 19.53/19.78 cnf(matrix-6956, plain, ( ( hAPP(c_List_Ofoldl(_u16438, _u16439, _u16440, _u16441), hAPP(hAPP(c_List_Olist_OCons(_u16439), _u16442), _u16443)) = hAPP(c_List_Ofoldl(_u16438, _u16439, _u16440, hAPP(hAPP(_u16440, _u16441), _u16442)), _u16443)) )).
% 19.53/19.78 cnf(matrix-6957, plain, ( ( hAPP(c_List_Ofoldl(_u16444, _u16445, _u16446, _u16447), hAPP(hAPP(c_List_Oappend(_u16445), _u16448), _u16449)) = hAPP(c_List_Ofoldl(_u16444, _u16445, _u16446, hAPP(c_List_Ofoldl(_u16444, _u16445, _u16446, _u16447), _u16448)), _u16449)) )).
% 19.53/19.78 cnf(matrix-6958, plain, ( ~class_Groups_Omonoid__add(_u16450) | ( c_List_Omonoid__add__class_Olistsum(_u16450) = c_List_Ofoldl(_u16450, _u16450, c_Groups_Oplus__class_Oplus(_u16450), c_Groups_Ozero__class_Ozero(_u16450))) )).
% 19.53/19.78 cnf(matrix-6959, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16455), _u16457) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16455 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.78 cnf(matrix-6960, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16455), _u16457) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16451), hAPP(c_List_Oset(tc_Nat_Onat), _u16457))) | ( _u16451 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.78 cnf(matrix-6961, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16456), _u16458) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16456 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem422(_u16458, _u16456)), hAPP(c_List_Oset(tc_Nat_Onat), _u16458))) )).
% 19.53/19.78 cnf(matrix-6962, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16456), _u16458) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16456 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem422(_u16458, _u16456) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.78 cnf(matrix-6963, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u16459, _u16460, _u16461) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u16459, _u16460, _u16461), _u16462), hAPP(c_List_Oset(_u16459), _u16463)) = hAPP(c_List_Ofoldl(_u16460, _u16459, hAPP(c_COMBC(_u16459, _u16460, _u16460), _u16461), _u16462), _u16463)) )).
% 19.53/19.78 cnf(matrix-6964, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16464) | ( c_Complete__Lattice_OSup__class_OSup(_u16464, hAPP(c_List_Oset(_u16464), _u16465)) = hAPP(c_List_Ofoldl(_u16464, _u16464, c_Lattices_Osemilattice__sup__class_Osup(_u16464), c_Orderings_Obot__class_Obot(_u16464)), _u16465)) )).
% 19.53/19.78 cnf(matrix-6965, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16466) | ( c_Complete__Lattice_OInf__class_OInf(_u16466, hAPP(c_List_Oset(_u16466), _u16467)) = hAPP(c_List_Ofoldl(_u16466, _u16466, c_Lattices_Osemilattice__inf__class_Oinf(_u16466), c_Orderings_Otop__class_Otop(_u16466)), _u16467)) )).
% 19.53/19.78 cnf(matrix-6966, plain, ( ~class_Lattices_Olattice(_u16468) | ( c_Big__Operators_Olattice__class_OSup__fin(_u16468, hAPP(c_List_Oset(_u16468), hAPP(hAPP(c_List_Olist_OCons(_u16468), _u16469), _u16470))) = hAPP(c_List_Ofoldl(_u16468, _u16468, c_Lattices_Osemilattice__sup__class_Osup(_u16468), _u16469), _u16470)) )).
% 19.53/19.78 cnf(matrix-6967, plain, ( ~class_Lattices_Olattice(_u16471) | ( c_Big__Operators_Olattice__class_OInf__fin(_u16471, hAPP(c_List_Oset(_u16471), hAPP(hAPP(c_List_Olist_OCons(_u16471), _u16472), _u16473))) = hAPP(c_List_Ofoldl(_u16471, _u16471, c_Lattices_Osemilattice__inf__class_Oinf(_u16471), _u16472), _u16473)) )).
% 19.53/19.78 cnf(matrix-6968, plain, ( ~class_Orderings_Olinorder(_u16474) | ( c_Big__Operators_Olinorder__class_OMin(_u16474, hAPP(c_List_Oset(_u16474), hAPP(hAPP(c_List_Olist_OCons(_u16474), _u16475), _u16476))) = hAPP(c_List_Ofoldl(_u16474, _u16474, c_Orderings_Oord__class_Omin(_u16474), _u16475), _u16476)) )).
% 19.53/19.78 cnf(matrix-6969, plain, ( ~class_Orderings_Olinorder(_u16477) | ( c_Big__Operators_Olinorder__class_OMax(_u16477, hAPP(c_List_Oset(_u16477), hAPP(hAPP(c_List_Olist_OCons(_u16477), _u16478), _u16479))) = hAPP(c_List_Ofoldl(_u16477, _u16477, c_Orderings_Oord__class_Omax(_u16477), _u16478), _u16479)) )).
% 19.53/19.78 cnf(matrix-6970, plain, ( ~class_Orderings_Olinorder(_u16480) | ( c_Big__Operators_Olattice_OInf__fin(_u16480, c_Orderings_Oord__class_Omin(_u16480), hAPP(c_List_Oset(_u16480), hAPP(hAPP(c_List_Olist_OCons(_u16480), _u16481), _u16482))) = hAPP(c_List_Ofoldl(_u16480, _u16480, c_Orderings_Oord__class_Omin(_u16480), _u16481), _u16482)) )).
% 19.53/19.78 cnf(matrix-6971, plain, ( ~class_Orderings_Olinorder(_u16483) | ( c_Big__Operators_Olattice_OSup__fin(_u16483, c_Orderings_Oord__class_Omax(_u16483), hAPP(c_List_Oset(_u16483), hAPP(hAPP(c_List_Olist_OCons(_u16483), _u16484), _u16485))) = hAPP(c_List_Ofoldl(_u16483, _u16483, c_Orderings_Oord__class_Omax(_u16483), _u16484), _u16485)) )).
% 19.53/19.78 cnf(matrix-6972, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16486) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u16487, _u16486), hAPP(c_List_Oset(_u16487), _u16488)), _u16489) = hAPP(c_List_Ofoldl(_u16486, _u16487, hAPP(c_COMBC(_u16487, _u16486, _u16486), hAPP(hAPP(c_COMBB(_u16486, tc_fun(_u16486, _u16486), _u16487), c_Lattices_Osemilattice__sup__class_Osup(_u16486)), _u16489)), c_Orderings_Obot__class_Obot(_u16486)), _u16488)) )).
% 19.53/19.78 cnf(matrix-6973, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u16490) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u16491, _u16490), hAPP(c_List_Oset(_u16491), _u16492)), _u16493) = hAPP(c_List_Ofoldl(_u16490, _u16491, hAPP(c_COMBC(_u16491, _u16490, _u16490), hAPP(hAPP(c_COMBB(_u16490, tc_fun(_u16490, _u16490), _u16491), c_Lattices_Osemilattice__inf__class_Oinf(_u16490)), _u16493)), c_Orderings_Otop__class_Otop(_u16490)), _u16492)) )).
% 19.53/19.78 cnf(matrix-6974, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16494), hAPP(c_List_Oset(tc_Nat_Onat), _u16495))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16494), hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16495))) )).
% 19.53/19.78 cnf(matrix-6975, plain, ( ~class_Orderings_Olinorder(_u16496) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16496), _u16497)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u16496, hAPP(hAPP(c_Set_Oinsert(_u16496), _u16498), _u16497)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16496, _u16496, c_COMBI(_u16496)), _u16498), c_List_Olinorder__class_Osorted__list__of__set(_u16496, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16496, tc_HOL_Obool)), _u16497), hAPP(hAPP(c_Set_Oinsert(_u16496), _u16498), c_Orderings_Obot__class_Obot(tc_fun(_u16496, tc_HOL_Obool))))))) )).
% 19.53/19.78 cnf(matrix-6976, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16506), tc_List_Olist(_u16506))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16506), tc_List_Olist(_u16506)), c_List_Olist_ONil(_u16506)), _u16508)), c_List_Olexord(_u16506, _u16510))) | ( _u16508 = hAPP(hAPP(c_List_Olist_OCons(_u16506), skolem423(_u16510, _u16508, _u16506)), skolem424(_u16510, _u16508, _u16506))) )).
% 19.53/19.78 cnf(matrix-6977, plain, ( ( _u16509 != hAPP(hAPP(c_List_Olist_OCons(_u16507), _u16502), _u16501)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16507), tc_List_Olist(_u16507))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16507), tc_List_Olist(_u16507)), c_List_Olist_ONil(_u16507)), _u16509)), c_List_Olexord(_u16507, _u16511))) )).
% 19.53/19.78 cnf(matrix-6978, plain, ( ~class_Orderings_Olinorder(_u16512) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16513, _u16512, _u16514), _u16515), c_List_Olist_ONil(_u16513)) = hAPP(hAPP(c_List_Olist_OCons(_u16513), _u16515), c_List_Olist_ONil(_u16513))) )).
% 19.53/19.78 cnf(matrix-6979, plain, ( ~class_Orderings_Olinorder(_u16516) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16516), hAPP(_u16517, _u16518)), hAPP(_u16517, _u16519))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16520, _u16516, _u16517), _u16518), hAPP(hAPP(c_List_Olist_OCons(_u16520), _u16519), _u16521)) = hAPP(hAPP(c_List_Olist_OCons(_u16520), _u16518), hAPP(hAPP(c_List_Olist_OCons(_u16520), _u16519), _u16521))) )).
% 19.53/19.78 cnf(matrix-6980, plain, ( ~class_Orderings_Olinorder(_u16516) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16516), hAPP(_u16517, _u16518)), hAPP(_u16517, _u16519))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16520, _u16516, _u16517), _u16518), hAPP(hAPP(c_List_Olist_OCons(_u16520), _u16519), _u16521)) = hAPP(hAPP(c_List_Olist_OCons(_u16520), _u16519), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16520, _u16516, _u16517), _u16518), _u16521))) )).
% 19.53/19.78 cnf(matrix-6981, plain, ( ~class_Orderings_Olinorder(_u16522) | ( hAPP(c_List_Oset(_u16523), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16523, _u16522, _u16524), _u16525), _u16526)) = hAPP(hAPP(c_Set_Oinsert(_u16523), _u16525), hAPP(c_List_Oset(_u16523), _u16526))) )).
% 19.53/19.78 cnf(matrix-6982, plain, ( ~class_Orderings_Olinorder(_u16527) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16528)), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16528, _u16527, _u16529), _u16530), _u16531)) = hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16528)), _u16531))) )).
% 19.53/19.78 cnf(matrix-6983, plain, ( ~class_Orderings_Olinorder(_u16532) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16532, _u16532, c_COMBI(_u16532)), _u16533), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16532, _u16532, c_COMBI(_u16532)), _u16534), _u16535)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16532, _u16532, c_COMBI(_u16532)), _u16534), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16532, _u16532, c_COMBI(_u16532)), _u16533), _u16535))) )).
% 19.53/19.78 cnf(matrix-6984, plain, ( ~class_Orderings_Olinorder(_u16536) | c_Finite__Set_Ofun__left__comm(_u16536, tc_List_Olist(_u16536), c_List_Olinorder__class_Oinsort__key(_u16536, _u16536, c_COMBI(_u16536))) )).
% 19.53/19.78 cnf(matrix-6985, plain, ( ~class_Orderings_Olinorder(_u16537) | ( hAPP(_u16538, _u16539) = hAPP(_u16538, _u16540)) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16541, _u16537, _u16538), _u16540), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16541, _u16537, _u16538), _u16539), _u16542)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16541, _u16537, _u16538), _u16539), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16541, _u16537, _u16538), _u16540), _u16542))) )).
% 19.53/19.78 cnf(matrix-6986, plain, ( ~class_Orderings_Olinorder(_u16543) | ( c_List_Oremove1(_u16543, _u16544, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16543, _u16543, c_COMBI(_u16543)), _u16544), _u16545)) = _u16545) )).
% 19.53/19.78 cnf(matrix-6987, plain, ( ~class_Orderings_Olinorder(_u16546) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16547, _u16546, _u16548), _u16549), _u16550) != c_List_Olist_ONil(_u16547)) )).
% 19.53/19.78 cnf(matrix-6988, plain, ( ~class_Orderings_Olinorder(_u16551) | ~hBOOL(hAPP(c_List_Odistinct(_u16552), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16552, _u16551, _u16553), _u16554), _u16555))) | ~hBOOL(hAPP(hAPP(c_member(_u16552), _u16554), hAPP(c_List_Oset(_u16552), _u16555))) )).
% 19.53/19.78 cnf(matrix-6989, plain, ( ~class_Orderings_Olinorder(_u16551) | ~hBOOL(hAPP(c_List_Odistinct(_u16552), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16552, _u16551, _u16553), _u16554), _u16555))) | hBOOL(hAPP(c_List_Odistinct(_u16552), _u16555)) )).
% 19.53/19.78 cnf(matrix-6990, plain, ( ~class_Orderings_Olinorder(_u16551) | hBOOL(hAPP(hAPP(c_member(_u16552), _u16554), hAPP(c_List_Oset(_u16552), _u16555))) | ~hBOOL(hAPP(c_List_Odistinct(_u16552), _u16555)) | hBOOL(hAPP(c_List_Odistinct(_u16552), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16552, _u16551, _u16553), _u16554), _u16555))) )).
% 19.53/19.78 cnf(matrix-6991, plain, ( ~class_Orderings_Olinorder(_u16556) | hBOOL(hAPP(hAPP(c_member(_u16556), hAPP(_u16557, _u16558)), hAPP(c_Set_Oimage(_u16559, _u16556, _u16557), hAPP(c_List_Oset(_u16559), _u16560)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16559, _u16556, _u16557, _u16558, _u16560) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16559, _u16556, _u16557), _u16558), _u16560)) )).
% 19.53/19.78 cnf(matrix-6992, plain, ( ~class_Orderings_Olinorder(_u16561) | hBOOL(hAPP(hAPP(c_member(_u16561), _u16562), hAPP(c_List_Oset(_u16561), _u16563))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16561, _u16561, c_COMBI(_u16561), _u16562, _u16563) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u16561, _u16561, c_COMBI(_u16561)), _u16562), _u16563)) )).
% 19.53/19.78 cnf(matrix-6993, plain, ( ~class_Orderings_Olinorder(_u16564) | ~hBOOL(hAPP(c_List_Odistinct(_u16565), _u16566)) | hBOOL(hAPP(c_List_Odistinct(_u16565), c_List_Olinorder__class_Oinsort__insert__key(_u16565, _u16564, _u16567, _u16568, _u16566))) )).
% 19.53/19.78 cnf(matrix-6994, plain, ( ~class_Orderings_Olinorder(_u16569) | ~hBOOL(hAPP(hAPP(c_member(_u16569), _u16570), hAPP(c_List_Oset(_u16569), _u16571))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16569, _u16569, c_COMBI(_u16569), _u16570, _u16571) = _u16571) )).
% 19.53/19.78 cnf(matrix-6995, plain, ( ~class_Orderings_Olinorder(_u16572) | ( hAPP(c_List_Oset(_u16572), c_List_Olinorder__class_Oinsort__insert__key(_u16572, _u16572, c_COMBI(_u16572), _u16573, _u16574)) = hAPP(hAPP(c_Set_Oinsert(_u16572), _u16573), hAPP(c_List_Oset(_u16572), _u16574))) )).
% 19.53/19.78 cnf(matrix-6996, plain, ( ~class_Orderings_Olinorder(_u16575) | ~hBOOL(hAPP(hAPP(c_member(_u16575), hAPP(_u16576, _u16577)), hAPP(c_Set_Oimage(_u16578, _u16575, _u16576), hAPP(c_List_Oset(_u16578), _u16579)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u16578, _u16575, _u16576, _u16577, _u16579) = _u16579) )).
% 19.53/19.78 cnf(matrix-6997, plain, ( ( _u16580 = c_List_Olist_ONil(_u16581)) | ( _u16582 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16581)), _u16580)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u16581, hAPP(hAPP(c_List_Olist__update(_u16581, _u16580), _u16582), _u16583)) = _u16583) )).
% 19.53/19.78 cnf(matrix-6998, plain, ( ( _u16580 = c_List_Olist_ONil(_u16581)) | ( _u16582 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16581)), _u16580)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u16581, hAPP(hAPP(c_List_Olist__update(_u16581, _u16580), _u16582), _u16583)) = c_List_Olast(_u16581, _u16580)) )).
% 19.53/19.78 cnf(matrix-6999, plain, ( ( _u16584 = c_List_Olist_ONil(_u16585)) | ( c_List_Olast(_u16585, _u16584) = hAPP(hAPP(c_List_Onth(_u16585), _u16584), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16585)), _u16584)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 19.53/19.78 cnf(matrix-7000, plain, ( ( _u16586 != c_List_Olist_ONil(_u16587)) | ( c_List_Olast(_u16587, hAPP(hAPP(c_List_Olist_OCons(_u16587), _u16588), _u16586)) = _u16588) )).
% 19.53/19.78 cnf(matrix-7001, plain, ( ( _u16589 = c_List_Olist_ONil(_u16590)) | ( c_List_Olast(_u16590, hAPP(hAPP(c_List_Olist_OCons(_u16590), _u16591), _u16589)) = c_List_Olast(_u16590, _u16589)) )).
% 19.53/19.78 cnf(matrix-7002, plain, ( ( _u16595 != c_List_Olist_ONil(_u16597)) | ( c_List_Olast(_u16597, hAPP(hAPP(c_List_Olist_OCons(_u16597), _u16599), _u16595)) = _u16599) )).
% 19.53/19.78 cnf(matrix-7003, plain, ( ( _u16596 = c_List_Olist_ONil(_u16598)) | ( c_List_Olast(_u16598, hAPP(hAPP(c_List_Olist_OCons(_u16598), _u16600), _u16596)) = c_List_Olast(_u16598, _u16596)) )).
% 19.53/19.78 cnf(matrix-7004, plain, ( ( _u16601 != c_List_Olist_ONil(_u16602)) | ( c_List_Olast(_u16602, hAPP(hAPP(c_List_Oappend(_u16602), _u16603), _u16601)) = c_List_Olast(_u16602, _u16603)) )).
% 19.53/19.78 cnf(matrix-7005, plain, ( ( _u16604 = c_List_Olist_ONil(_u16605)) | ( c_List_Olast(_u16605, hAPP(hAPP(c_List_Oappend(_u16605), _u16606), _u16604)) = c_List_Olast(_u16605, _u16604)) )).
% 19.53/19.78 cnf(matrix-7006, plain, ( ( _u16610 != c_List_Olist_ONil(_u16612)) | ( c_List_Olast(_u16612, hAPP(hAPP(c_List_Oappend(_u16612), _u16614), _u16610)) = c_List_Olast(_u16612, _u16614)) )).
% 19.53/19.78 cnf(matrix-7007, plain, ( ( _u16611 = c_List_Olist_ONil(_u16613)) | ( c_List_Olast(_u16613, hAPP(hAPP(c_List_Oappend(_u16613), _u16615), _u16611)) = c_List_Olast(_u16613, _u16611)) )).
% 19.53/19.78 cnf(matrix-7008, plain, ( ( _u16616 = c_List_Olist_ONil(_u16617)) | hBOOL(hAPP(hAPP(c_member(_u16617), c_List_Olast(_u16617, _u16616)), hAPP(c_List_Oset(_u16617), _u16616))) )).
% 19.53/19.78 cnf(matrix-7009, plain, ( ( c_List_Olast(_u16618, hAPP(hAPP(c_List_Oappend(_u16618), _u16619), hAPP(hAPP(c_List_Olist_OCons(_u16618), _u16620), c_List_Olist_ONil(_u16618)))) = _u16620) )).
% 19.53/19.78 cnf(matrix-7010, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16621), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16622)), _u16623))) | ( c_List_Olast(_u16622, hAPP(hAPP(c_List_Odrop(_u16622), _u16621), _u16623)) = c_List_Olast(_u16622, _u16623)) )).
% 19.53/19.78 cnf(matrix-7011, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16628), _u16630), hAPP(hAPP(c_List_Olist_OCons(_u16628), _u16632), c_List_Olist_ONil(_u16628))) != _u16634) | ( _u16634 != c_List_Olist_ONil(_u16628)) )).
% 19.53/19.78 cnf(matrix-7012, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16628), _u16630), hAPP(hAPP(c_List_Olist_OCons(_u16628), _u16632), c_List_Olist_ONil(_u16628))) != _u16634) | ( c_List_Obutlast(_u16628, _u16634) = _u16630) )).
% 19.53/19.78 cnf(matrix-7013, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16628), _u16630), hAPP(hAPP(c_List_Olist_OCons(_u16628), _u16632), c_List_Olist_ONil(_u16628))) != _u16634) | ( c_List_Olast(_u16628, _u16634) = _u16632) )).
% 19.53/19.78 cnf(matrix-7014, plain, ( ( _u16635 = c_List_Olist_ONil(_u16629)) | ( c_List_Obutlast(_u16629, _u16635) != _u16631) | ( c_List_Olast(_u16629, _u16635) != _u16633) | ( hAPP(hAPP(c_List_Oappend(_u16629), _u16631), hAPP(hAPP(c_List_Olist_OCons(_u16629), _u16633), c_List_Olist_ONil(_u16629))) = _u16635) )).
% 19.53/19.78 cnf(matrix-7015, plain, ( ( _u16636 = c_List_Olist_ONil(_u16637)) | ( hAPP(hAPP(c_List_Oappend(_u16637), c_List_Obutlast(_u16637, _u16636)), hAPP(hAPP(c_List_Olist_OCons(_u16637), c_List_Olast(_u16637, _u16636)), c_List_Olist_ONil(_u16637))) = _u16636) )).
% 19.53/19.78 cnf(matrix-7016, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16645)), _u16647), c_List_Olists(_u16645, _u16649))) | ( _u16647 = c_List_Olist_ONil(_u16645)) | hBOOL(hAPP(hAPP(c_member(_u16645), skolem425(_u16649, _u16647, _u16645)), _u16649)) )).
% 19.53/19.78 cnf(matrix-7017, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16645)), _u16647), c_List_Olists(_u16645, _u16649))) | ( _u16647 = c_List_Olist_ONil(_u16645)) | ( _u16647 = hAPP(hAPP(c_List_Olist_OCons(_u16645), skolem425(_u16649, _u16647, _u16645)), skolem426(_u16649, _u16647, _u16645))) )).
% 19.53/19.78 cnf(matrix-7018, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16645)), _u16647), c_List_Olists(_u16645, _u16649))) | ( _u16647 = c_List_Olist_ONil(_u16645)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16645)), skolem426(_u16649, _u16647, _u16645)), c_List_Olists(_u16645, _u16649))) )).
% 19.53/19.78 cnf(matrix-7019, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16646)), _u16648), c_List_Olists(_u16646, _u16650))) | ( _u16648 != c_List_Olist_ONil(_u16646)) )).
% 19.53/19.78 cnf(matrix-7020, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16646)), _u16648), c_List_Olists(_u16646, _u16650))) | ~hBOOL(hAPP(hAPP(c_member(_u16646), _u16641), _u16650)) | ( _u16648 != hAPP(hAPP(c_List_Olist_OCons(_u16646), _u16641), _u16640)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16646)), _u16640), c_List_Olists(_u16646, _u16650))) )).
% 19.53/19.78 cnf(matrix-7021, plain, ( ( _u16651 = c_List_Olist_ONil(_u16652)) | ( c_Random_Oselect__weight(_u16652, hAPP(hAPP(c_List_Omap(_u16652, tc_prod(tc_Code__Numeral_Ocode__numeral, _u16652)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u16652), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u16651)) = c_Random_Oselect(_u16652, _u16651)) )).
% 19.53/19.78 cnf(matrix-7022, plain, ( ~c_Fun_Oinj__on(_u16653, _u16654, _u16655, c_Orderings_Otop__class_Otop(tc_fun(_u16653, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u16653), tc_List_Olist(_u16654), hAPP(c_List_Omap(_u16653, _u16654), _u16655), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u16653), tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-7023, plain, ( ( _u16656 = c_List_Olist_ONil(_u16657)) | ( c_List_Olast(_u16658, hAPP(hAPP(c_List_Omap(_u16657, _u16658), _u16659), _u16656)) = hAPP(_u16659, c_List_Olast(_u16657, _u16656))) )).
% 19.53/19.78 cnf(matrix-7024, plain, ( ( hAPP(c_List_Omap(_u16660, _u16660), c_Fun_Oid(_u16660)) = c_Fun_Oid(tc_List_Olist(_u16660))) )).
% 19.53/19.78 cnf(matrix-7025, plain, ( ( hAPP(c_List_Ofoldl(_u16661, _u16662, _u16663, _u16664), hAPP(hAPP(c_List_Omap(_u16665, _u16662), _u16666), _u16667)) = hAPP(c_List_Ofoldl(_u16661, _u16665, hAPP(hAPP(c_COMBC(_u16661, tc_fun(_u16665, _u16662), tc_fun(_u16665, _u16661)), hAPP(hAPP(c_COMBB(tc_fun(_u16662, _u16661), tc_fun(tc_fun(_u16665, _u16662), tc_fun(_u16665, _u16661)), _u16661), c_COMBB(_u16662, _u16661, _u16665)), _u16663)), _u16666), _u16664), _u16667)) )).
% 19.53/19.78 cnf(matrix-7026, plain, ( ( hAPP(hAPP(c_List_Omap(_u16668, _u16669), _u16670), hAPP(c_List_Otl(_u16668), _u16671)) = hAPP(c_List_Otl(_u16669), hAPP(hAPP(c_List_Omap(_u16668, _u16669), _u16670), _u16671))) )).
% 19.53/19.78 cnf(matrix-7027, plain, ( ( hAPP(c_List_Orotate(_u16672, _u16673), hAPP(hAPP(c_List_Omap(_u16674, _u16672), _u16675), _u16676)) = hAPP(hAPP(c_List_Omap(_u16674, _u16672), _u16675), hAPP(c_List_Orotate(_u16674, _u16673), _u16676))) )).
% 19.53/19.78 cnf(matrix-7028, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16677, _u16678), _u16679), hAPP(hAPP(c_List_Omap(_u16680, _u16678), _u16681), _u16682)) = hAPP(hAPP(c_List_Omap(tc_prod(_u16677, _u16680), tc_prod(_u16677, _u16678)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16677, _u16680, tc_prod(_u16677, _u16678)), hAPP(hAPP(c_COMBC(_u16677, tc_fun(_u16680, _u16678), tc_fun(_u16680, tc_prod(_u16677, _u16678))), hAPP(hAPP(c_COMBB(tc_fun(_u16678, tc_prod(_u16677, _u16678)), tc_fun(tc_fun(_u16680, _u16678), tc_fun(_u16680, tc_prod(_u16677, _u16678))), _u16677), c_COMBB(_u16678, tc_prod(_u16677, _u16678), _u16680)), c_Product__Type_OPair(_u16677, _u16678))), _u16681))), hAPP(hAPP(c_List_Ozip(_u16677, _u16680), _u16679), _u16682))) )).
% 19.53/19.78 cnf(matrix-7029, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u16683, _u16684), _u16685), _u16686), hAPP(hAPP(c_List_Ozip(_u16683, _u16684), _u16687), hAPP(hAPP(c_List_Omap(_u16688, _u16684), _u16689), _u16690))) = hAPP(hAPP(c_List_Omap(tc_prod(_u16683, _u16688), _u16685), hAPP(c_Product__Type_Oprod_Oprod__case(_u16683, _u16688, _u16685), hAPP(hAPP(c_COMBB(tc_fun(_u16688, tc_prod(_u16683, _u16684)), tc_fun(_u16688, _u16685), _u16683), hAPP(c_COMBB(tc_prod(_u16683, _u16684), _u16685, _u16688), _u16686)), hAPP(hAPP(c_COMBC(_u16683, tc_fun(_u16688, _u16684), tc_fun(_u16688, tc_prod(_u16683, _u16684))), hAPP(hAPP(c_COMBB(tc_fun(_u16684, tc_prod(_u16683, _u16684)), tc_fun(tc_fun(_u16688, _u16684), tc_fun(_u16688, tc_prod(_u16683, _u16684))), _u16683), c_COMBB(_u16684, tc_prod(_u16683, _u16684), _u16688)), c_Product__Type_OPair(_u16683, _u16684))), _u16689)))), hAPP(hAPP(c_List_Ozip(_u16683, _u16688), _u16687), _u16690))) )).
% 19.53/19.78 cnf(matrix-7030, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u16691, _u16692), _u16693), _u16694), hAPP(hAPP(c_List_Ozip(_u16691, _u16692), hAPP(hAPP(c_List_Omap(_u16695, _u16691), _u16696), _u16697)), _u16698)) = hAPP(hAPP(c_List_Omap(tc_prod(_u16695, _u16692), _u16693), hAPP(c_Product__Type_Oprod_Oprod__case(_u16695, _u16692, _u16693), hAPP(hAPP(c_COMBB(tc_fun(_u16692, tc_prod(_u16691, _u16692)), tc_fun(_u16692, _u16693), _u16695), hAPP(c_COMBB(tc_prod(_u16691, _u16692), _u16693, _u16692), _u16694)), hAPP(hAPP(c_COMBB(_u16691, tc_fun(_u16692, tc_prod(_u16691, _u16692)), _u16695), c_Product__Type_OPair(_u16691, _u16692)), _u16696)))), hAPP(hAPP(c_List_Ozip(_u16695, _u16692), _u16697), _u16698))) )).
% 19.53/19.78 cnf(matrix-7031, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16699, _u16700), hAPP(hAPP(c_List_Omap(_u16701, _u16699), _u16702), _u16703)), _u16704) = hAPP(hAPP(c_List_Omap(tc_prod(_u16701, _u16700), tc_prod(_u16699, _u16700)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16701, _u16700, tc_prod(_u16699, _u16700)), hAPP(hAPP(c_COMBB(_u16699, tc_fun(_u16700, tc_prod(_u16699, _u16700)), _u16701), c_Product__Type_OPair(_u16699, _u16700)), _u16702))), hAPP(hAPP(c_List_Ozip(_u16701, _u16700), _u16703), _u16704))) )).
% 19.53/19.78 cnf(matrix-7032, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16705, _u16706), hAPP(hAPP(c_List_Omap(_u16707, _u16705), _u16708), _u16709)), hAPP(hAPP(c_List_Omap(_u16710, _u16706), _u16711), _u16712)) = hAPP(hAPP(c_List_Omap(tc_prod(_u16707, _u16710), tc_prod(_u16705, _u16706)), hAPP(c_Product__Type_Oprod_Oprod__case(_u16707, _u16710, tc_prod(_u16705, _u16706)), hAPP(hAPP(c_COMBC(_u16707, tc_fun(_u16710, _u16706), tc_fun(_u16710, tc_prod(_u16705, _u16706))), hAPP(hAPP(c_COMBB(tc_fun(_u16706, tc_prod(_u16705, _u16706)), tc_fun(tc_fun(_u16710, _u16706), tc_fun(_u16710, tc_prod(_u16705, _u16706))), _u16707), c_COMBB(_u16706, tc_prod(_u16705, _u16706), _u16710)), hAPP(hAPP(c_COMBB(_u16705, tc_fun(_u16706, tc_prod(_u16705, _u16706)), _u16707), c_Product__Type_OPair(_u16705, _u16706)), _u16708))), _u16711))), hAPP(hAPP(c_List_Ozip(_u16707, _u16710), _u16709), _u16712))) )).
% 19.53/19.78 cnf(matrix-7033, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16713, _u16713), _u16714), _u16714) = hAPP(hAPP(c_List_Omap(_u16713, tc_prod(_u16713, _u16713)), hAPP(hAPP(c_COMBS(_u16713, _u16713, tc_prod(_u16713, _u16713)), c_Product__Type_OPair(_u16713, _u16713)), c_COMBI(_u16713))), _u16714)) )).
% 19.53/19.78 cnf(matrix-7034, plain, ( ( _u16725 = c_List_Olist_ONil(_u16721)) | ( c_List_Olist_ONil(_u16719) != hAPP(hAPP(c_List_Omap(_u16721, _u16719), _u16723), _u16725)) )).
% 19.53/19.78 cnf(matrix-7035, plain, ( ( _u16726 != c_List_Olist_ONil(_u16722)) | ( c_List_Olist_ONil(_u16720) = hAPP(hAPP(c_List_Omap(_u16722, _u16720), _u16724), _u16726)) )).
% 19.53/19.78 cnf(matrix-7036, plain, ( ( hAPP(hAPP(c_List_Omap(_u16727, _u16728), _u16729), c_List_Olist_ONil(_u16727)) = c_List_Olist_ONil(_u16728)) )).
% 19.53/19.78 cnf(matrix-7037, plain, ( ( hAPP(hAPP(c_List_Omap(_u16734, _u16736), _u16738), _u16740) != c_List_Olist_ONil(_u16736)) | ( _u16740 = c_List_Olist_ONil(_u16734)) )).
% 19.53/19.78 cnf(matrix-7038, plain, ( ( _u16741 != c_List_Olist_ONil(_u16735)) | ( hAPP(hAPP(c_List_Omap(_u16735, _u16737), _u16739), _u16741) = c_List_Olist_ONil(_u16737)) )).
% 19.53/19.78 cnf(matrix-7039, plain, ( ( hAPP(hAPP(c_List_Omap(_u16742, _u16743), _u16744), hAPP(hAPP(c_List_Olist__update(_u16742, _u16745), _u16746), _u16747)) = hAPP(hAPP(c_List_Olist__update(_u16743, hAPP(hAPP(c_List_Omap(_u16742, _u16743), _u16744), _u16745)), _u16746), hAPP(_u16744, _u16747))) )).
% 19.53/19.78 cnf(matrix-7040, plain, ( ( hAPP(hAPP(c_List_Omap(_u16755, _u16757), _u16759), _u16761) != hAPP(hAPP(c_List_Omap(_u16755, _u16757), _u16763), _u16761)) | ~hBOOL(hAPP(hAPP(c_member(_u16755), _u16748), hAPP(c_List_Oset(_u16755), _u16761))) | ( hAPP(_u16759, _u16748) = hAPP(_u16763, _u16748)) )).
% 19.53/19.78 cnf(matrix-7041, plain, ( ( hAPP(hAPP(c_List_Omap(_u16756, _u16758), _u16760), _u16762) = hAPP(hAPP(c_List_Omap(_u16756, _u16758), _u16764), _u16762)) | hBOOL(hAPP(hAPP(c_member(_u16756), skolem427(_u16764, _u16762, _u16760, _u16758, _u16756)), hAPP(c_List_Oset(_u16756), _u16762))) )).
% 19.53/19.78 cnf(matrix-7042, plain, ( ( hAPP(hAPP(c_List_Omap(_u16756, _u16758), _u16760), _u16762) = hAPP(hAPP(c_List_Omap(_u16756, _u16758), _u16764), _u16762)) | ( hAPP(_u16760, skolem427(_u16764, _u16762, _u16760, _u16758, _u16756)) != hAPP(_u16764, skolem427(_u16764, _u16762, _u16760, _u16758, _u16756))) )).
% 19.53/19.78 cnf(matrix-7043, plain, ( ( hAPP(hAPP(c_List_Omap(_u16765, _u16766), _u16767), _u16768) != hAPP(hAPP(c_List_Omap(_u16769, _u16766), _u16770), _u16771)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16765)), _u16768) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16769)), _u16771)) )).
% 19.53/19.78 cnf(matrix-7044, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16772)), hAPP(hAPP(c_List_Omap(_u16773, _u16772), _u16774), _u16775)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16773)), _u16775)) )).
% 19.53/19.78 cnf(matrix-7045, plain, ( ~class_Groups_Ocomm__monoid__add(_u16776) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16776), hAPP(hAPP(c_List_Omap(_u16777, _u16776), hAPP(hAPP(c_COMBS(_u16777, _u16776, _u16776), hAPP(hAPP(c_COMBB(_u16776, tc_fun(_u16776, _u16776), _u16777), c_Groups_Oplus__class_Oplus(_u16776)), _u16778)), _u16779)), _u16780)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16776), hAPP(c_List_Omonoid__add__class_Olistsum(_u16776), hAPP(hAPP(c_List_Omap(_u16777, _u16776), _u16778), _u16780))), hAPP(c_List_Omonoid__add__class_Olistsum(_u16776), hAPP(hAPP(c_List_Omap(_u16777, _u16776), _u16779), _u16780)))) )).
% 19.53/19.78 cnf(matrix-7046, plain, ( ~class_Groups_Omonoid__add(_u16781) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16781), hAPP(hAPP(c_List_Omap(_u16782, _u16781), hAPP(c_COMBK(_u16781, _u16782), c_Groups_Ozero__class_Ozero(_u16781))), _u16783)) = c_Groups_Ozero__class_Ozero(_u16781)) )).
% 19.53/19.78 cnf(matrix-7047, plain, ( ~class_Rings_Osemiring__0(_u16784) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16784), hAPP(hAPP(c_List_Omap(_u16785, _u16784), hAPP(hAPP(c_COMBB(_u16784, _u16784, _u16785), hAPP(c_Groups_Otimes__class_Otimes(_u16784), _u16786)), _u16787)), _u16788)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u16784), _u16786), hAPP(c_List_Omonoid__add__class_Olistsum(_u16784), hAPP(hAPP(c_List_Omap(_u16785, _u16784), _u16787), _u16788)))) )).
% 19.53/19.78 cnf(matrix-7048, plain, ( ~class_Rings_Osemiring__0(_u16789) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16789), hAPP(hAPP(c_List_Omap(_u16790, _u16789), hAPP(hAPP(c_COMBC(_u16790, _u16789, _u16789), hAPP(hAPP(c_COMBB(_u16789, tc_fun(_u16789, _u16789), _u16790), c_Groups_Otimes__class_Otimes(_u16789)), _u16791)), _u16792)), _u16793)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u16789), hAPP(c_List_Omonoid__add__class_Olistsum(_u16789), hAPP(hAPP(c_List_Omap(_u16790, _u16789), _u16791), _u16793))), _u16792)) )).
% 19.53/19.78 cnf(matrix-7049, plain, ( ~class_Groups_Oab__group__add(_u16794) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16794), hAPP(hAPP(c_List_Omap(_u16795, _u16794), hAPP(hAPP(c_COMBS(_u16795, _u16794, _u16794), hAPP(hAPP(c_COMBB(_u16794, tc_fun(_u16794, _u16794), _u16795), c_Groups_Ominus__class_Ominus(_u16794)), _u16796)), _u16797)), _u16798)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u16794), hAPP(c_List_Omonoid__add__class_Olistsum(_u16794), hAPP(hAPP(c_List_Omap(_u16795, _u16794), _u16796), _u16798))), hAPP(c_List_Omonoid__add__class_Olistsum(_u16794), hAPP(hAPP(c_List_Omap(_u16795, _u16794), _u16797), _u16798)))) )).
% 19.53/19.78 cnf(matrix-7050, plain, ( ~c_Fun_Oinj__on(_u16799, _u16800, _u16801, c_Orderings_Otop__class_Otop(tc_fun(_u16799, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u16799, _u16800), _u16801), _u16802) != hAPP(hAPP(c_List_Omap(_u16799, _u16800), _u16801), _u16803)) | ( _u16802 = _u16803) )).
% 19.53/19.78 cnf(matrix-7051, plain, ( ~c_Fun_Oinj__on(_u16799, _u16800, _u16801, c_Orderings_Otop__class_Otop(tc_fun(_u16799, tc_HOL_Obool))) | ( _u16802 != _u16803) | ( hAPP(hAPP(c_List_Omap(_u16799, _u16800), _u16801), _u16802) = hAPP(hAPP(c_List_Omap(_u16799, _u16800), _u16801), _u16803)) )).
% 19.53/19.78 cnf(matrix-7052, plain, ( ( hAPP(hAPP(c_List_Omap(_u16804, _u16805), _u16806), _u16807) != hAPP(hAPP(c_List_Omap(_u16804, _u16805), _u16806), _u16808)) | ~c_Fun_Oinj__on(_u16804, _u16805, _u16806, c_Orderings_Otop__class_Otop(tc_fun(_u16804, tc_HOL_Obool))) | ( _u16807 = _u16808) )).
% 19.53/19.78 cnf(matrix-7053, plain, ( ( hAPP(hAPP(c_List_Omap(_u16809, _u16809), c_COMBI(_u16809)), _u16810) = _u16810) )).
% 19.53/19.78 cnf(matrix-7054, plain, ( ( hAPP(hAPP(c_List_Otake(_u16811), _u16812), hAPP(hAPP(c_List_Omap(_u16813, _u16811), _u16814), _u16815)) = hAPP(hAPP(c_List_Omap(_u16813, _u16811), _u16814), hAPP(hAPP(c_List_Otake(_u16813), _u16812), _u16815))) )).
% 19.53/19.78 cnf(matrix-7055, plain, ( ( hAPP(hAPP(c_List_Omap(_u16816, _u16817), _u16818), c_List_Obutlast(_u16816, _u16819)) = c_List_Obutlast(_u16817, hAPP(hAPP(c_List_Omap(_u16816, _u16817), _u16818), _u16819))) )).
% 19.53/19.78 cnf(matrix-7056, plain, ( ( hAPP(c_List_Oset(_u16820), hAPP(hAPP(c_List_Omap(_u16821, _u16820), _u16822), _u16823)) = hAPP(c_Set_Oimage(_u16821, _u16820, _u16822), hAPP(c_List_Oset(_u16821), _u16823))) )).
% 19.53/19.78 cnf(matrix-7057, plain, ( ( hAPP(hAPP(c_List_Omap(_u16824, _u16825), _u16826), hAPP(hAPP(c_List_Olist_OCons(_u16824), _u16827), _u16828)) = hAPP(hAPP(c_List_Olist_OCons(_u16825), hAPP(_u16826, _u16827)), hAPP(hAPP(c_List_Omap(_u16824, _u16825), _u16826), _u16828))) )).
% 19.53/19.78 cnf(matrix-7058, plain, ( ( hAPP(hAPP(c_List_Omap(_u16829, _u16830), _u16831), hAPP(hAPP(c_List_Oappend(_u16829), _u16832), _u16833)) = hAPP(hAPP(c_List_Oappend(_u16830), hAPP(hAPP(c_List_Omap(_u16829, _u16830), _u16831), _u16832)), hAPP(hAPP(c_List_Omap(_u16829, _u16830), _u16831), _u16833))) )).
% 19.53/19.78 cnf(matrix-7059, plain, ( ( _u16834 = c_List_Olist_ONil(_u16835)) | ( hAPP(c_List_Ohd(_u16836), hAPP(hAPP(c_List_Omap(_u16835, _u16836), _u16837), _u16834)) = hAPP(_u16837, hAPP(c_List_Ohd(_u16835), _u16834))) )).
% 19.53/19.78 cnf(matrix-7060, plain, ( ( hAPP(hAPP(c_List_Odrop(_u16838), _u16839), hAPP(hAPP(c_List_Omap(_u16840, _u16838), _u16841), _u16842)) = hAPP(hAPP(c_List_Omap(_u16840, _u16838), _u16841), hAPP(hAPP(c_List_Odrop(_u16840), _u16839), _u16842))) )).
% 19.53/19.78 cnf(matrix-7061, plain, ( ( hAPP(c_List_Omap(_u16843, _u16843), c_COMBI(_u16843)) = c_Fun_Oid(tc_List_Olist(_u16843))) )).
% 19.53/19.78 cnf(matrix-7062, plain, ( ( hAPP(hAPP(c_List_Omap(_u16844, _u16845), _u16846), hAPP(hAPP(c_List_Omap(_u16847, _u16844), _u16848), _u16849)) = hAPP(hAPP(c_List_Omap(_u16847, _u16845), hAPP(c_Fun_Ocomp(_u16844, _u16845, _u16847, _u16846), _u16848)), _u16849)) )).
% 19.53/19.78 cnf(matrix-7063, plain, ( ( hAPP(hAPP(c_List_Omap(_u16850, _u16851), _u16852), hAPP(hAPP(c_List_Omap(_u16853, _u16850), _u16854), _u16855)) = hAPP(hAPP(c_List_Omap(_u16853, _u16851), hAPP(c_Fun_Ocomp(_u16850, _u16851, _u16853, _u16852), _u16854)), _u16855)) )).
% 19.53/19.78 cnf(matrix-7064, plain, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u16856), tc_List_Olist(_u16857), tc_List_Olist(_u16858), hAPP(c_List_Omap(_u16856, _u16857), _u16859)), hAPP(c_List_Omap(_u16858, _u16856), _u16860)) = hAPP(c_List_Omap(_u16858, _u16857), hAPP(c_Fun_Ocomp(_u16856, _u16857, _u16858, _u16859), _u16860))) )).
% 19.53/19.78 cnf(matrix-7065, plain, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u16861), tc_List_Olist(_u16862), tc_List_Olist(_u16863), hAPP(c_List_Omap(_u16861, _u16862), _u16864)), hAPP(c_List_Omap(_u16863, _u16861), _u16865)) = hAPP(c_List_Omap(_u16863, _u16862), hAPP(c_Fun_Ocomp(_u16861, _u16862, _u16863, _u16864), _u16865))) )).
% 19.53/19.78 cnf(matrix-7066, plain, ( ( c_List_Olist_Olist__size(_u16866, _u16867, hAPP(hAPP(c_List_Omap(_u16868, _u16866), _u16869), _u16870)) = c_List_Olist_Olist__size(_u16868, hAPP(c_Fun_Ocomp(_u16866, tc_Nat_Onat, _u16868, _u16867), _u16869), _u16870)) )).
% 19.53/19.78 cnf(matrix-7067, plain, ( ( hAPP(hAPP(c_List_Omap(_u16871, _u16872), _u16873), _u16874) != hAPP(hAPP(c_List_Omap(_u16871, _u16872), _u16873), _u16875)) | ~c_Fun_Oinj__on(_u16871, _u16872, _u16873, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16871, tc_HOL_Obool)), hAPP(c_List_Oset(_u16871), _u16874)), hAPP(c_List_Oset(_u16871), _u16875))) | ( _u16874 = _u16875) )).
% 19.53/19.78 cnf(matrix-7068, plain, ( ~c_Fun_Oinj__on(_u16876, _u16877, _u16878, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16876, tc_HOL_Obool)), hAPP(c_List_Oset(_u16876), _u16879)), hAPP(c_List_Oset(_u16876), _u16880))) | ( hAPP(hAPP(c_List_Omap(_u16876, _u16877), _u16878), _u16879) != hAPP(hAPP(c_List_Omap(_u16876, _u16877), _u16878), _u16880)) | ( _u16879 = _u16880) )).
% 19.53/19.78 cnf(matrix-7069, plain, ( ~c_Fun_Oinj__on(_u16876, _u16877, _u16878, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16876, tc_HOL_Obool)), hAPP(c_List_Oset(_u16876), _u16879)), hAPP(c_List_Oset(_u16876), _u16880))) | ( _u16879 != _u16880) | ( hAPP(hAPP(c_List_Omap(_u16876, _u16877), _u16878), _u16879) = hAPP(hAPP(c_List_Omap(_u16876, _u16877), _u16878), _u16880)) )).
% 19.53/19.78 cnf(matrix-7070, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16881), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16882)), _u16883))) | ( hAPP(hAPP(c_List_Onth(_u16884), hAPP(hAPP(c_List_Omap(_u16882, _u16884), _u16885), _u16883)), _u16881) = hAPP(_u16885, hAPP(hAPP(c_List_Onth(_u16882), _u16883), _u16881))) )).
% 19.53/19.78 cnf(matrix-7071, plain, ( hBOOL(hAPP(hAPP(c_member(_u16886), _u16887), hAPP(c_List_Oset(_u16886), _u16888))) | ( hAPP(hAPP(c_List_Omap(_u16886, _u16889), c_Fun_Ofun__upd(_u16886, _u16889, _u16890, _u16887, _u16891)), _u16888) = hAPP(hAPP(c_List_Omap(_u16886, _u16889), _u16890), _u16888)) )).
% 19.53/19.78 cnf(matrix-7072, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16896), hAPP(hAPP(c_List_Omap(_u16898, _u16896), _u16900), _u16902))) | hBOOL(hAPP(c_List_Odistinct(_u16898), _u16902)) )).
% 19.53/19.78 cnf(matrix-7073, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16896), hAPP(hAPP(c_List_Omap(_u16898, _u16896), _u16900), _u16902))) | c_Fun_Oinj__on(_u16898, _u16896, _u16900, hAPP(c_List_Oset(_u16898), _u16902)) )).
% 19.53/19.78 cnf(matrix-7074, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16899), _u16903)) | ~c_Fun_Oinj__on(_u16899, _u16897, _u16901, hAPP(c_List_Oset(_u16899), _u16903)) | hBOOL(hAPP(c_List_Odistinct(_u16897), hAPP(hAPP(c_List_Omap(_u16899, _u16897), _u16901), _u16903))) )).
% 19.53/19.78 cnf(matrix-7075, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u16904) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u16904), hAPP(c_Groups_Oabs__class_Oabs(_u16904), hAPP(c_List_Omonoid__add__class_Olistsum(_u16904), _u16905))), hAPP(c_List_Omonoid__add__class_Olistsum(_u16904), hAPP(hAPP(c_List_Omap(_u16904, _u16904), c_Groups_Oabs__class_Oabs(_u16904)), _u16905)))) )).
% 19.53/19.78 cnf(matrix-7076, plain, ( ~class_Groups_Oab__group__add(_u16906) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u16906), hAPP(c_List_Omonoid__add__class_Olistsum(_u16906), hAPP(hAPP(c_List_Omap(_u16907, _u16906), _u16908), _u16909))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u16906), hAPP(hAPP(c_List_Omap(_u16907, _u16906), hAPP(c_Fun_Ocomp(_u16906, _u16906, _u16907, c_Groups_Ouminus__class_Ouminus(_u16906)), _u16908)), _u16909))) )).
% 19.53/19.78 cnf(matrix-7077, plain, ( ~c_Fun_Oinj__on(_u16910, _u16911, _u16912, c_Complete__Lattice_OSup__class_OSup(tc_fun(_u16910, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_List_Olist(_u16910), tc_fun(_u16910, tc_HOL_Obool), c_List_Oset(_u16910)), _u16913))) | c_Fun_Oinj__on(tc_List_Olist(_u16910), tc_List_Olist(_u16911), hAPP(c_List_Omap(_u16910, _u16911), _u16912), _u16913) )).
% 19.53/19.78 cnf(matrix-7078, plain, ( ~c_Fun_Oinj__on(tc_List_Olist(_u16914), tc_List_Olist(_u16915), hAPP(c_List_Omap(_u16914, _u16915), _u16916), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u16914), tc_HOL_Obool))) | c_Fun_Oinj__on(_u16914, _u16915, _u16916, c_Orderings_Otop__class_Otop(tc_fun(_u16914, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-7079, plain, ( ~c_Fun_Oinj__on(tc_List_Olist(_u16920), tc_List_Olist(_u16922), hAPP(c_List_Omap(_u16920, _u16922), _u16924), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u16920), tc_HOL_Obool))) | c_Fun_Oinj__on(_u16920, _u16922, _u16924, c_Orderings_Otop__class_Otop(tc_fun(_u16920, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-7080, plain, ( ~c_Fun_Oinj__on(_u16921, _u16923, _u16925, c_Orderings_Otop__class_Otop(tc_fun(_u16921, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u16921), tc_List_Olist(_u16923), hAPP(c_List_Omap(_u16921, _u16923), _u16925), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u16921), tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-7081, plain, ( ~class_Groups_Ocomm__monoid__add(_u16926) | ~hBOOL(hAPP(c_List_Odistinct(_u16927), _u16928)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16926), hAPP(hAPP(c_List_Omap(_u16927, _u16926), _u16929), _u16928)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u16927, _u16926), _u16929), hAPP(c_List_Oset(_u16927), _u16928))) )).
% 19.53/19.78 cnf(matrix-7082, plain, ( ~class_Rings_Osemiring__1(_u16930) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16930), hAPP(hAPP(c_List_Omap(_u16931, _u16930), hAPP(c_COMBK(_u16930, _u16931), _u16932)), _u16933)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u16930), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u16930), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16931)), _u16933))), _u16932)) )).
% 19.53/19.78 cnf(matrix-7083, plain, ( ~class_Groups_Ocomm__monoid__add(_u16934) | ~hBOOL(hAPP(hAPP(c_member(_u16935), _u16936), hAPP(c_List_Oset(_u16935), _u16937))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16934), hAPP(hAPP(c_List_Omap(_u16935, _u16934), _u16938), _u16937)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16934), hAPP(_u16938, _u16936)), hAPP(c_List_Omonoid__add__class_Olistsum(_u16934), hAPP(hAPP(c_List_Omap(_u16935, _u16934), _u16938), c_List_Oremove1(_u16935, _u16936, _u16937))))) )).
% 19.53/19.78 cnf(matrix-7084, plain, ( ~class_Groups_Ocomm__monoid__add(_u16939) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16940), _u16941)) | ( c_Nitpick_Osetsum_H(_u16940, _u16939, _u16942, _u16941) = hAPP(c_List_Omonoid__add__class_Olistsum(_u16939), hAPP(hAPP(c_List_Omap(_u16940, _u16939), _u16942), c_Hilbert__Choice_OEps(tc_List_Olist(_u16940), hAPP(hAPP(c_COMBS(tc_List_Olist(_u16940), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u16940)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16940), tc_fun(_u16940, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u16940, tc_HOL_Obool), tc_fun(tc_fun(_u16940, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u16940)), c_fequal), c_List_Oset(_u16940))), _u16941))), c_List_Odistinct(_u16940)))))) )).
% 19.53/19.78 cnf(matrix-7085, plain, ( ~class_Groups_Ocomm__monoid__add(_u16939) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u16940), _u16941)) | ( c_Nitpick_Osetsum_H(_u16940, _u16939, _u16942, _u16941) = c_Groups_Ozero__class_Ozero(_u16939)) )).
% 19.53/19.78 cnf(matrix-7086, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16943), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16944)), _u16945))) | ( hAPP(c_Random_Opick(_u16944, hAPP(hAPP(c_List_Omap(_u16944, tc_prod(tc_Code__Numeral_Ocode__numeral, _u16944)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u16944), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u16945)), hAPP(c_Code__Numeral_Oof__nat, _u16943)) = hAPP(hAPP(c_List_Onth(_u16944), _u16945), _u16943)) )).
% 19.53/19.78 cnf(matrix-7087, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.53/19.78 cnf(matrix-7088, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u16946)), hAPP(c_Code__Numeral_Oof__nat, _u16947)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u16946), _u16947))) )).
% 19.53/19.78 cnf(matrix-7089, plain, ( ( hAPP(c_Code__Numeral_Oof__nat, _u16950) != hAPP(c_Code__Numeral_Oof__nat, _u16952)) | ( _u16950 = _u16952) )).
% 19.53/19.78 cnf(matrix-7090, plain, ( ( _u16951 != _u16953) | ( hAPP(c_Code__Numeral_Oof__nat, _u16951) = hAPP(c_Code__Numeral_Oof__nat, _u16953)) )).
% 19.53/19.78 cnf(matrix-7091, plain, ( ( c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral)) )).
% 19.53/19.78 cnf(matrix-7092, plain, ( ( c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat, c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 19.53/19.78 cnf(matrix-7093, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u16956)), hAPP(c_Code__Numeral_Oof__nat, _u16958))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16956), _u16958)) )).
% 19.53/19.78 cnf(matrix-7094, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16957), _u16959)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u16957)), hAPP(c_Code__Numeral_Oof__nat, _u16959))) )).
% 19.53/19.78 cnf(matrix-7095, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16960), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16961), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( hAPP(c_Code__Numeral_Oof__nat, _u16960) != hAPP(c_Code__Numeral_Oof__nat, _u16961)) | ( _u16960 = _u16961) )).
% 19.53/19.78 cnf(matrix-7096, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16960), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16961), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u16960 != _u16961) | ( hAPP(c_Code__Numeral_Oof__nat, _u16960) = hAPP(c_Code__Numeral_Oof__nat, _u16961)) )).
% 19.53/19.78 cnf(matrix-7097, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16962)), _u16963) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16964)), _u16965)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u16962, _u16964), _u16962), c_Product__Type_Ofst(_u16962, _u16964)), hAPP(hAPP(c_List_Ozip(_u16962, _u16964), _u16963), _u16965)) = _u16963) )).
% 19.53/19.78 cnf(matrix-7098, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16966)), _u16967) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16968)), _u16969)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u16966, _u16968), _u16968), c_Product__Type_Osnd(_u16966, _u16968)), hAPP(hAPP(c_List_Ozip(_u16966, _u16968), _u16967), _u16969)) = _u16969) )).
% 19.53/19.78 cnf(matrix-7099, plain, ( ( c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Fun_Ocomp(tc_Nat_Onat, tc_Code__Numeral_Ocode__numeral, tc_Int_Oint, c_Code__Numeral_Oof__nat), c_Int_Onat)) )).
% 19.53/19.78 cnf(matrix-7100, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16970, _u16971), hAPP(hAPP(c_List_Omap(tc_prod(_u16970, _u16971), _u16970), c_Product__Type_Ofst(_u16970, _u16971)), _u16972)), hAPP(hAPP(c_List_Omap(tc_prod(_u16970, _u16971), _u16971), c_Product__Type_Osnd(_u16970, _u16971)), _u16972)) = _u16972) )).
% 19.53/19.78 cnf(matrix-7101, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u16973)), hAPP(c_Code__Numeral_Oof__nat, _u16974)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u16973), _u16974))) )).
% 19.53/19.78 cnf(matrix-7102, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u16977)), hAPP(c_Code__Numeral_Oof__nat, _u16979))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16977), _u16979)) )).
% 19.53/19.78 cnf(matrix-7103, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16978), _u16980)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u16978)), hAPP(c_Code__Numeral_Oof__nat, _u16980))) )).
% 19.53/19.78 cnf(matrix-7104, plain, ( ( hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, hAPP(c_Code__Numeral_Oof__nat, _u16981)), hAPP(c_Code__Numeral_Oof__nat, _u16982)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16981), _u16982))) )).
% 19.53/19.78 cnf(matrix-7105, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u16983), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u16984), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u16984)), _u16985)))) | hBOOL(hAPP(hAPP(c_member(_u16984), hAPP(c_Random_Opick(_u16984, _u16985), _u16983)), hAPP(c_List_Oset(_u16984), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u16984), _u16984), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u16984)), _u16985)))) )).
% 19.53/19.78 cnf(matrix-7106, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16986)), _u16987) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16988)), _u16989)) | ( hAPP(hAPP(c_List_Ozip(_u16986, _u16988), _u16987), _u16989) != _u16990) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u16986, _u16988), _u16986), c_Product__Type_Ofst(_u16986, _u16988)), _u16990) = _u16987) )).
% 19.53/19.78 cnf(matrix-7107, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16986)), _u16987) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16988)), _u16989)) | ( hAPP(hAPP(c_List_Ozip(_u16986, _u16988), _u16987), _u16989) != _u16990) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u16986, _u16988), _u16988), c_Product__Type_Osnd(_u16986, _u16988)), _u16990) = _u16989) )).
% 19.53/19.78 cnf(matrix-7108, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16986)), _u16987) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16988)), _u16989)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u16986, _u16988), _u16986), c_Product__Type_Ofst(_u16986, _u16988)), _u16990) != _u16987) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u16986, _u16988), _u16988), c_Product__Type_Osnd(_u16986, _u16988)), _u16990) != _u16989) | ( hAPP(hAPP(c_List_Ozip(_u16986, _u16988), _u16987), _u16989) = _u16990) )).
% 19.53/19.78 cnf(matrix-7109, plain, ( ( c_List_Olist_Olist__size(_u16991, _u16992, _u16993) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(_u16991, tc_Nat_Onat), _u16992), _u16993))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16991)), _u16993))) )).
% 19.53/19.78 cnf(matrix-7110, plain, ( ( _u16995 = hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u16995)) )).
% 19.53/19.78 cnf(matrix-7111, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u16996)) | ( _u16996 != hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.53/19.78 cnf(matrix-7112, plain, ( ~class_Groups_Ocomm__monoid__add(_u16997) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u16997), _u16998), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u16999, _u17000))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u16997), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u16997), _u16998), c_List_Oupto(_u16999, _u17000)))) )).
% 19.53/19.78 cnf(matrix-7113, plain, ( ~class_Groups_Ocomm__monoid__add(_u17001) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17001), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u17001), _u17002), c_List_Oupto(_u17003, _u17004))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u17001), _u17002), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17003, _u17004)))) )).
% 19.53/19.78 cnf(matrix-7114, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17005), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u17005)), _u17006)))) | hBOOL(hAPP(hAPP(c_member(_u17005), hAPP(c_Product__Type_Ofst(_u17005, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect__weight(_u17005, _u17006), _u17007))), hAPP(c_List_Oset(_u17005), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17005), _u17005), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u17005)), _u17006)))) )).
% 19.53/19.78 cnf(matrix-7115, plain, ( ( c_Random_Oselect__weight(_u17008, _u17009) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_Code__Numeral_Ocode__numeral, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u17008, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random_Orange(hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17008), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u17008)), _u17009)))), hAPP(hAPP(c_COMBB(_u17008, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u17008, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u17008, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random_Opick(_u17008, _u17009)))) )).
% 19.53/19.78 cnf(matrix-7116, plain, ( ( c_Random_Oselect(_u17010, _u17011) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_Code__Numeral_Ocode__numeral, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u17010, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random_Orange(hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17010)), _u17011)))), hAPP(hAPP(c_COMBB(_u17010, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u17010, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u17010, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u17010, tc_Code__Numeral_Ocode__numeral), hAPP(c_List_Onth(_u17010), _u17011)), c_Code__Numeral_Onat__of)))) )).
% 19.53/19.78 cnf(matrix-7117, plain, ( ~class_Groups_Omonoid__add(_u17013) | ~class_Groups_Oordered__ab__semigroup__add(_u17013) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17013), hAPP(c_List_Omonoid__add__class_Olistsum(_u17013), hAPP(hAPP(c_List_Omap(_u17014, _u17013), _u17016), _u17015))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17013), hAPP(hAPP(c_List_Omap(_u17014, _u17013), _u17017), _u17015)))) | hBOOL(hAPP(hAPP(c_member(_u17014), skolem428(_u17017, _u17016, _u17015, _u17014, _u17013)), hAPP(c_List_Oset(_u17014), _u17015))) )).
% 19.53/19.78 cnf(matrix-7118, plain, ( ~class_Groups_Omonoid__add(_u17013) | ~class_Groups_Oordered__ab__semigroup__add(_u17013) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17013), hAPP(c_List_Omonoid__add__class_Olistsum(_u17013), hAPP(hAPP(c_List_Omap(_u17014, _u17013), _u17016), _u17015))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17013), hAPP(hAPP(c_List_Omap(_u17014, _u17013), _u17017), _u17015)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17013), hAPP(_u17016, skolem428(_u17017, _u17016, _u17015, _u17014, _u17013))), hAPP(_u17017, skolem428(_u17017, _u17016, _u17015, _u17014, _u17013)))) )).
% 19.53/19.78 cnf(matrix-7119, plain, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Code__Numeral_Oof__nat, _u17018)) = _u17018) )).
% 19.53/19.78 cnf(matrix-7120, plain, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u17019)) = _u17019) )).
% 19.53/19.78 cnf(matrix-7121, plain, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u17020)) = _u17020) )).
% 19.53/19.78 cnf(matrix-7122, plain, ( ( hAPP(c_Code__Numeral_Onat__of, _u17023) != hAPP(c_Code__Numeral_Onat__of, _u17025)) | ( _u17023 = _u17025) )).
% 19.53/19.78 cnf(matrix-7123, plain, ( ( _u17024 != _u17026) | ( hAPP(c_Code__Numeral_Onat__of, _u17024) = hAPP(c_Code__Numeral_Onat__of, _u17026)) )).
% 19.53/19.78 cnf(matrix-7124, plain, ( ( hAPP(c_Code__Numeral_Onat__of, _u17029) != hAPP(c_Code__Numeral_Onat__of, _u17031)) | ( _u17029 = _u17031) )).
% 19.53/19.78 cnf(matrix-7125, plain, ( ( _u17030 != _u17032) | ( hAPP(c_Code__Numeral_Onat__of, _u17030) = hAPP(c_Code__Numeral_Onat__of, _u17032)) )).
% 19.53/19.78 cnf(matrix-7126, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), _u17033), _u17034) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17033)), hAPP(c_Code__Numeral_Onat__of, _u17034)))) )).
% 19.53/19.78 cnf(matrix-7127, plain, ( c_Typedef_Otype__definition(tc_Code__Numeral_Ocode__numeral, tc_Nat_Onat, c_Code__Numeral_Onat__of, c_Code__Numeral_Oof__nat, c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 19.53/19.78 cnf(matrix-7128, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17037), _u17039)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17037)), hAPP(c_Code__Numeral_Onat__of, _u17039))) )).
% 19.53/19.78 cnf(matrix-7129, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17038)), hAPP(c_Code__Numeral_Onat__of, _u17040))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17038), _u17040)) )).
% 19.53/19.78 cnf(matrix-7130, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17041)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 19.53/19.78 cnf(matrix-7131, plain, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), _u17042)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17042)) )).
% 19.53/19.78 cnf(matrix-7132, plain, ( ( c_Code__Numeral_Oint__of = hAPP(c_Fun_Ocomp(tc_Nat_Onat, tc_Int_Oint, tc_Code__Numeral_Ocode__numeral, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), c_Code__Numeral_Onat__of)) )).
% 19.53/19.78 cnf(matrix-7133, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u17045), _u17047)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17045)), hAPP(c_Code__Numeral_Onat__of, _u17047))) )).
% 19.53/19.78 cnf(matrix-7134, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17046)), hAPP(c_Code__Numeral_Onat__of, _u17048))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u17046), _u17048)) )).
% 19.53/19.78 cnf(matrix-7135, plain, ( ( hAPP(c_Code__Numeral_Onat__of, _u17049) = c_Code__Numeral_Onat__of__aux(_u17049, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.53/19.78 cnf(matrix-7136, plain, ( ( c_Code__Numeral_Onat__of__aux(_u17050, _u17051) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17050)), _u17051)) )).
% 19.53/19.78 cnf(matrix-7137, plain, ( ( c_Code__Numeral_OSuc__code__numeral(_u17052) = hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Nat_OSuc, hAPP(c_Code__Numeral_Onat__of, _u17052)))) )).
% 19.53/19.78 cnf(matrix-7138, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u17053), _u17054) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17053)), hAPP(c_Code__Numeral_Onat__of, _u17054)))) )).
% 19.53/19.78 cnf(matrix-7139, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17055), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Code__Numeral_Oof__nat, _u17055)) = _u17055) )).
% 19.53/19.78 cnf(matrix-7140, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u17056), _u17057) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17056)), hAPP(c_Code__Numeral_Onat__of, _u17057)))) )).
% 19.53/19.78 cnf(matrix-7141, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u17058), _u17059) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17058)), hAPP(c_Code__Numeral_Onat__of, _u17059)))) )).
% 19.53/19.78 cnf(matrix-7142, plain, ( ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u17060, _u17061) = hAPP(c_Code__Numeral_Oof__nat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Code__Numeral_Onat__of, _u17060), hAPP(c_Code__Numeral_Onat__of, _u17061)))) )).
% 19.53/19.78 cnf(matrix-7143, plain, ( ( _u17062 = hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17062)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_Code__Numeral_Onat__of, _u17062))) )).
% 19.53/19.78 cnf(matrix-7144, plain, ( ( hAPP(c_New__DSequence_Opos__not__seq(_u17063), _u17064) = c_Lazy__Sequence_Ohb__not__seq(hAPP(_u17063, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))), _u17064)))) )).
% 19.53/19.78 cnf(matrix-7145, plain, ( ( c_List_Opartition(_u17065, _u17066, _u17067) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17065), tc_List_Olist(_u17065)), _u17068), _u17069)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17065, tc_HOL_Obool)), hAPP(c_List_Oset(_u17065), _u17068)), hAPP(c_List_Oset(_u17065), _u17069)) = hAPP(c_List_Oset(_u17065), _u17067)) )).
% 19.53/19.78 cnf(matrix-7146, plain, ( ( c_List_Opartition(_u17072, _u17073, _u17074) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17072), tc_List_Olist(_u17072)), _u17075), _u17076)) | ~hBOOL(hAPP(hAPP(c_member(_u17072), _u17070), hAPP(c_List_Oset(_u17072), _u17075))) | hBOOL(hAPP(_u17073, _u17070)) )).
% 19.53/19.78 cnf(matrix-7147, plain, ( ( c_List_Opartition(_u17072, _u17073, _u17074) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17072), tc_List_Olist(_u17072)), _u17075), _u17076)) | ~hBOOL(hAPP(hAPP(c_member(_u17072), _u17071), hAPP(c_List_Oset(_u17072), _u17076))) | ~hBOOL(hAPP(_u17073, _u17071)) )).
% 19.53/19.78 cnf(matrix-7148, plain, ( ( c_List_Opartition(_u17077, _u17078, c_List_Olist_ONil(_u17077)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17077), tc_List_Olist(_u17077)), c_List_Olist_ONil(_u17077)), c_List_Olist_ONil(_u17077))) )).
% 19.53/19.78 cnf(matrix-7149, plain, ( ( c_List_Opartition(_u17079, _u17080, hAPP(hAPP(c_List_Olist_OCons(_u17079), _u17081), _u17082)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17079), tc_List_Olist(_u17079), tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17079), tc_fun(tc_List_Olist(_u17079), tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079))), tc_fun(tc_List_Olist(_u17079), tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17079), tc_fun(tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079)), tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079)))), tc_fun(tc_fun(tc_List_Olist(_u17079), tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079))), tc_fun(tc_List_Olist(_u17079), tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079)))), tc_List_Olist(_u17079)), c_COMBS(tc_List_Olist(_u17079), tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079)), tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17079), tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079))), tc_fun(tc_List_Olist(_u17079), tc_fun(tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079)), tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079)))), tc_List_Olist(_u17079)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079)), tc_fun(tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079)), tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079))), tc_List_Olist(_u17079)), hAPP(c_If(tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079))), hAPP(_u17080, _u17081)))), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17079), tc_fun(tc_List_Olist(_u17079), tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079))), tc_List_Olist(_u17079)), c_Product__Type_OPair(tc_List_Olist(_u17079), tc_List_Olist(_u17079))), hAPP(c_List_Olist_OCons(_u17079), _u17081))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17079), tc_fun(tc_List_Olist(_u17079), tc_List_Olist(_u17079)), tc_fun(tc_List_Olist(_u17079), tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u17079), tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079))), tc_fun(tc_fun(tc_List_Olist(_u17079), tc_List_Olist(_u17079)), tc_fun(tc_List_Olist(_u17079), tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079)))), tc_List_Olist(_u17079)), c_COMBB(tc_List_Olist(_u17079), tc_prod(tc_List_Olist(_u17079), tc_List_Olist(_u17079)), tc_List_Olist(_u17079))), c_Product__Type_OPair(tc_List_Olist(_u17079), tc_List_Olist(_u17079)))), hAPP(c_List_Olist_OCons(_u17079), _u17081)))), c_List_Opartition(_u17079, _u17080, _u17082))) )).
% 19.53/19.78 cnf(matrix-7150, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17083)), _u17084), c_List_Olists(_u17083, _u17085))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17083)), _u17084), c_List_Olists(_u17083, _u17086))) | hBOOL(hAPP(c_List_Olistsp(_u17083, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17083, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u17083, tc_fun(_u17083, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17083)), _u17085)), hAPP(hAPP(c_COMBC(_u17083, tc_fun(_u17083, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17083)), _u17086))), _u17084)) )).
% 19.53/19.78 cnf(matrix-7151, plain, ( ( c_List_Olistsp(_u17087, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17087, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u17087, tc_fun(_u17087, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17087)), _u17088)), hAPP(hAPP(c_COMBC(_u17087, tc_fun(_u17087, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17087)), _u17089))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(_u17087), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17087), tc_fun(tc_List_Olist(_u17087), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u17087))), c_List_Olists(_u17087, _u17088))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17087), tc_fun(tc_List_Olist(_u17087), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u17087))), c_List_Olists(_u17087, _u17089)))) )).
% 19.53/19.78 cnf(matrix-7152, plain, ( hBOOL(hAPP(c_List_Olistsp(_u17090, _u17091), c_List_Olist_ONil(_u17090))) )).
% 19.53/19.78 cnf(matrix-7153, plain, ( hBOOL(hAPP(c_List_Olistsp(_u17092, _u17093), c_List_Olist_ONil(_u17092))) )).
% 19.53/19.78 cnf(matrix-7154, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17099, _u17101), _u17103)) | ~hBOOL(hAPP(hAPP(c_member(_u17099), _u17094), hAPP(c_List_Oset(_u17099), _u17103))) | hBOOL(hAPP(_u17101, _u17094)) )).
% 19.53/19.78 cnf(matrix-7155, plain, ( hBOOL(hAPP(c_List_Olistsp(_u17100, _u17102), _u17104)) | hBOOL(hAPP(hAPP(c_member(_u17100), skolem429(_u17104, _u17102, _u17100)), hAPP(c_List_Oset(_u17100), _u17104))) )).
% 19.53/19.78 cnf(matrix-7156, plain, ( hBOOL(hAPP(c_List_Olistsp(_u17100, _u17102), _u17104)) | ~hBOOL(hAPP(_u17102, skolem429(_u17104, _u17102, _u17100))) )).
% 19.53/19.78 cnf(matrix-7157, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17109, hAPP(hAPP(c_COMBS(_u17109, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17109), c_fconj), _u17111)), _u17113)), _u17115)) | hBOOL(hAPP(c_List_Olistsp(_u17109, _u17111), _u17115)) )).
% 19.53/19.78 cnf(matrix-7158, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17109, hAPP(hAPP(c_COMBS(_u17109, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17109), c_fconj), _u17111)), _u17113)), _u17115)) | hBOOL(hAPP(c_List_Olistsp(_u17109, _u17113), _u17115)) )).
% 19.53/19.78 cnf(matrix-7159, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17110, _u17112), _u17116)) | ~hBOOL(hAPP(c_List_Olistsp(_u17110, _u17114), _u17116)) | hBOOL(hAPP(c_List_Olistsp(_u17110, hAPP(hAPP(c_COMBS(_u17110, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17110), c_fconj), _u17112)), _u17114)), _u17116)) )).
% 19.53/19.78 cnf(matrix-7160, plain, ( ( c_List_Olistsp(_u17117, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17117, tc_HOL_Obool)), _u17118), _u17119)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(_u17117), tc_HOL_Obool)), c_List_Olistsp(_u17117, _u17118)), c_List_Olistsp(_u17117, _u17119))) )).
% 19.53/19.78 cnf(matrix-7161, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17120, _u17121), _u17122)) | ~hBOOL(hAPP(c_List_Olistsp(_u17120, _u17123), _u17122)) | hBOOL(hAPP(c_List_Olistsp(_u17120, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17120, tc_HOL_Obool)), _u17121), _u17123)), _u17122)) )).
% 19.53/19.78 cnf(matrix-7162, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17128, _u17130), hAPP(hAPP(c_List_Olist_OCons(_u17128), _u17132), _u17134))) | hBOOL(hAPP(_u17130, _u17132)) )).
% 19.53/19.78 cnf(matrix-7163, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17128, _u17130), hAPP(hAPP(c_List_Olist_OCons(_u17128), _u17132), _u17134))) | hBOOL(hAPP(c_List_Olistsp(_u17128, _u17130), _u17134)) )).
% 19.53/19.78 cnf(matrix-7164, plain, ( ~hBOOL(hAPP(_u17131, _u17133)) | ~hBOOL(hAPP(c_List_Olistsp(_u17129, _u17131), _u17135)) | hBOOL(hAPP(c_List_Olistsp(_u17129, _u17131), hAPP(hAPP(c_List_Olist_OCons(_u17129), _u17133), _u17135))) )).
% 19.53/19.78 cnf(matrix-7165, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17140, _u17142), hAPP(hAPP(c_List_Oappend(_u17140), _u17144), _u17146))) | hBOOL(hAPP(c_List_Olistsp(_u17140, _u17142), _u17144)) )).
% 19.53/19.78 cnf(matrix-7166, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17140, _u17142), hAPP(hAPP(c_List_Oappend(_u17140), _u17144), _u17146))) | hBOOL(hAPP(c_List_Olistsp(_u17140, _u17142), _u17146)) )).
% 19.53/19.78 cnf(matrix-7167, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17141, _u17143), _u17145)) | ~hBOOL(hAPP(c_List_Olistsp(_u17141, _u17143), _u17147)) | hBOOL(hAPP(c_List_Olistsp(_u17141, _u17143), hAPP(hAPP(c_List_Oappend(_u17141), _u17145), _u17147))) )).
% 19.53/19.78 cnf(matrix-7168, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17148, tc_HOL_Obool)), _u17149), _u17150)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u17148), tc_HOL_Obool)), c_List_Olistsp(_u17148, _u17149)), c_List_Olistsp(_u17148, _u17150))) )).
% 19.53/19.78 cnf(matrix-7169, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17154, hAPP(hAPP(c_COMBC(_u17154, tc_fun(_u17154, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17154)), _u17156)), _u17158)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17154)), _u17158), c_List_Olists(_u17154, _u17156))) )).
% 19.53/19.78 cnf(matrix-7170, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17155)), _u17159), c_List_Olists(_u17155, _u17157))) | hBOOL(hAPP(c_List_Olistsp(_u17155, hAPP(hAPP(c_COMBC(_u17155, tc_fun(_u17155, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17155)), _u17157)), _u17159)) )).
% 19.53/19.78 cnf(matrix-7171, plain, ( ( c_Enum_Oproduct(_u17160, _u17161, hAPP(hAPP(c_List_Olist_OCons(_u17160), _u17162), _u17163), _u17164) = hAPP(hAPP(c_List_Oappend(tc_prod(_u17160, _u17161)), hAPP(hAPP(c_List_Omap(_u17161, tc_prod(_u17160, _u17161)), hAPP(c_Product__Type_OPair(_u17160, _u17161), _u17162)), _u17164)), c_Enum_Oproduct(_u17160, _u17161, _u17163, _u17164))) )).
% 19.53/19.78 cnf(matrix-7172, plain, ( ~c_List_Olist__all2(_u17172, _u17174, _u17176, _u17178, _u17180) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17172)), _u17178) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17174)), _u17180)) )).
% 19.53/19.78 cnf(matrix-7173, plain, ( ~c_List_Olist__all2(_u17172, _u17174, _u17176, _u17178, _u17180) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17172, _u17174)), _u17165), hAPP(c_List_Oset(tc_prod(_u17172, _u17174)), hAPP(hAPP(c_List_Ozip(_u17172, _u17174), _u17178), _u17180)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17172, _u17174, tc_HOL_Obool), _u17176), _u17165)) )).
% 19.53/19.78 cnf(matrix-7174, plain, ( c_List_Olist__all2(_u17173, _u17175, _u17177, _u17179, _u17181) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17173)), _u17179) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17175)), _u17181)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17173, _u17175)), skolem430(_u17181, _u17179, _u17177, _u17175, _u17173)), hAPP(c_List_Oset(tc_prod(_u17173, _u17175)), hAPP(hAPP(c_List_Ozip(_u17173, _u17175), _u17179), _u17181)))) )).
% 19.53/19.78 cnf(matrix-7175, plain, ( c_List_Olist__all2(_u17173, _u17175, _u17177, _u17179, _u17181) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17173)), _u17179) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17175)), _u17181)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17173, _u17175, tc_HOL_Obool), _u17177), skolem430(_u17181, _u17179, _u17177, _u17175, _u17173))) )).
% 19.53/19.78 cnf(matrix-7176, plain, ( ~c_List_Olist__all2(_u17189, _u17191, _u17193, hAPP(hAPP(c_List_Omap(_u17195, _u17189), _u17197), _u17199), _u17201) | c_List_Olist__all2(_u17195, _u17191, hAPP(hAPP(c_COMBB(_u17189, tc_fun(_u17191, tc_HOL_Obool), _u17195), _u17193), _u17197), _u17199, _u17201) )).
% 19.53/19.78 cnf(matrix-7177, plain, ( ~c_List_Olist__all2(_u17196, _u17192, hAPP(hAPP(c_COMBB(_u17190, tc_fun(_u17192, tc_HOL_Obool), _u17196), _u17194), _u17198), _u17200, _u17202) | c_List_Olist__all2(_u17190, _u17192, _u17194, hAPP(hAPP(c_List_Omap(_u17196, _u17190), _u17198), _u17200), _u17202) )).
% 19.53/19.78 cnf(matrix-7178, plain, ( ~c_List_Olist__all2(_u17210, _u17212, _u17214, _u17216, hAPP(hAPP(c_List_Omap(_u17218, _u17212), _u17220), _u17222)) | c_List_Olist__all2(_u17210, _u17218, hAPP(hAPP(c_COMBC(_u17210, tc_fun(_u17218, _u17212), tc_fun(_u17218, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17212, tc_HOL_Obool), tc_fun(tc_fun(_u17218, _u17212), tc_fun(_u17218, tc_HOL_Obool)), _u17210), c_COMBB(_u17212, tc_HOL_Obool, _u17218)), _u17214)), _u17220), _u17216, _u17222) )).
% 19.53/19.78 cnf(matrix-7179, plain, ( ~c_List_Olist__all2(_u17211, _u17219, hAPP(hAPP(c_COMBC(_u17211, tc_fun(_u17219, _u17213), tc_fun(_u17219, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u17213, tc_HOL_Obool), tc_fun(tc_fun(_u17219, _u17213), tc_fun(_u17219, tc_HOL_Obool)), _u17211), c_COMBB(_u17213, tc_HOL_Obool, _u17219)), _u17215)), _u17221), _u17217, _u17223) | c_List_Olist__all2(_u17211, _u17213, _u17215, _u17217, hAPP(hAPP(c_List_Omap(_u17219, _u17213), _u17221), _u17223)) )).
% 19.53/19.78 cnf(matrix-7180, plain, ( ~c_List_Olist__all2(_u17224, _u17225, _u17226, _u17227, _u17228) | c_List_Olist__all2(_u17224, _u17225, _u17226, hAPP(hAPP(c_List_Odrop(_u17224), _u17229), _u17227), hAPP(hAPP(c_List_Odrop(_u17225), _u17229), _u17228)) )).
% 19.53/19.78 cnf(matrix-7181, plain, ( ~c_List_Olist__all2(_u17230, _u17231, _u17232, _u17233, _u17234) | ~c_List_Olist__all2(_u17230, _u17231, _u17232, _u17235, _u17236) | c_List_Olist__all2(_u17230, _u17231, _u17232, hAPP(hAPP(c_List_Oappend(_u17230), _u17233), _u17235), hAPP(hAPP(c_List_Oappend(_u17231), _u17234), _u17236)) )).
% 19.53/19.78 cnf(matrix-7182, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17237)), _u17238) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17239)), _u17240)) | ~c_List_Olist__all2(_u17237, _u17239, _u17241, hAPP(hAPP(c_List_Oappend(_u17237), _u17238), _u17242), hAPP(hAPP(c_List_Oappend(_u17239), _u17240), _u17243)) | c_List_Olist__all2(_u17237, _u17239, _u17241, _u17238, _u17240) )).
% 19.53/19.78 cnf(matrix-7183, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17237)), _u17238) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17239)), _u17240)) | ~c_List_Olist__all2(_u17237, _u17239, _u17241, hAPP(hAPP(c_List_Oappend(_u17237), _u17238), _u17242), hAPP(hAPP(c_List_Oappend(_u17239), _u17240), _u17243)) | c_List_Olist__all2(_u17237, _u17239, _u17241, _u17242, _u17243) )).
% 19.53/19.78 cnf(matrix-7184, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17237)), _u17238) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17239)), _u17240)) | ~c_List_Olist__all2(_u17237, _u17239, _u17241, _u17238, _u17240) | ~c_List_Olist__all2(_u17237, _u17239, _u17241, _u17242, _u17243) | c_List_Olist__all2(_u17237, _u17239, _u17241, hAPP(hAPP(c_List_Oappend(_u17237), _u17238), _u17242), hAPP(hAPP(c_List_Oappend(_u17239), _u17240), _u17243)) )).
% 19.53/19.78 cnf(matrix-7185, plain, ( ~c_List_Olist__all2(_u17251, _u17253, _u17255, hAPP(hAPP(c_List_Olist_OCons(_u17251), _u17257), _u17259), hAPP(hAPP(c_List_Olist_OCons(_u17253), _u17261), _u17263)) | hBOOL(hAPP(hAPP(_u17255, _u17257), _u17261)) )).
% 19.53/19.78 cnf(matrix-7186, plain, ( ~c_List_Olist__all2(_u17251, _u17253, _u17255, hAPP(hAPP(c_List_Olist_OCons(_u17251), _u17257), _u17259), hAPP(hAPP(c_List_Olist_OCons(_u17253), _u17261), _u17263)) | c_List_Olist__all2(_u17251, _u17253, _u17255, _u17259, _u17263) )).
% 19.53/19.78 cnf(matrix-7187, plain, ( ~hBOOL(hAPP(hAPP(_u17256, _u17258), _u17262)) | ~c_List_Olist__all2(_u17252, _u17254, _u17256, _u17260, _u17264) | c_List_Olist__all2(_u17252, _u17254, _u17256, hAPP(hAPP(c_List_Olist_OCons(_u17252), _u17258), _u17260), hAPP(hAPP(c_List_Olist_OCons(_u17254), _u17262), _u17264)) )).
% 19.53/19.78 cnf(matrix-7188, plain, ( ~c_List_Olist__all2(_u17265, _u17266, _u17267, _u17268, _u17269) | c_List_Olist__all2(_u17265, _u17266, _u17267, hAPP(hAPP(c_List_Otake(_u17265), _u17270), _u17268), hAPP(hAPP(c_List_Otake(_u17266), _u17270), _u17269)) )).
% 19.53/19.78 cnf(matrix-7189, plain, ( ( _u17274 != _u17276) | c_List_Olist__all2(_u17278, _u17278, c_fequal, _u17274, _u17276) )).
% 19.53/19.78 cnf(matrix-7190, plain, ( ~c_List_Olist__all2(_u17279, _u17279, c_fequal, _u17275, _u17277) | ( _u17275 = _u17277) )).
% 19.53/19.78 cnf(matrix-7191, plain, ( ~c_List_Olist__all2(_u17280, _u17281, _u17282, _u17283, _u17284) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17280)), _u17283) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17281)), _u17284)) )).
% 19.53/19.78 cnf(matrix-7192, plain, ( ~c_List_Olist__all2(_u17289, _u17291, _u17293, _u17295, c_List_Olist_ONil(_u17291)) | ( _u17295 = c_List_Olist_ONil(_u17289)) )).
% 19.53/19.78 cnf(matrix-7193, plain, ( ( _u17296 != c_List_Olist_ONil(_u17290)) | c_List_Olist__all2(_u17290, _u17292, _u17294, _u17296, c_List_Olist_ONil(_u17292)) )).
% 19.53/19.78 cnf(matrix-7194, plain, ( ( _u17307 = c_List_Olist_ONil(_u17303)) | ~c_List_Olist__all2(_u17301, _u17303, _u17305, c_List_Olist_ONil(_u17301), _u17307) )).
% 19.53/19.78 cnf(matrix-7195, plain, ( ( _u17308 != c_List_Olist_ONil(_u17304)) | c_List_Olist__all2(_u17302, _u17304, _u17306, c_List_Olist_ONil(_u17302), _u17308) )).
% 19.53/19.78 cnf(matrix-7196, plain, ( ( c_Enum_Oproduct(_u17309, _u17310, c_List_Olist_ONil(_u17309), _u17311) = c_List_Olist_ONil(tc_prod(_u17309, _u17310))) )).
% 19.53/19.78 cnf(matrix-7197, plain, ( ~c_List_Olist__all2(_u17312, _u17313, _u17314, _u17315, _u17316) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17317), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17313)), _u17316))) | hBOOL(hAPP(hAPP(_u17314, hAPP(hAPP(c_List_Onth(_u17312), _u17315), _u17317)), hAPP(hAPP(c_List_Onth(_u17313), _u17316), _u17317))) )).
% 19.53/19.78 cnf(matrix-7198, plain, ( ~c_List_Olist__all2(_u17318, _u17319, _u17320, _u17321, _u17322) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17323), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17318)), _u17321))) | hBOOL(hAPP(hAPP(_u17320, hAPP(hAPP(c_List_Onth(_u17318), _u17321), _u17323)), hAPP(hAPP(c_List_Onth(_u17319), _u17322), _u17323))) )).
% 19.53/19.78 cnf(matrix-7199, plain, ( ~c_List_Olist__all2(_u17331, _u17333, _u17335, _u17337, _u17339) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17331)), _u17337) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17333)), _u17339)) )).
% 19.53/19.78 cnf(matrix-7200, plain, ( ~c_List_Olist__all2(_u17331, _u17333, _u17335, _u17337, _u17339) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17324), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17331)), _u17337))) | hBOOL(hAPP(hAPP(_u17335, hAPP(hAPP(c_List_Onth(_u17331), _u17337), _u17324)), hAPP(hAPP(c_List_Onth(_u17333), _u17339), _u17324))) )).
% 19.53/19.78 cnf(matrix-7201, plain, ( c_List_Olist__all2(_u17332, _u17334, _u17336, _u17338, _u17340) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17332)), _u17338) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17334)), _u17340)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem431(_u17340, _u17338, _u17336, _u17334, _u17332)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17332)), _u17338))) )).
% 19.53/19.78 cnf(matrix-7202, plain, ( c_List_Olist__all2(_u17332, _u17334, _u17336, _u17338, _u17340) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17332)), _u17338) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17334)), _u17340)) | ~hBOOL(hAPP(hAPP(_u17336, hAPP(hAPP(c_List_Onth(_u17332), _u17338), skolem431(_u17340, _u17338, _u17336, _u17334, _u17332))), hAPP(hAPP(c_List_Onth(_u17334), _u17340), skolem431(_u17340, _u17338, _u17336, _u17334, _u17332)))) )).
% 19.53/19.78 cnf(matrix-7203, plain, ( ~c_List_Olist__all2(_u17341, _u17342, _u17343, _u17344, _u17345) | ~hBOOL(hAPP(hAPP(_u17343, _u17346), _u17347)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17348), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17342)), _u17345))) | c_List_Olist__all2(_u17341, _u17342, _u17343, hAPP(hAPP(c_List_Olist__update(_u17341, _u17344), _u17348), _u17346), hAPP(hAPP(c_List_Olist__update(_u17342, _u17345), _u17348), _u17347)) )).
% 19.53/19.78 cnf(matrix-7204, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17349), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17350)), _u17351))) | ~c_List_Olist__all2(_u17350, _u17352, _u17353, _u17351, _u17354) | ~hBOOL(hAPP(hAPP(_u17353, _u17355), _u17356)) | c_List_Olist__all2(_u17350, _u17352, _u17353, hAPP(hAPP(c_List_Olist__update(_u17350, _u17351), _u17349), _u17355), hAPP(hAPP(c_List_Olist__update(_u17352, _u17354), _u17349), _u17356)) )).
% 19.53/19.78 cnf(matrix-7205, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17357), _u17358)) | ~hBOOL(hAPP(c_List_Odistinct(_u17359), _u17360)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u17357, _u17359)), c_Enum_Oproduct(_u17357, _u17359, _u17358, _u17360))) )).
% 19.53/19.78 cnf(matrix-7206, plain, ( ( hAPP(c_List_Oset(tc_prod(_u17361, _u17362)), c_Enum_Oproduct(_u17361, _u17362, _u17363, _u17364)) = hAPP(hAPP(c_Product__Type_OSigma(_u17361, _u17362), hAPP(c_List_Oset(_u17361), _u17363)), hAPP(c_COMBK(tc_fun(_u17362, tc_HOL_Obool), _u17361), hAPP(c_List_Oset(_u17362), _u17364)))) )).
% 19.53/19.78 cnf(matrix-7207, plain, ( ( hAPP(c_Set_Oimage(tc_List_Olist(_u17365), tc_fun(_u17365, tc_HOL_Obool), c_List_Oset(_u17365)), hAPP(c_List_Oset(tc_List_Olist(_u17365)), c_Enum_Osublists(_u17365, _u17366))) = hAPP(c_Set_OPow(_u17365), hAPP(c_List_Oset(_u17365), _u17366))) )).
% 19.53/19.78 cnf(matrix-7208, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17367))), c_Enum_Osublists(_u17367, _u17368)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17367)), _u17368))) )).
% 19.53/19.78 cnf(matrix-7209, plain, ( ( c_Enum_Osublists(_u17369, c_List_Olist_ONil(_u17369)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17369)), c_List_Olist_ONil(_u17369)), c_List_Olist_ONil(tc_List_Olist(_u17369)))) )).
% 19.53/19.78 cnf(matrix-7210, plain, ( ( c_Enum_Osublists(_u17370, hAPP(hAPP(c_List_Olist_OCons(_u17370), _u17371), _u17372)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(_u17370)), tc_List_Olist(tc_List_Olist(_u17370))), c_Enum_Osublists(_u17370, _u17372)), hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(_u17370)), tc_List_Olist(tc_List_Olist(_u17370)), tc_List_Olist(tc_List_Olist(_u17370))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(_u17370)), tc_fun(tc_List_Olist(tc_List_Olist(_u17370)), tc_List_Olist(tc_List_Olist(_u17370))), tc_List_Olist(tc_List_Olist(_u17370))), c_List_Oappend(tc_List_Olist(_u17370))), hAPP(c_List_Omap(tc_List_Olist(_u17370), tc_List_Olist(_u17370)), hAPP(c_List_Olist_OCons(_u17370), _u17371)))), c_COMBI(tc_List_Olist(tc_List_Olist(_u17370)))))) )).
% 19.53/19.78 cnf(matrix-7211, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17373), _u17374)) | hBOOL(hAPP(c_List_Odistinct(tc_fun(_u17373, tc_HOL_Obool)), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17373), tc_fun(_u17373, tc_HOL_Obool)), c_List_Oset(_u17373)), c_Enum_Osublists(_u17373, _u17374)))) )).
% 19.53/19.78 cnf(matrix-7212, plain, ( ( hAPP(c_List_Oset(tc_List_Olist(_u17375)), c_Enum_On__lists(_u17375, _u17376, _u17377)) = hAPP(c_Set_OCollect(tc_List_Olist(_u17375)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17375), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u17375)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17375), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17375)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17375)))), _u17376))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17375), tc_fun(_u17375, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u17375, tc_HOL_Obool), tc_fun(tc_fun(_u17375, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u17375)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u17375, tc_HOL_Obool))), c_List_Oset(_u17375))), hAPP(c_List_Oset(_u17375), _u17377))))) )).
% 19.53/19.78 cnf(matrix-7213, plain, ( ( c_Enum_Oenum__the(_u17378, _u17379) = c_HOL_OThe(_u17378, _u17379)) )).
% 19.53/19.78 cnf(matrix-7214, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17380), _u17381)) | hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u17380)), c_Enum_On__lists(_u17380, _u17382, _u17381))) )).
% 19.53/19.78 cnf(matrix-7215, plain, ( ( c_Enum_On__lists(_u17383, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u17384) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17383)), c_List_Olist_ONil(_u17383)), c_List_Olist_ONil(tc_List_Olist(_u17383)))) )).
% 19.53/19.78 cnf(matrix-7216, plain, ( ( _u17387 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Enum_On__lists(_u17389, _u17387, c_List_Olist_ONil(_u17389)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17389)), c_List_Olist_ONil(_u17389)), c_List_Olist_ONil(tc_List_Olist(_u17389)))) )).
% 19.53/19.78 cnf(matrix-7217, plain, ( ( _u17388 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Enum_On__lists(_u17390, _u17388, c_List_Olist_ONil(_u17390)) = c_List_Olist_ONil(tc_List_Olist(_u17390))) )).
% 19.53/19.78 cnf(matrix-7218, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17391))), c_Enum_On__lists(_u17391, _u17392, _u17393)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17391)), _u17393)), _u17392)) )).
% 19.53/19.78 cnf(matrix-7219, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17394)), _u17395), hAPP(c_List_Oset(tc_List_Olist(_u17394)), c_Enum_On__lists(_u17394, _u17396, _u17397)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17394)), _u17395) = _u17396) )).
% 19.53/19.78 cnf(matrix-7220, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17399)), _u17401) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17400)), _u17402)) | c_List_Olist__all2(_u17399, _u17400, _u17403, _u17401, _u17402) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17399, _u17400)), skolem432(_u17403, _u17402, _u17401, _u17400, _u17399)), hAPP(c_List_Oset(tc_prod(_u17399, _u17400)), hAPP(hAPP(c_List_Ozip(_u17399, _u17400), _u17401), _u17402)))) )).
% 19.53/19.78 cnf(matrix-7221, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17399)), _u17401) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17400)), _u17402)) | c_List_Olist__all2(_u17399, _u17400, _u17403, _u17401, _u17402) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u17399, _u17400, tc_HOL_Obool), _u17403), skolem432(_u17403, _u17402, _u17401, _u17400, _u17399))) )).
% 19.53/19.78 cnf(matrix-7222, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17405), _u17408), hAPP(c_List_Oset(_u17405), _u17406))) | hBOOL(hAPP(_u17407, _u17408)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem433(_u17408, _u17407, _u17406, _u17405)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17405)), _u17406))) )).
% 19.53/19.78 cnf(matrix-7223, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17405), _u17408), hAPP(c_List_Oset(_u17405), _u17406))) | hBOOL(hAPP(_u17407, _u17408)) | ~hBOOL(hAPP(_u17407, hAPP(hAPP(c_List_Onth(_u17405), _u17406), skolem433(_u17408, _u17407, _u17406, _u17405)))) )).
% 19.53/19.78 cnf(matrix-7224, plain, ( ~c_Finite__Set_Ofun__left__comm(_u17409, _u17410, _u17411) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u17409, _u17410, _u17411), _u17412), hAPP(c_List_Oset(_u17409), _u17413)) = hAPP(c_List_Ofoldl(_u17410, _u17409, hAPP(c_COMBC(_u17409, _u17410, _u17410), _u17411), _u17412), c_List_Oremdups(_u17409, _u17413))) )).
% 19.53/19.78 cnf(matrix-7225, plain, ( ~c_Fun_Oinj__on(_u17414, _u17415, _u17416, hAPP(hAPP(c_Set_Oinsert(_u17414), _u17417), hAPP(c_List_Oset(_u17414), _u17418))) | ( hAPP(hAPP(c_List_Omap(_u17414, _u17415), _u17416), hAPP(c_List_OremoveAll(_u17414, _u17417), _u17418)) = hAPP(c_List_OremoveAll(_u17415, hAPP(_u17416, _u17417)), hAPP(hAPP(c_List_Omap(_u17414, _u17415), _u17416), _u17418))) )).
% 19.53/19.78 cnf(matrix-7226, plain, ( hBOOL(hAPP(c_List_Odistinct(_u17419), c_List_Oremdups(_u17419, _u17420))) )).
% 19.53/19.78 cnf(matrix-7227, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17421)), c_List_Oremdups(_u17421, _u17422))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17421)), _u17422))) )).
% 19.53/19.78 cnf(matrix-7228, plain, ( ( c_List_Oremdups(_u17425, _u17427) != _u17427) | hBOOL(hAPP(c_List_Odistinct(_u17425), _u17427)) )).
% 19.53/19.78 cnf(matrix-7229, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17426), _u17428)) | ( c_List_Oremdups(_u17426, _u17428) = _u17428) )).
% 19.53/19.78 cnf(matrix-7230, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17429), _u17430)) | hBOOL(hAPP(c_List_Odistinct(_u17429), hAPP(c_List_OremoveAll(_u17429, _u17431), _u17430))) )).
% 19.53/19.78 cnf(matrix-7231, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17432), _u17433)) | ( c_List_Oremdups(_u17432, _u17433) = _u17433) )).
% 19.53/19.78 cnf(matrix-7232, plain, ( ( hAPP(c_List_Oset(_u17434), c_List_Oremdups(_u17434, _u17435)) = hAPP(c_List_Oset(_u17434), _u17435)) )).
% 19.53/19.78 cnf(matrix-7233, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17438)), c_List_Oremdups(_u17438, _u17440)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17438)), _u17440)) | ( c_List_Oremdups(_u17438, _u17440) = _u17440) )).
% 19.53/19.78 cnf(matrix-7234, plain, ( ( c_List_Oremdups(_u17439, _u17441) != _u17441) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17439)), c_List_Oremdups(_u17439, _u17441)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17439)), _u17441)) )).
% 19.53/19.78 cnf(matrix-7235, plain, ( ( c_List_Oremdups(_u17442, c_List_Oremdups(_u17442, _u17443)) = c_List_Oremdups(_u17442, _u17443)) )).
% 19.53/19.78 cnf(matrix-7236, plain, ( ( c_List_Oremdups(_u17444, c_List_Olist_ONil(_u17444)) = c_List_Olist_ONil(_u17444)) )).
% 19.53/19.78 cnf(matrix-7237, plain, ( ( c_List_Olist_ONil(_u17447) != c_List_Oremdups(_u17447, _u17449)) | ( _u17449 = c_List_Olist_ONil(_u17447)) )).
% 19.53/19.78 cnf(matrix-7238, plain, ( ( _u17450 != c_List_Olist_ONil(_u17448)) | ( c_List_Olist_ONil(_u17448) = c_List_Oremdups(_u17448, _u17450)) )).
% 19.53/19.78 cnf(matrix-7239, plain, ( ( hAPP(c_List_OremoveAll(_u17451, _u17452), c_List_Olist_ONil(_u17451)) = c_List_Olist_ONil(_u17451)) )).
% 19.53/19.78 cnf(matrix-7240, plain, ( ( c_List_Oremdups(_u17455, _u17457) != c_List_Olist_ONil(_u17455)) | ( _u17457 = c_List_Olist_ONil(_u17455)) )).
% 19.53/19.78 cnf(matrix-7241, plain, ( ( _u17458 != c_List_Olist_ONil(_u17456)) | ( c_List_Oremdups(_u17456, _u17458) = c_List_Olist_ONil(_u17456)) )).
% 19.53/19.78 cnf(matrix-7242, plain, ( ( _u17463 != _u17465) | ( hAPP(c_List_OremoveAll(_u17467, _u17463), hAPP(hAPP(c_List_Olist_OCons(_u17467), _u17465), _u17469)) = hAPP(c_List_OremoveAll(_u17467, _u17463), _u17469)) )).
% 19.53/19.78 cnf(matrix-7243, plain, ( ( _u17464 = _u17466) | ( hAPP(c_List_OremoveAll(_u17468, _u17464), hAPP(hAPP(c_List_Olist_OCons(_u17468), _u17466), _u17470)) = hAPP(hAPP(c_List_Olist_OCons(_u17468), _u17466), hAPP(c_List_OremoveAll(_u17468, _u17464), _u17470))) )).
% 19.53/19.78 cnf(matrix-7244, plain, ( ( hAPP(c_List_OremoveAll(_u17471, _u17472), hAPP(hAPP(c_List_Oappend(_u17471), _u17473), _u17474)) = hAPP(hAPP(c_List_Oappend(_u17471), hAPP(c_List_OremoveAll(_u17471, _u17472), _u17473)), hAPP(c_List_OremoveAll(_u17471, _u17472), _u17474))) )).
% 19.53/19.78 cnf(matrix-7245, plain, ( ( c_List_Oremdups(_u17475, hAPP(hAPP(c_List_Omap(_u17476, _u17475), _u17477), c_List_Oremdups(_u17476, _u17478))) = c_List_Oremdups(_u17475, hAPP(hAPP(c_List_Omap(_u17476, _u17475), _u17477), _u17478))) )).
% 19.53/19.78 cnf(matrix-7246, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17479), _u17480)) | ( c_List_Oremove1(_u17479, _u17481, c_List_Oremdups(_u17479, _u17480)) = c_List_Oremdups(_u17479, c_List_Oremove1(_u17479, _u17481, _u17480))) )).
% 19.53/19.78 cnf(matrix-7247, plain, ( hBOOL(hAPP(hAPP(c_member(_u17482), _u17483), hAPP(c_List_Oset(_u17482), _u17484))) | ( hAPP(c_List_OremoveAll(_u17482, _u17483), _u17484) = _u17484) )).
% 19.53/19.78 cnf(matrix-7248, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17485), _u17486)) | ( c_List_Oremove1(_u17485, _u17487, _u17486) = hAPP(c_List_OremoveAll(_u17485, _u17487), _u17486)) )).
% 19.53/19.78 cnf(matrix-7249, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17491), _u17493), hAPP(c_List_Oset(_u17491), _u17495))) | ( c_List_Oremdups(_u17491, hAPP(hAPP(c_List_Olist_OCons(_u17491), _u17493), _u17495)) = c_List_Oremdups(_u17491, _u17495)) )).
% 19.53/19.78 cnf(matrix-7250, plain, ( hBOOL(hAPP(hAPP(c_member(_u17492), _u17494), hAPP(c_List_Oset(_u17492), _u17496))) | ( c_List_Oremdups(_u17492, hAPP(hAPP(c_List_Olist_OCons(_u17492), _u17494), _u17496)) = hAPP(hAPP(c_List_Olist_OCons(_u17492), _u17494), c_List_Oremdups(_u17492, _u17496))) )).
% 19.53/19.78 cnf(matrix-7251, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17497)), c_List_Oremdups(_u17497, _u17498)) = hAPP(c_Finite__Set_Ocard(_u17497), hAPP(c_List_Oset(_u17497), _u17498))) )).
% 19.53/19.78 cnf(matrix-7252, plain, ( ~c_Fun_Oinj__on(_u17499, _u17500, _u17501, c_Orderings_Otop__class_Otop(tc_fun(_u17499, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u17499, _u17500), _u17501), hAPP(c_List_OremoveAll(_u17499, _u17502), _u17503)) = hAPP(c_List_OremoveAll(_u17500, hAPP(_u17501, _u17502)), hAPP(hAPP(c_List_Omap(_u17499, _u17500), _u17501), _u17503))) )).
% 19.53/19.78 cnf(matrix-7253, plain, ( ( hAPP(c_List_Oset(_u17504), hAPP(c_List_OremoveAll(_u17504, _u17505), _u17506)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17504, tc_HOL_Obool)), hAPP(c_List_Oset(_u17504), _u17506)), hAPP(hAPP(c_Set_Oinsert(_u17504), _u17505), c_Orderings_Obot__class_Obot(tc_fun(_u17504, tc_HOL_Obool))))) )).
% 19.53/19.78 cnf(matrix-7254, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17507)), c_List_Oremdups(_u17507, c_List_Oconcat(_u17507, _u17508))) = hAPP(c_Finite__Set_Ocard(_u17507), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u17507), tc_fun(_u17507, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u17507)), _u17508)), c_List_Oset(_u17507)))) )).
% 19.53/19.78 cnf(matrix-7255, plain, ( ~class_Orderings_Olinorder(_u17509) | ( c_List_Olinorder__class_Osorted__list__of__set(_u17509, hAPP(c_List_Oset(_u17509), _u17510)) = c_List_Olinorder__class_Osort__key(_u17509, _u17509, c_COMBI(_u17509), c_List_Oremdups(_u17509, _u17510))) )).
% 19.53/19.78 cnf(matrix-7256, plain, ( ( c_List_Oconcat(_u17511, _u17512) = hAPP(c_List_Ofoldl(tc_List_Olist(_u17511), tc_List_Olist(_u17511), c_List_Oappend(_u17511), c_List_Olist_ONil(_u17511)), _u17512)) )).
% 19.53/19.78 cnf(matrix-7257, plain, ( ~class_Orderings_Olinorder(_u17513) | ( c_List_Olinorder__class_Osort__key(_u17514, _u17513, _u17515, c_List_Olist_ONil(_u17514)) = c_List_Olist_ONil(_u17514)) )).
% 19.53/19.78 cnf(matrix-7258, plain, ( ( hAPP(c_List_Ofoldl(tc_List_Olist(_u17516), tc_List_Olist(_u17516), c_List_Oappend(_u17516), _u17517), _u17518) = hAPP(hAPP(c_List_Oappend(_u17516), _u17517), c_List_Oconcat(_u17516, _u17518))) )).
% 19.53/19.78 cnf(matrix-7259, plain, ( ~class_Orderings_Olinorder(_u17519) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17520)), c_List_Olinorder__class_Osort__key(_u17520, _u17519, _u17521, _u17522)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17520)), _u17522)) )).
% 19.53/19.78 cnf(matrix-7260, plain, ( ~class_Orderings_Olinorder(_u17523) | ( hAPP(c_List_Oset(_u17524), c_List_Olinorder__class_Osort__key(_u17524, _u17523, _u17525, _u17526)) = hAPP(c_List_Oset(_u17524), _u17526)) )).
% 19.53/19.78 cnf(matrix-7261, plain, ( ~class_Orderings_Olinorder(_u17527) | ~hBOOL(hAPP(c_List_Odistinct(_u17528), c_List_Olinorder__class_Osort__key(_u17528, _u17527, _u17529, _u17530))) | hBOOL(hAPP(c_List_Odistinct(_u17528), _u17530)) )).
% 19.53/19.78 cnf(matrix-7262, plain, ( ~class_Orderings_Olinorder(_u17527) | ~hBOOL(hAPP(c_List_Odistinct(_u17528), _u17530)) | hBOOL(hAPP(c_List_Odistinct(_u17528), c_List_Olinorder__class_Osort__key(_u17528, _u17527, _u17529, _u17530))) )).
% 19.53/19.78 cnf(matrix-7263, plain, ( ( c_List_Oconcat(_u17531, c_List_Olist_ONil(tc_List_Olist(_u17531))) = c_List_Olist_ONil(_u17531)) )).
% 19.53/19.78 cnf(matrix-7264, plain, ( ( c_List_Oconcat(_u17532, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17532)), _u17533), _u17534)) = hAPP(hAPP(c_List_Oappend(_u17532), _u17533), c_List_Oconcat(_u17532, _u17534))) )).
% 19.53/19.78 cnf(matrix-7265, plain, ( ( c_List_Olist_ONil(_u17539) != c_List_Oconcat(_u17539, _u17541)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17539)), _u17535), hAPP(c_List_Oset(tc_List_Olist(_u17539)), _u17541))) | ( _u17535 = c_List_Olist_ONil(_u17539)) )).
% 19.53/19.78 cnf(matrix-7266, plain, ( ( c_List_Olist_ONil(_u17540) = c_List_Oconcat(_u17540, _u17542)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17540)), skolem434(_u17542, _u17540)), hAPP(c_List_Oset(tc_List_Olist(_u17540)), _u17542))) )).
% 19.53/19.78 cnf(matrix-7267, plain, ( ( c_List_Olist_ONil(_u17540) = c_List_Oconcat(_u17540, _u17542)) | ( skolem434(_u17542, _u17540) != c_List_Olist_ONil(_u17540)) )).
% 19.53/19.78 cnf(matrix-7268, plain, ( ( c_List_Oconcat(_u17547, _u17549) != c_List_Olist_ONil(_u17547)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17547)), _u17543), hAPP(c_List_Oset(tc_List_Olist(_u17547)), _u17549))) | ( _u17543 = c_List_Olist_ONil(_u17547)) )).
% 19.53/19.78 cnf(matrix-7269, plain, ( ( c_List_Oconcat(_u17548, _u17550) = c_List_Olist_ONil(_u17548)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17548)), skolem435(_u17550, _u17548)), hAPP(c_List_Oset(tc_List_Olist(_u17548)), _u17550))) )).
% 19.53/19.78 cnf(matrix-7270, plain, ( ( c_List_Oconcat(_u17548, _u17550) = c_List_Olist_ONil(_u17548)) | ( skolem435(_u17550, _u17548) != c_List_Olist_ONil(_u17548)) )).
% 19.53/19.78 cnf(matrix-7271, plain, ( ( hAPP(hAPP(c_List_Omap(_u17551, _u17552), _u17553), c_List_Oconcat(_u17551, _u17554)) = c_List_Oconcat(_u17552, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17551), tc_List_Olist(_u17552)), hAPP(c_List_Omap(_u17551, _u17552), _u17553)), _u17554))) )).
% 19.53/19.78 cnf(matrix-7272, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17555)), c_List_Oconcat(_u17555, _u17556)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17555), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u17555))), _u17556))) )).
% 19.53/19.78 cnf(matrix-7273, plain, ( ( hAPP(c_List_Oset(_u17557), c_List_Oconcat(_u17557, _u17558)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u17557), tc_fun(_u17557, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u17557)), _u17558)), c_List_Oset(_u17557))) )).
% 19.53/19.78 cnf(matrix-7274, plain, ( ~class_Orderings_Olinorder(_u17559) | ( c_List_Olinorder__class_Osort__key(_u17560, _u17559, _u17561, hAPP(hAPP(c_List_Olist_OCons(_u17560), _u17562), _u17563)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17560, _u17559, _u17561), _u17562), c_List_Olinorder__class_Osort__key(_u17560, _u17559, _u17561, _u17563))) )).
% 19.53/19.78 cnf(matrix-7275, plain, ( ( c_List_Oconcat(_u17564, hAPP(hAPP(c_List_Oappend(tc_List_Olist(_u17564)), _u17565), _u17566)) = hAPP(hAPP(c_List_Oappend(_u17564), c_List_Oconcat(_u17564, _u17565)), c_List_Oconcat(_u17564, _u17566))) )).
% 19.53/19.78 cnf(matrix-7276, plain, ( ~class_Orderings_Olinorder(_u17567) | ( c_List_Olinorder__class_Osort__key(_u17567, _u17567, c_COMBI(_u17567), _u17568) = hAPP(c_List_Ofoldl(tc_List_Olist(_u17567), _u17567, hAPP(c_COMBC(_u17567, tc_List_Olist(_u17567), tc_List_Olist(_u17567)), c_List_Olinorder__class_Oinsort__key(_u17567, _u17567, c_COMBI(_u17567))), c_List_Olist_ONil(_u17567)), _u17568)) )).
% 19.53/19.78 cnf(matrix-7277, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17570), tc_List_Olist(_u17570))), skolem436(_u17572, _u17571, _u17570)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u17570), tc_List_Olist(_u17570))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u17570), tc_List_Olist(_u17570)), _u17571), _u17572)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17570))), _u17571) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17570))), _u17572)) | ( c_List_Oconcat(_u17570, _u17571) != c_List_Oconcat(_u17570, _u17572)) | ( _u17571 = _u17572) )).
% 19.53/19.78 cnf(matrix-7278, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17570), tc_List_Olist(_u17570))), skolem436(_u17572, _u17571, _u17570)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u17570), tc_List_Olist(_u17570))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u17570), tc_List_Olist(_u17570)), _u17571), _u17572)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17570))), _u17571) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17570))), _u17572)) | ( _u17571 != _u17572) | ( c_List_Oconcat(_u17570, _u17571) = c_List_Oconcat(_u17570, _u17572)) )).
% 19.53/19.78 cnf(matrix-7279, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17570), tc_List_Olist(_u17570), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17570), tc_fun(tc_List_Olist(_u17570), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17570), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17570), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17570), tc_HOL_Obool)), tc_List_Olist(_u17570)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17570))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17570)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17570))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17570)))), skolem436(_u17572, _u17571, _u17570))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17570))), _u17571) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17570))), _u17572)) | ( c_List_Oconcat(_u17570, _u17571) != c_List_Oconcat(_u17570, _u17572)) | ( _u17571 = _u17572) )).
% 19.53/19.78 cnf(matrix-7280, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17570), tc_List_Olist(_u17570), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17570), tc_fun(tc_List_Olist(_u17570), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17570), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17570), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17570), tc_HOL_Obool)), tc_List_Olist(_u17570)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17570))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17570)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17570))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17570)))), skolem436(_u17572, _u17571, _u17570))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17570))), _u17571) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17570))), _u17572)) | ( _u17571 != _u17572) | ( c_List_Oconcat(_u17570, _u17571) = c_List_Oconcat(_u17570, _u17572)) )).
% 19.53/19.78 cnf(matrix-7281, plain, ( ( c_List_Oconcat(_u17574, _u17575) != c_List_Oconcat(_u17574, _u17576)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17574))), _u17575) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17574))), _u17576)) | ( _u17575 = _u17576) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17574), tc_List_Olist(_u17574))), skolem437(_u17576, _u17575, _u17574)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u17574), tc_List_Olist(_u17574))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u17574), tc_List_Olist(_u17574)), _u17575), _u17576)))) )).
% 19.53/19.78 cnf(matrix-7282, plain, ( ( c_List_Oconcat(_u17574, _u17575) != c_List_Oconcat(_u17574, _u17576)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17574))), _u17575) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17574))), _u17576)) | ( _u17575 = _u17576) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u17574), tc_List_Olist(_u17574), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17574), tc_fun(tc_List_Olist(_u17574), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17574), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u17574), tc_Nat_Onat), tc_fun(tc_List_Olist(_u17574), tc_HOL_Obool)), tc_List_Olist(_u17574)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17574))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u17574)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u17574))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u17574)))), skolem437(_u17576, _u17575, _u17574))) )).
% 19.53/19.78 cnf(matrix-7283, plain, ( ( c_List_Oconcat(_u17577, hAPP(hAPP(c_List_Omap(_u17578, tc_List_Olist(_u17577)), hAPP(hAPP(c_COMBC(_u17578, tc_List_Olist(_u17577), tc_List_Olist(_u17577)), hAPP(hAPP(c_COMBB(_u17577, tc_fun(tc_List_Olist(_u17577), tc_List_Olist(_u17577)), _u17578), c_List_Olist_OCons(_u17577)), _u17579)), c_List_Olist_ONil(_u17577))), _u17580)) = hAPP(hAPP(c_List_Omap(_u17578, _u17577), _u17579), _u17580)) )).
% 19.53/19.78 cnf(matrix-7284, plain, ( ( c_Enum_On__lists(_u17581, hAPP(c_Nat_OSuc, _u17582), _u17583) = c_List_Oconcat(tc_List_Olist(_u17581), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17581), tc_List_Olist(tc_List_Olist(_u17581))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17581), tc_List_Olist(_u17581), tc_List_Olist(tc_List_Olist(_u17581))), hAPP(hAPP(c_COMBB(tc_fun(_u17581, tc_List_Olist(_u17581)), tc_fun(tc_List_Olist(_u17581), tc_List_Olist(tc_List_Olist(_u17581))), tc_List_Olist(_u17581)), c_List_Omap(_u17581, tc_List_Olist(_u17581))), hAPP(c_COMBC(_u17581, tc_List_Olist(_u17581), tc_List_Olist(_u17581)), c_List_Olist_OCons(_u17581)))), _u17583)), c_Enum_On__lists(_u17581, _u17582, _u17583)))) )).
% 19.53/19.78 cnf(matrix-7285, plain, ( ( c_List_Otranspose(_u17584, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17584)), hAPP(hAPP(c_List_Olist_OCons(_u17584), _u17585), _u17586)), _u17587)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17584)), hAPP(hAPP(c_List_Olist_OCons(_u17584), _u17585), c_List_Oconcat(_u17584, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17584), tc_List_Olist(_u17584)), c_List_Olist_Olist__case(tc_List_Olist(_u17584), _u17584, c_List_Olist_ONil(_u17584), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17584), tc_fun(tc_List_Olist(_u17584), tc_List_Olist(_u17584)), _u17584), c_COMBK(tc_List_Olist(_u17584), tc_List_Olist(_u17584))), hAPP(hAPP(c_COMBC(_u17584, tc_List_Olist(_u17584), tc_List_Olist(_u17584)), c_List_Olist_OCons(_u17584)), c_List_Olist_ONil(_u17584))))), _u17587)))), c_List_Otranspose(_u17584, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17584)), _u17586), c_List_Oconcat(tc_List_Olist(_u17584), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17584), tc_List_Olist(tc_List_Olist(_u17584))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u17584)), _u17584, c_List_Olist_ONil(tc_List_Olist(_u17584)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u17584), tc_List_Olist(tc_List_Olist(_u17584))), _u17584), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17584), tc_List_Olist(tc_List_Olist(_u17584)), tc_List_Olist(tc_List_Olist(_u17584))), c_List_Olist_OCons(tc_List_Olist(_u17584))), c_List_Olist_ONil(tc_List_Olist(_u17584)))))), _u17587)))))) )).
% 19.53/19.78 cnf(matrix-7286, plain, ( ( c_List_Oconcat(_u17588, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17588), tc_List_Olist(_u17588)), c_List_Olist_Olist__case(tc_List_Olist(_u17588), _u17588, c_List_Olist_ONil(_u17588), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17588), tc_fun(tc_List_Olist(_u17588), tc_List_Olist(_u17588)), _u17588), c_COMBK(tc_List_Olist(_u17588), tc_List_Olist(_u17588))), hAPP(hAPP(c_COMBC(_u17588, tc_List_Olist(_u17588), tc_List_Olist(_u17588)), c_List_Olist_OCons(_u17588)), c_List_Olist_ONil(_u17588))))), _u17589)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17588), _u17588), c_List_Ohd(_u17588)), hAPP(c_List_Ofilter(tc_List_Olist(_u17588), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17588)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17588), tc_List_Olist(_u17588), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17588)))), _u17589))) )).
% 19.53/19.78 cnf(matrix-7287, plain, ( ( hAPP(c_List_Ofilter(_u17590, _u17591), c_List_Oconcat(_u17590, _u17592)) = c_List_Oconcat(_u17590, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17590), tc_List_Olist(_u17590)), c_List_Ofilter(_u17590, _u17591)), _u17592))) )).
% 19.53/19.78 cnf(matrix-7288, plain, ( ~class_Orderings_Olinorder(_u17593) | ( hAPP(c_List_Ofilter(_u17594, _u17595), c_List_Olinorder__class_Osort__key(_u17594, _u17593, _u17596, _u17597)) = c_List_Olinorder__class_Osort__key(_u17594, _u17593, _u17596, hAPP(c_List_Ofilter(_u17594, _u17595), _u17597))) )).
% 19.53/19.78 cnf(matrix-7289, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17598), _u17599)) | hBOOL(hAPP(c_List_Odistinct(_u17598), hAPP(c_List_Ofilter(_u17598, _u17600), _u17599))) )).
% 19.53/19.78 cnf(matrix-7290, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17601)), hAPP(c_List_Ofilter(_u17601, _u17602), _u17603))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17601)), hAPP(c_List_Ofilter(_u17601, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17601), c_fNot), _u17602)), _u17603))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17601)), _u17603)) )).
% 19.53/19.78 cnf(matrix-7291, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17604, tc_HOL_Obool)), hAPP(c_List_Oset(_u17604), hAPP(c_List_Ofilter(_u17604, _u17605), _u17606))), hAPP(c_List_Oset(_u17604), _u17606))) )).
% 19.53/19.78 cnf(matrix-7292, plain, ( ( hAPP(c_List_Ofilter(_u17612, _u17614), _u17616) != _u17616) | ~hBOOL(hAPP(hAPP(c_member(_u17612), _u17607), hAPP(c_List_Oset(_u17612), _u17616))) | hBOOL(hAPP(_u17614, _u17607)) )).
% 19.53/19.78 cnf(matrix-7293, plain, ( ( hAPP(c_List_Ofilter(_u17613, _u17615), _u17617) = _u17617) | hBOOL(hAPP(hAPP(c_member(_u17613), skolem438(_u17617, _u17615, _u17613)), hAPP(c_List_Oset(_u17613), _u17617))) )).
% 19.53/19.78 cnf(matrix-7294, plain, ( ( hAPP(c_List_Ofilter(_u17613, _u17615), _u17617) = _u17617) | ~hBOOL(hAPP(_u17615, skolem438(_u17617, _u17615, _u17613))) )).
% 19.53/19.78 cnf(matrix-7295, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17618)), hAPP(c_List_Ofilter(_u17618, _u17619), _u17620))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17618)), _u17620))) )).
% 19.53/19.78 cnf(matrix-7296, plain, ( ( hAPP(c_List_Ofilter(_u17621, _u17622), hAPP(c_List_Ofilter(_u17621, _u17623), _u17624)) = hAPP(c_List_Ofilter(_u17621, hAPP(hAPP(c_COMBS(_u17621, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17621), c_fconj), _u17623)), _u17622)), _u17624)) )).
% 19.53/19.78 cnf(matrix-7297, plain, ( hBOOL(hAPP(_u17625, _u17626)) | ( c_List_Oremove1(_u17627, _u17626, hAPP(c_List_Ofilter(_u17627, _u17625), _u17628)) = hAPP(c_List_Ofilter(_u17627, _u17625), _u17628)) )).
% 19.53/19.78 cnf(matrix-7298, plain, ( ( hAPP(c_List_Ofilter(_u17629, _u17630), c_List_Oremove1(_u17629, _u17631, _u17632)) = c_List_Oremove1(_u17629, _u17631, hAPP(c_List_Ofilter(_u17629, _u17630), _u17632))) )).
% 19.53/19.78 cnf(matrix-7299, plain, ( ~class_Orderings_Olinorder(_u17633) | hBOOL(hAPP(_u17634, _u17635)) | ( hAPP(c_List_Ofilter(_u17636, _u17634), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17636, _u17633, _u17637), _u17635), _u17638)) = hAPP(c_List_Ofilter(_u17636, _u17634), _u17638)) )).
% 19.53/19.78 cnf(matrix-7300, plain, ( ( hAPP(c_Product__Type_Ofst(tc_List_Olist(_u17639), tc_List_Olist(_u17639)), c_List_Opartition(_u17639, _u17640, _u17641)) = hAPP(c_List_Ofilter(_u17639, _u17640), _u17641)) )).
% 19.53/19.78 cnf(matrix-7301, plain, ( ( hAPP(c_Product__Type_Osnd(tc_List_Olist(_u17642), tc_List_Olist(_u17642)), c_List_Opartition(_u17642, _u17643, _u17644)) = hAPP(c_List_Ofilter(_u17642, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u17642, c_fNot), _u17643)), _u17644)) )).
% 19.53/19.78 cnf(matrix-7302, plain, ( ( c_List_Opartition(_u17645, _u17646, _u17647) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17645), tc_List_Olist(_u17645)), hAPP(c_List_Ofilter(_u17645, _u17646), _u17647)), hAPP(c_List_Ofilter(_u17645, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u17645, c_fNot), _u17646)), _u17647))) )).
% 19.53/19.78 cnf(matrix-7303, plain, ( ( hAPP(c_List_Ofilter(_u17648, _u17649), hAPP(hAPP(c_List_Omap(_u17650, _u17648), _u17651), _u17652)) = hAPP(hAPP(c_List_Omap(_u17650, _u17648), _u17651), hAPP(c_List_Ofilter(_u17650, hAPP(c_Fun_Ocomp(_u17648, tc_HOL_Obool, _u17650, _u17649), _u17651)), _u17652))) )).
% 19.53/19.78 cnf(matrix-7304, plain, ( ( c_List_Otranspose(_u17653, c_List_Olist_ONil(tc_List_Olist(_u17653))) = c_List_Olist_ONil(tc_List_Olist(_u17653))) )).
% 19.53/19.78 cnf(matrix-7305, plain, ( ( hAPP(c_List_Ofilter(_u17654, _u17655), c_List_Olist_ONil(_u17654)) = c_List_Olist_ONil(_u17654)) )).
% 19.53/19.78 cnf(matrix-7306, plain, ( ~hBOOL(hAPP(_u17660, _u17662)) | ( hAPP(c_List_Ofilter(_u17664, _u17660), hAPP(hAPP(c_List_Olist_OCons(_u17664), _u17662), _u17666)) = hAPP(hAPP(c_List_Olist_OCons(_u17664), _u17662), hAPP(c_List_Ofilter(_u17664, _u17660), _u17666))) )).
% 19.53/19.78 cnf(matrix-7307, plain, ( hBOOL(hAPP(_u17661, _u17663)) | ( hAPP(c_List_Ofilter(_u17665, _u17661), hAPP(hAPP(c_List_Olist_OCons(_u17665), _u17663), _u17667)) = hAPP(c_List_Ofilter(_u17665, _u17661), _u17667)) )).
% 19.53/19.78 cnf(matrix-7308, plain, ( ( hAPP(c_List_Ofilter(_u17668, _u17669), hAPP(hAPP(c_List_Oappend(_u17668), _u17670), _u17671)) = hAPP(hAPP(c_List_Oappend(_u17668), hAPP(c_List_Ofilter(_u17668, _u17669), _u17670)), hAPP(c_List_Ofilter(_u17668, _u17669), _u17671))) )).
% 19.53/19.78 cnf(matrix-7309, plain, ( ( hAPP(c_List_Ofilter(_u17677, _u17679), _u17681) != c_List_Olist_ONil(_u17677)) | ~hBOOL(hAPP(hAPP(c_member(_u17677), _u17672), hAPP(c_List_Oset(_u17677), _u17681))) | ~hBOOL(hAPP(_u17679, _u17672)) )).
% 19.53/19.78 cnf(matrix-7310, plain, ( ( hAPP(c_List_Ofilter(_u17678, _u17680), _u17682) = c_List_Olist_ONil(_u17678)) | hBOOL(hAPP(hAPP(c_member(_u17678), skolem439(_u17682, _u17680, _u17678)), hAPP(c_List_Oset(_u17678), _u17682))) )).
% 19.53/19.78 cnf(matrix-7311, plain, ( ( hAPP(c_List_Ofilter(_u17678, _u17680), _u17682) = c_List_Olist_ONil(_u17678)) | hBOOL(hAPP(_u17680, skolem439(_u17682, _u17680, _u17678))) )).
% 19.53/19.78 cnf(matrix-7312, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17683)), hAPP(c_List_Ofilter(_u17683, _u17684), hAPP(hAPP(c_List_Omap(_u17685, _u17683), _u17686), _u17687))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17685)), hAPP(c_List_Ofilter(_u17685, hAPP(c_Fun_Ocomp(_u17683, tc_HOL_Obool, _u17685, _u17684), _u17686)), _u17687))) )).
% 19.53/19.78 cnf(matrix-7313, plain, ( hBOOL(hAPP(_u17688, _u17689)) | ( hAPP(c_List_OremoveAll(_u17690, _u17689), hAPP(c_List_Ofilter(_u17690, _u17688), _u17691)) = hAPP(c_List_Ofilter(_u17690, _u17688), _u17691)) )).
% 19.53/19.78 cnf(matrix-7314, plain, ( ( c_List_Oremdups(_u17692, hAPP(c_List_Ofilter(_u17692, _u17693), _u17694)) = hAPP(c_List_Ofilter(_u17692, _u17693), c_List_Oremdups(_u17692, _u17694))) )).
% 19.53/19.78 cnf(matrix-7315, plain, ( ( c_List_OremoveAll(_u17695, _u17696) = c_List_Ofilter(_u17695, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17695), c_fNot), hAPP(c_fequal, _u17696)))) )).
% 19.53/19.78 cnf(matrix-7316, plain, ( ( c_List_Otranspose(_u17697, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17697)), c_List_Olist_ONil(_u17697)), _u17698)) = c_List_Otranspose(_u17697, _u17698)) )).
% 19.53/19.78 cnf(matrix-7317, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17699), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17700))), c_List_Otranspose(_u17700, _u17701)))) | ( hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17700)), c_List_Otranspose(_u17700, _u17701)), _u17699) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17700), _u17700), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17700), tc_Nat_Onat, _u17700), c_List_Onth(_u17700)), _u17699)), hAPP(c_List_Ofilter(tc_List_Olist(_u17700), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u17700)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17699)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17700)))), _u17701))) )).
% 19.53/19.78 cnf(matrix-7318, plain, ( ( c_List_Otranspose(_u17702, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17703), tc_List_Olist(_u17702)), hAPP(c_List_Omap(_u17703, _u17702), _u17704)), _u17705)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17703), tc_List_Olist(_u17702)), hAPP(c_List_Omap(_u17703, _u17702), _u17704)), c_List_Otranspose(_u17703, _u17705))) )).
% 19.53/19.78 cnf(matrix-7319, plain, ( ( hAPP(c_List_Oset(_u17706), hAPP(c_List_Ofilter(_u17706, _u17707), _u17708)) = hAPP(c_Set_OCollect(_u17706), hAPP(hAPP(c_COMBS(_u17706, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u17706), c_fconj), hAPP(hAPP(c_COMBC(_u17706, tc_fun(_u17706, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17706)), hAPP(c_List_Oset(_u17706), _u17708)))), _u17707))) )).
% 19.53/19.78 cnf(matrix-7320, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17709), _u17710), hAPP(c_List_Oset(_u17709), _u17711))) | hBOOL(hAPP(_u17712, _u17710)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17709)), hAPP(c_List_Ofilter(_u17709, _u17712), _u17711))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17709)), _u17711))) )).
% 19.53/19.78 cnf(matrix-7321, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17713, tc_HOL_Obool)), hAPP(c_List_Oset(_u17713), _u17714)), hAPP(hAPP(c_Set_Oinsert(_u17713), _u17715), c_Orderings_Obot__class_Obot(tc_fun(_u17713, tc_HOL_Obool)))) = hAPP(c_List_Oset(_u17713), hAPP(c_List_Ofilter(_u17713, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u17713), c_fNot), hAPP(hAPP(c_COMBC(_u17713, _u17713, tc_HOL_Obool), c_fequal), _u17715))), _u17714))) )).
% 19.53/19.78 cnf(matrix-7322, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17716), _u17717)) | ( hAPP(c_List_Ofilter(_u17716, hAPP(hAPP(c_COMBC(_u17716, tc_fun(_u17716, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17716)), hAPP(c_List_Oset(_u17716), c_List_Osublist(_u17716, _u17717, _u17718)))), _u17717) = c_List_Osublist(_u17716, _u17717, _u17718)) )).
% 19.53/19.78 cnf(matrix-7323, plain, ( ( c_List_Otranspose(_u17723, _u17725) != c_List_Olist_ONil(tc_List_Olist(_u17723))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17723)), _u17719), hAPP(c_List_Oset(tc_List_Olist(_u17723)), _u17725))) | ( _u17719 = c_List_Olist_ONil(_u17723)) )).
% 19.53/19.78 cnf(matrix-7324, plain, ( ( c_List_Otranspose(_u17724, _u17726) = c_List_Olist_ONil(tc_List_Olist(_u17724))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17724)), skolem440(_u17726, _u17724)), hAPP(c_List_Oset(tc_List_Olist(_u17724)), _u17726))) )).
% 19.53/19.78 cnf(matrix-7325, plain, ( ( c_List_Otranspose(_u17724, _u17726) = c_List_Olist_ONil(tc_List_Olist(_u17724))) | ( skolem440(_u17726, _u17724) != c_List_Olist_ONil(_u17724)) )).
% 19.53/19.78 cnf(matrix-7326, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17727)), hAPP(c_List_Ofilter(_u17727, _u17728), _u17729)) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17727)), _u17729)))), hAPP(hAPP(c_COMBB(_u17727, tc_HOL_Obool, tc_Nat_Onat), _u17728), hAPP(c_List_Onth(_u17727), _u17729)))))) )).
% 19.53/19.78 cnf(matrix-7327, plain, ( ( c_List_Oconcat(tc_List_Olist(_u17730), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17730), tc_List_Olist(tc_List_Olist(_u17730))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u17730)), _u17730, c_List_Olist_ONil(tc_List_Olist(_u17730)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u17730), tc_List_Olist(tc_List_Olist(_u17730))), _u17730), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17730), tc_List_Olist(tc_List_Olist(_u17730)), tc_List_Olist(tc_List_Olist(_u17730))), c_List_Olist_OCons(tc_List_Olist(_u17730))), c_List_Olist_ONil(tc_List_Olist(_u17730)))))), _u17731)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17730), tc_List_Olist(_u17730)), c_List_Otl(_u17730)), hAPP(c_List_Ofilter(tc_List_Olist(_u17730), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17730)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17730), tc_List_Olist(_u17730), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17730)))), _u17731))) )).
% 19.53/19.78 cnf(matrix-7328, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u17732)), c_List_Otranspose__rel(_u17732)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17732)), hAPP(hAPP(c_List_Olist_OCons(_u17732), _u17733), _u17734)), _u17735))) | ( c_List_Otranspose(_u17732, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17732)), hAPP(hAPP(c_List_Olist_OCons(_u17732), _u17733), _u17734)), _u17735)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17732)), hAPP(hAPP(c_List_Olist_OCons(_u17732), _u17733), c_List_Oconcat(_u17732, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17732), tc_List_Olist(_u17732)), c_List_Olist_Olist__case(tc_List_Olist(_u17732), _u17732, c_List_Olist_ONil(_u17732), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17732), tc_fun(tc_List_Olist(_u17732), tc_List_Olist(_u17732)), _u17732), c_COMBK(tc_List_Olist(_u17732), tc_List_Olist(_u17732))), hAPP(hAPP(c_COMBC(_u17732, tc_List_Olist(_u17732), tc_List_Olist(_u17732)), c_List_Olist_OCons(_u17732)), c_List_Olist_ONil(_u17732))))), _u17735)))), c_List_Otranspose(_u17732, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17732)), _u17734), c_List_Oconcat(tc_List_Olist(_u17732), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17732), tc_List_Olist(tc_List_Olist(_u17732))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u17732)), _u17732, c_List_Olist_ONil(tc_List_Olist(_u17732)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u17732), tc_List_Olist(tc_List_Olist(_u17732))), _u17732), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17732), tc_List_Olist(tc_List_Olist(_u17732)), tc_List_Olist(tc_List_Olist(_u17732))), c_List_Olist_OCons(tc_List_Olist(_u17732))), c_List_Olist_ONil(tc_List_Olist(_u17732)))))), _u17735)))))) )).
% 19.53/19.78 cnf(matrix-7329, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u17736)), c_List_Otranspose__rel(_u17736)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17736)), c_List_Olist_ONil(_u17736)), _u17737))) | ( c_List_Otranspose(_u17736, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u17736)), c_List_Olist_ONil(_u17736)), _u17737)) = c_List_Otranspose(_u17736, _u17737)) )).
% 19.53/19.78 cnf(matrix-7330, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u17738, tc_Nat_Onat), _u17738), c_Product__Type_Ofst(_u17738, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u17738, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u17738, tc_Nat_Onat)), _u17739), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_prod(_u17738, tc_Nat_Onat)), c_Nat_OSuc), c_Product__Type_Osnd(_u17738, tc_Nat_Onat)))), hAPP(hAPP(c_List_Ozip(_u17738, tc_Nat_Onat), _u17740), _u17741))) = hAPP(hAPP(c_List_Omap(tc_prod(_u17738, tc_Nat_Onat), _u17738), c_Product__Type_Ofst(_u17738, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u17738, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u17738, tc_Nat_Onat)), _u17739), c_Product__Type_Osnd(_u17738, tc_Nat_Onat))), hAPP(hAPP(c_List_Ozip(_u17738, tc_Nat_Onat), _u17740), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), _u17741))))) )).
% 19.53/19.78 cnf(matrix-7331, plain, ( ( c_Random_Oselect__weight(_u17742, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17742), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u17742, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u17742, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u17742)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u17743)) = c_Random_Oselect__weight(_u17742, _u17743)) )).
% 19.53/19.78 cnf(matrix-7332, plain, ( ( c_Random_Opick(_u17744, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17744), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u17744, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u17744, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u17744)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u17745)) = c_Random_Opick(_u17744, _u17745)) )).
% 19.53/19.78 cnf(matrix-7333, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u17746)), c_List_Otranspose__rel(_u17746)), c_List_Olist_ONil(tc_List_Olist(_u17746)))) | ( c_List_Otranspose(_u17746, c_List_Olist_ONil(tc_List_Olist(_u17746))) = c_List_Olist_ONil(tc_List_Olist(_u17746))) )).
% 19.53/19.78 cnf(matrix-7334, plain, ( ( c_List_Ofoldr(tc_List_Olist(_u17747), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17747)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17747))), c_List_Otranspose(_u17747, _u17748), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17747))), hAPP(c_List_Ofilter(tc_List_Olist(_u17747), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17747)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17747), tc_List_Olist(_u17747), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17747)))), _u17748))) )).
% 19.53/19.78 cnf(matrix-7335, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17749)), _u17750))), c_List_Ofoldr(tc_List_Olist(_u17751), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17751)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17751))), _u17752, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17749)), _u17750)), c_List_Ofoldr(tc_List_Olist(_u17751), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17751)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17751), tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17751)), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17751)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_List_Ofilter(tc_List_Olist(_u17751), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u17751)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17751), tc_List_Olist(_u17751), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u17751)))), _u17752), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 19.53/19.78 cnf(matrix-7336, plain, ( ( c_List_Ofoldr(_u17753, _u17754, _u17755, c_List_Olist_ONil(_u17753), _u17756) = _u17756) )).
% 19.53/19.78 cnf(matrix-7337, plain, ( ( c_List_Ofoldr(_u17757, _u17758, _u17759, hAPP(hAPP(c_List_Olist_OCons(_u17757), _u17760), _u17761), _u17762) = hAPP(hAPP(_u17759, _u17760), c_List_Ofoldr(_u17757, _u17758, _u17759, _u17761, _u17762))) )).
% 19.53/19.78 cnf(matrix-7338, plain, ( ( c_List_Ofoldr(_u17763, _u17764, _u17765, hAPP(hAPP(c_List_Oappend(_u17763), _u17766), _u17767), _u17768) = c_List_Ofoldr(_u17763, _u17764, _u17765, _u17766, c_List_Ofoldr(_u17763, _u17764, _u17765, _u17767, _u17768))) )).
% 19.53/19.78 cnf(matrix-7339, plain, ( ~class_Groups_Oab__semigroup__add(_u17769) | ( c_List_Ofoldr(_u17769, _u17769, c_Groups_Oplus__class_Oplus(_u17769), _u17770, _u17771) = hAPP(c_List_Ofoldl(_u17769, _u17769, c_Groups_Oplus__class_Oplus(_u17769), _u17771), _u17770)) )).
% 19.53/19.78 cnf(matrix-7340, plain, ( ( c_List_Ofoldr(_u17772, _u17773, _u17774, hAPP(hAPP(c_List_Omap(_u17775, _u17772), _u17776), _u17777), _u17778) = c_List_Ofoldr(_u17775, _u17773, hAPP(c_Fun_Ocomp(_u17772, tc_fun(_u17773, _u17773), _u17775, _u17774), _u17776), _u17777, _u17778)) )).
% 19.53/19.78 cnf(matrix-7341, plain, ( ~class_Groups_Omonoid__add(_u17779) | ( hAPP(c_List_Ofoldl(_u17779, _u17779, c_Groups_Oplus__class_Oplus(_u17779), _u17780), _u17781) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17779), _u17780), c_List_Ofoldr(_u17779, _u17779, c_Groups_Oplus__class_Oplus(_u17779), _u17781, c_Groups_Ozero__class_Ozero(_u17779)))) )).
% 19.53/19.78 cnf(matrix-7342, plain, ( ~class_Groups_Omonoid__add(_u17782) | ( hAPP(c_List_Ofoldl(_u17782, _u17782, c_Groups_Oplus__class_Oplus(_u17782), c_Groups_Ozero__class_Ozero(_u17782)), _u17783) = c_List_Ofoldr(_u17782, _u17782, c_Groups_Oplus__class_Oplus(_u17782), _u17783, c_Groups_Ozero__class_Ozero(_u17782))) )).
% 19.53/19.78 cnf(matrix-7343, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17784))), c_List_Otranspose(_u17784, _u17785)) = c_List_Ofoldr(tc_List_Olist(_u17784), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u17784)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u17784))), _u17785, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.53/19.78 cnf(matrix-7344, plain, ( ( c_List_Osublist(_u17786, _u17787, _u17788) = hAPP(hAPP(c_List_Omap(tc_prod(_u17786, tc_Nat_Onat), _u17786), c_Product__Type_Ofst(_u17786, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u17786, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u17786, tc_Nat_Onat), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), tc_prod(_u17786, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u17786, tc_Nat_Onat))), _u17788)), hAPP(hAPP(c_List_Ozip(_u17786, tc_Nat_Onat), _u17787), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17786)), _u17787)))))) )).
% 19.53/19.78 cnf(matrix-7345, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u17789, tc_Nat_Onat), _u17789), c_Product__Type_Ofst(_u17789, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u17789, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u17789, tc_Nat_Onat), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), tc_prod(_u17789, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u17789, tc_Nat_Onat))), _u17790)), hAPP(hAPP(c_List_Ozip(_u17789, tc_Nat_Onat), _u17791), c_List_Oupt(_u17792, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17792), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17789)), _u17791)))))) = hAPP(hAPP(c_List_Omap(tc_prod(_u17789, tc_Nat_Onat), _u17789), c_Product__Type_Ofst(_u17789, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u17789, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u17789, tc_Nat_Onat), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), tc_prod(_u17789, tc_Nat_Onat)), c_member(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u17789, tc_Nat_Onat), tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_prod(_u17789, tc_Nat_Onat)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Product__Type_Osnd(_u17789, tc_Nat_Onat))), _u17792))), _u17790)), hAPP(hAPP(c_List_Ozip(_u17789, tc_Nat_Onat), _u17791), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17789)), _u17791)))))) )).
% 19.53/19.78 cnf(matrix-7346, plain, ( ( hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u17793, _u17794)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u17793), _u17794)) )).
% 19.53/19.78 cnf(matrix-7347, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u17795), _u17796) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u17795, _u17796))) )).
% 19.53/19.78 cnf(matrix-7348, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17797), _u17798)) | ( c_List_Oupt(_u17797, hAPP(c_Nat_OSuc, _u17798)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u17797, _u17798)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17798), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 19.53/19.78 cnf(matrix-7349, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17801), _u17803)) | ( c_List_Oupt(_u17801, hAPP(c_Nat_OSuc, _u17803)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u17801, _u17803)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17803), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 19.53/19.78 cnf(matrix-7350, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17802), _u17804)) | ( c_List_Oupt(_u17802, hAPP(c_Nat_OSuc, _u17804)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 19.53/19.78 cnf(matrix-7351, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17805), _u17806)) | ( c_List_Oupt(_u17805, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17806), _u17807)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u17805, _u17806)), c_List_Oupt(_u17806, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17806), _u17807)))) )).
% 19.53/19.78 cnf(matrix-7352, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17810), _u17812)) | ( c_List_Oupt(_u17810, _u17812) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17810), c_List_Oupt(hAPP(c_Nat_OSuc, _u17810), _u17812))) )).
% 19.53/19.78 cnf(matrix-7353, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17811), _u17813)) | ( c_List_Oupt(_u17811, _u17813) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 19.53/19.78 cnf(matrix-7354, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17814), _u17815)) | ( c_List_Oupt(_u17814, _u17815) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17814), c_List_Oupt(hAPP(c_Nat_OSuc, _u17814), _u17815))) )).
% 19.53/19.78 cnf(matrix-7355, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17816), _u17817)) | ( c_List_Oupt(_u17817, _u17816) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 19.53/19.78 cnf(matrix-7356, plain, ( ( c_List_Oupt(_u17820, _u17822) != c_List_Olist_ONil(tc_Nat_Onat)) | ( _u17822 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17822), _u17820)) )).
% 19.53/19.78 cnf(matrix-7357, plain, ( ( c_List_Oupt(_u17821, _u17823) = c_List_Olist_ONil(tc_Nat_Onat)) | ( _u17823 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.78 cnf(matrix-7358, plain, ( ( c_List_Oupt(_u17821, _u17823) = c_List_Olist_ONil(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17823), _u17821)) )).
% 19.53/19.78 cnf(matrix-7359, plain, ( ( c_List_Oupt(_u17824, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 19.53/19.78 cnf(matrix-7360, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17825), _u17826)), _u17827)) | ( hAPP(hAPP(c_List_Otake(tc_Nat_Onat), _u17826), c_List_Oupt(_u17825, _u17827)) = c_List_Oupt(_u17825, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17825), _u17826))) )).
% 19.53/19.78 cnf(matrix-7361, plain, ( ( c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat, hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u17828), _u17829)) = c_List_Oupt(_u17828, _u17829)) )).
% 19.53/19.78 cnf(matrix-7362, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17830), _u17831)) | ( hAPP(c_List_Ohd(tc_Nat_Onat), c_List_Oupt(_u17830, _u17831)) = _u17830) )).
% 19.53/19.78 cnf(matrix-7363, plain, ( ( hAPP(hAPP(c_List_Odrop(tc_Nat_Onat), _u17832), c_List_Oupt(_u17833, _u17834)) = c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17833), _u17832), _u17834)) )).
% 19.53/19.78 cnf(matrix-7364, plain, ( hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat), c_List_Oupt(_u17835, _u17836))) )).
% 19.53/19.78 cnf(matrix-7365, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), c_List_Oupt(_u17837, _u17838)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17838), _u17837)) )).
% 19.53/19.78 cnf(matrix-7366, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17841)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17843))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17841), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17843)) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17841)), c_List_Oupt(hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17841)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17843)))) )).
% 19.53/19.78 cnf(matrix-7367, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17842)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17844))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17842), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17844)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 19.53/19.78 cnf(matrix-7368, plain, ( ( c_List_Oupt(_u17849, _u17851) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17853), _u17855)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17849), _u17851)) )).
% 19.53/19.78 cnf(matrix-7369, plain, ( ( c_List_Oupt(_u17849, _u17851) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17853), _u17855)) | ( _u17849 = _u17853) )).
% 19.53/19.78 cnf(matrix-7370, plain, ( ( c_List_Oupt(_u17849, _u17851) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17853), _u17855)) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17849), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u17851) = _u17855) )).
% 19.53/19.78 cnf(matrix-7371, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17850), _u17852)) | ( _u17850 != _u17854) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17850), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u17852) != _u17856) | ( c_List_Oupt(_u17850, _u17852) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u17854), _u17856)) )).
% 19.53/19.78 cnf(matrix-7372, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17857), _u17858)) | ( c_List_Olast(tc_Nat_Onat, c_List_Oupt(_u17857, _u17858)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17858), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 19.53/19.78 cnf(matrix-7373, plain, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), c_List_Oupt(_u17859, _u17860)) = c_List_Oupt(hAPP(c_Nat_OSuc, _u17859), hAPP(c_Nat_OSuc, _u17860))) )).
% 19.53/19.78 cnf(matrix-7374, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u17861, _u17862) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u17861, hAPP(c_Nat_OSuc, _u17862)))) )).
% 19.53/19.78 cnf(matrix-7375, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u17863) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u17863))) )).
% 19.53/19.78 cnf(matrix-7376, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17864), _u17865)), _u17866)) | ( hAPP(hAPP(c_List_Onth(tc_Nat_Onat), c_List_Oupt(_u17864, _u17866)), _u17865) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17864), _u17865)) )).
% 19.53/19.78 cnf(matrix-7377, plain, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u17867, _u17868) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u17867), hAPP(c_Nat_OSuc, _u17868)))) )).
% 19.53/19.78 cnf(matrix-7378, plain, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u17869, _u17870) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u17869), _u17870))) )).
% 19.53/19.78 cnf(matrix-7379, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u17871) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u17871)))) )).
% 19.53/19.78 cnf(matrix-7380, plain, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u17872), hAPP(c_List_Onth(_u17872), _u17873)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17872)), _u17873))) = _u17873) )).
% 19.53/19.78 cnf(matrix-7381, plain, ( ~class_Groups_Ocomm__monoid__add(_u17874) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u17874), _u17875), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u17876, _u17877))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17874), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u17874), _u17875), c_List_Oupt(_u17876, _u17877)))) )).
% 19.53/19.78 cnf(matrix-7382, plain, ( ~class_Groups_Ocomm__monoid__add(_u17878) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17878), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u17878), _u17879), c_List_Oupt(_u17880, _u17881))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u17878), _u17879), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u17880, _u17881)))) )).
% 19.53/19.78 cnf(matrix-7383, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17882), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17883), _u17884))) | ( hAPP(hAPP(c_List_Onth(_u17885), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u17885), _u17886), c_List_Oupt(_u17884, _u17883))), _u17882) = hAPP(_u17886, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17884), _u17882))) )).
% 19.53/19.78 cnf(matrix-7384, plain, ( ( _u17888 = c_List_Olist_ONil(tc_List_Olist(_u17889))) | ( c_List_Otranspose(_u17889, _u17888) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u17889)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u17889)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u17889), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u17889)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u17889)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u17889), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17889), tc_fun(tc_Nat_Onat, _u17889), tc_Nat_Onat), c_List_Onth(_u17889)), hAPP(c_List_Onth(tc_List_Olist(_u17889)), _u17888))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17889))), _u17888)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u17890))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem441(_u17890, _u17889, _u17888)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17889))), _u17888))) )).
% 19.53/19.78 cnf(matrix-7385, plain, ( ( _u17888 = c_List_Olist_ONil(tc_List_Olist(_u17889))) | ( c_List_Otranspose(_u17889, _u17888) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u17889)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u17889)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u17889), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u17889)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u17889)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u17889), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17889), tc_fun(tc_Nat_Onat, _u17889), tc_Nat_Onat), c_List_Onth(_u17889)), hAPP(c_List_Onth(tc_List_Olist(_u17889)), _u17888))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17889))), _u17888)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u17890))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17889)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17889)), _u17888), skolem441(_u17890, _u17889, _u17888))) != _u17890) )).
% 19.53/19.78 cnf(matrix-7386, plain, ( ( _u17890 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u17889, _u17888) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u17889)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u17889)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u17889), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u17889)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u17889)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u17889), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17889), tc_fun(tc_Nat_Onat, _u17889), tc_Nat_Onat), c_List_Onth(_u17889)), hAPP(c_List_Onth(tc_List_Olist(_u17889)), _u17888))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17889))), _u17888)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u17890))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem441(_u17890, _u17889, _u17888)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17889))), _u17888))) )).
% 19.53/19.78 cnf(matrix-7387, plain, ( ( _u17890 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u17889, _u17888) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u17889)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u17889)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u17889), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u17889)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u17889)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u17889), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17889), tc_fun(tc_Nat_Onat, _u17889), tc_Nat_Onat), c_List_Onth(_u17889)), hAPP(c_List_Onth(tc_List_Olist(_u17889)), _u17888))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u17889))), _u17888)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u17890))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17889)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u17889)), _u17888), skolem441(_u17890, _u17889, _u17888))) != _u17890) )).
% 19.53/19.78 cnf(matrix-7388, plain, ( ~class_Orderings_Olinorder(_u17891) | ~hBOOL(hAPP(hAPP(c_member(_u17892), _u17893), hAPP(c_List_Oset(_u17892), _u17894))) | ~c_List_Olinorder__class_Osorted(_u17891, hAPP(hAPP(c_List_Omap(_u17892, _u17891), _u17895), _u17894)) | ( hAPP(c_List_Ohd(_u17892), hAPP(c_List_Ofilter(_u17892, hAPP(hAPP(c_COMBB(_u17891, tc_HOL_Obool, _u17892), hAPP(c_fequal, hAPP(_u17895, _u17893))), _u17895)), _u17894)) != _u17893) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17892, _u17891, _u17895), _u17893), c_List_Oremove1(_u17892, _u17893, _u17894)) = _u17894) )).
% 19.53/19.78 cnf(matrix-7389, plain, ( ~class_Orderings_Olinorder(_u17896) | c_List_Olinorder__class_Osorted(_u17896, c_List_Olist_ONil(_u17896)) )).
% 19.53/19.78 cnf(matrix-7390, plain, ( ~class_Orderings_Olinorder(_u17897) | c_List_Olinorder__class_Osorted(_u17897, hAPP(hAPP(c_List_Olist_OCons(_u17897), _u17898), c_List_Olist_ONil(_u17897))) )).
% 19.53/19.78 cnf(matrix-7391, plain, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, c_List_Oupt(_u17899, _u17900)) )).
% 19.53/19.78 cnf(matrix-7392, plain, ( ~class_Orderings_Olinorder(_u17901) | c_List_Olinorder__class_Osorted(_u17901, c_List_Olinorder__class_Osort__key(_u17901, _u17901, c_COMBI(_u17901), _u17902)) )).
% 19.53/19.78 cnf(matrix-7393, plain, ( ~class_Orderings_Olinorder(_u17903) | ~c_List_Olinorder__class_Osorted(_u17903, _u17904) | c_List_Olinorder__class_Osorted(_u17903, c_List_Olinorder__class_Oinsort__insert__key(_u17903, _u17903, c_COMBI(_u17903), _u17905, _u17904)) )).
% 19.53/19.78 cnf(matrix-7394, plain, ( ~class_Orderings_Olinorder(_u17906) | ~c_List_Olinorder__class_Osorted(_u17906, _u17907) | c_List_Olinorder__class_Osorted(_u17906, hAPP(hAPP(c_List_Odrop(_u17906), _u17908), _u17907)) )).
% 19.53/19.78 cnf(matrix-7395, plain, ( c_List_Olinorder__class_Osorted(tc_Int_Oint, c_List_Oupto(_u17909, _u17910)) )).
% 19.53/19.79 cnf(matrix-7396, plain, ( ~class_Orderings_Olinorder(_u17911) | ~c_List_Olinorder__class_Osorted(_u17911, _u17912) | c_List_Olinorder__class_Osorted(_u17911, hAPP(hAPP(c_List_Otake(_u17911), _u17913), _u17912)) )).
% 19.53/19.79 cnf(matrix-7397, plain, ( ~class_Orderings_Olinorder(_u17914) | ~c_List_Olinorder__class_Osorted(_u17914, _u17915) | c_List_Olinorder__class_Osorted(_u17914, c_List_Oremove1(_u17914, _u17916, _u17915)) )).
% 19.53/19.79 cnf(matrix-7398, plain, ( ~class_Orderings_Olinorder(_u17917) | ~c_List_Olinorder__class_Osorted(_u17917, _u17918) | c_List_Olinorder__class_Osorted(_u17917, hAPP(c_List_Otl(_u17917), _u17918)) )).
% 19.53/19.79 cnf(matrix-7399, plain, ( ~class_Orderings_Olinorder(_u17919) | ~c_List_Olinorder__class_Osorted(_u17919, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17919, _u17919, c_COMBI(_u17919)), _u17920), _u17921)) | c_List_Olinorder__class_Osorted(_u17919, _u17921) )).
% 19.53/19.79 cnf(matrix-7400, plain, ( ~class_Orderings_Olinorder(_u17919) | ~c_List_Olinorder__class_Osorted(_u17919, _u17921) | c_List_Olinorder__class_Osorted(_u17919, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17919, _u17919, c_COMBI(_u17919)), _u17920), _u17921)) )).
% 19.53/19.79 cnf(matrix-7401, plain, ( ~class_Orderings_Olinorder(_u17922) | ( _u17923 = c_List_Olist_ONil(_u17922)) | ~c_List_Olinorder__class_Osorted(_u17922, _u17923) | c_List_Olinorder__class_Osorted(_u17922, c_List_Obutlast(_u17922, _u17923)) )).
% 19.53/19.79 cnf(matrix-7402, plain, ( ~class_Orderings_Olinorder(_u17924) | c_List_Olinorder__class_Osorted(_u17924, c_List_Olist_ONil(_u17924)) )).
% 19.53/19.79 cnf(matrix-7403, plain, ( ~class_Orderings_Olinorder(_u17925) | ~c_List_Olinorder__class_Osorted(_u17925, hAPP(hAPP(c_List_Olist_OCons(_u17925), _u17926), hAPP(hAPP(c_List_Olist_OCons(_u17925), _u17927), _u17928))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17925), _u17926), _u17927)) )).
% 19.53/19.79 cnf(matrix-7404, plain, ( ~class_Orderings_Olinorder(_u17925) | ~c_List_Olinorder__class_Osorted(_u17925, hAPP(hAPP(c_List_Olist_OCons(_u17925), _u17926), hAPP(hAPP(c_List_Olist_OCons(_u17925), _u17927), _u17928))) | c_List_Olinorder__class_Osorted(_u17925, hAPP(hAPP(c_List_Olist_OCons(_u17925), _u17927), _u17928)) )).
% 19.53/19.79 cnf(matrix-7405, plain, ( ~class_Orderings_Olinorder(_u17925) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17925), _u17926), _u17927)) | ~c_List_Olinorder__class_Osorted(_u17925, hAPP(hAPP(c_List_Olist_OCons(_u17925), _u17927), _u17928)) | c_List_Olinorder__class_Osorted(_u17925, hAPP(hAPP(c_List_Olist_OCons(_u17925), _u17926), hAPP(hAPP(c_List_Olist_OCons(_u17925), _u17927), _u17928))) )).
% 19.53/19.79 cnf(matrix-7406, plain, ( ~class_Orderings_Olinorder(_u17929) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17929), _u17930), _u17931)) | ~c_List_Olinorder__class_Osorted(_u17929, hAPP(hAPP(c_List_Olist_OCons(_u17929), _u17931), _u17932)) | c_List_Olinorder__class_Osorted(_u17929, hAPP(hAPP(c_List_Olist_OCons(_u17929), _u17930), hAPP(hAPP(c_List_Olist_OCons(_u17929), _u17931), _u17932))) )).
% 19.53/19.79 cnf(matrix-7407, plain, ( ~class_Orderings_Olinorder(_u17933) | ~c_List_Olinorder__class_Osorted(_u17933, _u17934) | c_List_Olinorder__class_Osorted(_u17933, c_List_Oremdups(_u17933, _u17934)) )).
% 19.53/19.79 cnf(matrix-7408, plain, ( ~class_Orderings_Olinorder(_u17935) | ~c_List_Olinorder__class_Osorted(_u17935, _u17936) | ~hBOOL(hAPP(c_List_Odistinct(_u17935), _u17936)) | ~c_List_Olinorder__class_Osorted(_u17935, _u17937) | ~hBOOL(hAPP(c_List_Odistinct(_u17935), _u17937)) | ( hAPP(c_List_Oset(_u17935), _u17936) != hAPP(c_List_Oset(_u17935), _u17937)) | ( _u17936 = _u17937) )).
% 19.53/19.79 cnf(matrix-7409, plain, ( ~class_Orderings_Olinorder(_u17938) | c_List_Olinorder__class_Osorted(_u17938, hAPP(hAPP(c_List_Omap(_u17939, _u17938), _u17940), c_List_Olinorder__class_Osort__key(_u17939, _u17938, _u17940, _u17941))) )).
% 19.53/19.79 cnf(matrix-7410, plain, ( ~class_Orderings_Olinorder(_u17942) | ~c_List_Olinorder__class_Osorted(_u17942, hAPP(hAPP(c_List_Omap(_u17943, _u17942), _u17944), _u17945)) | c_List_Olinorder__class_Osorted(_u17942, hAPP(hAPP(c_List_Omap(_u17943, _u17942), _u17944), c_List_Olinorder__class_Oinsort__insert__key(_u17943, _u17942, _u17944, _u17946, _u17945))) )).
% 19.53/19.79 cnf(matrix-7411, plain, ( ~class_Orderings_Olinorder(_u17947) | ~c_List_Olinorder__class_Osorted(_u17947, hAPP(hAPP(c_List_Omap(_u17948, _u17947), _u17949), _u17950)) | c_List_Olinorder__class_Osorted(_u17947, hAPP(hAPP(c_List_Omap(_u17948, _u17947), _u17949), c_List_Oremove1(_u17948, _u17951, _u17950))) )).
% 19.53/19.79 cnf(matrix-7412, plain, ( ~class_Orderings_Olinorder(_u17952) | ~c_List_Olinorder__class_Osorted(_u17952, hAPP(hAPP(c_List_Omap(_u17953, _u17952), _u17954), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17953, _u17952, _u17954), _u17955), _u17956))) | c_List_Olinorder__class_Osorted(_u17952, hAPP(hAPP(c_List_Omap(_u17953, _u17952), _u17954), _u17956)) )).
% 19.53/19.79 cnf(matrix-7413, plain, ( ~class_Orderings_Olinorder(_u17952) | ~c_List_Olinorder__class_Osorted(_u17952, hAPP(hAPP(c_List_Omap(_u17953, _u17952), _u17954), _u17956)) | c_List_Olinorder__class_Osorted(_u17952, hAPP(hAPP(c_List_Omap(_u17953, _u17952), _u17954), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17953, _u17952, _u17954), _u17955), _u17956))) )).
% 19.53/19.79 cnf(matrix-7414, plain, ( ~class_Orderings_Olinorder(_u17957) | ~c_List_Olinorder__class_Osorted(_u17957, hAPP(hAPP(c_List_Omap(_u17958, _u17957), _u17959), _u17960)) | c_List_Olinorder__class_Osorted(_u17957, hAPP(hAPP(c_List_Omap(_u17958, _u17957), _u17959), hAPP(c_List_Ofilter(_u17958, _u17961), _u17960))) )).
% 19.53/19.79 cnf(matrix-7415, plain, ( ~class_Orderings_Olinorder(_u17962) | c_List_Olinorder__class_Osorted(_u17962, hAPP(hAPP(c_List_Omap(_u17963, _u17962), _u17964), hAPP(c_List_Ofilter(_u17963, hAPP(hAPP(c_COMBC(_u17963, _u17962, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u17962, tc_fun(_u17962, tc_HOL_Obool), _u17963), c_fequal), _u17964)), hAPP(_u17965, _u17966))), _u17966))) )).
% 19.53/19.79 cnf(matrix-7416, plain, ( ~class_Orderings_Olinorder(_u17967) | c_List_Olinorder__class_Osorted(_u17967, hAPP(c_List_Ofilter(_u17967, hAPP(hAPP(c_COMBC(_u17967, _u17967, tc_HOL_Obool), c_fequal), hAPP(_u17968, _u17969))), _u17969)) )).
% 19.53/19.79 cnf(matrix-7417, plain, ( ~class_Orderings_Olinorder(_u17972) | ~c_List_Olinorder__class_Osorted(_u17972, hAPP(hAPP(c_List_Olist_OCons(_u17972), _u17973), _u17974)) | c_List_Olinorder__class_Osorted(_u17972, _u17974) )).
% 19.53/19.79 cnf(matrix-7418, plain, ( ~class_Orderings_Olinorder(_u17972) | ~c_List_Olinorder__class_Osorted(_u17972, hAPP(hAPP(c_List_Olist_OCons(_u17972), _u17973), _u17974)) | ~hBOOL(hAPP(hAPP(c_member(_u17972), _u17970), hAPP(c_List_Oset(_u17972), _u17974))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17972), _u17973), _u17970)) )).
% 19.53/19.79 cnf(matrix-7419, plain, ( ~class_Orderings_Olinorder(_u17972) | c_List_Olinorder__class_Osorted(_u17972, hAPP(hAPP(c_List_Olist_OCons(_u17972), _u17973), _u17974)) | ~c_List_Olinorder__class_Osorted(_u17972, _u17974) | hBOOL(hAPP(hAPP(c_member(_u17972), skolem442(_u17974, _u17973, _u17972)), hAPP(c_List_Oset(_u17972), _u17974))) )).
% 19.53/19.79 cnf(matrix-7420, plain, ( ~class_Orderings_Olinorder(_u17972) | c_List_Olinorder__class_Osorted(_u17972, hAPP(hAPP(c_List_Olist_OCons(_u17972), _u17973), _u17974)) | ~c_List_Olinorder__class_Osorted(_u17972, _u17974) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17972), _u17973), skolem442(_u17974, _u17973, _u17972))) )).
% 19.53/19.79 cnf(matrix-7421, plain, ( ~class_Orderings_Olinorder(_u17979) | ~c_List_Olinorder__class_Osorted(_u17979, hAPP(hAPP(c_List_Oappend(_u17979), _u17980), _u17981)) | c_List_Olinorder__class_Osorted(_u17979, _u17980) )).
% 19.53/19.79 cnf(matrix-7422, plain, ( ~class_Orderings_Olinorder(_u17979) | ~c_List_Olinorder__class_Osorted(_u17979, hAPP(hAPP(c_List_Oappend(_u17979), _u17980), _u17981)) | c_List_Olinorder__class_Osorted(_u17979, _u17981) )).
% 19.53/19.79 cnf(matrix-7423, plain, ( ~class_Orderings_Olinorder(_u17979) | ~c_List_Olinorder__class_Osorted(_u17979, hAPP(hAPP(c_List_Oappend(_u17979), _u17980), _u17981)) | ~hBOOL(hAPP(hAPP(c_member(_u17979), _u17976), hAPP(c_List_Oset(_u17979), _u17980))) | ~hBOOL(hAPP(hAPP(c_member(_u17979), _u17975), hAPP(c_List_Oset(_u17979), _u17981))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17979), _u17976), _u17975)) )).
% 19.53/19.79 cnf(matrix-7424, plain, ( ~class_Orderings_Olinorder(_u17979) | c_List_Olinorder__class_Osorted(_u17979, hAPP(hAPP(c_List_Oappend(_u17979), _u17980), _u17981)) | ~c_List_Olinorder__class_Osorted(_u17979, _u17980) | ~c_List_Olinorder__class_Osorted(_u17979, _u17981) | hBOOL(hAPP(hAPP(c_member(_u17979), skolem443(_u17981, _u17980, _u17979)), hAPP(c_List_Oset(_u17979), _u17980))) )).
% 19.53/19.79 cnf(matrix-7425, plain, ( ~class_Orderings_Olinorder(_u17979) | c_List_Olinorder__class_Osorted(_u17979, hAPP(hAPP(c_List_Oappend(_u17979), _u17980), _u17981)) | ~c_List_Olinorder__class_Osorted(_u17979, _u17980) | ~c_List_Olinorder__class_Osorted(_u17979, _u17981) | hBOOL(hAPP(hAPP(c_member(_u17979), skolem444(_u17981, _u17980, _u17979)), hAPP(c_List_Oset(_u17979), _u17981))) )).
% 19.53/19.79 cnf(matrix-7426, plain, ( ~class_Orderings_Olinorder(_u17979) | c_List_Olinorder__class_Osorted(_u17979, hAPP(hAPP(c_List_Oappend(_u17979), _u17980), _u17981)) | ~c_List_Olinorder__class_Osorted(_u17979, _u17980) | ~c_List_Olinorder__class_Osorted(_u17979, _u17981) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17979), skolem443(_u17981, _u17980, _u17979)), skolem444(_u17981, _u17980, _u17979))) )).
% 19.53/19.79 cnf(matrix-7427, plain, ( ~class_Orderings_Olinorder(_u17982) | ~c_List_Olinorder__class_Osorted(_u17982, hAPP(hAPP(c_List_Omap(_u17983, _u17982), _u17984), _u17985)) | ~hBOOL(hAPP(_u17986, _u17987)) | ( hAPP(c_List_Ofilter(_u17983, _u17986), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17983, _u17982, _u17984), _u17987), _u17985)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17983, _u17982, _u17984), _u17987), hAPP(c_List_Ofilter(_u17983, _u17986), _u17985))) )).
% 19.53/19.79 cnf(matrix-7428, plain, ( ~class_Orderings_Olinorder(_u17990) | ~c_List_Olinorder__class_Osorted(_u17990, hAPP(hAPP(c_List_Olist_OCons(_u17990), _u17991), _u17992)) | ~hBOOL(hAPP(hAPP(c_member(_u17990), _u17988), hAPP(c_List_Oset(_u17990), _u17992))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17990), _u17991), _u17988)) )).
% 19.53/19.79 cnf(matrix-7429, plain, ( ~class_Orderings_Olinorder(_u17990) | ~c_List_Olinorder__class_Osorted(_u17990, hAPP(hAPP(c_List_Olist_OCons(_u17990), _u17991), _u17992)) | c_List_Olinorder__class_Osorted(_u17990, _u17992) )).
% 19.53/19.79 cnf(matrix-7430, plain, ( ~class_Orderings_Olinorder(_u17990) | c_List_Olinorder__class_Osorted(_u17990, hAPP(hAPP(c_List_Olist_OCons(_u17990), _u17991), _u17992)) | ~c_List_Olinorder__class_Osorted(_u17990, _u17992) | hBOOL(hAPP(hAPP(c_member(_u17990), skolem445(_u17992, _u17991, _u17990)), hAPP(c_List_Oset(_u17990), _u17992))) )).
% 19.53/19.79 cnf(matrix-7431, plain, ( ~class_Orderings_Olinorder(_u17990) | c_List_Olinorder__class_Osorted(_u17990, hAPP(hAPP(c_List_Olist_OCons(_u17990), _u17991), _u17992)) | ~c_List_Olinorder__class_Osorted(_u17990, _u17992) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17990), _u17991), skolem445(_u17992, _u17991, _u17990))) )).
% 19.53/19.79 cnf(matrix-7432, plain, ( ~class_Orderings_Olinorder(_u17993) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17993), _u17994)) | ( hAPP(c_List_Oset(_u17993), c_List_Olinorder__class_Osorted__list__of__set(_u17993, _u17994)) = _u17994) )).
% 19.53/19.79 cnf(matrix-7433, plain, ( ~class_Orderings_Olinorder(_u17993) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17993), _u17994)) | c_List_Olinorder__class_Osorted(_u17993, c_List_Olinorder__class_Osorted__list__of__set(_u17993, _u17994)) )).
% 19.53/19.79 cnf(matrix-7434, plain, ( ~class_Orderings_Olinorder(_u17993) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17993), _u17994)) | hBOOL(hAPP(c_List_Odistinct(_u17993), c_List_Olinorder__class_Osorted__list__of__set(_u17993, _u17994))) )).
% 19.53/19.79 cnf(matrix-7435, plain, ( ~class_Orderings_Olinorder(_u17995) | ~hBOOL(hAPP(hAPP(c_member(_u17995), _u17996), hAPP(c_List_Oset(_u17995), _u17997))) | ~c_List_Olinorder__class_Osorted(_u17995, _u17997) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17995, _u17995, c_COMBI(_u17995)), _u17996), c_List_Oremove1(_u17995, _u17996, _u17997)) = _u17997) )).
% 19.53/19.79 cnf(matrix-7436, plain, ( ~class_Orderings_Olinorder(_u18002) | ~c_List_Olinorder__class_Osorted(_u18002, _u18003) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17999), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18002)), _u18003))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17998), _u17999)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18002), hAPP(hAPP(c_List_Onth(_u18002), _u18003), _u17998)), hAPP(hAPP(c_List_Onth(_u18002), _u18003), _u17999))) )).
% 19.53/19.79 cnf(matrix-7437, plain, ( ~class_Orderings_Olinorder(_u18002) | c_List_Olinorder__class_Osorted(_u18002, _u18003) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem446(_u18003, _u18002)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18002)), _u18003))) )).
% 19.53/19.79 cnf(matrix-7438, plain, ( ~class_Orderings_Olinorder(_u18002) | c_List_Olinorder__class_Osorted(_u18002, _u18003) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem447(_u18003, _u18002)), skolem446(_u18003, _u18002))) )).
% 19.53/19.79 cnf(matrix-7439, plain, ( ~class_Orderings_Olinorder(_u18002) | c_List_Olinorder__class_Osorted(_u18002, _u18003) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18002), hAPP(hAPP(c_List_Onth(_u18002), _u18003), skolem447(_u18003, _u18002))), hAPP(hAPP(c_List_Onth(_u18002), _u18003), skolem446(_u18003, _u18002)))) )).
% 19.53/19.79 cnf(matrix-7440, plain, ( ~class_Orderings_Olinorder(_u18004) | ~c_List_Olinorder__class_Osorted(_u18004, _u18005) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18006), _u18007)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18007), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18004)), _u18005))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18004), hAPP(hAPP(c_List_Onth(_u18004), _u18005), _u18006)), hAPP(hAPP(c_List_Onth(_u18004), _u18005), _u18007))) )).
% 19.53/19.79 cnf(matrix-7441, plain, ( ~class_Orderings_Olinorder(_u18008) | ~c_Fun_Oinj__on(_u18009, _u18008, _u18010, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18009, tc_HOL_Obool)), hAPP(c_List_Oset(_u18009), _u18011)), hAPP(c_List_Oset(_u18009), _u18012))) | ~c_List_Olinorder__class_Osorted(_u18008, hAPP(hAPP(c_List_Omap(_u18009, _u18008), _u18010), _u18011)) | ~hBOOL(hAPP(c_List_Odistinct(_u18008), hAPP(hAPP(c_List_Omap(_u18009, _u18008), _u18010), _u18011))) | ~c_List_Olinorder__class_Osorted(_u18008, hAPP(hAPP(c_List_Omap(_u18009, _u18008), _u18010), _u18012)) | ~hBOOL(hAPP(c_List_Odistinct(_u18008), hAPP(hAPP(c_List_Omap(_u18009, _u18008), _u18010), _u18012))) | ( hAPP(c_List_Oset(_u18009), _u18011) != hAPP(c_List_Oset(_u18009), _u18012)) | ( _u18011 = _u18012) )).
% 19.53/19.79 cnf(matrix-7442, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18013), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18013))), _u18014))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18015), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18013))), _u18014))) | ( hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18013), _u18013), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18013), tc_Nat_Onat, _u18013), c_List_Onth(_u18013)), _u18015)), hAPP(c_List_Ofilter(tc_List_Olist(_u18013), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18013)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18015)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18013)))), c_List_Otranspose(_u18013, _u18014))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18013)), _u18014), _u18015)) )).
% 19.53/19.79 cnf(matrix-7443, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18016), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18016))), _u18017))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18018), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18016))), c_List_Otranspose(_u18016, _u18017)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18019), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18016))), hAPP(c_List_Ofilter(tc_List_Olist(_u18016), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18016)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18018)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18016)))), _u18017)))) | ( hAPP(hAPP(c_List_Onth(_u18016), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18016)), c_List_Otranspose(_u18016, _u18017)), _u18018)), _u18019) = hAPP(hAPP(c_List_Onth(_u18016), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18016)), _u18017), _u18019)), _u18018)) )).
% 19.53/19.79 cnf(matrix-7444, plain, ( c_Fun_Oinj__on(tc_List_Olist(_u18020), tc_List_Olist(_u18020), c_List_Orev(_u18020), _u18021) )).
% 19.53/19.79 cnf(matrix-7445, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18024), hAPP(c_List_Orev(_u18024), _u18026))) | hBOOL(hAPP(c_List_Odistinct(_u18024), _u18026)) )).
% 19.53/19.79 cnf(matrix-7446, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18025), _u18027)) | hBOOL(hAPP(c_List_Odistinct(_u18025), hAPP(c_List_Orev(_u18025), _u18027))) )).
% 19.53/19.79 cnf(matrix-7447, plain, ( ( hAPP(c_List_Orev(_u18028), c_List_Olist_ONil(_u18028)) = c_List_Olist_ONil(_u18028)) )).
% 19.53/19.79 cnf(matrix-7448, plain, ( ( c_List_Olist_ONil(_u18031) != hAPP(c_List_Orev(_u18031), _u18033)) | ( _u18033 = c_List_Olist_ONil(_u18031)) )).
% 19.53/19.79 cnf(matrix-7449, plain, ( ( _u18034 != c_List_Olist_ONil(_u18032)) | ( c_List_Olist_ONil(_u18032) = hAPP(c_List_Orev(_u18032), _u18034)) )).
% 19.53/19.79 cnf(matrix-7450, plain, ( ( hAPP(c_List_Orev(_u18037), _u18039) != c_List_Olist_ONil(_u18037)) | ( _u18039 = c_List_Olist_ONil(_u18037)) )).
% 19.53/19.79 cnf(matrix-7451, plain, ( ( _u18040 != c_List_Olist_ONil(_u18038)) | ( hAPP(c_List_Orev(_u18038), _u18040) = c_List_Olist_ONil(_u18038)) )).
% 19.53/19.79 cnf(matrix-7452, plain, ( ( hAPP(c_List_Orev(_u18044), _u18046) != hAPP(hAPP(c_List_Olist_OCons(_u18044), _u18048), c_List_Olist_ONil(_u18044))) | ( _u18046 = hAPP(hAPP(c_List_Olist_OCons(_u18044), _u18048), c_List_Olist_ONil(_u18044))) )).
% 19.53/19.79 cnf(matrix-7453, plain, ( ( _u18047 != hAPP(hAPP(c_List_Olist_OCons(_u18045), _u18049), c_List_Olist_ONil(_u18045))) | ( hAPP(c_List_Orev(_u18045), _u18047) = hAPP(hAPP(c_List_Olist_OCons(_u18045), _u18049), c_List_Olist_ONil(_u18045))) )).
% 19.53/19.79 cnf(matrix-7454, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18053), _u18055), c_List_Olist_ONil(_u18053)) != hAPP(c_List_Orev(_u18053), _u18057)) | ( _u18057 = hAPP(hAPP(c_List_Olist_OCons(_u18053), _u18055), c_List_Olist_ONil(_u18053))) )).
% 19.53/19.79 cnf(matrix-7455, plain, ( ( _u18058 != hAPP(hAPP(c_List_Olist_OCons(_u18054), _u18056), c_List_Olist_ONil(_u18054))) | ( hAPP(hAPP(c_List_Olist_OCons(_u18054), _u18056), c_List_Olist_ONil(_u18054)) = hAPP(c_List_Orev(_u18054), _u18058)) )).
% 19.53/19.79 cnf(matrix-7456, plain, ( ( hAPP(c_List_Orev(_u18059), hAPP(hAPP(c_List_Oappend(_u18059), _u18060), _u18061)) = hAPP(hAPP(c_List_Oappend(_u18059), hAPP(c_List_Orev(_u18059), _u18061)), hAPP(c_List_Orev(_u18059), _u18060))) )).
% 19.53/19.79 cnf(matrix-7457, plain, ( ( hAPP(c_List_Orev(_u18062), c_List_Oconcat(_u18062, _u18063)) = c_List_Oconcat(_u18062, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18062), tc_List_Olist(_u18062)), c_List_Orev(_u18062)), hAPP(c_List_Orev(tc_List_Olist(_u18062)), _u18063)))) )).
% 19.53/19.79 cnf(matrix-7458, plain, ( ( hAPP(c_List_Orev(_u18064), hAPP(hAPP(c_List_Omap(_u18065, _u18064), _u18066), _u18067)) = hAPP(hAPP(c_List_Omap(_u18065, _u18064), _u18066), hAPP(c_List_Orev(_u18065), _u18067))) )).
% 19.53/19.79 cnf(matrix-7459, plain, ( ( hAPP(c_List_Orev(_u18068), hAPP(c_List_Ofilter(_u18068, _u18069), _u18070)) = hAPP(c_List_Ofilter(_u18068, _u18069), hAPP(c_List_Orev(_u18068), _u18070))) )).
% 19.53/19.79 cnf(matrix-7460, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18071)), _u18072) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18073)), _u18074)) | ( hAPP(hAPP(c_List_Ozip(_u18071, _u18073), hAPP(c_List_Orev(_u18071), _u18072)), hAPP(c_List_Orev(_u18073), _u18074)) = hAPP(c_List_Orev(tc_prod(_u18071, _u18073)), hAPP(hAPP(c_List_Ozip(_u18071, _u18073), _u18072), _u18074))) )).
% 19.53/19.79 cnf(matrix-7461, plain, ( ( hAPP(c_List_Oset(_u18075), hAPP(c_List_Orev(_u18075), _u18076)) = hAPP(c_List_Oset(_u18075), _u18076)) )).
% 19.53/19.79 cnf(matrix-7462, plain, ( ~c_List_Olist__all2(_u18082, _u18084, _u18086, hAPP(c_List_Orev(_u18082), _u18088), _u18090) | c_List_Olist__all2(_u18082, _u18084, _u18086, _u18088, hAPP(c_List_Orev(_u18084), _u18090)) )).
% 19.53/19.79 cnf(matrix-7463, plain, ( ~c_List_Olist__all2(_u18083, _u18085, _u18087, _u18089, hAPP(c_List_Orev(_u18085), _u18091)) | c_List_Olist__all2(_u18083, _u18085, _u18087, hAPP(c_List_Orev(_u18083), _u18089), _u18091) )).
% 19.53/19.79 cnf(matrix-7464, plain, ( ~c_List_Olist__all2(_u18097, _u18099, _u18101, hAPP(c_List_Orev(_u18097), _u18103), hAPP(c_List_Orev(_u18099), _u18105)) | c_List_Olist__all2(_u18097, _u18099, _u18101, _u18103, _u18105) )).
% 19.53/19.79 cnf(matrix-7465, plain, ( ~c_List_Olist__all2(_u18098, _u18100, _u18102, _u18104, _u18106) | c_List_Olist__all2(_u18098, _u18100, _u18102, hAPP(c_List_Orev(_u18098), _u18104), hAPP(c_List_Orev(_u18100), _u18106)) )).
% 19.53/19.79 cnf(matrix-7466, plain, ( ( _u18112 = _u18114) | ( hAPP(c_List_Orev(_u18110), _u18112) != hAPP(c_List_Orev(_u18110), _u18114)) )).
% 19.53/19.79 cnf(matrix-7467, plain, ( ( _u18113 != _u18115) | ( hAPP(c_List_Orev(_u18111), _u18113) = hAPP(c_List_Orev(_u18111), _u18115)) )).
% 19.53/19.79 cnf(matrix-7468, plain, ( ( hAPP(c_List_Orev(_u18119), _u18121) != _u18123) | ( _u18121 = hAPP(c_List_Orev(_u18119), _u18123)) )).
% 19.53/19.79 cnf(matrix-7469, plain, ( ( _u18122 != hAPP(c_List_Orev(_u18120), _u18124)) | ( hAPP(c_List_Orev(_u18120), _u18122) = _u18124) )).
% 19.53/19.79 cnf(matrix-7470, plain, ( ( hAPP(c_List_Orev(_u18125), hAPP(c_List_Orev(_u18125), _u18126)) = _u18126) )).
% 19.53/19.79 cnf(matrix-7471, plain, ( ~class_Groups_Ocomm__monoid__add(_u18127) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18127), hAPP(c_List_Orev(_u18127), _u18128)) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18127), _u18128)) )).
% 19.53/19.79 cnf(matrix-7472, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18129)), hAPP(c_List_Orev(_u18129), _u18130)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18129)), _u18130)) )).
% 19.53/19.79 cnf(matrix-7473, plain, ( ( c_List_Ofoldr(_u18131, _u18132, _u18133, _u18134, _u18135) = hAPP(c_List_Ofoldl(_u18132, _u18131, hAPP(c_COMBC(_u18131, _u18132, _u18132), _u18133), _u18135), hAPP(c_List_Orev(_u18131), _u18134))) )).
% 19.53/19.79 cnf(matrix-7474, plain, ( ( hAPP(c_List_Ofoldl(_u18136, _u18137, _u18138, _u18139), _u18140) = c_List_Ofoldr(_u18137, _u18136, hAPP(c_COMBC(_u18136, _u18137, _u18136), _u18138), hAPP(c_List_Orev(_u18137), _u18140), _u18139)) )).
% 19.53/19.79 cnf(matrix-7475, plain, ( ( hAPP(c_List_Orev(_u18141), hAPP(hAPP(c_List_Olist_OCons(_u18141), _u18142), _u18143)) = hAPP(hAPP(c_List_Oappend(_u18141), hAPP(c_List_Orev(_u18141), _u18143)), hAPP(hAPP(c_List_Olist_OCons(_u18141), _u18142), c_List_Olist_ONil(_u18141)))) )).
% 19.53/19.79 cnf(matrix-7476, plain, ( ( hAPP(c_List_Orev(_u18148), _u18150) != hAPP(hAPP(c_List_Olist_OCons(_u18148), _u18152), _u18154)) | ( _u18150 = hAPP(hAPP(c_List_Oappend(_u18148), hAPP(c_List_Orev(_u18148), _u18154)), hAPP(hAPP(c_List_Olist_OCons(_u18148), _u18152), c_List_Olist_ONil(_u18148)))) )).
% 19.53/19.79 cnf(matrix-7477, plain, ( ( _u18151 != hAPP(hAPP(c_List_Oappend(_u18149), hAPP(c_List_Orev(_u18149), _u18155)), hAPP(hAPP(c_List_Olist_OCons(_u18149), _u18153), c_List_Olist_ONil(_u18149)))) | ( hAPP(c_List_Orev(_u18149), _u18151) = hAPP(hAPP(c_List_Olist_OCons(_u18149), _u18153), _u18155)) )).
% 19.53/19.79 cnf(matrix-7478, plain, ( ( _u18156 = c_List_Olist_ONil(_u18157)) | ( c_List_Olast(_u18157, hAPP(c_List_Orev(_u18157), _u18156)) = hAPP(c_List_Ohd(_u18157), _u18156)) )).
% 19.53/19.79 cnf(matrix-7479, plain, ( ( _u18158 = c_List_Olist_ONil(_u18159)) | ( hAPP(c_List_Ohd(_u18159), hAPP(c_List_Orev(_u18159), _u18158)) = c_List_Olast(_u18159, _u18158)) )).
% 19.53/19.79 cnf(matrix-7480, plain, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18160), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18160))), c_List_Otranspose(_u18160, _u18161)))) )).
% 19.53/19.79 cnf(matrix-7481, plain, ( ( hAPP(c_List_Orev(_u18162), _u18163) = hAPP(c_List_Ofoldl(tc_List_Olist(_u18162), _u18162, hAPP(c_COMBC(_u18162, tc_List_Olist(_u18162), tc_List_Olist(_u18162)), c_List_Olist_OCons(_u18162)), c_List_Olist_ONil(_u18162)), _u18163)) )).
% 19.53/19.79 cnf(matrix-7482, plain, ( ( hAPP(c_List_Orev(_u18164), hAPP(hAPP(c_List_Otake(_u18164), _u18165), _u18166)) = hAPP(hAPP(c_List_Odrop(_u18164), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18164)), _u18166)), _u18165)), hAPP(c_List_Orev(_u18164), _u18166))) )).
% 19.53/19.79 cnf(matrix-7483, plain, ( ( hAPP(c_List_Orev(_u18167), hAPP(hAPP(c_List_Odrop(_u18167), _u18168), _u18169)) = hAPP(hAPP(c_List_Otake(_u18167), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18167)), _u18169)), _u18168)), hAPP(c_List_Orev(_u18167), _u18169))) )).
% 19.53/19.79 cnf(matrix-7484, plain, ( ( hAPP(c_List_Orotate(_u18170, _u18171), hAPP(c_List_Orev(_u18170), _u18172)) = hAPP(c_List_Orev(_u18170), hAPP(c_List_Orotate(_u18170, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18170)), _u18172)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u18171, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18170)), _u18172)))), _u18172))) )).
% 19.53/19.79 cnf(matrix-7485, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18173), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18174)), _u18175))) | ( hAPP(hAPP(c_List_Onth(_u18174), hAPP(c_List_Orev(_u18174), _u18175)), _u18173) = hAPP(hAPP(c_List_Onth(_u18174), _u18175), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18174)), _u18175)), hAPP(c_Nat_OSuc, _u18173)))) )).
% 19.53/19.79 cnf(matrix-7486, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18176), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18177)), _u18178))) | ( hAPP(c_List_Orev(_u18177), hAPP(hAPP(c_List_Olist__update(_u18177, _u18178), _u18176), _u18179)) = hAPP(hAPP(c_List_Olist__update(_u18177, hAPP(c_List_Orev(_u18177), _u18178)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18177)), _u18178)), _u18176)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u18179)) )).
% 19.53/19.79 cnf(matrix-7487, plain, ( ~class_Orderings_Olinorder(_u18180) | ~c_List_Olinorder__class_Osorted(_u18180, hAPP(c_List_Orev(_u18180), _u18181)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18182), _u18183)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18183), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18180)), _u18181))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18180), hAPP(hAPP(c_List_Onth(_u18180), _u18181), _u18183)), hAPP(hAPP(c_List_Onth(_u18180), _u18181), _u18182))) )).
% 19.53/19.79 cnf(matrix-7488, plain, ( ~class_Orderings_Olinorder(_u18184) | ~c_List_Olinorder__class_Osorted(_u18184, hAPP(c_List_Orev(_u18184), _u18185)) | ( _u18185 != c_List_Olist_ONil(_u18184)) | ( c_List_Ofoldr(_u18184, _u18184, c_Orderings_Oord__class_Omax(_u18184), _u18185, _u18186) = _u18186) )).
% 19.53/19.79 cnf(matrix-7489, plain, ( ~class_Orderings_Olinorder(_u18184) | ~c_List_Olinorder__class_Osorted(_u18184, hAPP(c_List_Orev(_u18184), _u18185)) | ( _u18185 = c_List_Olist_ONil(_u18184)) | ( c_List_Ofoldr(_u18184, _u18184, c_Orderings_Oord__class_Omax(_u18184), _u18185, _u18186) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u18184), hAPP(hAPP(c_List_Onth(_u18184), _u18185), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u18186)) )).
% 19.53/19.79 cnf(matrix-7490, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18187), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18187))), _u18188))) | ( _u18188 != c_List_Olist_ONil(tc_List_Olist(_u18187))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18187))), c_List_Otranspose(_u18187, _u18188)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.79 cnf(matrix-7491, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18187), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18187))), _u18188))) | ( _u18188 = c_List_Olist_ONil(tc_List_Olist(_u18187))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18187))), c_List_Otranspose(_u18187, _u18188)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18187)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18187)), _u18188), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 19.53/19.79 cnf(matrix-7492, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18189), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18189))), _u18190))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18191), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18189))), _u18190))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18189))), hAPP(c_List_Ofilter(tc_List_Olist(_u18189), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18189)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18191)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18189)))), c_List_Otranspose(_u18189, _u18190))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18189)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18189)), _u18190), _u18191))) )).
% 19.53/19.79 cnf(matrix-7493, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18192), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18192))), _u18193))) | ( c_List_Otranspose(_u18192, c_List_Otranspose(_u18192, _u18193)) = c_List_OtakeWhile(tc_List_Olist(_u18192), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18192)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18192), tc_List_Olist(_u18192), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18192))), _u18193)) )).
% 19.53/19.79 cnf(matrix-7494, plain, ( ( c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint))) )).
% 19.53/19.79 cnf(matrix-7495, plain, ( ~class_Orderings_Olinorder(_u18194) | ~c_List_Olinorder__class_Osorted(_u18194, _u18195) | c_List_Olinorder__class_Osorted(_u18194, c_List_OtakeWhile(_u18194, _u18196, _u18195)) )).
% 19.53/19.79 cnf(matrix-7496, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18197)), c_List_OtakeWhile(_u18197, _u18198, _u18199))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18197)), _u18199))) )).
% 19.53/19.79 cnf(matrix-7497, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18200), _u18201), hAPP(c_List_Oset(_u18200), c_List_OtakeWhile(_u18200, _u18202, _u18203)))) | hBOOL(hAPP(hAPP(c_member(_u18200), _u18201), hAPP(c_List_Oset(_u18200), _u18203))) )).
% 19.53/19.79 cnf(matrix-7498, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18200), _u18201), hAPP(c_List_Oset(_u18200), c_List_OtakeWhile(_u18200, _u18202, _u18203)))) | hBOOL(hAPP(_u18202, _u18201)) )).
% 19.53/19.79 cnf(matrix-7499, plain, ( ( c_List_OtakeWhile(_u18209, _u18211, _u18213) != _u18213) | ~hBOOL(hAPP(hAPP(c_member(_u18209), _u18204), hAPP(c_List_Oset(_u18209), _u18213))) | hBOOL(hAPP(_u18211, _u18204)) )).
% 19.53/19.79 cnf(matrix-7500, plain, ( ( c_List_OtakeWhile(_u18210, _u18212, _u18214) = _u18214) | hBOOL(hAPP(hAPP(c_member(_u18210), skolem448(_u18214, _u18212, _u18210)), hAPP(c_List_Oset(_u18210), _u18214))) )).
% 19.53/19.79 cnf(matrix-7501, plain, ( ( c_List_OtakeWhile(_u18210, _u18212, _u18214) = _u18214) | ~hBOOL(hAPP(_u18212, skolem448(_u18214, _u18212, _u18210))) )).
% 19.53/19.79 cnf(matrix-7502, plain, ( ( hAPP(hAPP(c_List_Ozip(_u18215, _u18216), _u18217), c_List_OtakeWhile(_u18216, _u18218, _u18219)) = c_List_OtakeWhile(tc_prod(_u18215, _u18216), hAPP(c_Fun_Ocomp(_u18216, tc_HOL_Obool, tc_prod(_u18215, _u18216), _u18218), c_Product__Type_Osnd(_u18215, _u18216)), hAPP(hAPP(c_List_Ozip(_u18215, _u18216), _u18217), _u18219))) )).
% 19.53/19.79 cnf(matrix-7503, plain, ( ( hAPP(hAPP(c_List_Ozip(_u18220, _u18221), c_List_OtakeWhile(_u18220, _u18222, _u18223)), _u18224) = c_List_OtakeWhile(tc_prod(_u18220, _u18221), hAPP(c_Fun_Ocomp(_u18220, tc_HOL_Obool, tc_prod(_u18220, _u18221), _u18222), c_Product__Type_Ofst(_u18220, _u18221)), hAPP(hAPP(c_List_Ozip(_u18220, _u18221), _u18223), _u18224))) )).
% 19.53/19.79 cnf(matrix-7504, plain, ( ( c_List_OtakeWhile(_u18225, _u18226, hAPP(hAPP(c_List_Omap(_u18227, _u18225), _u18228), _u18229)) = hAPP(hAPP(c_List_Omap(_u18227, _u18225), _u18228), c_List_OtakeWhile(_u18227, hAPP(c_Fun_Ocomp(_u18225, tc_HOL_Obool, _u18227, _u18226), _u18228), _u18229))) )).
% 19.53/19.79 cnf(matrix-7505, plain, ( hBOOL(hAPP(_u18230, _u18231)) | ( c_List_OtakeWhile(_u18232, _u18230, hAPP(hAPP(c_List_Oappend(_u18232), _u18233), hAPP(hAPP(c_List_Olist_OCons(_u18232), _u18231), _u18234))) = c_List_OtakeWhile(_u18232, _u18230, _u18233)) )).
% 19.53/19.79 cnf(matrix-7506, plain, ( ~hBOOL(hAPP(_u18239, _u18241)) | ( c_List_OtakeWhile(_u18243, _u18239, hAPP(hAPP(c_List_Olist_OCons(_u18243), _u18241), _u18245)) = hAPP(hAPP(c_List_Olist_OCons(_u18243), _u18241), c_List_OtakeWhile(_u18243, _u18239, _u18245))) )).
% 19.53/19.79 cnf(matrix-7507, plain, ( hBOOL(hAPP(_u18240, _u18242)) | ( c_List_OtakeWhile(_u18244, _u18240, hAPP(hAPP(c_List_Olist_OCons(_u18244), _u18242), _u18246)) = c_List_Olist_ONil(_u18244)) )).
% 19.53/19.79 cnf(matrix-7508, plain, ( ( c_List_OtakeWhile(_u18247, _u18248, c_List_Olist_ONil(_u18247)) = c_List_Olist_ONil(_u18247)) )).
% 19.53/19.79 cnf(matrix-7509, plain, ( ( c_List_OtakeWhile(_u18249, _u18250, _u18251) = hAPP(hAPP(c_List_Otake(_u18249), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18249)), c_List_OtakeWhile(_u18249, _u18250, _u18251))), _u18251)) )).
% 19.53/19.79 cnf(matrix-7510, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18252), _u18253)) | hBOOL(hAPP(c_List_Odistinct(_u18252), c_List_OtakeWhile(_u18252, _u18254, _u18253))) )).
% 19.53/19.79 cnf(matrix-7511, plain, ( ( c_List_Oreturn__list(_u18255) = hAPP(hAPP(c_List_Omap(tc_Int_Oint, tc_Nat_Onat), c_Int_Onat), _u18255)) )).
% 19.53/19.79 cnf(matrix-7512, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18256), _u18257), hAPP(c_List_Oset(_u18256), _u18258))) | hBOOL(hAPP(_u18259, _u18257)) | ( c_List_OtakeWhile(_u18256, _u18259, hAPP(hAPP(c_List_Oappend(_u18256), _u18258), _u18260)) = c_List_OtakeWhile(_u18256, _u18259, _u18258)) )).
% 19.53/19.79 cnf(matrix-7513, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18261)), c_List_OtakeWhile(_u18261, _u18262, _u18263))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18261)), _u18263))) | ~hBOOL(hAPP(_u18262, hAPP(hAPP(c_List_Onth(_u18261), _u18263), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18261)), c_List_OtakeWhile(_u18261, _u18262, _u18263))))) )).
% 19.53/19.79 cnf(matrix-7514, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18264), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18265)), c_List_OtakeWhile(_u18265, _u18266, _u18267)))) | ( hAPP(hAPP(c_List_Onth(_u18265), c_List_OtakeWhile(_u18265, _u18266, _u18267)), _u18264) = hAPP(hAPP(c_List_Onth(_u18265), _u18267), _u18264)) )).
% 19.53/19.79 cnf(matrix-7515, plain, ( ( _u18268 = c_List_Olist_ONil(_u18269)) | ~hBOOL(hAPP(c_List_Odistinct(_u18269), _u18268)) | ( c_List_OtakeWhile(_u18269, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18269), c_fNot), hAPP(hAPP(c_COMBC(_u18269, _u18269, tc_HOL_Obool), c_fequal), c_List_Olast(_u18269, _u18268))), _u18268) = c_List_Obutlast(_u18269, _u18268)) )).
% 19.53/19.79 cnf(matrix-7516, plain, ( ~class_Orderings_Olinorder(_u18270) | ~c_List_Olinorder__class_Osorted(_u18270, hAPP(c_List_Orev(_u18270), hAPP(hAPP(c_List_Omap(_u18271, _u18270), _u18272), _u18273))) | ( hAPP(c_List_Ofilter(_u18271, hAPP(hAPP(c_COMBB(_u18270, tc_HOL_Obool, _u18271), hAPP(c_Orderings_Oord__class_Oless(_u18270), _u18274)), _u18272)), _u18273) = c_List_OtakeWhile(_u18271, hAPP(hAPP(c_COMBB(_u18270, tc_HOL_Obool, _u18271), hAPP(c_Orderings_Oord__class_Oless(_u18270), _u18274)), _u18272), _u18273)) )).
% 19.53/19.79 cnf(matrix-7517, plain, ( ~c_List_Onat__list(_u18275) | ( c_List_Oembed__list(c_List_Oreturn__list(_u18275)) = _u18275) )).
% 19.53/19.79 cnf(matrix-7518, plain, ( ( hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), _u18276), _u18277) = c_List_Oreturn__list(hAPP(hAPP(c_List_Oappend(tc_Int_Oint), c_List_Oembed__list(_u18276)), c_List_Oembed__list(_u18277)))) )).
% 19.53/19.79 cnf(matrix-7519, plain, ( ( c_List_Oembed__list(_u18278) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Int_Oint), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u18278)) )).
% 19.53/19.79 cnf(matrix-7520, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18279), _u18280)) | ~hBOOL(hAPP(hAPP(c_member(_u18279), _u18281), hAPP(c_List_Oset(_u18279), _u18280))) | ( c_List_OtakeWhile(_u18279, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18279), c_fNot), hAPP(hAPP(c_COMBC(_u18279, _u18279, tc_HOL_Obool), c_fequal), _u18281)), hAPP(c_List_Orev(_u18279), _u18280)) = hAPP(c_List_Orev(_u18279), hAPP(c_List_Otl(_u18279), c_List_OdropWhile(_u18279, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18279), c_fNot), hAPP(hAPP(c_COMBC(_u18279, _u18279, tc_HOL_Obool), c_fequal), _u18281)), _u18280)))) )).
% 19.53/19.79 cnf(matrix-7521, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18282), _u18283)) | ~hBOOL(hAPP(hAPP(c_member(_u18282), _u18284), hAPP(c_List_Oset(_u18282), _u18283))) | ( c_List_OdropWhile(_u18282, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18282), c_fNot), hAPP(hAPP(c_COMBC(_u18282, _u18282, tc_HOL_Obool), c_fequal), _u18284)), hAPP(c_List_Orev(_u18282), _u18283)) = hAPP(hAPP(c_List_Olist_OCons(_u18282), _u18284), hAPP(c_List_Orev(_u18282), c_List_OtakeWhile(_u18282, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18282), c_fNot), hAPP(hAPP(c_COMBC(_u18282, _u18282, tc_HOL_Obool), c_fequal), _u18284)), _u18283)))) )).
% 19.53/19.79 cnf(matrix-7522, plain, ( ( hAPP(hAPP(c_List_Oappend(_u18285), c_List_OtakeWhile(_u18285, _u18286, _u18287)), c_List_OdropWhile(_u18285, _u18286, _u18287)) = _u18287) )).
% 19.53/19.79 cnf(matrix-7523, plain, ( ~class_Orderings_Olinorder(_u18288) | ~c_List_Olinorder__class_Osorted(_u18288, _u18289) | c_List_Olinorder__class_Osorted(_u18288, c_List_OdropWhile(_u18288, _u18290, _u18289)) )).
% 19.53/19.79 cnf(matrix-7524, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18291)), c_List_OdropWhile(_u18291, _u18292, _u18293))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18291)), _u18293))) )).
% 19.53/19.79 cnf(matrix-7525, plain, ( ( c_List_OdropWhile(_u18299, _u18301, _u18303) != c_List_Olist_ONil(_u18299)) | ~hBOOL(hAPP(hAPP(c_member(_u18299), _u18294), hAPP(c_List_Oset(_u18299), _u18303))) | hBOOL(hAPP(_u18301, _u18294)) )).
% 19.53/19.79 cnf(matrix-7526, plain, ( ( c_List_OdropWhile(_u18300, _u18302, _u18304) = c_List_Olist_ONil(_u18300)) | hBOOL(hAPP(hAPP(c_member(_u18300), skolem449(_u18304, _u18302, _u18300)), hAPP(c_List_Oset(_u18300), _u18304))) )).
% 19.53/19.79 cnf(matrix-7527, plain, ( ( c_List_OdropWhile(_u18300, _u18302, _u18304) = c_List_Olist_ONil(_u18300)) | ~hBOOL(hAPP(_u18302, skolem449(_u18304, _u18302, _u18300))) )).
% 19.53/19.79 cnf(matrix-7528, plain, ( ~hBOOL(hAPP(_u18309, _u18311)) | ( c_List_OdropWhile(_u18313, _u18309, hAPP(hAPP(c_List_Olist_OCons(_u18313), _u18311), _u18315)) = c_List_OdropWhile(_u18313, _u18309, _u18315)) )).
% 19.53/19.79 cnf(matrix-7529, plain, ( hBOOL(hAPP(_u18310, _u18312)) | ( c_List_OdropWhile(_u18314, _u18310, hAPP(hAPP(c_List_Olist_OCons(_u18314), _u18312), _u18316)) = hAPP(hAPP(c_List_Olist_OCons(_u18314), _u18312), _u18316)) )).
% 19.53/19.79 cnf(matrix-7530, plain, ( ( c_List_OdropWhile(_u18317, _u18318, c_List_Olist_ONil(_u18317)) = c_List_Olist_ONil(_u18317)) )).
% 19.53/19.79 cnf(matrix-7531, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18319), _u18320)) | hBOOL(hAPP(c_List_Odistinct(_u18319), c_List_OdropWhile(_u18319, _u18321, _u18320))) )).
% 19.53/19.79 cnf(matrix-7532, plain, ( ( c_List_OdropWhile(_u18322, _u18323, _u18324) = c_List_Olist_ONil(_u18322)) | ~hBOOL(hAPP(_u18323, hAPP(c_List_Ohd(_u18322), c_List_OdropWhile(_u18322, _u18323, _u18324)))) )).
% 19.53/19.79 cnf(matrix-7533, plain, ( ( c_List_OdropWhile(_u18325, _u18326, hAPP(hAPP(c_List_Omap(_u18327, _u18325), _u18328), _u18329)) = hAPP(hAPP(c_List_Omap(_u18327, _u18325), _u18328), c_List_OdropWhile(_u18327, hAPP(c_Fun_Ocomp(_u18325, tc_HOL_Obool, _u18327, _u18326), _u18328), _u18329))) )).
% 19.53/19.79 cnf(matrix-7534, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18330), _u18331), hAPP(c_List_Oset(_u18330), _u18332))) | hBOOL(hAPP(_u18333, _u18331)) | ( c_List_OdropWhile(_u18330, _u18333, hAPP(hAPP(c_List_Oappend(_u18330), _u18332), _u18334)) = hAPP(hAPP(c_List_Oappend(_u18330), c_List_OdropWhile(_u18330, _u18333, _u18332)), _u18334)) )).
% 19.53/19.79 cnf(matrix-7535, plain, ( ( c_List_OdropWhile(_u18340, _u18342, _u18344) != hAPP(hAPP(c_List_Olist_OCons(_u18340), _u18346), _u18348)) | ( _u18344 = hAPP(hAPP(c_List_Oappend(_u18340), c_List_OtakeWhile(_u18340, _u18342, _u18344)), hAPP(hAPP(c_List_Olist_OCons(_u18340), _u18346), _u18348))) )).
% 19.53/19.79 cnf(matrix-7536, plain, ( ( c_List_OdropWhile(_u18340, _u18342, _u18344) != hAPP(hAPP(c_List_Olist_OCons(_u18340), _u18346), _u18348)) | ~hBOOL(hAPP(_u18342, _u18346)) )).
% 19.53/19.79 cnf(matrix-7537, plain, ( ( _u18345 != hAPP(hAPP(c_List_Oappend(_u18341), c_List_OtakeWhile(_u18341, _u18343, _u18345)), hAPP(hAPP(c_List_Olist_OCons(_u18341), _u18347), _u18349))) | hBOOL(hAPP(_u18343, _u18347)) | ( c_List_OdropWhile(_u18341, _u18343, _u18345) = hAPP(hAPP(c_List_Olist_OCons(_u18341), _u18347), _u18349)) )).
% 19.53/19.79 cnf(matrix-7538, plain, ( ( c_List_OdropWhile(_u18350, _u18351, _u18352) = hAPP(hAPP(c_List_Odrop(_u18350), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18350)), c_List_OtakeWhile(_u18350, _u18351, _u18352))), _u18352)) )).
% 19.53/19.79 cnf(matrix-7539, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18353), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18354)), c_List_OdropWhile(_u18354, _u18355, _u18356)))) | ( hAPP(hAPP(c_List_Onth(_u18354), c_List_OdropWhile(_u18354, _u18355, _u18356)), _u18353) = hAPP(hAPP(c_List_Onth(_u18354), _u18356), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18353), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18354)), c_List_OtakeWhile(_u18354, _u18355, _u18356))))) )).
% 19.53/19.79 cnf(matrix-7540, plain, ( ~class_Groups_Omonoid__add(_u18358) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18358), hAPP(hAPP(c_List_Omap(_u18359, _u18358), _u18362), hAPP(c_List_Ofilter(_u18359, _u18361), _u18360))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18358), hAPP(hAPP(c_List_Omap(_u18359, _u18358), _u18362), _u18360))) | hBOOL(hAPP(hAPP(c_member(_u18359), skolem450(_u18362, _u18361, _u18360, _u18359, _u18358)), hAPP(c_List_Oset(_u18359), _u18360))) )).
% 19.53/19.79 cnf(matrix-7541, plain, ( ~class_Groups_Omonoid__add(_u18358) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18358), hAPP(hAPP(c_List_Omap(_u18359, _u18358), _u18362), hAPP(c_List_Ofilter(_u18359, _u18361), _u18360))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18358), hAPP(hAPP(c_List_Omap(_u18359, _u18358), _u18362), _u18360))) | ~hBOOL(hAPP(_u18361, skolem450(_u18362, _u18361, _u18360, _u18359, _u18358))) )).
% 19.53/19.79 cnf(matrix-7542, plain, ( ~class_Groups_Omonoid__add(_u18358) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18358), hAPP(hAPP(c_List_Omap(_u18359, _u18358), _u18362), hAPP(c_List_Ofilter(_u18359, _u18361), _u18360))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18358), hAPP(hAPP(c_List_Omap(_u18359, _u18358), _u18362), _u18360))) | ( hAPP(_u18362, skolem450(_u18362, _u18361, _u18360, _u18359, _u18358)) != c_Groups_Ozero__class_Ozero(_u18358)) )).
% 19.53/19.79 cnf(matrix-7543, plain, ( ~class_Orderings_Olinorder(_u18365) | c_List_Olinorder__class_Osorted(_u18365, _u18366) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem451(_u18366, _u18365)), skolem452(_u18366, _u18365))) )).
% 19.53/19.79 cnf(matrix-7544, plain, ( ~class_Orderings_Olinorder(_u18365) | c_List_Olinorder__class_Osorted(_u18365, _u18366) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem452(_u18366, _u18365)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18365)), _u18366))) )).
% 19.53/19.79 cnf(matrix-7545, plain, ( ~class_Orderings_Olinorder(_u18365) | c_List_Olinorder__class_Osorted(_u18365, _u18366) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18365), hAPP(hAPP(c_List_Onth(_u18365), _u18366), skolem451(_u18366, _u18365))), hAPP(hAPP(c_List_Onth(_u18365), _u18366), skolem452(_u18366, _u18365)))) )).
% 19.53/19.79 cnf(matrix-7546, plain, ( ( c_List_OtakeWhile(_u18368, _u18369, _u18370) = hAPP(c_List_Ofilter(_u18368, _u18369), _u18370)) | hBOOL(hAPP(hAPP(c_member(_u18368), skolem453(_u18370, _u18369, _u18368)), hAPP(c_List_Oset(_u18368), c_List_OdropWhile(_u18368, _u18369, _u18370)))) )).
% 19.53/19.79 cnf(matrix-7547, plain, ( ( c_List_OtakeWhile(_u18368, _u18369, _u18370) = hAPP(c_List_Ofilter(_u18368, _u18369), _u18370)) | hBOOL(hAPP(_u18369, skolem453(_u18370, _u18369, _u18368))) )).
% 19.53/19.79 cnf(matrix-7548, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem454(_u18375, _u18374, _u18373, _u18372)), _u18372)) | ( c_List_OtakeWhile(_u18373, _u18375, _u18374) = hAPP(hAPP(c_List_Otake(_u18373), _u18372), _u18374)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18372), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18373)), _u18374))) )).
% 19.53/19.79 cnf(matrix-7549, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem454(_u18375, _u18374, _u18373, _u18372)), _u18372)) | ( c_List_OtakeWhile(_u18373, _u18375, _u18374) = hAPP(hAPP(c_List_Otake(_u18373), _u18372), _u18374)) | hBOOL(hAPP(_u18375, hAPP(hAPP(c_List_Onth(_u18373), _u18374), _u18372))) )).
% 19.53/19.79 cnf(matrix-7550, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem454(_u18375, _u18374, _u18373, _u18372)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18373)), _u18374))) | ( c_List_OtakeWhile(_u18373, _u18375, _u18374) = hAPP(hAPP(c_List_Otake(_u18373), _u18372), _u18374)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18372), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18373)), _u18374))) )).
% 19.53/19.79 cnf(matrix-7551, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem454(_u18375, _u18374, _u18373, _u18372)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18373)), _u18374))) | ( c_List_OtakeWhile(_u18373, _u18375, _u18374) = hAPP(hAPP(c_List_Otake(_u18373), _u18372), _u18374)) | hBOOL(hAPP(_u18375, hAPP(hAPP(c_List_Onth(_u18373), _u18374), _u18372))) )).
% 19.53/19.79 cnf(matrix-7552, plain, ( ~hBOOL(hAPP(_u18375, hAPP(hAPP(c_List_Onth(_u18373), _u18374), skolem454(_u18375, _u18374, _u18373, _u18372)))) | ( c_List_OtakeWhile(_u18373, _u18375, _u18374) = hAPP(hAPP(c_List_Otake(_u18373), _u18372), _u18374)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18372), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18373)), _u18374))) )).
% 19.53/19.79 cnf(matrix-7553, plain, ( ~hBOOL(hAPP(_u18375, hAPP(hAPP(c_List_Onth(_u18373), _u18374), skolem454(_u18375, _u18374, _u18373, _u18372)))) | ( c_List_OtakeWhile(_u18373, _u18375, _u18374) = hAPP(hAPP(c_List_Otake(_u18373), _u18372), _u18374)) | hBOOL(hAPP(_u18375, hAPP(hAPP(c_List_Onth(_u18373), _u18374), _u18372))) )).
% 19.53/19.79 cnf(matrix-7554, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18377), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18379)), _u18380))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18377), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18379)), c_List_OtakeWhile(_u18379, _u18378, _u18380)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem455(_u18380, _u18379, _u18378, _u18377)), _u18377)) )).
% 19.53/19.79 cnf(matrix-7555, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18377), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18379)), _u18380))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18377), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18379)), c_List_OtakeWhile(_u18379, _u18378, _u18380)))) | ~hBOOL(hAPP(_u18378, hAPP(hAPP(c_List_Onth(_u18379), _u18380), skolem455(_u18380, _u18379, _u18378, _u18377)))) )).
% 19.53/19.79 cnf(matrix-7556, plain, ( ~class_Orderings_Olinorder(_u18387) | ~c_List_Olinorder__class_Osorted(_u18387, _u18388) | ( _u18388 = c_List_Olist_ONil(_u18387)) | c_List_Olinorder__class_Osorted(_u18387, skolem456(_u18388, _u18387)) )).
% 19.53/19.79 cnf(matrix-7557, plain, ( ~class_Orderings_Olinorder(_u18387) | ~c_List_Olinorder__class_Osorted(_u18387, _u18388) | ( _u18388 = c_List_Olist_ONil(_u18387)) | ( _u18388 = hAPP(hAPP(c_List_Olist_OCons(_u18387), skolem457(_u18388, _u18387)), skolem456(_u18388, _u18387))) )).
% 19.53/19.79 cnf(matrix-7558, plain, ( ~class_Orderings_Olinorder(_u18387) | ~c_List_Olinorder__class_Osorted(_u18387, _u18388) | ( _u18388 = c_List_Olist_ONil(_u18387)) | ~hBOOL(hAPP(hAPP(c_member(_u18387), _u18381), hAPP(c_List_Oset(_u18387), skolem456(_u18388, _u18387)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18387), skolem457(_u18388, _u18387)), _u18381)) )).
% 19.53/19.79 cnf(matrix-7559, plain, ( ~class_Orderings_Olinorder(_u18387) | c_List_Olinorder__class_Osorted(_u18387, _u18388) | ( _u18388 != c_List_Olist_ONil(_u18387)) )).
% 19.53/19.79 cnf(matrix-7560, plain, ( ~class_Orderings_Olinorder(_u18387) | c_List_Olinorder__class_Osorted(_u18387, _u18388) | ~c_List_Olinorder__class_Osorted(_u18387, _u18386) | ( _u18388 != hAPP(hAPP(c_List_Olist_OCons(_u18387), _u18385), _u18386)) | hBOOL(hAPP(hAPP(c_member(_u18387), skolem458(_u18388, _u18387, _u18386, _u18385)), hAPP(c_List_Oset(_u18387), _u18386))) )).
% 19.53/19.79 cnf(matrix-7561, plain, ( ~class_Orderings_Olinorder(_u18387) | c_List_Olinorder__class_Osorted(_u18387, _u18388) | ~c_List_Olinorder__class_Osorted(_u18387, _u18386) | ( _u18388 != hAPP(hAPP(c_List_Olist_OCons(_u18387), _u18385), _u18386)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18387), _u18385), skolem458(_u18388, _u18387, _u18386, _u18385))) )).
% 19.53/19.79 cnf(matrix-7562, plain, ( hBOOL(hAPP(hAPP(c_member(_u18389), _u18390), hAPP(c_List_Oset(_u18389), _u18391))) | ( c_List_Oinsert(_u18389, _u18390, _u18391) = hAPP(hAPP(c_List_Olist_OCons(_u18389), _u18390), _u18391)) )).
% 19.53/19.79 cnf(matrix-7563, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18395), _u18397), hAPP(c_List_Oset(_u18395), _u18399))) | ( c_List_Oinsert(_u18395, _u18397, _u18399) = _u18399) )).
% 19.53/19.79 cnf(matrix-7564, plain, ( hBOOL(hAPP(hAPP(c_member(_u18396), _u18398), hAPP(c_List_Oset(_u18396), _u18400))) | ( c_List_Oinsert(_u18396, _u18398, _u18400) = hAPP(hAPP(c_List_Olist_OCons(_u18396), _u18398), _u18400)) )).
% 19.53/19.79 cnf(matrix-7565, plain, ( ( c_List_Oinsert(_u18401, _u18402, c_List_Oremdups(_u18401, _u18403)) = c_List_Oremdups(_u18401, c_List_Oinsert(_u18401, _u18402, _u18403))) )).
% 19.53/19.79 cnf(matrix-7566, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18404), _u18405)) | hBOOL(hAPP(c_List_Odistinct(_u18404), c_List_Oinsert(_u18404, _u18406, _u18405))) )).
% 19.53/19.79 cnf(matrix-7567, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18407), _u18408), hAPP(c_List_Oset(_u18407), _u18409))) | ( c_List_Oinsert(_u18407, _u18408, _u18409) = _u18409) )).
% 19.53/19.79 cnf(matrix-7568, plain, ( ( hAPP(c_List_Oset(_u18410), c_List_Oinsert(_u18410, _u18411, _u18412)) = hAPP(hAPP(c_Set_Oinsert(_u18410), _u18411), hAPP(c_List_Oset(_u18410), _u18412))) )).
% 19.53/19.79 cnf(matrix-7569, plain, ( ( c_List_Oinsert(_u18413, _u18414, c_List_Olist_ONil(_u18413)) = hAPP(hAPP(c_List_Olist_OCons(_u18413), _u18414), c_List_Olist_ONil(_u18413))) )).
% 19.53/19.79 cnf(matrix-7570, plain, ( ( c_List_Oconcat(_u18415, hAPP(hAPP(c_List_Omap(_u18416, tc_List_Olist(_u18415)), _u18417), _u18418)) = c_List_Omaps(_u18416, _u18415, _u18417, _u18418)) )).
% 19.53/19.79 cnf(matrix-7571, plain, ( ( c_List_Omaps(_u18419, _u18420, _u18421, _u18422) = c_List_Oconcat(_u18420, hAPP(hAPP(c_List_Omap(_u18419, tc_List_Olist(_u18420)), _u18421), _u18422))) )).
% 19.53/19.79 cnf(matrix-7572, plain, ( ( c_List_Omaps(_u18423, _u18424, _u18425, c_List_Olist_ONil(_u18423)) = c_List_Olist_ONil(_u18424)) )).
% 19.53/19.79 cnf(matrix-7573, plain, ( ( c_List_Omaps(_u18426, _u18427, _u18428, hAPP(hAPP(c_List_Olist_OCons(_u18426), _u18429), _u18430)) = hAPP(hAPP(c_List_Oappend(_u18427), hAPP(_u18428, _u18429)), c_List_Omaps(_u18426, _u18427, _u18428, _u18430))) )).
% 19.53/19.79 cnf(matrix-7574, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18434)), _u18435)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18434)), skolem459(_u18435, _u18434)), hAPP(c_List_Oset(tc_List_Olist(_u18434)), _u18435))) | hBOOL(hAPP(c_List_Odistinct(_u18434), c_List_Oconcat(_u18434, _u18435))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18434)), skolem460(_u18435, _u18434)), hAPP(c_List_Oset(tc_List_Olist(_u18434)), _u18435))) )).
% 19.53/19.79 cnf(matrix-7575, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18434)), _u18435)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18434)), skolem459(_u18435, _u18434)), hAPP(c_List_Oset(tc_List_Olist(_u18434)), _u18435))) | hBOOL(hAPP(c_List_Odistinct(_u18434), c_List_Oconcat(_u18434, _u18435))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18434)), skolem461(_u18435, _u18434)), hAPP(c_List_Oset(tc_List_Olist(_u18434)), _u18435))) )).
% 19.53/19.79 cnf(matrix-7576, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18434)), _u18435)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18434)), skolem459(_u18435, _u18434)), hAPP(c_List_Oset(tc_List_Olist(_u18434)), _u18435))) | hBOOL(hAPP(c_List_Odistinct(_u18434), c_List_Oconcat(_u18434, _u18435))) | ( skolem460(_u18435, _u18434) != skolem461(_u18435, _u18434)) )).
% 19.53/19.79 cnf(matrix-7577, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18434)), _u18435)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18434)), skolem459(_u18435, _u18434)), hAPP(c_List_Oset(tc_List_Olist(_u18434)), _u18435))) | hBOOL(hAPP(c_List_Odistinct(_u18434), c_List_Oconcat(_u18434, _u18435))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18434, tc_HOL_Obool)), hAPP(c_List_Oset(_u18434), skolem460(_u18435, _u18434))), hAPP(c_List_Oset(_u18434), skolem461(_u18435, _u18434))) != c_Orderings_Obot__class_Obot(tc_fun(_u18434, tc_HOL_Obool))) )).
% 19.53/19.79 cnf(matrix-7578, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18434)), _u18435)) | ~hBOOL(hAPP(c_List_Odistinct(_u18434), skolem459(_u18435, _u18434))) | hBOOL(hAPP(c_List_Odistinct(_u18434), c_List_Oconcat(_u18434, _u18435))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18434)), skolem460(_u18435, _u18434)), hAPP(c_List_Oset(tc_List_Olist(_u18434)), _u18435))) )).
% 19.53/19.79 cnf(matrix-7579, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18434)), _u18435)) | ~hBOOL(hAPP(c_List_Odistinct(_u18434), skolem459(_u18435, _u18434))) | hBOOL(hAPP(c_List_Odistinct(_u18434), c_List_Oconcat(_u18434, _u18435))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18434)), skolem461(_u18435, _u18434)), hAPP(c_List_Oset(tc_List_Olist(_u18434)), _u18435))) )).
% 19.53/19.79 cnf(matrix-7580, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18434)), _u18435)) | ~hBOOL(hAPP(c_List_Odistinct(_u18434), skolem459(_u18435, _u18434))) | hBOOL(hAPP(c_List_Odistinct(_u18434), c_List_Oconcat(_u18434, _u18435))) | ( skolem460(_u18435, _u18434) != skolem461(_u18435, _u18434)) )).
% 19.53/19.79 cnf(matrix-7581, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u18434)), _u18435)) | ~hBOOL(hAPP(c_List_Odistinct(_u18434), skolem459(_u18435, _u18434))) | hBOOL(hAPP(c_List_Odistinct(_u18434), c_List_Oconcat(_u18434, _u18435))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18434, tc_HOL_Obool)), hAPP(c_List_Oset(_u18434), skolem460(_u18435, _u18434))), hAPP(c_List_Oset(_u18434), skolem461(_u18435, _u18434))) != c_Orderings_Obot__class_Obot(tc_fun(_u18434, tc_HOL_Obool))) )).
% 19.53/19.79 cnf(matrix-7582, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u18436, _u18437)), hAPP(_u18436, _u18438))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18439, _u18439)), hAPP(hAPP(c_Product__Type_OPair(_u18439, _u18439), _u18437), _u18438)), c_List_Omeasures(_u18439, _u18440))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18439, _u18439)), hAPP(hAPP(c_Product__Type_OPair(_u18439, _u18439), _u18437), _u18438)), c_List_Omeasures(_u18439, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18439, tc_Nat_Onat)), _u18436), _u18440)))) )).
% 19.53/19.79 cnf(matrix-7583, plain, ( c_Wellfounded_Owf(_u18441, c_List_Omeasures(_u18441, _u18442)) )).
% 19.53/19.79 cnf(matrix-7584, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18443, _u18443)), hAPP(hAPP(c_Product__Type_OPair(_u18443, _u18443), _u18444), _u18445)), c_List_Omeasures(_u18443, c_List_Olist_ONil(tc_fun(_u18443, tc_Nat_Onat))))) )).
% 19.53/19.79 cnf(matrix-7585, plain, ( ( c_List_Omeasures(_u18446, _u18447) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat), _u18446), c_List_Olex(tc_Nat_Onat, c_Wellfounded_Oless__than)), hAPP(hAPP(c_COMBC(_u18446, tc_List_Olist(tc_fun(_u18446, tc_Nat_Onat)), tc_List_Olist(tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u18446, tc_Nat_Onat), tc_Nat_Onat), tc_fun(tc_List_Olist(tc_fun(_u18446, tc_Nat_Onat)), tc_List_Olist(tc_Nat_Onat)), _u18446), c_List_Omap(tc_fun(_u18446, tc_Nat_Onat), tc_Nat_Onat)), hAPP(c_COMBC(tc_fun(_u18446, tc_Nat_Onat), _u18446, tc_Nat_Onat), c_COMBI(tc_fun(_u18446, tc_Nat_Onat))))), _u18447))) )).
% 19.53/19.79 cnf(matrix-7586, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18448, _u18449)), hAPP(_u18448, _u18450))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18451, _u18451)), hAPP(hAPP(c_Product__Type_OPair(_u18451, _u18451), _u18449), _u18450)), c_List_Omeasures(_u18451, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18451, tc_Nat_Onat)), _u18448), _u18452)))) )).
% 19.53/19.79 cnf(matrix-7587, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18458, _u18458)), hAPP(hAPP(c_Product__Type_OPair(_u18458, _u18458), _u18460), _u18462)), c_List_Omeasures(_u18458, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18458, tc_Nat_Onat)), _u18464), _u18466)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18464, _u18460)), hAPP(_u18464, _u18462))) | ( hAPP(_u18464, _u18460) = hAPP(_u18464, _u18462)) )).
% 19.53/19.79 cnf(matrix-7588, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18458, _u18458)), hAPP(hAPP(c_Product__Type_OPair(_u18458, _u18458), _u18460), _u18462)), c_List_Omeasures(_u18458, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18458, tc_Nat_Onat)), _u18464), _u18466)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18464, _u18460)), hAPP(_u18464, _u18462))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18458, _u18458)), hAPP(hAPP(c_Product__Type_OPair(_u18458, _u18458), _u18460), _u18462)), c_List_Omeasures(_u18458, _u18466))) )).
% 19.53/19.79 cnf(matrix-7589, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u18459, _u18459)), hAPP(hAPP(c_Product__Type_OPair(_u18459, _u18459), _u18461), _u18463)), c_List_Omeasures(_u18459, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18459, tc_Nat_Onat)), _u18465), _u18467)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u18465, _u18461)), hAPP(_u18465, _u18463))) )).
% 19.53/19.79 cnf(matrix-7590, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u18459, _u18459)), hAPP(hAPP(c_Product__Type_OPair(_u18459, _u18459), _u18461), _u18463)), c_List_Omeasures(_u18459, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u18459, tc_Nat_Onat)), _u18465), _u18467)))) | ( hAPP(_u18465, _u18461) != hAPP(_u18465, _u18463)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18459, _u18459)), hAPP(hAPP(c_Product__Type_OPair(_u18459, _u18459), _u18461), _u18463)), c_List_Omeasures(_u18459, _u18467))) )).
% 19.53/19.79 cnf(matrix-7591, plain, ( ( hAPP(c_List_Ofoldl(_u18471, _u18469, hAPP(c_COMBC(_u18469, _u18471, _u18471), _u18473), hAPP(_u18474, _u18476)), _u18470) = hAPP(_u18474, hAPP(c_List_Ofoldl(_u18472, _u18469, hAPP(c_COMBC(_u18469, _u18472, _u18472), _u18475), _u18476), _u18470))) | hBOOL(hAPP(hAPP(c_member(_u18469), skolem462(_u18476, _u18475, _u18474, _u18473, _u18472, _u18471, _u18470, _u18469)), hAPP(c_List_Oset(_u18469), _u18470))) )).
% 19.53/19.79 cnf(matrix-7592, plain, ( ( hAPP(c_List_Ofoldl(_u18471, _u18469, hAPP(c_COMBC(_u18469, _u18471, _u18471), _u18473), hAPP(_u18474, _u18476)), _u18470) = hAPP(_u18474, hAPP(c_List_Ofoldl(_u18472, _u18469, hAPP(c_COMBC(_u18469, _u18472, _u18472), _u18475), _u18476), _u18470))) | ( hAPP(c_Fun_Ocomp(_u18471, _u18471, _u18472, hAPP(_u18473, skolem462(_u18476, _u18475, _u18474, _u18473, _u18472, _u18471, _u18470, _u18469))), _u18474) != hAPP(c_Fun_Ocomp(_u18472, _u18471, _u18472, _u18474), hAPP(_u18475, skolem462(_u18476, _u18475, _u18474, _u18473, _u18472, _u18471, _u18470, _u18469)))) )).
% 19.53/19.79 cnf(matrix-7593, plain, ( ~class_Orderings_Oorder(_u18477) | ~class_Enum_Oenum(_u18478) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u18478, _u18477)), _u18479), _u18480)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18478, _u18477)), _u18479), _u18480)) )).
% 19.53/19.79 cnf(matrix-7594, plain, ( ~class_Orderings_Oorder(_u18477) | ~class_Enum_Oenum(_u18478) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u18478, _u18477)), _u18479), _u18480)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18478), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18478), c_fNot), hAPP(hAPP(c_COMBS(_u18478, _u18477, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18477, tc_fun(_u18477, tc_HOL_Obool), _u18478), c_fequal), _u18479)), _u18480)))) )).
% 19.53/19.79 cnf(matrix-7595, plain, ( ~class_Orderings_Oorder(_u18477) | ~class_Enum_Oenum(_u18478) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18478, _u18477)), _u18479), _u18480)) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18478), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18478), c_fNot), hAPP(hAPP(c_COMBS(_u18478, _u18477, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18477, tc_fun(_u18477, tc_HOL_Obool), _u18478), c_fequal), _u18479)), _u18480)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u18478, _u18477)), _u18479), _u18480)) )).
% 19.53/19.79 cnf(matrix-7596, plain, ( ~class_Enum_Oenum(_u18481) | ~class_Enum_Oenum(_u18482) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(_u18482, _u18481)), _u18483)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18482), hAPP(hAPP(c_COMBB(tc_fun(_u18481, tc_HOL_Obool), tc_HOL_Obool, _u18482), c_Enum_Oenum__class_Oenum__ex(_u18481)), hAPP(hAPP(c_COMBB(tc_fun(_u18481, tc_prod(_u18482, _u18481)), tc_fun(_u18481, tc_HOL_Obool), _u18482), hAPP(c_COMBB(tc_prod(_u18482, _u18481), tc_HOL_Obool, _u18481), _u18483)), c_Product__Type_OPair(_u18482, _u18481))))) )).
% 19.53/19.79 cnf(matrix-7597, plain, ( ~class_Enum_Oenum(_u18481) | ~class_Enum_Oenum(_u18482) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18482), hAPP(hAPP(c_COMBB(tc_fun(_u18481, tc_HOL_Obool), tc_HOL_Obool, _u18482), c_Enum_Oenum__class_Oenum__ex(_u18481)), hAPP(hAPP(c_COMBB(tc_fun(_u18481, tc_prod(_u18482, _u18481)), tc_fun(_u18481, tc_HOL_Obool), _u18482), hAPP(c_COMBB(tc_prod(_u18482, _u18481), tc_HOL_Obool, _u18481), _u18483)), c_Product__Type_OPair(_u18482, _u18481))))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(_u18482, _u18481)), _u18483)) )).
% 19.53/19.79 cnf(matrix-7598, plain, ( ~class_Enum_Oenum(_u18486) | ~hBOOL(hAPP(_u18487, _u18484)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18486), _u18487)) )).
% 19.53/19.79 cnf(matrix-7599, plain, ( ~class_Enum_Oenum(_u18486) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18486), _u18487)) | hBOOL(hAPP(_u18487, skolem463(_u18487, _u18486))) )).
% 19.53/19.79 cnf(matrix-7600, plain, ( ~class_Enum_Oenum(_u18490) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18490), _u18491)) | hBOOL(hAPP(_u18491, skolem464(_u18491, _u18490))) )).
% 19.53/19.79 cnf(matrix-7601, plain, ( ~class_Enum_Oenum(_u18490) | ~hBOOL(hAPP(_u18491, _u18489)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u18490), _u18491)) )).
% 19.53/19.79 cnf(matrix-7602, plain, ( hBOOL(hAPP(_u18496, hAPP(hAPP(c_List_Ozip(_u18492, _u18494), _u18493), _u18495))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18492)), hAPP(hAPP(c_List_Otake(_u18492), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18492)), _u18493)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18494)), _u18495))), _u18493)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18494)), hAPP(hAPP(c_List_Otake(_u18494), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18492)), _u18493)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18494)), _u18495))), _u18495))) )).
% 19.53/19.79 cnf(matrix-7603, plain, ( hBOOL(hAPP(_u18496, hAPP(hAPP(c_List_Ozip(_u18492, _u18494), _u18493), _u18495))) | ~hBOOL(hAPP(_u18496, hAPP(hAPP(c_List_Ozip(_u18492, _u18494), hAPP(hAPP(c_List_Otake(_u18492), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18492)), _u18493)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18494)), _u18495))), _u18493)), hAPP(hAPP(c_List_Otake(_u18494), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18492)), _u18493)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18494)), _u18495))), _u18495)))) )).
% 19.53/19.79 cnf(matrix-7604, plain, ( ( c_New__Random__Sequence_Opos__not__random__dseq(_u18497, _u18498, _u18499, _u18500) = c_New__DSequence_Opos__not__seq(hAPP(hAPP(hAPP(_u18497, _u18498), _u18499), _u18500))) )).
% 19.53/19.79 cnf(matrix-7605, plain, ( ( c_List_OdropWhile(_u18502, _u18504, hAPP(hAPP(c_List_Oappend(_u18502), _u18503), _u18505)) = c_List_OdropWhile(_u18502, _u18504, _u18505)) | hBOOL(hAPP(hAPP(c_member(_u18502), skolem465(_u18505, _u18504, _u18503, _u18502)), hAPP(c_List_Oset(_u18502), _u18503))) )).
% 19.53/19.79 cnf(matrix-7606, plain, ( ( c_List_OdropWhile(_u18502, _u18504, hAPP(hAPP(c_List_Oappend(_u18502), _u18503), _u18505)) = c_List_OdropWhile(_u18502, _u18504, _u18505)) | ~hBOOL(hAPP(_u18504, skolem465(_u18505, _u18504, _u18503, _u18502))) )).
% 19.53/19.79 cnf(matrix-7607, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18507)), _u18508) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18509)), _u18510)) | c_List_Olist__all2(_u18507, _u18509, _u18511, _u18508, _u18510) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem466(_u18511, _u18510, _u18509, _u18508, _u18507)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18507)), _u18508))) )).
% 19.53/19.79 cnf(matrix-7608, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18507)), _u18508) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18509)), _u18510)) | c_List_Olist__all2(_u18507, _u18509, _u18511, _u18508, _u18510) | ~hBOOL(hAPP(hAPP(_u18511, hAPP(hAPP(c_List_Onth(_u18507), _u18508), skolem466(_u18511, _u18510, _u18509, _u18508, _u18507))), hAPP(hAPP(c_List_Onth(_u18509), _u18510), skolem466(_u18511, _u18510, _u18509, _u18508, _u18507)))) )).
% 19.53/19.79 cnf(matrix-7609, plain, ( ~class_Orderings_Olinorder(_u18514) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18514), _u18515)) | ( hAPP(c_List_Oset(_u18514), skolem467(_u18515, _u18514)) = _u18515) )).
% 19.53/19.79 cnf(matrix-7610, plain, ( ~class_Orderings_Olinorder(_u18514) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18514), _u18515)) | c_List_Olinorder__class_Osorted(_u18514, skolem467(_u18515, _u18514)) )).
% 19.53/19.79 cnf(matrix-7611, plain, ( ~class_Orderings_Olinorder(_u18514) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18514), _u18515)) | hBOOL(hAPP(c_List_Odistinct(_u18514), skolem467(_u18515, _u18514))) )).
% 19.53/19.79 cnf(matrix-7612, plain, ( ~class_Orderings_Olinorder(_u18514) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18514), _u18515)) | ( hAPP(c_List_Oset(_u18514), _u18512) != _u18515) | ~c_List_Olinorder__class_Osorted(_u18514, _u18512) | ~hBOOL(hAPP(c_List_Odistinct(_u18514), _u18512)) | ( _u18512 = skolem467(_u18515, _u18514)) )).
% 19.53/19.79 cnf(matrix-7613, plain, ( ( c_List_OtakeWhile(_u18517, _u18519, hAPP(hAPP(c_List_Oappend(_u18517), _u18518), _u18520)) = hAPP(hAPP(c_List_Oappend(_u18517), _u18518), c_List_OtakeWhile(_u18517, _u18519, _u18520))) | hBOOL(hAPP(hAPP(c_member(_u18517), skolem468(_u18520, _u18519, _u18518, _u18517)), hAPP(c_List_Oset(_u18517), _u18518))) )).
% 19.53/19.79 cnf(matrix-7614, plain, ( ( c_List_OtakeWhile(_u18517, _u18519, hAPP(hAPP(c_List_Oappend(_u18517), _u18518), _u18520)) = hAPP(hAPP(c_List_Oappend(_u18517), _u18518), c_List_OtakeWhile(_u18517, _u18519, _u18520))) | ~hBOOL(hAPP(_u18519, skolem468(_u18520, _u18519, _u18518, _u18517))) )).
% 19.53/19.79 cnf(matrix-7615, plain, ( ~class_Orderings_Olinorder(_u18522) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18523, _u18522, _u18525), _u18526), _u18524) = hAPP(hAPP(c_List_Olist_OCons(_u18523), _u18526), _u18524)) | hBOOL(hAPP(hAPP(c_member(_u18523), skolem469(_u18526, _u18525, _u18524, _u18523, _u18522)), hAPP(c_List_Oset(_u18523), _u18524))) )).
% 19.53/19.79 cnf(matrix-7616, plain, ( ~class_Orderings_Olinorder(_u18522) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18523, _u18522, _u18525), _u18526), _u18524) = hAPP(hAPP(c_List_Olist_OCons(_u18523), _u18526), _u18524)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18522), hAPP(_u18525, _u18526)), hAPP(_u18525, skolem469(_u18526, _u18525, _u18524, _u18523, _u18522)))) )).
% 19.53/19.79 cnf(matrix-7617, plain, ( ( hAPP(c_List_Ofilter(_u18538, _u18540), _u18542) != hAPP(hAPP(c_List_Olist_OCons(_u18538), _u18544), _u18546)) | hBOOL(hAPP(_u18540, _u18544)) )).
% 19.53/19.79 cnf(matrix-7618, plain, ( ( hAPP(c_List_Ofilter(_u18538, _u18540), _u18542) != hAPP(hAPP(c_List_Olist_OCons(_u18538), _u18544), _u18546)) | ~hBOOL(hAPP(hAPP(c_member(_u18538), _u18527), hAPP(c_List_Oset(_u18538), skolem470(_u18546, _u18544, _u18542, _u18540, _u18538)))) | ~hBOOL(hAPP(_u18540, _u18527)) )).
% 19.53/19.79 cnf(matrix-7619, plain, ( ( hAPP(c_List_Ofilter(_u18538, _u18540), _u18542) != hAPP(hAPP(c_List_Olist_OCons(_u18538), _u18544), _u18546)) | ( _u18542 = hAPP(hAPP(c_List_Oappend(_u18538), skolem470(_u18546, _u18544, _u18542, _u18540, _u18538)), hAPP(hAPP(c_List_Olist_OCons(_u18538), _u18544), skolem471(_u18546, _u18544, _u18542, _u18540, _u18538)))) )).
% 19.53/19.79 cnf(matrix-7620, plain, ( ( hAPP(c_List_Ofilter(_u18538, _u18540), _u18542) != hAPP(hAPP(c_List_Olist_OCons(_u18538), _u18544), _u18546)) | ( _u18546 = hAPP(c_List_Ofilter(_u18538, _u18540), skolem471(_u18546, _u18544, _u18542, _u18540, _u18538))) )).
% 19.53/19.79 cnf(matrix-7621, plain, ( ( hAPP(c_List_Ofilter(_u18539, _u18541), _u18543) = hAPP(hAPP(c_List_Olist_OCons(_u18539), _u18545), _u18547)) | ~hBOOL(hAPP(_u18541, _u18545)) | ( _u18543 != hAPP(hAPP(c_List_Oappend(_u18539), _u18532), hAPP(hAPP(c_List_Olist_OCons(_u18539), _u18545), _u18531))) | ( _u18547 != hAPP(c_List_Ofilter(_u18539, _u18541), _u18531)) | hBOOL(hAPP(hAPP(c_member(_u18539), skolem472(_u18547, _u18545, _u18543, _u18541, _u18539, _u18532)), hAPP(c_List_Oset(_u18539), _u18532))) )).
% 19.53/19.79 cnf(matrix-7622, plain, ( ( hAPP(c_List_Ofilter(_u18539, _u18541), _u18543) = hAPP(hAPP(c_List_Olist_OCons(_u18539), _u18545), _u18547)) | ~hBOOL(hAPP(_u18541, _u18545)) | ( _u18543 != hAPP(hAPP(c_List_Oappend(_u18539), _u18532), hAPP(hAPP(c_List_Olist_OCons(_u18539), _u18545), _u18531))) | ( _u18547 != hAPP(c_List_Ofilter(_u18539, _u18541), _u18531)) | hBOOL(hAPP(_u18541, skolem472(_u18547, _u18545, _u18543, _u18541, _u18539, _u18532))) )).
% 19.53/19.79 cnf(matrix-7623, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18559), _u18561), _u18563) != hAPP(c_List_Ofilter(_u18559, _u18565), _u18567)) | hBOOL(hAPP(_u18565, _u18561)) )).
% 19.53/19.79 cnf(matrix-7624, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18559), _u18561), _u18563) != hAPP(c_List_Ofilter(_u18559, _u18565), _u18567)) | ~hBOOL(hAPP(hAPP(c_member(_u18559), _u18548), hAPP(c_List_Oset(_u18559), skolem473(_u18567, _u18565, _u18563, _u18561, _u18559)))) | ~hBOOL(hAPP(_u18565, _u18548)) )).
% 19.53/19.79 cnf(matrix-7625, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18559), _u18561), _u18563) != hAPP(c_List_Ofilter(_u18559, _u18565), _u18567)) | ( _u18567 = hAPP(hAPP(c_List_Oappend(_u18559), skolem473(_u18567, _u18565, _u18563, _u18561, _u18559)), hAPP(hAPP(c_List_Olist_OCons(_u18559), _u18561), skolem474(_u18567, _u18565, _u18563, _u18561, _u18559)))) )).
% 19.53/19.79 cnf(matrix-7626, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18559), _u18561), _u18563) != hAPP(c_List_Ofilter(_u18559, _u18565), _u18567)) | ( _u18563 = hAPP(c_List_Ofilter(_u18559, _u18565), skolem474(_u18567, _u18565, _u18563, _u18561, _u18559))) )).
% 19.53/19.79 cnf(matrix-7627, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18560), _u18562), _u18564) = hAPP(c_List_Ofilter(_u18560, _u18566), _u18568)) | ~hBOOL(hAPP(_u18566, _u18562)) | ( _u18568 != hAPP(hAPP(c_List_Oappend(_u18560), _u18553), hAPP(hAPP(c_List_Olist_OCons(_u18560), _u18562), _u18552))) | ( _u18564 != hAPP(c_List_Ofilter(_u18560, _u18566), _u18552)) | hBOOL(hAPP(hAPP(c_member(_u18560), skolem475(_u18568, _u18566, _u18564, _u18562, _u18560, _u18553)), hAPP(c_List_Oset(_u18560), _u18553))) )).
% 19.53/19.79 cnf(matrix-7628, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18560), _u18562), _u18564) = hAPP(c_List_Ofilter(_u18560, _u18566), _u18568)) | ~hBOOL(hAPP(_u18566, _u18562)) | ( _u18568 != hAPP(hAPP(c_List_Oappend(_u18560), _u18553), hAPP(hAPP(c_List_Olist_OCons(_u18560), _u18562), _u18552))) | ( _u18564 != hAPP(c_List_Ofilter(_u18560, _u18566), _u18552)) | hBOOL(hAPP(_u18566, skolem475(_u18568, _u18566, _u18564, _u18562, _u18560, _u18553))) )).
% 19.53/19.79 cnf(matrix-7629, plain, ( ~class_Orderings_Oorder(_u18569) | ~class_Enum_Oenum(_u18570) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18570, _u18569)), _u18571), _u18572)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18570), hAPP(hAPP(c_COMBS(_u18570, _u18569, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18569, tc_fun(_u18569, tc_HOL_Obool), _u18570), c_Orderings_Oord__class_Oless__eq(_u18569)), _u18571)), _u18572))) )).
% 19.53/19.79 cnf(matrix-7630, plain, ( ~class_Orderings_Oorder(_u18569) | ~class_Enum_Oenum(_u18570) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18570), hAPP(hAPP(c_COMBS(_u18570, _u18569, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18569, tc_fun(_u18569, tc_HOL_Obool), _u18570), c_Orderings_Oord__class_Oless__eq(_u18569)), _u18571)), _u18572))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18570, _u18569)), _u18571), _u18572)) )).
% 19.53/19.79 cnf(matrix-7631, plain, ( ~class_Enum_Oenum(_u18575) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18575), _u18576)) | hBOOL(hAPP(_u18576, _u18573)) )).
% 19.53/19.79 cnf(matrix-7632, plain, ( ~class_Enum_Oenum(_u18575) | ~hBOOL(hAPP(_u18576, skolem476(_u18576, _u18575))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18575), _u18576)) )).
% 19.53/19.79 cnf(matrix-7633, plain, ( ~class_Enum_Oenum(_u18579) | ~hBOOL(hAPP(_u18580, skolem477(_u18580, _u18579))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18579), _u18580)) )).
% 19.53/19.79 cnf(matrix-7634, plain, ( ~class_Enum_Oenum(_u18579) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18579), _u18580)) | hBOOL(hAPP(_u18580, _u18578)) )).
% 19.53/19.79 cnf(matrix-7635, plain, ( ~class_Enum_Oenum(_u18581) | ~class_Enum_Oenum(_u18582) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(_u18582, _u18581)), _u18583)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18582), hAPP(hAPP(c_COMBB(tc_fun(_u18581, tc_HOL_Obool), tc_HOL_Obool, _u18582), c_Enum_Oenum__class_Oenum__all(_u18581)), hAPP(hAPP(c_COMBB(tc_fun(_u18581, tc_prod(_u18582, _u18581)), tc_fun(_u18581, tc_HOL_Obool), _u18582), hAPP(c_COMBB(tc_prod(_u18582, _u18581), tc_HOL_Obool, _u18581), _u18583)), c_Product__Type_OPair(_u18582, _u18581))))) )).
% 19.53/19.79 cnf(matrix-7636, plain, ( ~class_Enum_Oenum(_u18581) | ~class_Enum_Oenum(_u18582) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u18582), hAPP(hAPP(c_COMBB(tc_fun(_u18581, tc_HOL_Obool), tc_HOL_Obool, _u18582), c_Enum_Oenum__class_Oenum__all(_u18581)), hAPP(hAPP(c_COMBB(tc_fun(_u18581, tc_prod(_u18582, _u18581)), tc_fun(_u18581, tc_HOL_Obool), _u18582), hAPP(c_COMBB(tc_prod(_u18582, _u18581), tc_HOL_Obool, _u18581), _u18583)), c_Product__Type_OPair(_u18582, _u18581))))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(_u18582, _u18581)), _u18583)) )).
% 19.53/19.79 cnf(matrix-7637, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18585), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18586)), _u18587))) | hBOOL(hAPP(_u18588, hAPP(hAPP(c_List_Onth(_u18586), _u18587), _u18585))) | hBOOL(hAPP(hAPP(c_member(_u18586), skolem478(_u18588, _u18587, _u18586, _u18585)), hAPP(c_List_Oset(_u18586), _u18587))) )).
% 19.53/19.79 cnf(matrix-7638, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18585), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18586)), _u18587))) | hBOOL(hAPP(_u18588, hAPP(hAPP(c_List_Onth(_u18586), _u18587), _u18585))) | ~hBOOL(hAPP(_u18588, skolem478(_u18588, _u18587, _u18586, _u18585))) )).
% 19.53/19.79 cnf(matrix-7639, plain, ( ~class_Orderings_Olinorder(_u18590) | ~c_List_Olinorder__class_Osorted(_u18590, _u18591) | c_List_Olinorder__class_Osorted(_u18590, hAPP(hAPP(c_List_Olist_OCons(_u18590), _u18592), _u18591)) | hBOOL(hAPP(hAPP(c_member(_u18590), skolem479(_u18592, _u18591, _u18590)), hAPP(c_List_Oset(_u18590), _u18591))) )).
% 19.53/19.79 cnf(matrix-7640, plain, ( ~class_Orderings_Olinorder(_u18590) | ~c_List_Olinorder__class_Osorted(_u18590, _u18591) | c_List_Olinorder__class_Osorted(_u18590, hAPP(hAPP(c_List_Olist_OCons(_u18590), _u18592), _u18591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18590), _u18592), skolem479(_u18592, _u18591, _u18590))) )).
% 19.53/19.79 cnf(matrix-7641, plain, ( ~c_List_Olist__ex(_u18598, _u18600, _u18602) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem480(_u18602, _u18600, _u18598)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18598)), _u18602))) )).
% 19.53/19.79 cnf(matrix-7642, plain, ( ~c_List_Olist__ex(_u18598, _u18600, _u18602) | hBOOL(hAPP(_u18600, hAPP(hAPP(c_List_Onth(_u18598), _u18602), skolem480(_u18602, _u18600, _u18598)))) )).
% 19.53/19.79 cnf(matrix-7643, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18594), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18599)), _u18603))) | ~hBOOL(hAPP(_u18601, hAPP(hAPP(c_List_Onth(_u18599), _u18603), _u18594))) | c_List_Olist__ex(_u18599, _u18601, _u18603) )).
% 19.53/19.79 cnf(matrix-7644, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18611), _u18613), hAPP(c_List_Oset(_u18611), _u18615))) | ( _u18615 = hAPP(hAPP(c_List_Oappend(_u18611), skolem481(_u18615, _u18613, _u18611)), hAPP(hAPP(c_List_Olist_OCons(_u18611), _u18613), skolem482(_u18615, _u18613, _u18611)))) )).
% 19.53/19.79 cnf(matrix-7645, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18611), _u18613), hAPP(c_List_Oset(_u18611), _u18615))) | ~hBOOL(hAPP(hAPP(c_member(_u18611), _u18613), hAPP(c_List_Oset(_u18611), skolem481(_u18615, _u18613, _u18611)))) )).
% 19.53/19.79 cnf(matrix-7646, plain, ( ( _u18616 != hAPP(hAPP(c_List_Oappend(_u18612), _u18607), hAPP(hAPP(c_List_Olist_OCons(_u18612), _u18614), _u18606))) | hBOOL(hAPP(hAPP(c_member(_u18612), _u18614), hAPP(c_List_Oset(_u18612), _u18607))) | hBOOL(hAPP(hAPP(c_member(_u18612), _u18614), hAPP(c_List_Oset(_u18612), _u18616))) )).
% 19.53/19.79 cnf(matrix-7647, plain, ( ~c_List_Olist__ex(_u18617, _u18618, c_List_Olist_ONil(_u18617)) )).
% 19.53/19.79 cnf(matrix-7648, plain, ( ~c_List_Olist__ex(_u18623, _u18625, hAPP(hAPP(c_List_Oappend(_u18623), _u18627), _u18629)) | c_List_Olist__ex(_u18623, _u18625, _u18627) | c_List_Olist__ex(_u18623, _u18625, _u18629) )).
% 19.53/19.79 cnf(matrix-7649, plain, ( c_List_Olist__ex(_u18624, _u18626, hAPP(hAPP(c_List_Oappend(_u18624), _u18628), _u18630)) | ~c_List_Olist__ex(_u18624, _u18626, _u18628) )).
% 19.53/19.79 cnf(matrix-7650, plain, ( c_List_Olist__ex(_u18624, _u18626, hAPP(hAPP(c_List_Oappend(_u18624), _u18628), _u18630)) | ~c_List_Olist__ex(_u18624, _u18626, _u18630) )).
% 19.53/19.79 cnf(matrix-7651, plain, ( ~c_List_Olist__ex(_u18636, _u18638, _u18640) | hBOOL(hAPP(hAPP(c_member(_u18636), skolem483(_u18640, _u18638, _u18636)), hAPP(c_List_Oset(_u18636), _u18640))) )).
% 19.53/19.79 cnf(matrix-7652, plain, ( ~c_List_Olist__ex(_u18636, _u18638, _u18640) | hBOOL(hAPP(_u18638, skolem483(_u18640, _u18638, _u18636))) )).
% 19.53/19.79 cnf(matrix-7653, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18637), _u18632), hAPP(c_List_Oset(_u18637), _u18641))) | ~hBOOL(hAPP(_u18639, _u18632)) | c_List_Olist__ex(_u18637, _u18639, _u18641) )).
% 19.53/19.79 cnf(matrix-7654, plain, ( ~c_List_Olist__ex(_u18645, _u18647, hAPP(c_List_Orev(_u18645), _u18649)) | c_List_Olist__ex(_u18645, _u18647, _u18649) )).
% 19.53/19.79 cnf(matrix-7655, plain, ( ~c_List_Olist__ex(_u18646, _u18648, _u18650) | c_List_Olist__ex(_u18646, _u18648, hAPP(c_List_Orev(_u18646), _u18650)) )).
% 19.53/19.79 cnf(matrix-7656, plain, ( ~c_List_Olist__ex(_u18655, _u18657, hAPP(hAPP(c_List_Olist_OCons(_u18655), _u18659), _u18661)) | hBOOL(hAPP(_u18657, _u18659)) | c_List_Olist__ex(_u18655, _u18657, _u18661) )).
% 19.53/19.79 cnf(matrix-7657, plain, ( c_List_Olist__ex(_u18656, _u18658, hAPP(hAPP(c_List_Olist_OCons(_u18656), _u18660), _u18662)) | ~hBOOL(hAPP(_u18658, _u18660)) )).
% 19.53/19.79 cnf(matrix-7658, plain, ( c_List_Olist__ex(_u18656, _u18658, hAPP(hAPP(c_List_Olist_OCons(_u18656), _u18660), _u18662)) | ~c_List_Olist__ex(_u18656, _u18658, _u18662) )).
% 19.53/19.79 cnf(matrix-7659, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18670), _u18672), hAPP(c_List_Oset(_u18670), _u18674))) | ( _u18674 = hAPP(hAPP(c_List_Oappend(_u18670), skolem484(_u18674, _u18672, _u18670)), hAPP(hAPP(c_List_Olist_OCons(_u18670), _u18672), skolem485(_u18674, _u18672, _u18670)))) )).
% 19.53/19.79 cnf(matrix-7660, plain, ( ( _u18675 != hAPP(hAPP(c_List_Oappend(_u18671), _u18666), hAPP(hAPP(c_List_Olist_OCons(_u18671), _u18673), _u18665))) | hBOOL(hAPP(hAPP(c_member(_u18671), _u18673), hAPP(c_List_Oset(_u18671), _u18675))) )).
% 19.53/19.79 cnf(matrix-7661, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18683), _u18685), hAPP(c_List_Oset(_u18683), _u18687))) | ( _u18687 = hAPP(hAPP(c_List_Oappend(_u18683), skolem486(_u18687, _u18685, _u18683)), hAPP(hAPP(c_List_Olist_OCons(_u18683), _u18685), skolem487(_u18687, _u18685, _u18683)))) )).
% 19.53/19.79 cnf(matrix-7662, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18683), _u18685), hAPP(c_List_Oset(_u18683), _u18687))) | ~hBOOL(hAPP(hAPP(c_member(_u18683), _u18685), hAPP(c_List_Oset(_u18683), skolem487(_u18687, _u18685, _u18683)))) )).
% 19.53/19.79 cnf(matrix-7663, plain, ( ( _u18688 != hAPP(hAPP(c_List_Oappend(_u18684), _u18679), hAPP(hAPP(c_List_Olist_OCons(_u18684), _u18686), _u18678))) | hBOOL(hAPP(hAPP(c_member(_u18684), _u18686), hAPP(c_List_Oset(_u18684), _u18678))) | hBOOL(hAPP(hAPP(c_member(_u18684), _u18686), hAPP(c_List_Oset(_u18684), _u18688))) )).
% 19.53/19.79 cnf(matrix-7664, plain, ( ~c_List_Olist__all(_u18694, _u18696, _u18698) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18689), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18694)), _u18698))) | hBOOL(hAPP(_u18696, hAPP(hAPP(c_List_Onth(_u18694), _u18698), _u18689))) )).
% 19.53/19.79 cnf(matrix-7665, plain, ( c_List_Olist__all(_u18695, _u18697, _u18699) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem488(_u18699, _u18697, _u18695)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18695)), _u18699))) )).
% 19.53/19.79 cnf(matrix-7666, plain, ( c_List_Olist__all(_u18695, _u18697, _u18699) | ~hBOOL(hAPP(_u18697, hAPP(hAPP(c_List_Onth(_u18695), _u18699), skolem488(_u18699, _u18697, _u18695)))) )).
% 19.53/19.79 cnf(matrix-7667, plain, ( c_FunDef_Ois__measure(tc_Int_Oint, hAPP(c_Fun_Ocomp(tc_Int_Oint, tc_Nat_Onat, tc_Int_Oint, c_Int_Onat), c_Groups_Oabs__class_Oabs(tc_Int_Oint))) )).
% 19.53/19.79 cnf(matrix-7668, plain, ( c_List_Olist__all(_u18700, _u18701, c_List_Olist_ONil(_u18700)) )).
% 19.53/19.79 cnf(matrix-7669, plain, ( ~c_List_Olist__all(_u18706, _u18708, hAPP(hAPP(c_List_Oappend(_u18706), _u18710), _u18712)) | c_List_Olist__all(_u18706, _u18708, _u18710) )).
% 19.53/19.79 cnf(matrix-7670, plain, ( ~c_List_Olist__all(_u18706, _u18708, hAPP(hAPP(c_List_Oappend(_u18706), _u18710), _u18712)) | c_List_Olist__all(_u18706, _u18708, _u18712) )).
% 19.53/19.79 cnf(matrix-7671, plain, ( ~c_List_Olist__all(_u18707, _u18709, _u18711) | ~c_List_Olist__all(_u18707, _u18709, _u18713) | c_List_Olist__all(_u18707, _u18709, hAPP(hAPP(c_List_Oappend(_u18707), _u18711), _u18713)) )).
% 19.53/19.79 cnf(matrix-7672, plain, ( ~class_Nat_Osize(_u18714) | c_FunDef_Ois__measure(_u18714, c_Nat_Osize__class_Osize(_u18714)) )).
% 19.53/19.79 cnf(matrix-7673, plain, ( c_FunDef_Ois__measure(_u18715, _u18716) )).
% 19.53/19.79 cnf(matrix-7674, plain, ( c_FunDef_Ois__measure(_u18717, _u18718) )).
% 19.53/19.79 cnf(matrix-7675, plain, ( c_FunDef_Ois__measure(_u18719, _u18720) )).
% 19.53/19.79 cnf(matrix-7676, plain, ( ~c_List_Olist__all(_u18726, _u18728, _u18730) | ~hBOOL(hAPP(hAPP(c_member(_u18726), _u18721), hAPP(c_List_Oset(_u18726), _u18730))) | hBOOL(hAPP(_u18728, _u18721)) )).
% 19.53/19.79 cnf(matrix-7677, plain, ( c_List_Olist__all(_u18727, _u18729, _u18731) | hBOOL(hAPP(hAPP(c_member(_u18727), skolem489(_u18731, _u18729, _u18727)), hAPP(c_List_Oset(_u18727), _u18731))) )).
% 19.53/19.79 cnf(matrix-7678, plain, ( c_List_Olist__all(_u18727, _u18729, _u18731) | ~hBOOL(hAPP(_u18729, skolem489(_u18731, _u18729, _u18727))) )).
% 19.53/19.79 cnf(matrix-7679, plain, ( ~c_FunDef_Ois__measure(_u18732, _u18733) | c_FunDef_Ois__measure(tc_prod(_u18732, _u18734), hAPP(hAPP(c_COMBB(_u18732, tc_Nat_Onat, tc_prod(_u18732, _u18734)), _u18733), c_Product__Type_Ofst(_u18732, _u18734))) )).
% 19.53/19.79 cnf(matrix-7680, plain, ( ~c_FunDef_Ois__measure(_u18735, _u18736) | c_FunDef_Ois__measure(tc_prod(_u18737, _u18735), hAPP(hAPP(c_COMBB(_u18735, tc_Nat_Onat, tc_prod(_u18737, _u18735)), _u18736), c_Product__Type_Osnd(_u18737, _u18735))) )).
% 19.53/19.79 cnf(matrix-7681, plain, ( ~c_List_Olist__all(_u18741, _u18743, hAPP(c_List_Orev(_u18741), _u18745)) | c_List_Olist__all(_u18741, _u18743, _u18745) )).
% 19.53/19.79 cnf(matrix-7682, plain, ( ~c_List_Olist__all(_u18742, _u18744, _u18746) | c_List_Olist__all(_u18742, _u18744, hAPP(c_List_Orev(_u18742), _u18746)) )).
% 19.53/19.79 cnf(matrix-7683, plain, ( ~c_List_Olist__all(_u18751, _u18753, hAPP(hAPP(c_List_Olist_OCons(_u18751), _u18755), _u18757)) | hBOOL(hAPP(_u18753, _u18755)) )).
% 19.53/19.79 cnf(matrix-7684, plain, ( ~c_List_Olist__all(_u18751, _u18753, hAPP(hAPP(c_List_Olist_OCons(_u18751), _u18755), _u18757)) | c_List_Olist__all(_u18751, _u18753, _u18757) )).
% 19.53/19.79 cnf(matrix-7685, plain, ( ~hBOOL(hAPP(_u18754, _u18756)) | ~c_List_Olist__all(_u18752, _u18754, _u18758) | c_List_Olist__all(_u18752, _u18754, hAPP(hAPP(c_List_Olist_OCons(_u18752), _u18756), _u18758)) )).
% 19.53/19.79 cnf(matrix-7686, plain, ( c_List_Olist__all(_u18764, _u18768, _u18766) | hBOOL(hAPP(hAPP(c_member(_u18764), skolem490(_u18768, _u18766, _u18764)), hAPP(c_List_Oset(_u18764), _u18766))) )).
% 19.53/19.79 cnf(matrix-7687, plain, ( c_List_Olist__all(_u18764, _u18768, _u18766) | ~hBOOL(hAPP(_u18768, skolem490(_u18768, _u18766, _u18764))) )).
% 19.53/19.79 cnf(matrix-7688, plain, ( ~c_List_Olist__all(_u18765, _u18769, _u18767) | ~hBOOL(hAPP(hAPP(c_member(_u18765), _u18760), hAPP(c_List_Oset(_u18765), _u18767))) | hBOOL(hAPP(_u18769, _u18760)) )).
% 19.53/19.79 cnf(matrix-7689, plain, ( ~c_List_Olist__all(_u18775, _u18777, _u18779) | ~hBOOL(hAPP(hAPP(c_member(_u18775), _u18770), hAPP(c_List_Oset(_u18775), _u18779))) | hBOOL(hAPP(_u18777, _u18770)) )).
% 19.53/19.79 cnf(matrix-7690, plain, ( c_List_Olist__all(_u18776, _u18778, _u18780) | hBOOL(hAPP(hAPP(c_member(_u18776), skolem491(_u18780, _u18778, _u18776)), hAPP(c_List_Oset(_u18776), _u18780))) )).
% 19.53/19.79 cnf(matrix-7691, plain, ( c_List_Olist__all(_u18776, _u18778, _u18780) | ~hBOOL(hAPP(_u18778, skolem491(_u18780, _u18778, _u18776))) )).
% 19.53/19.79 cnf(matrix-7692, plain, ( ~c_List_Olist__ex1(_u18785, _u18787, hAPP(hAPP(c_List_Olist_OCons(_u18785), _u18789), _u18791)) | ~hBOOL(hAPP(_u18787, _u18789)) | c_List_Olist__all(_u18785, hAPP(hAPP(c_COMBS(_u18785, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18785), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18785), c_fNot), _u18787))), hAPP(c_fequal, _u18789)), _u18791) )).
% 19.53/19.79 cnf(matrix-7693, plain, ( ~c_List_Olist__ex1(_u18785, _u18787, hAPP(hAPP(c_List_Olist_OCons(_u18785), _u18789), _u18791)) | hBOOL(hAPP(_u18787, _u18789)) | c_List_Olist__ex1(_u18785, _u18787, _u18791) )).
% 19.53/19.79 cnf(matrix-7694, plain, ( c_List_Olist__ex1(_u18786, _u18788, hAPP(hAPP(c_List_Olist_OCons(_u18786), _u18790), _u18792)) | hBOOL(hAPP(_u18788, _u18790)) | ~c_List_Olist__ex1(_u18786, _u18788, _u18792) )).
% 19.53/19.79 cnf(matrix-7695, plain, ( c_List_Olist__ex1(_u18786, _u18788, hAPP(hAPP(c_List_Olist_OCons(_u18786), _u18790), _u18792)) | ~c_List_Olist__all(_u18786, hAPP(hAPP(c_COMBS(_u18786, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18786), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18786), c_fNot), _u18788))), hAPP(c_fequal, _u18790)), _u18792) | ~hBOOL(hAPP(_u18788, _u18790)) )).
% 19.53/19.79 cnf(matrix-7696, plain, ( c_List_Olist__ex1(_u18786, _u18788, hAPP(hAPP(c_List_Olist_OCons(_u18786), _u18790), _u18792)) | ~c_List_Olist__all(_u18786, hAPP(hAPP(c_COMBS(_u18786, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18786), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18786), c_fNot), _u18788))), hAPP(c_fequal, _u18790)), _u18792) | ~c_List_Olist__ex1(_u18786, _u18788, _u18792) )).
% 19.53/19.79 cnf(matrix-7697, plain, ( c_Nat__Transfer_Otransfer__morphism(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_COMBK(tc_HOL_Obool, tc_Nat_Onat), c_fTrue)) )).
% 19.53/19.79 cnf(matrix-7698, plain, ( ~c_List_Olist__ex1(_u18793, _u18794, c_List_Olist_ONil(_u18793)) )).
% 19.53/19.79 cnf(matrix-7699, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool), c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.79 cnf(matrix-7700, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool), c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.79 cnf(matrix-7701, plain, ( ~c_List_Olist__ex1(_u18802, _u18804, _u18806) | hBOOL(hAPP(hAPP(c_member(_u18802), skolem492(_u18806, _u18804, _u18802)), hAPP(c_List_Oset(_u18802), _u18806))) )).
% 19.53/19.79 cnf(matrix-7702, plain, ( ~c_List_Olist__ex1(_u18802, _u18804, _u18806) | hBOOL(hAPP(_u18804, skolem492(_u18806, _u18804, _u18802))) )).
% 19.53/19.79 cnf(matrix-7703, plain, ( ~c_List_Olist__ex1(_u18802, _u18804, _u18806) | ~hBOOL(hAPP(hAPP(c_member(_u18802), _u18795), hAPP(c_List_Oset(_u18802), _u18806))) | ~hBOOL(hAPP(_u18804, _u18795)) | ( _u18795 = skolem492(_u18806, _u18804, _u18802)) )).
% 19.53/19.79 cnf(matrix-7704, plain, ( c_List_Olist__ex1(_u18803, _u18805, _u18807) | ~hBOOL(hAPP(hAPP(c_member(_u18803), _u18798), hAPP(c_List_Oset(_u18803), _u18807))) | ~hBOOL(hAPP(_u18805, _u18798)) | hBOOL(hAPP(hAPP(c_member(_u18803), skolem493(_u18807, _u18805, _u18803, _u18798)), hAPP(c_List_Oset(_u18803), _u18807))) )).
% 19.53/19.79 cnf(matrix-7705, plain, ( c_List_Olist__ex1(_u18803, _u18805, _u18807) | ~hBOOL(hAPP(hAPP(c_member(_u18803), _u18798), hAPP(c_List_Oset(_u18803), _u18807))) | ~hBOOL(hAPP(_u18805, _u18798)) | hBOOL(hAPP(_u18805, skolem493(_u18807, _u18805, _u18803, _u18798))) )).
% 19.53/19.79 cnf(matrix-7706, plain, ( c_List_Olist__ex1(_u18803, _u18805, _u18807) | ~hBOOL(hAPP(hAPP(c_member(_u18803), _u18798), hAPP(c_List_Oset(_u18803), _u18807))) | ~hBOOL(hAPP(_u18805, _u18798)) | ( skolem493(_u18807, _u18805, _u18803, _u18798) != _u18798) )).
% 19.53/19.79 cnf(matrix-7707, plain, ( ( _u18813 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u18815, _u18817, _u18819, _u18821), _u18813) = c_Lazy__Sequence_Ohit__bound(_u18817)) )).
% 19.53/19.79 cnf(matrix-7708, plain, ( ( _u18814 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u18816, _u18818, _u18820, _u18822), _u18814) = c_Lazy__Sequence_Ohb__bind(_u18816, _u18818, hAPP(_u18820, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u18814), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBC(_u18816, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u18818))), _u18822), _u18814))) )).
% 19.53/19.79 cnf(matrix-7709, plain, ( ( _u18828 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u18830, _u18832, _u18834, _u18836), _u18828) = c_Lazy__Sequence_Oempty(_u18832)) )).
% 19.53/19.79 cnf(matrix-7710, plain, ( ( _u18829 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u18831, _u18833, _u18835, _u18837), _u18829) = hAPP(c_Lazy__Sequence_Obind(_u18831, _u18833, hAPP(_u18835, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u18829), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))), hAPP(hAPP(c_COMBC(_u18831, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u18833)), _u18837), _u18829))) )).
% 19.53/19.79 cnf(matrix-7711, plain, ( ( c_New__Random__Sequence_Oneg__decr__bind(_u18838, _u18839, _u18840, _u18841, _u18842, _u18843, _u18844) = c_New__DSequence_Oneg__decr__bind(_u18838, _u18839, hAPP(hAPP(hAPP(_u18840, _u18842), _u18843), _u18844), hAPP(hAPP(c_COMBC(_u18838, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u18839)))), hAPP(hAPP(c_COMBC(_u18838, tc_Code__Numeral_Ocode__numeral, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u18839))))), hAPP(hAPP(c_COMBC(_u18838, tc_Code__Numeral_Ocode__numeral, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u18839)))))), _u18841), _u18842)), _u18843)), _u18844))) )).
% 19.53/19.79 cnf(matrix-7712, plain, ( ( c_New__Random__Sequence_Opos__decr__bind(_u18845, _u18846, _u18847, _u18848, _u18849, _u18850, _u18851) = c_New__DSequence_Opos__decr__bind(_u18845, _u18846, hAPP(hAPP(hAPP(_u18847, _u18849), _u18850), _u18851), hAPP(hAPP(c_COMBC(_u18845, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u18846))), hAPP(hAPP(c_COMBC(_u18845, tc_Code__Numeral_Ocode__numeral, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u18846)))), hAPP(hAPP(c_COMBC(_u18845, tc_Code__Numeral_Ocode__numeral, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u18846))))), _u18848), _u18849)), _u18850)), _u18851))) )).
% 19.53/19.79 cnf(matrix-7713, plain, ( ( hAPP(c_New__DSequence_Oneg__bind(_u18852, _u18853, _u18854, _u18855), _u18856) = c_Lazy__Sequence_Ohb__bind(_u18852, _u18853, hAPP(_u18854, _u18856), hAPP(hAPP(c_COMBC(_u18852, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u18853))), _u18855), _u18856))) )).
% 19.53/19.79 cnf(matrix-7714, plain, ( ( hAPP(c_New__DSequence_Opos__empty(_u18857), _u18858) = c_Lazy__Sequence_Oempty(_u18857)) )).
% 19.53/19.79 cnf(matrix-7715, plain, ( ( c_New__Random__Sequence_Opos__empty(_u18859, _u18860, _u18861, _u18862) = c_New__DSequence_Opos__empty(_u18859)) )).
% 19.53/19.79 cnf(matrix-7716, plain, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(_u18863, _u18864, _u18865, _u18866), _u18867), _u18868), _u18869) = c_New__DSequence_Oneg__bind(_u18863, _u18864, hAPP(hAPP(hAPP(_u18865, _u18867), _u18868), _u18869), hAPP(hAPP(c_COMBC(_u18863, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u18864)))), hAPP(hAPP(c_COMBC(_u18863, tc_Code__Numeral_Ocode__numeral, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u18864))))), hAPP(hAPP(c_COMBC(_u18863, tc_Code__Numeral_Ocode__numeral, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u18864)))))), _u18866), _u18867)), _u18868)), _u18869))) )).
% 19.53/19.79 cnf(matrix-7717, plain, ( ( hAPP(c_New__DSequence_Opos__bind(_u18870, _u18871, _u18872, _u18873), _u18874) = hAPP(c_Lazy__Sequence_Obind(_u18870, _u18871, hAPP(_u18872, _u18874)), hAPP(hAPP(c_COMBC(_u18870, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u18871)), _u18873), _u18874))) )).
% 19.53/19.79 cnf(matrix-7718, plain, ( ( c_New__Random__Sequence_Oneg__map(_u18875, _u18876, _u18877, _u18878) = c_New__Random__Sequence_Oneg__bind(_u18875, _u18876, _u18878, hAPP(c_Fun_Ocomp(_u18876, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u18876)))))), _u18875, c_New__Random__Sequence_Oneg__single(_u18876)), _u18877))) )).
% 19.53/19.79 cnf(matrix-7719, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(_u18879), _u18880), _u18881), _u18882), _u18883) = c_New__DSequence_Oneg__single(_u18879, _u18880)) )).
% 19.53/19.79 cnf(matrix-7720, plain, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(_u18884, _u18885, _u18886, _u18887), _u18888), _u18889), _u18890) = c_New__DSequence_Opos__bind(_u18884, _u18885, hAPP(hAPP(hAPP(_u18886, _u18888), _u18889), _u18890), hAPP(hAPP(c_COMBC(_u18884, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u18885))), hAPP(hAPP(c_COMBC(_u18884, tc_Code__Numeral_Ocode__numeral, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u18885)))), hAPP(hAPP(c_COMBC(_u18884, tc_Code__Numeral_Ocode__numeral, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u18885))))), _u18887), _u18888)), _u18889)), _u18890))) )).
% 19.53/19.79 cnf(matrix-7721, plain, ( ( hAPP(c_New__DSequence_Oneg__single(_u18891, _u18892), _u18893) = c_Lazy__Sequence_Ohb__single(_u18891, _u18892)) )).
% 19.53/19.79 cnf(matrix-7722, plain, ( ( c_New__Random__Sequence_Opos__map(_u18894, _u18895, _u18896, _u18897) = c_New__Random__Sequence_Opos__bind(_u18894, _u18895, _u18897, hAPP(c_Fun_Ocomp(_u18895, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u18895))))), _u18894, c_New__Random__Sequence_Opos__single(_u18895)), _u18896))) )).
% 19.53/19.79 cnf(matrix-7723, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(_u18898), _u18899), _u18900), _u18901), _u18902) = c_New__DSequence_Opos__single(_u18898, _u18899)) )).
% 19.53/19.79 cnf(matrix-7724, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18903)), c_List_Osplice(_u18903, _u18904, _u18905)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18903)), _u18904)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18903)), _u18905))) )).
% 19.53/19.79 cnf(matrix-7725, plain, ( ( c_List_Osplice(_u18906, hAPP(hAPP(c_List_Olist_OCons(_u18906), _u18907), _u18908), hAPP(hAPP(c_List_Olist_OCons(_u18906), _u18909), _u18910)) = hAPP(hAPP(c_List_Olist_OCons(_u18906), _u18907), hAPP(hAPP(c_List_Olist_OCons(_u18906), _u18909), c_List_Osplice(_u18906, _u18908, _u18910)))) )).
% 19.53/19.79 cnf(matrix-7726, plain, ( ( c_List_Osplice(_u18911, _u18912, c_List_Olist_ONil(_u18911)) = _u18912) )).
% 19.53/19.79 cnf(matrix-7727, plain, ( ( c_List_Osplice(_u18913, c_List_Olist_ONil(_u18913), _u18914) = _u18914) )).
% 19.53/19.79 cnf(matrix-7728, plain, ( ( c_List_Osplice(_u18915, hAPP(hAPP(c_List_Olist_OCons(_u18915), _u18916), _u18917), c_List_Olist_ONil(_u18915)) = hAPP(hAPP(c_List_Olist_OCons(_u18915), _u18916), _u18917)) )).
% 19.53/19.79 cnf(matrix-7729, plain, ( ( hAPP(c_New__DSequence_Opos__single(_u18918, _u18919), _u18920) = hAPP(c_Lazy__Sequence_Osingle(_u18918), _u18919)) )).
% 19.53/19.79 cnf(matrix-7730, plain, ( ~c_Wellfounded_Oacyclic(_u18923, hAPP(c_Set_OCollect(tc_prod(_u18923, _u18923)), hAPP(c_Product__Type_Oprod_Oprod__case(_u18923, _u18923, tc_HOL_Obool), c_Predicate_Oconversep(_u18923, _u18923, _u18925)))) | c_Wellfounded_Oacyclic(_u18923, hAPP(c_Set_OCollect(tc_prod(_u18923, _u18923)), hAPP(c_Product__Type_Oprod_Oprod__case(_u18923, _u18923, tc_HOL_Obool), _u18925))) )).
% 19.53/19.79 cnf(matrix-7731, plain, ( ~c_Wellfounded_Oacyclic(_u18924, hAPP(c_Set_OCollect(tc_prod(_u18924, _u18924)), hAPP(c_Product__Type_Oprod_Oprod__case(_u18924, _u18924, tc_HOL_Obool), _u18926))) | c_Wellfounded_Oacyclic(_u18924, hAPP(c_Set_OCollect(tc_prod(_u18924, _u18924)), hAPP(c_Product__Type_Oprod_Oprod__case(_u18924, _u18924, tc_HOL_Obool), c_Predicate_Oconversep(_u18924, _u18924, _u18926)))) )).
% 19.53/19.79 cnf(matrix-7732, plain, ( ( c_Predicate_Oconversep(_u18927, _u18928, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18927, tc_fun(_u18928, tc_HOL_Obool))), _u18929), _u18930)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18928, tc_fun(_u18927, tc_HOL_Obool))), c_Predicate_Oconversep(_u18927, _u18928, _u18929)), c_Predicate_Oconversep(_u18927, _u18928, _u18930))) )).
% 19.53/19.79 cnf(matrix-7733, plain, ( ( c_Predicate_Oconversep(_u18931, _u18932, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18931, tc_fun(_u18932, tc_HOL_Obool))), _u18933), _u18934)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18932, tc_fun(_u18931, tc_HOL_Obool))), c_Predicate_Oconversep(_u18931, _u18932, _u18933)), c_Predicate_Oconversep(_u18931, _u18932, _u18934))) )).
% 19.53/19.79 cnf(matrix-7734, plain, ( ( c_Predicate_Oconversep(_u18935, _u18936, c_Predicate_Opred__comp(_u18935, _u18937, _u18936, _u18938, _u18939)) = c_Predicate_Opred__comp(_u18936, _u18937, _u18935, c_Predicate_Oconversep(_u18937, _u18936, _u18939), c_Predicate_Oconversep(_u18935, _u18937, _u18938))) )).
% 19.53/19.79 cnf(matrix-7735, plain, ( ( c_Predicate_Oconversep(_u18940, _u18940, c_fequal) = c_fequal) )).
% 19.53/19.79 cnf(matrix-7736, plain, ( ( c_Predicate_Oconversep(_u18941, _u18942, c_Predicate_Oconversep(_u18942, _u18941, _u18943)) = _u18943) )).
% 19.53/19.79 cnf(matrix-7737, plain, ( hBOOL(hAPP(hAPP(_u18953, _u18957), _u18955)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u18949, _u18951, _u18953), _u18955), _u18957)) )).
% 19.53/19.79 cnf(matrix-7738, plain, ( ~hBOOL(hAPP(hAPP(_u18954, _u18958), _u18956)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u18950, _u18952, _u18954), _u18956), _u18958)) )).
% 19.53/19.79 cnf(matrix-7739, plain, ( hBOOL(hAPP(hAPP(_u18968, _u18972), _u18970)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u18964, _u18966, _u18968), _u18970), _u18972)) )).
% 19.53/19.79 cnf(matrix-7740, plain, ( ~hBOOL(hAPP(hAPP(_u18969, _u18973), _u18971)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u18965, _u18967, _u18969), _u18971), _u18973)) )).
% 19.53/19.79 cnf(matrix-7741, plain, ( ~hBOOL(hAPP(hAPP(_u18974, _u18975), _u18976)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u18977, _u18978, _u18974), _u18976), _u18975)) )).
% 19.53/19.79 cnf(matrix-7742, plain, ( hBOOL(hAPP(hAPP(_u18981, _u18983), _u18982)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u18979, _u18980, _u18981), _u18982), _u18983)) )).
% 19.53/19.79 cnf(matrix-7743, plain, ( ( _u18989 != _u18991) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u18987, _u18987, hAPP(hAPP(c_COMBB(tc_fun(_u18987, tc_HOL_Obool), tc_fun(_u18987, tc_HOL_Obool), _u18987), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18987), c_fNot)), c_fequal)), _u18989), _u18991)) )).
% 19.53/19.79 cnf(matrix-7744, plain, ( ( _u18990 = _u18992) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u18988, _u18988, hAPP(hAPP(c_COMBB(tc_fun(_u18988, tc_HOL_Obool), tc_fun(_u18988, tc_HOL_Obool), _u18988), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18988), c_fNot)), c_fequal)), _u18990), _u18992)) )).
% 19.53/19.79 cnf(matrix-7745, plain, ( ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u18998, _u19000, hAPP(hAPP(c_COMBC(_u18998, tc_fun(tc_prod(_u18998, _u19000), tc_HOL_Obool), tc_fun(_u19000, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19000, tc_fun(tc_fun(tc_prod(_u18998, _u19000), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u18998, _u19000), tc_HOL_Obool), tc_fun(_u19000, tc_HOL_Obool)), _u18998), c_COMBC(_u19000, tc_fun(tc_prod(_u18998, _u19000), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19000, tc_prod(_u18998, _u19000)), tc_fun(_u19000, tc_fun(tc_fun(tc_prod(_u18998, _u19000), tc_HOL_Obool), tc_HOL_Obool)), _u18998), hAPP(c_COMBB(tc_prod(_u18998, _u19000), tc_fun(tc_fun(tc_prod(_u18998, _u19000), tc_HOL_Obool), tc_HOL_Obool), _u19000), c_member(tc_prod(_u18998, _u19000)))), c_Product__Type_OPair(_u18998, _u19000)))), _u19002)), _u19004), _u19006)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19000, _u18998)), hAPP(hAPP(c_Product__Type_OPair(_u19000, _u18998), _u19004), _u19006)), hAPP(c_Relation_Oconverse(_u18998, _u19000), _u19002))) )).
% 19.53/19.79 cnf(matrix-7746, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19001, _u18999)), hAPP(hAPP(c_Product__Type_OPair(_u19001, _u18999), _u19005), _u19007)), hAPP(c_Relation_Oconverse(_u18999, _u19001), _u19003))) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u18999, _u19001, hAPP(hAPP(c_COMBC(_u18999, tc_fun(tc_prod(_u18999, _u19001), tc_HOL_Obool), tc_fun(_u19001, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19001, tc_fun(tc_fun(tc_prod(_u18999, _u19001), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u18999, _u19001), tc_HOL_Obool), tc_fun(_u19001, tc_HOL_Obool)), _u18999), c_COMBC(_u19001, tc_fun(tc_prod(_u18999, _u19001), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19001, tc_prod(_u18999, _u19001)), tc_fun(_u19001, tc_fun(tc_fun(tc_prod(_u18999, _u19001), tc_HOL_Obool), tc_HOL_Obool)), _u18999), hAPP(c_COMBB(tc_prod(_u18999, _u19001), tc_fun(tc_fun(tc_prod(_u18999, _u19001), tc_HOL_Obool), tc_HOL_Obool), _u19001), c_member(tc_prod(_u18999, _u19001)))), c_Product__Type_OPair(_u18999, _u19001)))), _u19003)), _u19005), _u19007)) )).
% 19.53/19.79 cnf(matrix-7747, plain, ( ( c_Lazy__Sequence_Oproduct(_u19008, _u19009, _u19010, _u19011) = hAPP(c_Lazy__Sequence_Obind(_u19008, tc_prod(_u19008, _u19009), _u19010), hAPP(hAPP(c_COMBB(tc_fun(_u19009, tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19008, _u19009))), tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19008, _u19009)), _u19008), c_Lazy__Sequence_Obind(_u19009, tc_prod(_u19008, _u19009), _u19011)), hAPP(hAPP(c_COMBB(tc_fun(_u19009, tc_prod(_u19008, _u19009)), tc_fun(_u19009, tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19008, _u19009))), _u19008), hAPP(c_COMBB(tc_prod(_u19008, _u19009), tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19008, _u19009)), _u19009), c_Lazy__Sequence_Osingle(tc_prod(_u19008, _u19009)))), c_Product__Type_OPair(_u19008, _u19009))))) )).
% 19.53/19.79 cnf(matrix-7748, plain, ( ( _u19012 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Otl(_u19013), c_List_Oreplicate(_u19013, _u19012, _u19014)) = c_List_Oreplicate(_u19013, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19012), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u19014)) )).
% 19.53/19.79 cnf(matrix-7749, plain, ( ( c_List_Oreplicate(_u19015, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19015)), hAPP(c_List_Ofilter(_u19015, hAPP(c_fequal, _u19016)), _u19017)), _u19016) = hAPP(c_List_Ofilter(_u19015, hAPP(c_fequal, _u19016)), _u19017)) )).
% 19.53/19.79 cnf(matrix-7750, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19018)), c_List_Oreplicate(_u19018, _u19019, _u19020)) = _u19019) )).
% 19.53/19.79 cnf(matrix-7751, plain, ( ( hAPP(hAPP(c_List_Omap(_u19021, _u19022), hAPP(c_COMBK(_u19022, _u19021), _u19023)), _u19024) = c_List_Oreplicate(_u19022, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19021)), _u19024), _u19023)) )).
% 19.53/19.79 cnf(matrix-7752, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19025), c_List_Oreplicate(_u19025, _u19026, _u19027)), hAPP(hAPP(c_List_Olist_OCons(_u19025), _u19027), _u19028)) = hAPP(hAPP(c_List_Olist_OCons(_u19025), _u19027), hAPP(hAPP(c_List_Oappend(_u19025), c_List_Oreplicate(_u19025, _u19026, _u19027)), _u19028))) )).
% 19.53/19.79 cnf(matrix-7753, plain, ( ( c_List_Oreplicate(_u19029, hAPP(c_Nat_OSuc, _u19030), _u19031) = hAPP(hAPP(c_List_Olist_OCons(_u19029), _u19031), c_List_Oreplicate(_u19029, _u19030, _u19031))) )).
% 19.53/19.79 cnf(matrix-7754, plain, ( ( hAPP(c_List_Orev(_u19032), c_List_Oreplicate(_u19032, _u19033, _u19034)) = c_List_Oreplicate(_u19032, _u19033, _u19034)) )).
% 19.53/19.79 cnf(matrix-7755, plain, ( ( hAPP(hAPP(c_List_Otake(_u19035), _u19036), c_List_Oreplicate(_u19035, _u19037, _u19038)) = c_List_Oreplicate(_u19035, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u19036), _u19037), _u19038)) )).
% 19.53/19.79 cnf(matrix-7756, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19039), _u19040), c_List_Oreplicate(_u19039, _u19041, _u19042)) = c_List_Oreplicate(_u19039, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19041), _u19040), _u19042)) )).
% 19.53/19.79 cnf(matrix-7757, plain, ( ( _u19043 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Ohd(_u19044), c_List_Oreplicate(_u19044, _u19043, _u19045)) = _u19045) )).
% 19.53/19.79 cnf(matrix-7758, plain, ( ( _u19046 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olast(_u19047, c_List_Oreplicate(_u19047, _u19046, _u19048)) = _u19048) )).
% 19.53/19.79 cnf(matrix-7759, plain, ( ( hAPP(hAPP(c_List_Ozip(_u19049, _u19050), c_List_Oreplicate(_u19049, _u19051, _u19052)), c_List_Oreplicate(_u19050, _u19053, _u19054)) = c_List_Oreplicate(tc_prod(_u19049, _u19050), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u19051), _u19053), hAPP(hAPP(c_Product__Type_OPair(_u19049, _u19050), _u19052), _u19054))) )).
% 19.53/19.79 cnf(matrix-7760, plain, ( hBOOL(hAPP(_u19067, _u19065)) | ( _u19063 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19061), skolem494(_u19067, _u19065, _u19063, _u19061)), hAPP(c_List_Oset(_u19061), c_List_Oreplicate(_u19061, _u19063, _u19065)))) )).
% 19.53/19.79 cnf(matrix-7761, plain, ( hBOOL(hAPP(_u19067, _u19065)) | ( _u19063 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u19067, skolem494(_u19067, _u19065, _u19063, _u19061))) )).
% 19.53/19.79 cnf(matrix-7762, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19062), _u19056), hAPP(c_List_Oset(_u19062), c_List_Oreplicate(_u19062, _u19064, _u19066)))) | hBOOL(hAPP(_u19068, _u19056)) | ~hBOOL(hAPP(_u19068, _u19066)) )).
% 19.53/19.79 cnf(matrix-7763, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19062), _u19056), hAPP(c_List_Oset(_u19062), c_List_Oreplicate(_u19062, _u19064, _u19066)))) | hBOOL(hAPP(_u19068, _u19056)) | ( _u19064 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.79 cnf(matrix-7764, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19075), _u19069), hAPP(c_List_Oset(_u19075), c_List_Oreplicate(_u19075, _u19077, _u19079)))) | ~hBOOL(hAPP(_u19081, _u19069)) | hBOOL(hAPP(_u19081, _u19079)) )).
% 19.53/19.79 cnf(matrix-7765, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19075), _u19069), hAPP(c_List_Oset(_u19075), c_List_Oreplicate(_u19075, _u19077, _u19079)))) | ~hBOOL(hAPP(_u19081, _u19069)) | ( _u19077 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.79 cnf(matrix-7766, plain, ( ~hBOOL(hAPP(_u19082, _u19080)) | ( _u19078 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19076), skolem495(_u19082, _u19080, _u19078, _u19076)), hAPP(c_List_Oset(_u19076), c_List_Oreplicate(_u19076, _u19078, _u19080)))) )).
% 19.53/19.79 cnf(matrix-7767, plain, ( ~hBOOL(hAPP(_u19082, _u19080)) | ( _u19078 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u19082, skolem495(_u19082, _u19080, _u19078, _u19076))) )).
% 19.53/19.79 cnf(matrix-7768, plain, ( ( c_List_Oreplicate(_u19088, _u19090, _u19092) != c_List_Oreplicate(_u19088, _u19094, _u19096)) | ( _u19090 = _u19094) )).
% 19.53/19.79 cnf(matrix-7769, plain, ( ( c_List_Oreplicate(_u19088, _u19090, _u19092) != c_List_Oreplicate(_u19088, _u19094, _u19096)) | ( _u19090 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u19092 = _u19096) )).
% 19.53/19.79 cnf(matrix-7770, plain, ( ( c_List_Oreplicate(_u19089, _u19091, _u19093) = c_List_Oreplicate(_u19089, _u19095, _u19097)) | ( _u19091 != _u19095) | ( _u19091 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.79 cnf(matrix-7771, plain, ( ( c_List_Oreplicate(_u19089, _u19091, _u19093) = c_List_Oreplicate(_u19089, _u19095, _u19097)) | ( _u19091 != _u19095) | ( _u19093 != _u19097) )).
% 19.53/19.79 cnf(matrix-7772, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19098), _u19099)) | ( hAPP(hAPP(c_List_Onth(_u19100), c_List_Oreplicate(_u19100, _u19099, _u19101)), _u19098) = _u19101) )).
% 19.53/19.79 cnf(matrix-7773, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19102), c_List_Oreplicate(_u19102, _u19103, _u19104)), c_List_Oreplicate(_u19102, _u19105, _u19104)) = hAPP(hAPP(c_List_Oappend(_u19102), c_List_Oreplicate(_u19102, _u19105, _u19104)), c_List_Oreplicate(_u19102, _u19103, _u19104))) )).
% 19.53/19.79 cnf(matrix-7774, plain, ( ( c_List_Oreplicate(_u19106, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19107), _u19108), _u19109) = hAPP(hAPP(c_List_Oappend(_u19106), c_List_Oreplicate(_u19106, _u19107, _u19109)), c_List_Oreplicate(_u19106, _u19108, _u19109))) )).
% 19.53/19.79 cnf(matrix-7775, plain, ( ~hBOOL(hAPP(_u19114, _u19116)) | ( hAPP(c_List_Ofilter(_u19118, _u19114), c_List_Oreplicate(_u19118, _u19120, _u19116)) = c_List_Oreplicate(_u19118, _u19120, _u19116)) )).
% 19.53/19.79 cnf(matrix-7776, plain, ( hBOOL(hAPP(_u19115, _u19117)) | ( hAPP(c_List_Ofilter(_u19119, _u19115), c_List_Oreplicate(_u19119, _u19121, _u19117)) = c_List_Olist_ONil(_u19119)) )).
% 19.53/19.79 cnf(matrix-7777, plain, ( ( c_List_Oconcat(_u19122, c_List_Oreplicate(tc_List_Olist(_u19122), _u19123, c_List_Olist_ONil(_u19122))) = c_List_Olist_ONil(_u19122)) )).
% 19.53/19.79 cnf(matrix-7778, plain, ( ( _u19129 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Oreplicate(_u19127, _u19129, _u19131) != c_List_Olist_ONil(_u19127)) )).
% 19.53/19.79 cnf(matrix-7779, plain, ( ( _u19130 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Oreplicate(_u19128, _u19130, _u19132) = c_List_Olist_ONil(_u19128)) )).
% 19.53/19.79 cnf(matrix-7780, plain, ( ( _u19138 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olist_ONil(_u19136) != c_List_Oreplicate(_u19136, _u19138, _u19140)) )).
% 19.53/19.79 cnf(matrix-7781, plain, ( ( _u19139 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olist_ONil(_u19137) = c_List_Oreplicate(_u19137, _u19139, _u19141)) )).
% 19.53/19.79 cnf(matrix-7782, plain, ( ( c_List_Oreplicate(_u19142, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u19143) = c_List_Olist_ONil(_u19142)) )).
% 19.53/19.79 cnf(matrix-7783, plain, ( ( hAPP(hAPP(c_List_Omap(_u19144, _u19145), _u19146), c_List_Oreplicate(_u19144, _u19147, _u19148)) = c_List_Oreplicate(_u19145, _u19147, hAPP(_u19146, _u19148))) )).
% 19.53/19.79 cnf(matrix-7784, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19153), _u19155), hAPP(c_List_Oset(_u19153), c_List_Oreplicate(_u19153, _u19157, _u19159)))) | ( _u19155 = _u19159) )).
% 19.53/19.79 cnf(matrix-7785, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19153), _u19155), hAPP(c_List_Oset(_u19153), c_List_Oreplicate(_u19153, _u19157, _u19159)))) | ( _u19157 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.79 cnf(matrix-7786, plain, ( ( _u19156 != _u19160) | ( _u19158 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19154), _u19156), hAPP(c_List_Oset(_u19154), c_List_Oreplicate(_u19154, _u19158, _u19160)))) )).
% 19.53/19.79 cnf(matrix-7787, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19161), c_List_Oreplicate(_u19161, _u19162, _u19163)), hAPP(hAPP(c_List_Olist_OCons(_u19161), _u19163), c_List_Olist_ONil(_u19161))) = hAPP(hAPP(c_List_Olist_OCons(_u19161), _u19163), c_List_Oreplicate(_u19161, _u19162, _u19163))) )).
% 19.53/19.79 cnf(matrix-7788, plain, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u19164), hAPP(c_COMBK(_u19164, tc_Nat_Onat), _u19165)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u19166)) = c_List_Oreplicate(_u19164, _u19166, _u19165)) )).
% 19.53/19.79 cnf(matrix-7789, plain, ( ( _u19167 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u19168), c_List_Oreplicate(_u19168, _u19167, _u19169)) = hAPP(hAPP(c_Set_Oinsert(_u19168), _u19169), c_Orderings_Obot__class_Obot(tc_fun(_u19168, tc_HOL_Obool)))) )).
% 19.53/19.79 cnf(matrix-7790, plain, ( ( _u19173 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u19175), c_List_Oreplicate(_u19175, _u19173, _u19177)) = c_Orderings_Obot__class_Obot(tc_fun(_u19175, tc_HOL_Obool))) )).
% 19.53/19.79 cnf(matrix-7791, plain, ( ( _u19174 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u19176), c_List_Oreplicate(_u19176, _u19174, _u19178)) = hAPP(hAPP(c_Set_Oinsert(_u19176), _u19178), c_Orderings_Obot__class_Obot(tc_fun(_u19176, tc_HOL_Obool)))) )).
% 19.53/19.79 cnf(matrix-7792, plain, ( ( hAPP(c_List_Oset(_u19179), c_List_Oreplicate(_u19179, hAPP(c_Nat_OSuc, _u19180), _u19181)) = hAPP(hAPP(c_Set_Oinsert(_u19179), _u19181), c_Orderings_Obot__class_Obot(tc_fun(_u19179, tc_HOL_Obool)))) )).
% 19.53/19.79 cnf(matrix-7793, plain, ( ~class_Lazy__Sequence_Osmall__lazy(_u19182) | ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(_u19182), _u19183) = c_Lazy__Sequence_Oappend(tc_List_Olist(_u19182), hAPP(c_Lazy__Sequence_Osingle(tc_List_Olist(_u19182)), c_List_Olist_ONil(_u19182)), hAPP(hAPP(hAPP(c_If(tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19182))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u19183)), hAPP(c_Lazy__Sequence_Obind(tc_prod(_u19182, tc_List_Olist(_u19182)), tc_List_Olist(_u19182), c_Lazy__Sequence_Oproduct(_u19182, tc_List_Olist(_u19182), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u19182, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u19183), c_Groups_Oone__class_Oone(tc_Int_Oint))), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(_u19182), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u19183), c_Groups_Oone__class_Oone(tc_Int_Oint))))), hAPP(c_Product__Type_Oprod_Oprod__case(_u19182, tc_List_Olist(_u19182), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19182))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u19182), tc_List_Olist(_u19182)), tc_fun(tc_List_Olist(_u19182), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19182))), _u19182), hAPP(c_COMBB(tc_List_Olist(_u19182), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19182)), tc_List_Olist(_u19182)), c_Lazy__Sequence_Osingle(tc_List_Olist(_u19182)))), c_List_Olist_OCons(_u19182))))), c_Lazy__Sequence_Oempty(tc_List_Olist(_u19182))))) )).
% 19.53/19.79 cnf(matrix-7794, plain, ( ( c_Predicate_Opred__comp(_u19184, _u19184, _u19184, c_fequal, c_Predicate_Opred__comp(_u19184, _u19184, _u19184, _u19185, c_fequal)) = _u19185) )).
% 19.53/19.79 cnf(matrix-7795, plain, ( ~class_Lazy__Sequence_Osmall__lazy(_u19186) | ~class_Lazy__Sequence_Osmall__lazy(_u19187) | ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_prod(_u19186, _u19187), _u19188) = c_Lazy__Sequence_Oproduct(_u19186, _u19187, c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u19186, _u19188), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u19187, _u19188))) )).
% 19.53/19.79 cnf(matrix-7796, plain, ( ( hAPP(c_New__DSequence_Opos__union(_u19189, _u19190, _u19191), _u19192) = c_Lazy__Sequence_Oappend(_u19189, hAPP(_u19190, _u19192), hAPP(_u19191, _u19192))) )).
% 19.53/19.79 cnf(matrix-7797, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19193)), c_Lazy__Sequence_Olazy__sequence_OInsert(_u19193, _u19194, _u19195)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19193)), _u19195)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 19.53/19.79 cnf(matrix-7798, plain, ( ( c_Lazy__Sequence_Oappend(_u19196, c_Lazy__Sequence_Olazy__sequence_OInsert(_u19196, _u19197, _u19198), _u19199) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u19196, _u19197, c_Lazy__Sequence_Oappend(_u19196, _u19198, _u19199))) )).
% 19.53/19.79 cnf(matrix-7799, plain, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19205, _u19207, _u19209) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u19205, _u19211, _u19213)) | ( _u19207 = _u19211) )).
% 19.53/19.79 cnf(matrix-7800, plain, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19205, _u19207, _u19209) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u19205, _u19211, _u19213)) | ( _u19209 = _u19213) )).
% 19.53/19.79 cnf(matrix-7801, plain, ( ( _u19208 != _u19212) | ( _u19210 != _u19214) | ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19206, _u19208, _u19210) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u19206, _u19212, _u19214)) )).
% 19.53/19.79 cnf(matrix-7802, plain, ( ( c_New__Random__Sequence_Opos__union(_u19215, _u19216, _u19217, _u19218, _u19219, _u19220) = c_New__DSequence_Opos__union(_u19215, hAPP(hAPP(hAPP(_u19216, _u19218), _u19219), _u19220), hAPP(hAPP(hAPP(_u19217, _u19218), _u19219), _u19220))) )).
% 19.53/19.79 cnf(matrix-7803, plain, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19221, _u19222), c_Lazy__Sequence_Olazy__sequence_OInsert(_u19221, _u19223, _u19224)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u19222, _u19223)), hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19221, _u19222), _u19224))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 19.53/19.79 cnf(matrix-7804, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19227), _u19229)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19227, _u19229) = c_Lazy__Sequence_Oempty(tc_Int_Oint)) )).
% 19.53/19.79 cnf(matrix-7805, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19228), _u19230)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19228, _u19230) = c_Lazy__Sequence_Oappend(tc_Int_Oint, hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint), _u19230), c_Lazy__Sequence_Osmall__lazy_H(_u19228, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u19230), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 19.53/19.79 cnf(matrix-7806, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Lazy__Sequence_Osmall__lazy_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u19231), _u19232))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19231), _u19232)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19231, _u19232) = c_Lazy__Sequence_Oempty(tc_Int_Oint)) )).
% 19.53/19.79 cnf(matrix-7807, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Lazy__Sequence_Osmall__lazy_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u19231), _u19232))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u19231), _u19232)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u19231, _u19232) = c_Lazy__Sequence_Oappend(tc_Int_Oint, hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint), _u19232), c_Lazy__Sequence_Osmall__lazy_H(_u19231, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u19232), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 19.53/19.79 cnf(matrix-7808, plain, ( ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_Int_Oint, _u19233) = c_Lazy__Sequence_Osmall__lazy_H(_u19233, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u19233))) )).
% 19.53/19.79 cnf(matrix-7809, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Lazy__Sequence_Osmall__lazy_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u19236), _u19237))) | hBOOL(hAPP(hAPP(_u19238, _u19236), _u19237)) | hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Lazy__Sequence_Osmall__lazy_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), skolem496(_u19238, _u19237, _u19236)), skolem497(_u19238, _u19237, _u19236)))) )).
% 19.53/19.79 cnf(matrix-7810, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Lazy__Sequence_Osmall__lazy_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u19236), _u19237))) | hBOOL(hAPP(hAPP(_u19238, _u19236), _u19237)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem496(_u19238, _u19237, _u19236)), skolem497(_u19238, _u19237, _u19236))) | hBOOL(hAPP(hAPP(_u19238, skolem496(_u19238, _u19237, _u19236)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem497(_u19238, _u19237, _u19236)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 19.53/19.79 cnf(matrix-7811, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint, tc_Int_Oint), c_Lazy__Sequence_Osmall__lazy_H__rel), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u19236), _u19237))) | hBOOL(hAPP(hAPP(_u19238, _u19236), _u19237)) | ~hBOOL(hAPP(hAPP(_u19238, skolem496(_u19238, _u19237, _u19236)), skolem497(_u19238, _u19237, _u19236))) )).
% 19.53/19.79 cnf(matrix-7812, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19239)), _u19240) = c_Option_Ooption_Ooption__case(tc_Nat_Onat, tc_prod(_u19239, tc_Lazy__Sequence_Olazy__sequence(_u19239)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Product__Type_Oprod_Oprod__case(_u19239, tc_Lazy__Sequence_Olazy__sequence(_u19239), tc_Nat_Onat), hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19239), tc_Nat_Onat), _u19239), hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(_u19239), tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_Lazy__Sequence_Olazy__sequence(_u19239)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19239)))), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(c_Lazy__Sequence_Oyield(_u19239), _u19240))) )).
% 19.53/19.79 cnf(matrix-7813, plain, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19241, _u19242), _u19243) = c_Option_Ooption_Ooption__case(tc_Nat_Onat, tc_prod(_u19241, tc_Lazy__Sequence_Olazy__sequence(_u19241)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Product__Type_Oprod_Oprod__case(_u19241, tc_Lazy__Sequence_Olazy__sequence(_u19241), tc_Nat_Onat), hAPP(hAPP(c_COMBC(_u19241, tc_Nat_Onat, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19241), tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19241), tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_fun(tc_Nat_Onat, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19241), tc_Nat_Onat)), _u19241), c_COMBC(tc_Lazy__Sequence_Olazy__sequence(_u19241), tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19241), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19241), tc_fun(tc_Nat_Onat, tc_Nat_Onat)), _u19241), hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_Lazy__Sequence_Olazy__sequence(_u19241)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat))), hAPP(hAPP(c_COMBC(_u19241, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19241), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19241), tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19241), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u19241), tc_Nat_Onat)), _u19241), c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Lazy__Sequence_Olazy__sequence(_u19241))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), _u19241), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u19242))), c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19241, _u19242))))), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_Lazy__Sequence_Oyield(_u19241), _u19243))) )).
% 19.53/19.79 cnf(matrix-7814, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u19244, _u19245, _u19246, _u19247, _u19248) = c_Option_Ooption_Ooption__case(_u19244, tc_prod(_u19245, tc_Lazy__Sequence_Olazy__sequence(_u19245)), _u19246, hAPP(c_Product__Type_Oprod_Oprod__case(_u19245, tc_Lazy__Sequence_Olazy__sequence(_u19245), _u19244), _u19247), hAPP(c_Lazy__Sequence_Oyield(_u19245), _u19248))) )).
% 19.53/19.79 cnf(matrix-7815, plain, ( ( c_Lazy__Sequence_Oyieldn(_u19249) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(_u19249), _u19249, c_Lazy__Sequence_Oyield(_u19249))) )).
% 19.53/19.79 cnf(matrix-7816, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u19250, _u19251, _u19252, _u19253, c_Lazy__Sequence_Olazy__sequence_OInsert(_u19251, _u19254, _u19255)) = hAPP(hAPP(_u19253, _u19254), _u19255)) )).
% 19.53/19.79 cnf(matrix-7817, plain, ( c_Relation_Orefl__on(_u19259, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19257, tc_fun(_u19259, tc_HOL_Obool)), _u19258), _u19260), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19257, tc_fun(tc_prod(_u19259, _u19259), tc_HOL_Obool)), _u19258), _u19261)) | hBOOL(hAPP(hAPP(c_member(_u19257), skolem498(_u19261, _u19260, _u19259, _u19258, _u19257)), _u19258)) )).
% 19.53/19.79 cnf(matrix-7818, plain, ( c_Relation_Orefl__on(_u19259, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19257, tc_fun(_u19259, tc_HOL_Obool)), _u19258), _u19260), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19257, tc_fun(tc_prod(_u19259, _u19259), tc_HOL_Obool)), _u19258), _u19261)) | ~c_Relation_Orefl__on(_u19259, hAPP(_u19260, skolem498(_u19261, _u19260, _u19259, _u19258, _u19257)), hAPP(_u19261, skolem498(_u19261, _u19260, _u19259, _u19258, _u19257))) )).
% 19.53/19.79 cnf(matrix-7819, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19265), _u19267), hAPP(c_List_Oset(_u19265), _u19269))) | hBOOL(hAPP(hAPP(c_List_Omember(_u19265), _u19269), _u19267)) )).
% 19.53/19.79 cnf(matrix-7820, plain, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19266), _u19270), _u19268)) | hBOOL(hAPP(hAPP(c_member(_u19266), _u19268), hAPP(c_List_Oset(_u19266), _u19270))) )).
% 19.53/19.79 cnf(matrix-7821, plain, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19271), c_List_Olist_ONil(_u19271)), _u19272)) )).
% 19.53/19.79 cnf(matrix-7822, plain, ( ( c_List_Omember(_u19273) = c_List_Oset(_u19273)) )).
% 19.53/19.79 cnf(matrix-7823, plain, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19278), hAPP(hAPP(c_List_Olist_OCons(_u19278), _u19280), _u19282)), _u19284)) | ( _u19280 = _u19284) | hBOOL(hAPP(hAPP(c_List_Omember(_u19278), _u19282), _u19284)) )).
% 19.53/19.79 cnf(matrix-7824, plain, ( hBOOL(hAPP(hAPP(c_List_Omember(_u19279), hAPP(hAPP(c_List_Olist_OCons(_u19279), _u19281), _u19283)), _u19285)) | ( _u19281 != _u19285) )).
% 19.53/19.79 cnf(matrix-7825, plain, ( hBOOL(hAPP(hAPP(c_List_Omember(_u19279), hAPP(hAPP(c_List_Olist_OCons(_u19279), _u19281), _u19283)), _u19285)) | ~hBOOL(hAPP(hAPP(c_List_Omember(_u19279), _u19283), _u19285)) )).
% 19.53/19.79 cnf(matrix-7826, plain, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u19289), _u19291), _u19293)) | hBOOL(hAPP(hAPP(c_member(_u19289), _u19293), hAPP(c_List_Oset(_u19289), _u19291))) )).
% 19.53/19.79 cnf(matrix-7827, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19290), _u19294), hAPP(c_List_Oset(_u19290), _u19292))) | hBOOL(hAPP(hAPP(c_List_Omember(_u19290), _u19292), _u19294)) )).
% 19.53/19.79 cnf(matrix-7828, plain, ( ~c_List_Olist__ex1(_u19302, _u19304, _u19306) | hBOOL(hAPP(hAPP(c_member(_u19302), skolem499(_u19306, _u19304, _u19302)), hAPP(c_List_Oset(_u19302), _u19306))) )).
% 19.53/19.79 cnf(matrix-7829, plain, ( ~c_List_Olist__ex1(_u19302, _u19304, _u19306) | hBOOL(hAPP(_u19304, skolem499(_u19306, _u19304, _u19302))) )).
% 19.53/19.79 cnf(matrix-7830, plain, ( ~c_List_Olist__ex1(_u19302, _u19304, _u19306) | ~hBOOL(hAPP(hAPP(c_member(_u19302), _u19295), hAPP(c_List_Oset(_u19302), _u19306))) | ~hBOOL(hAPP(_u19304, _u19295)) | ( _u19295 = skolem499(_u19306, _u19304, _u19302)) )).
% 19.53/19.79 cnf(matrix-7831, plain, ( c_List_Olist__ex1(_u19303, _u19305, _u19307) | ~hBOOL(hAPP(hAPP(c_member(_u19303), _u19298), hAPP(c_List_Oset(_u19303), _u19307))) | ~hBOOL(hAPP(_u19305, _u19298)) | hBOOL(hAPP(hAPP(c_member(_u19303), skolem500(_u19307, _u19305, _u19303, _u19298)), hAPP(c_List_Oset(_u19303), _u19307))) )).
% 19.53/19.79 cnf(matrix-7832, plain, ( c_List_Olist__ex1(_u19303, _u19305, _u19307) | ~hBOOL(hAPP(hAPP(c_member(_u19303), _u19298), hAPP(c_List_Oset(_u19303), _u19307))) | ~hBOOL(hAPP(_u19305, _u19298)) | hBOOL(hAPP(_u19305, skolem500(_u19307, _u19305, _u19303, _u19298))) )).
% 19.53/19.79 cnf(matrix-7833, plain, ( c_List_Olist__ex1(_u19303, _u19305, _u19307) | ~hBOOL(hAPP(hAPP(c_member(_u19303), _u19298), hAPP(c_List_Oset(_u19303), _u19307))) | ~hBOOL(hAPP(_u19305, _u19298)) | ( skolem500(_u19307, _u19305, _u19303, _u19298) != _u19298) )).
% 19.53/19.79 cnf(matrix-7834, plain, ( ~class_Groups_Ocomm__monoid__add(_u19312) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19313, tc_HOL_Obool)), _u19314)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19313, tc_HOL_Obool)), skolem501(_u19315, _u19314, _u19313, _u19312)), _u19314)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19313, tc_HOL_Obool), _u19314)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19313, tc_HOL_Obool), _u19312), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315)), _u19314)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19313, tc_HOL_Obool)), skolem502(_u19315, _u19314, _u19313, _u19312)), _u19314)) )).
% 19.53/19.79 cnf(matrix-7835, plain, ( ~class_Groups_Ocomm__monoid__add(_u19312) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19313, tc_HOL_Obool)), _u19314)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19313, tc_HOL_Obool)), skolem501(_u19315, _u19314, _u19313, _u19312)), _u19314)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19313, tc_HOL_Obool), _u19314)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19313, tc_HOL_Obool), _u19312), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315)), _u19314)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19313, tc_HOL_Obool)), skolem503(_u19315, _u19314, _u19313, _u19312)), _u19314)) )).
% 19.53/19.79 cnf(matrix-7836, plain, ( ~class_Groups_Ocomm__monoid__add(_u19312) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19313, tc_HOL_Obool)), _u19314)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19313, tc_HOL_Obool)), skolem501(_u19315, _u19314, _u19313, _u19312)), _u19314)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19313, tc_HOL_Obool), _u19314)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19313, tc_HOL_Obool), _u19312), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315)), _u19314)) | ( skolem502(_u19315, _u19314, _u19313, _u19312) != skolem503(_u19315, _u19314, _u19313, _u19312)) )).
% 19.53/19.79 cnf(matrix-7837, plain, ( ~class_Groups_Ocomm__monoid__add(_u19312) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19313, tc_HOL_Obool)), _u19314)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19313, tc_HOL_Obool)), skolem501(_u19315, _u19314, _u19313, _u19312)), _u19314)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19313, tc_HOL_Obool), _u19314)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19313, tc_HOL_Obool), _u19312), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315)), _u19314)) | hBOOL(hAPP(hAPP(c_member(_u19313), skolem504(_u19315, _u19314, _u19313, _u19312)), skolem502(_u19315, _u19314, _u19313, _u19312))) )).
% 19.53/19.79 cnf(matrix-7838, plain, ( ~class_Groups_Ocomm__monoid__add(_u19312) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19313, tc_HOL_Obool)), _u19314)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19313, tc_HOL_Obool)), skolem501(_u19315, _u19314, _u19313, _u19312)), _u19314)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19313, tc_HOL_Obool), _u19314)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19313, tc_HOL_Obool), _u19312), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315)), _u19314)) | hBOOL(hAPP(hAPP(c_member(_u19313), skolem504(_u19315, _u19314, _u19313, _u19312)), skolem503(_u19315, _u19314, _u19313, _u19312))) )).
% 19.53/19.79 cnf(matrix-7839, plain, ( ~class_Groups_Ocomm__monoid__add(_u19312) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19313, tc_HOL_Obool)), _u19314)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19313, tc_HOL_Obool)), skolem501(_u19315, _u19314, _u19313, _u19312)), _u19314)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19313, tc_HOL_Obool), _u19314)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19313, tc_HOL_Obool), _u19312), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315)), _u19314)) | ( hAPP(_u19315, skolem504(_u19315, _u19314, _u19313, _u19312)) != c_Groups_Ozero__class_Ozero(_u19312)) )).
% 19.53/19.79 cnf(matrix-7840, plain, ( ~class_Groups_Ocomm__monoid__add(_u19312) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19313, tc_HOL_Obool)), _u19314)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19313), skolem501(_u19315, _u19314, _u19313, _u19312))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19313, tc_HOL_Obool), _u19314)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19313, tc_HOL_Obool), _u19312), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315)), _u19314)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19313, tc_HOL_Obool)), skolem502(_u19315, _u19314, _u19313, _u19312)), _u19314)) )).
% 19.53/19.79 cnf(matrix-7841, plain, ( ~class_Groups_Ocomm__monoid__add(_u19312) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19313, tc_HOL_Obool)), _u19314)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19313), skolem501(_u19315, _u19314, _u19313, _u19312))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19313, tc_HOL_Obool), _u19314)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19313, tc_HOL_Obool), _u19312), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315)), _u19314)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19313, tc_HOL_Obool)), skolem503(_u19315, _u19314, _u19313, _u19312)), _u19314)) )).
% 19.53/19.79 cnf(matrix-7842, plain, ( ~class_Groups_Ocomm__monoid__add(_u19312) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19313, tc_HOL_Obool)), _u19314)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19313), skolem501(_u19315, _u19314, _u19313, _u19312))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19313, tc_HOL_Obool), _u19314)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19313, tc_HOL_Obool), _u19312), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315)), _u19314)) | ( skolem502(_u19315, _u19314, _u19313, _u19312) != skolem503(_u19315, _u19314, _u19313, _u19312)) )).
% 19.53/19.79 cnf(matrix-7843, plain, ( ~class_Groups_Ocomm__monoid__add(_u19312) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19313, tc_HOL_Obool)), _u19314)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19313), skolem501(_u19315, _u19314, _u19313, _u19312))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19313, tc_HOL_Obool), _u19314)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19313, tc_HOL_Obool), _u19312), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315)), _u19314)) | hBOOL(hAPP(hAPP(c_member(_u19313), skolem504(_u19315, _u19314, _u19313, _u19312)), skolem502(_u19315, _u19314, _u19313, _u19312))) )).
% 19.53/19.79 cnf(matrix-7844, plain, ( ~class_Groups_Ocomm__monoid__add(_u19312) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19313, tc_HOL_Obool)), _u19314)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19313), skolem501(_u19315, _u19314, _u19313, _u19312))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19313, tc_HOL_Obool), _u19314)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19313, tc_HOL_Obool), _u19312), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315)), _u19314)) | hBOOL(hAPP(hAPP(c_member(_u19313), skolem504(_u19315, _u19314, _u19313, _u19312)), skolem503(_u19315, _u19314, _u19313, _u19312))) )).
% 19.53/19.79 cnf(matrix-7845, plain, ( ~class_Groups_Ocomm__monoid__add(_u19312) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u19313, tc_HOL_Obool)), _u19314)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19313), skolem501(_u19315, _u19314, _u19313, _u19312))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19313, tc_HOL_Obool), _u19314)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u19313, tc_HOL_Obool), _u19312), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u19313, _u19312), _u19315)), _u19314)) | ( hAPP(_u19315, skolem504(_u19315, _u19314, _u19313, _u19312)) != c_Groups_Ozero__class_Ozero(_u19312)) )).
% 19.53/19.79 cnf(matrix-7846, plain, ( ( c_FunDef_OTHE__default(_u19325, _u19327, _u19323) = c_HOL_OThe(_u19325, _u19323)) | ~hBOOL(hAPP(_u19323, _u19317)) | hBOOL(hAPP(_u19323, skolem505(_u19327, _u19325, _u19323, _u19317))) )).
% 19.53/19.79 cnf(matrix-7847, plain, ( ( c_FunDef_OTHE__default(_u19325, _u19327, _u19323) = c_HOL_OThe(_u19325, _u19323)) | ~hBOOL(hAPP(_u19323, _u19317)) | ( skolem505(_u19327, _u19325, _u19323, _u19317) != _u19317) )).
% 19.53/19.79 cnf(matrix-7848, plain, ( ( c_FunDef_OTHE__default(_u19326, _u19328, _u19324) = _u19328) | hBOOL(hAPP(_u19324, skolem506(_u19328, _u19326, _u19324))) )).
% 19.53/19.79 cnf(matrix-7849, plain, ( ( c_FunDef_OTHE__default(_u19326, _u19328, _u19324) = _u19328) | ~hBOOL(hAPP(_u19324, _u19318)) | ( _u19318 = skolem506(_u19328, _u19326, _u19324)) )).
% 19.53/19.79 cnf(matrix-7850, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19330, tc_fun(_u19331, tc_fun(_u19332, tc_HOL_Obool))), _u19333), _u19334), _u19335), _u19336)) | hBOOL(hAPP(hAPP(c_member(_u19330), skolem507(_u19336, _u19335, _u19334, _u19333, _u19332, _u19331, _u19330)), _u19333)) )).
% 19.53/19.79 cnf(matrix-7851, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19330, tc_fun(_u19331, tc_fun(_u19332, tc_HOL_Obool))), _u19333), _u19334), _u19335), _u19336)) | hBOOL(hAPP(hAPP(hAPP(_u19334, skolem507(_u19336, _u19335, _u19334, _u19333, _u19332, _u19331, _u19330)), _u19335), _u19336)) )).
% 19.53/19.79 cnf(matrix-7852, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19338, tc_fun(_u19343, tc_fun(_u19344, tc_HOL_Obool))), _u19339), _u19340), _u19341), _u19342)) | hBOOL(hAPP(hAPP(c_member(_u19338), skolem508(_u19344, _u19343, _u19342, _u19341, _u19340, _u19339, _u19338)), _u19339)) )).
% 19.53/19.79 cnf(matrix-7853, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19338, tc_fun(_u19343, tc_fun(_u19344, tc_HOL_Obool))), _u19339), _u19340), _u19341), _u19342)) | ~hBOOL(hAPP(hAPP(hAPP(_u19340, skolem508(_u19344, _u19343, _u19342, _u19341, _u19340, _u19339, _u19338)), _u19341), _u19342)) )).
% 19.53/19.79 cnf(matrix-7854, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u19347)), _u19348)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19347)), _u19345), _u19348)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19347)), _u19345)), skolem509(_u19348, _u19347))) )).
% 19.53/19.79 cnf(matrix-7855, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u19349)), c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19349)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.79 cnf(matrix-7856, plain, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u19350, _u19351), c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19350)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.79 cnf(matrix-7857, plain, ( ( c_Lazy__Sequence_Oappend(_u19352, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19352), _u19353) = _u19353) )).
% 19.53/19.79 cnf(matrix-7858, plain, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u19354, _u19355, _u19356) != c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19354)) )).
% 19.53/19.79 cnf(matrix-7859, plain, ( ( c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19357) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u19357, _u19358, _u19359)) )).
% 19.53/19.79 cnf(matrix-7860, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u19360, _u19361, _u19362, _u19363, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19361)) = _u19362) )).
% 19.53/19.79 cnf(matrix-7861, plain, ( ~c_List_Olist__all(tc_Int_Oint, _u19367, c_List_Oupto(_u19369, _u19371)) | c_List_Oall__interval__int(_u19367, _u19369, _u19371) )).
% 19.53/19.79 cnf(matrix-7862, plain, ( ~c_List_Oall__interval__int(_u19368, _u19370, _u19372) | c_List_Olist__all(tc_Int_Oint, _u19368, c_List_Oupto(_u19370, _u19372)) )).
% 19.53/19.79 cnf(matrix-7863, plain, ( ~c_List_Olist__ex(tc_Int_Oint, _u19376, c_List_Oupto(_u19378, _u19380)) | ~c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint, c_fNot), _u19376), _u19378, _u19380) )).
% 19.53/19.79 cnf(matrix-7864, plain, ( c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint, c_fNot), _u19377), _u19379, _u19381) | c_List_Olist__ex(tc_Int_Oint, _u19377, c_List_Oupto(_u19379, _u19381)) )).
% 19.53/19.79 cnf(matrix-7865, plain, ( ~c_List_Oall__interval__int(_u19387, _u19389, _u19391) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u19382), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u19389, _u19391))) | hBOOL(hAPP(_u19387, _u19382)) )).
% 19.53/19.79 cnf(matrix-7866, plain, ( c_List_Oall__interval__int(_u19388, _u19390, _u19392) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem510(_u19392, _u19390, _u19388)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u19390, _u19392))) )).
% 19.53/19.79 cnf(matrix-7867, plain, ( c_List_Oall__interval__int(_u19388, _u19390, _u19392) | ~hBOOL(hAPP(_u19388, skolem510(_u19392, _u19390, _u19388))) )).
% 19.53/19.79 cnf(matrix-7868, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u19397), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u19399, _u19401, _u19397, _u19403) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19399)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u19399))) )).
% 19.53/19.79 cnf(matrix-7869, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u19398), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u19400, _u19402, _u19398, _u19404) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u19400, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm)), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19400)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(_u19402, _u19404)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19400)))), tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19400)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)))), tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19400)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_prod(_u19400, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19400)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19400)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random__Sequence_ORandom(_u19400, _u19402, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19398), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u19404))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19400)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19400))))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19400)))), tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19400)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)))), tc_prod(_u19400, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19400)))), tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19400)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19400))))), c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19400)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19400)))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19400)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19400))))), tc_prod(_u19400, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Ounion(_u19400)), hAPP(hAPP(c_COMBB(_u19400, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19400)))), tc_prod(_u19400, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Osingle(_u19400)), c_Product__Type_Ofst(_u19400, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm)))))))) )).
% 19.53/19.79 cnf(matrix-7870, plain, ( ~hBOOL(hAPP(hAPP(_u19407, hAPP(c_Product__Type_Osnd(_u19408, _u19409), _u19410)), hAPP(c_Product__Type_Ofst(_u19408, _u19409), _u19410))) | hBOOL(hAPP(_u19411, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u19408, _u19409, _u19413), _u19412), _u19410))) | hBOOL(hAPP(hAPP(_u19407, skolem512(_u19413, _u19412, _u19411, _u19410, _u19409, _u19408, _u19407)), skolem511(_u19413, _u19412, _u19411, _u19410, _u19409, _u19408, _u19407))) )).
% 19.53/19.79 cnf(matrix-7871, plain, ( ~hBOOL(hAPP(hAPP(_u19407, hAPP(c_Product__Type_Osnd(_u19408, _u19409), _u19410)), hAPP(c_Product__Type_Ofst(_u19408, _u19409), _u19410))) | hBOOL(hAPP(_u19411, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u19408, _u19409, _u19413), _u19412), _u19410))) | ~hBOOL(hAPP(_u19411, hAPP(hAPP(_u19412, skolem511(_u19413, _u19412, _u19411, _u19410, _u19409, _u19408, _u19407)), skolem512(_u19413, _u19412, _u19411, _u19410, _u19409, _u19408, _u19407)))) )).
% 19.53/19.79 cnf(matrix-7872, plain, ( ( c_Random__Sequence_Oempty(_u19414, _u19415, _u19416) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19414)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u19414))) )).
% 19.53/19.79 cnf(matrix-7873, plain, ( ( hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(_u19417), _u19418), _u19419), _u19420) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19417)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_DSequence_Osingle(_u19417), _u19418))) )).
% 19.53/19.79 cnf(matrix-7874, plain, ( ( c_Random__Sequence_Omap(_u19421, _u19422, _u19423, _u19424) = c_Random__Sequence_Obind(_u19421, _u19422, _u19424, hAPP(c_Fun_Ocomp(_u19422, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u19422)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))))), _u19421, c_Random__Sequence_Osingle(_u19422)), _u19423))) )).
% 19.53/19.79 cnf(matrix-7875, plain, ( ( hAPP(c_Relation_OImage(_u19425, _u19426, hAPP(c_Set_OCollect(tc_prod(_u19425, _u19426)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19425, _u19426, tc_HOL_Obool), _u19427))), _u19428) = hAPP(c_Set_OCollect(_u19426), hAPP(hAPP(c_COMBB(tc_fun(_u19425, tc_HOL_Obool), tc_HOL_Obool, _u19426), c_HOL_OEx(_u19425)), hAPP(hAPP(c_COMBB(tc_fun(_u19425, tc_HOL_Obool), tc_fun(_u19425, tc_HOL_Obool), _u19426), hAPP(c_COMBS(_u19425, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19425), c_fconj), hAPP(hAPP(c_COMBC(_u19425, tc_fun(_u19425, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19425)), _u19428)))), hAPP(c_COMBC(_u19425, _u19426, tc_HOL_Obool), _u19427))))) )).
% 19.53/19.79 cnf(matrix-7876, plain, ( ~c_List_Olist__ex(_u19434, _u19436, _u19438) | hBOOL(hAPP(hAPP(c_member(_u19434), skolem513(_u19438, _u19436, _u19434)), hAPP(c_List_Oset(_u19434), _u19438))) )).
% 19.53/19.79 cnf(matrix-7877, plain, ( ~c_List_Olist__ex(_u19434, _u19436, _u19438) | hBOOL(hAPP(_u19436, skolem513(_u19438, _u19436, _u19434))) )).
% 19.53/19.79 cnf(matrix-7878, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19435), _u19430), hAPP(c_List_Oset(_u19435), _u19439))) | ~hBOOL(hAPP(_u19437, _u19430)) | c_List_Olist__ex(_u19435, _u19437, _u19439) )).
% 19.53/19.79 cnf(matrix-7879, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19445), _u19440), hAPP(c_List_Oset(_u19445), _u19447))) | ~hBOOL(hAPP(_u19449, _u19440)) | c_List_Olist__ex(_u19445, _u19449, _u19447) )).
% 19.53/19.79 cnf(matrix-7880, plain, ( ~c_List_Olist__ex(_u19446, _u19450, _u19448) | hBOOL(hAPP(hAPP(c_member(_u19446), skolem514(_u19450, _u19448, _u19446)), hAPP(c_List_Oset(_u19446), _u19448))) )).
% 19.53/19.79 cnf(matrix-7881, plain, ( ~c_List_Olist__ex(_u19446, _u19450, _u19448) | hBOOL(hAPP(_u19450, skolem514(_u19450, _u19448, _u19446))) )).
% 19.53/19.79 cnf(matrix-7882, plain, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19451, tc_HOL_Obool) = c_Set_OBex(_u19451)) )).
% 19.53/19.79 cnf(matrix-7883, plain, ( hBOOL(hAPP(_u19460, skolem515(_u19460))) | ~hBOOL(hAPP(hAPP(c_member(_u19458), _u19452), c_Orderings_Otop__class_Otop(tc_fun(_u19458, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u19460, _u19452)) )).
% 19.53/19.79 cnf(matrix-7884, plain, ( ~hBOOL(hAPP(_u19461, _u19454)) | hBOOL(hAPP(hAPP(c_member(_u19459), skolem516(_u19461, _u19459)), c_Orderings_Otop__class_Otop(tc_fun(_u19459, tc_HOL_Obool)))) )).
% 19.53/19.79 cnf(matrix-7885, plain, ( ~hBOOL(hAPP(_u19461, _u19454)) | hBOOL(hAPP(_u19461, skolem516(_u19461, _u19459))) )).
% 19.53/19.79 cnf(matrix-7886, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19464), _u19465)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19466), hAPP(c_Set_OCollect(_u19466), hAPP(hAPP(c_COMBB(tc_fun(_u19464, tc_HOL_Obool), tc_HOL_Obool, _u19466), c_HOL_OEx(_u19464)), hAPP(hAPP(c_COMBB(tc_fun(_u19464, tc_HOL_Obool), tc_fun(_u19464, tc_HOL_Obool), _u19466), hAPP(c_COMBS(_u19464, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19464), c_fconj), hAPP(hAPP(c_COMBC(_u19464, tc_fun(_u19464, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19464)), _u19465)))), _u19467))))) | ~hBOOL(hAPP(hAPP(c_member(_u19464), _u19462), _u19465)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19466), hAPP(c_Set_OCollect(_u19466), hAPP(hAPP(c_COMBC(_u19466, _u19464, tc_HOL_Obool), _u19467), _u19462)))) )).
% 19.53/19.79 cnf(matrix-7887, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19464), _u19465)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19466), hAPP(c_Set_OCollect(_u19466), hAPP(hAPP(c_COMBB(tc_fun(_u19464, tc_HOL_Obool), tc_HOL_Obool, _u19466), c_HOL_OEx(_u19464)), hAPP(hAPP(c_COMBB(tc_fun(_u19464, tc_HOL_Obool), tc_fun(_u19464, tc_HOL_Obool), _u19466), hAPP(c_COMBS(_u19464, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19464), c_fconj), hAPP(hAPP(c_COMBC(_u19464, tc_fun(_u19464, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19464)), _u19465)))), _u19467))))) | hBOOL(hAPP(hAPP(c_member(_u19464), skolem517(_u19467, _u19466, _u19465, _u19464)), _u19465)) )).
% 19.53/19.79 cnf(matrix-7888, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19464), _u19465)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19466), hAPP(c_Set_OCollect(_u19466), hAPP(hAPP(c_COMBB(tc_fun(_u19464, tc_HOL_Obool), tc_HOL_Obool, _u19466), c_HOL_OEx(_u19464)), hAPP(hAPP(c_COMBB(tc_fun(_u19464, tc_HOL_Obool), tc_fun(_u19464, tc_HOL_Obool), _u19466), hAPP(c_COMBS(_u19464, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19464), c_fconj), hAPP(hAPP(c_COMBC(_u19464, tc_fun(_u19464, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19464)), _u19465)))), _u19467))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19466), hAPP(c_Set_OCollect(_u19466), hAPP(hAPP(c_COMBC(_u19466, _u19464, tc_HOL_Obool), _u19467), skolem517(_u19467, _u19466, _u19465, _u19464))))) )).
% 19.53/19.79 cnf(matrix-7889, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19469), _u19468), c_Orderings_Obot__class_Obot(tc_fun(_u19469, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u19470, _u19468)) )).
% 19.53/19.79 cnf(matrix-7890, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19471, tc_HOL_Obool), _u19472) = hAPP(c_Set_OCollect(_u19471), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19471, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u19471), c_HOL_OEx(tc_fun(_u19471, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19471, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u19471, tc_HOL_Obool), tc_HOL_Obool), _u19471), hAPP(c_COMBS(tc_fun(_u19471, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19471, tc_HOL_Obool)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19471, tc_HOL_Obool), tc_fun(tc_fun(_u19471, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19471, tc_HOL_Obool))), _u19472)))), c_member(_u19471))))) )).
% 19.53/19.79 cnf(matrix-7891, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19473, tc_fun(_u19474, tc_HOL_Obool)), _u19475), _u19476) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19474, tc_HOL_Obool), hAPP(c_Set_OCollect(tc_fun(_u19474, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19473, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u19474, tc_HOL_Obool)), c_HOL_OEx(_u19473)), hAPP(hAPP(c_COMBB(tc_fun(_u19473, tc_HOL_Obool), tc_fun(_u19473, tc_HOL_Obool), tc_fun(_u19474, tc_HOL_Obool)), hAPP(c_COMBS(_u19473, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19473), c_fconj), hAPP(hAPP(c_COMBC(_u19473, tc_fun(_u19473, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19473)), _u19475)))), hAPP(hAPP(c_COMBC(tc_fun(_u19474, tc_HOL_Obool), tc_fun(_u19473, tc_fun(_u19474, tc_HOL_Obool)), tc_fun(_u19473, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19474, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u19473, tc_fun(_u19474, tc_HOL_Obool)), tc_fun(_u19473, tc_HOL_Obool)), tc_fun(_u19474, tc_HOL_Obool)), c_COMBB(tc_fun(_u19474, tc_HOL_Obool), tc_HOL_Obool, _u19473)), c_fequal)), _u19476)))))) )).
% 19.53/19.79 cnf(matrix-7892, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19477, tc_fun(_u19478, tc_HOL_Obool)), _u19479), _u19480) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19478, tc_HOL_Obool), hAPP(c_Set_OCollect(tc_fun(_u19478, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19477, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u19478, tc_HOL_Obool)), c_HOL_OEx(_u19477)), hAPP(hAPP(c_COMBB(tc_fun(_u19477, tc_HOL_Obool), tc_fun(_u19477, tc_HOL_Obool), tc_fun(_u19478, tc_HOL_Obool)), hAPP(c_COMBS(_u19477, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19477), c_fconj), hAPP(hAPP(c_COMBC(_u19477, tc_fun(_u19477, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19477)), _u19479)))), hAPP(hAPP(c_COMBC(tc_fun(_u19478, tc_HOL_Obool), tc_fun(_u19477, tc_fun(_u19478, tc_HOL_Obool)), tc_fun(_u19477, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19478, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u19477, tc_fun(_u19478, tc_HOL_Obool)), tc_fun(_u19477, tc_HOL_Obool)), tc_fun(_u19478, tc_HOL_Obool)), c_COMBB(tc_fun(_u19478, tc_HOL_Obool), tc_HOL_Obool, _u19477)), c_fequal)), _u19480)))))) )).
% 19.53/19.79 cnf(matrix-7893, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19481) | ( hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19482, _u19481), _u19483), _u19484) = c_Complete__Lattice_OSup__class_OSup(_u19481, hAPP(c_Set_OCollect(_u19481), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19482, _u19481), tc_HOL_Obool), tc_HOL_Obool, _u19481), c_HOL_OEx(tc_fun(_u19482, _u19481))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19482, _u19481), tc_HOL_Obool), tc_fun(tc_fun(_u19482, _u19481), tc_HOL_Obool), _u19481), hAPP(c_COMBS(tc_fun(_u19482, _u19481), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19482, _u19481)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19482, _u19481), tc_fun(tc_fun(_u19482, _u19481), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19482, _u19481))), _u19483)))), hAPP(hAPP(c_COMBC(_u19481, tc_fun(tc_fun(_u19482, _u19481), _u19481), tc_fun(tc_fun(_u19482, _u19481), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19481, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19482, _u19481), _u19481), tc_fun(tc_fun(_u19482, _u19481), tc_HOL_Obool)), _u19481), c_COMBB(_u19481, tc_HOL_Obool, tc_fun(_u19482, _u19481))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19482, _u19481), _u19482, _u19481), c_COMBI(tc_fun(_u19482, _u19481))), _u19484))))))) )).
% 19.53/19.79 cnf(matrix-7894, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19485) | ( hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(_u19486, _u19485), _u19487), _u19488) = c_Complete__Lattice_OSup__class_OSup(_u19485, hAPP(c_Set_OCollect(_u19485), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19486, _u19485), tc_HOL_Obool), tc_HOL_Obool, _u19485), c_HOL_OEx(tc_fun(_u19486, _u19485))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19486, _u19485), tc_HOL_Obool), tc_fun(tc_fun(_u19486, _u19485), tc_HOL_Obool), _u19485), hAPP(c_COMBS(tc_fun(_u19486, _u19485), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19486, _u19485)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19486, _u19485), tc_fun(tc_fun(_u19486, _u19485), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19486, _u19485))), _u19487)))), hAPP(hAPP(c_COMBC(_u19485, tc_fun(tc_fun(_u19486, _u19485), _u19485), tc_fun(tc_fun(_u19486, _u19485), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19485, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19486, _u19485), _u19485), tc_fun(tc_fun(_u19486, _u19485), tc_HOL_Obool)), _u19485), c_COMBB(_u19485, tc_HOL_Obool, tc_fun(_u19486, _u19485))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19486, _u19485), _u19486, _u19485), c_COMBI(tc_fun(_u19486, _u19485))), _u19488))))))) )).
% 19.53/19.79 cnf(matrix-7895, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19489) | ( hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19490, _u19489), _u19491), _u19492) = c_Complete__Lattice_OInf__class_OInf(_u19489, hAPP(c_Set_OCollect(_u19489), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19490, _u19489), tc_HOL_Obool), tc_HOL_Obool, _u19489), c_HOL_OEx(tc_fun(_u19490, _u19489))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19490, _u19489), tc_HOL_Obool), tc_fun(tc_fun(_u19490, _u19489), tc_HOL_Obool), _u19489), hAPP(c_COMBS(tc_fun(_u19490, _u19489), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19490, _u19489)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19490, _u19489), tc_fun(tc_fun(_u19490, _u19489), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19490, _u19489))), _u19491)))), hAPP(hAPP(c_COMBC(_u19489, tc_fun(tc_fun(_u19490, _u19489), _u19489), tc_fun(tc_fun(_u19490, _u19489), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19489, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19490, _u19489), _u19489), tc_fun(tc_fun(_u19490, _u19489), tc_HOL_Obool)), _u19489), c_COMBB(_u19489, tc_HOL_Obool, tc_fun(_u19490, _u19489))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19490, _u19489), _u19490, _u19489), c_COMBI(tc_fun(_u19490, _u19489))), _u19492))))))) )).
% 19.53/19.79 cnf(matrix-7896, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u19493) | ( hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(_u19494, _u19493), _u19495), _u19496) = c_Complete__Lattice_OInf__class_OInf(_u19493, hAPP(c_Set_OCollect(_u19493), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19494, _u19493), tc_HOL_Obool), tc_HOL_Obool, _u19493), c_HOL_OEx(tc_fun(_u19494, _u19493))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19494, _u19493), tc_HOL_Obool), tc_fun(tc_fun(_u19494, _u19493), tc_HOL_Obool), _u19493), hAPP(c_COMBS(tc_fun(_u19494, _u19493), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19494, _u19493)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19494, _u19493), tc_fun(tc_fun(_u19494, _u19493), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19494, _u19493))), _u19495)))), hAPP(hAPP(c_COMBC(_u19493, tc_fun(tc_fun(_u19494, _u19493), _u19493), tc_fun(tc_fun(_u19494, _u19493), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19493, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19494, _u19493), _u19493), tc_fun(tc_fun(_u19494, _u19493), tc_HOL_Obool)), _u19493), c_COMBB(_u19493, tc_HOL_Obool, tc_fun(_u19494, _u19493))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19494, _u19493), _u19494, _u19493), c_COMBI(tc_fun(_u19494, _u19493))), _u19496))))))) )).
% 19.53/19.79 cnf(matrix-7897, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19499), _u19500)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19499), _u19501)) | ( _u19501 = c_Orderings_Obot__class_Obot(tc_fun(_u19499, tc_HOL_Obool))) | c_Wellfounded_Omax__extp(_u19499, _u19502, _u19500, _u19501) | hBOOL(hAPP(hAPP(c_member(_u19499), skolem518(_u19502, _u19501, _u19500, _u19499)), _u19500)) )).
% 19.53/19.79 cnf(matrix-7898, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19499), _u19500)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19499), _u19501)) | ( _u19501 = c_Orderings_Obot__class_Obot(tc_fun(_u19499, tc_HOL_Obool))) | c_Wellfounded_Omax__extp(_u19499, _u19502, _u19500, _u19501) | ~hBOOL(hAPP(hAPP(c_member(_u19499), _u19497), _u19501)) | ~hBOOL(hAPP(hAPP(_u19502, skolem518(_u19502, _u19501, _u19500, _u19499)), _u19497)) )).
% 19.53/19.79 cnf(matrix-7899, plain, ( ~c_Wellfounded_Omax__extp(_u19511, _u19513, _u19515, _u19517) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19511), _u19515)) )).
% 19.53/19.79 cnf(matrix-7900, plain, ( ~c_Wellfounded_Omax__extp(_u19511, _u19513, _u19515, _u19517) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19511), _u19517)) )).
% 19.53/19.79 cnf(matrix-7901, plain, ( ~c_Wellfounded_Omax__extp(_u19511, _u19513, _u19515, _u19517) | ( _u19517 != c_Orderings_Obot__class_Obot(tc_fun(_u19511, tc_HOL_Obool))) )).
% 19.53/19.79 cnf(matrix-7902, plain, ( ~c_Wellfounded_Omax__extp(_u19511, _u19513, _u19515, _u19517) | ~hBOOL(hAPP(hAPP(c_member(_u19511), _u19504), _u19515)) | hBOOL(hAPP(hAPP(c_member(_u19511), skolem519(_u19517, _u19515, _u19513, _u19511, _u19504)), _u19517)) )).
% 19.53/19.79 cnf(matrix-7903, plain, ( ~c_Wellfounded_Omax__extp(_u19511, _u19513, _u19515, _u19517) | ~hBOOL(hAPP(hAPP(c_member(_u19511), _u19504), _u19515)) | hBOOL(hAPP(hAPP(_u19513, _u19504), skolem519(_u19517, _u19515, _u19513, _u19511, _u19504))) )).
% 19.53/19.79 cnf(matrix-7904, plain, ( c_Wellfounded_Omax__extp(_u19512, _u19514, _u19516, _u19518) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19512), _u19516)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19512), _u19518)) | ( _u19518 = c_Orderings_Obot__class_Obot(tc_fun(_u19512, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u19512), skolem520(_u19518, _u19516, _u19514, _u19512)), _u19516)) )).
% 19.53/19.79 cnf(matrix-7905, plain, ( c_Wellfounded_Omax__extp(_u19512, _u19514, _u19516, _u19518) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19512), _u19516)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19512), _u19518)) | ( _u19518 = c_Orderings_Obot__class_Obot(tc_fun(_u19512, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u19512), _u19505), _u19518)) | ~hBOOL(hAPP(hAPP(_u19514, skolem520(_u19518, _u19516, _u19514, _u19512)), _u19505)) )).
% 19.53/19.79 cnf(matrix-7906, plain, ( ( c_Partial__Function_Ofun__lub(_u19519, _u19520, _u19521, _u19522, _u19523, _u19524) = hAPP(_u19522, hAPP(c_Set_OCollect(_u19519), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19521, _u19519), tc_HOL_Obool), tc_HOL_Obool, _u19519), c_HOL_OEx(tc_fun(_u19521, _u19519))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19521, _u19519), tc_HOL_Obool), tc_fun(tc_fun(_u19521, _u19519), tc_HOL_Obool), _u19519), hAPP(c_COMBS(tc_fun(_u19521, _u19519), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u19521, _u19519)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u19521, _u19519), tc_fun(tc_fun(_u19521, _u19519), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u19521, _u19519))), _u19523)))), hAPP(hAPP(c_COMBC(_u19519, tc_fun(tc_fun(_u19521, _u19519), _u19519), tc_fun(tc_fun(_u19521, _u19519), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19519, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u19521, _u19519), _u19519), tc_fun(tc_fun(_u19521, _u19519), tc_HOL_Obool)), _u19519), c_COMBB(_u19519, tc_HOL_Obool, tc_fun(_u19521, _u19519))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u19521, _u19519), _u19521, _u19519), c_COMBI(tc_fun(_u19521, _u19519))), _u19524))))))) )).
% 19.53/19.79 cnf(matrix-7907, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19525), tc_List_Olist(_u19525))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19525), tc_List_Olist(_u19525)), _u19526), _u19527)), c_List_Olexord(_u19525, _u19528))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19525), tc_List_Olist(_u19525))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19525), tc_List_Olist(_u19525)), _u19527), _u19529)), c_List_Olexord(_u19525, _u19528))) | ~c_Relation_Otrans(_u19525, _u19528) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u19525), tc_List_Olist(_u19525))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u19525), tc_List_Olist(_u19525)), _u19526), _u19529)), c_List_Olexord(_u19525, _u19528))) )).
% 19.53/19.79 cnf(matrix-7908, plain, ( c_Relation_Otrans(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 19.53/19.79 cnf(matrix-7909, plain, ( ~c_Relation_Otrans(_u19530, _u19531) | ~c_Relation_Otrans(_u19532, _u19533) | c_Relation_Otrans(tc_prod(_u19530, _u19532), c_Wellfounded_Olex__prod(_u19530, _u19532, _u19531, _u19533)) )).
% 19.53/19.79 cnf(matrix-7910, plain, ( ~c_Relation_Otrans(_u19534, _u19535) | c_Relation_Otrans(_u19534, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19534, _u19534), tc_HOL_Obool)), _u19535), c_Relation_OId(_u19534))) )).
% 19.53/19.79 cnf(matrix-7911, plain, ( ~c_Relation_Otrans(_u19536, _u19537) | c_Relation_Otrans(_u19538, hAPP(hAPP(c_Relation_Oinv__image(_u19536, _u19538), _u19537), _u19539)) )).
% 19.53/19.79 cnf(matrix-7912, plain, ( ~c_Relation_Otrans(_u19540, _u19541) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19540, _u19540), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u19540, _u19540, _u19540), _u19541), _u19541)), _u19541)) )).
% 19.53/19.79 cnf(matrix-7913, plain, ( ~c_Relation_Otrans(_u19542, _u19543) | ~c_Relation_Otrans(_u19542, _u19544) | c_Relation_Otrans(_u19542, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u19542, _u19542), tc_HOL_Obool)), _u19543), _u19544)) )).
% 19.53/19.79 cnf(matrix-7914, plain, ( ~c_Relation_Otrans(_u19545, _u19546) | c_Relation_Otrans(tc_List_Olist(_u19545), c_List_Olistrel(_u19545, _u19546)) )).
% 19.53/19.79 cnf(matrix-7915, plain, ( ~c_Relation_Otrans(_u19549, hAPP(c_Relation_Oconverse(_u19549, _u19549), _u19551)) | c_Relation_Otrans(_u19549, _u19551) )).
% 19.53/19.79 cnf(matrix-7916, plain, ( ~c_Relation_Otrans(_u19550, _u19552) | c_Relation_Otrans(_u19550, hAPP(c_Relation_Oconverse(_u19550, _u19550), _u19552)) )).
% 19.53/19.79 cnf(matrix-7917, plain, ( ~c_Relation_Otrans(_u19553, _u19554) | c_Relation_Otrans(tc_List_Olist(_u19553), c_List_Olexord(_u19553, _u19554)) )).
% 19.53/19.79 cnf(matrix-7918, plain, ( c_Relation_Otrans(_u19555, c_Relation_OId(_u19555)) )).
% 19.53/19.79 cnf(matrix-7919, plain, ( ~c_Relation_Otrans(_u19556, _u19557) | ( c_Transitive__Closure_Otrancl(_u19556, _u19557) = _u19557) )).
% 19.53/19.79 cnf(matrix-7920, plain, ( c_Relation_Otrans(_u19558, c_Transitive__Closure_Otrancl(_u19558, _u19559)) )).
% 19.53/19.79 cnf(matrix-7921, plain, ( c_Relation_Otrans(_u19560, c_Relation_OId__on(_u19560, _u19561)) )).
% 19.53/19.79 cnf(matrix-7922, plain, ( c_Relation_Otrans(tc_fun(_u19562, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u19562)) )).
% 19.53/19.79 cnf(matrix-7923, plain, ( c_Relation_Otrans(_u19563, c_Transitive__Closure_Ortrancl(_u19563, _u19564)) )).
% 19.53/19.79 cnf(matrix-7924, plain, ( ~c_Relation_Otrans(_u19565, _u19566) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19565, _u19565)), hAPP(hAPP(c_Product__Type_OPair(_u19565, _u19565), _u19567), _u19568)), _u19566)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19565, _u19565)), hAPP(hAPP(c_Product__Type_OPair(_u19565, _u19565), _u19568), _u19569)), _u19566)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19565, _u19565)), hAPP(hAPP(c_Product__Type_OPair(_u19565, _u19565), _u19567), _u19569)), _u19566)) )).
% 19.53/19.79 cnf(matrix-7925, plain, ( ~c_Relation_Otrans(_u19578, _u19580) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19578, _u19578)), hAPP(hAPP(c_Product__Type_OPair(_u19578, _u19578), _u19572), _u19571)), _u19580)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19578, _u19578)), hAPP(hAPP(c_Product__Type_OPair(_u19578, _u19578), _u19571), _u19570)), _u19580)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19578, _u19578)), hAPP(hAPP(c_Product__Type_OPair(_u19578, _u19578), _u19572), _u19570)), _u19580)) )).
% 19.53/19.79 cnf(matrix-7926, plain, ( c_Relation_Otrans(_u19579, _u19581) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19579, _u19579)), hAPP(hAPP(c_Product__Type_OPair(_u19579, _u19579), skolem521(_u19581, _u19579)), skolem522(_u19581, _u19579))), _u19581)) )).
% 19.53/19.79 cnf(matrix-7927, plain, ( c_Relation_Otrans(_u19579, _u19581) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19579, _u19579)), hAPP(hAPP(c_Product__Type_OPair(_u19579, _u19579), skolem522(_u19581, _u19579)), skolem523(_u19581, _u19579))), _u19581)) )).
% 19.53/19.79 cnf(matrix-7928, plain, ( c_Relation_Otrans(_u19579, _u19581) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19579, _u19579)), hAPP(hAPP(c_Product__Type_OPair(_u19579, _u19579), skolem521(_u19581, _u19579)), skolem523(_u19581, _u19579))), _u19581)) )).
% 19.53/19.79 cnf(matrix-7929, plain, ( ~c_Predicate_Otransp(_u19584, _u19586) | c_Relation_Otrans(_u19584, hAPP(c_Set_OCollect(tc_prod(_u19584, _u19584)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19584, _u19584, tc_HOL_Obool), _u19586))) )).
% 19.53/19.79 cnf(matrix-7930, plain, ( ~c_Relation_Otrans(_u19585, hAPP(c_Set_OCollect(tc_prod(_u19585, _u19585)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19585, _u19585, tc_HOL_Obool), _u19587))) | c_Predicate_Otransp(_u19585, _u19587) )).
% 19.53/19.79 cnf(matrix-7931, plain, ( ~c_Relation_Otrans(_u19588, _u19589) | ~c_Relation_Oantisym(_u19588, _u19589) | c_Relation_Otrans(_u19588, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u19588, _u19588), tc_HOL_Obool)), _u19589), c_Relation_OId(_u19588))) )).
% 19.53/19.79 cnf(matrix-7932, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19590, _u19590), tc_HOL_Obool)), _u19591), _u19592)) | ~c_Relation_Oantisym(_u19590, _u19592) | c_Relation_Oantisym(_u19590, _u19591) )).
% 19.53/19.79 cnf(matrix-7933, plain, ( c_Relation_Oantisym(_u19593, c_Relation_OId(_u19593)) )).
% 19.53/19.79 cnf(matrix-7934, plain, ( ~hBOOL(hAPP(hAPP(_u19595, _u19596), _u19597)) | ~hBOOL(hAPP(hAPP(_u19595, _u19597), _u19598)) | hBOOL(hAPP(hAPP(_u19595, _u19596), _u19598)) | ~c_Predicate_Otransp(_u19594, _u19595) )).
% 19.53/19.79 cnf(matrix-7935, plain, ( ~c_Relation_Oantisym(_u19601, hAPP(c_Relation_Oconverse(_u19601, _u19601), _u19603)) | c_Relation_Oantisym(_u19601, _u19603) )).
% 19.53/19.79 cnf(matrix-7936, plain, ( ~c_Relation_Oantisym(_u19602, _u19604) | c_Relation_Oantisym(_u19602, hAPP(c_Relation_Oconverse(_u19602, _u19602), _u19604)) )).
% 19.53/19.79 cnf(matrix-7937, plain, ( c_Relation_Oantisym(_u19605, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u19605, _u19605), tc_HOL_Obool))) )).
% 19.53/19.79 cnf(matrix-7938, plain, ( c_Relation_Oantisym(_u19606, c_Relation_OId__on(_u19606, _u19607)) )).
% 19.53/19.79 cnf(matrix-7939, plain, ( ~c_Relation_Oantisym(_u19608, _u19609) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19608, _u19608)), hAPP(hAPP(c_Product__Type_OPair(_u19608, _u19608), _u19610), _u19611)), _u19609)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19608, _u19608)), hAPP(hAPP(c_Product__Type_OPair(_u19608, _u19608), _u19611), _u19610)), _u19609)) | ( _u19610 = _u19611) )).
% 19.53/19.79 cnf(matrix-7940, plain, ( ~c_Relation_Oantisym(_u19618, _u19620) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19618, _u19618)), hAPP(hAPP(c_Product__Type_OPair(_u19618, _u19618), _u19613), _u19612)), _u19620)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19618, _u19618)), hAPP(hAPP(c_Product__Type_OPair(_u19618, _u19618), _u19612), _u19613)), _u19620)) | ( _u19613 = _u19612) )).
% 19.53/19.79 cnf(matrix-7941, plain, ( c_Relation_Oantisym(_u19619, _u19621) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19619, _u19619)), hAPP(hAPP(c_Product__Type_OPair(_u19619, _u19619), skolem524(_u19621, _u19619)), skolem525(_u19621, _u19619))), _u19621)) )).
% 19.53/19.79 cnf(matrix-7942, plain, ( c_Relation_Oantisym(_u19619, _u19621) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19619, _u19619)), hAPP(hAPP(c_Product__Type_OPair(_u19619, _u19619), skolem525(_u19621, _u19619)), skolem524(_u19621, _u19619))), _u19621)) )).
% 19.53/19.79 cnf(matrix-7943, plain, ( c_Relation_Oantisym(_u19619, _u19621) | ( skolem524(_u19621, _u19619) != skolem525(_u19621, _u19619)) )).
% 19.53/19.79 cnf(matrix-7944, plain, ( ~c_Relation_Oantisym(_u19624, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19624, _u19624), tc_HOL_Obool)), _u19626), c_Relation_OId(_u19624))) | c_Relation_Oantisym(_u19624, _u19626) )).
% 19.53/19.79 cnf(matrix-7945, plain, ( ~c_Relation_Oantisym(_u19625, _u19627) | c_Relation_Oantisym(_u19625, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19625, _u19625), tc_HOL_Obool)), _u19627), c_Relation_OId(_u19625))) )).
% 19.53/19.79 cnf(matrix-7946, plain, ( ~c_Wellfounded_Oacyclic(_u19628, _u19629) | c_Relation_Oantisym(_u19628, c_Transitive__Closure_Ortrancl(_u19628, _u19629)) )).
% 19.53/19.79 cnf(matrix-7947, plain, ( ~c_Equiv__Relations_Oequivp(_u19630, _u19631) | c_Predicate_Oreflp(_u19630, _u19631) )).
% 19.53/19.79 cnf(matrix-7948, plain, ( ~c_Equiv__Relations_Oequivp(_u19630, _u19631) | c_Predicate_Osymp(_u19630, _u19631) )).
% 19.53/19.79 cnf(matrix-7949, plain, ( ~c_Equiv__Relations_Oequivp(_u19630, _u19631) | c_Predicate_Otransp(_u19630, _u19631) )).
% 19.53/19.79 cnf(matrix-7950, plain, ( ~c_Predicate_Oreflp(_u19632, _u19633) | ~c_Predicate_Osymp(_u19632, _u19633) | ~c_Predicate_Otransp(_u19632, _u19633) | c_Equiv__Relations_Oequivp(_u19632, _u19633) )).
% 19.53/19.79 cnf(matrix-7951, plain, ( ~hBOOL(hAPP(hAPP(_u19635, _u19636), _u19637)) | hBOOL(hAPP(hAPP(_u19635, _u19637), _u19636)) | ~c_Predicate_Osymp(_u19634, _u19635) )).
% 19.53/19.79 cnf(matrix-7952, plain, ( ~c_Equiv__Relations_Oequivp(_u19640, _u19642) | c_Predicate_Oreflp(_u19640, _u19642) )).
% 19.53/19.79 cnf(matrix-7953, plain, ( ~c_Equiv__Relations_Oequivp(_u19640, _u19642) | c_Predicate_Osymp(_u19640, _u19642) )).
% 19.53/19.79 cnf(matrix-7954, plain, ( ~c_Equiv__Relations_Oequivp(_u19640, _u19642) | c_Predicate_Otransp(_u19640, _u19642) )).
% 19.53/19.79 cnf(matrix-7955, plain, ( ~c_Predicate_Oreflp(_u19641, _u19643) | ~c_Predicate_Osymp(_u19641, _u19643) | ~c_Predicate_Otransp(_u19641, _u19643) | c_Equiv__Relations_Oequivp(_u19641, _u19643) )).
% 19.53/19.79 cnf(matrix-7956, plain, ( ~c_Relation_Osym(_u19644, _u19645) | ~c_Relation_Otrans(_u19644, _u19645) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u19644, _u19644), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u19644, _u19644, _u19644), hAPP(c_Relation_Oconverse(_u19644, _u19644), _u19645)), _u19645)), _u19645)) )).
% 19.53/19.79 cnf(matrix-7957, plain, ( ~hBOOL(hAPP(hAPP(_u19647, _u19646), _u19646)) | ~c_Predicate_Osymp(_u19648, _u19647) | ~c_Predicate_Otransp(_u19648, _u19647) | c_Equiv__Relations_Opart__equivp(_u19648, _u19647) )).
% 19.53/19.79 cnf(matrix-7958, plain, ( ~c_Relation_Osym(_u19655, _u19657) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19655, _u19655)), hAPP(hAPP(c_Product__Type_OPair(_u19655, _u19655), _u19650), _u19649)), _u19657)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19655, _u19655)), hAPP(hAPP(c_Product__Type_OPair(_u19655, _u19655), _u19649), _u19650)), _u19657)) )).
% 19.53/19.79 cnf(matrix-7959, plain, ( c_Relation_Osym(_u19656, _u19658) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19656, _u19656)), hAPP(hAPP(c_Product__Type_OPair(_u19656, _u19656), skolem526(_u19658, _u19656)), skolem527(_u19658, _u19656))), _u19658)) )).
% 19.53/19.79 cnf(matrix-7960, plain, ( c_Relation_Osym(_u19656, _u19658) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19656, _u19656)), hAPP(hAPP(c_Product__Type_OPair(_u19656, _u19656), skolem527(_u19658, _u19656)), skolem526(_u19658, _u19656))), _u19658)) )).
% 19.53/19.79 cnf(matrix-7961, plain, ( ~c_Relation_Osym(_u19659, _u19660) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19659, _u19659)), hAPP(hAPP(c_Product__Type_OPair(_u19659, _u19659), _u19661), _u19662)), _u19660)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19659, _u19659)), hAPP(hAPP(c_Product__Type_OPair(_u19659, _u19659), _u19662), _u19661)), _u19660)) )).
% 19.53/19.79 cnf(matrix-7962, plain, ( c_Relation_Osym(_u19663, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19663, _u19663), tc_HOL_Obool)), _u19664), hAPP(c_Relation_Oconverse(_u19663, _u19663), _u19664))) )).
% 19.53/19.79 cnf(matrix-7963, plain, ( ~c_Equiv__Relations_Oequivp(_u19665, _u19666) | c_Equiv__Relations_Opart__equivp(_u19665, _u19666) )).
% 19.53/19.79 cnf(matrix-7964, plain, ( ~c_Relation_Osym(_u19667, _u19668) | c_Relation_Osym(_u19667, c_Transitive__Closure_Ortrancl(_u19667, _u19668)) )).
% 19.53/19.79 cnf(matrix-7965, plain, ( c_Relation_Osym(_u19669, c_Relation_OId__on(_u19669, _u19670)) )).
% 19.53/19.79 cnf(matrix-7966, plain, ( ~hBOOL(hAPP(hAPP(_u19672, _u19673), _u19674)) | ~hBOOL(hAPP(hAPP(_u19672, _u19674), _u19675)) | hBOOL(hAPP(hAPP(_u19672, _u19673), _u19675)) | ~c_Equiv__Relations_Opart__equivp(_u19671, _u19672) )).
% 19.53/19.79 cnf(matrix-7967, plain, ( ~hBOOL(hAPP(hAPP(_u19677, _u19678), _u19679)) | hBOOL(hAPP(hAPP(_u19677, _u19679), _u19678)) | ~c_Equiv__Relations_Opart__equivp(_u19676, _u19677) )).
% 19.53/19.79 cnf(matrix-7968, plain, ( ~c_Equiv__Relations_Opart__equivp(_u19696, _u19698) | hBOOL(hAPP(hAPP(_u19698, skolem528(_u19698)), skolem528(_u19698))) )).
% 19.53/19.79 cnf(matrix-7969, plain, ( ~c_Equiv__Relations_Opart__equivp(_u19696, _u19698) | ~hBOOL(hAPP(hAPP(_u19698, _u19690), _u19688)) | hBOOL(hAPP(hAPP(_u19698, _u19690), _u19690)) )).
% 19.53/19.79 cnf(matrix-7970, plain, ( ~c_Equiv__Relations_Opart__equivp(_u19696, _u19698) | ~hBOOL(hAPP(hAPP(_u19698, _u19690), _u19688)) | hBOOL(hAPP(hAPP(_u19698, _u19688), _u19688)) )).
% 19.53/19.79 cnf(matrix-7971, plain, ( ~c_Equiv__Relations_Opart__equivp(_u19696, _u19698) | ~hBOOL(hAPP(hAPP(_u19698, _u19690), _u19688)) | ( hAPP(_u19698, _u19690) = hAPP(_u19698, _u19688)) )).
% 19.53/19.79 cnf(matrix-7972, plain, ( ~c_Equiv__Relations_Opart__equivp(_u19696, _u19698) | ~hBOOL(hAPP(hAPP(_u19698, _u19691), _u19691)) | ~hBOOL(hAPP(hAPP(_u19698, _u19689), _u19689)) | ( hAPP(_u19698, _u19691) != hAPP(_u19698, _u19689)) | hBOOL(hAPP(hAPP(_u19698, _u19691), _u19689)) )).
% 19.53/19.79 cnf(matrix-7973, plain, ( c_Equiv__Relations_Opart__equivp(_u19697, _u19699) | ~hBOOL(hAPP(hAPP(_u19699, _u19683), _u19683)) | hBOOL(hAPP(hAPP(_u19699, skolem529(_u19699)), skolem530(_u19699))) | hBOOL(hAPP(hAPP(_u19699, skolem531(_u19699)), skolem531(_u19699))) )).
% 19.53/19.79 cnf(matrix-7974, plain, ( c_Equiv__Relations_Opart__equivp(_u19697, _u19699) | ~hBOOL(hAPP(hAPP(_u19699, _u19683), _u19683)) | hBOOL(hAPP(hAPP(_u19699, skolem529(_u19699)), skolem530(_u19699))) | hBOOL(hAPP(hAPP(_u19699, skolem532(_u19699)), skolem532(_u19699))) )).
% 19.53/19.79 cnf(matrix-7975, plain, ( c_Equiv__Relations_Opart__equivp(_u19697, _u19699) | ~hBOOL(hAPP(hAPP(_u19699, _u19683), _u19683)) | hBOOL(hAPP(hAPP(_u19699, skolem529(_u19699)), skolem530(_u19699))) | ( hAPP(_u19699, skolem531(_u19699)) = hAPP(_u19699, skolem532(_u19699))) )).
% 19.53/19.79 cnf(matrix-7976, plain, ( c_Equiv__Relations_Opart__equivp(_u19697, _u19699) | ~hBOOL(hAPP(hAPP(_u19699, _u19683), _u19683)) | hBOOL(hAPP(hAPP(_u19699, skolem529(_u19699)), skolem530(_u19699))) | ~hBOOL(hAPP(hAPP(_u19699, skolem531(_u19699)), skolem532(_u19699))) )).
% 19.53/19.79 cnf(matrix-7977, plain, ( c_Equiv__Relations_Opart__equivp(_u19697, _u19699) | ~hBOOL(hAPP(hAPP(_u19699, _u19683), _u19683)) | ~hBOOL(hAPP(hAPP(_u19699, skolem529(_u19699)), skolem529(_u19699))) | ~hBOOL(hAPP(hAPP(_u19699, skolem530(_u19699)), skolem530(_u19699))) | ( hAPP(_u19699, skolem529(_u19699)) != hAPP(_u19699, skolem530(_u19699))) | hBOOL(hAPP(hAPP(_u19699, skolem531(_u19699)), skolem531(_u19699))) )).
% 19.53/19.79 cnf(matrix-7978, plain, ( c_Equiv__Relations_Opart__equivp(_u19697, _u19699) | ~hBOOL(hAPP(hAPP(_u19699, _u19683), _u19683)) | ~hBOOL(hAPP(hAPP(_u19699, skolem529(_u19699)), skolem529(_u19699))) | ~hBOOL(hAPP(hAPP(_u19699, skolem530(_u19699)), skolem530(_u19699))) | ( hAPP(_u19699, skolem529(_u19699)) != hAPP(_u19699, skolem530(_u19699))) | hBOOL(hAPP(hAPP(_u19699, skolem532(_u19699)), skolem532(_u19699))) )).
% 19.53/19.79 cnf(matrix-7979, plain, ( c_Equiv__Relations_Opart__equivp(_u19697, _u19699) | ~hBOOL(hAPP(hAPP(_u19699, _u19683), _u19683)) | ~hBOOL(hAPP(hAPP(_u19699, skolem529(_u19699)), skolem529(_u19699))) | ~hBOOL(hAPP(hAPP(_u19699, skolem530(_u19699)), skolem530(_u19699))) | ( hAPP(_u19699, skolem529(_u19699)) != hAPP(_u19699, skolem530(_u19699))) | ( hAPP(_u19699, skolem531(_u19699)) = hAPP(_u19699, skolem532(_u19699))) )).
% 19.53/19.79 cnf(matrix-7980, plain, ( c_Equiv__Relations_Opart__equivp(_u19697, _u19699) | ~hBOOL(hAPP(hAPP(_u19699, _u19683), _u19683)) | ~hBOOL(hAPP(hAPP(_u19699, skolem529(_u19699)), skolem529(_u19699))) | ~hBOOL(hAPP(hAPP(_u19699, skolem530(_u19699)), skolem530(_u19699))) | ( hAPP(_u19699, skolem529(_u19699)) != hAPP(_u19699, skolem530(_u19699))) | ~hBOOL(hAPP(hAPP(_u19699, skolem531(_u19699)), skolem532(_u19699))) )).
% 19.53/19.79 cnf(matrix-7981, plain, ( ~c_Relation_Osym(_u19700, _u19701) | c_Relation_Osym(_u19700, c_Transitive__Closure_Otrancl(_u19700, _u19701)) )).
% 19.53/19.79 cnf(matrix-7982, plain, ( ~c_Relation_Osym(_u19702, _u19703) | ~c_Relation_Osym(_u19702, _u19704) | c_Relation_Osym(_u19702, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u19702, _u19702), tc_HOL_Obool)), _u19703), _u19704)) )).
% 19.53/19.79 cnf(matrix-7983, plain, ( c_Relation_Osym(_u19705, c_Relation_OId(_u19705)) )).
% 19.53/19.79 cnf(matrix-7984, plain, ( ~c_Relation_Osym(_u19708, hAPP(c_Relation_Oconverse(_u19708, _u19708), _u19710)) | c_Relation_Osym(_u19708, _u19710) )).
% 19.53/19.79 cnf(matrix-7985, plain, ( ~c_Relation_Osym(_u19709, _u19711) | c_Relation_Osym(_u19709, hAPP(c_Relation_Oconverse(_u19709, _u19709), _u19711)) )).
% 19.53/19.79 cnf(matrix-7986, plain, ( ~c_Relation_Osym(_u19714, _u19716) | ( hAPP(c_Relation_Oconverse(_u19714, _u19714), _u19716) = _u19716) )).
% 19.53/19.79 cnf(matrix-7987, plain, ( ( hAPP(c_Relation_Oconverse(_u19715, _u19715), _u19717) != _u19717) | c_Relation_Osym(_u19715, _u19717) )).
% 19.53/19.79 cnf(matrix-7988, plain, ( ~c_Relation_Osym(_u19718, _u19719) | c_Relation_Osym(tc_List_Olist(_u19718), c_List_Olistrel(_u19718, _u19719)) )).
% 19.53/19.79 cnf(matrix-7989, plain, ( ~c_Relation_Osym(_u19720, _u19721) | ~c_Relation_Osym(_u19720, _u19722) | c_Relation_Osym(_u19720, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u19720, _u19720), tc_HOL_Obool)), _u19721), _u19722)) )).
% 19.53/19.79 cnf(matrix-7990, plain, ( ~c_Relation_Osym(_u19723, _u19724) | c_Relation_Osym(_u19725, hAPP(hAPP(c_Relation_Oinv__image(_u19723, _u19725), _u19724), _u19726)) )).
% 19.53/19.79 cnf(matrix-7991, plain, ( c_Relation_Osym(_u19727, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u19727, _u19727), tc_HOL_Obool)), _u19728), hAPP(c_Relation_Oconverse(_u19727, _u19727), _u19728))) )).
% 19.53/19.79 cnf(matrix-7992, plain, ( ~c_Equiv__Relations_Oequiv(_u19729, _u19730, _u19731) | c_Relation_Orefl__on(_u19729, _u19730, _u19731) )).
% 19.53/19.79 cnf(matrix-7993, plain, ( ~c_Equiv__Relations_Oequiv(_u19729, _u19730, _u19731) | c_Relation_Osym(_u19729, _u19731) )).
% 19.53/19.79 cnf(matrix-7994, plain, ( ~c_Equiv__Relations_Oequiv(_u19729, _u19730, _u19731) | c_Relation_Otrans(_u19729, _u19731) )).
% 19.53/19.79 cnf(matrix-7995, plain, ( ~c_Relation_Orefl__on(_u19732, _u19733, _u19734) | ~c_Relation_Osym(_u19732, _u19734) | ~c_Relation_Otrans(_u19732, _u19734) | c_Equiv__Relations_Oequiv(_u19732, _u19733, _u19734) )).
% 19.53/19.79 cnf(matrix-7996, plain, ( ~c_Equiv__Relations_Oequiv(_u19738, _u19740, _u19742) | c_Relation_Orefl__on(_u19738, _u19740, _u19742) )).
% 19.53/19.79 cnf(matrix-7997, plain, ( ~c_Equiv__Relations_Oequiv(_u19738, _u19740, _u19742) | c_Relation_Osym(_u19738, _u19742) )).
% 19.53/19.79 cnf(matrix-7998, plain, ( ~c_Equiv__Relations_Oequiv(_u19738, _u19740, _u19742) | c_Relation_Otrans(_u19738, _u19742) )).
% 19.53/19.79 cnf(matrix-7999, plain, ( ~c_Relation_Orefl__on(_u19739, _u19741, _u19743) | ~c_Relation_Osym(_u19739, _u19743) | ~c_Relation_Otrans(_u19739, _u19743) | c_Equiv__Relations_Oequiv(_u19739, _u19741, _u19743) )).
% 19.53/19.79 cnf(matrix-8000, plain, ( ~c_Predicate_Osymp(_u19746, _u19748) | c_Relation_Osym(_u19746, hAPP(c_Set_OCollect(tc_prod(_u19746, _u19746)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19746, _u19746, tc_HOL_Obool), _u19748))) )).
% 19.53/19.79 cnf(matrix-8001, plain, ( ~c_Relation_Osym(_u19747, hAPP(c_Set_OCollect(tc_prod(_u19747, _u19747)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19747, _u19747, tc_HOL_Obool), _u19749))) | c_Predicate_Osymp(_u19747, _u19749) )).
% 19.53/19.79 cnf(matrix-8002, plain, ( ~c_Equiv__Relations_Opart__equivp(_u19754, _u19756) | hBOOL(hAPP(hAPP(_u19756, skolem533(_u19756, _u19754)), skolem533(_u19756, _u19754))) )).
% 19.53/19.79 cnf(matrix-8003, plain, ( ~c_Equiv__Relations_Opart__equivp(_u19754, _u19756) | c_Predicate_Osymp(_u19754, _u19756) )).
% 19.53/19.79 cnf(matrix-8004, plain, ( ~c_Equiv__Relations_Opart__equivp(_u19754, _u19756) | c_Predicate_Otransp(_u19754, _u19756) )).
% 19.53/19.79 cnf(matrix-8005, plain, ( ~hBOOL(hAPP(hAPP(_u19757, _u19751), _u19751)) | ~c_Predicate_Osymp(_u19755, _u19757) | ~c_Predicate_Otransp(_u19755, _u19757) | c_Equiv__Relations_Opart__equivp(_u19755, _u19757) )).
% 19.53/19.79 cnf(matrix-8006, plain, ( ~c_Equiv__Relations_Opart__equivp(_u19759, _u19760) | hBOOL(hAPP(hAPP(_u19760, skolem534(_u19760, _u19759)), skolem534(_u19760, _u19759))) )).
% 19.53/19.79 cnf(matrix-8007, plain, ( ~c_Equiv__Relations_Opart__equivp(_u19759, _u19760) | c_Predicate_Osymp(_u19759, _u19760) )).
% 19.53/19.79 cnf(matrix-8008, plain, ( ~c_Equiv__Relations_Opart__equivp(_u19759, _u19760) | c_Predicate_Otransp(_u19759, _u19760) )).
% 19.53/19.79 cnf(matrix-8009, plain, ( ~c_Equiv__Relations_Opart__equivp(_u19762, _u19763) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u19762, tc_HOL_Obool)), skolem535(_u19763, _u19762)), hAPP(hAPP(c_COMBB(tc_fun(_u19762, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u19762, tc_HOL_Obool)), c_HOL_OEx(_u19762)), hAPP(hAPP(c_COMBB(tc_fun(_u19762, tc_HOL_Obool), tc_fun(_u19762, tc_HOL_Obool), tc_fun(_u19762, tc_HOL_Obool)), hAPP(c_COMBS(_u19762, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19762), c_fconj), hAPP(hAPP(c_COMBS(_u19762, _u19762, tc_HOL_Obool), _u19763), c_COMBI(_u19762))))), hAPP(hAPP(c_COMBC(tc_fun(_u19762, tc_HOL_Obool), tc_fun(_u19762, tc_fun(_u19762, tc_HOL_Obool)), tc_fun(_u19762, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19762, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u19762, tc_fun(_u19762, tc_HOL_Obool)), tc_fun(_u19762, tc_HOL_Obool)), tc_fun(_u19762, tc_HOL_Obool)), c_COMBB(tc_fun(_u19762, tc_HOL_Obool), tc_HOL_Obool, _u19762)), c_fequal)), _u19763))))) )).
% 19.53/19.79 cnf(matrix-8010, plain, ( ~c_Fun_Oinj__on(_u19764, _u19765, _u19766, c_Orderings_Otop__class_Otop(tc_fun(_u19764, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u19765, _u19764, _u19764, c_Hilbert__Choice_Oinv__into(_u19764, _u19765, c_Orderings_Otop__class_Otop(tc_fun(_u19764, tc_HOL_Obool)), _u19766)), _u19766) = c_Fun_Oid(_u19764)) )).
% 19.53/19.79 cnf(matrix-8011, plain, ( ~c_Fun_Oinj__on(_u19770, _u19772, _u19774, c_Orderings_Otop__class_Otop(tc_fun(_u19770, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u19772, _u19770, _u19770, c_Hilbert__Choice_Oinv__into(_u19770, _u19772, c_Orderings_Otop__class_Otop(tc_fun(_u19770, tc_HOL_Obool)), _u19774)), _u19774) = c_Fun_Oid(_u19770)) )).
% 19.53/19.79 cnf(matrix-8012, plain, ( ( hAPP(c_Fun_Ocomp(_u19773, _u19771, _u19771, c_Hilbert__Choice_Oinv__into(_u19771, _u19773, c_Orderings_Otop__class_Otop(tc_fun(_u19771, tc_HOL_Obool)), _u19775)), _u19775) != c_Fun_Oid(_u19771)) | c_Fun_Oinj__on(_u19771, _u19773, _u19775, c_Orderings_Otop__class_Otop(tc_fun(_u19771, tc_HOL_Obool))) )).
% 19.53/19.79 cnf(matrix-8013, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19776, tc_HOL_Obool)), _u19777), hAPP(c_Set_Oimage(_u19778, _u19776, _u19779), _u19780))) | c_Fun_Oinj__on(_u19776, _u19778, c_Hilbert__Choice_Oinv__into(_u19778, _u19776, _u19780, _u19779), _u19777) )).
% 19.53/19.79 cnf(matrix-8014, plain, ( ~c_Fun_Oinj__on(_u19781, _u19782, _u19783, _u19784) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19781, tc_HOL_Obool)), _u19785), _u19784)) | ( hAPP(c_Set_Oimage(_u19782, _u19781, c_Hilbert__Choice_Oinv__into(_u19781, _u19782, _u19784, _u19783)), hAPP(c_Set_Oimage(_u19781, _u19782, _u19783), _u19785)) = _u19785) )).
% 19.53/19.79 cnf(matrix-8015, plain, ( ( hAPP(c_Set_Oimage(_u19786, _u19787, _u19788), c_Orderings_Otop__class_Otop(tc_fun(_u19786, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u19787, tc_HOL_Obool))) | c_Fun_Oinj__on(_u19787, _u19786, c_Hilbert__Choice_Oinv__into(_u19786, _u19787, c_Orderings_Otop__class_Otop(tc_fun(_u19786, tc_HOL_Obool)), _u19788), c_Orderings_Otop__class_Otop(tc_fun(_u19787, tc_HOL_Obool))) )).
% 19.53/19.79 cnf(matrix-8016, plain, ( ~c_Fun_Oinj__on(_u19789, _u19790, _u19791, c_Orderings_Otop__class_Otop(tc_fun(_u19789, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u19790, _u19789, c_Hilbert__Choice_Oinv__into(_u19789, _u19790, c_Orderings_Otop__class_Otop(tc_fun(_u19789, tc_HOL_Obool)), _u19791)), hAPP(c_Set_Oimage(_u19789, _u19790, _u19791), _u19792)) = _u19792) )).
% 19.53/19.79 cnf(matrix-8017, plain, ( ~c_Fun_Oinj__on(_u19793, _u19794, _u19795, c_Orderings_Otop__class_Otop(tc_fun(_u19793, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u19794, _u19793, c_Hilbert__Choice_Oinv__into(_u19793, _u19794, c_Orderings_Otop__class_Otop(tc_fun(_u19793, tc_HOL_Obool)), _u19795)), hAPP(c_Set_Oimage(_u19793, _u19794, _u19795), _u19796)) = _u19796) )).
% 19.53/19.79 cnf(matrix-8018, plain, ( ~c_Fun_Oinj__on(_u19797, _u19798, _u19799, c_Orderings_Otop__class_Otop(tc_fun(_u19797, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u19798, _u19797, c_Hilbert__Choice_Oinv__into(_u19797, _u19798, c_Orderings_Otop__class_Otop(tc_fun(_u19797, tc_HOL_Obool)), _u19799)), c_Orderings_Otop__class_Otop(tc_fun(_u19798, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u19797, tc_HOL_Obool))) )).
% 19.53/19.79 cnf(matrix-8019, plain, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u19800, _u19801, c_Orderings_Otop__class_Otop(tc_fun(_u19800, tc_HOL_Obool)), _u19802), _u19803) = c_Hilbert__Choice_OEps(_u19800, hAPP(hAPP(c_COMBC(_u19800, _u19801, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u19801, tc_fun(_u19801, tc_HOL_Obool), _u19800), c_fequal), _u19802)), _u19803))) )).
% 19.53/19.79 cnf(matrix-8020, plain, ( ( hAPP(c_Set_Oimage(_u19804, _u19805, _u19806), _u19807) != _u19808) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u19805, tc_HOL_Obool)), _u19809), _u19808)) | ( hAPP(c_Set_Oimage(_u19804, _u19805, _u19806), hAPP(c_Set_Oimage(_u19805, _u19804, c_Hilbert__Choice_Oinv__into(_u19804, _u19805, _u19807, _u19806)), _u19809)) = _u19809) )).
% 19.53/19.79 cnf(matrix-8021, plain, ( ( hAPP(c_Set_Oimage(_u19810, _u19811, _u19812), c_Orderings_Otop__class_Otop(tc_fun(_u19810, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u19811, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u19810, _u19811, _u19812), hAPP(c_Set_Oimage(_u19811, _u19810, c_Hilbert__Choice_Oinv__into(_u19810, _u19811, c_Orderings_Otop__class_Otop(tc_fun(_u19810, tc_HOL_Obool)), _u19812)), _u19813)) = _u19813) )).
% 19.53/19.79 cnf(matrix-8022, plain, ( ( hAPP(c_Set_Oimage(_u19814, _u19815, _u19816), c_Orderings_Otop__class_Otop(tc_fun(_u19814, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u19815, tc_HOL_Obool))) | ( hAPP(_u19816, hAPP(c_Hilbert__Choice_Oinv__into(_u19814, _u19815, c_Orderings_Otop__class_Otop(tc_fun(_u19814, tc_HOL_Obool)), _u19816), _u19817)) = _u19817) )).
% 19.53/19.79 cnf(matrix-8023, plain, ( ( hAPP(c_Set_Oimage(_u19823, _u19825, _u19827), c_Orderings_Otop__class_Otop(tc_fun(_u19823, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u19825, tc_HOL_Obool))) | ( hAPP(_u19827, hAPP(c_Hilbert__Choice_Oinv__into(_u19823, _u19825, c_Orderings_Otop__class_Otop(tc_fun(_u19823, tc_HOL_Obool)), _u19827), _u19818)) = _u19818) )).
% 19.53/19.79 cnf(matrix-8024, plain, ( ( hAPP(_u19828, hAPP(c_Hilbert__Choice_Oinv__into(_u19824, _u19826, c_Orderings_Otop__class_Otop(tc_fun(_u19824, tc_HOL_Obool)), _u19828), skolem536(_u19828, _u19826, _u19824))) != skolem536(_u19828, _u19826, _u19824)) | ( hAPP(c_Set_Oimage(_u19824, _u19826, _u19828), c_Orderings_Otop__class_Otop(tc_fun(_u19824, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u19826, tc_HOL_Obool))) )).
% 19.53/19.79 cnf(matrix-8025, plain, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u19829, _u19830, _u19831, _u19832), _u19833) != hAPP(c_Hilbert__Choice_Oinv__into(_u19829, _u19830, _u19831, _u19832), _u19834)) | ~hBOOL(hAPP(hAPP(c_member(_u19830), _u19833), hAPP(c_Set_Oimage(_u19829, _u19830, _u19832), _u19831))) | ~hBOOL(hAPP(hAPP(c_member(_u19830), _u19834), hAPP(c_Set_Oimage(_u19829, _u19830, _u19832), _u19831))) | ( _u19833 = _u19834) )).
% 19.53/19.79 cnf(matrix-8026, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19835), _u19836), hAPP(c_Set_Oimage(_u19837, _u19835, _u19838), _u19839))) | hBOOL(hAPP(hAPP(c_member(_u19837), hAPP(c_Hilbert__Choice_Oinv__into(_u19837, _u19835, _u19839, _u19838), _u19836)), _u19839)) )).
% 19.53/19.79 cnf(matrix-8027, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19840), _u19841), hAPP(c_Set_Oimage(_u19842, _u19840, _u19843), _u19844))) | ( hAPP(_u19843, hAPP(c_Hilbert__Choice_Oinv__into(_u19842, _u19840, _u19844, _u19843), _u19841)) = _u19841) )).
% 19.53/19.79 cnf(matrix-8028, plain, ( ~c_Fun_Oinj__on(_u19845, _u19846, _u19847, _u19848) | ~hBOOL(hAPP(hAPP(c_member(_u19845), _u19849), _u19848)) | ( hAPP(_u19847, _u19849) != _u19850) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u19845, _u19846, _u19848, _u19847), _u19850) = _u19849) )).
% 19.53/19.79 cnf(matrix-8029, plain, ( ~c_Fun_Oinj__on(_u19851, _u19852, _u19853, _u19854) | ~hBOOL(hAPP(hAPP(c_member(_u19851), _u19855), _u19854)) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u19851, _u19852, _u19854, _u19853), hAPP(_u19853, _u19855)) = _u19855) )).
% 19.53/19.79 cnf(matrix-8030, plain, ( ~c_Fun_Oinj__on(_u19856, _u19857, _u19858, c_Orderings_Otop__class_Otop(tc_fun(_u19856, tc_HOL_Obool))) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u19856, _u19857, c_Orderings_Otop__class_Otop(tc_fun(_u19856, tc_HOL_Obool)), _u19858), hAPP(_u19858, _u19859)) = _u19859) )).
% 19.53/19.79 cnf(matrix-8031, plain, ( ~c_Fun_Oinj__on(_u19860, _u19861, _u19862, c_Orderings_Otop__class_Otop(tc_fun(_u19860, tc_HOL_Obool))) | ( hAPP(_u19862, _u19863) != _u19864) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u19860, _u19861, c_Orderings_Otop__class_Otop(tc_fun(_u19860, tc_HOL_Obool)), _u19862), _u19864) = _u19863) )).
% 19.53/19.79 cnf(matrix-8032, plain, ( ( c_Hilbert__Choice_Oinv__into(_u19865, _u19865, c_Orderings_Otop__class_Otop(tc_fun(_u19865, tc_HOL_Obool)), c_Fun_Oid(_u19865)) = c_Fun_Oid(_u19865)) )).
% 19.53/19.79 cnf(matrix-8033, plain, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u19866, _u19867, _u19868, _u19869), _u19870) = c_Hilbert__Choice_OEps(_u19866, hAPP(hAPP(c_COMBS(_u19866, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19866), c_fconj), hAPP(hAPP(c_COMBC(_u19866, tc_fun(_u19866, tc_HOL_Obool), tc_HOL_Obool), c_member(_u19866)), _u19868))), hAPP(hAPP(c_COMBC(_u19866, _u19867, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u19867, tc_fun(_u19867, tc_HOL_Obool), _u19866), c_fequal), _u19869)), _u19870)))) )).
% 19.53/19.79 cnf(matrix-8034, plain, ( ~c_Fun_Oinj__on(_u19871, _u19872, _u19873, c_Orderings_Otop__class_Otop(tc_fun(_u19871, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u19872, _u19874, _u19871, hAPP(c_Fun_Ocomp(_u19871, _u19874, _u19872, _u19875), c_Hilbert__Choice_Oinv__into(_u19871, _u19872, c_Orderings_Otop__class_Otop(tc_fun(_u19871, tc_HOL_Obool)), _u19873))), _u19873) = _u19875) )).
% 19.53/19.79 cnf(matrix-8035, plain, ( ~c_Fun_Oinj__on(_u19876, _u19877, _u19878, hAPP(c_Set_Oimage(_u19879, _u19876, _u19880), _u19881)) | ~c_Fun_Oinj__on(_u19879, _u19876, _u19880, _u19881) | ~hBOOL(hAPP(hAPP(c_member(_u19877), _u19882), hAPP(c_Set_Oimage(_u19876, _u19877, _u19878), hAPP(c_Set_Oimage(_u19879, _u19876, _u19880), _u19881)))) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u19879, _u19877, _u19881, hAPP(c_Fun_Ocomp(_u19876, _u19877, _u19879, _u19878), _u19880)), _u19882) = hAPP(hAPP(c_Fun_Ocomp(_u19876, _u19879, _u19877, c_Hilbert__Choice_Oinv__into(_u19879, _u19876, _u19881, _u19880)), c_Hilbert__Choice_Oinv__into(_u19876, _u19877, hAPP(c_Set_Oimage(_u19879, _u19876, _u19880), _u19881), _u19878)), _u19882)) )).
% 19.53/19.79 cnf(matrix-8036, plain, ( ( hAPP(c_Set_Oimage(_u19886, _u19888, _u19890), c_Orderings_Otop__class_Otop(tc_fun(_u19886, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u19888, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u19886, _u19888, _u19888, _u19890), c_Hilbert__Choice_Oinv__into(_u19886, _u19888, c_Orderings_Otop__class_Otop(tc_fun(_u19886, tc_HOL_Obool)), _u19890)) = c_Fun_Oid(_u19888)) )).
% 19.53/19.79 cnf(matrix-8037, plain, ( ( hAPP(c_Fun_Ocomp(_u19887, _u19889, _u19889, _u19891), c_Hilbert__Choice_Oinv__into(_u19887, _u19889, c_Orderings_Otop__class_Otop(tc_fun(_u19887, tc_HOL_Obool)), _u19891)) != c_Fun_Oid(_u19889)) | ( hAPP(c_Set_Oimage(_u19887, _u19889, _u19891), c_Orderings_Otop__class_Otop(tc_fun(_u19887, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u19889, tc_HOL_Obool))) )).
% 19.53/19.79 cnf(matrix-8038, plain, ( ~c_Fun_Oinj__on(_u19893, _u19894, _u19895, c_Orderings_Otop__class_Otop(tc_fun(_u19893, tc_HOL_Obool))) | hBOOL(hAPP(_u19896, _u19897)) | hBOOL(hAPP(hAPP(c_member(_u19894), skolem537(_u19897, _u19896, _u19895, _u19894, _u19893)), hAPP(c_Set_Oimage(_u19893, _u19894, _u19895), c_Orderings_Otop__class_Otop(tc_fun(_u19893, tc_HOL_Obool))))) )).
% 19.53/19.79 cnf(matrix-8039, plain, ( ~c_Fun_Oinj__on(_u19893, _u19894, _u19895, c_Orderings_Otop__class_Otop(tc_fun(_u19893, tc_HOL_Obool))) | hBOOL(hAPP(_u19896, _u19897)) | ~hBOOL(hAPP(_u19896, hAPP(c_Hilbert__Choice_Oinv__into(_u19893, _u19894, c_Orderings_Otop__class_Otop(tc_fun(_u19893, tc_HOL_Obool)), _u19895), skolem537(_u19897, _u19896, _u19895, _u19894, _u19893)))) )).
% 19.53/19.79 cnf(matrix-8040, plain, ( ~class_Groups_Ocomm__monoid__mult(_u19901) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19902), _u19903)) | hBOOL(hAPP(hAPP(c_member(_u19902), skolem538(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901)), _u19903)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19904, c_Groups_Otimes__class_Otimes(_u19901)), _u19906), c_Groups_Oone__class_Oone(_u19901)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19902, tc_fun(_u19904, tc_HOL_Obool)), _u19903), _u19905)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19902, c_Groups_Otimes__class_Otimes(_u19901)), hAPP(hAPP(c_COMBB(tc_fun(_u19904, tc_HOL_Obool), _u19901, _u19902), hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19904, c_Groups_Otimes__class_Otimes(_u19901)), _u19906), c_Groups_Oone__class_Oone(_u19901))), _u19905)), c_Groups_Oone__class_Oone(_u19901)), _u19903)) | hBOOL(hAPP(hAPP(c_member(_u19902), skolem539(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901)), _u19903)) )).
% 19.53/19.79 cnf(matrix-8041, plain, ( ~class_Groups_Ocomm__monoid__mult(_u19901) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19902), _u19903)) | hBOOL(hAPP(hAPP(c_member(_u19902), skolem538(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901)), _u19903)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19904, c_Groups_Otimes__class_Otimes(_u19901)), _u19906), c_Groups_Oone__class_Oone(_u19901)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19902, tc_fun(_u19904, tc_HOL_Obool)), _u19903), _u19905)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19902, c_Groups_Otimes__class_Otimes(_u19901)), hAPP(hAPP(c_COMBB(tc_fun(_u19904, tc_HOL_Obool), _u19901, _u19902), hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19904, c_Groups_Otimes__class_Otimes(_u19901)), _u19906), c_Groups_Oone__class_Oone(_u19901))), _u19905)), c_Groups_Oone__class_Oone(_u19901)), _u19903)) | hBOOL(hAPP(hAPP(c_member(_u19902), skolem540(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901)), _u19903)) )).
% 19.53/19.79 cnf(matrix-8042, plain, ( ~class_Groups_Ocomm__monoid__mult(_u19901) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19902), _u19903)) | hBOOL(hAPP(hAPP(c_member(_u19902), skolem538(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901)), _u19903)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19904, c_Groups_Otimes__class_Otimes(_u19901)), _u19906), c_Groups_Oone__class_Oone(_u19901)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19902, tc_fun(_u19904, tc_HOL_Obool)), _u19903), _u19905)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19902, c_Groups_Otimes__class_Otimes(_u19901)), hAPP(hAPP(c_COMBB(tc_fun(_u19904, tc_HOL_Obool), _u19901, _u19902), hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19904, c_Groups_Otimes__class_Otimes(_u19901)), _u19906), c_Groups_Oone__class_Oone(_u19901))), _u19905)), c_Groups_Oone__class_Oone(_u19901)), _u19903)) | ( skolem539(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901) != skolem540(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901)) )).
% 19.53/19.79 cnf(matrix-8043, plain, ( ~class_Groups_Ocomm__monoid__mult(_u19901) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19902), _u19903)) | hBOOL(hAPP(hAPP(c_member(_u19902), skolem538(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901)), _u19903)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19904, c_Groups_Otimes__class_Otimes(_u19901)), _u19906), c_Groups_Oone__class_Oone(_u19901)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19902, tc_fun(_u19904, tc_HOL_Obool)), _u19903), _u19905)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19902, c_Groups_Otimes__class_Otimes(_u19901)), hAPP(hAPP(c_COMBB(tc_fun(_u19904, tc_HOL_Obool), _u19901, _u19902), hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19904, c_Groups_Otimes__class_Otimes(_u19901)), _u19906), c_Groups_Oone__class_Oone(_u19901))), _u19905)), c_Groups_Oone__class_Oone(_u19901)), _u19903)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19904, tc_HOL_Obool)), hAPP(_u19905, skolem539(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901))), hAPP(_u19905, skolem540(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901))) != c_Orderings_Obot__class_Obot(tc_fun(_u19904, tc_HOL_Obool))) )).
% 19.53/19.79 cnf(matrix-8044, plain, ( ~class_Groups_Ocomm__monoid__mult(_u19901) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19902), _u19903)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19904), hAPP(_u19905, skolem538(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19904, c_Groups_Otimes__class_Otimes(_u19901)), _u19906), c_Groups_Oone__class_Oone(_u19901)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19902, tc_fun(_u19904, tc_HOL_Obool)), _u19903), _u19905)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19902, c_Groups_Otimes__class_Otimes(_u19901)), hAPP(hAPP(c_COMBB(tc_fun(_u19904, tc_HOL_Obool), _u19901, _u19902), hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19904, c_Groups_Otimes__class_Otimes(_u19901)), _u19906), c_Groups_Oone__class_Oone(_u19901))), _u19905)), c_Groups_Oone__class_Oone(_u19901)), _u19903)) | hBOOL(hAPP(hAPP(c_member(_u19902), skolem539(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901)), _u19903)) )).
% 19.53/19.79 cnf(matrix-8045, plain, ( ~class_Groups_Ocomm__monoid__mult(_u19901) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19902), _u19903)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19904), hAPP(_u19905, skolem538(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19904, c_Groups_Otimes__class_Otimes(_u19901)), _u19906), c_Groups_Oone__class_Oone(_u19901)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19902, tc_fun(_u19904, tc_HOL_Obool)), _u19903), _u19905)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19902, c_Groups_Otimes__class_Otimes(_u19901)), hAPP(hAPP(c_COMBB(tc_fun(_u19904, tc_HOL_Obool), _u19901, _u19902), hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19904, c_Groups_Otimes__class_Otimes(_u19901)), _u19906), c_Groups_Oone__class_Oone(_u19901))), _u19905)), c_Groups_Oone__class_Oone(_u19901)), _u19903)) | hBOOL(hAPP(hAPP(c_member(_u19902), skolem540(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901)), _u19903)) )).
% 19.53/19.79 cnf(matrix-8046, plain, ( ~class_Groups_Ocomm__monoid__mult(_u19901) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19902), _u19903)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19904), hAPP(_u19905, skolem538(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19904, c_Groups_Otimes__class_Otimes(_u19901)), _u19906), c_Groups_Oone__class_Oone(_u19901)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19902, tc_fun(_u19904, tc_HOL_Obool)), _u19903), _u19905)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19902, c_Groups_Otimes__class_Otimes(_u19901)), hAPP(hAPP(c_COMBB(tc_fun(_u19904, tc_HOL_Obool), _u19901, _u19902), hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19904, c_Groups_Otimes__class_Otimes(_u19901)), _u19906), c_Groups_Oone__class_Oone(_u19901))), _u19905)), c_Groups_Oone__class_Oone(_u19901)), _u19903)) | ( skolem539(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901) != skolem540(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901)) )).
% 19.53/19.79 cnf(matrix-8047, plain, ( ~class_Groups_Ocomm__monoid__mult(_u19901) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19902), _u19903)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19904), hAPP(_u19905, skolem538(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19904, c_Groups_Otimes__class_Otimes(_u19901)), _u19906), c_Groups_Oone__class_Oone(_u19901)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u19902, tc_fun(_u19904, tc_HOL_Obool)), _u19903), _u19905)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19902, c_Groups_Otimes__class_Otimes(_u19901)), hAPP(hAPP(c_COMBB(tc_fun(_u19904, tc_HOL_Obool), _u19901, _u19902), hAPP(hAPP(c_Finite__Set_Ofold__image(_u19901, _u19904, c_Groups_Otimes__class_Otimes(_u19901)), _u19906), c_Groups_Oone__class_Oone(_u19901))), _u19905)), c_Groups_Oone__class_Oone(_u19901)), _u19903)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19904, tc_HOL_Obool)), hAPP(_u19905, skolem539(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901))), hAPP(_u19905, skolem540(_u19906, _u19905, _u19904, _u19903, _u19902, _u19901))) != c_Orderings_Obot__class_Obot(tc_fun(_u19904, tc_HOL_Obool))) )).
% 19.53/19.79 cnf(matrix-8048, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u19908), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u19908 = hAPP(c_Code__Numeral_Onat__of, skolem541(_u19908))) )).
% 19.53/19.79 cnf(matrix-8049, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u19910), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u19911, hAPP(c_Code__Numeral_Onat__of, skolem542(_u19911, _u19910)))) | hBOOL(hAPP(_u19911, _u19910)) )).
% 19.53/19.79 cnf(matrix-8050, plain, ( ( _u19913 = hAPP(c_Code__Numeral_Oof__nat, skolem543(_u19913))) )).
% 19.53/19.79 cnf(matrix-8051, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem543(_u19913)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 19.53/19.79 cnf(matrix-8052, plain, ( hBOOL(hAPP(_u19915, _u19916)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem544(_u19916, _u19915)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 19.53/19.79 cnf(matrix-8053, plain, ( hBOOL(hAPP(_u19915, _u19916)) | ~hBOOL(hAPP(_u19915, hAPP(c_Code__Numeral_Oof__nat, skolem544(_u19916, _u19915)))) )).
% 19.53/19.79 cnf(matrix-8054, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u19917, _u19918, _u19919, _u19920, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u19918)) = _u19919) )).
% 19.53/19.79 cnf(matrix-8055, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u19923), _u19925)) | ( c_Quickcheck_Obeyond(_u19923, _u19925) = _u19925) )).
% 19.53/19.79 cnf(matrix-8056, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u19924), _u19926)) | ( c_Quickcheck_Obeyond(_u19924, _u19926) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 19.53/19.79 cnf(matrix-8057, plain, ( ( c_Quickcheck_Obeyond(_u19927, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 19.53/19.79 cnf(matrix-8058, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u19928, _u19929, _u19930, _u19931, c_Lazy__Sequence_Olazy__sequence_OInsert(_u19929, _u19932, _u19933)) = hAPP(hAPP(hAPP(_u19931, _u19932), _u19933), c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u19928, _u19929, _u19930, _u19931, _u19933))) )).
% 19.53/19.79 cnf(matrix-8059, plain, ( ~c_Fun_Obij__betw(_u19934, _u19935, _u19936, c_Orderings_Otop__class_Otop(tc_fun(_u19934, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u19935, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u19934, _u19935, _u19936), hAPP(c_Set_OCollect(_u19934), _u19937)) = hAPP(c_Set_OCollect(_u19935), hAPP(hAPP(c_COMBB(_u19934, tc_HOL_Obool, _u19935), _u19937), c_Hilbert__Choice_Oinv__into(_u19934, _u19935, c_Orderings_Otop__class_Otop(tc_fun(_u19934, tc_HOL_Obool)), _u19936)))) )).
% 19.53/19.79 cnf(matrix-8060, plain, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u19938, _u19939, _u19940, _u19941), _u19942), _u19943) = hAPP(_u19941, hAPP(hAPP(c_Product__Type_OPair(_u19938, _u19939), _u19942), _u19943))) )).
% 19.53/19.79 cnf(matrix-8061, plain, ( ~hBOOL(hAPP(_u19944, hAPP(hAPP(c_Product__Type_OPair(_u19945, _u19946), _u19947), _u19948))) | hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u19945, _u19946, tc_HOL_Obool, _u19944), _u19947), _u19948)) )).
% 19.53/19.79 cnf(matrix-8062, plain, ( c_Fun_Obij__betw(_u19949, _u19949, c_Fun_Oid(_u19949), _u19950, _u19950) )).
% 19.53/19.79 cnf(matrix-8063, plain, ( ~c_Fun_Obij__betw(_u19951, _u19952, _u19953, c_Orderings_Otop__class_Otop(tc_fun(_u19951, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u19952, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u19951, _u19952, _u19953), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19954, tc_fun(_u19951, tc_HOL_Obool)), _u19955), _u19956)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u19954, tc_fun(_u19952, tc_HOL_Obool)), _u19955), hAPP(hAPP(c_COMBB(tc_fun(_u19951, tc_HOL_Obool), tc_fun(_u19952, tc_HOL_Obool), _u19954), c_Set_Oimage(_u19951, _u19952, _u19953)), _u19956))) )).
% 19.53/19.79 cnf(matrix-8064, plain, ( ~c_Fun_Obij__betw(_u19957, _u19958, _u19959, c_Orderings_Otop__class_Otop(tc_fun(_u19957, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u19958, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u19960, _u19957, _u19961, c_Orderings_Otop__class_Otop(tc_fun(_u19960, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u19957, tc_HOL_Obool))) | ( c_Hilbert__Choice_Oinv__into(_u19960, _u19958, c_Orderings_Otop__class_Otop(tc_fun(_u19960, tc_HOL_Obool)), hAPP(c_Fun_Ocomp(_u19957, _u19958, _u19960, _u19959), _u19961)) = hAPP(c_Fun_Ocomp(_u19957, _u19960, _u19958, c_Hilbert__Choice_Oinv__into(_u19960, _u19957, c_Orderings_Otop__class_Otop(tc_fun(_u19960, tc_HOL_Obool)), _u19961)), c_Hilbert__Choice_Oinv__into(_u19957, _u19958, c_Orderings_Otop__class_Otop(tc_fun(_u19957, tc_HOL_Obool)), _u19959))) )).
% 19.53/19.79 cnf(matrix-8065, plain, ( ~c_Fun_Obij__betw(_u19962, _u19963, _u19964, c_Orderings_Otop__class_Otop(tc_fun(_u19962, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u19963, tc_HOL_Obool))) | ( c_Hilbert__Choice_Oinv__into(_u19963, _u19962, c_Orderings_Otop__class_Otop(tc_fun(_u19963, tc_HOL_Obool)), c_Hilbert__Choice_Oinv__into(_u19962, _u19963, c_Orderings_Otop__class_Otop(tc_fun(_u19962, tc_HOL_Obool)), _u19964)) = _u19964) )).
% 19.53/19.79 cnf(matrix-8066, plain, ( ~c_Fun_Obij__betw(_u19965, _u19966, _u19967, c_Orderings_Otop__class_Otop(tc_fun(_u19965, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u19966, tc_HOL_Obool))) | c_Fun_Obij__betw(_u19966, _u19965, c_Hilbert__Choice_Oinv__into(_u19965, _u19966, c_Orderings_Otop__class_Otop(tc_fun(_u19965, tc_HOL_Obool)), _u19967), c_Orderings_Otop__class_Otop(tc_fun(_u19966, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u19965, tc_HOL_Obool))) )).
% 19.53/19.79 cnf(matrix-8067, plain, ( ~c_Fun_Obij__betw(_u19968, _u19969, _u19970, _u19971, _u19972) | ~hBOOL(hAPP(hAPP(c_member(_u19968), _u19973), _u19971)) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u19969, _u19968, _u19972, c_Hilbert__Choice_Oinv__into(_u19968, _u19969, _u19971, _u19970)), _u19973) = hAPP(_u19970, _u19973)) )).
% 19.53/19.79 cnf(matrix-8068, plain, ( ~c_Fun_Obij__betw(_u19974, _u19975, _u19976, _u19977, _u19978) | c_Fun_Obij__betw(_u19975, _u19974, c_Hilbert__Choice_Oinv__into(_u19974, _u19975, _u19977, _u19976), _u19978, _u19977) )).
% 19.53/19.79 cnf(matrix-8069, plain, ( ( c_Product__Type_Ocurry(_u19979, _u19980, _u19981, hAPP(c_Product__Type_Oprod_Oprod__case(_u19979, _u19980, _u19981), _u19982)) = _u19982) )).
% 19.53/19.79 cnf(matrix-8070, plain, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u19983, _u19984, _u19985), c_Product__Type_Ocurry(_u19983, _u19984, _u19985, _u19986)) = _u19986) )).
% 19.53/19.79 cnf(matrix-8071, plain, ( ~c_Fun_Obij__betw(_u19987, _u19988, _u19989, c_Orderings_Otop__class_Otop(tc_fun(_u19987, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u19988, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u19987, _u19988, _u19989), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u19987, tc_HOL_Obool)), _u19990)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u19988, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u19987, _u19988, _u19989), _u19990))) )).
% 19.53/19.79 cnf(matrix-8072, plain, ( ~c_Fun_Obij__betw(_u19991, _u19992, _u19993, _u19994, _u19995) | ~c_Fun_Obij__betw(_u19991, _u19992, _u19993, _u19996, _u19997) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19992, tc_HOL_Obool)), _u19995), _u19997) != c_Orderings_Obot__class_Obot(tc_fun(_u19992, tc_HOL_Obool))) | c_Fun_Obij__betw(_u19991, _u19992, _u19993, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19991, tc_HOL_Obool)), _u19994), _u19996), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19992, tc_HOL_Obool)), _u19995), _u19997)) )).
% 19.53/19.79 cnf(matrix-8073, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19998, tc_HOL_Obool)), _u19999), _u20000) != c_Orderings_Obot__class_Obot(tc_fun(_u19998, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20001, tc_HOL_Obool)), _u20002), _u20003) != c_Orderings_Obot__class_Obot(tc_fun(_u20001, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u19998, _u20001, _u20004, _u19999, _u20002) | ~c_Fun_Obij__betw(_u19998, _u20001, _u20004, _u20000, _u20003) | c_Fun_Obij__betw(_u19998, _u20001, _u20004, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19998, tc_HOL_Obool)), _u19999), _u20000), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20001, tc_HOL_Obool)), _u20002), _u20003)) )).
% 19.53/19.79 cnf(matrix-8074, plain, ( c_Fun_Obij__betw(_u20005, _u20005, c_Fun_Oid(_u20005), c_Orderings_Otop__class_Otop(tc_fun(_u20005, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20005, tc_HOL_Obool))) )).
% 19.53/19.79 cnf(matrix-8075, plain, ( ( _u20011 = _u20013) | ~c_Fun_Obij__betw(_u20009, _u20009, c_Fun_Oid(_u20009), _u20011, _u20013) )).
% 19.53/19.79 cnf(matrix-8076, plain, ( ( _u20012 != _u20014) | c_Fun_Obij__betw(_u20010, _u20010, c_Fun_Oid(_u20010), _u20012, _u20014) )).
% 19.53/19.79 cnf(matrix-8077, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20017), _u20018)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20019), _u20020)) | ~c_Fun_Obij__betw(_u20017, _u20019, _u20015, _u20018, _u20020) | ( hAPP(c_Finite__Set_Ocard(_u20017), _u20018) = hAPP(c_Finite__Set_Ocard(_u20019), _u20020)) )).
% 19.53/19.79 cnf(matrix-8078, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20017), _u20018)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20019), _u20020)) | ( hAPP(c_Finite__Set_Ocard(_u20017), _u20018) != hAPP(c_Finite__Set_Ocard(_u20019), _u20020)) | c_Fun_Obij__betw(_u20017, _u20019, skolem545(_u20020, _u20019, _u20018, _u20017), _u20018, _u20020) )).
% 19.53/19.79 cnf(matrix-8079, plain, ( ~c_Fun_Obij__betw(_u20021, _u20022, _u20023, _u20024, _u20025) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20021), _u20024)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20022), _u20025)) )).
% 19.53/19.79 cnf(matrix-8080, plain, ( ~c_Fun_Obij__betw(_u20021, _u20022, _u20023, _u20024, _u20025) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20022), _u20025)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20021), _u20024)) )).
% 19.53/19.79 cnf(matrix-8081, plain, ( ( _u20029 = c_Orderings_Obot__class_Obot(tc_fun(_u20027, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20026, _u20027, _u20028, c_Orderings_Obot__class_Obot(tc_fun(_u20026, tc_HOL_Obool)), _u20029) )).
% 19.53/19.79 cnf(matrix-8082, plain, ( ~c_Fun_Obij__betw(_u20030, _u20031, _u20032, _u20033, c_Orderings_Obot__class_Obot(tc_fun(_u20031, tc_HOL_Obool))) | ( _u20033 = c_Orderings_Obot__class_Obot(tc_fun(_u20030, tc_HOL_Obool))) )).
% 19.53/19.79 cnf(matrix-8083, plain, ( ~c_Fun_Obij__betw(_u20034, _u20035, _u20036, _u20037, _u20038) | ( hAPP(c_Finite__Set_Ocard(_u20034), _u20037) = hAPP(c_Finite__Set_Ocard(_u20035), _u20038)) )).
% 19.53/19.79 cnf(matrix-8084, plain, ( ~c_Fun_Obij__betw(_u20039, _u20040, _u20041, _u20042, _u20043) | c_Fun_Obij__betw(_u20040, _u20039, c_Fun_Othe__inv__into(_u20039, _u20040, _u20042, _u20041), _u20043, _u20042) )).
% 19.53/19.79 cnf(matrix-8085, plain, ( ~c_Fun_Obij__betw(_u20044, _u20045, _u20046, c_Orderings_Otop__class_Otop(tc_fun(_u20044, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20045, tc_HOL_Obool))) | c_Fun_Oinj__on(_u20044, _u20045, _u20046, c_Orderings_Otop__class_Otop(tc_fun(_u20044, tc_HOL_Obool))) )).
% 19.53/19.79 cnf(matrix-8086, plain, ( ~c_Fun_Obij__betw(_u20047, _u20048, _u20049, _u20050, _u20051) | c_Fun_Oinj__on(_u20047, _u20048, _u20049, _u20050) )).
% 19.53/19.79 cnf(matrix-8087, plain, ( ~c_Fun_Obij__betw(_u20057, _u20059, _u20061, _u20063, _u20065) | c_Fun_Oinj__on(_u20057, _u20059, _u20061, _u20063) )).
% 19.53/19.79 cnf(matrix-8088, plain, ( ~c_Fun_Obij__betw(_u20057, _u20059, _u20061, _u20063, _u20065) | ( hAPP(c_Set_Oimage(_u20057, _u20059, _u20061), _u20063) = _u20065) )).
% 19.53/19.79 cnf(matrix-8089, plain, ( ~c_Fun_Oinj__on(_u20058, _u20060, _u20062, _u20064) | ( hAPP(c_Set_Oimage(_u20058, _u20060, _u20062), _u20064) != _u20066) | c_Fun_Obij__betw(_u20058, _u20060, _u20062, _u20064, _u20066) )).
% 19.53/19.79 cnf(matrix-8090, plain, ( ~c_Fun_Oinj__on(_u20067, _u20068, _u20069, _u20070) | c_Fun_Obij__betw(_u20067, _u20068, _u20069, _u20070, hAPP(c_Set_Oimage(_u20067, _u20068, _u20069), _u20070)) )).
% 19.53/19.79 cnf(matrix-8091, plain, ( ~c_Fun_Obij__betw(_u20071, _u20072, _u20073, _u20074, c_Orderings_Otop__class_Otop(tc_fun(_u20072, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20071, _u20072, _u20073), c_Orderings_Otop__class_Otop(tc_fun(_u20071, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20072, tc_HOL_Obool))) )).
% 19.53/19.79 cnf(matrix-8092, plain, ( ~c_Fun_Obij__betw(_u20075, _u20076, _u20077, c_Orderings_Otop__class_Otop(tc_fun(_u20075, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20076, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20075, _u20076, _u20077), c_Orderings_Otop__class_Otop(tc_fun(_u20075, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20076, tc_HOL_Obool))) )).
% 19.53/19.79 cnf(matrix-8093, plain, ( ~c_Fun_Obij__betw(_u20078, _u20079, _u20080, _u20081, _u20082) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20078, tc_HOL_Obool)), _u20083), _u20081)) | ( hAPP(c_Set_Oimage(_u20078, _u20079, _u20080), _u20083) != _u20084) | c_Fun_Obij__betw(_u20078, _u20079, _u20080, _u20083, _u20084) )).
% 19.53/19.79 cnf(matrix-8094, plain, ( ~c_Fun_Obij__betw(_u20088, _u20090, _u20092, c_Orderings_Otop__class_Otop(tc_fun(_u20088, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20090, tc_HOL_Obool))) | c_Fun_Oinj__on(_u20088, _u20090, _u20092, c_Orderings_Otop__class_Otop(tc_fun(_u20088, tc_HOL_Obool))) )).
% 19.53/19.79 cnf(matrix-8095, plain, ( ~c_Fun_Obij__betw(_u20088, _u20090, _u20092, c_Orderings_Otop__class_Otop(tc_fun(_u20088, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20090, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20088, _u20090, _u20092), c_Orderings_Otop__class_Otop(tc_fun(_u20088, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20090, tc_HOL_Obool))) )).
% 19.53/19.79 cnf(matrix-8096, plain, ( ~c_Fun_Oinj__on(_u20089, _u20091, _u20093, c_Orderings_Otop__class_Otop(tc_fun(_u20089, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20089, _u20091, _u20093), c_Orderings_Otop__class_Otop(tc_fun(_u20089, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20091, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20089, _u20091, _u20093, c_Orderings_Otop__class_Otop(tc_fun(_u20089, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20091, tc_HOL_Obool))) )).
% 19.53/19.79 cnf(matrix-8097, plain, ( ~c_Fun_Oinj__on(_u20094, _u20095, _u20096, c_Orderings_Otop__class_Otop(tc_fun(_u20094, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20094, _u20095, _u20096), c_Orderings_Otop__class_Otop(tc_fun(_u20094, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20095, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20094, _u20095, _u20096, c_Orderings_Otop__class_Otop(tc_fun(_u20094, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20095, tc_HOL_Obool))) )).
% 19.53/19.79 cnf(matrix-8098, plain, ( ~c_Fun_Obij__betw(_u20097, _u20098, _u20099, c_Orderings_Otop__class_Otop(tc_fun(_u20097, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20098, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20097), hAPP(c_Set_Ovimage(_u20097, _u20098, _u20099), _u20100))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20098), _u20100)) )).
% 19.53/19.79 cnf(matrix-8099, plain, ( ~c_Fun_Obij__betw(_u20097, _u20098, _u20099, c_Orderings_Otop__class_Otop(tc_fun(_u20097, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20098, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20098), _u20100)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20097), hAPP(c_Set_Ovimage(_u20097, _u20098, _u20099), _u20100))) )).
% 19.53/19.79 cnf(matrix-8100, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u20101, _u20102, tc_HOL_Obool, _u20103), _u20104), _u20105)) | hBOOL(hAPP(_u20103, hAPP(hAPP(c_Product__Type_OPair(_u20101, _u20102), _u20104), _u20105))) )).
% 19.53/19.79 cnf(matrix-8101, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u20106, _u20107, tc_HOL_Obool, _u20108), _u20109), _u20110)) | hBOOL(hAPP(_u20108, hAPP(hAPP(c_Product__Type_OPair(_u20106, _u20107), _u20109), _u20110))) )).
% 19.53/19.79 cnf(matrix-8102, plain, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u20111, _u20112, _u20113, _u20114), _u20115), _u20116) = hAPP(_u20114, hAPP(hAPP(c_Product__Type_OPair(_u20111, _u20112), _u20115), _u20116))) )).
% 19.53/19.79 cnf(matrix-8103, plain, ( ~c_Fun_Obij__betw(_u20117, _u20118, _u20119, _u20120, _u20121) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20117, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20122, _u20117, _u20123), _u20124)), _u20120)) | ~c_Fun_Obij__betw(_u20122, _u20117, _u20123, _u20124, _u20120) | c_Fun_Obij__betw(_u20122, _u20118, hAPP(c_Fun_Ocomp(_u20117, _u20118, _u20122, _u20119), _u20123), _u20124, _u20121) )).
% 19.53/19.79 cnf(matrix-8104, plain, ( ~c_Fun_Obij__betw(_u20117, _u20118, _u20119, _u20120, _u20121) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20117, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20122, _u20117, _u20123), _u20124)), _u20120)) | ~c_Fun_Obij__betw(_u20122, _u20118, hAPP(c_Fun_Ocomp(_u20117, _u20118, _u20122, _u20119), _u20123), _u20124, _u20121) | c_Fun_Obij__betw(_u20122, _u20117, _u20123, _u20124, _u20120) )).
% 19.53/19.79 cnf(matrix-8105, plain, ( ~c_Fun_Obij__betw(_u20125, _u20126, _u20127, c_Orderings_Otop__class_Otop(tc_fun(_u20125, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20126, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20126, _u20128, _u20129, c_Orderings_Otop__class_Otop(tc_fun(_u20126, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20128, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20125, _u20128, hAPP(c_Fun_Ocomp(_u20126, _u20128, _u20125, _u20129), _u20127), c_Orderings_Otop__class_Otop(tc_fun(_u20125, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20128, tc_HOL_Obool))) )).
% 19.53/19.79 cnf(matrix-8106, plain, ( ~c_Fun_Obij__betw(_u20130, _u20131, _u20132, _u20133, _u20134) | ~c_Fun_Obij__betw(_u20131, _u20135, _u20136, _u20134, _u20137) | c_Fun_Obij__betw(_u20130, _u20135, hAPP(c_Fun_Ocomp(_u20131, _u20135, _u20130, _u20136), _u20132), _u20133, _u20137) )).
% 19.53/19.79 cnf(matrix-8107, plain, ( ~c_Fun_Obij__betw(_u20138, _u20139, _u20140, _u20141, _u20142) | ~c_Fun_Obij__betw(_u20139, _u20143, _u20144, _u20142, _u20145) | c_Fun_Obij__betw(_u20138, _u20143, hAPP(c_Fun_Ocomp(_u20139, _u20143, _u20138, _u20144), _u20140), _u20141, _u20145) )).
% 19.53/19.79 cnf(matrix-8108, plain, ( ~c_Fun_Obij__betw(_u20138, _u20139, _u20140, _u20141, _u20142) | ~c_Fun_Obij__betw(_u20138, _u20143, hAPP(c_Fun_Ocomp(_u20139, _u20143, _u20138, _u20144), _u20140), _u20141, _u20145) | c_Fun_Obij__betw(_u20139, _u20143, _u20144, _u20142, _u20145) )).
% 19.53/19.79 cnf(matrix-8109, plain, ( ~c_Fun_Obij__betw(_u20146, _u20147, _u20148, c_Orderings_Otop__class_Otop(tc_fun(_u20146, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20147, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20146, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u20146, _u20147, _u20148), _u20149)), _u20150)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20147, tc_HOL_Obool)), _u20149), hAPP(c_Set_Oimage(_u20146, _u20147, _u20148), _u20150))) )).
% 19.53/19.79 cnf(matrix-8110, plain, ( ~c_Fun_Obij__betw(_u20146, _u20147, _u20148, c_Orderings_Otop__class_Otop(tc_fun(_u20146, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20147, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20147, tc_HOL_Obool)), _u20149), hAPP(c_Set_Oimage(_u20146, _u20147, _u20148), _u20150))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20146, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u20146, _u20147, _u20148), _u20149)), _u20150)) )).
% 19.53/19.79 cnf(matrix-8111, plain, ( ~c_Fun_Obij__betw(_u20151, _u20152, _u20153, c_Orderings_Otop__class_Otop(tc_fun(_u20151, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20152, tc_HOL_Obool))) | ( hAPP(c_Set_Ovimage(_u20151, _u20152, _u20153), _u20154) = hAPP(c_Set_Oimage(_u20152, _u20151, c_Hilbert__Choice_Oinv__into(_u20151, _u20152, c_Orderings_Otop__class_Otop(tc_fun(_u20151, tc_HOL_Obool)), _u20153)), _u20154)) )).
% 19.53/19.79 cnf(matrix-8112, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20156), _u20157)) | c_Fun_Obij__betw(tc_Nat_Onat, _u20156, skolem546(_u20157, _u20156), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u20156), _u20157)), _u20157) )).
% 19.53/19.79 cnf(matrix-8113, plain, ( ~c_Fun_Oinj__on(_u20159, _u20160, _u20161, _u20162) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20160, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20159, _u20160, _u20161), _u20162)), _u20163)) | ~c_Fun_Oinj__on(_u20160, _u20159, _u20164, _u20163) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20159, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20160, _u20159, _u20164), _u20163)), _u20162)) | c_Fun_Obij__betw(_u20159, _u20160, skolem547(_u20164, _u20163, _u20162, _u20161, _u20160, _u20159), _u20162, _u20163) )).
% 19.53/19.79 cnf(matrix-8114, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20166), _u20167)) | c_Fun_Obij__betw(tc_Nat_Onat, _u20166, skolem548(_u20167, _u20166), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u20166), _u20167)), _u20167) )).
% 19.53/19.79 cnf(matrix-8115, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20169), _u20170)) | c_Fun_Obij__betw(_u20169, tc_Nat_Onat, skolem549(_u20170, _u20169), _u20170, hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u20169), _u20170))) )).
% 19.53/19.79 cnf(matrix-8116, plain, ( c_Relation_Orefl__on(_u20174, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20172, tc_fun(_u20174, tc_HOL_Obool)), _u20173), _u20175), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20172, tc_fun(tc_prod(_u20174, _u20174), tc_HOL_Obool)), _u20173), _u20176)) | hBOOL(hAPP(hAPP(c_member(_u20172), skolem550(_u20176, _u20175, _u20174, _u20173, _u20172)), _u20173)) )).
% 19.53/19.79 cnf(matrix-8117, plain, ( c_Relation_Orefl__on(_u20174, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20172, tc_fun(_u20174, tc_HOL_Obool)), _u20173), _u20175), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20172, tc_fun(tc_prod(_u20174, _u20174), tc_HOL_Obool)), _u20173), _u20176)) | ~c_Relation_Orefl__on(_u20174, hAPP(_u20175, skolem550(_u20176, _u20175, _u20174, _u20173, _u20172)), hAPP(_u20176, skolem550(_u20176, _u20175, _u20174, _u20173, _u20172))) )).
% 19.53/19.79 cnf(matrix-8118, plain, ( ~c_Equiv__Relations_Oequivp(_u20181, _u20182) | ~hBOOL(hAPP(hAPP(c_member(_u20181), _u20177), c_Quotient_ORespects(_u20181, _u20182))) | ~hBOOL(hAPP(_u20183, _u20177)) | hBOOL(hAPP(_u20183, skolem551(_u20183, _u20182, _u20181))) )).
% 19.53/19.79 cnf(matrix-8119, plain, ( ~c_Equiv__Relations_Oequivp(_u20181, _u20182) | ~hBOOL(hAPP(_u20183, _u20179)) | hBOOL(hAPP(hAPP(c_member(_u20181), skolem552(_u20183, _u20182, _u20181)), c_Quotient_ORespects(_u20181, _u20182))) )).
% 19.53/19.79 cnf(matrix-8120, plain, ( ~c_Equiv__Relations_Oequivp(_u20181, _u20182) | ~hBOOL(hAPP(_u20183, _u20179)) | hBOOL(hAPP(_u20183, skolem552(_u20183, _u20182, _u20181))) )).
% 19.53/19.79 cnf(matrix-8121, plain, ( hBOOL(hAPP(hAPP(_u20189, _u20191), _u20191)) | ~hBOOL(hAPP(c_Quotient_ORespects(_u20187, _u20189), _u20191)) )).
% 19.53/19.79 cnf(matrix-8122, plain, ( ~hBOOL(hAPP(hAPP(_u20190, _u20192), _u20192)) | hBOOL(hAPP(c_Quotient_ORespects(_u20188, _u20190), _u20192)) )).
% 19.53/19.79 cnf(matrix-8123, plain, ( hBOOL(hAPP(hAPP(_u20200, _u20198), _u20198)) | ~hBOOL(hAPP(hAPP(c_member(_u20196), _u20198), c_Quotient_ORespects(_u20196, _u20200))) )).
% 19.53/19.79 cnf(matrix-8124, plain, ( ~hBOOL(hAPP(hAPP(_u20201, _u20199), _u20199)) | hBOOL(hAPP(hAPP(c_member(_u20197), _u20199), c_Quotient_ORespects(_u20197, _u20201))) )).
% 19.53/19.79 cnf(matrix-8125, plain, ( ~c_Equiv__Relations_Oequivp(_u20205, _u20206) | hBOOL(hAPP(_u20207, skolem553(_u20208, _u20207, _u20206, _u20205))) | ~hBOOL(hAPP(_u20207, _u20203)) | hBOOL(hAPP(hAPP(c_member(_u20205), skolem554(_u20208, _u20207, _u20206, _u20205)), c_Quotient_ORespects(_u20205, _u20206))) )).
% 19.53/19.79 cnf(matrix-8126, plain, ( ~c_Equiv__Relations_Oequivp(_u20205, _u20206) | hBOOL(hAPP(_u20207, skolem553(_u20208, _u20207, _u20206, _u20205))) | ~hBOOL(hAPP(_u20207, _u20203)) | hBOOL(hAPP(_u20208, skolem554(_u20208, _u20207, _u20206, _u20205))) )).
% 19.53/19.79 cnf(matrix-8127, plain, ( ~c_Equiv__Relations_Oequivp(_u20205, _u20206) | ~hBOOL(hAPP(_u20208, skolem553(_u20208, _u20207, _u20206, _u20205))) | ~hBOOL(hAPP(_u20207, _u20203)) | hBOOL(hAPP(hAPP(c_member(_u20205), skolem554(_u20208, _u20207, _u20206, _u20205)), c_Quotient_ORespects(_u20205, _u20206))) )).
% 19.53/19.79 cnf(matrix-8128, plain, ( ~c_Equiv__Relations_Oequivp(_u20205, _u20206) | ~hBOOL(hAPP(_u20208, skolem553(_u20208, _u20207, _u20206, _u20205))) | ~hBOOL(hAPP(_u20207, _u20203)) | hBOOL(hAPP(_u20208, skolem554(_u20208, _u20207, _u20206, _u20205))) )).
% 19.53/19.79 cnf(matrix-8129, plain, ( ~c_Equiv__Relations_Oequivp(_u20209, _u20210) | ( c_Quotient_OBabs(_u20209, _u20211, c_Quotient_ORespects(_u20209, _u20210), _u20212) = _u20212) )).
% 19.53/19.79 cnf(matrix-8130, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20213), _u20214), _u20215)) | ( hAPP(c_Quotient_OBabs(_u20213, _u20216, _u20215, _u20217), _u20214) = hAPP(_u20217, _u20214)) )).
% 19.53/19.79 cnf(matrix-8131, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20221, _u20221)), hAPP(hAPP(c_Product__Type_OPair(_u20221, _u20221), hAPP(_u20222, hAPP(c_Nat_OSuc, skolem555(_u20223, _u20222, _u20221)))), hAPP(_u20222, skolem555(_u20223, _u20222, _u20221)))), c_Transitive__Closure_Ortrancl(_u20221, _u20223))) | ~c_Wellfounded_Owf(_u20221, c_Transitive__Closure_Otrancl(_u20221, _u20223)) | ( hAPP(_u20222, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem556(_u20223, _u20222, _u20221)), _u20219)) = hAPP(_u20222, skolem556(_u20223, _u20222, _u20221))) )).
% 19.53/19.79 cnf(matrix-8132, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20227, tc_HOL_Obool)), _u20228), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20225, tc_fun(_u20227, tc_HOL_Obool)), _u20226), _u20229))) | hBOOL(hAPP(hAPP(c_member(_u20225), skolem557(_u20229, _u20228, _u20227, _u20226, _u20225)), _u20226)) )).
% 19.53/19.79 cnf(matrix-8133, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20227, tc_HOL_Obool)), _u20228), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20225, tc_fun(_u20227, tc_HOL_Obool)), _u20226), _u20229))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20227, tc_HOL_Obool)), _u20228), hAPP(_u20229, skolem557(_u20229, _u20228, _u20227, _u20226, _u20225)))) )).
% 19.53/19.79 cnf(matrix-8134, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20231, tc_HOL_Obool)), _u20232), _u20233)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20234, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20231, tc_fun(_u20234, tc_HOL_Obool)), _u20233), _u20235)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20231, tc_fun(_u20234, tc_HOL_Obool)), _u20233), _u20236))) | hBOOL(hAPP(hAPP(c_member(_u20231), skolem558(_u20236, _u20235, _u20234, _u20233, _u20232, _u20231)), _u20233)) )).
% 19.53/19.79 cnf(matrix-8135, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20231, tc_HOL_Obool)), _u20232), _u20233)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20234, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20231, tc_fun(_u20234, tc_HOL_Obool)), _u20233), _u20235)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20231, tc_fun(_u20234, tc_HOL_Obool)), _u20233), _u20236))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20234, tc_HOL_Obool)), hAPP(_u20235, skolem558(_u20236, _u20235, _u20234, _u20233, _u20232, _u20231))), hAPP(_u20236, skolem558(_u20236, _u20235, _u20234, _u20233, _u20232, _u20231)))) )).
% 19.53/19.79 cnf(matrix-8136, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20241, _u20242), tc_prod(_u20241, _u20242))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20241, _u20242), tc_prod(_u20241, _u20242)), hAPP(hAPP(c_Product__Type_OPair(_u20241, _u20242), _u20243), _u20244)), hAPP(hAPP(c_Product__Type_OPair(_u20241, _u20242), _u20245), _u20246))), c_Transitive__Closure_Ortrancl(tc_prod(_u20241, _u20242), _u20247))) | ~hBOOL(hAPP(hAPP(_u20248, _u20243), _u20244)) | hBOOL(hAPP(hAPP(_u20248, _u20245), _u20246)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20241, _u20242), tc_prod(_u20241, _u20242))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20241, _u20242), tc_prod(_u20241, _u20242)), hAPP(hAPP(c_Product__Type_OPair(_u20241, _u20242), _u20243), _u20244)), hAPP(hAPP(c_Product__Type_OPair(_u20241, _u20242), skolem559(_u20248, _u20247, _u20246, _u20245, _u20244, _u20243, _u20242, _u20241)), skolem560(_u20248, _u20247, _u20246, _u20245, _u20244, _u20243, _u20242, _u20241)))), c_Transitive__Closure_Ortrancl(tc_prod(_u20241, _u20242), _u20247))) )).
% 19.53/19.79 cnf(matrix-8137, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20241, _u20242), tc_prod(_u20241, _u20242))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20241, _u20242), tc_prod(_u20241, _u20242)), hAPP(hAPP(c_Product__Type_OPair(_u20241, _u20242), _u20243), _u20244)), hAPP(hAPP(c_Product__Type_OPair(_u20241, _u20242), _u20245), _u20246))), c_Transitive__Closure_Ortrancl(tc_prod(_u20241, _u20242), _u20247))) | ~hBOOL(hAPP(hAPP(_u20248, _u20243), _u20244)) | hBOOL(hAPP(hAPP(_u20248, _u20245), _u20246)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20241, _u20242), tc_prod(_u20241, _u20242))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20241, _u20242), tc_prod(_u20241, _u20242)), hAPP(hAPP(c_Product__Type_OPair(_u20241, _u20242), skolem559(_u20248, _u20247, _u20246, _u20245, _u20244, _u20243, _u20242, _u20241)), skolem560(_u20248, _u20247, _u20246, _u20245, _u20244, _u20243, _u20242, _u20241))), hAPP(hAPP(c_Product__Type_OPair(_u20241, _u20242), skolem561(_u20248, _u20247, _u20246, _u20245, _u20244, _u20243, _u20242, _u20241)), skolem562(_u20248, _u20247, _u20246, _u20245, _u20244, _u20243, _u20242, _u20241)))), _u20247)) )).
% 19.53/19.79 cnf(matrix-8138, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20241, _u20242), tc_prod(_u20241, _u20242))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20241, _u20242), tc_prod(_u20241, _u20242)), hAPP(hAPP(c_Product__Type_OPair(_u20241, _u20242), _u20243), _u20244)), hAPP(hAPP(c_Product__Type_OPair(_u20241, _u20242), _u20245), _u20246))), c_Transitive__Closure_Ortrancl(tc_prod(_u20241, _u20242), _u20247))) | ~hBOOL(hAPP(hAPP(_u20248, _u20243), _u20244)) | hBOOL(hAPP(hAPP(_u20248, _u20245), _u20246)) | hBOOL(hAPP(hAPP(_u20248, skolem559(_u20248, _u20247, _u20246, _u20245, _u20244, _u20243, _u20242, _u20241)), skolem560(_u20248, _u20247, _u20246, _u20245, _u20244, _u20243, _u20242, _u20241))) )).
% 19.53/19.79 cnf(matrix-8139, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20241, _u20242), tc_prod(_u20241, _u20242))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20241, _u20242), tc_prod(_u20241, _u20242)), hAPP(hAPP(c_Product__Type_OPair(_u20241, _u20242), _u20243), _u20244)), hAPP(hAPP(c_Product__Type_OPair(_u20241, _u20242), _u20245), _u20246))), c_Transitive__Closure_Ortrancl(tc_prod(_u20241, _u20242), _u20247))) | ~hBOOL(hAPP(hAPP(_u20248, _u20243), _u20244)) | hBOOL(hAPP(hAPP(_u20248, _u20245), _u20246)) | ~hBOOL(hAPP(hAPP(_u20248, skolem561(_u20248, _u20247, _u20246, _u20245, _u20244, _u20243, _u20242, _u20241)), skolem562(_u20248, _u20247, _u20246, _u20245, _u20244, _u20243, _u20242, _u20241))) )).
% 19.53/19.79 cnf(matrix-8140, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20251, _u20252), tc_prod(_u20251, _u20252))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20251, _u20252), tc_prod(_u20251, _u20252)), hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20252), _u20253), _u20254)), hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20252), _u20255), _u20256))), c_Transitive__Closure_Ortrancl(tc_prod(_u20251, _u20252), _u20257))) | ( hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20252), _u20253), _u20254) = hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20252), _u20255), _u20256)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20251, _u20252), tc_prod(_u20251, _u20252))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20251, _u20252), tc_prod(_u20251, _u20252)), hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20252), _u20253), _u20254)), hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20252), skolem563(_u20257, _u20256, _u20255, _u20254, _u20253, _u20252, _u20251)), skolem564(_u20257, _u20256, _u20255, _u20254, _u20253, _u20252, _u20251)))), _u20257)) )).
% 19.53/19.79 cnf(matrix-8141, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20251, _u20252), tc_prod(_u20251, _u20252))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20251, _u20252), tc_prod(_u20251, _u20252)), hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20252), _u20253), _u20254)), hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20252), _u20255), _u20256))), c_Transitive__Closure_Ortrancl(tc_prod(_u20251, _u20252), _u20257))) | ( hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20252), _u20253), _u20254) = hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20252), _u20255), _u20256)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20251, _u20252), tc_prod(_u20251, _u20252))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20251, _u20252), tc_prod(_u20251, _u20252)), hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20252), skolem563(_u20257, _u20256, _u20255, _u20254, _u20253, _u20252, _u20251)), skolem564(_u20257, _u20256, _u20255, _u20254, _u20253, _u20252, _u20251))), hAPP(hAPP(c_Product__Type_OPair(_u20251, _u20252), _u20255), _u20256))), c_Transitive__Closure_Ortrancl(tc_prod(_u20251, _u20252), _u20257))) )).
% 19.53/19.79 cnf(matrix-8142, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20262, _u20263), tc_prod(_u20262, _u20263))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20262, _u20263), tc_prod(_u20262, _u20263)), hAPP(hAPP(c_Product__Type_OPair(_u20262, _u20263), _u20264), _u20265)), hAPP(hAPP(c_Product__Type_OPair(_u20262, _u20263), _u20266), _u20267))), c_Transitive__Closure_Ortrancl(tc_prod(_u20262, _u20263), _u20268))) | ~hBOOL(hAPP(hAPP(_u20269, _u20266), _u20267)) | hBOOL(hAPP(hAPP(_u20269, _u20264), _u20265)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20262, _u20263), tc_prod(_u20262, _u20263))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20262, _u20263), tc_prod(_u20262, _u20263)), hAPP(hAPP(c_Product__Type_OPair(_u20262, _u20263), skolem565(_u20269, _u20268, _u20267, _u20266, _u20265, _u20264, _u20263, _u20262)), skolem566(_u20269, _u20268, _u20267, _u20266, _u20265, _u20264, _u20263, _u20262))), hAPP(hAPP(c_Product__Type_OPair(_u20262, _u20263), skolem567(_u20269, _u20268, _u20267, _u20266, _u20265, _u20264, _u20263, _u20262)), skolem568(_u20269, _u20268, _u20267, _u20266, _u20265, _u20264, _u20263, _u20262)))), _u20268)) )).
% 19.53/19.79 cnf(matrix-8143, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20262, _u20263), tc_prod(_u20262, _u20263))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20262, _u20263), tc_prod(_u20262, _u20263)), hAPP(hAPP(c_Product__Type_OPair(_u20262, _u20263), _u20264), _u20265)), hAPP(hAPP(c_Product__Type_OPair(_u20262, _u20263), _u20266), _u20267))), c_Transitive__Closure_Ortrancl(tc_prod(_u20262, _u20263), _u20268))) | ~hBOOL(hAPP(hAPP(_u20269, _u20266), _u20267)) | hBOOL(hAPP(hAPP(_u20269, _u20264), _u20265)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20262, _u20263), tc_prod(_u20262, _u20263))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20262, _u20263), tc_prod(_u20262, _u20263)), hAPP(hAPP(c_Product__Type_OPair(_u20262, _u20263), skolem567(_u20269, _u20268, _u20267, _u20266, _u20265, _u20264, _u20263, _u20262)), skolem568(_u20269, _u20268, _u20267, _u20266, _u20265, _u20264, _u20263, _u20262))), hAPP(hAPP(c_Product__Type_OPair(_u20262, _u20263), _u20266), _u20267))), c_Transitive__Closure_Ortrancl(tc_prod(_u20262, _u20263), _u20268))) )).
% 19.53/19.79 cnf(matrix-8144, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20262, _u20263), tc_prod(_u20262, _u20263))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20262, _u20263), tc_prod(_u20262, _u20263)), hAPP(hAPP(c_Product__Type_OPair(_u20262, _u20263), _u20264), _u20265)), hAPP(hAPP(c_Product__Type_OPair(_u20262, _u20263), _u20266), _u20267))), c_Transitive__Closure_Ortrancl(tc_prod(_u20262, _u20263), _u20268))) | ~hBOOL(hAPP(hAPP(_u20269, _u20266), _u20267)) | hBOOL(hAPP(hAPP(_u20269, _u20264), _u20265)) | hBOOL(hAPP(hAPP(_u20269, skolem567(_u20269, _u20268, _u20267, _u20266, _u20265, _u20264, _u20263, _u20262)), skolem568(_u20269, _u20268, _u20267, _u20266, _u20265, _u20264, _u20263, _u20262))) )).
% 19.53/19.79 cnf(matrix-8145, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u20262, _u20263), tc_prod(_u20262, _u20263))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u20262, _u20263), tc_prod(_u20262, _u20263)), hAPP(hAPP(c_Product__Type_OPair(_u20262, _u20263), _u20264), _u20265)), hAPP(hAPP(c_Product__Type_OPair(_u20262, _u20263), _u20266), _u20267))), c_Transitive__Closure_Ortrancl(tc_prod(_u20262, _u20263), _u20268))) | ~hBOOL(hAPP(hAPP(_u20269, _u20266), _u20267)) | hBOOL(hAPP(hAPP(_u20269, _u20264), _u20265)) | ~hBOOL(hAPP(hAPP(_u20269, skolem565(_u20269, _u20268, _u20267, _u20266, _u20265, _u20264, _u20263, _u20262)), skolem566(_u20269, _u20268, _u20267, _u20266, _u20265, _u20264, _u20263, _u20262))) )).
% 19.53/19.79 cnf(matrix-8146, plain, ( c_Equiv__Relations_Ocongruent(_u20272, _u20275, _u20273, _u20274) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20272, _u20272)), hAPP(hAPP(c_Product__Type_OPair(_u20272, _u20272), skolem569(_u20275, _u20274, _u20273, _u20272)), skolem570(_u20275, _u20274, _u20273, _u20272))), _u20273)) )).
% 19.53/19.79 cnf(matrix-8147, plain, ( c_Equiv__Relations_Ocongruent(_u20272, _u20275, _u20273, _u20274) | ( hAPP(_u20274, skolem569(_u20275, _u20274, _u20273, _u20272)) != hAPP(_u20274, skolem570(_u20275, _u20274, _u20273, _u20272))) )).
% 19.53/19.79 cnf(matrix-8148, plain, ( c_Equiv__Relations_Ocongruent2(_u20280, _u20282, _u20285, _u20281, _u20283, _u20284) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20280, _u20280)), hAPP(hAPP(c_Product__Type_OPair(_u20280, _u20280), skolem571(_u20285, _u20284, _u20283, _u20282, _u20281, _u20280)), skolem572(_u20285, _u20284, _u20283, _u20282, _u20281, _u20280))), _u20281)) )).
% 19.53/19.79 cnf(matrix-8149, plain, ( c_Equiv__Relations_Ocongruent2(_u20280, _u20282, _u20285, _u20281, _u20283, _u20284) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20282, _u20282)), hAPP(hAPP(c_Product__Type_OPair(_u20282, _u20282), skolem573(_u20285, _u20284, _u20283, _u20282, _u20281, _u20280)), skolem574(_u20285, _u20284, _u20283, _u20282, _u20281, _u20280))), _u20283)) )).
% 19.53/19.79 cnf(matrix-8150, plain, ( c_Equiv__Relations_Ocongruent2(_u20280, _u20282, _u20285, _u20281, _u20283, _u20284) | ( hAPP(hAPP(_u20284, skolem571(_u20285, _u20284, _u20283, _u20282, _u20281, _u20280)), skolem573(_u20285, _u20284, _u20283, _u20282, _u20281, _u20280)) != hAPP(hAPP(_u20284, skolem572(_u20285, _u20284, _u20283, _u20282, _u20281, _u20280)), skolem574(_u20285, _u20284, _u20283, _u20282, _u20281, _u20280))) )).
% 19.53/19.79 cnf(matrix-8151, plain, ( ( c_Lazy__Sequence_Oflat(_u20286, c_Lazy__Sequence_Olazy__sequence_OInsert(tc_Lazy__Sequence_Olazy__sequence(_u20286), _u20287, _u20288)) = c_Lazy__Sequence_Oappend(_u20286, _u20287, c_Lazy__Sequence_Oflat(_u20286, _u20288))) )).
% 19.53/19.79 cnf(matrix-8152, plain, ( ~c_List_Olist__all(tc_Nat_Onat, _u20292, c_List_Oupt(_u20294, _u20296)) | c_List_Oall__interval__nat(_u20292, _u20294, _u20296) )).
% 19.53/19.79 cnf(matrix-8153, plain, ( ~c_List_Oall__interval__nat(_u20293, _u20295, _u20297) | c_List_Olist__all(tc_Nat_Onat, _u20293, c_List_Oupt(_u20295, _u20297)) )).
% 19.53/19.79 cnf(matrix-8154, plain, ( ( c_Lazy__Sequence_Oflat(_u20298, c_Lazy__Sequence_Olazy__sequence_OEmpty(tc_Lazy__Sequence_Olazy__sequence(_u20298))) = c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20298)) )).
% 19.53/19.79 cnf(matrix-8155, plain, ( ~c_List_Oall__interval__nat(_u20304, _u20306, _u20308) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20299), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u20306), _u20308))) | hBOOL(hAPP(_u20304, _u20299)) )).
% 19.53/19.79 cnf(matrix-8156, plain, ( c_List_Oall__interval__nat(_u20305, _u20307, _u20309) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem575(_u20309, _u20307, _u20305)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u20307), _u20309))) )).
% 19.53/19.79 cnf(matrix-8157, plain, ( c_List_Oall__interval__nat(_u20305, _u20307, _u20309) | ~hBOOL(hAPP(_u20305, skolem575(_u20309, _u20307, _u20305))) )).
% 19.53/19.79 cnf(matrix-8158, plain, ( ~c_List_Olist__ex(tc_Nat_Onat, _u20313, c_List_Oupt(_u20315, _u20317)) | ~c_List_Oall__interval__nat(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat, c_fNot), _u20313), _u20315, _u20317) )).
% 19.53/19.79 cnf(matrix-8159, plain, ( c_List_Oall__interval__nat(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat, c_fNot), _u20314), _u20316, _u20318) | c_List_Olist__ex(tc_Nat_Onat, _u20314, c_List_Oupt(_u20316, _u20318)) )).
% 19.53/19.79 cnf(matrix-8160, plain, ( ( hAPP(c_Lazy__Sequence_Obind(_u20319, _u20320, _u20321), _u20322) = c_Lazy__Sequence_Oflat(_u20320, c_Lazy__Sequence_Omap(_u20319, tc_Lazy__Sequence_Olazy__sequence(_u20320), _u20322, _u20321))) )).
% 19.53/19.79 cnf(matrix-8161, plain, ( ~c_Finite__Set_Ofolding__image(_u20324, _u20325, _u20326, _u20327, _u20328) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20325), _u20329)) | ( hAPP(hAPP(_u20328, _u20330), _u20329) = hAPP(hAPP(_u20328, _u20331), _u20329)) | hBOOL(hAPP(hAPP(c_member(_u20325), skolem576(_u20331, _u20330, _u20329, _u20328, _u20327, _u20326, _u20325)), _u20329)) )).
% 19.53/19.79 cnf(matrix-8162, plain, ( ~c_Finite__Set_Ofolding__image(_u20324, _u20325, _u20326, _u20327, _u20328) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20325), _u20329)) | ( hAPP(hAPP(_u20328, _u20330), _u20329) = hAPP(hAPP(_u20328, _u20331), _u20329)) | ( hAPP(_u20330, skolem576(_u20331, _u20330, _u20329, _u20328, _u20327, _u20326, _u20325)) != hAPP(_u20331, skolem576(_u20331, _u20330, _u20329, _u20328, _u20327, _u20326, _u20325))) )).
% 19.53/19.79 cnf(matrix-8163, plain, ( ( c_Lazy__Sequence_Omap(_u20332, _u20333, _u20334, c_Lazy__Sequence_Olazy__sequence_OInsert(_u20332, _u20335, _u20336)) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u20333, hAPP(_u20334, _u20335), c_Lazy__Sequence_Omap(_u20332, _u20333, _u20334, _u20336))) )).
% 19.53/19.79 cnf(matrix-8164, plain, ( ( c_Lazy__Sequence_Omap(_u20337, _u20338, _u20339, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20337)) = c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20338)) )).
% 19.53/19.79 cnf(matrix-8165, plain, ( ( c_New__DSequence_Opos__map(_u20340, _u20341, _u20342, _u20343, _u20344) = c_Lazy__Sequence_Omap(_u20340, _u20341, _u20342, hAPP(_u20343, _u20344))) )).
% 19.53/19.79 cnf(matrix-8166, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u20345), _u20346)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u20345), _u20347))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u20345)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20346), _u20347)) )).
% 19.53/19.79 cnf(matrix-8167, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20348), _u20348)) )).
% 19.53/19.79 cnf(matrix-8168, plain, ( ~class_Rings_Ocomm__semiring__1(_u20349) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20349), _u20350), c_Groups_Ozero__class_Ozero(_u20349))) )).
% 19.53/19.79 cnf(matrix-8169, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u20351)) )).
% 19.53/19.79 cnf(matrix-8170, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20352), _u20353)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20353)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20352), _u20353)) )).
% 19.53/19.79 cnf(matrix-8171, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20354)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20354), _u20355)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20354), _u20356))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20355), _u20356)) )).
% 19.53/19.79 cnf(matrix-8172, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20354)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20355), _u20356)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20354), _u20355)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20354), _u20356))) )).
% 19.53/19.79 cnf(matrix-8173, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20357), _u20358)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20357), _u20359))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20357)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20358), _u20359)) )).
% 19.53/19.79 cnf(matrix-8174, plain, ( ~class_Divides_Osemiring__div(_u20360) | ~class_Int_Onumber(_u20360) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20360), hAPP(c_Int_Onumber__class_Onumber__of(_u20360), _u20361)), hAPP(c_Int_Onumber__class_Onumber__of(_u20360), _u20362))) | ( c_Divides_Odiv__class_Omod(_u20360, hAPP(c_Int_Onumber__class_Onumber__of(_u20360), _u20362), hAPP(c_Int_Onumber__class_Onumber__of(_u20360), _u20361)) = c_Groups_Ozero__class_Ozero(_u20360)) )).
% 19.53/19.79 cnf(matrix-8175, plain, ( ~class_Divides_Osemiring__div(_u20360) | ~class_Int_Onumber(_u20360) | ( c_Divides_Odiv__class_Omod(_u20360, hAPP(c_Int_Onumber__class_Onumber__of(_u20360), _u20362), hAPP(c_Int_Onumber__class_Onumber__of(_u20360), _u20361)) != c_Groups_Ozero__class_Ozero(_u20360)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20360), hAPP(c_Int_Onumber__class_Onumber__of(_u20360), _u20361)), hAPP(c_Int_Onumber__class_Onumber__of(_u20360), _u20362))) )).
% 19.53/19.79 cnf(matrix-8176, plain, ( ~class_Divides_Osemiring__div(_u20363) | ( _u20364 = c_Groups_Ozero__class_Ozero(_u20363)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20363), _u20364), _u20365)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20363), _u20365), _u20364) != _u20366) | ( _u20365 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20363), _u20366), _u20364)) )).
% 19.53/19.79 cnf(matrix-8177, plain, ( ~class_Divides_Osemiring__div(_u20363) | ( _u20364 = c_Groups_Ozero__class_Ozero(_u20363)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20363), _u20364), _u20365)) | ( _u20365 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20363), _u20366), _u20364)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20363), _u20365), _u20364) = _u20366) )).
% 19.53/19.79 cnf(matrix-8178, plain, ( ~class_Divides_Osemiring__div(_u20367) | ( _u20368 = c_Groups_Ozero__class_Ozero(_u20367)) | ( _u20369 = c_Groups_Ozero__class_Ozero(_u20367)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20367), _u20368), _u20370)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20367), _u20369), _u20371)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20367), _u20370), _u20368) != hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20367), _u20371), _u20369)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20367), _u20370), _u20369) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20367), _u20368), _u20371)) )).
% 19.53/19.79 cnf(matrix-8179, plain, ( ~class_Divides_Osemiring__div(_u20367) | ( _u20368 = c_Groups_Ozero__class_Ozero(_u20367)) | ( _u20369 = c_Groups_Ozero__class_Ozero(_u20367)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20367), _u20368), _u20370)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20367), _u20369), _u20371)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20367), _u20370), _u20369) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20367), _u20368), _u20371)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20367), _u20370), _u20368) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20367), _u20371), _u20369)) )).
% 19.53/19.79 cnf(matrix-8180, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20372), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20373), _u20374))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20372), _u20374)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20374), _u20373)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20372), _u20373)) )).
% 19.53/19.79 cnf(matrix-8181, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20375), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20376), _u20377))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20375), _u20376)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20377), _u20376)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20375), _u20377)) )).
% 19.53/19.79 cnf(matrix-8182, plain, ( ~class_Rings_Ocomm__semiring__1(_u20378) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20378), hAPP(hAPP(c_Power_Opower__class_Opower(_u20378), _u20379), _u20380)), _u20381)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20382), _u20380)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20378), hAPP(hAPP(c_Power_Opower__class_Opower(_u20378), _u20379), _u20382)), _u20381)) )).
% 19.53/19.79 cnf(matrix-8183, plain, ( ~class_Rings_Ocomm__semiring__1(_u20383) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20383), _u20384), _u20385)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20386), _u20387)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20383), hAPP(hAPP(c_Power_Opower__class_Opower(_u20383), _u20384), _u20386)), hAPP(hAPP(c_Power_Opower__class_Opower(_u20383), _u20385), _u20387))) )).
% 19.53/19.79 cnf(matrix-8184, plain, ( ~class_Rings_Ocomm__semiring__1(_u20388) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u20389), _u20390)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20388), hAPP(hAPP(c_Power_Opower__class_Opower(_u20388), _u20391), _u20389)), hAPP(hAPP(c_Power_Opower__class_Opower(_u20388), _u20391), _u20390))) )).
% 19.53/19.79 cnf(matrix-8185, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20396, _u20398)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20400, _u20402))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20396), _u20398)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20400), _u20396)) )).
% 19.53/19.79 cnf(matrix-8186, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20396, _u20398)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20400, _u20402))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20396), _u20398)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20398), _u20402)) )).
% 19.53/19.79 cnf(matrix-8187, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20397, _u20399)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20401, _u20403))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20397), _u20399)) )).
% 19.53/19.79 cnf(matrix-8188, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20397, _u20399)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20401, _u20403))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20401), _u20397)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20399), _u20403)) )).
% 19.53/19.79 cnf(matrix-8189, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20406), c_SetInterval_Oord_OatLeast(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20408))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20408), _u20406)) )).
% 19.53/19.79 cnf(matrix-8190, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20409), _u20407)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20407), c_SetInterval_Oord_OatLeast(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20409))) )).
% 19.53/19.79 cnf(matrix-8191, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20412), c_SetInterval_Oord_OatMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20414))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20412), _u20414)) )).
% 19.53/19.79 cnf(matrix-8192, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20413), _u20415)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20413), c_SetInterval_Oord_OatMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20415))) )).
% 19.53/19.79 cnf(matrix-8193, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20418), c_SetInterval_Oord_OlessThan(tc_Nat_Onat, hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20420))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20418), _u20420)) )).
% 19.53/19.79 cnf(matrix-8194, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20418), c_SetInterval_Oord_OlessThan(tc_Nat_Onat, hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20420))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20420), _u20418)) )).
% 19.53/19.79 cnf(matrix-8195, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20419), _u20421)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20421), _u20419)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20419), c_SetInterval_Oord_OlessThan(tc_Nat_Onat, hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20421))) )).
% 19.53/19.79 cnf(matrix-8196, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20424), c_SetInterval_Oord_OgreaterThan(tc_Nat_Onat, hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20426))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20426), _u20424)) )).
% 19.53/19.79 cnf(matrix-8197, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20424), c_SetInterval_Oord_OgreaterThan(tc_Nat_Onat, hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20426))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20424), _u20426)) )).
% 19.53/19.79 cnf(matrix-8198, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20427), _u20425)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20425), _u20427)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20425), c_SetInterval_Oord_OgreaterThan(tc_Nat_Onat, hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20427))) )).
% 19.53/19.79 cnf(matrix-8199, plain, ( ~class_Divides_Osemiring__div(_u20428) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20428), _u20429), _u20430)) | ( c_Divides_Odiv__class_Omod(_u20428, _u20430, _u20429) = c_Groups_Ozero__class_Ozero(_u20428)) )).
% 19.53/19.79 cnf(matrix-8200, plain, ( ~class_Divides_Osemiring__div(_u20428) | ( c_Divides_Odiv__class_Omod(_u20428, _u20430, _u20429) != c_Groups_Ozero__class_Ozero(_u20428)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20428), _u20429), _u20430)) )).
% 19.53/19.79 cnf(matrix-8201, plain, ( ~class_Divides_Osemiring__div(_u20431) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20431), _u20432), _u20433)) | ( c_Divides_Odiv__class_Omod(_u20431, _u20433, _u20432) = c_Groups_Ozero__class_Ozero(_u20431)) )).
% 19.53/19.79 cnf(matrix-8202, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20438, _u20440)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20442, _u20444))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20438), _u20440)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20442), _u20438)) )).
% 19.53/19.79 cnf(matrix-8203, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20438, _u20440)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20442, _u20444))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20438), _u20440)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20440), _u20444)) )).
% 19.53/19.79 cnf(matrix-8204, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20438, _u20440)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20442, _u20444))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20438), _u20440)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20442), _u20438)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20440), _u20444)) )).
% 19.53/19.79 cnf(matrix-8205, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20438, _u20440)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20442, _u20444))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20438), _u20440)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20442), _u20438)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20444), _u20440)) )).
% 19.53/19.79 cnf(matrix-8206, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20438, _u20440)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20442, _u20444))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20438), _u20440)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20438), _u20442)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20440), _u20444)) )).
% 19.53/19.79 cnf(matrix-8207, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20438, _u20440)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20442, _u20444))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20438), _u20440)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20438), _u20442)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20444), _u20440)) )).
% 19.53/19.79 cnf(matrix-8208, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20438, _u20440)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20442, _u20444))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20442), _u20444)) )).
% 19.53/19.79 cnf(matrix-8209, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20439, _u20441)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20443, _u20445))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20443), _u20445)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20439), _u20441)) )).
% 19.53/19.79 cnf(matrix-8210, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20439, _u20441)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20443, _u20445))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20443), _u20445)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20443), _u20439)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20441), _u20445)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20439), _u20443)) )).
% 19.53/19.79 cnf(matrix-8211, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20439, _u20441)), c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20443, _u20445))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20443), _u20445)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20443), _u20439)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20441), _u20445)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20445), _u20441)) )).
% 19.53/19.79 cnf(matrix-8212, plain, ( ~class_Rings_Ocomm__semiring__1(_u20446) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20446), c_Groups_Ozero__class_Ozero(_u20446)), _u20447)) | ( _u20447 = c_Groups_Ozero__class_Ozero(_u20446)) )).
% 19.53/19.79 cnf(matrix-8213, plain, ( ~class_Rings_Ocomm__semiring__1(_u20448) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20448), c_Groups_Oone__class_Oone(_u20448)), _u20449)) )).
% 19.53/19.79 cnf(matrix-8214, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20452), _u20453)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20453), _u20452)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20453), _u20454)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20454), _u20453)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20452), _u20454)) )).
% 19.53/19.79 cnf(matrix-8215, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20452), _u20453)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20453), _u20452)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20453), _u20454)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20454), _u20453)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20454), _u20452)) )).
% 19.53/19.79 cnf(matrix-8216, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20457), _u20458)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20458), _u20457)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20458), _u20459)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20457), _u20459)) )).
% 19.53/19.79 cnf(matrix-8217, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20457), _u20458)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20458), _u20457)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20458), _u20459)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20459), _u20457)) )).
% 19.53/19.79 cnf(matrix-8218, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20460), _u20461)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20461), _u20460)) | ( _u20461 != _u20462) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20460), _u20462)) )).
% 19.53/19.79 cnf(matrix-8219, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20460), _u20461)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20461), _u20460)) | ( _u20461 != _u20462) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20462), _u20460)) )).
% 19.53/19.79 cnf(matrix-8220, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20463), _u20464)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20464), _u20463)) | ( _u20464 != _u20463) )).
% 19.53/19.79 cnf(matrix-8221, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20465), _u20466)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20466), _u20465)) | ( _u20465 != _u20466) )).
% 19.53/19.79 cnf(matrix-8222, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20473), _u20474)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20474), _u20473)) | ( _u20473 != _u20474) )).
% 19.53/19.79 cnf(matrix-8223, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20475), _u20476)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20476), _u20477)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20477), _u20476)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20475), _u20477)) )).
% 19.53/19.79 cnf(matrix-8224, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20475), _u20476)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20476), _u20477)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20477), _u20476)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20477), _u20475)) )).
% 19.53/19.79 cnf(matrix-8225, plain, ( ( _u20478 != _u20479) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20479), _u20480)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20480), _u20479)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20478), _u20480)) )).
% 19.53/19.79 cnf(matrix-8226, plain, ( ( _u20478 != _u20479) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20479), _u20480)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20480), _u20479)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20480), _u20478)) )).
% 19.53/19.79 cnf(matrix-8227, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20481), _u20482)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20482), _u20483)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20481), _u20483)) )).
% 19.53/19.79 cnf(matrix-8228, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20484), _u20485)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20485), _u20484)) | ( _u20484 = _u20485) )).
% 19.53/19.79 cnf(matrix-8229, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20486), _u20487)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20487), _u20486)) | ( _u20486 = _u20487) )).
% 19.53/19.79 cnf(matrix-8230, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20488), _u20489)) | ( _u20489 != _u20490) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20488), _u20490)) )).
% 19.53/19.79 cnf(matrix-8231, plain, ( ( _u20491 != _u20492) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20492), _u20493)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20491), _u20493)) )).
% 19.53/19.79 cnf(matrix-8232, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20494), _u20495)) | ( _u20494 = _u20495) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20495), _u20494)) )).
% 19.53/19.79 cnf(matrix-8233, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20496), _u20497)) | ( _u20496 = _u20497) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20497), _u20496)) )).
% 19.53/19.79 cnf(matrix-8234, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20498), _u20499)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20499), _u20498)) | ( _u20499 = _u20498) )).
% 19.53/19.79 cnf(matrix-8235, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20498), _u20499)) | ( _u20499 != _u20498) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20499), _u20498)) )).
% 19.53/19.79 cnf(matrix-8236, plain, ( ( _u20500 != _u20501) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20500), _u20501)) )).
% 19.53/19.79 cnf(matrix-8237, plain, ( ( _u20502 = _u20503) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20502), _u20503)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20503), _u20502)) )).
% 19.53/19.79 cnf(matrix-8238, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20506), _u20508)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20508), _u20506)) | ( _u20506 != _u20508) )).
% 19.53/19.79 cnf(matrix-8239, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20507), _u20509)) | ( _u20507 = _u20509) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20509), _u20507)) )).
% 19.53/19.79 cnf(matrix-8240, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20512), _u20514)) | ( _u20512 = _u20514) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20514), _u20512)) )).
% 19.53/19.79 cnf(matrix-8241, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20513), _u20515)) | ( _u20513 != _u20515) )).
% 19.53/19.79 cnf(matrix-8242, plain, ( ( _u20518 != _u20520) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20518), _u20520)) )).
% 19.53/19.79 cnf(matrix-8243, plain, ( ( _u20518 != _u20520) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20520), _u20518)) )).
% 19.53/19.79 cnf(matrix-8244, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20519), _u20521)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20521), _u20519)) | ( _u20519 = _u20521) )).
% 19.53/19.79 cnf(matrix-8245, plain, ( ~class_Rings_Ocomm__semiring__1(_u20522) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20522), _u20523), _u20524)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20522), _u20524), _u20525)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20522), _u20523), _u20525)) )).
% 19.53/19.79 cnf(matrix-8246, plain, ( ~class_Rings_Ocomm__semiring__1(_u20526) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20526), _u20527), _u20527)) )).
% 19.53/19.79 cnf(matrix-8247, plain, ( ~class_Rings_Olinordered__idom(_u20528) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20528), _u20529), hAPP(c_Groups_Oabs__class_Oabs(_u20528), _u20530))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20528), _u20529), _u20530)) )).
% 19.53/19.79 cnf(matrix-8248, plain, ( ~class_Rings_Olinordered__idom(_u20528) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20528), _u20529), _u20530)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20528), _u20529), hAPP(c_Groups_Oabs__class_Oabs(_u20528), _u20530))) )).
% 19.53/19.79 cnf(matrix-8249, plain, ( ~class_Rings_Olinordered__idom(_u20531) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20531), hAPP(c_Groups_Oabs__class_Oabs(_u20531), _u20532)), _u20533)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20531), _u20532), _u20533)) )).
% 19.53/19.79 cnf(matrix-8250, plain, ( ~class_Rings_Olinordered__idom(_u20531) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20531), _u20532), _u20533)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20531), hAPP(c_Groups_Oabs__class_Oabs(_u20531), _u20532)), _u20533)) )).
% 19.53/19.79 cnf(matrix-8251, plain, ( ~class_Rings_Olinordered__idom(_u20534) | ( hAPP(c_Groups_Oabs__class_Oabs(_u20534), _u20535) != hAPP(c_Groups_Oabs__class_Oabs(_u20534), _u20536)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20534), _u20535), _u20536)) )).
% 19.53/19.79 cnf(matrix-8252, plain, ( ~class_Divides_Osemiring__div(_u20537) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20537), _u20538), _u20539)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20537), _u20538), _u20540)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20537), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20537), _u20539), _u20538)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20537), _u20540), _u20538))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20537), _u20539), _u20540)) )).
% 19.53/19.79 cnf(matrix-8253, plain, ( ~class_Divides_Osemiring__div(_u20537) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20537), _u20538), _u20539)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20537), _u20538), _u20540)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20537), _u20539), _u20540)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20537), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20537), _u20539), _u20538)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20537), _u20540), _u20538))) )).
% 19.53/19.79 cnf(matrix-8254, plain, ( ~class_Divides_Osemiring__div(_u20541) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20541), _u20542), _u20543)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20541), _u20542), c_Divides_Odiv__class_Omod(_u20541, _u20544, _u20543))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20541), _u20542), _u20544)) )).
% 19.53/19.79 cnf(matrix-8255, plain, ( ~class_Divides_Osemiring__div(_u20541) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20541), _u20542), _u20543)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20541), _u20542), _u20544)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20541), _u20542), c_Divides_Odiv__class_Omod(_u20541, _u20544, _u20543))) )).
% 19.53/19.79 cnf(matrix-8256, plain, ( ~class_Divides_Osemiring__div(_u20545) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20545), _u20546), _u20547)) | ( c_Divides_Odiv__class_Omod(_u20545, c_Divides_Odiv__class_Omod(_u20545, _u20548, _u20547), _u20546) = c_Divides_Odiv__class_Omod(_u20545, _u20548, _u20546)) )).
% 19.53/19.79 cnf(matrix-8257, plain, ( ~class_Divides_Osemiring__div(_u20549) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20549), _u20550), _u20551)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20549), _u20550), _u20552)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20549), _u20550), c_Divides_Odiv__class_Omod(_u20549, _u20551, _u20552))) )).
% 19.53/19.79 cnf(matrix-8258, plain, ( ~class_Divides_Osemiring__div(_u20553) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20553), _u20554), c_Divides_Odiv__class_Omod(_u20553, _u20555, _u20556))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20553), _u20554), _u20556)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20553), _u20554), _u20555)) )).
% 19.53/19.79 cnf(matrix-8259, plain, ( ~class_Rings_Ocomm__semiring__1(_u20557) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20557), _u20558), _u20559)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20557), hAPP(hAPP(c_Power_Opower__class_Opower(_u20557), _u20558), _u20560)), hAPP(hAPP(c_Power_Opower__class_Opower(_u20557), _u20559), _u20560))) )).
% 19.53/19.79 cnf(matrix-8260, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20562), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( _u20562 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 19.53/19.79 cnf(matrix-8261, plain, ( ( _u20563 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20563), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 19.53/19.79 cnf(matrix-8262, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20566), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20568), _u20566))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20566), _u20568)) )).
% 19.53/19.79 cnf(matrix-8263, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20567), _u20569)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20567), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u20569), _u20567))) )).
% 19.53/19.79 cnf(matrix-8264, plain, ( ~class_Rings_Ocomm__semiring__1(_u20570) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20570), _u20571), _u20572)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20570), _u20571), _u20573)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20570), _u20571), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20570), _u20572), _u20573))) )).
% 19.53/19.79 cnf(matrix-8265, plain, ( ~class_Divides_Osemiring__div(_u20574) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20574), _u20575), _u20576)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20574), _u20575), _u20577)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20574), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20574), _u20576), _u20577)), _u20575) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20574), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20574), _u20576), _u20575)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20574), _u20577), _u20575))) )).
% 19.53/19.79 cnf(matrix-8266, plain, ( ~class_Rings_Ocomm__ring__1(_u20578) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20578), hAPP(c_Groups_Ouminus__class_Ouminus(_u20578), _u20579)), _u20580)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20578), _u20579), _u20580)) )).
% 19.53/19.79 cnf(matrix-8267, plain, ( ~class_Rings_Ocomm__ring__1(_u20578) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20578), _u20579), _u20580)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20578), hAPP(c_Groups_Ouminus__class_Ouminus(_u20578), _u20579)), _u20580)) )).
% 19.53/19.79 cnf(matrix-8268, plain, ( ~class_Rings_Ocomm__ring__1(_u20581) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20581), _u20582), hAPP(c_Groups_Ouminus__class_Ouminus(_u20581), _u20583))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20581), _u20582), _u20583)) )).
% 19.53/19.79 cnf(matrix-8269, plain, ( ~class_Rings_Ocomm__ring__1(_u20581) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20581), _u20582), _u20583)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20581), _u20582), hAPP(c_Groups_Ouminus__class_Ouminus(_u20581), _u20583))) )).
% 19.53/19.79 cnf(matrix-8270, plain, ( ~class_Rings_Ocomm__ring__1(_u20584) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20584), _u20585), _u20586)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20584), _u20585), _u20587)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20584), _u20585), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20584), _u20586), _u20587))) )).
% 19.53/19.79 cnf(matrix-8271, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20588), _u20589)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20588), _u20590)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20588), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u20589), _u20590))) )).
% 19.53/19.79 cnf(matrix-8272, plain, ( ~class_Divides_Osemiring__div(_u20591) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20591), _u20592), _u20593)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u20591), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20591), _u20593), _u20592)), _u20594) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20591), hAPP(hAPP(c_Power_Opower__class_Opower(_u20591), _u20593), _u20594)), hAPP(hAPP(c_Power_Opower__class_Opower(_u20591), _u20592), _u20594))) )).
% 19.53/19.79 cnf(matrix-8273, plain, ( ~class_Divides_Oring__div(_u20595) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20595), _u20596), _u20597)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20595), hAPP(c_Groups_Ouminus__class_Ouminus(_u20595), _u20597)), _u20596) = hAPP(c_Groups_Ouminus__class_Ouminus(_u20595), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20595), _u20597), _u20596))) )).
% 19.53/19.79 cnf(matrix-8274, plain, ( ~class_Divides_Oring__div(_u20598) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20598), _u20599), _u20600)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20598), _u20600), hAPP(c_Groups_Ouminus__class_Ouminus(_u20598), _u20599)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u20598), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20598), _u20600), _u20599))) )).
% 19.53/19.79 cnf(matrix-8275, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u20601)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u20601), _u20602)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20602), _u20601)) )).
% 19.53/19.79 cnf(matrix-8276, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20604), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u20604 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 19.53/19.79 cnf(matrix-8277, plain, ( ( _u20605 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20605), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 19.53/19.79 cnf(matrix-8278, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20606), _u20607)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20607), _u20606)) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20607, _u20606) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 19.53/19.79 cnf(matrix-8279, plain, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20610, _u20612) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20610), _u20612)) )).
% 19.53/19.79 cnf(matrix-8280, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20611), _u20613)) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20611, _u20613) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 19.53/19.79 cnf(matrix-8281, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) != c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20616, _u20618)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20616), _u20618)) )).
% 19.53/19.79 cnf(matrix-8282, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20617), _u20619)) | ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20617, _u20619)) )).
% 19.53/19.79 cnf(matrix-8283, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20620), _u20621)) | ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20621, _u20620) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 19.53/19.79 cnf(matrix-8284, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20622), _u20623)) | ( c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20623, _u20622) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 19.53/19.79 cnf(matrix-8285, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20624), _u20625)) | ( c_SetInterval_Oord_OgreaterThanLessThan(tc_Nat_Onat, hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20625, _u20624) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 19.53/19.79 cnf(matrix-8286, plain, ( ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20628, _u20630) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20628), _u20630)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20630), _u20628)) )).
% 19.53/19.79 cnf(matrix-8287, plain, ( ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20629, _u20631) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20629), _u20631)) )).
% 19.53/19.79 cnf(matrix-8288, plain, ( ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20629, _u20631) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20631), _u20629)) )).
% 19.53/19.79 cnf(matrix-8289, plain, ( ( c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20634, _u20636) != c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20634), _u20636)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20636), _u20634)) )).
% 19.53/19.79 cnf(matrix-8290, plain, ( ( c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20635, _u20637) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20635), _u20637)) )).
% 19.53/19.79 cnf(matrix-8291, plain, ( ( c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20635, _u20637) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20637), _u20635)) )).
% 19.53/19.79 cnf(matrix-8292, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) != c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20640, _u20642)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20640), _u20642)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20642), _u20640)) )).
% 19.53/19.79 cnf(matrix-8293, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20641, _u20643)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20641), _u20643)) )).
% 19.53/19.79 cnf(matrix-8294, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20641, _u20643)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20643), _u20641)) )).
% 19.53/19.79 cnf(matrix-8295, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) != c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20646, _u20648)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20646), _u20648)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20648), _u20646)) )).
% 19.53/19.79 cnf(matrix-8296, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20647, _u20649)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20647), _u20649)) )).
% 19.53/19.79 cnf(matrix-8297, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_Nat_Onat), c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_Nat_Onat), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Nat_Onat), c_fNot)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))), _u20647, _u20649)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20649), _u20647)) )).
% 19.53/19.79 cnf(matrix-8298, plain, ( ( _u20650 != _u20651) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20650, _u20651) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20650), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 19.53/19.79 cnf(matrix-8299, plain, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20652, _u20652) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20652), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 19.53/19.79 cnf(matrix-8300, plain, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20656, _u20658) != hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20660), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u20656 = _u20658) )).
% 19.53/19.79 cnf(matrix-8301, plain, ( ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20656, _u20658) != hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20660), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u20658 = _u20660) )).
% 19.53/19.79 cnf(matrix-8302, plain, ( ( _u20657 != _u20659) | ( _u20659 != _u20661) | ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat, c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20657, _u20659) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u20661), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 19.53/19.79 cnf(matrix-8303, plain, ( ~class_Rings_Ocomm__ring(_u20664) | ~class_Rings_Odvd(_u20664) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20664), _u20665), _u20666)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20664), _u20665), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20664), _u20670), _u20667))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20664), _u20665), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20664), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20664), _u20670), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20664), _u20668), _u20666))), _u20667))) )).
% 19.53/19.79 cnf(matrix-8304, plain, ( ~class_Rings_Ocomm__ring(_u20664) | ~class_Rings_Odvd(_u20664) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20664), _u20665), _u20666)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20664), _u20665), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20664), _u20671), _u20667))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20664), _u20665), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20664), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20664), _u20671), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20664), _u20669), _u20666))), _u20667))) )).
% 19.53/19.79 cnf(matrix-8305, plain, ( ~class_Rings_Ocomm__ring(_u20674) | ~class_Rings_Odvd(_u20674) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20674), _u20675), _u20676)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20674), _u20675), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20674), _u20680), _u20677))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20674), _u20675), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20674), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20674), _u20680), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20674), _u20678), _u20676))), _u20677))) )).
% 19.53/19.79 cnf(matrix-8306, plain, ( ~class_Rings_Ocomm__ring(_u20674) | ~class_Rings_Odvd(_u20674) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20674), _u20675), _u20676)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20674), _u20675), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20674), _u20681), _u20677))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20674), _u20675), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20674), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u20674), _u20681), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20674), _u20679), _u20676))), _u20677))) )).
% 19.53/19.79 cnf(matrix-8307, plain, ( ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20685), _u20687)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20685), _u20689))) | ( _u20685 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20687), _u20689)) )).
% 19.53/19.79 cnf(matrix-8308, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20686), _u20688)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20686), _u20690))) | ( _u20686 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 19.53/19.79 cnf(matrix-8309, plain, ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20686), _u20688)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u20686), _u20690))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat), _u20688), _u20690)) )).
% 19.53/19.79 cnf(matrix-8310, plain, ( ~class_Divides_Osemiring__div(_u20691) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20691), _u20692), _u20693)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20691), _u20692), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20691), _u20693), _u20692)) = _u20693) )).
% 19.53/19.79 cnf(matrix-8311, plain, ( ~class_Divides_Osemiring__div(_u20694) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20694), _u20695), _u20696)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20694), _u20697), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20694), _u20696), _u20695)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20694), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20694), _u20697), _u20696)), _u20695)) )).
% 19.53/19.79 cnf(matrix-8312, plain, ( ~class_Divides_Osemiring__div(_u20698) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20698), _u20699), _u20700)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20698), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20698), _u20700), _u20699)), _u20699) = _u20700) )).
% 19.53/19.79 cnf(matrix-8313, plain, ( ~class_Divides_Osemiring__div(_u20701) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20701), _u20702), _u20703)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20701), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20701), _u20703), _u20702)), _u20704) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20701), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20701), _u20703), _u20704)), _u20702)) )).
% 19.53/19.79 cnf(matrix-8314, plain, ( ~class_Divides_Osemiring__div(_u20705) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20705), _u20706), _u20707)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20705), _u20708), _u20709)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20705), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20705), _u20707), _u20706)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20705), _u20709), _u20708)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u20705), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20705), _u20707), _u20709)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20705), _u20706), _u20708))) )).
% 19.53/19.79 cnf(matrix-8315, plain, ( ~class_Rings_Ocomm__semiring__1(_u20710) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20710), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20710), _u20711), _u20712)), _u20713)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20710), _u20712), _u20713)) )).
% 19.53/19.79 cnf(matrix-8316, plain, ( ~class_Rings_Ocomm__semiring__1(_u20714) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20714), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20714), _u20715), _u20716)), _u20717)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20714), _u20715), _u20717)) )).
% 19.53/19.79 cnf(matrix-8317, plain, ( ~class_Rings_Odvd(_u20718) | ( _u20719 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20718), _u20720), _u20721)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20718), _u20720), _u20719)) )).
% 19.53/19.79 cnf(matrix-8318, plain, ( ~class_Rings_Ocomm__semiring__1(_u20722) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20722), _u20723), _u20724)) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20722), _u20725), _u20726)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20722), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20722), _u20723), _u20725)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20722), _u20724), _u20726))) )).
% 19.53/19.79 cnf(matrix-8319, plain, ( ~class_Rings_Ocomm__semiring__1(_u20727) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20727), _u20728), _u20729)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20727), _u20728), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20727), _u20730), _u20729))) )).
% 19.53/19.79 cnf(matrix-8320, plain, ( ~class_Rings_Ocomm__semiring__1(_u20731) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20731), _u20732), _u20733)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20731), _u20732), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20731), _u20733), _u20734))) )).
% 19.53/19.79 cnf(matrix-8321, plain, ( ~class_Rings_Ocomm__semiring__1(_u20735) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20735), _u20736), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20735), _u20737), _u20736))) )).
% 19.53/19.79 cnf(matrix-8322, plain, ( ~class_Rings_Ocomm__semiring__1(_u20738) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20738), _u20739), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20738), _u20739), _u20740))) )).
% 19.53/19.79 cnf(matrix-8323, plain, ( ~class_Rings_Oidom(_u20741) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20741), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20741), _u20742), _u20743)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20741), _u20744), _u20743))) | ( _u20743 = c_Groups_Ozero__class_Ozero(_u20741)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20741), _u20742), _u20744)) )).
% 19.53/19.79 cnf(matrix-8324, plain, ( ~class_Rings_Oidom(_u20741) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20741), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20741), _u20742), _u20743)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20741), _u20744), _u20743))) | ( _u20743 != c_Groups_Ozero__class_Ozero(_u20741)) )).
% 19.53/19.79 cnf(matrix-8325, plain, ( ~class_Rings_Oidom(_u20741) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20741), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20741), _u20742), _u20743)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20741), _u20744), _u20743))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20741), _u20742), _u20744)) )).
% 19.53/19.79 cnf(matrix-8326, plain, ( ~class_Rings_Oidom(_u20745) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20745), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20745), _u20746), _u20747)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20745), _u20746), _u20748))) | ( _u20746 = c_Groups_Ozero__class_Ozero(_u20745)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20745), _u20747), _u20748)) )).
% 19.53/19.79 cnf(matrix-8327, plain, ( ~class_Rings_Oidom(_u20745) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20745), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20745), _u20746), _u20747)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20745), _u20746), _u20748))) | ( _u20746 != c_Groups_Ozero__class_Ozero(_u20745)) )).
% 19.53/19.79 cnf(matrix-8328, plain, ( ~class_Rings_Oidom(_u20745) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20745), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20745), _u20746), _u20747)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20745), _u20746), _u20748))) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20745), _u20747), _u20748)) )).
% 19.53/19.79 cnf(matrix-8329, plain, ( ~class_Rings_Odvd(_u20753) | ~class_Rings_Osemiring__0(_u20753) | ~hBOOL(hAPP(_u20754, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20753), _u20755), _u20749))) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20753), _u20755), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20753), skolem577(_u20755, _u20754, _u20753)), c_Groups_Ozero__class_Ozero(_u20753)))) )).
% 19.53/19.79 cnf(matrix-8330, plain, ( ~class_Rings_Odvd(_u20753) | ~class_Rings_Osemiring__0(_u20753) | ~hBOOL(hAPP(_u20754, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20753), _u20755), _u20749))) | hBOOL(hAPP(_u20754, skolem577(_u20755, _u20754, _u20753))) )).
% 19.53/19.79 cnf(matrix-8331, plain, ( ~class_Rings_Odvd(_u20753) | ~class_Rings_Osemiring__0(_u20753) | ~hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20753), _u20755), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20753), _u20751), c_Groups_Ozero__class_Ozero(_u20753)))) | ~hBOOL(hAPP(_u20754, _u20751)) | hBOOL(hAPP(_u20754, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u20753), _u20755), skolem578(_u20755, _u20754, _u20753)))) )).
% 19.53/19.79 cnf(matrix-8332, plain, ( ~class_Rings_Ocomm__semiring__1(_u20756) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20757), _u20758)) | ~hBOOL(hAPP(hAPP(c_member(_u20757), _u20759), _u20758)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20756), hAPP(_u20760, _u20759)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u20757, _u20756), _u20760), _u20758))) )).
% 19.53/19.79 cnf(matrix-8333, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20761) | ~class_Rings_Odvd(_u20761) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20762), _u20763)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20762, tc_HOL_Obool)), _u20764), _u20763)) | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(_u20761), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u20762, _u20761), _u20765), _u20764)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u20762, _u20761), _u20765), _u20763))) )).
% 19.53/19.79 cnf(matrix-8334, plain, ( class_Lattices_Obounded__lattice(tc_HOL_Obool) )).
% 19.53/19.79 cnf(matrix-8335, plain, ( ~class_Lattices_Obounded__lattice(_u20766) | class_Lattices_Obounded__lattice(tc_fun(_u20767, _u20766)) )).
% 19.53/19.79 cnf(matrix-8336, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20768) | class_Complete__Lattice_Ocomplete__lattice(tc_fun(_u20769, _u20768)) )).
% 19.53/19.79 cnf(matrix-8337, plain, ( ~class_Lattices_Obounded__lattice(_u20770) | class_Lattices_Obounded__lattice__top(tc_fun(_u20771, _u20770)) )).
% 19.53/19.79 cnf(matrix-8338, plain, ( ~class_Lattices_Obounded__lattice(_u20772) | class_Lattices_Obounded__lattice__bot(tc_fun(_u20773, _u20772)) )).
% 19.53/19.79 cnf(matrix-8339, plain, ( ~class_Lattices_Olattice(_u20774) | class_Lattices_Osemilattice__sup(tc_fun(_u20775, _u20774)) )).
% 19.53/19.79 cnf(matrix-8340, plain, ( ~class_Lattices_Olattice(_u20776) | class_Lattices_Osemilattice__inf(tc_fun(_u20777, _u20776)) )).
% 19.53/19.79 cnf(matrix-8341, plain, ( ~class_Lattices_Odistrib__lattice(_u20778) | class_Lattices_Odistrib__lattice(tc_fun(_u20779, _u20778)) )).
% 19.53/19.79 cnf(matrix-8342, plain, ( ~class_Lattices_Oboolean__algebra(_u20780) | class_Lattices_Oboolean__algebra(tc_fun(_u20781, _u20780)) )).
% 19.53/19.79 cnf(matrix-8343, plain, ( ~class_Orderings_Opreorder(_u20782) | class_Orderings_Opreorder(tc_fun(_u20783, _u20782)) )).
% 19.53/19.79 cnf(matrix-8344, plain, ( ~class_Finite__Set_Ofinite(_u20784) | ~class_Finite__Set_Ofinite(_u20785) | class_Finite__Set_Ofinite(tc_fun(_u20784, _u20785)) )).
% 19.53/19.79 cnf(matrix-8345, plain, ( ~class_Lattices_Olattice(_u20786) | class_Lattices_Olattice(tc_fun(_u20787, _u20786)) )).
% 19.53/19.79 cnf(matrix-8346, plain, ( ~class_Orderings_Oorder(_u20788) | class_Orderings_Oorder(tc_fun(_u20789, _u20788)) )).
% 19.53/19.79 cnf(matrix-8347, plain, ( ~class_Orderings_Otop(_u20790) | class_Orderings_Otop(tc_fun(_u20791, _u20790)) )).
% 19.53/19.79 cnf(matrix-8348, plain, ( ~class_Orderings_Oord(_u20792) | class_Orderings_Oord(tc_fun(_u20793, _u20792)) )).
% 19.53/19.79 cnf(matrix-8349, plain, ( ~class_Orderings_Obot(_u20794) | class_Orderings_Obot(tc_fun(_u20795, _u20794)) )).
% 19.53/19.79 cnf(matrix-8350, plain, ( ~class_Groups_Ouminus(_u20796) | class_Groups_Ouminus(tc_fun(_u20797, _u20796)) )).
% 19.53/19.79 cnf(matrix-8351, plain, ( ~class_Groups_Ominus(_u20798) | class_Groups_Ominus(tc_fun(_u20799, _u20798)) )).
% 19.53/19.79 cnf(matrix-8352, plain, ( ~class_Enum_Oenum(_u20800) | ~class_Enum_Oenum(_u20801) | class_Enum_Oenum(tc_fun(_u20800, _u20801)) )).
% 19.53/19.79 cnf(matrix-8353, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8354, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8355, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8356, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8357, plain, ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8358, plain, ( class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8359, plain, ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8360, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8361, plain, ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8362, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8363, plain, ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8364, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8365, plain, ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8366, plain, ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8367, plain, ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8368, plain, ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8369, plain, ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8370, plain, ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8371, plain, ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8372, plain, ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8373, plain, ( class_Rings_Olinordered__semiring(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8374, plain, ( class_Rings_Olinordered__semidom(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8375, plain, ( class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8376, plain, ( class_Lattices_Osemilattice__sup(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8377, plain, ( class_Lattices_Osemilattice__inf(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8378, plain, ( class_Lattices_Odistrib__lattice(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8379, plain, ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8380, plain, ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8381, plain, ( class_Groups_Oab__semigroup__add(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8382, plain, ( class_Rings_Oordered__semiring(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8383, plain, ( class_Rings_Oordered__ring__abs(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8384, plain, ( class_Rings_Ono__zero__divisors(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8385, plain, ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8386, plain, ( class_Rings_Olinordered__ring(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8387, plain, ( class_Rings_Olinordered__idom(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8388, plain, ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8389, plain, ( class_Groups_Osemigroup__add(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8390, plain, ( class_Divides_Osemiring__div(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8391, plain, ( class_Rings_Ocomm__semiring(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8392, plain, ( class_Nat_Osemiring__char__0(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8393, plain, ( class_Groups_Oab__group__add(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8394, plain, ( class_Rings_Ozero__neq__one(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8395, plain, ( class_Rings_Oordered__ring(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8396, plain, ( class_Orderings_Opreorder(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8397, plain, ( class_Orderings_Olinorder(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8398, plain, ( class_Groups_Omonoid__mult(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8399, plain, ( class_Rings_Ocomm__ring__1(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8400, plain, ( class_Groups_Omonoid__add(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8401, plain, ( class_Rings_Osemiring__1(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8402, plain, ( class_Rings_Osemiring__0(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8403, plain, ( class_Lattices_Olattice(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8404, plain, ( class_Groups_Ogroup__add(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8405, plain, ( class_Divides_Oring__div(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8406, plain, ( class_Rings_Omult__zero(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8407, plain, ( class_Rings_Ocomm__ring(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8408, plain, ( class_Orderings_Oorder(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8409, plain, ( class_Int_Oring__char__0(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8410, plain, ( class_Int_Onumber__ring(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8411, plain, ( class_Rings_Osemiring(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8412, plain, ( class_Orderings_Oord(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8413, plain, ( class_Groups_Ouminus(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8414, plain, ( class_Groups_Osgn__if(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8415, plain, ( class_Groups_Oabs__if(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8416, plain, ( class_Rings_Oring__1(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8417, plain, ( class_Groups_Ominus(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8418, plain, ( class_Power_Opower(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8419, plain, ( class_Groups_Ozero(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8420, plain, ( class_Rings_Oring(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8421, plain, ( class_Rings_Oidom(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8422, plain, ( class_Int_Onumber(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8423, plain, ( class_Groups_Oone(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8424, plain, ( class_Rings_Odvd(tc_Int_Oint) )).
% 19.53/19.79 cnf(matrix-8425, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8426, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8427, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8428, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8429, plain, ( class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8430, plain, ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8431, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8432, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8433, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8434, plain, ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8435, plain, ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8436, plain, ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8437, plain, ( class_Rings_Olinordered__semiring(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8438, plain, ( class_Rings_Olinordered__semidom(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8439, plain, ( class_Lattices_Osemilattice__sup(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8440, plain, ( class_Lattices_Osemilattice__inf(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8441, plain, ( class_Lattices_Odistrib__lattice(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8442, plain, ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8443, plain, ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8444, plain, ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8445, plain, ( class_Rings_Oordered__semiring(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8446, plain, ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8447, plain, ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8448, plain, ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8449, plain, ( class_Groups_Osemigroup__add(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8450, plain, ( class_Divides_Osemiring__div(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8451, plain, ( class_Rings_Ocomm__semiring(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8452, plain, ( class_Orderings_Owellorder(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8453, plain, ( class_Nat_Osemiring__char__0(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8454, plain, ( class_Rings_Ozero__neq__one(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8455, plain, ( class_Orderings_Opreorder(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8456, plain, ( class_Orderings_Olinorder(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8457, plain, ( class_Groups_Omonoid__mult(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8458, plain, ( class_Groups_Omonoid__add(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8459, plain, ( class_Rings_Osemiring__1(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8460, plain, ( class_Rings_Osemiring__0(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8461, plain, ( class_Lattices_Olattice(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8462, plain, ( class_Rings_Omult__zero(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8463, plain, ( class_Orderings_Oorder(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8464, plain, ( class_Rings_Osemiring(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8465, plain, ( class_Orderings_Oord(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8466, plain, ( class_Orderings_Obot(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8467, plain, ( class_Groups_Ominus(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8468, plain, ( class_Power_Opower(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8469, plain, ( class_Groups_Ozero(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8470, plain, ( class_Int_Onumber(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8471, plain, ( class_Groups_Oone(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8472, plain, ( class_Rings_Odvd(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8473, plain, ( class_Nat_Osize(tc_Nat_Onat) )).
% 19.53/19.79 cnf(matrix-8474, plain, ( class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) )).
% 19.53/19.79 cnf(matrix-8475, plain, ( class_Lattices_Obounded__lattice__top(tc_HOL_Obool) )).
% 19.53/19.79 cnf(matrix-8476, plain, ( class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) )).
% 19.53/19.79 cnf(matrix-8477, plain, ( class_Lattices_Osemilattice__sup(tc_HOL_Obool) )).
% 19.53/19.79 cnf(matrix-8478, plain, ( class_Lattices_Osemilattice__inf(tc_HOL_Obool) )).
% 19.53/19.79 cnf(matrix-8479, plain, ( class_Lattices_Odistrib__lattice(tc_HOL_Obool) )).
% 19.53/19.79 cnf(matrix-8480, plain, ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) )).
% 19.53/19.79 cnf(matrix-8481, plain, ( class_Orderings_Opreorder(tc_HOL_Obool) )).
% 19.53/19.79 cnf(matrix-8482, plain, ( class_Finite__Set_Ofinite(tc_HOL_Obool) )).
% 19.53/19.79 cnf(matrix-8483, plain, ( class_Lattices_Olattice(tc_HOL_Obool) )).
% 19.53/19.79 cnf(matrix-8484, plain, ( class_Orderings_Oorder(tc_HOL_Obool) )).
% 19.53/19.79 cnf(matrix-8485, plain, ( class_Orderings_Otop(tc_HOL_Obool) )).
% 19.53/19.79 cnf(matrix-8486, plain, ( class_Orderings_Oord(tc_HOL_Obool) )).
% 19.53/19.79 cnf(matrix-8487, plain, ( class_Orderings_Obot(tc_HOL_Obool) )).
% 19.53/19.79 cnf(matrix-8488, plain, ( class_Groups_Ouminus(tc_HOL_Obool) )).
% 19.53/19.79 cnf(matrix-8489, plain, ( class_Groups_Ominus(tc_HOL_Obool) )).
% 19.53/19.79 cnf(matrix-8490, plain, ( class_Enum_Oenum(tc_HOL_Obool) )).
% 19.53/19.79 cnf(matrix-8491, plain, ( class_Nat_Osize(tc_HOL_Obool) )).
% 19.53/19.79 cnf(matrix-8492, plain, ( ~class_Lazy__Sequence_Osmall__lazy(_u20802) | class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(_u20802)) )).
% 19.53/19.79 cnf(matrix-8493, plain, ( class_Nat_Osize(tc_List_Olist(_u20803)) )).
% 19.53/19.79 cnf(matrix-8494, plain, ( ~class_Finite__Set_Ofinite(_u20804) | ~class_Finite__Set_Ofinite(_u20805) | class_Finite__Set_Ofinite(tc_sum(_u20804, _u20805)) )).
% 19.53/19.79 cnf(matrix-8495, plain, ( ~class_Enum_Oenum(_u20806) | ~class_Enum_Oenum(_u20807) | class_Enum_Oenum(tc_sum(_u20806, _u20807)) )).
% 19.53/19.79 cnf(matrix-8496, plain, ( class_Nat_Osize(tc_sum(_u20808, _u20809)) )).
% 19.53/19.79 cnf(matrix-8497, plain, ( ~class_Finite__Set_Ofinite(_u20810) | class_Finite__Set_Ofinite(tc_Option_Ooption(_u20810)) )).
% 19.53/19.79 cnf(matrix-8498, plain, ( ~class_Enum_Oenum(_u20811) | class_Enum_Oenum(tc_Option_Ooption(_u20811)) )).
% 19.53/19.79 cnf(matrix-8499, plain, ( class_Nat_Osize(tc_Option_Ooption(_u20812)) )).
% 19.53/19.79 cnf(matrix-8500, plain, ( class_Nat_Osize(tc_Nitpick_Opair__box(_u20813, _u20814)) )).
% 19.53/19.79 cnf(matrix-8501, plain, ( ~class_Lazy__Sequence_Osmall__lazy(_u20815) | ~class_Lazy__Sequence_Osmall__lazy(_u20816) | class_Lazy__Sequence_Osmall__lazy(tc_prod(_u20815, _u20816)) )).
% 19.53/19.79 cnf(matrix-8502, plain, ( ~class_Finite__Set_Ofinite(_u20817) | ~class_Finite__Set_Ofinite(_u20818) | class_Finite__Set_Ofinite(tc_prod(_u20817, _u20818)) )).
% 19.53/19.79 cnf(matrix-8503, plain, ( ~class_Enum_Oenum(_u20819) | ~class_Enum_Oenum(_u20820) | class_Enum_Oenum(tc_prod(_u20819, _u20820)) )).
% 19.53/19.79 cnf(matrix-8504, plain, ( class_Nat_Osize(tc_prod(_u20821, _u20822)) )).
% 19.53/19.79 cnf(matrix-8505, plain, ( class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) )).
% 19.53/19.79 cnf(matrix-8506, plain, ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) )).
% 19.53/19.79 cnf(matrix-8507, plain, ( class_Enum_Oenum(tc_Product__Type_Ounit) )).
% 19.53/19.79 cnf(matrix-8508, plain, ( class_Nat_Osize(tc_Product__Type_Ounit) )).
% 19.53/19.79 cnf(matrix-8509, plain, ( class_Nat_Osize(tc_Code__Evaluation_Oterm) )).
% 19.53/19.79 cnf(matrix-8510, plain, ( class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(_u20823)) )).
% 19.53/19.79 cnf(matrix-8511, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8512, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8513, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8514, plain, ( class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8515, plain, ( class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8516, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8517, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8518, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8519, plain, ( class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8520, plain, ( class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8521, plain, ( class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8522, plain, ( class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8523, plain, ( class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8524, plain, ( class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8525, plain, ( class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8526, plain, ( class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8527, plain, ( class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8528, plain, ( class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8529, plain, ( class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8530, plain, ( class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8531, plain, ( class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8532, plain, ( class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8533, plain, ( class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8534, plain, ( class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8535, plain, ( class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8536, plain, ( class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8537, plain, ( class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8538, plain, ( class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8539, plain, ( class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8540, plain, ( class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8541, plain, ( class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8542, plain, ( class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8543, plain, ( class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8544, plain, ( class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8545, plain, ( class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8546, plain, ( class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8547, plain, ( class_Power_Opower(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8548, plain, ( class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8549, plain, ( class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8550, plain, ( class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8551, plain, ( class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8552, plain, ( class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) )).
% 19.53/19.79 cnf(matrix-8553, plain, ( class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20824)) )).
% 19.53/19.79 cnf(matrix-8554, plain, ( ( hAPP(c_COMBI(_u20825), _u20826) = _u20826) )).
% 19.53/19.79 cnf(matrix-8555, plain, ( ( hAPP(hAPP(c_COMBK(_u20827, _u20828), _u20829), _u20830) = _u20829) )).
% 19.53/19.79 cnf(matrix-8556, plain, ( ( hAPP(hAPP(hAPP(c_COMBB(_u20831, _u20832, _u20833), _u20834), _u20835), _u20836) = hAPP(_u20834, hAPP(_u20835, _u20836))) )).
% 19.53/19.79 cnf(matrix-8557, plain, ( ( hAPP(hAPP(hAPP(c_COMBC(_u20837, _u20838, _u20839), _u20840), _u20841), _u20842) = hAPP(hAPP(_u20840, _u20842), _u20841)) )).
% 19.53/19.79 cnf(matrix-8558, plain, ( ( hAPP(hAPP(hAPP(c_COMBS(_u20843, _u20844, _u20845), _u20846), _u20847), _u20848) = hAPP(hAPP(_u20846, _u20848), hAPP(_u20847, _u20848))) )).
% 19.53/19.79 cnf(matrix-8559, plain, ( ~hBOOL(hAPP(hAPP(c_fequal, _u20849), _u20850)) | ( _u20849 = _u20850) )).
% 19.53/19.79 cnf(matrix-8560, plain, ( ( _u20851 != _u20852) | hBOOL(hAPP(hAPP(c_fequal, _u20851), _u20852)) )).
% 19.53/19.79 cnf(matrix-8561, plain, ( ~hBOOL(c_fFalse) )).
% 19.53/19.79 cnf(matrix-8562, plain, ( hBOOL(c_fTrue) )).
% 19.53/19.79 cnf(matrix-8563, plain, ( ~hBOOL(hAPP(c_fNot, _u20853)) | ~hBOOL(_u20853) )).
% 19.53/19.79 cnf(matrix-8564, plain, ( hBOOL(_u20854) | hBOOL(hAPP(c_fNot, _u20854)) )).
% 19.53/19.79 cnf(matrix-8565, plain, ( ~hBOOL(_u20856) | ~hBOOL(_u20855) | hBOOL(hAPP(hAPP(c_fconj, _u20855), _u20856)) )).
% 19.53/19.79 cnf(matrix-8566, plain, ( ~hBOOL(hAPP(hAPP(c_fconj, _u20857), _u20858)) | hBOOL(_u20857) )).
% 19.53/19.79 cnf(matrix-8567, plain, ( hBOOL(_u20860) | ~hBOOL(hAPP(hAPP(c_fconj, _u20859), _u20860)) )).
% 19.53/19.79 cnf(matrix-8568, plain, ( ~hBOOL(_u20861) | hBOOL(hAPP(hAPP(c_fdisj, _u20861), _u20862)) )).
% 19.53/19.79 cnf(matrix-8569, plain, ( ~hBOOL(_u20863) | hBOOL(hAPP(hAPP(c_fdisj, _u20864), _u20863)) )).
% 19.53/19.79 cnf(matrix-8570, plain, ( hBOOL(_u20866) | ~hBOOL(hAPP(hAPP(c_fdisj, _u20865), _u20866)) | hBOOL(_u20865) )).
% 19.53/19.79 cnf(matrix-8571, plain, ( hBOOL(_u20867) | hBOOL(hAPP(hAPP(c_fimplies, _u20867), _u20868)) )).
% 19.53/19.79 cnf(matrix-8572, plain, ( ~hBOOL(_u20869) | hBOOL(hAPP(hAPP(c_fimplies, _u20870), _u20869)) )).
% 19.53/19.79 cnf(matrix-8573, plain, ( hBOOL(_u20872) | ~hBOOL(hAPP(hAPP(c_fimplies, _u20871), _u20872)) | ~hBOOL(_u20871) )).
% 19.53/19.79 cnf(matrix-8574, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(t_a, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), v_t), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool))), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), v_t), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)))) )).
% 19.53/19.79
% 19.53/19.79 % Proof stack:
% 19.53/19.79 cnf(proof-stack, plain,
% 19.53/19.79 proof_stack(
% 19.53/19.79 start(8574),
% 19.53/19.79 left_branch(0, 1249, 1, 2),
% 19.53/19.79 left_branch(0, 1114, 0, 3),
% 19.53/19.79 right_branch(3),
% 19.53/19.79 right_branch(2)
% 19.53/19.79 )).
% 19.53/19.79 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------